{"id":1,"expression_no_base_symbol":"(≛(∥⊫($2670$↑)))≒∊(($1577$≃⋄)⫳≱↱(≯$1603$))↤⩊((≛$4206$)⪪$7077$↹⊜$2258$)","expression":"(≛(∥⊫(⊺⇮2670↑)))≒∊((⊺⇮1577≃⋄)⫳≱↱(≯⊺⇮1603))↤⩊((≛⊺⇮4206)⪪⊺⇮7077↹⊜⊺⇮2258)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":446,"operation_count":11,"complexity_ratio":40.54545454545455,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2670,"base":10}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1577,"base":10}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1603,"base":10}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":4206,"base":10}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":7077,"base":10},"right_expr":{"type":"numeric_atoms","value":2258,"base":10}}}}},"used_operators":["5KTvxBwnZo","W7eaUhjymW","P8v4zCKN1o","BThhyOhh10","13rbtpv6ld","ZvLB05nZmT","aN9a90urxU","keWfFq85dY","xD69zh8xqp","9bazX3JMtO"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","uFcxV4UQCh","jLgFTUHLKL","g55IO6H4Gj","JLbD19bQDL","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2670","layer":4},{"info":"compute unary expreesion, input=2670, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute unary expreesion, input=222, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1090","layer":2},{"info":"compute unary expreesion, input=1090, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":1},{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=1603","layer":4},{"info":"compute unary expreesion, input=1603, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":2},{"info":"number node, value=4206","layer":4},{"info":"compute unary expreesion, input=4206, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=7077","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=7077, right_input=2258, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5026","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=5026, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=3969","layer":2},{"info":"compute binary expreesion, left_input=-471, right_input=3969, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≛(∥⊫(⊺⇮2670↑)))≒∊((⊺⇮1577≃⋄)⫳≱↱(≯⊺⇮1603))↤⩊((≛⊺⇮4206)⪪⊺⇮7077↹⊜⊺⇮2258)=NaN","reverse_text":"NaN=(≛(∥⊫(⊺⇮2670↑)))≒∊((⊺⇮1577≃⋄)⫳≱↱(≯⊺⇮1603))↤⩊((≛⊺⇮4206)⪪⊺⇮7077↹⊜⊺⇮2258)","cot":[{"info":"⊺⇮2670↑=⊺⇮222","layer":3},{"info":"∥⊫⊺⇮222=⊺⇮1090","layer":2},{"info":"≛⊺⇮1090=⊺⇮-10","layer":1},{"info":"⊺⇮1577≃⋄=⊺⇮764","layer":3},{"info":"≯⊺⇮1603=⊺⇮0","layer":3},{"info":"⊺⇮764⫳≱↱⊺⇮0=⊺⇮-471","layer":2},{"info":"≛⊺⇮4206=⊺⇮-10","layer":3},{"info":"⊺⇮7077↹⊜⊺⇮2258=⊺⇮5026","layer":3},{"info":"⊺⇮-10⪪⊺⇮5026=⊺⇮3969","layer":2},{"info":"⊺⇮-471↤⩊⊺⇮3969=NaN","layer":1},{"info":"⊺⇮-10≒∊NaN=NaN","layer":0}]}
{"id":2,"expression_no_base_symbol":"((⪝⪂⫅$2591$)⩒⫫($4738$⩵∡$3134$)⊾⪯⋞($4285$⨼⩣$3301$⪊≅))→⨶⪴($2022$≌$1533$≨($4210$↸$3741$)⨭⪣(⨆≐≲($1845$⨸⪁$2241$)))","expression":"((⪝⪂⫅⊺⇮2591)⩒⫫(⊺⇮4738⩵∡⊺⇮3134)⊾⪯⋞(⊺⇮4285⨼⩣⊺⇮3301⪊≅))→⨶⪴(⊺⇮2022≌⊺⇮1533≨(⊺⇮4210↸⊺⇮3741)⨭⪣(⨆≐≲(⊺⇮1845⨸⪁⊺⇮2241)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6227,"operation_count":13,"complexity_ratio":479.0,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2591,"base":10}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4738,"base":10},"right_expr":{"type":"numeric_atoms","value":3134,"base":10}}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4285,"base":10},"right_expr":{"type":"numeric_atoms","value":3301,"base":10}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2022,"base":10},"right_expr":{"type":"numeric_atoms","value":1533,"base":10}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4210,"base":10},"right_expr":{"type":"numeric_atoms","value":3741,"base":10}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1845,"base":10},"right_expr":{"type":"numeric_atoms","value":2241,"base":10}}}}},"used_operators":["bF6eod5Gvf","HK0tfVPux8","KFSx94NKJn","XTarYq4gQB","Y7wcNGrDQJ","bjFbhXSADs","JxwMv5le6e","kn8WO9XteQ","0KMCeP1Jsh","lyWz822IDG","1eCjFl0mb9","Bi9z9uYZqW","g55IO6H4Gj"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp","NTOWxs364D","glklzrTFfD","tifHPKVTfV","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2591","layer":4},{"info":"compute unary expreesion, input=2591, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-380877","layer":3},{"info":"number node, value=4738","layer":4},{"info":"number node, value=3134","layer":4},{"info":"compute binary expreesion, left_input=4738, right_input=3134, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6463","layer":3},{"info":"compute binary expreesion, left_input=-380877, right_input=-6463, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=4285","layer":4},{"info":"number node, value=3301","layer":4},{"info":"compute binary expreesion, left_input=4285, right_input=3301, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"number node, value=2022","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=2022, right_input=1533, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=4210","layer":4},{"info":"number node, value=3741","layer":4},{"info":"compute binary expreesion, left_input=4210, right_input=3741, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4210","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4210, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=1845","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=2241, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8172","layer":3},{"info":"compute unary expreesion, input=8172, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=89100888","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=89100888, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⪝⪂⫅⊺⇮2591)⩒⫫(⊺⇮4738⩵∡⊺⇮3134)⊾⪯⋞(⊺⇮4285⨼⩣⊺⇮3301⪊≅))→⨶⪴(⊺⇮2022≌⊺⇮1533≨(⊺⇮4210↸⊺⇮3741)⨭⪣(⨆≐≲(⊺⇮1845⨸⪁⊺⇮2241)))=NaN","reverse_text":"NaN=((⪝⪂⫅⊺⇮2591)⩒⫫(⊺⇮4738⩵∡⊺⇮3134)⊾⪯⋞(⊺⇮4285⨼⩣⊺⇮3301⪊≅))→⨶⪴(⊺⇮2022≌⊺⇮1533≨(⊺⇮4210↸⊺⇮3741)⨭⪣(⨆≐≲(⊺⇮1845⨸⪁⊺⇮2241)))","cot":[{"info":"⪝⪂⫅⊺⇮2591=⊺⇮-380877","layer":3},{"info":"⊺⇮4738⩵∡⊺⇮3134=⊺⇮-6463","layer":3},{"info":"⊺⇮-380877⩒⫫⊺⇮-6463=⊺⇮160","layer":2},{"info":"⊺⇮4285⨼⩣⊺⇮3301=NaN","layer":3},{"info":"NaN⪊≅=NaN","layer":2},{"info":"⊺⇮160⊾⪯⋞NaN=NaN","layer":1},{"info":"⊺⇮2022≌⊺⇮1533=NaN","layer":3},{"info":"⊺⇮4210↸⊺⇮3741=⊺⇮4210","layer":3},{"info":"NaN≨⊺⇮4210=NaN","layer":2},{"info":"⊺⇮1845⨸⪁⊺⇮2241=⊺⇮8172","layer":3},{"info":"⨆≐≲⊺⇮8172=⊺⇮89100888","layer":2},{"info":"NaN⨭⪣⊺⇮89100888=NaN","layer":1},{"info":"NaN→⨶⪴NaN=NaN","layer":0}]}
{"id":3,"expression_no_base_symbol":"($1180$⨿$4618$≬⋮$1693$⇍⊗$5755$)≦↸(⨈⫕(⪹$3057$))⩵∡(($8176$∊∟⩊$1253$⨰($8511$∝$1385$))⪷)","expression":"(⊺⇮1180⨿⊺⇮4618≬⋮⊺⇮1693⇍⊗⊺⇮5755)≦↸(⨈⫕(⪹⊺⇮3057))⩵∡((⊺⇮8176∊∟⩊⊺⇮1253⨰(⊺⇮8511∝⊺⇮1385))⪷)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7966,"operation_count":11,"complexity_ratio":724.1818181818181,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1180,"base":10},"right_expr":{"type":"numeric_atoms","value":4618,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1693,"base":10},"right_expr":{"type":"numeric_atoms","value":5755,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3057,"base":10}}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":8176,"base":10},"right_expr":{"type":"numeric_atoms","value":1253,"base":10}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":8511,"base":10},"right_expr":{"type":"numeric_atoms","value":1385,"base":10}}}}},"used_operators":["Y7wcNGrDQJ","RygbFNSyEJ","kbkesczE7y","abYXlopdE0","5uvYHDjeKN","megm06wKyl","USyYr0JgAa","Qctrpi3WzA","eewbuw0ToL","ddLRYrp01A","cTDWOvIxvz"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tifHPKVTfV","Nsiff2A1zJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"number node, value=4618","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=4618, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1693","layer":4},{"info":"number node, value=5755","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=5755, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-244, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=3057","layer":4},{"info":"compute unary expreesion, input=3057, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2877","layer":3},{"info":"compute unary expreesion, input=-2877, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-21, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-1013","layer":1},{"info":"number node, value=8176","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=8176, right_input=1253, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1253","layer":3},{"info":"number node, value=8511","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=8511, right_input=1385, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=8516","layer":3},{"info":"compute binary expreesion, left_input=1253, right_input=8516, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-7253","layer":2},{"info":"compute unary expreesion, input=-7253, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1013, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1180⨿⊺⇮4618≬⋮⊺⇮1693⇍⊗⊺⇮5755)≦↸(⨈⫕(⪹⊺⇮3057))⩵∡((⊺⇮8176∊∟⩊⊺⇮1253⨰(⊺⇮8511∝⊺⇮1385))⪷)=NaN","reverse_text":"NaN=(⊺⇮1180⨿⊺⇮4618≬⋮⊺⇮1693⇍⊗⊺⇮5755)≦↸(⨈⫕(⪹⊺⇮3057))⩵∡((⊺⇮8176∊∟⩊⊺⇮1253⨰(⊺⇮8511∝⊺⇮1385))⪷)","cot":[{"info":"⊺⇮1180⨿⊺⇮4618=⊺⇮-319","layer":3},{"info":"⊺⇮1693⇍⊗⊺⇮5755=⊺⇮-244","layer":3},{"info":"⊺⇮-319≬⋮⊺⇮-244=⊺⇮868","layer":2},{"info":"⪹⊺⇮3057=⊺⇮-2877","layer":3},{"info":"⨈⫕⊺⇮-2877=⊺⇮-21","layer":2},{"info":"⊺⇮868≦↸⊺⇮-21=⊺⇮-1013","layer":1},{"info":"⊺⇮8176∊∟⩊⊺⇮1253=⊺⇮1253","layer":3},{"info":"⊺⇮8511∝⊺⇮1385=⊺⇮8516","layer":3},{"info":"⊺⇮1253⨰⊺⇮8516=⊺⇮-7253","layer":2},{"info":"⊺⇮-7253⪷=NaN","layer":1},{"info":"⊺⇮-1013⩵∡NaN=NaN","layer":0}]}
{"id":4,"expression_no_base_symbol":"∜⨇(($3111$⊹∫⫚$1814$)⪔⊥($4102$⪐)⋓(⇾⩊⇾($4585$⫔⩽⩺$3455$)))","expression":"∜⨇((⊺⇮3111⊹∫⫚⊺⇮1814)⪔⊥(⊺⇮4102⪐)⋓(⇾⩊⇾(⊺⇮4585⫔⩽⩺⊺⇮3455)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":158,"operation_count":7,"complexity_ratio":22.571428571428573,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3111,"base":10},"right_expr":{"type":"numeric_atoms","value":1814,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4102,"base":10}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4585,"base":10},"right_expr":{"type":"numeric_atoms","value":3455,"base":10}}}}},"used_operators":["uFPyJr306J","T2fj7uvVaJ","HJ9erzHUuu","uWAJUKEvyW","eH2TOUuTDT","bx9Z9DAK5y","i9eR4S00cU"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3111","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=3111, right_input=1814, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-268","layer":3},{"info":"number node, value=4102","layer":4},{"info":"compute unary expreesion, input=4102, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8204","layer":3},{"info":"compute binary expreesion, left_input=-268, right_input=8204, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-17679","layer":2},{"info":"number node, value=4585","layer":4},{"info":"number node, value=3455","layer":4},{"info":"compute binary expreesion, left_input=4585, right_input=3455, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-17679, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∜⨇((⊺⇮3111⊹∫⫚⊺⇮1814)⪔⊥(⊺⇮4102⪐)⋓(⇾⩊⇾(⊺⇮4585⫔⩽⩺⊺⇮3455)))=NaN","reverse_text":"NaN=∜⨇((⊺⇮3111⊹∫⫚⊺⇮1814)⪔⊥(⊺⇮4102⪐)⋓(⇾⩊⇾(⊺⇮4585⫔⩽⩺⊺⇮3455)))","cot":[{"info":"⊺⇮3111⊹∫⫚⊺⇮1814=⊺⇮-268","layer":3},{"info":"⊺⇮4102⪐=⊺⇮8204","layer":3},{"info":"⊺⇮-268⪔⊥⊺⇮8204=⊺⇮-17679","layer":2},{"info":"⊺⇮4585⫔⩽⩺⊺⇮3455=NaN","layer":3},{"info":"⇾⩊⇾NaN=NaN","layer":2},{"info":"⊺⇮-17679⋓NaN=NaN","layer":1},{"info":"∜⨇NaN=NaN","layer":0}]}
{"id":5,"expression_no_base_symbol":"↥(($2000$⋝⋈⪟$2944$)↤⩊($3043$⫢⨠$1395$)↡⊰⫅(($6673$⪇≇⋚$2923$)∧))","expression":"↥((⊺⇮2000⋝⋈⪟⊺⇮2944)↤⩊(⊺⇮3043⫢⨠⊺⇮1395)↡⊰⫅((⊺⇮6673⪇≇⋚⊺⇮2923)∧))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":270,"operation_count":7,"complexity_ratio":38.57142857142857,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2000,"base":10},"right_expr":{"type":"numeric_atoms","value":2944,"base":10}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3043,"base":10},"right_expr":{"type":"numeric_atoms","value":1395,"base":10}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6673,"base":10},"right_expr":{"type":"numeric_atoms","value":2923,"base":10}}}}},"used_operators":["A8NUZmVepG","VCtxkLNOzz","13rbtpv6ld","2DDjHMKMc0","xlXykHWxX1","z63VuFQld9","3sJ7IOPOlU"],"dependent_operators":["k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2000","layer":4},{"info":"number node, value=2944","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=2944, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2000","layer":3},{"info":"number node, value=3043","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=1395, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2000, right_input=160, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=6673","layer":4},{"info":"number node, value=2923","layer":4},{"info":"compute binary expreesion, left_input=6673, right_input=2923, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":0}],"base":10,"result_base":10,"text":"↥((⊺⇮2000⋝⋈⪟⊺⇮2944)↤⩊(⊺⇮3043⫢⨠⊺⇮1395)↡⊰⫅((⊺⇮6673⪇≇⋚⊺⇮2923)∧))=⊺⇮0","reverse_text":"⊺⇮0=↥((⊺⇮2000⋝⋈⪟⊺⇮2944)↤⩊(⊺⇮3043⫢⨠⊺⇮1395)↡⊰⫅((⊺⇮6673⪇≇⋚⊺⇮2923)∧))","cot":[{"info":"⊺⇮2000⋝⋈⪟⊺⇮2944=⊺⇮2000","layer":3},{"info":"⊺⇮3043⫢⨠⊺⇮1395=⊺⇮160","layer":3},{"info":"⊺⇮2000↤⩊⊺⇮160=NaN","layer":2},{"info":"⊺⇮6673⪇≇⋚⊺⇮2923=⊺⇮0","layer":3},{"info":"⊺⇮0∧=⊺⇮0","layer":2},{"info":"NaN↡⊰⫅⊺⇮0=⊺⇮0","layer":1},{"info":"↥⊺⇮0=⊺⇮0","layer":0}]}
{"id":6,"expression_no_base_symbol":"(⩦⩻⨪($2896$∝$4972$)⪒⊣⊆($1363$⊨$1689$))⪕((⊥($3089$⪨⊡$2406$))↺(⨂⪏⇭$2118$≚⊃≕$2252$))","expression":"(⩦⩻⨪(⊺⇮2896∝⊺⇮4972)⪒⊣⊆(⊺⇮1363⊨⊺⇮1689))⪕((⊥(⊺⇮3089⪨⊡⊺⇮2406))↺(⨂⪏⇭⊺⇮2118≚⊃≕⊺⇮2252))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":82,"operation_count":10,"complexity_ratio":8.2,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2896,"base":10},"right_expr":{"type":"numeric_atoms","value":4972,"base":10}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1363,"base":10},"right_expr":{"type":"numeric_atoms","value":1689,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3089,"base":10},"right_expr":{"type":"numeric_atoms","value":2406,"base":10}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2118,"base":10},"right_expr":{"type":"numeric_atoms","value":2252,"base":10}}}}},"used_operators":["umQnsF7QlU","2td37pGCOC","eRqsBgTDFp","cTDWOvIxvz","vg4gO5BX6G","7j4O788W3g","Q3PJZHRvZv","kuIXHzHcAH","AYdpE9sXAk","Bmrmz2XGnR"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"⊺⇮935","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2896","layer":4},{"info":"number node, value=4972","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=4972, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2901","layer":3},{"info":"number node, value=1363","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=1689, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6483","layer":3},{"info":"compute binary expreesion, left_input=2901, right_input=6483, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5802","layer":2},{"info":"compute unary expreesion, input=5802, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5802","layer":1},{"info":"number node, value=3089","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=3089, right_input=2406, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"number node, value=2118","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=2252, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-778","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-778, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-778","layer":1},{"info":"compute binary expreesion, left_input=5802, right_input=-778, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":10,"result_base":10,"text":"(⩦⩻⨪(⊺⇮2896∝⊺⇮4972)⪒⊣⊆(⊺⇮1363⊨⊺⇮1689))⪕((⊥(⊺⇮3089⪨⊡⊺⇮2406))↺(⨂⪏⇭⊺⇮2118≚⊃≕⊺⇮2252))=⊺⇮935","reverse_text":"⊺⇮935=(⩦⩻⨪(⊺⇮2896∝⊺⇮4972)⪒⊣⊆(⊺⇮1363⊨⊺⇮1689))⪕((⊥(⊺⇮3089⪨⊡⊺⇮2406))↺(⨂⪏⇭⊺⇮2118≚⊃≕⊺⇮2252))","cot":[{"info":"⊺⇮2896∝⊺⇮4972=⊺⇮2901","layer":3},{"info":"⊺⇮1363⊨⊺⇮1689=⊺⇮6483","layer":3},{"info":"⊺⇮2901⪒⊣⊆⊺⇮6483=⊺⇮5802","layer":2},{"info":"⩦⩻⨪⊺⇮5802=⊺⇮5802","layer":1},{"info":"⊺⇮3089⪨⊡⊺⇮2406=⊺⇮0","layer":3},{"info":"⊥⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2118≚⊃≕⊺⇮2252=⊺⇮67","layer":3},{"info":"⨂⪏⇭⊺⇮67=⊺⇮-778","layer":2},{"info":"⊺⇮0↺⊺⇮-778=⊺⇮-778","layer":1},{"info":"⊺⇮5802⪕⊺⇮-778=⊺⇮935","layer":0}]}
{"id":7,"expression_no_base_symbol":"($1609$⊴$1706$⨳⩥⨓$1052$⊔$3272$)⪛(⫇($7118$-$3518$))∙∹∝(≉($3970$⪄$4368$⇼⇔∾($1566$⩤)))","expression":"(⊺⇮1609⊴⊺⇮1706⨳⩥⨓⊺⇮1052⊔⊺⇮3272)⪛(⫇(⊺⇮7118-⊺⇮3518))∙∹∝(≉(⊺⇮3970⪄⊺⇮4368⇼⇔∾(⊺⇮1566⩤)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1861,"operation_count":11,"complexity_ratio":169.1818181818182,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1609,"base":10},"right_expr":{"type":"numeric_atoms","value":1706,"base":10}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1052,"base":10},"right_expr":{"type":"numeric_atoms","value":3272,"base":10}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7118,"base":10},"right_expr":{"type":"numeric_atoms","value":3518,"base":10}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3970,"base":10},"right_expr":{"type":"numeric_atoms","value":4368,"base":10}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1566,"base":10}}}}},"used_operators":["HmxsFra2vL","uFcxV4UQCh","nCS4ZIUYfx","Nsiff2A1zJ","E4l6HwMY31","YjI8oCXuph","rysDP5nf3Z","e1ybzncUwg","tifHPKVTfV","SUmda5xLS4","Z2TMIBDE3Q"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=1706, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=3272","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=3272, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=16064","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16064, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=7118","layer":4},{"info":"number node, value=3518","layer":4},{"info":"compute binary expreesion, left_input=7118, right_input=3518, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3600","layer":3},{"info":"compute unary expreesion, input=3600, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-5986","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5986, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=3970","layer":4},{"info":"number node, value=4368","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=4368, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-601121","layer":3},{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1566","layer":3},{"info":"compute binary expreesion, left_input=-601121, right_input=-1566, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=599555","layer":2},{"info":"compute unary expreesion, input=599555, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=600086","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=600086, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1609⊴⊺⇮1706⨳⩥⨓⊺⇮1052⊔⊺⇮3272)⪛(⫇(⊺⇮7118-⊺⇮3518))∙∹∝(≉(⊺⇮3970⪄⊺⇮4368⇼⇔∾(⊺⇮1566⩤)))=NaN","reverse_text":"NaN=(⊺⇮1609⊴⊺⇮1706⨳⩥⨓⊺⇮1052⊔⊺⇮3272)⪛(⫇(⊺⇮7118-⊺⇮3518))∙∹∝(≉(⊺⇮3970⪄⊺⇮4368⇼⇔∾(⊺⇮1566⩤)))","cot":[{"info":"⊺⇮1609⊴⊺⇮1706=NaN","layer":3},{"info":"⊺⇮1052⊔⊺⇮3272=⊺⇮16064","layer":3},{"info":"NaN⨳⩥⨓⊺⇮16064=NaN","layer":2},{"info":"⊺⇮7118-⊺⇮3518=⊺⇮3600","layer":3},{"info":"⫇⊺⇮3600=⊺⇮-5986","layer":2},{"info":"NaN⪛⊺⇮-5986=NaN","layer":1},{"info":"⊺⇮3970⪄⊺⇮4368=⊺⇮-601121","layer":3},{"info":"⊺⇮1566⩤=⊺⇮-1566","layer":3},{"info":"⊺⇮-601121⇼⇔∾⊺⇮-1566=⊺⇮599555","layer":2},{"info":"≉⊺⇮599555=⊺⇮600086","layer":1},{"info":"NaN∙∹∝⊺⇮600086=NaN","layer":0}]}
{"id":8,"expression_no_base_symbol":"(($5198$≹⇙⪍$2270$⋻⩜⩜($1245$↪⪝))⫸⊐($4423$⨽∌$1546$)⫁($1936$↬⩅∪))⪇≇⋚(∓⪦(($4018$⇀∌)⫃⨇$8554$⪎↠$1352$))","expression":"((⊺⇮5198≹⇙⪍⊺⇮2270⋻⩜⩜(⊺⇮1245↪⪝))⫸⊐(⊺⇮4423⨽∌⊺⇮1546)⫁(⊺⇮1936↬⩅∪))⪇≇⋚(∓⪦((⊺⇮4018⇀∌)⫃⨇⊺⇮8554⪎↠⊺⇮1352))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18470,"operation_count":12,"complexity_ratio":1539.1666666666667,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5198,"base":10},"right_expr":{"type":"numeric_atoms","value":2270,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1245,"base":10}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4423,"base":10},"right_expr":{"type":"numeric_atoms","value":1546,"base":10}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1936,"base":10}}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":4018,"base":10}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":8554,"base":10},"right_expr":{"type":"numeric_atoms","value":1352,"base":10}}}}},"used_operators":["3sJ7IOPOlU","mqXw5SEYmG","oDCm7WA9JY","AHs5Up7iyr","l07mrZUIn9","0ajvFaJAv0","9samAPKr6k","VJ330n2nnx","D309nIvmXG","09Ly4LVMIf","2k53nXOpI5","3tVxb0NHM4"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","9HNa5Wba9A","2DDjHMKMc0","cHh1gJQ2o6","AHs5Up7iyr","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5198","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=5198, right_input=2270, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1245","layer":4},{"info":"compute unary expreesion, input=1245, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=76171590","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=76171590, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=4423","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=4423, right_input=1546, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-5808","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5808, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=4018","layer":4},{"info":"compute unary expreesion, input=4018, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"number node, value=8554","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=8554, right_input=1352, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=160, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-672","layer":2},{"info":"compute unary expreesion, input=-672, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2990","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2990, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5198≹⇙⪍⊺⇮2270⋻⩜⩜(⊺⇮1245↪⪝))⫸⊐(⊺⇮4423⨽∌⊺⇮1546)⫁(⊺⇮1936↬⩅∪))⪇≇⋚(∓⪦((⊺⇮4018⇀∌)⫃⨇⊺⇮8554⪎↠⊺⇮1352))=NaN","reverse_text":"NaN=((⊺⇮5198≹⇙⪍⊺⇮2270⋻⩜⩜(⊺⇮1245↪⪝))⫸⊐(⊺⇮4423⨽∌⊺⇮1546)⫁(⊺⇮1936↬⩅∪))⪇≇⋚(∓⪦((⊺⇮4018⇀∌)⫃⨇⊺⇮8554⪎↠⊺⇮1352))","cot":[{"info":"⊺⇮5198≹⇙⪍⊺⇮2270=NaN","layer":3},{"info":"⊺⇮1245↪⪝=⊺⇮76171590","layer":3},{"info":"NaN⋻⩜⩜⊺⇮76171590=NaN","layer":2},{"info":"⊺⇮4423⨽∌⊺⇮1546=⊺⇮0","layer":3},{"info":"⊺⇮1936↬⩅∪=⊺⇮-5808","layer":3},{"info":"⊺⇮0⫁⊺⇮-5808=⊺⇮160","layer":2},{"info":"NaN⫸⊐⊺⇮160=NaN","layer":1},{"info":"⊺⇮4018⇀∌=⊺⇮113","layer":3},{"info":"⊺⇮8554⪎↠⊺⇮1352=⊺⇮160","layer":3},{"info":"⊺⇮113⫃⨇⊺⇮160=⊺⇮-672","layer":2},{"info":"∓⪦⊺⇮-672=⊺⇮-2990","layer":1},{"info":"NaN⪇≇⋚⊺⇮-2990=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"(($8019$∋$6799$⫔⩽⩺($4927$∲⫓$3634$))≭(⪛⨧($2579$⪛$1633$)))⊕∕((↽≂(⨝⨆$2814$))⇴∐($1308$∘$1449$⫡⨏$1209$⩣⫁∢$2055$))","expression":"((⊺⇮8019∋⊺⇮6799⫔⩽⩺(⊺⇮4927∲⫓⊺⇮3634))≭(⪛⨧(⊺⇮2579⪛⊺⇮1633)))⊕∕((↽≂(⨝⨆⊺⇮2814))⇴∐(⊺⇮1308∘⊺⇮1449⫡⨏⊺⇮1209⩣⫁∢⊺⇮2055))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":28901028,"operation_count":13,"complexity_ratio":2223156.0,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":8019,"base":10},"right_expr":{"type":"numeric_atoms","value":6799,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4927,"base":10},"right_expr":{"type":"numeric_atoms","value":3634,"base":10}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2579,"base":10},"right_expr":{"type":"numeric_atoms","value":1633,"base":10}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2814,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1308,"base":10},"right_expr":{"type":"numeric_atoms","value":1449,"base":10}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1209,"base":10},"right_expr":{"type":"numeric_atoms","value":2055,"base":10}}}}},"used_operators":["9cloC0Ngie","rxpJgHHUmx","i9eR4S00cU","ukq6epAj5P","i8ToyICDmI","6NJAcO2OWT","uFcxV4UQCh","HnzytWxmAO","u6S6b8DprG","bQ67fsrMVf","QMFrweE19q","Z5m6OM72h2","JDUIKTTSIa"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","AHs5Up7iyr","Tw270M8GLb","fu6greOZ01","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8019","layer":4},{"info":"number node, value=6799","layer":4},{"info":"compute binary expreesion, left_input=8019, right_input=6799, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=14450844","layer":3},{"info":"number node, value=4927","layer":4},{"info":"number node, value=3634","layer":4},{"info":"compute binary expreesion, left_input=4927, right_input=3634, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14450844, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=2579","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=1633, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=946","layer":3},{"info":"compute unary expreesion, input=946, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3293","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3293, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2814","layer":4},{"info":"compute unary expreesion, input=2814, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2605","layer":3},{"info":"compute unary expreesion, input=2605, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5210","layer":2},{"info":"number node, value=1308","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=1449, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2616","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2055, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2257","layer":3},{"info":"compute binary expreesion, left_input=2616, right_input=-2257, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9349","layer":2},{"info":"compute binary expreesion, left_input=-5210, right_input=9349, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮8019∋⊺⇮6799⫔⩽⩺(⊺⇮4927∲⫓⊺⇮3634))≭(⪛⨧(⊺⇮2579⪛⊺⇮1633)))⊕∕((↽≂(⨝⨆⊺⇮2814))⇴∐(⊺⇮1308∘⊺⇮1449⫡⨏⊺⇮1209⩣⫁∢⊺⇮2055))=NaN","reverse_text":"NaN=((⊺⇮8019∋⊺⇮6799⫔⩽⩺(⊺⇮4927∲⫓⊺⇮3634))≭(⪛⨧(⊺⇮2579⪛⊺⇮1633)))⊕∕((↽≂(⨝⨆⊺⇮2814))⇴∐(⊺⇮1308∘⊺⇮1449⫡⨏⊺⇮1209⩣⫁∢⊺⇮2055))","cot":[{"info":"⊺⇮8019∋⊺⇮6799=⊺⇮14450844","layer":3},{"info":"⊺⇮4927∲⫓⊺⇮3634=⊺⇮0","layer":3},{"info":"⊺⇮14450844⫔⩽⩺⊺⇮0=NaN","layer":2},{"info":"⊺⇮2579⪛⊺⇮1633=⊺⇮946","layer":3},{"info":"⪛⨧⊺⇮946=⊺⇮3293","layer":2},{"info":"NaN≭⊺⇮3293=NaN","layer":1},{"info":"⨝⨆⊺⇮2814=⊺⇮2605","layer":3},{"info":"↽≂⊺⇮2605=⊺⇮-5210","layer":2},{"info":"⊺⇮1308∘⊺⇮1449=⊺⇮2616","layer":3},{"info":"⊺⇮1209⩣⫁∢⊺⇮2055=⊺⇮-2257","layer":3},{"info":"⊺⇮2616⫡⨏⊺⇮-2257=⊺⇮9349","layer":2},{"info":"⊺⇮-5210⇴∐⊺⇮9349=⊺⇮-116","layer":1},{"info":"NaN⊕∕⊺⇮-116=NaN","layer":0}]}
{"id":10,"expression_no_base_symbol":"(($4581$⨐$2181$≬⋮(⫎≠⋺$2237$))∝(⩪∧⨌(⩒∊$1388$)))⋥≓≎(⊽(($7750$⫒⫫$3292$)≁($1044$⩨$1916$)))","expression":"((⊺⇮4581⨐⊺⇮2181≬⋮(⫎≠⋺⊺⇮2237))∝(⩪∧⨌(⩒∊⊺⇮1388)))⋥≓≎(⊽((⊺⇮7750⫒⫫⊺⇮3292)≁(⊺⇮1044⩨⊺⇮1916)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":95,"operation_count":11,"complexity_ratio":8.636363636363637,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4581,"base":10},"right_expr":{"type":"numeric_atoms","value":2181,"base":10}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2237,"base":10}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1388,"base":10}}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":7750,"base":10},"right_expr":{"type":"numeric_atoms","value":3292,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1044,"base":10},"right_expr":{"type":"numeric_atoms","value":1916,"base":10}}}}},"used_operators":["Qy55tPpLXF","cTDWOvIxvz","kbkesczE7y","Noe24qw2ks","LYeZOJ0nQG","6iOiAJX1F8","qazvmhNBbN","QxG7OkqoLX","8N2wDY1A35","6Ko8hGgeMq","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4581","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=4581, right_input=2181, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9162","layer":3},{"info":"number node, value=2237","layer":4},{"info":"compute unary expreesion, input=2237, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9162, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2019","layer":3},{"info":"compute unary expreesion, input=2019, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=20190","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=20190, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=873","layer":1},{"info":"number node, value=7750","layer":4},{"info":"number node, value=3292","layer":4},{"info":"compute binary expreesion, left_input=7750, right_input=3292, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1916, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=873, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4581⨐⊺⇮2181≬⋮(⫎≠⋺⊺⇮2237))∝(⩪∧⨌(⩒∊⊺⇮1388)))⋥≓≎(⊽((⊺⇮7750⫒⫫⊺⇮3292)≁(⊺⇮1044⩨⊺⇮1916)))=NaN","reverse_text":"NaN=((⊺⇮4581⨐⊺⇮2181≬⋮(⫎≠⋺⊺⇮2237))∝(⩪∧⨌(⩒∊⊺⇮1388)))⋥≓≎(⊽((⊺⇮7750⫒⫫⊺⇮3292)≁(⊺⇮1044⩨⊺⇮1916)))","cot":[{"info":"⊺⇮4581⨐⊺⇮2181=⊺⇮-9162","layer":3},{"info":"⫎≠⋺⊺⇮2237=⊺⇮0","layer":3},{"info":"⊺⇮-9162≬⋮⊺⇮0=⊺⇮868","layer":2},{"info":"⩒∊⊺⇮1388=⊺⇮2019","layer":3},{"info":"⩪∧⨌⊺⇮2019=⊺⇮20190","layer":2},{"info":"⊺⇮868∝⊺⇮20190=⊺⇮873","layer":1},{"info":"⊺⇮7750⫒⫫⊺⇮3292=NaN","layer":3},{"info":"⊺⇮1044⩨⊺⇮1916=⊺⇮-3","layer":3},{"info":"NaN≁⊺⇮-3=NaN","layer":2},{"info":"⊽NaN=NaN","layer":1},{"info":"⊺⇮873⋥≓≎NaN=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"(≛($1855$⫚↹⊑$2656$)∇⊂⋱($4163$⩺⪪$1382$))⨒(≋(⋗⩬⋾$4842$))∠↢($7715$⨑≵⋬$4464$)⪮%⊝($2870$⇼⇔∾$5685$)","expression":"(≛(⊺⇮1855⫚↹⊑⊺⇮2656)∇⊂⋱(⊺⇮4163⩺⪪⊺⇮1382))⨒(≋(⋗⩬⋾⊺⇮4842))∠↢(⊺⇮7715⨑≵⋬⊺⇮4464)⪮%⊝(⊺⇮2870⇼⇔∾⊺⇮5685)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":229,"operation_count":11,"complexity_ratio":20.818181818181817,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1855,"base":10},"right_expr":{"type":"numeric_atoms","value":2656,"base":10}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4163,"base":10},"right_expr":{"type":"numeric_atoms","value":1382,"base":10}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4842,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":7715,"base":10},"right_expr":{"type":"numeric_atoms","value":4464,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2870,"base":10},"right_expr":{"type":"numeric_atoms","value":5685,"base":10}}}}},"used_operators":["y75s1iXyHd","W7eaUhjymW","nhYeJWJD5X","dfKe02y8D2","uvdQJvN4PV","KbjG8mgYpV","61wBmkZwlr","DpFCA1CohY","IWmyXbctLI","XnXgA4xnOs","tifHPKVTfV"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=2656, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=4163","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=4163, right_input=1382, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-45394","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-45394, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=90788","layer":2},{"info":"compute unary expreesion, input=90788, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":1},{"info":"number node, value=4842","layer":4},{"info":"compute unary expreesion, input=4842, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14526","layer":3},{"info":"compute unary expreesion, input=-14526, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-14526","layer":2},{"info":"number node, value=7715","layer":4},{"info":"number node, value=4464","layer":4},{"info":"compute binary expreesion, left_input=7715, right_input=4464, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=8706","layer":3},{"info":"number node, value=2870","layer":4},{"info":"number node, value=5685","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=5685, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2815","layer":3},{"info":"compute binary expreesion, left_input=8706, right_input=2815, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=17728","layer":2},{"info":"compute binary expreesion, left_input=-14526, right_input=17728, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-189006","layer":1},{"info":"compute binary expreesion, left_input=-10, right_input=-189006, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":0}],"base":10,"result_base":10,"text":"(≛(⊺⇮1855⫚↹⊑⊺⇮2656)∇⊂⋱(⊺⇮4163⩺⪪⊺⇮1382))⨒(≋(⋗⩬⋾⊺⇮4842))∠↢(⊺⇮7715⨑≵⋬⊺⇮4464)⪮%⊝(⊺⇮2870⇼⇔∾⊺⇮5685)=⊺⇮1","reverse_text":"⊺⇮1=(≛(⊺⇮1855⫚↹⊑⊺⇮2656)∇⊂⋱(⊺⇮4163⩺⪪⊺⇮1382))⨒(≋(⋗⩬⋾⊺⇮4842))∠↢(⊺⇮7715⨑≵⋬⊺⇮4464)⪮%⊝(⊺⇮2870⇼⇔∾⊺⇮5685)","cot":[{"info":"⊺⇮1855⫚↹⊑⊺⇮2656=⊺⇮-447","layer":3},{"info":"⊺⇮4163⩺⪪⊺⇮1382=⊺⇮-45394","layer":3},{"info":"⊺⇮-447∇⊂⋱⊺⇮-45394=⊺⇮90788","layer":2},{"info":"≛⊺⇮90788=⊺⇮-10","layer":1},{"info":"⋗⩬⋾⊺⇮4842=⊺⇮-14526","layer":3},{"info":"≋⊺⇮-14526=⊺⇮-14526","layer":2},{"info":"⊺⇮7715⨑≵⋬⊺⇮4464=⊺⇮8706","layer":3},{"info":"⊺⇮2870⇼⇔∾⊺⇮5685=⊺⇮2815","layer":3},{"info":"⊺⇮8706⪮%⊝⊺⇮2815=⊺⇮17728","layer":2},{"info":"⊺⇮-14526∠↢⊺⇮17728=⊺⇮-189006","layer":1},{"info":"⊺⇮-10⨒⊺⇮-189006=⊺⇮1","layer":0}]}
{"id":12,"expression_no_base_symbol":"≯(($3830$⇀∌)≒∊($1413$∴≳≥)⇆⨓≜)","expression":"≯((⊺⇮3830⇀∌)≒∊(⊺⇮1413∴≳≥)⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":299,"operation_count":5,"complexity_ratio":59.8,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":3830,"base":10}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1413,"base":10}}}}},"used_operators":["keWfFq85dY","KvvgdUaMHJ","5KTvxBwnZo","2k53nXOpI5","a3N2hFLK0J"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","Uaa54Peajs","KYD54nUTWz","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=3830","layer":4},{"info":"compute unary expreesion, input=3830, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"number node, value=1413","layer":4},{"info":"compute unary expreesion, input=1413, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=5652","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=5652, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=371","layer":2},{"info":"compute unary expreesion, input=371, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≯((⊺⇮3830⇀∌)≒∊(⊺⇮1413∴≳≥)⇆⨓≜)=NaN","reverse_text":"NaN=≯((⊺⇮3830⇀∌)≒∊(⊺⇮1413∴≳≥)⇆⨓≜)","cot":[{"info":"⊺⇮3830⇀∌=⊺⇮113","layer":3},{"info":"⊺⇮1413∴≳≥=⊺⇮5652","layer":3},{"info":"⊺⇮113≒∊⊺⇮5652=⊺⇮371","layer":2},{"info":"⊺⇮371⇆⨓≜=NaN","layer":1},{"info":"≯NaN=NaN","layer":0}]}
{"id":13,"expression_no_base_symbol":"(⇺⋃(≸≮($6971$⨎$1864$)))⪛(($5169$∠↢$4608$)⪶≀⋏$5172$∼$3795$)⫉⨲⊜(⪲⇎($2065$∽$3589$))","expression":"(⇺⋃(≸≮(⊺⇮6971⨎⊺⇮1864)))⪛((⊺⇮5169∠↢⊺⇮4608)⪶≀⋏⊺⇮5172∼⊺⇮3795)⫉⨲⊜(⪲⇎(⊺⇮2065∽⊺⇮3589))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10125,"operation_count":10,"complexity_ratio":1012.5,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6971,"base":10},"right_expr":{"type":"numeric_atoms","value":1864,"base":10}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":5169,"base":10},"right_expr":{"type":"numeric_atoms","value":4608,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5172,"base":10},"right_expr":{"type":"numeric_atoms","value":3795,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2065,"base":10},"right_expr":{"type":"numeric_atoms","value":3589,"base":10}}}}},"used_operators":["uFcxV4UQCh","E5v5B3UAjG","AljMvE3RRm","rJVOvQCfKK","WhqkvtTD3t","zR4jO40bMj","KbjG8mgYpV","DyGG3AbaNP","XPYlsWDdGa","y4ImoPnbV5"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6971","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=6971, right_input=1864, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1864","layer":3},{"info":"compute unary expreesion, input=1864, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"number node, value=5169","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=5169, right_input=4608, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-84106","layer":3},{"info":"number node, value=5172","layer":4},{"info":"number node, value=3795","layer":4},{"info":"compute binary expreesion, left_input=5172, right_input=3795, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-84106, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"number node, value=2065","layer":4},{"info":"number node, value=3589","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=3589, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-20914","layer":3},{"info":"compute unary expreesion, input=-20914, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-41828","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-41828, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-41938","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-41938, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇺⋃(≸≮(⊺⇮6971⨎⊺⇮1864)))⪛((⊺⇮5169∠↢⊺⇮4608)⪶≀⋏⊺⇮5172∼⊺⇮3795)⫉⨲⊜(⪲⇎(⊺⇮2065∽⊺⇮3589))=NaN","reverse_text":"NaN=(⇺⋃(≸≮(⊺⇮6971⨎⊺⇮1864)))⪛((⊺⇮5169∠↢⊺⇮4608)⪶≀⋏⊺⇮5172∼⊺⇮3795)⫉⨲⊜(⪲⇎(⊺⇮2065∽⊺⇮3589))","cot":[{"info":"⊺⇮6971⨎⊺⇮1864=⊺⇮1864","layer":3},{"info":"≸≮⊺⇮1864=NaN","layer":2},{"info":"⇺⋃NaN=NaN","layer":1},{"info":"⊺⇮5169∠↢⊺⇮4608=⊺⇮-84106","layer":3},{"info":"⊺⇮5172∼⊺⇮3795=NaN","layer":3},{"info":"⊺⇮-84106⪶≀⋏NaN=NaN","layer":2},{"info":"⊺⇮2065∽⊺⇮3589=⊺⇮-20914","layer":3},{"info":"⪲⇎⊺⇮-20914=⊺⇮-41828","layer":2},{"info":"NaN⫉⨲⊜⊺⇮-41828=⊺⇮-41938","layer":1},{"info":"NaN⪛⊺⇮-41938=NaN","layer":0}]}
{"id":14,"expression_no_base_symbol":"⨡↴(⇨(($1429$⊪)⊲⩕⊾$6498$∣$1971$))","expression":"⨡↴(⇨((⊺⇮1429⊪)⊲⩕⊾⊺⇮6498∣⊺⇮1971))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":65,"operation_count":5,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1429,"base":10}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":6498,"base":10},"right_expr":{"type":"numeric_atoms","value":1971,"base":10}}}}},"used_operators":["liw5iZPkLH","G9tJMlZ94a","DmTXOeWf9t","zVYPLywUTj","PPChnnnBFF"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","k8jYdgA6NY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⊺⇮1049","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"compute unary expreesion, input=1429, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=6498","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=6498, right_input=1971, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6498","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6498, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-61610","layer":2},{"info":"compute unary expreesion, input=-61610, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1049","layer":0}],"base":10,"result_base":10,"text":"⨡↴(⇨((⊺⇮1429⊪)⊲⩕⊾⊺⇮6498∣⊺⇮1971))=⊺⇮1049","reverse_text":"⊺⇮1049=⨡↴(⇨((⊺⇮1429⊪)⊲⩕⊾⊺⇮6498∣⊺⇮1971))","cot":[{"info":"⊺⇮1429⊪=⊺⇮0","layer":3},{"info":"⊺⇮6498∣⊺⇮1971=⊺⇮6498","layer":3},{"info":"⊺⇮0⊲⩕⊾⊺⇮6498=⊺⇮-61610","layer":2},{"info":"⇨⊺⇮-61610=⊺⇮0","layer":1},{"info":"⨡↴⊺⇮0=⊺⇮1049","layer":0}]}
{"id":15,"expression_no_base_symbol":"(⨴⫝($1031$↼⊘⨖$4418$)⨂≜($1887$⨑≵⋬$1829$))∀⇚≩(($1809$⨑⩅≇$1392$⫸⊐($3068$⫌⩹⨱))≃($6015$↤⩊$1472$⨵⪆$7963$⋛$1420$))","expression":"(⨴⫝(⊺⇮1031↼⊘⨖⊺⇮4418)⨂≜(⊺⇮1887⨑≵⋬⊺⇮1829))∀⇚≩((⊺⇮1809⨑⩅≇⊺⇮1392⫸⊐(⊺⇮3068⫌⩹⨱))≃(⊺⇮6015↤⩊⊺⇮1472⨵⪆⊺⇮7963⋛⊺⇮1420))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10658,"operation_count":12,"complexity_ratio":888.1666666666666,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1031,"base":10},"right_expr":{"type":"numeric_atoms","value":4418,"base":10}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1887,"base":10},"right_expr":{"type":"numeric_atoms","value":1829,"base":10}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1809,"base":10},"right_expr":{"type":"numeric_atoms","value":1392,"base":10}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3068,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":6015,"base":10},"right_expr":{"type":"numeric_atoms","value":1472,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":7963,"base":10},"right_expr":{"type":"numeric_atoms","value":1420,"base":10}}}}},"used_operators":["LRNGc0VcxI","SVb2v531z1","k1SHOSEABc","bPywburJMS","XnXgA4xnOs","YbVcJGFEVW","mqXw5SEYmG","h92wMvzauj","EBcxylXtPf","2DQ55sFlQl","13rbtpv6ld","YbUVn0Rbpy"],"dependent_operators":["X99M06cbEe","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"number node, value=4418","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=4418, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8614","layer":3},{"info":"number node, value=1887","layer":4},{"info":"number node, value=1829","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=1829, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1989","layer":3},{"info":"compute binary expreesion, left_input=8614, right_input=-1989, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=nan","layer":1},{"info":"number node, value=1809","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=1392, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5427","layer":3},{"info":"number node, value=3068","layer":4},{"info":"compute unary expreesion, input=3068, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7537","layer":3},{"info":"compute binary expreesion, left_input=-5427, right_input=7537, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=6015","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=6015, right_input=1472, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=7963","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=7963, right_input=1420, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-60525","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-60525, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=160, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-1360","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1360, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨴⫝(⊺⇮1031↼⊘⨖⊺⇮4418)⨂≜(⊺⇮1887⨑≵⋬⊺⇮1829))∀⇚≩((⊺⇮1809⨑⩅≇⊺⇮1392⫸⊐(⊺⇮3068⫌⩹⨱))≃(⊺⇮6015↤⩊⊺⇮1472⨵⪆⊺⇮7963⋛⊺⇮1420))=NaN","reverse_text":"NaN=(⨴⫝(⊺⇮1031↼⊘⨖⊺⇮4418)⨂≜(⊺⇮1887⨑≵⋬⊺⇮1829))∀⇚≩((⊺⇮1809⨑⩅≇⊺⇮1392⫸⊐(⊺⇮3068⫌⩹⨱))≃(⊺⇮6015↤⩊⊺⇮1472⨵⪆⊺⇮7963⋛⊺⇮1420))","cot":[{"info":"⊺⇮1031↼⊘⨖⊺⇮4418=⊺⇮8614","layer":3},{"info":"⊺⇮1887⨑≵⋬⊺⇮1829=⊺⇮-1989","layer":3},{"info":"⊺⇮8614⨂≜⊺⇮-1989=NaN","layer":2},{"info":"⨴⫝NaN=NaN","layer":1},{"info":"⊺⇮1809⨑⩅≇⊺⇮1392=⊺⇮-5427","layer":3},{"info":"⊺⇮3068⫌⩹⨱=⊺⇮7537","layer":3},{"info":"⊺⇮-5427⫸⊐⊺⇮7537=⊺⇮968","layer":2},{"info":"⊺⇮6015↤⩊⊺⇮1472=NaN","layer":3},{"info":"⊺⇮7963⋛⊺⇮1420=⊺⇮-60525","layer":3},{"info":"NaN⨵⪆⊺⇮-60525=⊺⇮160","layer":2},{"info":"⊺⇮968≃⊺⇮160=⊺⇮-1360","layer":1},{"info":"NaN∀⇚≩⊺⇮-1360=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"($4454$≥⨤⩑$3311$)⪡(⇐$1456$)⫔⩽⩺($1071$⩘)⨽($3625$+$1357$)/(⫎≠⋺($2735$⫢⨠$7467$⋷(⨈⫕$4537$)))","expression":"(⊺⇮4454≥⨤⩑⊺⇮3311)⪡(⇐⊺⇮1456)⫔⩽⩺(⊺⇮1071⩘)⨽(⊺⇮3625+⊺⇮1357)/(⫎≠⋺(⊺⇮2735⫢⨠⊺⇮7467⋷(⨈⫕⊺⇮4537)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":685,"operation_count":12,"complexity_ratio":57.083333333333336,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4454,"base":10},"right_expr":{"type":"numeric_atoms","value":3311,"base":10}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1456,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1071,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3625,"base":10},"right_expr":{"type":"numeric_atoms","value":1357,"base":10}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2735,"base":10},"right_expr":{"type":"numeric_atoms","value":7467,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4537,"base":10}}}}},"used_operators":["XhwjNDsVaA","i9eR4S00cU","oraRL2iQuh","gJLn6v0xnP","nmZMaaE0Q9","8HhzD0ZcuI","wvHyciQT5X","W4YGzv6Whe","LYeZOJ0nQG","23Mk6UjR3U","xlXykHWxX1","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","Tw270M8GLb","fu6greOZ01","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9ICcGScMcE","dfKe02y8D2","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4454","layer":4},{"info":"number node, value=3311","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=3311, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1456","layer":4},{"info":"compute unary expreesion, input=1456, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=3874","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3874, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":2},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=3625","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=3625, right_input=1357, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4982","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=4982, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27099","layer":2},{"info":"compute binary expreesion, left_input=107, right_input=-27099, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=2735","layer":4},{"info":"number node, value=7467","layer":4},{"info":"compute binary expreesion, left_input=2735, right_input=7467, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=4537","layer":4},{"info":"compute unary expreesion, input=4537, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-21, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":2},{"info":"compute unary expreesion, input=-320, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-709, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4454≥⨤⩑⊺⇮3311)⪡(⇐⊺⇮1456)⫔⩽⩺(⊺⇮1071⩘)⨽(⊺⇮3625+⊺⇮1357)/(⫎≠⋺(⊺⇮2735⫢⨠⊺⇮7467⋷(⨈⫕⊺⇮4537)))=NaN","reverse_text":"NaN=(⊺⇮4454≥⨤⩑⊺⇮3311)⪡(⇐⊺⇮1456)⫔⩽⩺(⊺⇮1071⩘)⨽(⊺⇮3625+⊺⇮1357)/(⫎≠⋺(⊺⇮2735⫢⨠⊺⇮7467⋷(⨈⫕⊺⇮4537)))","cot":[{"info":"⊺⇮4454≥⨤⩑⊺⇮3311=⊺⇮1234","layer":3},{"info":"⇐⊺⇮1456=⊺⇮3874","layer":3},{"info":"⊺⇮1234⪡⊺⇮3874=⊺⇮107","layer":2},{"info":"⊺⇮1071⩘=⊺⇮67","layer":3},{"info":"⊺⇮3625+⊺⇮1357=⊺⇮4982","layer":3},{"info":"⊺⇮67⨽⊺⇮4982=⊺⇮-27099","layer":2},{"info":"⊺⇮107⫔⩽⩺⊺⇮-27099=NaN","layer":1},{"info":"⊺⇮2735⫢⨠⊺⇮7467=⊺⇮160","layer":3},{"info":"⨈⫕⊺⇮4537=⊺⇮-21","layer":3},{"info":"⊺⇮160⋷⊺⇮-21=⊺⇮-320","layer":2},{"info":"⫎≠⋺⊺⇮-320=⊺⇮-709","layer":1},{"info":"NaN/⊺⇮-709=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"($5405$≹⇙⪍$1870$⩢≌)⨜⨶(($1598$⪉⨛$1279$)⋳⪒$1197$⪭$7097$)⪨≂($1409$⩣⫁∢$1547$≬⋮(⊖$1590$))⫥∨⫟$1143$⪬$6240$⪡$5232$⨟⋌⩍$1987$","expression":"(⊺⇮5405≹⇙⪍⊺⇮1870⩢≌)⨜⨶((⊺⇮1598⪉⨛⊺⇮1279)⋳⪒⊺⇮1197⪭⊺⇮7097)⪨≂(⊺⇮1409⩣⫁∢⊺⇮1547≬⋮(⊖⊺⇮1590))⫥∨⫟⊺⇮1143⪬⊺⇮6240⪡⊺⇮5232⨟⋌⩍⊺⇮1987","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1077,"operation_count":14,"complexity_ratio":76.92857142857143,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5405,"base":10},"right_expr":{"type":"numeric_atoms","value":1870,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1598,"base":10},"right_expr":{"type":"numeric_atoms","value":1279,"base":10}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1197,"base":10},"right_expr":{"type":"numeric_atoms","value":7097,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1409,"base":10},"right_expr":{"type":"numeric_atoms","value":1547,"base":10}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1590,"base":10}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1143,"base":10},"right_expr":{"type":"numeric_atoms","value":6240,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5232,"base":10},"right_expr":{"type":"numeric_atoms","value":1987,"base":10}}}}},"used_operators":["sdazOOVcIp","HiPekx5b7W","D617RFjZIq","AHs5Up7iyr","12rbrZMWeM","EWw2JM7wp4","j9kHMeSvPp","KYD54nUTWz","kbkesczE7y","JDUIKTTSIa","U6pG0PXrV3","oraRL2iQuh","Ez1Nq5fNfI","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","hTbEZDJLEm","o20kRiQErp","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","COABgblf1C","xUOZtlo3hN","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5405","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=5405, right_input=1870, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1279, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3730","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=7097","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=7097, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=3730, right_input=5, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7168","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=7168, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-14080","layer":1},{"info":"number node, value=1409","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=1547, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2657","layer":3},{"info":"number node, value=1590","layer":4},{"info":"compute unary expreesion, input=1590, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2657, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1143","layer":4},{"info":"number node, value=6240","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=6240, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=5232","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=5232, right_input=1987, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-14080, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5405≹⇙⪍⊺⇮1870⩢≌)⨜⨶((⊺⇮1598⪉⨛⊺⇮1279)⋳⪒⊺⇮1197⪭⊺⇮7097)⪨≂(⊺⇮1409⩣⫁∢⊺⇮1547≬⋮(⊖⊺⇮1590))⫥∨⫟⊺⇮1143⪬⊺⇮6240⪡⊺⇮5232⨟⋌⩍⊺⇮1987=NaN","reverse_text":"NaN=(⊺⇮5405≹⇙⪍⊺⇮1870⩢≌)⨜⨶((⊺⇮1598⪉⨛⊺⇮1279)⋳⪒⊺⇮1197⪭⊺⇮7097)⪨≂(⊺⇮1409⩣⫁∢⊺⇮1547≬⋮(⊖⊺⇮1590))⫥∨⫟⊺⇮1143⪬⊺⇮6240⪡⊺⇮5232⨟⋌⩍⊺⇮1987","cot":[{"info":"⊺⇮5405≹⇙⪍⊺⇮1870=NaN","layer":3},{"info":"NaN⩢≌=⊺⇮113","layer":2},{"info":"⊺⇮1598⪉⨛⊺⇮1279=⊺⇮3730","layer":3},{"info":"⊺⇮1197⪭⊺⇮7097=⊺⇮5","layer":3},{"info":"⊺⇮3730⋳⪒⊺⇮5=⊺⇮7168","layer":2},{"info":"⊺⇮113⨜⨶⊺⇮7168=⊺⇮-14080","layer":1},{"info":"⊺⇮1409⩣⫁∢⊺⇮1547=⊺⇮-2657","layer":3},{"info":"⊖⊺⇮1590=⊺⇮0","layer":3},{"info":"⊺⇮-2657≬⋮⊺⇮0=⊺⇮868","layer":2},{"info":"⊺⇮1143⪬⊺⇮6240=⊺⇮1234","layer":3},{"info":"⊺⇮5232⨟⋌⩍⊺⇮1987=NaN","layer":3},{"info":"⊺⇮1234⪡NaN=NaN","layer":2},{"info":"⊺⇮868⫥∨⫟NaN=NaN","layer":1},{"info":"⊺⇮-14080⪨≂NaN=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"⇉-⫰(↞≼($5487$⩹$5489$)⨽∌($2765$≦≮≮))","expression":"⇉-⫰(↞≼(⊺⇮5487⩹⊺⇮5489)⨽∌(⊺⇮2765≦≮≮))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":175,"operation_count":5,"complexity_ratio":35.0,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5487,"base":10},"right_expr":{"type":"numeric_atoms","value":5489,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2765,"base":10}}}}},"used_operators":["IGFM8TAlm9","DE7zCoGJt9","9samAPKr6k","2Wsdkap16l","D4vGDi5EA2"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮20","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5487","layer":4},{"info":"number node, value=5489","layer":4},{"info":"compute binary expreesion, left_input=5487, right_input=5489, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5487","layer":3},{"info":"number node, value=2765","layer":4},{"info":"compute unary expreesion, input=2765, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8295","layer":3},{"info":"compute binary expreesion, left_input=5487, right_input=-8295, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-414","layer":1},{"info":"compute unary expreesion, input=-414, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":10,"result_base":10,"text":"⇉-⫰(↞≼(⊺⇮5487⩹⊺⇮5489)⨽∌(⊺⇮2765≦≮≮))=⊺⇮20","reverse_text":"⊺⇮20=⇉-⫰(↞≼(⊺⇮5487⩹⊺⇮5489)⨽∌(⊺⇮2765≦≮≮))","cot":[{"info":"⊺⇮5487⩹⊺⇮5489=⊺⇮5487","layer":3},{"info":"⊺⇮2765≦≮≮=⊺⇮-8295","layer":3},{"info":"⊺⇮5487⨽∌⊺⇮-8295=⊺⇮0","layer":2},{"info":"↞≼⊺⇮0=⊺⇮-414","layer":1},{"info":"⇉-⫰⊺⇮-414=⊺⇮20","layer":0}]}
{"id":19,"expression_no_base_symbol":"(↩(⨵($1307$≥⨤⩑$2220$)))⊍⩺⋍(($2176$⊠≄⫣)↳∿⪆($1601$⩇∃⫛$3663$)∪⫐($1430$≦≮≮)⨑≵⋬(⪛⨧$1247$))","expression":"(↩(⨵(⊺⇮1307≥⨤⩑⊺⇮2220)))⊍⩺⋍((⊺⇮2176⊠≄⫣)↳∿⪆(⊺⇮1601⩇∃⫛⊺⇮3663)∪⫐(⊺⇮1430≦≮≮)⨑≵⋬(⪛⨧⊺⇮1247))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2770,"operation_count":11,"complexity_ratio":251.8181818181818,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1307,"base":10},"right_expr":{"type":"numeric_atoms","value":2220,"base":10}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2176,"base":10}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1601,"base":10},"right_expr":{"type":"numeric_atoms","value":3663,"base":10}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1430,"base":10}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1247,"base":10}}}}},"used_operators":["OXDGMFPWZM","jLgFTUHLKL","Tl3Y52tvF8","gJLn6v0xnP","7YooWSwCyH","Cw4SuJJGHO","DIvbN7qnHd","1aApVXNlOP","XnXgA4xnOs","D4vGDi5EA2","6NJAcO2OWT"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rJVOvQCfKK","2DDjHMKMc0","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1307","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=2220, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-11081","layer":2},{"info":"compute unary expreesion, input=-11081, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=46944","layer":1},{"info":"number node, value=2176","layer":4},{"info":"compute unary expreesion, input=2176, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1601","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=3663, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=2535","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2535, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1430","layer":4},{"info":"compute unary expreesion, input=1430, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4290","layer":3},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3895","layer":3},{"info":"compute binary expreesion, left_input=-4290, right_input=3895, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-47336","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-47336, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=46944, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↩(⨵(⊺⇮1307≥⨤⩑⊺⇮2220)))⊍⩺⋍((⊺⇮2176⊠≄⫣)↳∿⪆(⊺⇮1601⩇∃⫛⊺⇮3663)∪⫐(⊺⇮1430≦≮≮)⨑≵⋬(⪛⨧⊺⇮1247))=NaN","reverse_text":"NaN=(↩(⨵(⊺⇮1307≥⨤⩑⊺⇮2220)))⊍⩺⋍((⊺⇮2176⊠≄⫣)↳∿⪆(⊺⇮1601⩇∃⫛⊺⇮3663)∪⫐(⊺⇮1430≦≮≮)⨑≵⋬(⪛⨧⊺⇮1247))","cot":[{"info":"⊺⇮1307≥⨤⩑⊺⇮2220=⊺⇮1234","layer":3},{"info":"⨵⊺⇮1234=⊺⇮-11081","layer":2},{"info":"↩⊺⇮-11081=⊺⇮46944","layer":1},{"info":"⊺⇮2176⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮1601⩇∃⫛⊺⇮3663=⊺⇮2535","layer":3},{"info":"⊺⇮0↳∿⪆⊺⇮2535=NaN","layer":2},{"info":"⊺⇮1430≦≮≮=⊺⇮-4290","layer":3},{"info":"⪛⨧⊺⇮1247=⊺⇮3895","layer":3},{"info":"⊺⇮-4290⨑≵⋬⊺⇮3895=⊺⇮-47336","layer":2},{"info":"NaN∪⫐⊺⇮-47336=NaN","layer":1},{"info":"⊺⇮46944⊍⩺⋍NaN=NaN","layer":0}]}
{"id":20,"expression_no_base_symbol":"⊊≼∋(⨛(⫶⊄≣$1489$)∴($1242$⪔⊥$3527$))","expression":"⊊≼∋(⨛(⫶⊄≣⊺⇮1489)∴(⊺⇮1242⪔⊥⊺⇮3527))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1618,"operation_count":5,"complexity_ratio":323.6,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1489,"base":10}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1242,"base":10},"right_expr":{"type":"numeric_atoms","value":3527,"base":10}}}}},"used_operators":["FWz7pXsQhA","CoMdbyAt7R","hrf7POJlIJ","wxb3vTeyAj","HJ9erzHUuu"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1489","layer":4},{"info":"compute unary expreesion, input=1489, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=39931669","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=3527","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=3527, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-2285","layer":3},{"info":"compute binary expreesion, left_input=39931669, right_input=-2285, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=79864986","layer":2},{"info":"compute unary expreesion, input=79864986, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊊≼∋(⨛(⫶⊄≣⊺⇮1489)∴(⊺⇮1242⪔⊥⊺⇮3527))=NaN","reverse_text":"NaN=⊊≼∋(⨛(⫶⊄≣⊺⇮1489)∴(⊺⇮1242⪔⊥⊺⇮3527))","cot":[{"info":"⫶⊄≣⊺⇮1489=⊺⇮39931669","layer":3},{"info":"⊺⇮1242⪔⊥⊺⇮3527=⊺⇮-2285","layer":3},{"info":"⊺⇮39931669∴⊺⇮-2285=⊺⇮79864986","layer":2},{"info":"⨛⊺⇮79864986=NaN","layer":1},{"info":"⊊≼∋NaN=NaN","layer":0}]}
{"id":21,"expression_no_base_symbol":"(($1782$⨚$2588$)⪒⊣⊆($1242$⋾⨃∁$4206$)⫉⨲⊜($2228$∼$2894$⨵⪆$1096$⋥≓≎$2757$))⊱⇼⊻($5418$≌$1790$↼⊘⨖($2210$⫳≱↱$1292$)↸($1417$⨻⩈⩔$2120$⫌⩉⩟$3591$↬$1173$))","expression":"((⊺⇮1782⨚⊺⇮2588)⪒⊣⊆(⊺⇮1242⋾⨃∁⊺⇮4206)⫉⨲⊜(⊺⇮2228∼⊺⇮2894⨵⪆⊺⇮1096⋥≓≎⊺⇮2757))⊱⇼⊻(⊺⇮5418≌⊺⇮1790↼⊘⨖(⊺⇮2210⫳≱↱⊺⇮1292)↸(⊺⇮1417⨻⩈⩔⊺⇮2120⫌⩉⩟⊺⇮3591↬⊺⇮1173))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7243,"operation_count":15,"complexity_ratio":482.8666666666667,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1782,"base":10},"right_expr":{"type":"numeric_atoms","value":2588,"base":10}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1242,"base":10},"right_expr":{"type":"numeric_atoms","value":4206,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2228,"base":10},"right_expr":{"type":"numeric_atoms","value":2894,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1096,"base":10},"right_expr":{"type":"numeric_atoms","value":2757,"base":10}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5418,"base":10},"right_expr":{"type":"numeric_atoms","value":1790,"base":10}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2210,"base":10},"right_expr":{"type":"numeric_atoms","value":1292,"base":10}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1417,"base":10},"right_expr":{"type":"numeric_atoms","value":2120,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3591,"base":10},"right_expr":{"type":"numeric_atoms","value":1173,"base":10}}}}},"used_operators":["FyVja0WsTP","WhqkvtTD3t","eRqsBgTDFp","nREPSIbpBE","212REbPD9h","2DQ55sFlQl","DyGG3AbaNP","Qy55tPpLXF","1eCjFl0mb9","bPywburJMS","lyWz822IDG","ZvLB05nZmT","XIIwhv8d0m","nEsXyWgiOK","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","W4YGzv6Whe","BjRHVeLaeN","12rbrZMWeM","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1782","layer":4},{"info":"number node, value=2588","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=2588, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-5854","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=4206","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=4206, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=176853794","layer":3},{"info":"compute binary expreesion, left_input=-5854, right_input=176853794, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=353719398","layer":2},{"info":"number node, value=2228","layer":4},{"info":"number node, value=2894","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=2894, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=2757","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=2757, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4451","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4451, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=353719398, right_input=160, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":1},{"info":"number node, value=5418","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=5418, right_input=1790, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2210","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=1292, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-630","layer":2},{"info":"number node, value=1417","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=2120, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=2935","layer":3},{"info":"number node, value=3591","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=1173, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2935, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=-630, right_input=-50, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-630","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-630, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1782⨚⊺⇮2588)⪒⊣⊆(⊺⇮1242⋾⨃∁⊺⇮4206)⫉⨲⊜(⊺⇮2228∼⊺⇮2894⨵⪆⊺⇮1096⋥≓≎⊺⇮2757))⊱⇼⊻(⊺⇮5418≌⊺⇮1790↼⊘⨖(⊺⇮2210⫳≱↱⊺⇮1292)↸(⊺⇮1417⨻⩈⩔⊺⇮2120⫌⩉⩟⊺⇮3591↬⊺⇮1173))=NaN","reverse_text":"NaN=((⊺⇮1782⨚⊺⇮2588)⪒⊣⊆(⊺⇮1242⋾⨃∁⊺⇮4206)⫉⨲⊜(⊺⇮2228∼⊺⇮2894⨵⪆⊺⇮1096⋥≓≎⊺⇮2757))⊱⇼⊻(⊺⇮5418≌⊺⇮1790↼⊘⨖(⊺⇮2210⫳≱↱⊺⇮1292)↸(⊺⇮1417⨻⩈⩔⊺⇮2120⫌⩉⩟⊺⇮3591↬⊺⇮1173))","cot":[{"info":"⊺⇮1782⨚⊺⇮2588=⊺⇮-5854","layer":3},{"info":"⊺⇮1242⋾⨃∁⊺⇮4206=⊺⇮176853794","layer":3},{"info":"⊺⇮-5854⪒⊣⊆⊺⇮176853794=⊺⇮353719398","layer":2},{"info":"⊺⇮2228∼⊺⇮2894=NaN","layer":3},{"info":"⊺⇮1096⋥≓≎⊺⇮2757=⊺⇮4451","layer":3},{"info":"NaN⨵⪆⊺⇮4451=⊺⇮160","layer":2},{"info":"⊺⇮353719398⫉⨲⊜⊺⇮160=NaN","layer":1},{"info":"⊺⇮5418≌⊺⇮1790=NaN","layer":3},{"info":"⊺⇮2210⫳≱↱⊺⇮1292=⊺⇮-204","layer":3},{"info":"NaN↼⊘⨖⊺⇮-204=⊺⇮-630","layer":2},{"info":"⊺⇮1417⨻⩈⩔⊺⇮2120=⊺⇮2935","layer":3},{"info":"⊺⇮3591↬⊺⇮1173=NaN","layer":3},{"info":"⊺⇮2935⫌⩉⩟NaN=⊺⇮-50","layer":2},{"info":"⊺⇮-630↸⊺⇮-50=⊺⇮-630","layer":1},{"info":"NaN⊱⇼⊻⊺⇮-630=NaN","layer":0}]}
{"id":22,"expression_no_base_symbol":"≘((⩦⩻⨪$5944$)⇣⩺⋵($6478$⨔≚≋$1240$)⋻⩜⩜((⨞⊢$7259$)⩁))","expression":"≘((⩦⩻⨪⊺⇮5944)⇣⩺⋵(⊺⇮6478⨔≚≋⊺⇮1240)⋻⩜⩜((⨞⊢⊺⇮7259)⩁))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":444,"operation_count":7,"complexity_ratio":63.42857142857143,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5944,"base":10}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":6478,"base":10},"right_expr":{"type":"numeric_atoms","value":1240,"base":10}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7259,"base":10}}}}},"used_operators":["tcjXMdvYtA","oDCm7WA9JY","F4yD0voBRQ","2td37pGCOC","Z57zeUYC9z","5GqDbVmqXU","xUOZtlo3hN"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮6536404","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5944","layer":4},{"info":"compute unary expreesion, input=5944, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5944","layer":3},{"info":"number node, value=6478","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=6478, right_input=1240, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=5944, right_input=9872, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=7259","layer":4},{"info":"compute unary expreesion, input=7259, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7433","layer":3},{"info":"compute unary expreesion, input=-7433, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=7433","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=7433, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2964","layer":1},{"info":"compute unary expreesion, input=2964, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=6536404","layer":0}],"base":10,"result_base":10,"text":"≘((⩦⩻⨪⊺⇮5944)⇣⩺⋵(⊺⇮6478⨔≚≋⊺⇮1240)⋻⩜⩜((⨞⊢⊺⇮7259)⩁))=⊺⇮6536404","reverse_text":"⊺⇮6536404=≘((⩦⩻⨪⊺⇮5944)⇣⩺⋵(⊺⇮6478⨔≚≋⊺⇮1240)⋻⩜⩜((⨞⊢⊺⇮7259)⩁))","cot":[{"info":"⩦⩻⨪⊺⇮5944=⊺⇮5944","layer":3},{"info":"⊺⇮6478⨔≚≋⊺⇮1240=⊺⇮9872","layer":3},{"info":"⊺⇮5944⇣⩺⋵⊺⇮9872=⊺⇮-260","layer":2},{"info":"⨞⊢⊺⇮7259=⊺⇮-7433","layer":3},{"info":"⊺⇮-7433⩁=⊺⇮7433","layer":2},{"info":"⊺⇮-260⋻⩜⩜⊺⇮7433=⊺⇮2964","layer":1},{"info":"≘⊺⇮2964=⊺⇮6536404","layer":0}]}
{"id":23,"expression_no_base_symbol":"↥(∂⩏⊆(⩦⊞($2294$⩚⊴⇥$1016$)))","expression":"↥(∂⩏⊆(⩦⊞(⊺⇮2294⩚⊴⇥⊺⇮1016)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":156,"operation_count":4,"complexity_ratio":39.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2294,"base":10},"right_expr":{"type":"numeric_atoms","value":1016,"base":10}}}}},"used_operators":["A8NUZmVepG","8WDwsbhb0R","u7fv1HBiaC","NTOWxs364D"],"dependent_operators":["k8jYdgA6NY","14qkJME0vr","eLAdDNolq6","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮7","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2294","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1016, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3431","layer":3},{"info":"compute unary expreesion, input=-3431, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6918","layer":2},{"info":"compute unary expreesion, input=-6918, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=7402","layer":1},{"info":"compute unary expreesion, input=7402, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":0}],"base":10,"result_base":10,"text":"↥(∂⩏⊆(⩦⊞(⊺⇮2294⩚⊴⇥⊺⇮1016)))=⊺⇮7","reverse_text":"⊺⇮7=↥(∂⩏⊆(⩦⊞(⊺⇮2294⩚⊴⇥⊺⇮1016)))","cot":[{"info":"⊺⇮2294⩚⊴⇥⊺⇮1016=⊺⇮-3431","layer":3},{"info":"⩦⊞⊺⇮-3431=⊺⇮-6918","layer":2},{"info":"∂⩏⊆⊺⇮-6918=⊺⇮7402","layer":1},{"info":"↥⊺⇮7402=⊺⇮7","layer":0}]}
{"id":24,"expression_no_base_symbol":"((($2742$∲⫓$4412$)⩘⨬⇊)⫠↝⫳)⨵⪆$1197$≎⊠⪸$1915$⨔≚≋($4589$/$1303$)⊨((⊗$2577$)⊢)","expression":"(((⊺⇮2742∲⫓⊺⇮4412)⩘⨬⇊)⫠↝⫳)⨵⪆⊺⇮1197≎⊠⪸⊺⇮1915⨔≚≋(⊺⇮4589/⊺⇮1303)⊨((⊗⊺⇮2577)⊢)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":920,"operation_count":10,"complexity_ratio":92.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2742,"base":10},"right_expr":{"type":"numeric_atoms","value":4412,"base":10}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1197,"base":10},"right_expr":{"type":"numeric_atoms","value":1915,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4589,"base":10},"right_expr":{"type":"numeric_atoms","value":1303,"base":10}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2577,"base":10}}}}},"used_operators":["2DQ55sFlQl","8n5YIzOsVS","XXmTpEpWTW","i8ToyICDmI","vg4gO5BX6G","Z57zeUYC9z","bJkvcejdHO","XhwjNDsVaA","40aOVDgCDB","RhiyfpczSx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2742","layer":4},{"info":"number node, value=4412","layer":4},{"info":"compute binary expreesion, left_input=2742, right_input=4412, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-1798","layer":2},{"info":"compute unary expreesion, input=-1798, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-56913","layer":1},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1915, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=309550","layer":3},{"info":"number node, value=4589","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=4589, right_input=1303, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=309550, right_input=3, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=2577","layer":4},{"info":"compute unary expreesion, input=2577, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-5154","layer":3},{"info":"compute unary expreesion, input=-5154, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-5154","layer":2},{"info":"compute binary expreesion, left_input=9872, right_input=-5154, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=40519","layer":1},{"info":"compute binary expreesion, left_input=-56913, right_input=40519, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2742∲⫓⊺⇮4412)⩘⨬⇊)⫠↝⫳)⨵⪆⊺⇮1197≎⊠⪸⊺⇮1915⨔≚≋(⊺⇮4589/⊺⇮1303)⊨((⊗⊺⇮2577)⊢)=⊺⇮160","reverse_text":"⊺⇮160=(((⊺⇮2742∲⫓⊺⇮4412)⩘⨬⇊)⫠↝⫳)⨵⪆⊺⇮1197≎⊠⪸⊺⇮1915⨔≚≋(⊺⇮4589/⊺⇮1303)⊨((⊗⊺⇮2577)⊢)","cot":[{"info":"⊺⇮2742∲⫓⊺⇮4412=⊺⇮0","layer":3},{"info":"⊺⇮0⩘⨬⇊=⊺⇮-1798","layer":2},{"info":"⊺⇮-1798⫠↝⫳=⊺⇮-56913","layer":1},{"info":"⊺⇮1197≎⊠⪸⊺⇮1915=⊺⇮309550","layer":3},{"info":"⊺⇮4589/⊺⇮1303=⊺⇮3","layer":3},{"info":"⊺⇮309550⨔≚≋⊺⇮3=⊺⇮9872","layer":2},{"info":"⊗⊺⇮2577=⊺⇮-5154","layer":3},{"info":"⊺⇮-5154⊢=⊺⇮-5154","layer":2},{"info":"⊺⇮9872⊨⊺⇮-5154=⊺⇮40519","layer":1},{"info":"⊺⇮-56913⨵⪆⊺⇮40519=⊺⇮160","layer":0}]}
{"id":25,"expression_no_base_symbol":"(⋎⨆(≯$1075$))⪢((⋗⩴⪓$1325$)⨔≚≋(⇁⨣⪵$1110$))⇣⩺⋵(⋂(≘$1204$)⪒⊣⊆($1516$⨻⩈⩔$8132$))","expression":"(⋎⨆(≯⊺⇮1075))⪢((⋗⩴⪓⊺⇮1325)⨔≚≋(⇁⨣⪵⊺⇮1110))⇣⩺⋵(⋂(≘⊺⇮1204)⪒⊣⊆(⊺⇮1516⨻⩈⩔⊺⇮8132))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1833,"operation_count":11,"complexity_ratio":166.63636363636363,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1075,"base":10}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1325,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1110,"base":10}}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1204,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1516,"base":10},"right_expr":{"type":"numeric_atoms","value":8132,"base":10}}}}},"used_operators":["F4yD0voBRQ","dWAJyo7jo9","E64sFOc4tB","keWfFq85dY","Z57zeUYC9z","nOKPl9n5zu","inkyxCbjAn","BUOGQAYlQx","eRqsBgTDFp","tcjXMdvYtA","nEsXyWgiOK"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","k8jYdgA6NY","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","g55IO6H4Gj","JLbD19bQDL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","B5M0gjZbta","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⊺⇮-260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"number node, value=1325","layer":4},{"info":"compute unary expreesion, input=1325, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-412","layer":3},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-412, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2655604","layer":3},{"info":"number node, value=1516","layer":4},{"info":"number node, value=8132","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=8132, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=3727","layer":3},{"info":"compute binary expreesion, left_input=2655604, right_input=3727, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5311208","layer":2},{"info":"compute unary expreesion, input=5311208, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-74356316","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-74356316, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":10,"result_base":10,"text":"(⋎⨆(≯⊺⇮1075))⪢((⋗⩴⪓⊺⇮1325)⨔≚≋(⇁⨣⪵⊺⇮1110))⇣⩺⋵(⋂(≘⊺⇮1204)⪒⊣⊆(⊺⇮1516⨻⩈⩔⊺⇮8132))=⊺⇮-260","reverse_text":"⊺⇮-260=(⋎⨆(≯⊺⇮1075))⪢((⋗⩴⪓⊺⇮1325)⨔≚≋(⇁⨣⪵⊺⇮1110))⇣⩺⋵(⋂(≘⊺⇮1204)⪒⊣⊆(⊺⇮1516⨻⩈⩔⊺⇮8132))","cot":[{"info":"≯⊺⇮1075=⊺⇮0","layer":3},{"info":"⋎⨆⊺⇮0=⊺⇮0","layer":2},{"info":"⋗⩴⪓⊺⇮1325=⊺⇮-412","layer":3},{"info":"⇁⨣⪵⊺⇮1110=NaN","layer":3},{"info":"⊺⇮-412⨔≚≋NaN=NaN","layer":2},{"info":"⊺⇮0⪢NaN=NaN","layer":1},{"info":"≘⊺⇮1204=⊺⇮2655604","layer":3},{"info":"⊺⇮1516⨻⩈⩔⊺⇮8132=⊺⇮3727","layer":3},{"info":"⊺⇮2655604⪒⊣⊆⊺⇮3727=⊺⇮5311208","layer":2},{"info":"⋂⊺⇮5311208=⊺⇮-74356316","layer":1},{"info":"NaN⇣⩺⋵⊺⇮-74356316=⊺⇮-260","layer":0}]}
{"id":26,"expression_no_base_symbol":"(($1264$⪄$7267$)⫣⪄⊒($1060$∑⇟⊟$4248$))⋹⋡⊁(⫶⊄≣(∐⩳⋚$2645$))⪭($2892$⋕⪉⪜$4698$+⪬∐$1140$⨽∌$1340$⊝)","expression":"((⊺⇮1264⪄⊺⇮7267)⫣⪄⊒(⊺⇮1060∑⇟⊟⊺⇮4248))⋹⋡⊁(⫶⊄≣(∐⩳⋚⊺⇮2645))⪭(⊺⇮2892⋕⪉⪜⊺⇮4698+⪬∐⊺⇮1140⨽∌⊺⇮1340⊝)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":381470,"operation_count":11,"complexity_ratio":34679.09090909091,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1264,"base":10},"right_expr":{"type":"numeric_atoms","value":7267,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1060,"base":10},"right_expr":{"type":"numeric_atoms","value":4248,"base":10}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2645,"base":10}}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2892,"base":10},"right_expr":{"type":"numeric_atoms","value":4698,"base":10}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1140,"base":10},"right_expr":{"type":"numeric_atoms","value":1340,"base":10}}}}},"used_operators":["j9kHMeSvPp","As8RqfVLgs","RabNbG55vr","SUmda5xLS4","U7g4x0WXJJ","wxb3vTeyAj","SL6IHkK8vl","O6EZ0fifGK","2GS7woTJqF","z6LnFrNh4i","9samAPKr6k"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","g55IO6H4Gj","D4vGDi5EA2","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⊺⇮5","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1264","layer":4},{"info":"number node, value=7267","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=7267, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-212229","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=4248","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=4248, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-212229, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=2645","layer":4},{"info":"compute unary expreesion, input=2645, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=381012","layer":3},{"info":"compute unary expreesion, input=381012, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=10383","layer":1},{"info":"number node, value=2892","layer":4},{"info":"number node, value=4698","layer":4},{"info":"compute binary expreesion, left_input=2892, right_input=4698, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=1140","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1340, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-612","layer":2},{"info":"compute unary expreesion, input=-612, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-612","layer":1},{"info":"compute binary expreesion, left_input=10383, right_input=-612, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1264⪄⊺⇮7267)⫣⪄⊒(⊺⇮1060∑⇟⊟⊺⇮4248))⋹⋡⊁(⫶⊄≣(∐⩳⋚⊺⇮2645))⪭(⊺⇮2892⋕⪉⪜⊺⇮4698+⪬∐⊺⇮1140⨽∌⊺⇮1340⊝)=⊺⇮5","reverse_text":"⊺⇮5=((⊺⇮1264⪄⊺⇮7267)⫣⪄⊒(⊺⇮1060∑⇟⊟⊺⇮4248))⋹⋡⊁(⫶⊄≣(∐⩳⋚⊺⇮2645))⪭(⊺⇮2892⋕⪉⪜⊺⇮4698+⪬∐⊺⇮1140⨽∌⊺⇮1340⊝)","cot":[{"info":"⊺⇮1264⪄⊺⇮7267=⊺⇮-212229","layer":3},{"info":"⊺⇮1060∑⇟⊟⊺⇮4248=NaN","layer":3},{"info":"⊺⇮-212229⫣⪄⊒NaN=⊺⇮160","layer":2},{"info":"∐⩳⋚⊺⇮2645=⊺⇮381012","layer":3},{"info":"⫶⊄≣⊺⇮381012=NaN","layer":2},{"info":"⊺⇮160⋹⋡⊁NaN=⊺⇮10383","layer":1},{"info":"⊺⇮2892⋕⪉⪜⊺⇮4698=⊺⇮204","layer":3},{"info":"⊺⇮1140⨽∌⊺⇮1340=⊺⇮0","layer":3},{"info":"⊺⇮204+⪬∐⊺⇮0=⊺⇮-612","layer":2},{"info":"⊺⇮-612⊝=⊺⇮-612","layer":1},{"info":"⊺⇮10383⪭⊺⇮-612=⊺⇮5","layer":0}]}
{"id":27,"expression_no_base_symbol":"((↓⇌($4703$↢$1481$))⪗)⊾⪯⋞(⋂(($2218$*$6728$)⨳⩥⨓($2242$≋⫹)))","expression":"((↓⇌(⊺⇮4703↢⊺⇮1481))⪗)⊾⪯⋞(⋂((⊺⇮2218*⊺⇮6728)⨳⩥⨓(⊺⇮2242≋⫹)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6529,"operation_count":8,"complexity_ratio":816.125,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4703,"base":10},"right_expr":{"type":"numeric_atoms","value":1481,"base":10}}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2218,"base":10},"right_expr":{"type":"numeric_atoms","value":6728,"base":10}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2242,"base":10}}}}},"used_operators":["HK0tfVPux8","VEQNXA0ZBg","PxpmPgHHJV","WR6HLWljOP","BUOGQAYlQx","nCS4ZIUYfx","9HNa5Wba9A","N41Kp7NANJ"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4703","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=4703, right_input=1481, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4219","layer":3},{"info":"compute unary expreesion, input=4219, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4219","layer":2},{"info":"compute unary expreesion, input=4219, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=2218","layer":4},{"info":"number node, value=6728","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=6728, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14922704","layer":3},{"info":"number node, value=2242","layer":4},{"info":"compute unary expreesion, input=2242, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4484","layer":3},{"info":"compute binary expreesion, left_input=14922704, right_input=-4484, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-14927188","layer":2},{"info":"compute unary expreesion, input=-14927188, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=208981228","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=208981228, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↓⇌(⊺⇮4703↢⊺⇮1481))⪗)⊾⪯⋞(⋂((⊺⇮2218*⊺⇮6728)⨳⩥⨓(⊺⇮2242≋⫹)))=NaN","reverse_text":"NaN=((↓⇌(⊺⇮4703↢⊺⇮1481))⪗)⊾⪯⋞(⋂((⊺⇮2218*⊺⇮6728)⨳⩥⨓(⊺⇮2242≋⫹)))","cot":[{"info":"⊺⇮4703↢⊺⇮1481=⊺⇮4219","layer":3},{"info":"↓⇌⊺⇮4219=⊺⇮4219","layer":2},{"info":"⊺⇮4219⪗=NaN","layer":1},{"info":"⊺⇮2218*⊺⇮6728=⊺⇮14922704","layer":3},{"info":"⊺⇮2242≋⫹=⊺⇮-4484","layer":3},{"info":"⊺⇮14922704⨳⩥⨓⊺⇮-4484=⊺⇮-14927188","layer":2},{"info":"⋂⊺⇮-14927188=⊺⇮208981228","layer":1},{"info":"NaN⊾⪯⋞⊺⇮208981228=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"⫵↿(⊖∈(⇘$7062$))⇻⋧≁(($1767$⊀⩕)⫉⨲⊜($8668$⊹∫⫚$1326$))","expression":"⫵↿(⊖∈(⇘⊺⇮7062))⇻⋧≁((⊺⇮1767⊀⩕)⫉⨲⊜(⊺⇮8668⊹∫⫚⊺⇮1326))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8372010,"operation_count":7,"complexity_ratio":1196001.4285714286,"tree":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":7062,"base":10}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1767,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":8668,"base":10},"right_expr":{"type":"numeric_atoms","value":1326,"base":10}}}}},"used_operators":["ivGwdmUAux","jCPkEVoL5K","YFxL8Sc2Zy","MGuIdZPyUC","WhqkvtTD3t","r0FS3hW4cC","uWAJUKEvyW"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eewbuw0ToL","zVYPLywUTj","rGHVDoGpnC","nhYeJWJD5X","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⊺⇮137","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7062","layer":4},{"info":"compute unary expreesion, input=7062, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=418102","layer":3},{"info":"compute unary expreesion, input=418102, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=8356446","layer":2},{"info":"number node, value=1767","layer":4},{"info":"compute unary expreesion, input=1767, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=8668","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=8668, right_input=1326, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-240","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-240, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-350","layer":2},{"info":"compute binary expreesion, left_input=8356446, right_input=-350, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":10,"result_base":10,"text":"⫵↿(⊖∈(⇘⊺⇮7062))⇻⋧≁((⊺⇮1767⊀⩕)⫉⨲⊜(⊺⇮8668⊹∫⫚⊺⇮1326))=⊺⇮137","reverse_text":"⊺⇮137=⫵↿(⊖∈(⇘⊺⇮7062))⇻⋧≁((⊺⇮1767⊀⩕)⫉⨲⊜(⊺⇮8668⊹∫⫚⊺⇮1326))","cot":[{"info":"⇘⊺⇮7062=⊺⇮418102","layer":3},{"info":"⊖∈⊺⇮418102=⊺⇮8356446","layer":2},{"info":"⊺⇮1767⊀⩕=⊺⇮0","layer":3},{"info":"⊺⇮8668⊹∫⫚⊺⇮1326=⊺⇮-240","layer":3},{"info":"⊺⇮0⫉⨲⊜⊺⇮-240=⊺⇮-350","layer":2},{"info":"⊺⇮8356446⇻⋧≁⊺⇮-350=⊺⇮-447","layer":1},{"info":"⫵↿⊺⇮-447=⊺⇮137","layer":0}]}
{"id":29,"expression_no_base_symbol":"⇋⊎⋝((⫇($4563$↰))∕⩚$1358$≬⇓$8477$≀⩗∶$2040$⪎↠$1939$)","expression":"⇋⊎⋝((⫇(⊺⇮4563↰))∕⩚⊺⇮1358≬⇓⊺⇮8477≀⩗∶⊺⇮2040⪎↠⊺⇮1939)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":558,"operation_count":7,"complexity_ratio":79.71428571428571,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":4563,"base":10}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1358,"base":10},"right_expr":{"type":"numeric_atoms","value":8477,"base":10}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2040,"base":10},"right_expr":{"type":"numeric_atoms","value":1939,"base":10}}}}},"used_operators":["CzM2PEoXns","z9ffQ9n5Zr","YjI8oCXuph","bl5wxAcryP","8INZBEW696","jWTQ2TZYIH","3tVxb0NHM4"],"dependent_operators":["dWAJyo7jo9","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","nCS4ZIUYfx","Z2TMIBDE3Q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4563","layer":4},{"info":"compute unary expreesion, input=4563, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=4462","layer":3},{"info":"compute unary expreesion, input=4462, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-7710","layer":2},{"info":"number node, value=1358","layer":4},{"info":"number node, value=8477","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=8477, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=2040","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=1939, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=160, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=24","layer":2},{"info":"compute binary expreesion, left_input=-7710, right_input=24, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute unary expreesion, input=-487, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇋⊎⋝((⫇(⊺⇮4563↰))∕⩚⊺⇮1358≬⇓⊺⇮8477≀⩗∶⊺⇮2040⪎↠⊺⇮1939)=NaN","reverse_text":"NaN=⇋⊎⋝((⫇(⊺⇮4563↰))∕⩚⊺⇮1358≬⇓⊺⇮8477≀⩗∶⊺⇮2040⪎↠⊺⇮1939)","cot":[{"info":"⊺⇮4563↰=⊺⇮4462","layer":3},{"info":"⫇⊺⇮4462=⊺⇮-7710","layer":2},{"info":"⊺⇮1358≬⇓⊺⇮8477=⊺⇮-22","layer":3},{"info":"⊺⇮2040⪎↠⊺⇮1939=⊺⇮160","layer":3},{"info":"⊺⇮-22≀⩗∶⊺⇮160=⊺⇮24","layer":2},{"info":"⊺⇮-7710∕⩚⊺⇮24=⊺⇮-487","layer":1},{"info":"⇋⊎⋝⊺⇮-487=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"($3135$≁↽≥$4565$⊝⪿⪼$4927$⪎↠$1006$≓∲($1456$↹⊜$3280$)↤⩊($5079$≬⇓$1099$))∣(($5914$⩺⪪$8219$)⨭⪣($6451$⪊≅))⪟⇏(($1406$∀⇚≩$3475$)↠)","expression":"(⊺⇮3135≁↽≥⊺⇮4565⊝⪿⪼⊺⇮4927⪎↠⊺⇮1006≓∲(⊺⇮1456↹⊜⊺⇮3280)↤⩊(⊺⇮5079≬⇓⊺⇮1099))∣((⊺⇮5914⩺⪪⊺⇮8219)⨭⪣(⊺⇮6451⪊≅))⪟⇏((⊺⇮1406∀⇚≩⊺⇮3475)↠)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10372,"operation_count":14,"complexity_ratio":740.8571428571429,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3135,"base":10},"right_expr":{"type":"numeric_atoms","value":4565,"base":10}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4927,"base":10},"right_expr":{"type":"numeric_atoms","value":1006,"base":10}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1456,"base":10},"right_expr":{"type":"numeric_atoms","value":3280,"base":10}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5079,"base":10},"right_expr":{"type":"numeric_atoms","value":1099,"base":10}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5914,"base":10},"right_expr":{"type":"numeric_atoms","value":8219,"base":10}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":6451,"base":10}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1406,"base":10},"right_expr":{"type":"numeric_atoms","value":3475,"base":10}}}}},"used_operators":["PPChnnnBFF","s1XTVnmDOJ","3Oe9XWJUTD","ncHt1X6cMc","3tVxb0NHM4","13rbtpv6ld","9bazX3JMtO","jWTQ2TZYIH","GODebY97qR","kn8WO9XteQ","uvdQJvN4PV","bjFbhXSADs","LBdsKIvxzf","LRNGc0VcxI"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3135","layer":4},{"info":"number node, value=4565","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=4565, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=56957","layer":3},{"info":"number node, value=4927","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=4927, right_input=1006, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=56957, right_input=160, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=749965","layer":2},{"info":"number node, value=1456","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=3280, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-10304","layer":3},{"info":"number node, value=5079","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=5079, right_input=1099, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-10304, right_input=-22, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=749965, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"number node, value=5914","layer":4},{"info":"number node, value=8219","layer":4},{"info":"compute binary expreesion, left_input=5914, right_input=8219, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=6451","layer":4},{"info":"compute unary expreesion, input=6451, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=0, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1023","layer":2},{"info":"number node, value=1406","layer":4},{"info":"number node, value=3475","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=3475, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=1023, right_input=-447, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3135≁↽≥⊺⇮4565⊝⪿⪼⊺⇮4927⪎↠⊺⇮1006≓∲(⊺⇮1456↹⊜⊺⇮3280)↤⩊(⊺⇮5079≬⇓⊺⇮1099))∣((⊺⇮5914⩺⪪⊺⇮8219)⨭⪣(⊺⇮6451⪊≅))⪟⇏((⊺⇮1406∀⇚≩⊺⇮3475)↠)=NaN","reverse_text":"NaN=(⊺⇮3135≁↽≥⊺⇮4565⊝⪿⪼⊺⇮4927⪎↠⊺⇮1006≓∲(⊺⇮1456↹⊜⊺⇮3280)↤⩊(⊺⇮5079≬⇓⊺⇮1099))∣((⊺⇮5914⩺⪪⊺⇮8219)⨭⪣(⊺⇮6451⪊≅))⪟⇏((⊺⇮1406∀⇚≩⊺⇮3475)↠)","cot":[{"info":"⊺⇮3135≁↽≥⊺⇮4565=⊺⇮56957","layer":3},{"info":"⊺⇮4927⪎↠⊺⇮1006=⊺⇮160","layer":3},{"info":"⊺⇮56957⊝⪿⪼⊺⇮160=⊺⇮749965","layer":2},{"info":"⊺⇮1456↹⊜⊺⇮3280=⊺⇮-10304","layer":3},{"info":"⊺⇮5079≬⇓⊺⇮1099=⊺⇮-22","layer":3},{"info":"⊺⇮-10304↤⩊⊺⇮-22=NaN","layer":2},{"info":"⊺⇮749965≓∲NaN=NaN","layer":1},{"info":"⊺⇮5914⩺⪪⊺⇮8219=⊺⇮-1818","layer":3},{"info":"⊺⇮6451⪊≅=⊺⇮0","layer":3},{"info":"⊺⇮-1818⨭⪣⊺⇮0=⊺⇮1023","layer":2},{"info":"⊺⇮1406∀⇚≩⊺⇮3475=NaN","layer":3},{"info":"NaN↠=⊺⇮-447","layer":2},{"info":"⊺⇮1023⪟⇏⊺⇮-447=⊺⇮0","layer":1},{"info":"NaN∣⊺⇮0=NaN","layer":0}]}
{"id":31,"expression_no_base_symbol":"(((⫓⪴$8109$)≎⊠⪸$2519$≁$4098$)≨($1532$⫲≸⪮$1193$)≁↽≥($6876$≝⊿$1565$))⫣⪄⊒(($2423$⪥$1459$⋅⇍($2502$⊍⩺⋍$3022$))∇⊂⋱($1601$⊬⨰$6162$)⩣⫁∢($4129$⊾⪯⋞$5445$))","expression":"(((⫓⪴⊺⇮8109)≎⊠⪸⊺⇮2519≁⊺⇮4098)≨(⊺⇮1532⫲≸⪮⊺⇮1193)≁↽≥(⊺⇮6876≝⊿⊺⇮1565))⫣⪄⊒((⊺⇮2423⪥⊺⇮1459⋅⇍(⊺⇮2502⊍⩺⋍⊺⇮3022))∇⊂⋱(⊺⇮1601⊬⨰⊺⇮6162)⩣⫁∢(⊺⇮4129⊾⪯⋞⊺⇮5445))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20961,"operation_count":15,"complexity_ratio":1397.4,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":8109,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2519,"base":10},"right_expr":{"type":"numeric_atoms","value":4098,"base":10}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1532,"base":10},"right_expr":{"type":"numeric_atoms","value":1193,"base":10}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":6876,"base":10},"right_expr":{"type":"numeric_atoms","value":1565,"base":10}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2423,"base":10},"right_expr":{"type":"numeric_atoms","value":1459,"base":10}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2502,"base":10},"right_expr":{"type":"numeric_atoms","value":3022,"base":10}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1601,"base":10},"right_expr":{"type":"numeric_atoms","value":6162,"base":10}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4129,"base":10},"right_expr":{"type":"numeric_atoms","value":5445,"base":10}}}}},"used_operators":["RabNbG55vr","0KMCeP1Jsh","bJkvcejdHO","eLxqMNBOBk","8N2wDY1A35","ncHt1X6cMc","P3lXMJvFrc","OKKcZfAt5B","nhYeJWJD5X","AdZkA7nFnk","QbnwKVWMIQ","OXDGMFPWZM","JDUIKTTSIa","s3Fd5m9Dh2","HK0tfVPux8"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","oWn0xqSxBt","3Oe9XWJUTD","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8109","layer":4},{"info":"compute unary expreesion, input=8109, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=65755881","layer":3},{"info":"number node, value=2519","layer":4},{"info":"number node, value=4098","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=4098, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=85151","layer":3},{"info":"compute binary expreesion, left_input=65755881, right_input=85151, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":2},{"info":"number node, value=1532","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=1193, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1532","layer":3},{"info":"number node, value=6876","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=6876, right_input=1565, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10539","layer":3},{"info":"compute binary expreesion, left_input=1532, right_input=-10539, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=196, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"number node, value=2423","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=1459, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14344","layer":3},{"info":"number node, value=2502","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=3022, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14344, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-14917","layer":2},{"info":"number node, value=1601","layer":4},{"info":"number node, value=6162","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=6162, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=25193","layer":3},{"info":"number node, value=4129","layer":4},{"info":"number node, value=5445","layer":4},{"info":"compute binary expreesion, left_input=4129, right_input=5445, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=10464","layer":3},{"info":"compute binary expreesion, left_input=25193, right_input=10464, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-50225","layer":2},{"info":"compute binary expreesion, left_input=-14917, right_input=-50225, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=100450","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=100450, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⫓⪴⊺⇮8109)≎⊠⪸⊺⇮2519≁⊺⇮4098)≨(⊺⇮1532⫲≸⪮⊺⇮1193)≁↽≥(⊺⇮6876≝⊿⊺⇮1565))⫣⪄⊒((⊺⇮2423⪥⊺⇮1459⋅⇍(⊺⇮2502⊍⩺⋍⊺⇮3022))∇⊂⋱(⊺⇮1601⊬⨰⊺⇮6162)⩣⫁∢(⊺⇮4129⊾⪯⋞⊺⇮5445))=NaN","reverse_text":"NaN=(((⫓⪴⊺⇮8109)≎⊠⪸⊺⇮2519≁⊺⇮4098)≨(⊺⇮1532⫲≸⪮⊺⇮1193)≁↽≥(⊺⇮6876≝⊿⊺⇮1565))⫣⪄⊒((⊺⇮2423⪥⊺⇮1459⋅⇍(⊺⇮2502⊍⩺⋍⊺⇮3022))∇⊂⋱(⊺⇮1601⊬⨰⊺⇮6162)⩣⫁∢(⊺⇮4129⊾⪯⋞⊺⇮5445))","cot":[{"info":"⫓⪴⊺⇮8109=⊺⇮65755881","layer":3},{"info":"⊺⇮2519≁⊺⇮4098=⊺⇮85151","layer":3},{"info":"⊺⇮65755881≎⊠⪸⊺⇮85151=Inf","layer":2},{"info":"⊺⇮1532⫲≸⪮⊺⇮1193=⊺⇮1532","layer":3},{"info":"⊺⇮6876≝⊿⊺⇮1565=⊺⇮-10539","layer":3},{"info":"⊺⇮1532≁↽≥⊺⇮-10539=⊺⇮196","layer":2},{"info":"Inf≨⊺⇮196=NaN","layer":1},{"info":"⊺⇮2423⪥⊺⇮1459=⊺⇮14344","layer":3},{"info":"⊺⇮2502⊍⩺⋍⊺⇮3022=NaN","layer":3},{"info":"⊺⇮14344⋅⇍NaN=⊺⇮-14917","layer":2},{"info":"⊺⇮1601⊬⨰⊺⇮6162=⊺⇮25193","layer":3},{"info":"⊺⇮4129⊾⪯⋞⊺⇮5445=⊺⇮10464","layer":3},{"info":"⊺⇮25193⩣⫁∢⊺⇮10464=⊺⇮-50225","layer":2},{"info":"⊺⇮-14917∇⊂⋱⊺⇮-50225=⊺⇮100450","layer":1},{"info":"NaN⫣⪄⊒⊺⇮100450=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"($2122$⪢$4570$∠↢(⪨⨬$3422$)⊉≛↸$3685$↢$1675$⋭≵(⇖$2088$))≳⇉(⊀(⋼∭⪍$3971$)↳≱$4117$⇡⇂$2830$)","expression":"(⊺⇮2122⪢⊺⇮4570∠↢(⪨⨬⊺⇮3422)⊉≛↸⊺⇮3685↢⊺⇮1675⋭≵(⇖⊺⇮2088))≳⇉(⊀(⋼∭⪍⊺⇮3971)↳≱⊺⇮4117⇡⇂⊺⇮2830)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19255,"operation_count":12,"complexity_ratio":1604.5833333333333,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2122,"base":10},"right_expr":{"type":"numeric_atoms","value":4570,"base":10}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":3422,"base":10}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3685,"base":10},"right_expr":{"type":"numeric_atoms","value":1675,"base":10}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2088,"base":10}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3971,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4117,"base":10},"right_expr":{"type":"numeric_atoms","value":2830,"base":10}}}}},"used_operators":["V0kx6qeWkN","DZ8iAZOCBD","KbjG8mgYpV","dWAJyo7jo9","5obUd6DV38","jBncVCNhdl","WR6HLWljOP","tfWHHpNKUN","oPMjh9089D","JwTKLfZU96","DbCuESL50I","UMwdvZNt44"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","k8jYdgA6NY","T2fj7uvVaJ","nlCqmYiOvY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","2DQ55sFlQl","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2122","layer":4},{"info":"number node, value=4570","layer":4},{"info":"compute binary expreesion, left_input=2122, right_input=4570, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3422","layer":4},{"info":"compute unary expreesion, input=3422, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-526, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=3685","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=3685, right_input=1675, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3201","layer":3},{"info":"number node, value=2088","layer":4},{"info":"compute unary expreesion, input=2088, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=3201, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=3971","layer":4},{"info":"compute unary expreesion, input=3971, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-14144","layer":3},{"info":"number node, value=4117","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=4117, right_input=2830, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-14144, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=-262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-262, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2122⪢⊺⇮4570∠↢(⪨⨬⊺⇮3422)⊉≛↸⊺⇮3685↢⊺⇮1675⋭≵(⇖⊺⇮2088))≳⇉(⊀(⋼∭⪍⊺⇮3971)↳≱⊺⇮4117⇡⇂⊺⇮2830)=NaN","reverse_text":"NaN=(⊺⇮2122⪢⊺⇮4570∠↢(⪨⨬⊺⇮3422)⊉≛↸⊺⇮3685↢⊺⇮1675⋭≵(⇖⊺⇮2088))≳⇉(⊀(⋼∭⪍⊺⇮3971)↳≱⊺⇮4117⇡⇂⊺⇮2830)","cot":[{"info":"⊺⇮2122⪢⊺⇮4570=NaN","layer":3},{"info":"⪨⨬⊺⇮3422=⊺⇮-526","layer":3},{"info":"NaN∠↢⊺⇮-526=NaN","layer":2},{"info":"⊺⇮3685↢⊺⇮1675=⊺⇮3201","layer":3},{"info":"⇖⊺⇮2088=⊺⇮160","layer":3},{"info":"⊺⇮3201⋭≵⊺⇮160=⊺⇮67","layer":2},{"info":"NaN⊉≛↸⊺⇮67=NaN","layer":1},{"info":"⋼∭⪍⊺⇮3971=⊺⇮-14144","layer":3},{"info":"⊺⇮4117⇡⇂⊺⇮2830=NaN","layer":3},{"info":"⊺⇮-14144↳≱NaN=⊺⇮0","layer":2},{"info":"⊀⊺⇮0=⊺⇮-262","layer":1},{"info":"NaN≳⇉⊺⇮-262=NaN","layer":0}]}
{"id":33,"expression_no_base_symbol":"($1895$⨒$2325$)→⨶⪴$1220$≹⇙⪍$1158$*($2195$⩌⋺$3040$↛⩡⫤)⪨≂(⇈($4813$⨚$1498$))⊉↱≁(↨($3694$↪⪝))","expression":"(⊺⇮1895⨒⊺⇮2325)→⨶⪴⊺⇮1220≹⇙⪍⊺⇮1158*(⊺⇮2195⩌⋺⊺⇮3040↛⩡⫤)⪨≂(⇈(⊺⇮4813⨚⊺⇮1498))⊉↱≁(↨(⊺⇮3694↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18138,"operation_count":12,"complexity_ratio":1511.5,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1895,"base":10},"right_expr":{"type":"numeric_atoms","value":2325,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1220,"base":10},"right_expr":{"type":"numeric_atoms","value":1158,"base":10}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2195,"base":10},"right_expr":{"type":"numeric_atoms","value":3040,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4813,"base":10},"right_expr":{"type":"numeric_atoms","value":1498,"base":10}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3694,"base":10}}}}},"used_operators":["sdazOOVcIp","9HNa5Wba9A","bF6eod5Gvf","y75s1iXyHd","AHs5Up7iyr","FU0Cs4j7VP","g7Hmc5v1ko","w2P8NbNXyL","SLLxy00UIr","nREPSIbpBE","jiX4gk2v2Q","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","9FxExcQeMw","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","dWAJyo7jo9","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","BjRHVeLaeN","12rbrZMWeM","rGHVDoGpnC","oZj3VtZNQx","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1895","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=2325, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-10998","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=1158, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10998, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"number node, value=2195","layer":4},{"info":"number node, value=3040","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=3040, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-5356","layer":3},{"info":"compute unary expreesion, input=-5356, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=2602","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2602, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4813","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=4813, right_input=1498, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=4568","layer":3},{"info":"compute unary expreesion, input=4568, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=3694","layer":4},{"info":"compute unary expreesion, input=3694, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=226006308","layer":3},{"info":"compute unary expreesion, input=226006308, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1895⨒⊺⇮2325)→⨶⪴⊺⇮1220≹⇙⪍⊺⇮1158*(⊺⇮2195⩌⋺⊺⇮3040↛⩡⫤)⪨≂(⇈(⊺⇮4813⨚⊺⇮1498))⊉↱≁(↨(⊺⇮3694↪⪝))=NaN","reverse_text":"NaN=(⊺⇮1895⨒⊺⇮2325)→⨶⪴⊺⇮1220≹⇙⪍⊺⇮1158*(⊺⇮2195⩌⋺⊺⇮3040↛⩡⫤)⪨≂(⇈(⊺⇮4813⨚⊺⇮1498))⊉↱≁(↨(⊺⇮3694↪⪝))","cot":[{"info":"⊺⇮1895⨒⊺⇮2325=⊺⇮-10998","layer":3},{"info":"⊺⇮1220≹⇙⪍⊺⇮1158=NaN","layer":3},{"info":"⊺⇮-10998→⨶⪴NaN=NaN","layer":2},{"info":"⊺⇮2195⩌⋺⊺⇮3040=⊺⇮-5356","layer":3},{"info":"⊺⇮-5356↛⩡⫤=⊺⇮2602","layer":2},{"info":"NaN*⊺⇮2602=NaN","layer":1},{"info":"⊺⇮4813⨚⊺⇮1498=⊺⇮4568","layer":3},{"info":"⇈⊺⇮4568=⊺⇮-447","layer":2},{"info":"⊺⇮3694↪⪝=⊺⇮226006308","layer":3},{"info":"↨⊺⇮226006308=NaN","layer":2},{"info":"⊺⇮-447⊉↱≁NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":34,"expression_no_base_symbol":"⪹(($6411$≥⨤⩑$6368$)≠≀($1151$⋭≵$3201$))∺≝⩲(($1493$⋆⋳)⇴∐($1048$∕⩚$1927$))","expression":"⪹((⊺⇮6411≥⨤⩑⊺⇮6368)≠≀(⊺⇮1151⋭≵⊺⇮3201))∺≝⩲((⊺⇮1493⋆⋳)⇴∐(⊺⇮1048∕⩚⊺⇮1927))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1155,"operation_count":8,"complexity_ratio":144.375,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6411,"base":10},"right_expr":{"type":"numeric_atoms","value":6368,"base":10}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1151,"base":10},"right_expr":{"type":"numeric_atoms","value":3201,"base":10}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1493,"base":10}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1048,"base":10},"right_expr":{"type":"numeric_atoms","value":1927,"base":10}}}}},"used_operators":["USyYr0JgAa","KPf6cnQVty","IwW236VD4Y","gJLn6v0xnP","jBncVCNhdl","HnzytWxmAO","6MpZysEj17","z9ffQ9n5Zr"],"dependent_operators":["tifHPKVTfV","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⊺⇮20","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6411","layer":4},{"info":"number node, value=6368","layer":4},{"info":"compute binary expreesion, left_input=6411, right_input=6368, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1151","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=3201, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5871","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=5871, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2162","layer":2},{"info":"number node, value=1493","layer":4},{"info":"compute unary expreesion, input=1493, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-3018","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1927, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1051","layer":3},{"info":"compute binary expreesion, left_input=-3018, right_input=-1051, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=-2162, right_input=-116, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=20","layer":0}],"base":10,"result_base":10,"text":"⪹((⊺⇮6411≥⨤⩑⊺⇮6368)≠≀(⊺⇮1151⋭≵⊺⇮3201))∺≝⩲((⊺⇮1493⋆⋳)⇴∐(⊺⇮1048∕⩚⊺⇮1927))=⊺⇮20","reverse_text":"⊺⇮20=⪹((⊺⇮6411≥⨤⩑⊺⇮6368)≠≀(⊺⇮1151⋭≵⊺⇮3201))∺≝⩲((⊺⇮1493⋆⋳)⇴∐(⊺⇮1048∕⩚⊺⇮1927))","cot":[{"info":"⊺⇮6411≥⨤⩑⊺⇮6368=⊺⇮1234","layer":3},{"info":"⊺⇮1151⋭≵⊺⇮3201=⊺⇮5871","layer":3},{"info":"⊺⇮1234≠≀⊺⇮5871=⊺⇮-2162","layer":2},{"info":"⊺⇮1493⋆⋳=⊺⇮-3018","layer":3},{"info":"⊺⇮1048∕⩚⊺⇮1927=⊺⇮-1051","layer":3},{"info":"⊺⇮-3018⇴∐⊺⇮-1051=⊺⇮-116","layer":2},{"info":"⊺⇮-2162∺≝⩲⊺⇮-116=⊺⇮160","layer":1},{"info":"⪹⊺⇮160=⊺⇮20","layer":0}]}
{"id":35,"expression_no_base_symbol":"(($4258$⇤$6919$)⪬($3496$≴⪞⇿$1435$)*($3353$⩹$6605$)⩇∃⫛($4592$≧⫂∧$1935$))⩘","expression":"((⊺⇮4258⇤⊺⇮6919)⪬(⊺⇮3496≴⪞⇿⊺⇮1435)*(⊺⇮3353⩹⊺⇮6605)⩇∃⫛(⊺⇮4592≧⫂∧⊺⇮1935))⩘","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5146,"operation_count":8,"complexity_ratio":643.25,"tree":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4258,"base":10},"right_expr":{"type":"numeric_atoms","value":6919,"base":10}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3496,"base":10},"right_expr":{"type":"numeric_atoms","value":1435,"base":10}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3353,"base":10},"right_expr":{"type":"numeric_atoms","value":6605,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4592,"base":10},"right_expr":{"type":"numeric_atoms","value":1935,"base":10}}}}},"used_operators":["wvHyciQT5X","9HNa5Wba9A","Ez1Nq5fNfI","YSKBFp38Pu","lvlrscuwVU","1aApVXNlOP","2Wsdkap16l","Ph9nP6C5qx"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","W4YGzv6Whe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4258","layer":4},{"info":"number node, value=6919","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=6919, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-53037","layer":3},{"info":"number node, value=3496","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=3496, right_input=1435, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=20775692","layer":3},{"info":"compute binary expreesion, left_input=-53037, right_input=20775692, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=3353","layer":4},{"info":"number node, value=6605","layer":4},{"info":"compute binary expreesion, left_input=3353, right_input=6605, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=6603","layer":3},{"info":"number node, value=4592","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=4592, right_input=1935, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1462","layer":3},{"info":"compute binary expreesion, left_input=6603, right_input=1462, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-4668","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-4668, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-5760312","layer":1},{"info":"compute unary expreesion, input=-5760312, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4258⇤⊺⇮6919)⪬(⊺⇮3496≴⪞⇿⊺⇮1435)*(⊺⇮3353⩹⊺⇮6605)⩇∃⫛(⊺⇮4592≧⫂∧⊺⇮1935))⩘=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮4258⇤⊺⇮6919)⪬(⊺⇮3496≴⪞⇿⊺⇮1435)*(⊺⇮3353⩹⊺⇮6605)⩇∃⫛(⊺⇮4592≧⫂∧⊺⇮1935))⩘","cot":[{"info":"⊺⇮4258⇤⊺⇮6919=⊺⇮-53037","layer":3},{"info":"⊺⇮3496≴⪞⇿⊺⇮1435=⊺⇮20775692","layer":3},{"info":"⊺⇮-53037⪬⊺⇮20775692=⊺⇮1234","layer":2},{"info":"⊺⇮3353⩹⊺⇮6605=⊺⇮6603","layer":3},{"info":"⊺⇮4592≧⫂∧⊺⇮1935=⊺⇮1462","layer":3},{"info":"⊺⇮6603⩇∃⫛⊺⇮1462=⊺⇮-4668","layer":2},{"info":"⊺⇮1234*⊺⇮-4668=⊺⇮-5760312","layer":1},{"info":"⊺⇮-5760312⩘=⊺⇮67","layer":0}]}
{"id":36,"expression_no_base_symbol":"((⇙⪊$1995$)⨫⇇↔($4879$/$1082$))⋕⪉⪜(⨑⩽⪐(⊆⋠$2740$))∀⇚≩((⩪∧⨌$2367$)⩦(⋎⨆$1342$)⋓(($3560$⋷$2609$)⋓$1829$→⨶⪴$1023$))","expression":"((⇙⪊⊺⇮1995)⨫⇇↔(⊺⇮4879/⊺⇮1082))⋕⪉⪜(⨑⩽⪐(⊆⋠⊺⇮2740))∀⇚≩((⩪∧⨌⊺⇮2367)⩦(⋎⨆⊺⇮1342)⋓((⊺⇮3560⋷⊺⇮2609)⋓⊺⇮1829→⨶⪴⊺⇮1023))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1596,"operation_count":14,"complexity_ratio":114.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1995,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4879,"base":10},"right_expr":{"type":"numeric_atoms","value":1082,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2740,"base":10}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2367,"base":10}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1342,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3560,"base":10},"right_expr":{"type":"numeric_atoms","value":2609,"base":10}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1829,"base":10},"right_expr":{"type":"numeric_atoms","value":1023,"base":10}}}}},"used_operators":["LRNGc0VcxI","z6LnFrNh4i","LXhwmt4mBO","pB6Fcnrjim","XhwjNDsVaA","AF7qkfDlqP","EBhcHTkKd8","T2fj7uvVaJ","0kmYd0q39Y","6iOiAJX1F8","E64sFOc4tB","23Mk6UjR3U","bF6eod5Gvf"],"dependent_operators":["X99M06cbEe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1995","layer":4},{"info":"compute unary expreesion, input=1995, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=4879","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=4879, right_input=1082, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=2740","layer":4},{"info":"compute unary expreesion, input=2740, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=789, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=23670","layer":3},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=23670, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=47340","layer":2},{"info":"number node, value=3560","layer":4},{"info":"number node, value=2609","layer":4},{"info":"compute binary expreesion, left_input=3560, right_input=2609, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1658","layer":3},{"info":"number node, value=1829","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=1023, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3069","layer":3},{"info":"compute binary expreesion, left_input=1658, right_input=-3069, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=47340, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⇙⪊⊺⇮1995)⨫⇇↔(⊺⇮4879/⊺⇮1082))⋕⪉⪜(⨑⩽⪐(⊆⋠⊺⇮2740))∀⇚≩((⩪∧⨌⊺⇮2367)⩦(⋎⨆⊺⇮1342)⋓((⊺⇮3560⋷⊺⇮2609)⋓⊺⇮1829→⨶⪴⊺⇮1023))=NaN","reverse_text":"NaN=((⇙⪊⊺⇮1995)⨫⇇↔(⊺⇮4879/⊺⇮1082))⋕⪉⪜(⨑⩽⪐(⊆⋠⊺⇮2740))∀⇚≩((⩪∧⨌⊺⇮2367)⩦(⋎⨆⊺⇮1342)⋓((⊺⇮3560⋷⊺⇮2609)⋓⊺⇮1829→⨶⪴⊺⇮1023))","cot":[{"info":"⇙⪊⊺⇮1995=⊺⇮0","layer":3},{"info":"⊺⇮4879/⊺⇮1082=⊺⇮4","layer":3},{"info":"⊺⇮0⨫⇇↔⊺⇮4=⊺⇮-527","layer":2},{"info":"⊆⋠⊺⇮2740=⊺⇮0","layer":3},{"info":"⨑⩽⪐⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮-527⋕⪉⪜⊺⇮789=⊺⇮204","layer":1},{"info":"⩪∧⨌⊺⇮2367=⊺⇮23670","layer":3},{"info":"⋎⨆⊺⇮1342=⊺⇮0","layer":3},{"info":"⊺⇮23670⩦⊺⇮0=⊺⇮47340","layer":2},{"info":"⊺⇮3560⋷⊺⇮2609=⊺⇮1658","layer":3},{"info":"⊺⇮1829→⨶⪴⊺⇮1023=⊺⇮-3069","layer":3},{"info":"⊺⇮1658⋓⊺⇮-3069=⊺⇮0","layer":2},{"info":"⊺⇮47340⋓⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮204∀⇚≩⊺⇮0=NaN","layer":0}]}
{"id":37,"expression_no_base_symbol":"⊄⩳↩(($5226$↳∿⪆$1814$)⨂≜($2874$∪⫐$1077$)∙∹∝($2726$≹⇙⪍$6227$)⩼⇪↪($2682$⊚⫡⫭))","expression":"⊄⩳↩((⊺⇮5226↳∿⪆⊺⇮1814)⨂≜(⊺⇮2874∪⫐⊺⇮1077)∙∹∝(⊺⇮2726≹⇙⪍⊺⇮6227)⩼⇪↪(⊺⇮2682⊚⫡⫭))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2477,"operation_count":8,"complexity_ratio":309.625,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5226,"base":10},"right_expr":{"type":"numeric_atoms","value":1814,"base":10}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2874,"base":10},"right_expr":{"type":"numeric_atoms","value":1077,"base":10}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2726,"base":10},"right_expr":{"type":"numeric_atoms","value":6227,"base":10}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":2682,"base":10}}}}},"used_operators":["8w2t5hMYqp","HmxsFra2vL","k1SHOSEABc","Cw4SuJJGHO","7YooWSwCyH","ocnLzx9CaJ","AHs5Up7iyr","SpZWOsLKZJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5226","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=5226, right_input=1814, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2874","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=2874, right_input=1077, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2874","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2874, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2726","layer":4},{"info":"number node, value=6227","layer":4},{"info":"compute binary expreesion, left_input=2726, right_input=6227, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2682","layer":4},{"info":"compute unary expreesion, input=2682, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-4438","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4438, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊄⩳↩((⊺⇮5226↳∿⪆⊺⇮1814)⨂≜(⊺⇮2874∪⫐⊺⇮1077)∙∹∝(⊺⇮2726≹⇙⪍⊺⇮6227)⩼⇪↪(⊺⇮2682⊚⫡⫭))=NaN","reverse_text":"NaN=⊄⩳↩((⊺⇮5226↳∿⪆⊺⇮1814)⨂≜(⊺⇮2874∪⫐⊺⇮1077)∙∹∝(⊺⇮2726≹⇙⪍⊺⇮6227)⩼⇪↪(⊺⇮2682⊚⫡⫭))","cot":[{"info":"⊺⇮5226↳∿⪆⊺⇮1814=NaN","layer":3},{"info":"⊺⇮2874∪⫐⊺⇮1077=⊺⇮2874","layer":3},{"info":"NaN⨂≜⊺⇮2874=NaN","layer":2},{"info":"⊺⇮2726≹⇙⪍⊺⇮6227=NaN","layer":3},{"info":"⊺⇮2682⊚⫡⫭=⊺⇮-4438","layer":3},{"info":"NaN⩼⇪↪⊺⇮-4438=NaN","layer":2},{"info":"NaN∙∹∝NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":38,"expression_no_base_symbol":"≀↧⇸(⩎⋉(($5154$∊∟⩊$3090$)⨽∌($5758$+⇶⊼$4165$)))","expression":"≀↧⇸(⩎⋉((⊺⇮5154∊∟⩊⊺⇮3090)⨽∌(⊺⇮5758+⇶⊼⊺⇮4165)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":113,"operation_count":5,"complexity_ratio":22.6,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":5154,"base":10},"right_expr":{"type":"numeric_atoms","value":3090,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5758,"base":10},"right_expr":{"type":"numeric_atoms","value":4165,"base":10}}}}},"used_operators":["ljTHtUsqzn","FlXk3pOYe8","9samAPKr6k","ddLRYrp01A","TpPTUOHfaN"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=5154","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=5154, right_input=3090, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3090","layer":3},{"info":"number node, value=5758","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=5758, right_input=4165, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3090, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≀↧⇸(⩎⋉((⊺⇮5154∊∟⩊⊺⇮3090)⨽∌(⊺⇮5758+⇶⊼⊺⇮4165)))=NaN","reverse_text":"NaN=≀↧⇸(⩎⋉((⊺⇮5154∊∟⩊⊺⇮3090)⨽∌(⊺⇮5758+⇶⊼⊺⇮4165)))","cot":[{"info":"⊺⇮5154∊∟⩊⊺⇮3090=⊺⇮3090","layer":3},{"info":"⊺⇮5758+⇶⊼⊺⇮4165=NaN","layer":3},{"info":"⊺⇮3090⨽∌NaN=NaN","layer":2},{"info":"⩎⋉NaN=NaN","layer":1},{"info":"≀↧⇸NaN=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"((↞≼$1232$≌$5865$)↱(→⩰$4230$⪛⫼$7185$))≄⊠(∷≠($2871$⩚⊴⇥$1443$))∼($5827$⫦⪉$3915$)⪥$1110$⪒⊣⊆$1282$","expression":"((↞≼⊺⇮1232≌⊺⇮5865)↱(→⩰⊺⇮4230⪛⫼⊺⇮7185))≄⊠(∷≠(⊺⇮2871⩚⊴⇥⊺⇮1443))∼(⊺⇮5827⫦⪉⊺⇮3915)⪥⊺⇮1110⪒⊣⊆⊺⇮1282","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7785,"operation_count":12,"complexity_ratio":648.75,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1232,"base":10},"right_expr":{"type":"numeric_atoms","value":5865,"base":10}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4230,"base":10},"right_expr":{"type":"numeric_atoms","value":7185,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2871,"base":10},"right_expr":{"type":"numeric_atoms","value":1443,"base":10}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5827,"base":10},"right_expr":{"type":"numeric_atoms","value":3915,"base":10}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1110,"base":10},"right_expr":{"type":"numeric_atoms","value":1282,"base":10}}}}},"used_operators":["vXNesLlMH1","SR5kFfdi6N","DE7zCoGJt9","lyWz822IDG","o8Pngz0Tml","hyuBjUqXlG","DyGG3AbaNP","QiR2Oyf5Xj","NTOWxs364D","QbnwKVWMIQ","wscyQdcy20","eRqsBgTDFp"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","sdazOOVcIp","W4YGzv6Whe"],"result":"⊺⇮1500","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":4},{"info":"number node, value=5865","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=5865, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"number node, value=4230","layer":4},{"info":"number node, value=7185","layer":4},{"info":"compute binary expreesion, left_input=4230, right_input=7185, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":1},{"info":"number node, value=2871","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=1443, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4435","layer":3},{"info":"compute unary expreesion, input=-4435, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-4435","layer":2},{"info":"number node, value=5827","layer":4},{"info":"number node, value=3915","layer":4},{"info":"compute binary expreesion, left_input=5827, right_input=3915, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6754","layer":3},{"info":"number node, value=1110","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=1282, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2220","layer":3},{"info":"compute binary expreesion, left_input=-6754, right_input=2220, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-47188","layer":2},{"info":"compute binary expreesion, left_input=-4435, right_input=-47188, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":10,"result_base":10,"text":"((↞≼⊺⇮1232≌⊺⇮5865)↱(→⩰⊺⇮4230⪛⫼⊺⇮7185))≄⊠(∷≠(⊺⇮2871⩚⊴⇥⊺⇮1443))∼(⊺⇮5827⫦⪉⊺⇮3915)⪥⊺⇮1110⪒⊣⊆⊺⇮1282=⊺⇮1500","reverse_text":"⊺⇮1500=((↞≼⊺⇮1232≌⊺⇮5865)↱(→⩰⊺⇮4230⪛⫼⊺⇮7185))≄⊠(∷≠(⊺⇮2871⩚⊴⇥⊺⇮1443))∼(⊺⇮5827⫦⪉⊺⇮3915)⪥⊺⇮1110⪒⊣⊆⊺⇮1282","cot":[{"info":"⊺⇮1232≌⊺⇮5865=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"⊺⇮4230⪛⫼⊺⇮7185=⊺⇮968","layer":3},{"info":"→⩰⊺⇮968=NaN","layer":2},{"info":"NaN↱NaN=NaN","layer":1},{"info":"⊺⇮2871⩚⊴⇥⊺⇮1443=⊺⇮-4435","layer":3},{"info":"∷≠⊺⇮-4435=⊺⇮-4435","layer":2},{"info":"⊺⇮5827⫦⪉⊺⇮3915=⊺⇮-6754","layer":3},{"info":"⊺⇮1110⪒⊣⊆⊺⇮1282=⊺⇮2220","layer":3},{"info":"⊺⇮-6754⪥⊺⇮2220=⊺⇮-47188","layer":2},{"info":"⊺⇮-4435∼⊺⇮-47188=NaN","layer":1},{"info":"NaN≄⊠NaN=⊺⇮1500","layer":0}]}
{"id":40,"expression_no_base_symbol":"((($4353$⫠↝⫳)∲⫓(⇾⩊⇾$1004$))⫻⋑⊟)⩍⋽⫝̸(↩($3290$⪁$2397$)⇍⊗$3064$⩼⇪↪$1803$)","expression":"(((⊺⇮4353⫠↝⫳)∲⫓(⇾⩊⇾⊺⇮1004))⫻⋑⊟)⩍⋽⫝̸(↩(⊺⇮3290⪁⊺⇮2397)⇍⊗⊺⇮3064⩼⇪↪⊺⇮1803)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":72478499,"operation_count":9,"complexity_ratio":8053166.555555556,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":4353,"base":10}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1004,"base":10}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3290,"base":10},"right_expr":{"type":"numeric_atoms","value":2397,"base":10}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3064,"base":10},"right_expr":{"type":"numeric_atoms","value":1803,"base":10}}}}},"used_operators":["BiWNJpBvwn","o575Zjdmzy","i8ToyICDmI","8n5YIzOsVS","bx9Z9DAK5y","jLgFTUHLKL","5uvYHDjeKN","I7sXao9hZE","ocnLzx9CaJ"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⊺⇮2650","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4353","layer":4},{"info":"compute unary expreesion, input=4353, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=139919","layer":3},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-15522","layer":3},{"info":"compute binary expreesion, left_input=139919, right_input=-15522, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=139919","layer":2},{"info":"compute unary expreesion, input=139919, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-279328","layer":1},{"info":"number node, value=3290","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=2397, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=3064","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=3064, right_input=1803, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-7276","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7276, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=3596","layer":1},{"info":"compute binary expreesion, left_input=-279328, right_input=3596, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2650","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮4353⫠↝⫳)∲⫓(⇾⩊⇾⊺⇮1004))⫻⋑⊟)⩍⋽⫝̸(↩(⊺⇮3290⪁⊺⇮2397)⇍⊗⊺⇮3064⩼⇪↪⊺⇮1803)=⊺⇮2650","reverse_text":"⊺⇮2650=(((⊺⇮4353⫠↝⫳)∲⫓(⇾⩊⇾⊺⇮1004))⫻⋑⊟)⩍⋽⫝̸(↩(⊺⇮3290⪁⊺⇮2397)⇍⊗⊺⇮3064⩼⇪↪⊺⇮1803)","cot":[{"info":"⊺⇮4353⫠↝⫳=⊺⇮139919","layer":3},{"info":"⇾⩊⇾⊺⇮1004=⊺⇮-15522","layer":3},{"info":"⊺⇮139919∲⫓⊺⇮-15522=⊺⇮139919","layer":2},{"info":"⊺⇮139919⫻⋑⊟=⊺⇮-279328","layer":1},{"info":"⊺⇮3290⪁⊺⇮2397=NaN","layer":3},{"info":"⊺⇮3064⩼⇪↪⊺⇮1803=⊺⇮-7276","layer":3},{"info":"NaN⇍⊗⊺⇮-7276=⊺⇮-244","layer":2},{"info":"↩⊺⇮-244=⊺⇮3596","layer":1},{"info":"⊺⇮-279328⩍⋽⫝̸⊺⇮3596=⊺⇮2650","layer":0}]}
{"id":41,"expression_no_base_symbol":"$2480$⊋$2743$⫰⋱($3775$⩺⋐⫨)⨎$2298$⫣⪄⊒$8025$≨($2279$⪁$3169$)↺((↨$1212$)∴($2472$↑)∲⫓($2195$⫳≱↱$2353$)⋣⋖$5912$≴⪞⇿$3161$)","expression":"⊺⇮2480⊋⊺⇮2743⫰⋱(⊺⇮3775⩺⋐⫨)⨎⊺⇮2298⫣⪄⊒⊺⇮8025≨(⊺⇮2279⪁⊺⇮3169)↺((↨⊺⇮1212)∴(⊺⇮2472↑)∲⫓(⊺⇮2195⫳≱↱⊺⇮2353)⋣⋖⊺⇮5912≴⪞⇿⊺⇮3161)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":163443253,"operation_count":15,"complexity_ratio":10896216.866666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2480,"base":10},"right_expr":{"type":"numeric_atoms","value":2743,"base":10}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":3775,"base":10}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2298,"base":10},"right_expr":{"type":"numeric_atoms","value":8025,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2279,"base":10},"right_expr":{"type":"numeric_atoms","value":3169,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1212,"base":10}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2472,"base":10}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2195,"base":10},"right_expr":{"type":"numeric_atoms","value":2353,"base":10}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5912,"base":10},"right_expr":{"type":"numeric_atoms","value":3161,"base":10}}}}},"used_operators":["7j4O788W3g","rJVOvQCfKK","6o9Blt3TJ6","W4tP9CfskL","yS9ePUuUdn","0KMCeP1Jsh","RabNbG55vr","I7sXao9hZE","i8ToyICDmI","hrf7POJlIJ","jiX4gk2v2Q","BThhyOhh10","J0M6qkBnIM","ZvLB05nZmT","lvlrscuwVU"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rGHVDoGpnC","oZj3VtZNQx","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=2743, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-4771200","layer":3},{"info":"number node, value=3775","layer":4},{"info":"compute unary expreesion, input=3775, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4771200, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=4771233","layer":2},{"info":"number node, value=2298","layer":4},{"info":"number node, value=8025","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=8025, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-44066","layer":3},{"info":"number node, value=2279","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=3169, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-44066, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=88788","layer":2},{"info":"compute binary expreesion, left_input=4771233, right_input=88788, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=88788","layer":1},{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=2472","layer":4},{"info":"compute unary expreesion, input=2472, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=222, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"number node, value=2195","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=2353, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=5912","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=5912, right_input=3161, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=63596876","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=63596876, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=88788, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊺⇮2480⊋⊺⇮2743⫰⋱(⊺⇮3775⩺⋐⫨)⨎⊺⇮2298⫣⪄⊒⊺⇮8025≨(⊺⇮2279⪁⊺⇮3169)↺((↨⊺⇮1212)∴(⊺⇮2472↑)∲⫓(⊺⇮2195⫳≱↱⊺⇮2353)⋣⋖⊺⇮5912≴⪞⇿⊺⇮3161)=NaN","reverse_text":"NaN=⊺⇮2480⊋⊺⇮2743⫰⋱(⊺⇮3775⩺⋐⫨)⨎⊺⇮2298⫣⪄⊒⊺⇮8025≨(⊺⇮2279⪁⊺⇮3169)↺((↨⊺⇮1212)∴(⊺⇮2472↑)∲⫓(⊺⇮2195⫳≱↱⊺⇮2353)⋣⋖⊺⇮5912≴⪞⇿⊺⇮3161)","cot":[{"info":"⊺⇮2480⊋⊺⇮2743=⊺⇮-4771200","layer":3},{"info":"⊺⇮3775⩺⋐⫨=⊺⇮0","layer":3},{"info":"⊺⇮-4771200⫰⋱⊺⇮0=⊺⇮4771233","layer":2},{"info":"⊺⇮2298⫣⪄⊒⊺⇮8025=⊺⇮-44066","layer":3},{"info":"⊺⇮2279⪁⊺⇮3169=NaN","layer":3},{"info":"⊺⇮-44066≨NaN=⊺⇮88788","layer":2},{"info":"⊺⇮4771233⨎⊺⇮88788=⊺⇮88788","layer":1},{"info":"↨⊺⇮1212=NaN","layer":3},{"info":"⊺⇮2472↑=⊺⇮222","layer":3},{"info":"NaN∴⊺⇮222=NaN","layer":2},{"info":"⊺⇮2195⫳≱↱⊺⇮2353=⊺⇮-204","layer":3},{"info":"⊺⇮5912≴⪞⇿⊺⇮3161=⊺⇮63596876","layer":3},{"info":"⊺⇮-204⋣⋖⊺⇮63596876=⊺⇮-204","layer":2},{"info":"NaN∲⫓⊺⇮-204=NaN","layer":1},{"info":"⊺⇮88788↺NaN=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"⊆⋠(($4566$⊬⨰$2324$≭($4495$⊭↱$3851$))⨹)","expression":"⊆⋠((⊺⇮4566⊬⨰⊺⇮2324≭(⊺⇮4495⊭↱⊺⇮3851))⨹)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3262,"operation_count":5,"complexity_ratio":652.4,"tree":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4566,"base":10},"right_expr":{"type":"numeric_atoms","value":2324,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4495,"base":10},"right_expr":{"type":"numeric_atoms","value":3851,"base":10}}}}},"used_operators":["EBhcHTkKd8","UnCoSGIALn","rxpJgHHUmx","s3Fd5m9Dh2","COABgblf1C"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","mp7IySMOzn","AHs5Up7iyr","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4566","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=4566, right_input=2324, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12806","layer":3},{"info":"number node, value=4495","layer":4},{"info":"number node, value=3851","layer":4},{"info":"compute binary expreesion, left_input=4495, right_input=3851, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1283","layer":3},{"info":"compute binary expreesion, left_input=12806, right_input=-1283, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"⊆⋠((⊺⇮4566⊬⨰⊺⇮2324≭(⊺⇮4495⊭↱⊺⇮3851))⨹)=⊺⇮3979","reverse_text":"⊺⇮3979=⊆⋠((⊺⇮4566⊬⨰⊺⇮2324≭(⊺⇮4495⊭↱⊺⇮3851))⨹)","cot":[{"info":"⊺⇮4566⊬⨰⊺⇮2324=⊺⇮12806","layer":3},{"info":"⊺⇮4495⊭↱⊺⇮3851=⊺⇮-1283","layer":3},{"info":"⊺⇮12806≭⊺⇮-1283=NaN","layer":2},{"info":"NaN⨹=NaN","layer":1},{"info":"⊆⋠NaN=⊺⇮3979","layer":0}]}
{"id":43,"expression_no_base_symbol":"(($1848$⊋≦⊧$4874$)⨑⩅≇($1048$⋅⇍$3360$)⫚↹⊑((↩⪖$6409$)+$3789$⨼⩣$7478$))≎⊠⪸($4756$⪚$2389$⫦⪉($8601$⊉≛↸$6383$)∽($3400$⩚⊴⇥$3157$)≳⇉(≋$4056$))","expression":"((⊺⇮1848⊋≦⊧⊺⇮4874)⨑⩅≇(⊺⇮1048⋅⇍⊺⇮3360)⫚↹⊑((↩⪖⊺⇮6409)+⊺⇮3789⨼⩣⊺⇮7478))≎⊠⪸(⊺⇮4756⪚⊺⇮2389⫦⪉(⊺⇮8601⊉≛↸⊺⇮6383)∽(⊺⇮3400⩚⊴⇥⊺⇮3157)≳⇉(≋⊺⇮4056))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":193273204,"operation_count":15,"complexity_ratio":12884880.266666668,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1848,"base":10},"right_expr":{"type":"numeric_atoms","value":4874,"base":10}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1048,"base":10},"right_expr":{"type":"numeric_atoms","value":3360,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":6409,"base":10}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3789,"base":10},"right_expr":{"type":"numeric_atoms","value":7478,"base":10}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4756,"base":10},"right_expr":{"type":"numeric_atoms","value":2389,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8601,"base":10},"right_expr":{"type":"numeric_atoms","value":6383,"base":10}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3400,"base":10},"right_expr":{"type":"numeric_atoms","value":3157,"base":10}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":4056,"base":10}}}}},"used_operators":["bJkvcejdHO","dfKe02y8D2","h92wMvzauj","oRDoc9rAEX","AdZkA7nFnk","W4YGzv6Whe","fG6uBQFnGz","JxwMv5le6e","y4ImoPnbV5","wscyQdcy20","HrjLwUk87U","DZ8iAZOCBD","V0kx6qeWkN","NTOWxs364D","61wBmkZwlr"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","7j4O788W3g"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1848","layer":4},{"info":"number node, value=4874","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=4874, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-6482","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=3360","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=3360, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-6482, right_input=-22, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"number node, value=6409","layer":4},{"info":"compute unary expreesion, input=6409, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-41436","layer":3},{"info":"number node, value=3789","layer":4},{"info":"number node, value=7478","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=7478, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-41436, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=4756","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=4756, right_input=2389, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=4378","layer":3},{"info":"number node, value=8601","layer":4},{"info":"number node, value=6383","layer":4},{"info":"compute binary expreesion, left_input=8601, right_input=6383, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17202","layer":3},{"info":"compute binary expreesion, left_input=4378, right_input=17202, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3856","layer":2},{"info":"number node, value=3400","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=3400, right_input=3157, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6678","layer":3},{"info":"number node, value=4056","layer":4},{"info":"compute unary expreesion, input=4056, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=4056","layer":3},{"info":"compute binary expreesion, left_input=-6678, right_input=4056, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3856, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1848⊋≦⊧⊺⇮4874)⨑⩅≇(⊺⇮1048⋅⇍⊺⇮3360)⫚↹⊑((↩⪖⊺⇮6409)+⊺⇮3789⨼⩣⊺⇮7478))≎⊠⪸(⊺⇮4756⪚⊺⇮2389⫦⪉(⊺⇮8601⊉≛↸⊺⇮6383)∽(⊺⇮3400⩚⊴⇥⊺⇮3157)≳⇉(≋⊺⇮4056))=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮1848⊋≦⊧⊺⇮4874)⨑⩅≇(⊺⇮1048⋅⇍⊺⇮3360)⫚↹⊑((↩⪖⊺⇮6409)+⊺⇮3789⨼⩣⊺⇮7478))≎⊠⪸(⊺⇮4756⪚⊺⇮2389⫦⪉(⊺⇮8601⊉≛↸⊺⇮6383)∽(⊺⇮3400⩚⊴⇥⊺⇮3157)≳⇉(≋⊺⇮4056))","cot":[{"info":"⊺⇮1848⊋≦⊧⊺⇮4874=⊺⇮-6482","layer":3},{"info":"⊺⇮1048⋅⇍⊺⇮3360=⊺⇮-22","layer":3},{"info":"⊺⇮-6482⨑⩅≇⊺⇮-22=⊺⇮-55","layer":2},{"info":"↩⪖⊺⇮6409=⊺⇮-41436","layer":3},{"info":"⊺⇮3789⨼⩣⊺⇮7478=NaN","layer":3},{"info":"⊺⇮-41436+NaN=NaN","layer":2},{"info":"⊺⇮-55⫚↹⊑NaN=⊺⇮-447","layer":1},{"info":"⊺⇮4756⪚⊺⇮2389=⊺⇮4378","layer":3},{"info":"⊺⇮8601⊉≛↸⊺⇮6383=⊺⇮17202","layer":3},{"info":"⊺⇮4378⫦⪉⊺⇮17202=⊺⇮-3856","layer":2},{"info":"⊺⇮3400⩚⊴⇥⊺⇮3157=⊺⇮-6678","layer":3},{"info":"≋⊺⇮4056=⊺⇮4056","layer":3},{"info":"⊺⇮-6678≳⇉⊺⇮4056=NaN","layer":2},{"info":"⊺⇮-3856∽NaN=NaN","layer":1},{"info":"⊺⇮-447≎⊠⪸NaN=⊺⇮67","layer":0}]}
{"id":44,"expression_no_base_symbol":"(⇤←$2044$∓⋝$1021$⫲≸⪮($3804$≓∲$7118$))⋕⪉⪜((⫶⊄≣$1116$⨽∌$1357$)⪛(≸≮($3401$⫦⪉$2867$)))","expression":"(⇤←⊺⇮2044∓⋝⊺⇮1021⫲≸⪮(⊺⇮3804≓∲⊺⇮7118))⋕⪉⪜((⫶⊄≣⊺⇮1116⨽∌⊺⇮1357)⪛(≸≮(⊺⇮3401⫦⪉⊺⇮2867)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":359,"operation_count":10,"complexity_ratio":35.9,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2044,"base":10},"right_expr":{"type":"numeric_atoms","value":1021,"base":10}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3804,"base":10},"right_expr":{"type":"numeric_atoms","value":7118,"base":10}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1116,"base":10},"right_expr":{"type":"numeric_atoms","value":1357,"base":10}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3401,"base":10},"right_expr":{"type":"numeric_atoms","value":2867,"base":10}}}}},"used_operators":["z6LnFrNh4i","jfAgQ2OQeM","P3lXMJvFrc","PoHhknlbAi","s1XTVnmDOJ","uFcxV4UQCh","wxb3vTeyAj","9samAPKr6k","AljMvE3RRm","wscyQdcy20"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⊺⇮204","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2044","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=1021, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3804","layer":4},{"info":"number node, value=7118","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=7118, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=38823","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=38823, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1031","layer":1},{"info":"number node, value=1116","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=1357, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=-1778","layer":2},{"info":"number node, value=3401","layer":4},{"info":"number node, value=2867","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=2867, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1902","layer":3},{"info":"compute unary expreesion, input=-1902, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=29313","layer":2},{"info":"compute binary expreesion, left_input=-1778, right_input=29313, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=27535","layer":1},{"info":"compute binary expreesion, left_input=1031, right_input=27535, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":10,"result_base":10,"text":"(⇤←⊺⇮2044∓⋝⊺⇮1021⫲≸⪮(⊺⇮3804≓∲⊺⇮7118))⋕⪉⪜((⫶⊄≣⊺⇮1116⨽∌⊺⇮1357)⪛(≸≮(⊺⇮3401⫦⪉⊺⇮2867)))=⊺⇮204","reverse_text":"⊺⇮204=(⇤←⊺⇮2044∓⋝⊺⇮1021⫲≸⪮(⊺⇮3804≓∲⊺⇮7118))⋕⪉⪜((⫶⊄≣⊺⇮1116⨽∌⊺⇮1357)⪛(≸≮(⊺⇮3401⫦⪉⊺⇮2867)))","cot":[{"info":"⊺⇮2044∓⋝⊺⇮1021=⊺⇮67","layer":3},{"info":"⊺⇮3804≓∲⊺⇮7118=⊺⇮38823","layer":3},{"info":"⊺⇮67⫲≸⪮⊺⇮38823=⊺⇮67","layer":2},{"info":"⇤←⊺⇮67=⊺⇮1031","layer":1},{"info":"⊺⇮1116⨽∌⊺⇮1357=⊺⇮0","layer":3},{"info":"⫶⊄≣⊺⇮0=⊺⇮-1778","layer":2},{"info":"⊺⇮3401⫦⪉⊺⇮2867=⊺⇮-1902","layer":3},{"info":"≸≮⊺⇮-1902=⊺⇮29313","layer":2},{"info":"⊺⇮-1778⪛⊺⇮29313=⊺⇮27535","layer":1},{"info":"⊺⇮1031⋕⪉⪜⊺⇮27535=⊺⇮204","layer":0}]}
{"id":45,"expression_no_base_symbol":"($5774$⫢⨠$7973$⨎(⋗⩴⪓$3625$))∺≝⩲($5254$↬$2720$≥⨤⩑$5863$⪘⫢$4119$)⪁($3201$⩹$2946$)∴(⨵≀≌$2926$)⋅⇍(∓$2942$⊝⪿⪼$6676$)","expression":"(⊺⇮5774⫢⨠⊺⇮7973⨎(⋗⩴⪓⊺⇮3625))∺≝⩲(⊺⇮5254↬⊺⇮2720≥⨤⩑⊺⇮5863⪘⫢⊺⇮4119)⪁(⊺⇮3201⩹⊺⇮2946)∴(⨵≀≌⊺⇮2926)⋅⇍(∓⊺⇮2942⊝⪿⪼⊺⇮6676)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12139,"operation_count":14,"complexity_ratio":867.0714285714286,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5774,"base":10},"right_expr":{"type":"numeric_atoms","value":7973,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":3625,"base":10}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5254,"base":10},"right_expr":{"type":"numeric_atoms","value":2720,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5863,"base":10},"right_expr":{"type":"numeric_atoms","value":4119,"base":10}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3201,"base":10},"right_expr":{"type":"numeric_atoms","value":2946,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2926,"base":10}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2942,"base":10},"right_expr":{"type":"numeric_atoms","value":6676,"base":10}}}}},"used_operators":["I7sXao9hZE","KPf6cnQVty","rJVOvQCfKK","xlXykHWxX1","nOKPl9n5zu","gJLn6v0xnP","B5M0gjZbta","oacrs7FA3X","AdZkA7nFnk","hrf7POJlIJ","2Wsdkap16l","srAu1WTS94","OwUj7dcsQK","3Oe9XWJUTD"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5774","layer":4},{"info":"number node, value=7973","layer":4},{"info":"compute binary expreesion, left_input=5774, right_input=7973, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3625","layer":4},{"info":"compute unary expreesion, input=3625, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2712","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2712, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2712","layer":2},{"info":"number node, value=5254","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=5254, right_input=2720, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5863","layer":4},{"info":"number node, value=4119","layer":4},{"info":"compute binary expreesion, left_input=5863, right_input=4119, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11602","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11602, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-2712, right_input=1234, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=3201","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=2946, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2944","layer":3},{"info":"number node, value=2926","layer":4},{"info":"compute unary expreesion, input=2926, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8778","layer":3},{"info":"compute binary expreesion, left_input=2944, right_input=-8778, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7536","layer":2},{"info":"number node, value=2942","layer":4},{"info":"number node, value=6676","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=6676, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=54062","layer":3},{"info":"compute unary expreesion, input=54062, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-815802","layer":2},{"info":"compute binary expreesion, left_input=7536, right_input=-815802, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-8109","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-8109, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5774⫢⨠⊺⇮7973⨎(⋗⩴⪓⊺⇮3625))∺≝⩲(⊺⇮5254↬⊺⇮2720≥⨤⩑⊺⇮5863⪘⫢⊺⇮4119)⪁(⊺⇮3201⩹⊺⇮2946)∴(⨵≀≌⊺⇮2926)⋅⇍(∓⊺⇮2942⊝⪿⪼⊺⇮6676)=NaN","reverse_text":"NaN=(⊺⇮5774⫢⨠⊺⇮7973⨎(⋗⩴⪓⊺⇮3625))∺≝⩲(⊺⇮5254↬⊺⇮2720≥⨤⩑⊺⇮5863⪘⫢⊺⇮4119)⪁(⊺⇮3201⩹⊺⇮2946)∴(⨵≀≌⊺⇮2926)⋅⇍(∓⊺⇮2942⊝⪿⪼⊺⇮6676)","cot":[{"info":"⊺⇮5774⫢⨠⊺⇮7973=⊺⇮160","layer":3},{"info":"⋗⩴⪓⊺⇮3625=⊺⇮-2712","layer":3},{"info":"⊺⇮160⨎⊺⇮-2712=⊺⇮-2712","layer":2},{"info":"⊺⇮5254↬⊺⇮2720=NaN","layer":3},{"info":"⊺⇮5863⪘⫢⊺⇮4119=⊺⇮11602","layer":3},{"info":"NaN≥⨤⩑⊺⇮11602=⊺⇮1234","layer":2},{"info":"⊺⇮-2712∺≝⩲⊺⇮1234=⊺⇮160","layer":1},{"info":"⊺⇮3201⩹⊺⇮2946=⊺⇮2944","layer":3},{"info":"⨵≀≌⊺⇮2926=⊺⇮-8778","layer":3},{"info":"⊺⇮2944∴⊺⇮-8778=⊺⇮7536","layer":2},{"info":"⊺⇮2942⊝⪿⪼⊺⇮6676=⊺⇮54062","layer":3},{"info":"∓⊺⇮54062=⊺⇮-815802","layer":2},{"info":"⊺⇮7536⋅⇍⊺⇮-815802=⊺⇮-8109","layer":1},{"info":"⊺⇮160⪁⊺⇮-8109=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"(($2343$⊍⩺⋍$3106$)⪭≯($4303$⫳≱↱$3203$))⪝($1001$↸$3987$-$6325$⨭⪣$4132$)⩹(($5047$⨀⨒)≋⫹)∣($4428$≌$7911$∌↝$5906$⊋$7240$)","expression":"((⊺⇮2343⊍⩺⋍⊺⇮3106)⪭≯(⊺⇮4303⫳≱↱⊺⇮3203))⪝(⊺⇮1001↸⊺⇮3987-⊺⇮6325⨭⪣⊺⇮4132)⩹((⊺⇮5047⨀⨒)≋⫹)∣(⊺⇮4428≌⊺⇮7911∌↝⊺⇮5906⊋⊺⇮7240)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12874,"operation_count":14,"complexity_ratio":919.5714285714286,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2343,"base":10},"right_expr":{"type":"numeric_atoms","value":3106,"base":10}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4303,"base":10},"right_expr":{"type":"numeric_atoms","value":3203,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":3987,"base":10}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":6325,"base":10},"right_expr":{"type":"numeric_atoms","value":4132,"base":10}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":5047,"base":10}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4428,"base":10},"right_expr":{"type":"numeric_atoms","value":7911,"base":10}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5906,"base":10},"right_expr":{"type":"numeric_atoms","value":7240,"base":10}}}}},"used_operators":["2Wsdkap16l","wicAB68Tmb","XAx5wpdLa6","OXDGMFPWZM","ZvLB05nZmT","rysDP5nf3Z","1eCjFl0mb9","kn8WO9XteQ","PPChnnnBFF","N41Kp7NANJ","j6NVkjMzuk","9Isq31Ruls","lyWz822IDG","W4tP9CfskL"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⊺⇮-134782","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2343","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=3106, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=4303","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=4303, right_input=3203, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3987, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1001","layer":3},{"info":"number node, value=6325","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=6325, right_input=4132, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5046","layer":3},{"info":"compute binary expreesion, left_input=1001, right_input=5046, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4045","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4045, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"number node, value=5047","layer":4},{"info":"compute unary expreesion, input=5047, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=67390","layer":3},{"info":"compute unary expreesion, input=67390, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-134780","layer":2},{"info":"number node, value=4428","layer":4},{"info":"number node, value=7911","layer":4},{"info":"compute binary expreesion, left_input=4428, right_input=7911, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=5906","layer":4},{"info":"number node, value=7240","layer":4},{"info":"compute binary expreesion, left_input=5906, right_input=7240, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-74172420","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-74172420, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134780, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-134780","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134780, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-134782","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2343⊍⩺⋍⊺⇮3106)⪭≯(⊺⇮4303⫳≱↱⊺⇮3203))⪝(⊺⇮1001↸⊺⇮3987-⊺⇮6325⨭⪣⊺⇮4132)⩹((⊺⇮5047⨀⨒)≋⫹)∣(⊺⇮4428≌⊺⇮7911∌↝⊺⇮5906⊋⊺⇮7240)=⊺⇮-134782","reverse_text":"⊺⇮-134782=((⊺⇮2343⊍⩺⋍⊺⇮3106)⪭≯(⊺⇮4303⫳≱↱⊺⇮3203))⪝(⊺⇮1001↸⊺⇮3987-⊺⇮6325⨭⪣⊺⇮4132)⩹((⊺⇮5047⨀⨒)≋⫹)∣(⊺⇮4428≌⊺⇮7911∌↝⊺⇮5906⊋⊺⇮7240)","cot":[{"info":"⊺⇮2343⊍⩺⋍⊺⇮3106=NaN","layer":3},{"info":"⊺⇮4303⫳≱↱⊺⇮3203=⊺⇮-204","layer":3},{"info":"NaN⪭≯⊺⇮-204=NaN","layer":2},{"info":"⊺⇮1001↸⊺⇮3987=⊺⇮1001","layer":3},{"info":"⊺⇮6325⨭⪣⊺⇮4132=⊺⇮5046","layer":3},{"info":"⊺⇮1001-⊺⇮5046=⊺⇮-4045","layer":2},{"info":"NaN⪝⊺⇮-4045=NaN","layer":1},{"info":"⊺⇮5047⨀⨒=⊺⇮67390","layer":3},{"info":"⊺⇮67390≋⫹=⊺⇮-134780","layer":2},{"info":"⊺⇮4428≌⊺⇮7911=NaN","layer":3},{"info":"⊺⇮5906⊋⊺⇮7240=⊺⇮-74172420","layer":3},{"info":"NaN∌↝⊺⇮-74172420=NaN","layer":2},{"info":"⊺⇮-134780∣NaN=⊺⇮-134780","layer":1},{"info":"NaN⩹⊺⇮-134780=⊺⇮-134782","layer":0}]}
{"id":47,"expression_no_base_symbol":"(≀↧⇸($3419$⪮%⊝$1126$⫸⇳$3138$∓⋝$6299$))≹⇙⪍(($3514$≀⫉$2550$)⩦(⩩$2589$)⇉⇉)","expression":"(≀↧⇸(⊺⇮3419⪮%⊝⊺⇮1126⫸⇳⊺⇮3138∓⋝⊺⇮6299))≹⇙⪍((⊺⇮3514≀⫉⊺⇮2550)⩦(⩩⊺⇮2589)⇉⇉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3823,"operation_count":9,"complexity_ratio":424.77777777777777,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3419,"base":10},"right_expr":{"type":"numeric_atoms","value":1126,"base":10}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3138,"base":10},"right_expr":{"type":"numeric_atoms","value":6299,"base":10}}}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3514,"base":10},"right_expr":{"type":"numeric_atoms","value":2550,"base":10}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2589,"base":10}}}}},"used_operators":["AHs5Up7iyr","ljTHtUsqzn","gx7XJ7hdpj","IWmyXbctLI","PoHhknlbAi","diKm42VcIt","0kmYd0q39Y","oZj3VtZNQx","kMhfGuqI2H"],"dependent_operators":["dWAJyo7jo9","XPYlsWDdGa","23Mk6UjR3U","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3419","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=3419, right_input=1126, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7154","layer":3},{"info":"number node, value=3138","layer":4},{"info":"number node, value=6299","layer":4},{"info":"compute binary expreesion, left_input=3138, right_input=6299, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=7154, right_input=67, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=0","layer":1},{"info":"number node, value=3514","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=3514, right_input=2550, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2589","layer":4},{"info":"compute unary expreesion, input=2589, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5644","layer":2},{"info":"compute unary expreesion, input=5644, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-369048","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-369048, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≀↧⇸(⊺⇮3419⪮%⊝⊺⇮1126⫸⇳⊺⇮3138∓⋝⊺⇮6299))≹⇙⪍((⊺⇮3514≀⫉⊺⇮2550)⩦(⩩⊺⇮2589)⇉⇉)=NaN","reverse_text":"NaN=(≀↧⇸(⊺⇮3419⪮%⊝⊺⇮1126⫸⇳⊺⇮3138∓⋝⊺⇮6299))≹⇙⪍((⊺⇮3514≀⫉⊺⇮2550)⩦(⩩⊺⇮2589)⇉⇉)","cot":[{"info":"⊺⇮3419⪮%⊝⊺⇮1126=⊺⇮7154","layer":3},{"info":"⊺⇮3138∓⋝⊺⇮6299=⊺⇮67","layer":3},{"info":"⊺⇮7154⫸⇳⊺⇮67=⊺⇮0","layer":2},{"info":"≀↧⇸⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮3514≀⫉⊺⇮2550=⊺⇮2822","layer":3},{"info":"⩩⊺⇮2589=NaN","layer":3},{"info":"⊺⇮2822⩦NaN=⊺⇮5644","layer":2},{"info":"⊺⇮5644⇉⇉=⊺⇮-369048","layer":1},{"info":"⊺⇮0≹⇙⪍⊺⇮-369048=NaN","layer":0}]}
{"id":48,"expression_no_base_symbol":"(∤($1419$⪘⫢$1051$)≁↽≥($2190$≎⊠⪸$1266$))⪇≇⋚(⨴⫝($7108$⫰⋱$1187$)≎⪠($7180$⩏))","expression":"(∤(⊺⇮1419⪘⫢⊺⇮1051)≁↽≥(⊺⇮2190≎⊠⪸⊺⇮1266))⪇≇⋚(⨴⫝(⊺⇮7108⫰⋱⊺⇮1187)≎⪠(⊺⇮7180⩏))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21799,"operation_count":9,"complexity_ratio":2422.1111111111113,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1419,"base":10},"right_expr":{"type":"numeric_atoms","value":1051,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2190,"base":10},"right_expr":{"type":"numeric_atoms","value":1266,"base":10}}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":7108,"base":10},"right_expr":{"type":"numeric_atoms","value":1187,"base":10}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":7180,"base":10}}}}},"used_operators":["3sJ7IOPOlU","k2HlF1dBQh","ncHt1X6cMc","oacrs7FA3X","bJkvcejdHO","SVb2v531z1","aNhz54LH3e","6o9Blt3TJ6","iA2gmKZ3Wj"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","oWn0xqSxBt","3Oe9XWJUTD","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","z6LnFrNh4i","Tcnh7f0tEr"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1419","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1051, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2714","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=1266, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=566737","layer":3},{"info":"compute binary expreesion, left_input=2714, right_input=566737, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=50642","layer":2},{"info":"compute unary expreesion, input=50642, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=7108","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=7108, right_input=1187, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-7075","layer":3},{"info":"number node, value=7180","layer":4},{"info":"compute unary expreesion, input=7180, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7075, right_input=0, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute unary expreesion, input=19558, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=2828198, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":10,"result_base":10,"text":"(∤(⊺⇮1419⪘⫢⊺⇮1051)≁↽≥(⊺⇮2190≎⊠⪸⊺⇮1266))⪇≇⋚(⨴⫝(⊺⇮7108⫰⋱⊺⇮1187)≎⪠(⊺⇮7180⩏))=⊺⇮0","reverse_text":"⊺⇮0=(∤(⊺⇮1419⪘⫢⊺⇮1051)≁↽≥(⊺⇮2190≎⊠⪸⊺⇮1266))⪇≇⋚(⨴⫝(⊺⇮7108⫰⋱⊺⇮1187)≎⪠(⊺⇮7180⩏))","cot":[{"info":"⊺⇮1419⪘⫢⊺⇮1051=⊺⇮2714","layer":3},{"info":"⊺⇮2190≎⊠⪸⊺⇮1266=⊺⇮566737","layer":3},{"info":"⊺⇮2714≁↽≥⊺⇮566737=⊺⇮50642","layer":2},{"info":"∤⊺⇮50642=⊺⇮9","layer":1},{"info":"⊺⇮7108⫰⋱⊺⇮1187=⊺⇮-7075","layer":3},{"info":"⊺⇮7180⩏=⊺⇮0","layer":3},{"info":"⊺⇮-7075≎⪠⊺⇮0=⊺⇮19558","layer":2},{"info":"⨴⫝⊺⇮19558=⊺⇮2828198","layer":1},{"info":"⊺⇮9⪇≇⋚⊺⇮2828198=⊺⇮0","layer":0}]}
{"id":49,"expression_no_base_symbol":"⨈⫕(↥≼⋛$1012$⨎$2086$)↺$1624$∓⋝$3949$⪪($2120$⫡⨏$1651$)","expression":"⨈⫕(↥≼⋛⊺⇮1012⨎⊺⇮2086)↺⊺⇮1624∓⋝⊺⇮3949⪪(⊺⇮2120⫡⨏⊺⇮1651)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":773,"operation_count":7,"complexity_ratio":110.42857142857143,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":2086,"base":10}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1624,"base":10},"right_expr":{"type":"numeric_atoms","value":3949,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2120,"base":10},"right_expr":{"type":"numeric_atoms","value":1651,"base":10}}}}},"used_operators":["megm06wKyl","7j4O788W3g","x5lMkHmzsq","rJVOvQCfKK","xD69zh8xqp","PoHhknlbAi","QMFrweE19q"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","FU0Cs4j7VP","JclMnS0uGI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2086, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2086","layer":3},{"info":"compute unary expreesion, input=2086, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=1624","layer":4},{"info":"number node, value=3949","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=3949, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2120","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=1651, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14685","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=14685, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=-6206, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6206","layer":1},{"info":"compute unary expreesion, input=-6206, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"⨈⫕(↥≼⋛⊺⇮1012⨎⊺⇮2086)↺⊺⇮1624∓⋝⊺⇮3949⪪(⊺⇮2120⫡⨏⊺⇮1651)=⊺⇮-21","reverse_text":"⊺⇮-21=⨈⫕(↥≼⋛⊺⇮1012⨎⊺⇮2086)↺⊺⇮1624∓⋝⊺⇮3949⪪(⊺⇮2120⫡⨏⊺⇮1651)","cot":[{"info":"⊺⇮1012⨎⊺⇮2086=⊺⇮2086","layer":3},{"info":"↥≼⋛⊺⇮2086=⊺⇮-113","layer":2},{"info":"⊺⇮1624∓⋝⊺⇮3949=⊺⇮67","layer":3},{"info":"⊺⇮2120⫡⨏⊺⇮1651=⊺⇮14685","layer":3},{"info":"⊺⇮67⪪⊺⇮14685=⊺⇮-6206","layer":2},{"info":"⊺⇮-113↺⊺⇮-6206=⊺⇮-6206","layer":1},{"info":"⨈⫕⊺⇮-6206=⊺⇮-21","layer":0}]}
{"id":50,"expression_no_base_symbol":"((∂⩏⊆$3711$)∌↝$7204$⩘$4459$)∣($3786$⇡⇂$6090$⪮%⊝$1036$⇍⊗$2686$)⩘(⊄⩳↩($4775$⪶≀⋏$7768$))⋕⪉⪜($4246$≧⫂∧$3828$⨳⩥⨓(↯⪼$3753$))","expression":"((∂⩏⊆⊺⇮3711)∌↝⊺⇮7204⩘⊺⇮4459)∣(⊺⇮3786⇡⇂⊺⇮6090⪮%⊝⊺⇮1036⇍⊗⊺⇮2686)⩘(⊄⩳↩(⊺⇮4775⪶≀⋏⊺⇮7768))⋕⪉⪜(⊺⇮4246≧⫂∧⊺⇮3828⨳⩥⨓(↯⪼⊺⇮3753))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":39713,"operation_count":14,"complexity_ratio":2836.6428571428573,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":3711,"base":10}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":7204,"base":10},"right_expr":{"type":"numeric_atoms","value":4459,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3786,"base":10},"right_expr":{"type":"numeric_atoms","value":6090,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1036,"base":10},"right_expr":{"type":"numeric_atoms","value":2686,"base":10}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4775,"base":10},"right_expr":{"type":"numeric_atoms","value":7768,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4246,"base":10},"right_expr":{"type":"numeric_atoms","value":3828,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3753,"base":10}}}}},"used_operators":["cHh1gJQ2o6","PPChnnnBFF","9Isq31Ruls","8WDwsbhb0R","IWmyXbctLI","UMwdvZNt44","5uvYHDjeKN","z6LnFrNh4i","8w2t5hMYqp","zR4jO40bMj","nCS4ZIUYfx","Ph9nP6C5qx","8jW3W4yZS5"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","14qkJME0vr","eLAdDNolq6","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3711","layer":4},{"info":"compute unary expreesion, input=3711, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-11212","layer":3},{"info":"number node, value=7204","layer":4},{"info":"number node, value=4459","layer":4},{"info":"compute binary expreesion, left_input=7204, right_input=4459, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-11212, right_input=160, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-480","layer":2},{"info":"number node, value=3786","layer":4},{"info":"number node, value=6090","layer":4},{"info":"compute binary expreesion, left_input=3786, right_input=6090, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=2686","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=2686, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-480","layer":1},{"info":"number node, value=4775","layer":4},{"info":"number node, value=7768","layer":4},{"info":"compute binary expreesion, left_input=4775, right_input=7768, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-30093","layer":3},{"info":"compute unary expreesion, input=-30093, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=90279","layer":2},{"info":"number node, value=4246","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=4246, right_input=3828, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3355","layer":3},{"info":"number node, value=3753","layer":4},{"info":"compute unary expreesion, input=3753, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=3355, right_input=-21, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3376","layer":2},{"info":"compute binary expreesion, left_input=90279, right_input=-3376, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=-480, right_input=2802, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":10,"result_base":10,"text":"((∂⩏⊆⊺⇮3711)∌↝⊺⇮7204⩘⊺⇮4459)∣(⊺⇮3786⇡⇂⊺⇮6090⪮%⊝⊺⇮1036⇍⊗⊺⇮2686)⩘(⊄⩳↩(⊺⇮4775⪶≀⋏⊺⇮7768))⋕⪉⪜(⊺⇮4246≧⫂∧⊺⇮3828⨳⩥⨓(↯⪼⊺⇮3753))=⊺⇮160","reverse_text":"⊺⇮160=((∂⩏⊆⊺⇮3711)∌↝⊺⇮7204⩘⊺⇮4459)∣(⊺⇮3786⇡⇂⊺⇮6090⪮%⊝⊺⇮1036⇍⊗⊺⇮2686)⩘(⊄⩳↩(⊺⇮4775⪶≀⋏⊺⇮7768))⋕⪉⪜(⊺⇮4246≧⫂∧⊺⇮3828⨳⩥⨓(↯⪼⊺⇮3753))","cot":[{"info":"∂⩏⊆⊺⇮3711=⊺⇮-11212","layer":3},{"info":"⊺⇮7204⩘⊺⇮4459=⊺⇮160","layer":3},{"info":"⊺⇮-11212∌↝⊺⇮160=⊺⇮-480","layer":2},{"info":"⊺⇮3786⇡⇂⊺⇮6090=NaN","layer":3},{"info":"⊺⇮1036⇍⊗⊺⇮2686=⊺⇮-244","layer":3},{"info":"NaN⪮%⊝⊺⇮-244=NaN","layer":2},{"info":"⊺⇮-480∣NaN=⊺⇮-480","layer":1},{"info":"⊺⇮4775⪶≀⋏⊺⇮7768=⊺⇮-30093","layer":3},{"info":"⊄⩳↩⊺⇮-30093=⊺⇮90279","layer":2},{"info":"⊺⇮4246≧⫂∧⊺⇮3828=⊺⇮3355","layer":3},{"info":"↯⪼⊺⇮3753=⊺⇮-21","layer":3},{"info":"⊺⇮3355⨳⩥⨓⊺⇮-21=⊺⇮-3376","layer":2},{"info":"⊺⇮90279⋕⪉⪜⊺⇮-3376=⊺⇮2802","layer":1},{"info":"⊺⇮-480⩘⊺⇮2802=⊺⇮160","layer":0}]}
{"id":51,"expression_no_base_symbol":"⩏⊷≩(((⨈⫕$3709$)⊴⇁⪶)∷(⨩∲⋌($2779$⪍↜⋙$1017$)))","expression":"⩏⊷≩(((⨈⫕⊺⇮3709)⊴⇁⪶)∷(⨩∲⋌(⊺⇮2779⪍↜⋙⊺⇮1017)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":618,"operation_count":6,"complexity_ratio":103.0,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3709,"base":10}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2779,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}}}}},"used_operators":["uOZ1tnYMDE","D3AQDKkPcf","oo9mF6JIpo","megm06wKyl","aSik1wnThz","L05ObWFQCd"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","7j4O788W3g","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⊺⇮14223","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3709","layer":4},{"info":"compute unary expreesion, input=3709, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=-8056","layer":2},{"info":"number node, value=2779","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=2779, right_input=1017, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=3524","layer":3},{"info":"compute unary expreesion, input=3524, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4047","layer":2},{"info":"compute binary expreesion, left_input=-8056, right_input=-4047, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=7262","layer":1},{"info":"compute unary expreesion, input=7262, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=14223","layer":0}],"base":10,"result_base":10,"text":"⩏⊷≩(((⨈⫕⊺⇮3709)⊴⇁⪶)∷(⨩∲⋌(⊺⇮2779⪍↜⋙⊺⇮1017)))=⊺⇮14223","reverse_text":"⊺⇮14223=⩏⊷≩(((⨈⫕⊺⇮3709)⊴⇁⪶)∷(⨩∲⋌(⊺⇮2779⪍↜⋙⊺⇮1017)))","cot":[{"info":"⨈⫕⊺⇮3709=⊺⇮-21","layer":3},{"info":"⊺⇮-21⊴⇁⪶=⊺⇮-8056","layer":2},{"info":"⊺⇮2779⪍↜⋙⊺⇮1017=⊺⇮3524","layer":3},{"info":"⨩∲⋌⊺⇮3524=⊺⇮-4047","layer":2},{"info":"⊺⇮-8056∷⊺⇮-4047=⊺⇮7262","layer":1},{"info":"⩏⊷≩⊺⇮7262=⊺⇮14223","layer":0}]}
{"id":52,"expression_no_base_symbol":"⪛⨧(($9372$⊝⪿⪼$3178$⨭⪣($6499$⪉⨛$6185$))⩇∃⫛$4205$⪔⊥$2016$→⨶⪴($5351$⊔$1034$))","expression":"⪛⨧((⊺⇮9372⊝⪿⪼⊺⇮3178⨭⪣(⊺⇮6499⪉⨛⊺⇮6185))⩇∃⫛⊺⇮4205⪔⊥⊺⇮2016→⨶⪴(⊺⇮5351⊔⊺⇮1034))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":138,"operation_count":8,"complexity_ratio":17.25,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":9372,"base":10},"right_expr":{"type":"numeric_atoms","value":3178,"base":10}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":6499,"base":10},"right_expr":{"type":"numeric_atoms","value":6185,"base":10}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4205,"base":10},"right_expr":{"type":"numeric_atoms","value":2016,"base":10}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5351,"base":10},"right_expr":{"type":"numeric_atoms","value":1034,"base":10}}}}},"used_operators":["6NJAcO2OWT","1aApVXNlOP","kn8WO9XteQ","3Oe9XWJUTD","EWw2JM7wp4","bF6eod5Gvf","HJ9erzHUuu","E4l6HwMY31"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","8w2t5hMYqp","9FxExcQeMw","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⊺⇮-326575","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9372","layer":4},{"info":"number node, value=3178","layer":4},{"info":"compute binary expreesion, left_input=9372, right_input=3178, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=125324","layer":3},{"info":"number node, value=6499","layer":4},{"info":"number node, value=6185","layer":4},{"info":"compute binary expreesion, left_input=6499, right_input=6185, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=13527","layer":3},{"info":"compute binary expreesion, left_input=125324, right_input=13527, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=124045","layer":2},{"info":"number node, value=4205","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=4205, right_input=2016, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=12589","layer":3},{"info":"number node, value=5351","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=5351, right_input=1034, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13472","layer":3},{"info":"compute binary expreesion, left_input=12589, right_input=13472, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-40416","layer":2},{"info":"compute binary expreesion, left_input=124045, right_input=-40416, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-163988","layer":1},{"info":"compute unary expreesion, input=-163988, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-326575","layer":0}],"base":10,"result_base":10,"text":"⪛⨧((⊺⇮9372⊝⪿⪼⊺⇮3178⨭⪣(⊺⇮6499⪉⨛⊺⇮6185))⩇∃⫛⊺⇮4205⪔⊥⊺⇮2016→⨶⪴(⊺⇮5351⊔⊺⇮1034))=⊺⇮-326575","reverse_text":"⊺⇮-326575=⪛⨧((⊺⇮9372⊝⪿⪼⊺⇮3178⨭⪣(⊺⇮6499⪉⨛⊺⇮6185))⩇∃⫛⊺⇮4205⪔⊥⊺⇮2016→⨶⪴(⊺⇮5351⊔⊺⇮1034))","cot":[{"info":"⊺⇮9372⊝⪿⪼⊺⇮3178=⊺⇮125324","layer":3},{"info":"⊺⇮6499⪉⨛⊺⇮6185=⊺⇮13527","layer":3},{"info":"⊺⇮125324⨭⪣⊺⇮13527=⊺⇮124045","layer":2},{"info":"⊺⇮4205⪔⊥⊺⇮2016=⊺⇮12589","layer":3},{"info":"⊺⇮5351⊔⊺⇮1034=⊺⇮13472","layer":3},{"info":"⊺⇮12589→⨶⪴⊺⇮13472=⊺⇮-40416","layer":2},{"info":"⊺⇮124045⩇∃⫛⊺⇮-40416=⊺⇮-163988","layer":1},{"info":"⪛⨧⊺⇮-163988=⊺⇮-326575","layer":0}]}
{"id":53,"expression_no_base_symbol":"($4623$⊋≦⊧$2734$↛⩡⫤)⩼⇪↪(≑⋹($5367$⩹$1451$))∝($2144$⩷∴$1034$⇼⇔∾$1028$⨽∌$6506$)⋕⪉⪜($3402$⊋≦⊧$7644$%(⨵$2451$))","expression":"(⊺⇮4623⊋≦⊧⊺⇮2734↛⩡⫤)⩼⇪↪(≑⋹(⊺⇮5367⩹⊺⇮1451))∝(⊺⇮2144⩷∴⊺⇮1034⇼⇔∾⊺⇮1028⨽∌⊺⇮6506)⋕⪉⪜(⊺⇮3402⊋≦⊧⊺⇮7644%(⨵⊺⇮2451))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16125,"operation_count":13,"complexity_ratio":1240.3846153846155,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4623,"base":10},"right_expr":{"type":"numeric_atoms","value":2734,"base":10}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5367,"base":10},"right_expr":{"type":"numeric_atoms","value":1451,"base":10}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2144,"base":10},"right_expr":{"type":"numeric_atoms","value":1034,"base":10}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1028,"base":10},"right_expr":{"type":"numeric_atoms","value":6506,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3402,"base":10},"right_expr":{"type":"numeric_atoms","value":7644,"base":10}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2451,"base":10}}}}},"used_operators":["cTDWOvIxvz","ocnLzx9CaJ","FU0Cs4j7VP","oRDoc9rAEX","6B9nyZLogK","2Wsdkap16l","z6LnFrNh4i","tifHPKVTfV","9FxExcQeMw","9samAPKr6k","k8jYdgA6NY","Tl3Y52tvF8"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"⊺⇮-6868","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4623","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=4623, right_input=2734, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-5228","layer":3},{"info":"compute unary expreesion, input=-5228, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=2730","layer":2},{"info":"number node, value=5367","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=5367, right_input=1451, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1449","layer":3},{"info":"compute unary expreesion, input=1449, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=2730, right_input=1650, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6873","layer":1},{"info":"number node, value=2144","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=1034, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2188","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=6506","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=6506, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2188, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2188","layer":2},{"info":"number node, value=3402","layer":4},{"info":"number node, value=7644","layer":4},{"info":"compute binary expreesion, left_input=3402, right_input=7644, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-10806","layer":3},{"info":"number node, value=2451","layer":4},{"info":"compute unary expreesion, input=2451, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-20817","layer":3},{"info":"compute binary expreesion, left_input=-10806, right_input=-20817, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-10806","layer":2},{"info":"compute binary expreesion, left_input=-2188, right_input=-10806, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=-6873, right_input=2802, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-6868","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4623⊋≦⊧⊺⇮2734↛⩡⫤)⩼⇪↪(≑⋹(⊺⇮5367⩹⊺⇮1451))∝(⊺⇮2144⩷∴⊺⇮1034⇼⇔∾⊺⇮1028⨽∌⊺⇮6506)⋕⪉⪜(⊺⇮3402⊋≦⊧⊺⇮7644%(⨵⊺⇮2451))=⊺⇮-6868","reverse_text":"⊺⇮-6868=(⊺⇮4623⊋≦⊧⊺⇮2734↛⩡⫤)⩼⇪↪(≑⋹(⊺⇮5367⩹⊺⇮1451))∝(⊺⇮2144⩷∴⊺⇮1034⇼⇔∾⊺⇮1028⨽∌⊺⇮6506)⋕⪉⪜(⊺⇮3402⊋≦⊧⊺⇮7644%(⨵⊺⇮2451))","cot":[{"info":"⊺⇮4623⊋≦⊧⊺⇮2734=⊺⇮-5228","layer":3},{"info":"⊺⇮-5228↛⩡⫤=⊺⇮2730","layer":2},{"info":"⊺⇮5367⩹⊺⇮1451=⊺⇮1449","layer":3},{"info":"≑⋹⊺⇮1449=⊺⇮1650","layer":2},{"info":"⊺⇮2730⩼⇪↪⊺⇮1650=⊺⇮-6873","layer":1},{"info":"⊺⇮2144⩷∴⊺⇮1034=⊺⇮2188","layer":3},{"info":"⊺⇮1028⨽∌⊺⇮6506=⊺⇮0","layer":3},{"info":"⊺⇮2188⇼⇔∾⊺⇮0=⊺⇮-2188","layer":2},{"info":"⊺⇮3402⊋≦⊧⊺⇮7644=⊺⇮-10806","layer":3},{"info":"⨵⊺⇮2451=⊺⇮-20817","layer":3},{"info":"⊺⇮-10806%⊺⇮-20817=⊺⇮-10806","layer":2},{"info":"⊺⇮-2188⋕⪉⪜⊺⇮-10806=⊺⇮2802","layer":1},{"info":"⊺⇮-6873∝⊺⇮2802=⊺⇮-6868","layer":0}]}
{"id":54,"expression_no_base_symbol":"(≸≮($5290$∣$1408$⩹$2743$⇄$2276$))∽((⇤←$3615$)≳⇉($1137$⩚⊴⇥$2203$)⪁($5443$⫦⪉$8468$)⪛($3015$⇀∌))","expression":"(≸≮(⊺⇮5290∣⊺⇮1408⩹⊺⇮2743⇄⊺⇮2276))∽((⇤←⊺⇮3615)≳⇉(⊺⇮1137⩚⊴⇥⊺⇮2203)⪁(⊺⇮5443⫦⪉⊺⇮8468)⪛(⊺⇮3015⇀∌))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":199624580,"operation_count":12,"complexity_ratio":16635381.666666666,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5290,"base":10},"right_expr":{"type":"numeric_atoms","value":1408,"base":10}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2743,"base":10},"right_expr":{"type":"numeric_atoms","value":2276,"base":10}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":3615,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1137,"base":10},"right_expr":{"type":"numeric_atoms","value":2203,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5443,"base":10},"right_expr":{"type":"numeric_atoms","value":8468,"base":10}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":3015,"base":10}}}}},"used_operators":["y4ImoPnbV5","AljMvE3RRm","2Wsdkap16l","PPChnnnBFF","3EYGwJThht","I7sXao9hZE","V0kx6qeWkN","jfAgQ2OQeM","NTOWxs364D","uFcxV4UQCh","wscyQdcy20","2k53nXOpI5"],"dependent_operators":["NTOWxs364D","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5290","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=5290, right_input=1408, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5290","layer":3},{"info":"number node, value=2743","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=2743, right_input=2276, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5290, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":2},{"info":"compute unary expreesion, input=-2, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-270","layer":1},{"info":"number node, value=3615","layer":4},{"info":"compute unary expreesion, input=3615, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-16709","layer":3},{"info":"number node, value=1137","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=2203, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3461","layer":3},{"info":"compute binary expreesion, left_input=-16709, right_input=-3461, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=5443","layer":4},{"info":"number node, value=8468","layer":4},{"info":"compute binary expreesion, left_input=5443, right_input=8468, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-5986","layer":3},{"info":"number node, value=3015","layer":4},{"info":"compute unary expreesion, input=3015, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-5986, right_input=113, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-270, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≸≮(⊺⇮5290∣⊺⇮1408⩹⊺⇮2743⇄⊺⇮2276))∽((⇤←⊺⇮3615)≳⇉(⊺⇮1137⩚⊴⇥⊺⇮2203)⪁(⊺⇮5443⫦⪉⊺⇮8468)⪛(⊺⇮3015⇀∌))=NaN","reverse_text":"NaN=(≸≮(⊺⇮5290∣⊺⇮1408⩹⊺⇮2743⇄⊺⇮2276))∽((⇤←⊺⇮3615)≳⇉(⊺⇮1137⩚⊴⇥⊺⇮2203)⪁(⊺⇮5443⫦⪉⊺⇮8468)⪛(⊺⇮3015⇀∌))","cot":[{"info":"⊺⇮5290∣⊺⇮1408=⊺⇮5290","layer":3},{"info":"⊺⇮2743⇄⊺⇮2276=⊺⇮0","layer":3},{"info":"⊺⇮5290⩹⊺⇮0=⊺⇮-2","layer":2},{"info":"≸≮⊺⇮-2=⊺⇮-270","layer":1},{"info":"⇤←⊺⇮3615=⊺⇮-16709","layer":3},{"info":"⊺⇮1137⩚⊴⇥⊺⇮2203=⊺⇮-3461","layer":3},{"info":"⊺⇮-16709≳⇉⊺⇮-3461=NaN","layer":2},{"info":"⊺⇮5443⫦⪉⊺⇮8468=⊺⇮-5986","layer":3},{"info":"⊺⇮3015⇀∌=⊺⇮113","layer":3},{"info":"⊺⇮-5986⪛⊺⇮113=⊺⇮3","layer":2},{"info":"NaN⪁⊺⇮3=NaN","layer":1},{"info":"⊺⇮-270∽NaN=NaN","layer":0}]}
{"id":55,"expression_no_base_symbol":"(($6909$∳⫺$1881$⋻⩜⩜$2483$⇮⋭$4235$)⊬⨰(⋃($1881$⊾⪯⋞$3027$)))∌($1123$⩍⋽⫝̸$1494$⨵⪆($1123$⫑))↹⊜($2002$⇍⊗$6643$⪉⨛$1183$⇡⇂$1654$)","expression":"((⊺⇮6909∳⫺⊺⇮1881⋻⩜⩜⊺⇮2483⇮⋭⊺⇮4235)⊬⨰(⋃(⊺⇮1881⊾⪯⋞⊺⇮3027)))∌(⊺⇮1123⩍⋽⫝̸⊺⇮1494⨵⪆(⊺⇮1123⫑))↹⊜(⊺⇮2002⇍⊗⊺⇮6643⪉⨛⊺⇮1183⇡⇂⊺⇮1654)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17564,"operation_count":14,"complexity_ratio":1254.5714285714287,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":6909,"base":10},"right_expr":{"type":"numeric_atoms","value":1881,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2483,"base":10},"right_expr":{"type":"numeric_atoms","value":4235,"base":10}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1881,"base":10},"right_expr":{"type":"numeric_atoms","value":3027,"base":10}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1123,"base":10},"right_expr":{"type":"numeric_atoms","value":1494,"base":10}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1123,"base":10}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2002,"base":10},"right_expr":{"type":"numeric_atoms","value":6643,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1183,"base":10},"right_expr":{"type":"numeric_atoms","value":1654,"base":10}}}}},"used_operators":["8cLx32lpNA","s3Fd5m9Dh2","oDCm7WA9JY","AzXXKTstlj","vkpjKywKVM","3mBM5G4a3l","HK0tfVPux8","9bazX3JMtO","2DQ55sFlQl","BiWNJpBvwn","CgIo77xlM2","EWw2JM7wp4","5uvYHDjeKN","UMwdvZNt44"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","g55IO6H4Gj","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6909","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=6909, right_input=1881, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2483","layer":4},{"info":"number node, value=4235","layer":4},{"info":"compute binary expreesion, left_input=2483, right_input=4235, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-473, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=1881","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=3027, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5628","layer":3},{"info":"compute unary expreesion, input=5628, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=11358","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11358, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1494, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=548","layer":3},{"info":"number node, value=1123","layer":4},{"info":"compute unary expreesion, input=1123, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=548, right_input=3979, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2002","layer":4},{"info":"number node, value=6643","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=6643, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=1654, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6909∳⫺⊺⇮1881⋻⩜⩜⊺⇮2483⇮⋭⊺⇮4235)⊬⨰(⋃(⊺⇮1881⊾⪯⋞⊺⇮3027)))∌(⊺⇮1123⩍⋽⫝̸⊺⇮1494⨵⪆(⊺⇮1123⫑))↹⊜(⊺⇮2002⇍⊗⊺⇮6643⪉⨛⊺⇮1183⇡⇂⊺⇮1654)=NaN","reverse_text":"NaN=((⊺⇮6909∳⫺⊺⇮1881⋻⩜⩜⊺⇮2483⇮⋭⊺⇮4235)⊬⨰(⋃(⊺⇮1881⊾⪯⋞⊺⇮3027)))∌(⊺⇮1123⩍⋽⫝̸⊺⇮1494⨵⪆(⊺⇮1123⫑))↹⊜(⊺⇮2002⇍⊗⊺⇮6643⪉⨛⊺⇮1183⇡⇂⊺⇮1654)","cot":[{"info":"⊺⇮6909∳⫺⊺⇮1881=⊺⇮-260","layer":3},{"info":"⊺⇮2483⇮⋭⊺⇮4235=⊺⇮-473","layer":3},{"info":"⊺⇮-260⋻⩜⩜⊺⇮-473=NaN","layer":2},{"info":"⊺⇮1881⊾⪯⋞⊺⇮3027=⊺⇮5628","layer":3},{"info":"⋃⊺⇮5628=⊺⇮11358","layer":2},{"info":"NaN⊬⨰⊺⇮11358=NaN","layer":1},{"info":"⊺⇮1123⩍⋽⫝̸⊺⇮1494=⊺⇮548","layer":3},{"info":"⊺⇮1123⫑=⊺⇮3979","layer":3},{"info":"⊺⇮548⨵⪆⊺⇮3979=⊺⇮160","layer":2},{"info":"⊺⇮2002⇍⊗⊺⇮6643=⊺⇮-244","layer":3},{"info":"⊺⇮1183⇡⇂⊺⇮1654=NaN","layer":3},{"info":"⊺⇮-244⪉⨛NaN=NaN","layer":2},{"info":"⊺⇮160↹⊜NaN=NaN","layer":1},{"info":"NaN∌NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"(⇖⫷⫕(⪲⇎$5410$))⪬($4048$⪎↠$4666$⨻⩈⩔($1044$⪐))⨚(⇈((⨝⨆$4028$)⇟⨁⪰))","expression":"(⇖⫷⫕(⪲⇎⊺⇮5410))⪬(⊺⇮4048⪎↠⊺⇮4666⨻⩈⩔(⊺⇮1044⪐))⨚(⇈((⨝⨆⊺⇮4028)⇟⨁⪰))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2629,"operation_count":10,"complexity_ratio":262.9,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5410,"base":10}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4048,"base":10},"right_expr":{"type":"numeric_atoms","value":4666,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1044,"base":10}}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4028,"base":10}}}}},"used_operators":["nREPSIbpBE","Ez1Nq5fNfI","UHmRx3INFg","XPYlsWDdGa","nEsXyWgiOK","3tVxb0NHM4","eH2TOUuTDT","SLLxy00UIr","BX1lVwlMe0","bQ67fsrMVf"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","2DDjHMKMc0","xUOZtlo3hN","tifHPKVTfV"],"result":"⊺⇮5190","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5410","layer":4},{"info":"compute unary expreesion, input=5410, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10820","layer":3},{"info":"compute unary expreesion, input=10820, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=4048","layer":4},{"info":"number node, value=4666","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=4666, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2088","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2088, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-174, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=4028","layer":4},{"info":"compute unary expreesion, input=4028, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3819","layer":3},{"info":"compute unary expreesion, input=3819, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-3993","layer":2},{"info":"compute unary expreesion, input=-3993, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-447, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=5190","layer":0}],"base":10,"result_base":10,"text":"(⇖⫷⫕(⪲⇎⊺⇮5410))⪬(⊺⇮4048⪎↠⊺⇮4666⨻⩈⩔(⊺⇮1044⪐))⨚(⇈((⨝⨆⊺⇮4028)⇟⨁⪰))=⊺⇮5190","reverse_text":"⊺⇮5190=(⇖⫷⫕(⪲⇎⊺⇮5410))⪬(⊺⇮4048⪎↠⊺⇮4666⨻⩈⩔(⊺⇮1044⪐))⨚(⇈((⨝⨆⊺⇮4028)⇟⨁⪰))","cot":[{"info":"⪲⇎⊺⇮5410=⊺⇮10820","layer":3},{"info":"⇖⫷⫕⊺⇮10820=⊺⇮2822","layer":2},{"info":"⊺⇮4048⪎↠⊺⇮4666=⊺⇮160","layer":3},{"info":"⊺⇮1044⪐=⊺⇮2088","layer":3},{"info":"⊺⇮160⨻⩈⩔⊺⇮2088=⊺⇮-174","layer":2},{"info":"⊺⇮2822⪬⊺⇮-174=⊺⇮1234","layer":1},{"info":"⨝⨆⊺⇮4028=⊺⇮3819","layer":3},{"info":"⊺⇮3819⇟⨁⪰=⊺⇮-3993","layer":2},{"info":"⇈⊺⇮-3993=⊺⇮-447","layer":1},{"info":"⊺⇮1234⨚⊺⇮-447=⊺⇮5190","layer":0}]}
{"id":57,"expression_no_base_symbol":"(($4017$≨$1577$⊹≧⊝)⋭≵$8187$∴$3072$∇⊂⋱($3742$⋥≓≎$6298$))⫢⨠(($1867$∷$1182$)∙⊟$1074$⩁⩘$1832$)⫗⊷⫓(⨵($1137$⨒$7519$))","expression":"((⊺⇮4017≨⊺⇮1577⊹≧⊝)⋭≵⊺⇮8187∴⊺⇮3072∇⊂⋱(⊺⇮3742⋥≓≎⊺⇮6298))⫢⨠((⊺⇮1867∷⊺⇮1182)∙⊟⊺⇮1074⩁⩘⊺⇮1832)⫗⊷⫓(⨵(⊺⇮1137⨒⊺⇮7519))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2235,"operation_count":13,"complexity_ratio":171.92307692307693,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4017,"base":10},"right_expr":{"type":"numeric_atoms","value":1577,"base":10}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":8187,"base":10},"right_expr":{"type":"numeric_atoms","value":3072,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3742,"base":10},"right_expr":{"type":"numeric_atoms","value":6298,"base":10}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1867,"base":10},"right_expr":{"type":"numeric_atoms","value":1182,"base":10}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1074,"base":10},"right_expr":{"type":"numeric_atoms","value":1832,"base":10}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1137,"base":10},"right_expr":{"type":"numeric_atoms","value":7519,"base":10}}}}},"used_operators":["xlXykHWxX1","jBncVCNhdl","LxFB4K6j0n","0KMCeP1Jsh","nhYeJWJD5X","hrf7POJlIJ","Qy55tPpLXF","zashukvMKz","SxTAKzQCrw","D3AQDKkPcf","gub5Cegaqo","Tl3Y52tvF8","y75s1iXyHd"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DpFCA1CohY","IWmyXbctLI","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⊺⇮-1682","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4017","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=1577, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-37694","layer":3},{"info":"compute unary expreesion, input=-37694, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=301298","layer":2},{"info":"number node, value=8187","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=8187, right_input=3072, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=18022","layer":3},{"info":"number node, value=3742","layer":4},{"info":"number node, value=6298","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=6298, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8887","layer":3},{"info":"compute binary expreesion, left_input=18022, right_input=8887, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=35498","layer":2},{"info":"compute binary expreesion, left_input=301298, right_input=35498, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=1867","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=1182, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1182","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=1832, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8276","layer":3},{"info":"compute binary expreesion, left_input=1182, right_input=8276, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25212","layer":2},{"info":"number node, value=1137","layer":4},{"info":"number node, value=7519","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=7519, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6450","layer":3},{"info":"compute unary expreesion, input=-6450, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=157655","layer":2},{"info":"compute binary expreesion, left_input=25212, right_input=157655, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-134, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=-1682","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4017≨⊺⇮1577⊹≧⊝)⋭≵⊺⇮8187∴⊺⇮3072∇⊂⋱(⊺⇮3742⋥≓≎⊺⇮6298))⫢⨠((⊺⇮1867∷⊺⇮1182)∙⊟⊺⇮1074⩁⩘⊺⇮1832)⫗⊷⫓(⨵(⊺⇮1137⨒⊺⇮7519))=⊺⇮-1682","reverse_text":"⊺⇮-1682=((⊺⇮4017≨⊺⇮1577⊹≧⊝)⋭≵⊺⇮8187∴⊺⇮3072∇⊂⋱(⊺⇮3742⋥≓≎⊺⇮6298))⫢⨠((⊺⇮1867∷⊺⇮1182)∙⊟⊺⇮1074⩁⩘⊺⇮1832)⫗⊷⫓(⨵(⊺⇮1137⨒⊺⇮7519))","cot":[{"info":"⊺⇮4017≨⊺⇮1577=⊺⇮-37694","layer":3},{"info":"⊺⇮-37694⊹≧⊝=⊺⇮301298","layer":2},{"info":"⊺⇮8187∴⊺⇮3072=⊺⇮18022","layer":3},{"info":"⊺⇮3742⋥≓≎⊺⇮6298=⊺⇮8887","layer":3},{"info":"⊺⇮18022∇⊂⋱⊺⇮8887=⊺⇮35498","layer":2},{"info":"⊺⇮301298⋭≵⊺⇮35498=⊺⇮67","layer":1},{"info":"⊺⇮1867∷⊺⇮1182=⊺⇮1182","layer":3},{"info":"⊺⇮1074⩁⩘⊺⇮1832=⊺⇮8276","layer":3},{"info":"⊺⇮1182∙⊟⊺⇮8276=⊺⇮25212","layer":2},{"info":"⊺⇮1137⨒⊺⇮7519=⊺⇮-6450","layer":3},{"info":"⨵⊺⇮-6450=⊺⇮157655","layer":2},{"info":"⊺⇮25212⫗⊷⫓⊺⇮157655=⊺⇮-134","layer":1},{"info":"⊺⇮67⫢⨠⊺⇮-134=⊺⇮-1682","layer":0}]}
{"id":58,"expression_no_base_symbol":"(($6512$∳⫺$2715$)≌(↯⪼$3528$))⋹⋡⊁(($1119$⪉⨛$1076$)∌↝($1238$∠⫱$1900$))⩒⫫($2039$⪶≀⋏$1937$⊨$2192$⩇∃⫛$3797$)⋾⨃∁($3074$⊉↱≁$3393$⊉≛↸$5294$≁↽≥$1420$)","expression":"((⊺⇮6512∳⫺⊺⇮2715)≌(↯⪼⊺⇮3528))⋹⋡⊁((⊺⇮1119⪉⨛⊺⇮1076)∌↝(⊺⇮1238∠⫱⊺⇮1900))⩒⫫(⊺⇮2039⪶≀⋏⊺⇮1937⊨⊺⇮2192⩇∃⫛⊺⇮3797)⋾⨃∁(⊺⇮3074⊉↱≁⊺⇮3393⊉≛↸⊺⇮5294≁↽≥⊺⇮1420)","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":19548,"operation_count":15,"complexity_ratio":1303.2,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":6512,"base":10},"right_expr":{"type":"numeric_atoms","value":2715,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3528,"base":10}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1119,"base":10},"right_expr":{"type":"numeric_atoms","value":1076,"base":10}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1238,"base":10},"right_expr":{"type":"numeric_atoms","value":1900,"base":10}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2039,"base":10},"right_expr":{"type":"numeric_atoms","value":1937,"base":10}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2192,"base":10},"right_expr":{"type":"numeric_atoms","value":3797,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3074,"base":10},"right_expr":{"type":"numeric_atoms","value":3393,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5294,"base":10},"right_expr":{"type":"numeric_atoms","value":1420,"base":10}}}}},"used_operators":["KFSx94NKJn","As8RqfVLgs","lyWz822IDG","AzXXKTstlj","8jW3W4yZS5","9Isq31Ruls","EWw2JM7wp4","QvoQhV0rrE","212REbPD9h","vg4gO5BX6G","zR4jO40bMj","1aApVXNlOP","DZ8iAZOCBD","w2P8NbNXyL","ncHt1X6cMc"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6512","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=6512, right_input=2715, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=3528","layer":4},{"info":"compute unary expreesion, input=3528, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-21, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=8984","layer":2},{"info":"number node, value=1119","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=1076, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2496","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1900, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2496, right_input=1234, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=8984, right_input=0, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=71610","layer":1},{"info":"number node, value=2039","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=2039, right_input=1937, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10223","layer":3},{"info":"number node, value=2192","layer":4},{"info":"number node, value=3797","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=3797, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=2078","layer":3},{"info":"compute binary expreesion, left_input=-10223, right_input=2078, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=3074","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=3393, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=9268","layer":3},{"info":"number node, value=5294","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=5294, right_input=1420, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=75826","layer":3},{"info":"compute binary expreesion, left_input=9268, right_input=75826, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18536","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=18536, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=71610, right_input=inf, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6512∳⫺⊺⇮2715)≌(↯⪼⊺⇮3528))⋹⋡⊁((⊺⇮1119⪉⨛⊺⇮1076)∌↝(⊺⇮1238∠⫱⊺⇮1900))⩒⫫(⊺⇮2039⪶≀⋏⊺⇮1937⊨⊺⇮2192⩇∃⫛⊺⇮3797)⋾⨃∁(⊺⇮3074⊉↱≁⊺⇮3393⊉≛↸⊺⇮5294≁↽≥⊺⇮1420)=NaN","reverse_text":"NaN=((⊺⇮6512∳⫺⊺⇮2715)≌(↯⪼⊺⇮3528))⋹⋡⊁((⊺⇮1119⪉⨛⊺⇮1076)∌↝(⊺⇮1238∠⫱⊺⇮1900))⩒⫫(⊺⇮2039⪶≀⋏⊺⇮1937⊨⊺⇮2192⩇∃⫛⊺⇮3797)⋾⨃∁(⊺⇮3074⊉↱≁⊺⇮3393⊉≛↸⊺⇮5294≁↽≥⊺⇮1420)","cot":[{"info":"⊺⇮6512∳⫺⊺⇮2715=⊺⇮-260","layer":3},{"info":"↯⪼⊺⇮3528=⊺⇮-21","layer":3},{"info":"⊺⇮-260≌⊺⇮-21=⊺⇮8984","layer":2},{"info":"⊺⇮1119⪉⨛⊺⇮1076=⊺⇮2496","layer":3},{"info":"⊺⇮1238∠⫱⊺⇮1900=⊺⇮1234","layer":3},{"info":"⊺⇮2496∌↝⊺⇮1234=⊺⇮0","layer":2},{"info":"⊺⇮8984⋹⋡⊁⊺⇮0=⊺⇮71610","layer":1},{"info":"⊺⇮2039⪶≀⋏⊺⇮1937=⊺⇮-10223","layer":3},{"info":"⊺⇮2192⩇∃⫛⊺⇮3797=⊺⇮2078","layer":3},{"info":"⊺⇮-10223⊨⊺⇮2078=⊺⇮-174","layer":2},{"info":"⊺⇮3074⊉↱≁⊺⇮3393=⊺⇮9268","layer":3},{"info":"⊺⇮5294≁↽≥⊺⇮1420=⊺⇮75826","layer":3},{"info":"⊺⇮9268⊉≛↸⊺⇮75826=⊺⇮18536","layer":2},{"info":"⊺⇮-174⋾⨃∁⊺⇮18536=Inf","layer":1},{"info":"⊺⇮71610⩒⫫Inf=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"(($2305$⊨$1744$)≧⫂∧($4186$⨒$3131$)⪁(⇈$2717$)⊢($2424$⩉⊫⨁))∌(⇙⪊($6517$≳⇉$8152$⇴∐($1487$⩧⪆$4465$)))","expression":"((⊺⇮2305⊨⊺⇮1744)≧⫂∧(⊺⇮4186⨒⊺⇮3131)⪁(⇈⊺⇮2717)⊢(⊺⇮2424⩉⊫⨁))∌(⇙⪊(⊺⇮6517≳⇉⊺⇮8152⇴∐(⊺⇮1487⩧⪆⊺⇮4465)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":596718,"operation_count":12,"complexity_ratio":49726.5,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2305,"base":10},"right_expr":{"type":"numeric_atoms","value":1744,"base":10}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4186,"base":10},"right_expr":{"type":"numeric_atoms","value":3131,"base":10}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2717,"base":10}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2424,"base":10}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6517,"base":10},"right_expr":{"type":"numeric_atoms","value":8152,"base":10}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1487,"base":10},"right_expr":{"type":"numeric_atoms","value":4465,"base":10}}}}},"used_operators":["8cLx32lpNA","I7sXao9hZE","Ph9nP6C5qx","vg4gO5BX6G","y75s1iXyHd","5twsqlHp2o","SLLxy00UIr","7qqUquhhSb","pB6Fcnrjim","HnzytWxmAO","V0kx6qeWkN","Ikt5ks8PT7"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","7j4O788W3g","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2305","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=1744, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=10251","layer":3},{"info":"number node, value=4186","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=3131, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-24744","layer":3},{"info":"compute binary expreesion, left_input=10251, right_input=-24744, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=34995","layer":2},{"info":"number node, value=2717","layer":4},{"info":"compute unary expreesion, input=2717, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=2424","layer":4},{"info":"compute unary expreesion, input=2424, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2424","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2424, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=650","layer":2},{"info":"compute binary expreesion, left_input=34995, right_input=650, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=6517","layer":4},{"info":"number node, value=8152","layer":4},{"info":"compute binary expreesion, left_input=6517, right_input=8152, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1487","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=4465, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4465","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4465, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2305⊨⊺⇮1744)≧⫂∧(⊺⇮4186⨒⊺⇮3131)⪁(⇈⊺⇮2717)⊢(⊺⇮2424⩉⊫⨁))∌(⇙⪊(⊺⇮6517≳⇉⊺⇮8152⇴∐(⊺⇮1487⩧⪆⊺⇮4465)))=NaN","reverse_text":"NaN=((⊺⇮2305⊨⊺⇮1744)≧⫂∧(⊺⇮4186⨒⊺⇮3131)⪁(⇈⊺⇮2717)⊢(⊺⇮2424⩉⊫⨁))∌(⇙⪊(⊺⇮6517≳⇉⊺⇮8152⇴∐(⊺⇮1487⩧⪆⊺⇮4465)))","cot":[{"info":"⊺⇮2305⊨⊺⇮1744=⊺⇮10251","layer":3},{"info":"⊺⇮4186⨒⊺⇮3131=⊺⇮-24744","layer":3},{"info":"⊺⇮10251≧⫂∧⊺⇮-24744=⊺⇮34995","layer":2},{"info":"⇈⊺⇮2717=⊺⇮-447","layer":3},{"info":"⊺⇮2424⩉⊫⨁=⊺⇮2424","layer":3},{"info":"⊺⇮-447⊢⊺⇮2424=⊺⇮650","layer":2},{"info":"⊺⇮34995⪁⊺⇮650=NaN","layer":1},{"info":"⊺⇮6517≳⇉⊺⇮8152=NaN","layer":3},{"info":"⊺⇮1487⩧⪆⊺⇮4465=⊺⇮-4465","layer":3},{"info":"NaN⇴∐⊺⇮-4465=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"NaN∌NaN=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"(($1360$⨽$1166$)⪥(⪹$1628$))⊱⇼⊻((⪭⩑⪱$3906$)⫔⩽⩺($3182$⊢))⩧⪆(↩⪖(⊆⋠($7999$∖$2239$)))","expression":"((⊺⇮1360⨽⊺⇮1166)⪥(⪹⊺⇮1628))⊱⇼⊻((⪭⩑⪱⊺⇮3906)⫔⩽⩺(⊺⇮3182⊢))⩧⪆(↩⪖(⊆⋠(⊺⇮7999∖⊺⇮2239)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":218197,"operation_count":11,"complexity_ratio":19836.090909090908,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1360,"base":10},"right_expr":{"type":"numeric_atoms","value":1166,"base":10}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1628,"base":10}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3906,"base":10}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3182,"base":10}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":7999,"base":10},"right_expr":{"type":"numeric_atoms","value":2239,"base":10}}}}},"used_operators":["Ikt5ks8PT7","FyVja0WsTP","QbnwKVWMIQ","8HhzD0ZcuI","USyYr0JgAa","i9eR4S00cU","SIgE0bArFf","40aOVDgCDB","fG6uBQFnGz","EBhcHTkKd8","tXD093vOjl"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","Tw270M8GLb","fu6greOZ01","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","NTOWxs364D","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⊺⇮4374","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1360","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=1166, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5550984","layer":3},{"info":"number node, value=1628","layer":4},{"info":"compute unary expreesion, input=1628, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1448","layer":3},{"info":"compute binary expreesion, left_input=-5550984, right_input=-1448, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"number node, value=3906","layer":4},{"info":"compute unary expreesion, input=3906, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=3182","layer":4},{"info":"compute unary expreesion, input=3182, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3429","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=-3429, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1798, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=7396","layer":1},{"info":"number node, value=7999","layer":4},{"info":"number node, value=2239","layer":4},{"info":"compute binary expreesion, left_input=7999, right_input=2239, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"compute unary expreesion, input=348, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-4374","layer":1},{"info":"compute binary expreesion, left_input=7396, right_input=-4374, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=4374","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1360⨽⊺⇮1166)⪥(⪹⊺⇮1628))⊱⇼⊻((⪭⩑⪱⊺⇮3906)⫔⩽⩺(⊺⇮3182⊢))⩧⪆(↩⪖(⊆⋠(⊺⇮7999∖⊺⇮2239)))=⊺⇮4374","reverse_text":"⊺⇮4374=((⊺⇮1360⨽⊺⇮1166)⪥(⪹⊺⇮1628))⊱⇼⊻((⪭⩑⪱⊺⇮3906)⫔⩽⩺(⊺⇮3182⊢))⩧⪆(↩⪖(⊆⋠(⊺⇮7999∖⊺⇮2239)))","cot":[{"info":"⊺⇮1360⨽⊺⇮1166=⊺⇮-5550984","layer":3},{"info":"⪹⊺⇮1628=⊺⇮-1448","layer":3},{"info":"⊺⇮-5550984⪥⊺⇮-1448=⊺⇮-1798","layer":2},{"info":"⪭⩑⪱⊺⇮3906=⊺⇮8320752","layer":3},{"info":"⊺⇮3182⊢=⊺⇮-3429","layer":3},{"info":"⊺⇮8320752⫔⩽⩺⊺⇮-3429=NaN","layer":2},{"info":"⊺⇮-1798⊱⇼⊻NaN=⊺⇮7396","layer":1},{"info":"⊺⇮7999∖⊺⇮2239=⊺⇮0","layer":3},{"info":"⊆⋠⊺⇮0=⊺⇮348","layer":2},{"info":"↩⪖⊺⇮348=⊺⇮-4374","layer":1},{"info":"⊺⇮7396⩧⪆⊺⇮-4374=⊺⇮4374","layer":0}]}
{"id":61,"expression_no_base_symbol":"(⇐(($2867$⪨≂$2831$)⊋($3567$⪡$5222$)))↯⫤","expression":"(⇐((⊺⇮2867⪨≂⊺⇮2831)⊋(⊺⇮3567⪡⊺⇮5222)))↯⫤","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":157,"operation_count":5,"complexity_ratio":31.4,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2867,"base":10},"right_expr":{"type":"numeric_atoms","value":2831,"base":10}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3567,"base":10},"right_expr":{"type":"numeric_atoms","value":5222,"base":10}}}}},"used_operators":["VwlE7vj6HS","nmZMaaE0Q9","W4tP9CfskL","sdazOOVcIp","oraRL2iQuh"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⊺⇮10032","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2867","layer":4},{"info":"number node, value=2831","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=2831, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=174","layer":3},{"info":"number node, value=3567","layer":4},{"info":"number node, value=5222","layer":4},{"info":"compute binary expreesion, left_input=3567, right_input=5222, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=174, right_input=107, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-3314","layer":2},{"info":"compute unary expreesion, input=-3314, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":1},{"info":"compute unary expreesion, input=-5016, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=10032","layer":0}],"base":10,"result_base":10,"text":"(⇐((⊺⇮2867⪨≂⊺⇮2831)⊋(⊺⇮3567⪡⊺⇮5222)))↯⫤=⊺⇮10032","reverse_text":"⊺⇮10032=(⇐((⊺⇮2867⪨≂⊺⇮2831)⊋(⊺⇮3567⪡⊺⇮5222)))↯⫤","cot":[{"info":"⊺⇮2867⪨≂⊺⇮2831=⊺⇮174","layer":3},{"info":"⊺⇮3567⪡⊺⇮5222=⊺⇮107","layer":3},{"info":"⊺⇮174⊋⊺⇮107=⊺⇮-3314","layer":2},{"info":"⇐⊺⇮-3314=⊺⇮-5016","layer":1},{"info":"⊺⇮-5016↯⫤=⊺⇮10032","layer":0}]}
{"id":62,"expression_no_base_symbol":"((($1758$⨎⋸⪻)⩨(→⩰$2919$))⪉⨛($2705$+⪬∐$6796$)⨥⫆($2605$∪⫐$3980$))⇻⋧≁((($1517$≬⇓$6323$)⪥(⨮↦↱$3849$))⪟⇏(($5620$⋐⇩⊬)⪔($2680$⫌⩉⩟$2137$)))","expression":"(((⊺⇮1758⨎⋸⪻)⩨(→⩰⊺⇮2919))⪉⨛(⊺⇮2705+⪬∐⊺⇮6796)⨥⫆(⊺⇮2605∪⫐⊺⇮3980))⇻⋧≁(((⊺⇮1517≬⇓⊺⇮6323)⪥(⨮↦↱⊺⇮3849))⪟⇏((⊺⇮5620⋐⇩⊬)⪔(⊺⇮2680⫌⩉⩟⊺⇮2137)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19910,"operation_count":15,"complexity_ratio":1327.3333333333333,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1758,"base":10}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2919,"base":10}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2705,"base":10},"right_expr":{"type":"numeric_atoms","value":6796,"base":10}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2605,"base":10},"right_expr":{"type":"numeric_atoms","value":3980,"base":10}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1517,"base":10},"right_expr":{"type":"numeric_atoms","value":6323,"base":10}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":3849,"base":10}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":5620,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2680,"base":10},"right_expr":{"type":"numeric_atoms","value":2137,"base":10}}}}},"used_operators":["jCPkEVoL5K","EWw2JM7wp4","2DlMacCsIx","Dk5vyLCiGd","o8Pngz0Tml","yXekIHxTD4","2GS7woTJqF","7YooWSwCyH","GODebY97qR","QbnwKVWMIQ","jWTQ2TZYIH","sYcpBQ0cFf","GjBEYRfMaF","JuuLT1NoCs","XIIwhv8d0m"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","IWmyXbctLI","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","g55IO6H4Gj","D4vGDi5EA2","rJVOvQCfKK","2DDjHMKMc0","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1758","layer":4},{"info":"compute unary expreesion, input=1758, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=3832","layer":3},{"info":"number node, value=2919","layer":4},{"info":"compute unary expreesion, input=2919, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3832, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=2705","layer":4},{"info":"number node, value=6796","layer":4},{"info":"compute binary expreesion, left_input=2705, right_input=6796, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8115","layer":3},{"info":"number node, value=2605","layer":4},{"info":"number node, value=3980","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=3980, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2605","layer":3},{"info":"compute binary expreesion, left_input=-8115, right_input=2605, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=1517","layer":4},{"info":"number node, value=6323","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=6323, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=3849","layer":4},{"info":"compute unary expreesion, input=3849, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-33808491","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-33808491, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"number node, value=5620","layer":4},{"info":"compute unary expreesion, input=5620, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=5620","layer":3},{"info":"number node, value=2680","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=2137, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=5620, right_input=-50, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=-1798, right_input=450, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1758⨎⋸⪻)⩨(→⩰⊺⇮2919))⪉⨛(⊺⇮2705+⪬∐⊺⇮6796)⨥⫆(⊺⇮2605∪⫐⊺⇮3980))⇻⋧≁(((⊺⇮1517≬⇓⊺⇮6323)⪥(⨮↦↱⊺⇮3849))⪟⇏((⊺⇮5620⋐⇩⊬)⪔(⊺⇮2680⫌⩉⩟⊺⇮2137)))=NaN","reverse_text":"NaN=(((⊺⇮1758⨎⋸⪻)⩨(→⩰⊺⇮2919))⪉⨛(⊺⇮2705+⪬∐⊺⇮6796)⨥⫆(⊺⇮2605∪⫐⊺⇮3980))⇻⋧≁(((⊺⇮1517≬⇓⊺⇮6323)⪥(⨮↦↱⊺⇮3849))⪟⇏((⊺⇮5620⋐⇩⊬)⪔(⊺⇮2680⫌⩉⩟⊺⇮2137)))","cot":[{"info":"⊺⇮1758⨎⋸⪻=⊺⇮3832","layer":3},{"info":"→⩰⊺⇮2919=NaN","layer":3},{"info":"⊺⇮3832⩨NaN=NaN","layer":2},{"info":"⊺⇮2705+⪬∐⊺⇮6796=⊺⇮-8115","layer":3},{"info":"⊺⇮2605∪⫐⊺⇮3980=⊺⇮2605","layer":3},{"info":"⊺⇮-8115⨥⫆⊺⇮2605=⊺⇮-1","layer":2},{"info":"NaN⪉⨛⊺⇮-1=NaN","layer":1},{"info":"⊺⇮1517≬⇓⊺⇮6323=⊺⇮-22","layer":3},{"info":"⨮↦↱⊺⇮3849=⊺⇮-33808491","layer":3},{"info":"⊺⇮-22⪥⊺⇮-33808491=⊺⇮-1798","layer":2},{"info":"⊺⇮5620⋐⇩⊬=⊺⇮5620","layer":3},{"info":"⊺⇮2680⫌⩉⩟⊺⇮2137=⊺⇮-50","layer":3},{"info":"⊺⇮5620⪔⊺⇮-50=⊺⇮450","layer":2},{"info":"⊺⇮-1798⪟⇏⊺⇮450=⊺⇮0","layer":1},{"info":"NaN⇻⋧≁⊺⇮0=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"($1534$⫯⪬∳$1609$⋛($2258$⩉⊫⨁)⊾⪯⋞($3279$⋅⇍$2221$)∥⊢⊲($2626$≎⊠⪸$1482$))∘($6800$∌$2551$⪚(⫇$1021$)⋝⋈⪟(⫡⇟⇯$1857$)↹⊜(∨∊⋏$2172$))","expression":"(⊺⇮1534⫯⪬∳⊺⇮1609⋛(⊺⇮2258⩉⊫⨁)⊾⪯⋞(⊺⇮3279⋅⇍⊺⇮2221)∥⊢⊲(⊺⇮2626≎⊠⪸⊺⇮1482))∘(⊺⇮6800∌⊺⇮2551⪚(⫇⊺⇮1021)⋝⋈⪟(⫡⇟⇯⊺⇮1857)↹⊜(∨∊⋏⊺⇮2172))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":753,"operation_count":15,"complexity_ratio":50.2,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1534,"base":10},"right_expr":{"type":"numeric_atoms","value":1609,"base":10}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2258,"base":10}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3279,"base":10},"right_expr":{"type":"numeric_atoms","value":2221,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2626,"base":10},"right_expr":{"type":"numeric_atoms","value":1482,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":6800,"base":10},"right_expr":{"type":"numeric_atoms","value":2551,"base":10}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1021,"base":10}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1857,"base":10}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2172,"base":10}}}}},"used_operators":["Z5m6OM72h2","HK0tfVPux8","YbUVn0Rbpy","d7ASUq0ydm","7qqUquhhSb","v1UQAVDJRr","AdZkA7nFnk","bJkvcejdHO","2DDjHMKMc0","HrjLwUk87U","8cLx32lpNA","YjI8oCXuph","9bazX3JMtO","qWUSsah53b","R5aXW34M0v"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","7j4O788W3g","EBcxylXtPf","rGHVDoGpnC","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DZ8iAZOCBD","P8v4zCKN1o","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1534","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=1609, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6094","layer":3},{"info":"number node, value=2258","layer":4},{"info":"compute unary expreesion, input=2258, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2258","layer":3},{"info":"compute binary expreesion, left_input=6094, right_input=2258, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-77346","layer":2},{"info":"number node, value=3279","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=2221, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2626","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=1482, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=679661","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=679661, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-77346, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"number node, value=6800","layer":4},{"info":"number node, value=2551","layer":4},{"info":"compute binary expreesion, left_input=6800, right_input=2551, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2551","layer":3},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-828","layer":3},{"info":"compute binary expreesion, left_input=-2551, right_input=-828, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=4226","layer":2},{"info":"number node, value=1857","layer":4},{"info":"compute unary expreesion, input=1857, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4582","layer":3},{"info":"number node, value=2172","layer":4},{"info":"compute unary expreesion, input=2172, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=38927","layer":3},{"info":"compute binary expreesion, left_input=4582, right_input=38927, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-146640","layer":2},{"info":"compute binary expreesion, left_input=4226, right_input=-146640, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4226","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4226, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1534⫯⪬∳⊺⇮1609⋛(⊺⇮2258⩉⊫⨁)⊾⪯⋞(⊺⇮3279⋅⇍⊺⇮2221)∥⊢⊲(⊺⇮2626≎⊠⪸⊺⇮1482))∘(⊺⇮6800∌⊺⇮2551⪚(⫇⊺⇮1021)⋝⋈⪟(⫡⇟⇯⊺⇮1857)↹⊜(∨∊⋏⊺⇮2172))=NaN","reverse_text":"NaN=(⊺⇮1534⫯⪬∳⊺⇮1609⋛(⊺⇮2258⩉⊫⨁)⊾⪯⋞(⊺⇮3279⋅⇍⊺⇮2221)∥⊢⊲(⊺⇮2626≎⊠⪸⊺⇮1482))∘(⊺⇮6800∌⊺⇮2551⪚(⫇⊺⇮1021)⋝⋈⪟(⫡⇟⇯⊺⇮1857)↹⊜(∨∊⋏⊺⇮2172))","cot":[{"info":"⊺⇮1534⫯⪬∳⊺⇮1609=⊺⇮6094","layer":3},{"info":"⊺⇮2258⩉⊫⨁=⊺⇮2258","layer":3},{"info":"⊺⇮6094⋛⊺⇮2258=⊺⇮-77346","layer":2},{"info":"⊺⇮3279⋅⇍⊺⇮2221=⊺⇮-22","layer":3},{"info":"⊺⇮2626≎⊠⪸⊺⇮1482=⊺⇮679661","layer":3},{"info":"⊺⇮-22∥⊢⊲⊺⇮679661=NaN","layer":2},{"info":"⊺⇮-77346⊾⪯⋞NaN=NaN","layer":1},{"info":"⊺⇮6800∌⊺⇮2551=⊺⇮-2551","layer":3},{"info":"⫇⊺⇮1021=⊺⇮-828","layer":3},{"info":"⊺⇮-2551⪚⊺⇮-828=⊺⇮4226","layer":2},{"info":"⫡⇟⇯⊺⇮1857=⊺⇮4582","layer":3},{"info":"∨∊⋏⊺⇮2172=⊺⇮38927","layer":3},{"info":"⊺⇮4582↹⊜⊺⇮38927=⊺⇮-146640","layer":2},{"info":"⊺⇮4226⋝⋈⪟⊺⇮-146640=⊺⇮4226","layer":1},{"info":"NaN∘⊺⇮4226=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"(⪓⩚$3508$≌$2088$⨽∌(∐⩳⋚$1006$))⫢⨠(($3054$⊾⪯⋞$1835$⫳≱↱($4276$∲⫓$4516$))⇩)","expression":"(⪓⩚⊺⇮3508≌⊺⇮2088⨽∌(∐⩳⋚⊺⇮1006))⫢⨠((⊺⇮3054⊾⪯⋞⊺⇮1835⫳≱↱(⊺⇮4276∲⫓⊺⇮4516))⇩)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5978,"operation_count":9,"complexity_ratio":664.2222222222222,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3508,"base":10},"right_expr":{"type":"numeric_atoms","value":2088,"base":10}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1006,"base":10}}}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3054,"base":10},"right_expr":{"type":"numeric_atoms","value":1835,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4276,"base":10},"right_expr":{"type":"numeric_atoms","value":4516,"base":10}}}}},"used_operators":["xlXykHWxX1","u0R0Locfp2","9samAPKr6k","lyWz822IDG","SL6IHkK8vl","vRio1gEz1j","ZvLB05nZmT","HK0tfVPux8","i8ToyICDmI"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3508","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=3508, right_input=2088, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=133523","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=133523, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=3054","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=1835, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3244","layer":3},{"info":"number node, value=4276","layer":4},{"info":"number node, value=4516","layer":4},{"info":"compute binary expreesion, left_input=4276, right_input=4516, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3244, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":2},{"info":"compute unary expreesion, input=-471, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-378","layer":1},{"info":"compute binary expreesion, left_input=426, right_input=-378, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⪓⩚⊺⇮3508≌⊺⇮2088⨽∌(∐⩳⋚⊺⇮1006))⫢⨠((⊺⇮3054⊾⪯⋞⊺⇮1835⫳≱↱(⊺⇮4276∲⫓⊺⇮4516))⇩)=⊺⇮160","reverse_text":"⊺⇮160=(⪓⩚⊺⇮3508≌⊺⇮2088⨽∌(∐⩳⋚⊺⇮1006))⫢⨠((⊺⇮3054⊾⪯⋞⊺⇮1835⫳≱↱(⊺⇮4276∲⫓⊺⇮4516))⇩)","cot":[{"info":"⊺⇮3508≌⊺⇮2088=NaN","layer":3},{"info":"∐⩳⋚⊺⇮1006=⊺⇮133523","layer":3},{"info":"NaN⨽∌⊺⇮133523=⊺⇮0","layer":2},{"info":"⪓⩚⊺⇮0=⊺⇮426","layer":1},{"info":"⊺⇮3054⊾⪯⋞⊺⇮1835=⊺⇮3244","layer":3},{"info":"⊺⇮4276∲⫓⊺⇮4516=⊺⇮0","layer":3},{"info":"⊺⇮3244⫳≱↱⊺⇮0=⊺⇮-471","layer":2},{"info":"⊺⇮-471⇩=⊺⇮-378","layer":1},{"info":"⊺⇮426⫢⨠⊺⇮-378=⊺⇮160","layer":0}]}
{"id":65,"expression_no_base_symbol":"(($1166$⪁$2261$)⪃⊛⇣(⪹$2578$)≀⫉($2076$≎⊠⪸$4579$)∳⫺($2120$⨸⪁$1240$))↞⋁((⩦⩻⨪$3124$⩧⪆$3171$)↼⊘⨖(⇋⊎⋝(↘$5971$)))","expression":"((⊺⇮1166⪁⊺⇮2261)⪃⊛⇣(⪹⊺⇮2578)≀⫉(⊺⇮2076≎⊠⪸⊺⇮4579)∳⫺(⊺⇮2120⨸⪁⊺⇮1240))↞⋁((⩦⩻⨪⊺⇮3124⩧⪆⊺⇮3171)↼⊘⨖(⇋⊎⋝(↘⊺⇮5971)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":73180831,"operation_count":13,"complexity_ratio":5629294.692307692,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1166,"base":10},"right_expr":{"type":"numeric_atoms","value":2261,"base":10}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2578,"base":10}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2076,"base":10},"right_expr":{"type":"numeric_atoms","value":4579,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2120,"base":10},"right_expr":{"type":"numeric_atoms","value":1240,"base":10}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3124,"base":10},"right_expr":{"type":"numeric_atoms","value":3171,"base":10}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":5971,"base":10}}}}},"used_operators":["RqrPlJkxDo","oZj3VtZNQx","rrgAzCduG9","I7sXao9hZE","USyYr0JgAa","AzXXKTstlj","bJkvcejdHO","g55IO6H4Gj","bPywburJMS","2td37pGCOC","Ikt5ks8PT7","CzM2PEoXns","LdNpr8hQHL"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tifHPKVTfV","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","dWAJyo7jo9","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=2261, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=2578","layer":4},{"info":"compute unary expreesion, input=2578, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2398","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2398, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=2076","layer":4},{"info":"number node, value=4579","layer":4},{"info":"compute binary expreesion, left_input=2076, right_input=4579, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=537211","layer":3},{"info":"number node, value=2120","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=1240, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6720","layer":3},{"info":"compute binary expreesion, left_input=537211, right_input=6720, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-260, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=3124","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=3171, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3171","layer":3},{"info":"compute unary expreesion, input=-3171, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-3171","layer":2},{"info":"number node, value=5971","layer":4},{"info":"compute unary expreesion, input=5971, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=91","layer":3},{"info":"compute unary expreesion, input=91, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3171, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1166⪁⊺⇮2261)⪃⊛⇣(⪹⊺⇮2578)≀⫉(⊺⇮2076≎⊠⪸⊺⇮4579)∳⫺(⊺⇮2120⨸⪁⊺⇮1240))↞⋁((⩦⩻⨪⊺⇮3124⩧⪆⊺⇮3171)↼⊘⨖(⇋⊎⋝(↘⊺⇮5971)))=NaN","reverse_text":"NaN=((⊺⇮1166⪁⊺⇮2261)⪃⊛⇣(⪹⊺⇮2578)≀⫉(⊺⇮2076≎⊠⪸⊺⇮4579)∳⫺(⊺⇮2120⨸⪁⊺⇮1240))↞⋁((⩦⩻⨪⊺⇮3124⩧⪆⊺⇮3171)↼⊘⨖(⇋⊎⋝(↘⊺⇮5971)))","cot":[{"info":"⊺⇮1166⪁⊺⇮2261=NaN","layer":3},{"info":"⪹⊺⇮2578=⊺⇮-2398","layer":3},{"info":"NaN⪃⊛⇣⊺⇮-2398=⊺⇮1234","layer":2},{"info":"⊺⇮2076≎⊠⪸⊺⇮4579=⊺⇮537211","layer":3},{"info":"⊺⇮2120⨸⪁⊺⇮1240=⊺⇮6720","layer":3},{"info":"⊺⇮537211∳⫺⊺⇮6720=⊺⇮-260","layer":2},{"info":"⊺⇮1234≀⫉⊺⇮-260=⊺⇮2822","layer":1},{"info":"⊺⇮3124⩧⪆⊺⇮3171=⊺⇮-3171","layer":3},{"info":"⩦⩻⨪⊺⇮-3171=⊺⇮-3171","layer":2},{"info":"↘⊺⇮5971=⊺⇮91","layer":3},{"info":"⇋⊎⋝⊺⇮91=NaN","layer":2},{"info":"⊺⇮-3171↼⊘⨖NaN=NaN","layer":1},{"info":"⊺⇮2822↞⋁NaN=NaN","layer":0}]}
{"id":66,"expression_no_base_symbol":"((≅≯⇸($2932$⊓⋫))⋛($3952$⪘⫢$1302$↙($5869$⫲)))⨽∌(($2227$⇋≉)⫁⪎($1112$⫥∨⫟$2179$)+$1893$⪎↠$4294$⩚⊴⇥$3989$⪚$4914$)","expression":"((≅≯⇸(⊺⇮2932⊓⋫))⋛(⊺⇮3952⪘⫢⊺⇮1302↙(⊺⇮5869⫲)))⨽∌((⊺⇮2227⇋≉)⫁⪎(⊺⇮1112⫥∨⫟⊺⇮2179)+⊺⇮1893⪎↠⊺⇮4294⩚⊴⇥⊺⇮3989⪚⊺⇮4914)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5971,"operation_count":14,"complexity_ratio":426.5,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":2932,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3952,"base":10},"right_expr":{"type":"numeric_atoms","value":1302,"base":10}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":5869,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2227,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1112,"base":10},"right_expr":{"type":"numeric_atoms","value":2179,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1893,"base":10},"right_expr":{"type":"numeric_atoms","value":4294,"base":10}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3989,"base":10},"right_expr":{"type":"numeric_atoms","value":4914,"base":10}}}}},"used_operators":["9samAPKr6k","YbUVn0Rbpy","apS25hmuAe","IqGBaFP0uj","yyfyN0ffXY","oacrs7FA3X","9xnGDUPbC6","W4YGzv6Whe","xRrnTEsQ6j","XIabStNQrY","KYD54nUTWz","NTOWxs364D","3tVxb0NHM4","HrjLwUk87U"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","EBcxylXtPf","QMFrweE19q","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2932","layer":4},{"info":"compute unary expreesion, input=2932, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3060","layer":3},{"info":"compute unary expreesion, input=-3060, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-4563","layer":2},{"info":"number node, value=3952","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=3952, right_input=1302, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7780","layer":3},{"info":"number node, value=5869","layer":4},{"info":"compute unary expreesion, input=5869, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=5596","layer":3},{"info":"compute binary expreesion, left_input=7780, right_input=5596, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16788","layer":2},{"info":"compute binary expreesion, left_input=-4563, right_input=-16788, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-49719","layer":1},{"info":"number node, value=2227","layer":4},{"info":"compute unary expreesion, input=2227, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4356","layer":3},{"info":"number node, value=1112","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=2179, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4356, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"number node, value=1893","layer":4},{"info":"number node, value=4294","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=4294, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=3989","layer":4},{"info":"number node, value=4914","layer":4},{"info":"compute binary expreesion, left_input=3989, right_input=4914, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2206","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2206, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1925","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1925, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-49719, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≅≯⇸(⊺⇮2932⊓⋫))⋛(⊺⇮3952⪘⫢⊺⇮1302↙(⊺⇮5869⫲)))⨽∌((⊺⇮2227⇋≉)⫁⪎(⊺⇮1112⫥∨⫟⊺⇮2179)+⊺⇮1893⪎↠⊺⇮4294⩚⊴⇥⊺⇮3989⪚⊺⇮4914)=NaN","reverse_text":"NaN=((≅≯⇸(⊺⇮2932⊓⋫))⋛(⊺⇮3952⪘⫢⊺⇮1302↙(⊺⇮5869⫲)))⨽∌((⊺⇮2227⇋≉)⫁⪎(⊺⇮1112⫥∨⫟⊺⇮2179)+⊺⇮1893⪎↠⊺⇮4294⩚⊴⇥⊺⇮3989⪚⊺⇮4914)","cot":[{"info":"⊺⇮2932⊓⋫=⊺⇮-3060","layer":3},{"info":"≅≯⇸⊺⇮-3060=⊺⇮-4563","layer":2},{"info":"⊺⇮3952⪘⫢⊺⇮1302=⊺⇮7780","layer":3},{"info":"⊺⇮5869⫲=⊺⇮5596","layer":3},{"info":"⊺⇮7780↙⊺⇮5596=⊺⇮-16788","layer":2},{"info":"⊺⇮-4563⋛⊺⇮-16788=⊺⇮-49719","layer":1},{"info":"⊺⇮2227⇋≉=⊺⇮4356","layer":3},{"info":"⊺⇮1112⫥∨⫟⊺⇮2179=NaN","layer":3},{"info":"⊺⇮4356⫁⪎NaN=NaN","layer":2},{"info":"⊺⇮1893⪎↠⊺⇮4294=⊺⇮160","layer":3},{"info":"⊺⇮3989⪚⊺⇮4914=⊺⇮-2206","layer":3},{"info":"⊺⇮160⩚⊴⇥⊺⇮-2206=⊺⇮1925","layer":2},{"info":"NaN+⊺⇮1925=NaN","layer":1},{"info":"⊺⇮-49719⨽∌NaN=NaN","layer":0}]}
{"id":67,"expression_no_base_symbol":"(((⩷⨜⫀$4382$)⪁$1016$⋻⩜⩜$4610$)↑)*(($6512$⫚↹⊑$1871$)≨(⋣$2128$))≴⪞⇿(⨙⪌($1553$⩍⋽⫝̸$4949$))","expression":"(((⩷⨜⫀⊺⇮4382)⪁⊺⇮1016⋻⩜⩜⊺⇮4610)↑)*((⊺⇮6512⫚↹⊑⊺⇮1871)≨(⋣⊺⇮2128))≴⪞⇿(⨙⪌(⊺⇮1553⩍⋽⫝̸⊺⇮4949))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":74407746,"operation_count":11,"complexity_ratio":6764340.545454546,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":4382,"base":10}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1016,"base":10},"right_expr":{"type":"numeric_atoms","value":4610,"base":10}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":6512,"base":10},"right_expr":{"type":"numeric_atoms","value":1871,"base":10}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2128,"base":10}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1553,"base":10},"right_expr":{"type":"numeric_atoms","value":4949,"base":10}}}}},"used_operators":["9HNa5Wba9A","BThhyOhh10","I7sXao9hZE","CDi0ktkjQ4","oDCm7WA9JY","lvlrscuwVU","0KMCeP1Jsh","dfKe02y8D2","zQWRhDnn8F","vEGLkm4Z2k","BiWNJpBvwn"],"dependent_operators":["W4YGzv6Whe","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","ruOEQAzv1W","nhYeJWJD5X","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4382","layer":4},{"info":"compute unary expreesion, input=4382, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-4109","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=4610","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=4610, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2032","layer":3},{"info":"compute binary expreesion, left_input=-4109, right_input=2032, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=nan","layer":1},{"info":"number node, value=6512","layer":4},{"info":"number node, value=1871","layer":4},{"info":"compute binary expreesion, left_input=6512, right_input=1871, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2128","layer":4},{"info":"compute unary expreesion, input=2128, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-625537","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-625537, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1550","layer":2},{"info":"number node, value=1553","layer":4},{"info":"number node, value=4949","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=4949, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4003","layer":3},{"info":"compute unary expreesion, input=4003, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=1550, right_input=868, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3261692","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3261692, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⩷⨜⫀⊺⇮4382)⪁⊺⇮1016⋻⩜⩜⊺⇮4610)↑)*((⊺⇮6512⫚↹⊑⊺⇮1871)≨(⋣⊺⇮2128))≴⪞⇿(⨙⪌(⊺⇮1553⩍⋽⫝̸⊺⇮4949))=NaN","reverse_text":"NaN=(((⩷⨜⫀⊺⇮4382)⪁⊺⇮1016⋻⩜⩜⊺⇮4610)↑)*((⊺⇮6512⫚↹⊑⊺⇮1871)≨(⋣⊺⇮2128))≴⪞⇿(⨙⪌(⊺⇮1553⩍⋽⫝̸⊺⇮4949))","cot":[{"info":"⩷⨜⫀⊺⇮4382=⊺⇮-4109","layer":3},{"info":"⊺⇮1016⋻⩜⩜⊺⇮4610=⊺⇮2032","layer":3},{"info":"⊺⇮-4109⪁⊺⇮2032=NaN","layer":2},{"info":"NaN↑=NaN","layer":1},{"info":"⊺⇮6512⫚↹⊑⊺⇮1871=⊺⇮-447","layer":3},{"info":"⋣⊺⇮2128=⊺⇮-625537","layer":3},{"info":"⊺⇮-447≨⊺⇮-625537=⊺⇮1550","layer":2},{"info":"⊺⇮1553⩍⋽⫝̸⊺⇮4949=⊺⇮4003","layer":3},{"info":"⨙⪌⊺⇮4003=⊺⇮868","layer":2},{"info":"⊺⇮1550≴⪞⇿⊺⇮868=⊺⇮3261692","layer":1},{"info":"NaN*⊺⇮3261692=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"(((⊗$1757$)⨲)⪁(⊲⪭$1979$)⨎$2088$⪘⫢$3095$)⊉↱≁(($4941$⋭≵$2593$)⪚($1270$⊬⨰$1649$)⊋≦⊧($1710$⇻⋧≁$4887$⫑))","expression":"(((⊗⊺⇮1757)⨲)⪁(⊲⪭⊺⇮1979)⨎⊺⇮2088⪘⫢⊺⇮3095)⊉↱≁((⊺⇮4941⋭≵⊺⇮2593)⪚(⊺⇮1270⊬⨰⊺⇮1649)⊋≦⊧(⊺⇮1710⇻⋧≁⊺⇮4887⫑))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11834,"operation_count":13,"complexity_ratio":910.3076923076923,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1757,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1979,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2088,"base":10},"right_expr":{"type":"numeric_atoms","value":3095,"base":10}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4941,"base":10},"right_expr":{"type":"numeric_atoms","value":2593,"base":10}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1270,"base":10},"right_expr":{"type":"numeric_atoms","value":1649,"base":10}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1710,"base":10},"right_expr":{"type":"numeric_atoms","value":4887,"base":10}}}}},"used_operators":["w2P8NbNXyL","I7sXao9hZE","nLYMGWM7L8","RhiyfpczSx","rJVOvQCfKK","k7HXdKtiEU","oacrs7FA3X","oRDoc9rAEX","HrjLwUk87U","jBncVCNhdl","s3Fd5m9Dh2","CgIo77xlM2","jCPkEVoL5K"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","i8ToyICDmI","xUOZtlo3hN","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1757","layer":4},{"info":"compute unary expreesion, input=1757, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3514","layer":3},{"info":"compute unary expreesion, input=-3514, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2153","layer":3},{"info":"number node, value=2088","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=3095, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4052","layer":3},{"info":"compute binary expreesion, left_input=-2153, right_input=4052, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4052","layer":2},{"info":"compute binary expreesion, left_input=4683709, right_input=4052, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=4941","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=4941, right_input=2593, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1270","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=1649, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6810","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=6810, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-13842","layer":2},{"info":"number node, value=1710","layer":4},{"info":"number node, value=4887","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=4887, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=-13842, right_input=3979, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊗⊺⇮1757)⨲)⪁(⊲⪭⊺⇮1979)⨎⊺⇮2088⪘⫢⊺⇮3095)⊉↱≁((⊺⇮4941⋭≵⊺⇮2593)⪚(⊺⇮1270⊬⨰⊺⇮1649)⊋≦⊧(⊺⇮1710⇻⋧≁⊺⇮4887⫑))=NaN","reverse_text":"NaN=(((⊗⊺⇮1757)⨲)⪁(⊲⪭⊺⇮1979)⨎⊺⇮2088⪘⫢⊺⇮3095)⊉↱≁((⊺⇮4941⋭≵⊺⇮2593)⪚(⊺⇮1270⊬⨰⊺⇮1649)⊋≦⊧(⊺⇮1710⇻⋧≁⊺⇮4887⫑))","cot":[{"info":"⊗⊺⇮1757=⊺⇮-3514","layer":3},{"info":"⊺⇮-3514⨲=⊺⇮4683709","layer":2},{"info":"⊲⪭⊺⇮1979=⊺⇮-2153","layer":3},{"info":"⊺⇮2088⪘⫢⊺⇮3095=⊺⇮4052","layer":3},{"info":"⊺⇮-2153⨎⊺⇮4052=⊺⇮4052","layer":2},{"info":"⊺⇮4683709⪁⊺⇮4052=NaN","layer":1},{"info":"⊺⇮4941⋭≵⊺⇮2593=⊺⇮67","layer":3},{"info":"⊺⇮1270⊬⨰⊺⇮1649=⊺⇮6810","layer":3},{"info":"⊺⇮67⪚⊺⇮6810=⊺⇮-13842","layer":2},{"info":"⊺⇮1710⇻⋧≁⊺⇮4887=⊺⇮-447","layer":3},{"info":"⊺⇮-447⫑=⊺⇮3979","layer":2},{"info":"⊺⇮-13842⊋≦⊧⊺⇮3979=⊺⇮192","layer":1},{"info":"NaN⊉↱≁⊺⇮192=NaN","layer":0}]}
{"id":69,"expression_no_base_symbol":"(⩒∊$1197$⫁$1832$)⨂≜(⇋↷($4832$⪶≀⋏$1090$))↯⫤","expression":"(⩒∊⊺⇮1197⫁⊺⇮1832)⨂≜(⇋↷(⊺⇮4832⪶≀⋏⊺⇮1090))↯⫤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":611,"operation_count":6,"complexity_ratio":101.83333333333333,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1197,"base":10},"right_expr":{"type":"numeric_atoms","value":1832,"base":10}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4832,"base":10},"right_expr":{"type":"numeric_atoms","value":1090,"base":10}}}}},"used_operators":["VwlE7vj6HS","k1SHOSEABc","qazvmhNBbN","0ajvFaJAv0","SWo3A1KBJH","zR4jO40bMj"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","cHh1gJQ2o6","AHs5Up7iyr","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1197","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1832, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-437","layer":2},{"info":"number node, value=4832","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=4832, right_input=1090, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-16908","layer":3},{"info":"compute unary expreesion, input=-16908, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-66992","layer":2},{"info":"compute binary expreesion, left_input=-437, right_input=-66992, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩒∊⊺⇮1197⫁⊺⇮1832)⨂≜(⇋↷(⊺⇮4832⪶≀⋏⊺⇮1090))↯⫤=NaN","reverse_text":"NaN=(⩒∊⊺⇮1197⫁⊺⇮1832)⨂≜(⇋↷(⊺⇮4832⪶≀⋏⊺⇮1090))↯⫤","cot":[{"info":"⊺⇮1197⫁⊺⇮1832=⊺⇮160","layer":3},{"info":"⩒∊⊺⇮160=⊺⇮-437","layer":2},{"info":"⊺⇮4832⪶≀⋏⊺⇮1090=⊺⇮-16908","layer":3},{"info":"⇋↷⊺⇮-16908=⊺⇮-66992","layer":2},{"info":"⊺⇮-437⨂≜⊺⇮-66992=NaN","layer":1},{"info":"NaN↯⫤=NaN","layer":0}]}
{"id":70,"expression_no_base_symbol":"⊑($3573$⨑⩅≇$3070$≀⩗∶$1342$⨚⇆$5387$↱(≛$4292$⇮⋭$3563$))","expression":"⊑(⊺⇮3573⨑⩅≇⊺⇮3070≀⩗∶⊺⇮1342⨚⇆⊺⇮5387↱(≛⊺⇮4292⇮⋭⊺⇮3563))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":13095,"operation_count":7,"complexity_ratio":1870.7142857142858,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3573,"base":10},"right_expr":{"type":"numeric_atoms","value":3070,"base":10}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1342,"base":10},"right_expr":{"type":"numeric_atoms","value":5387,"base":10}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4292,"base":10},"right_expr":{"type":"numeric_atoms","value":3563,"base":10}}}}},"used_operators":["IkUmn0D7oy","SR5kFfdi6N","8INZBEW696","h92wMvzauj","lwHaAYXP2r","W7eaUhjymW","vkpjKywKVM"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⊺⇮192","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3573","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=3573, right_input=3070, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-10719","layer":3},{"info":"number node, value=1342","layer":4},{"info":"number node, value=5387","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=5387, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10719, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"number node, value=4292","layer":4},{"info":"number node, value=3563","layer":4},{"info":"compute binary expreesion, left_input=4292, right_input=3563, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-1183","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1183, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=5848","layer":1},{"info":"compute unary expreesion, input=5848, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":10,"result_base":10,"text":"⊑(⊺⇮3573⨑⩅≇⊺⇮3070≀⩗∶⊺⇮1342⨚⇆⊺⇮5387↱(≛⊺⇮4292⇮⋭⊺⇮3563))=⊺⇮192","reverse_text":"⊺⇮192=⊑(⊺⇮3573⨑⩅≇⊺⇮3070≀⩗∶⊺⇮1342⨚⇆⊺⇮5387↱(≛⊺⇮4292⇮⋭⊺⇮3563))","cot":[{"info":"⊺⇮3573⨑⩅≇⊺⇮3070=⊺⇮-10719","layer":3},{"info":"⊺⇮1342⨚⇆⊺⇮5387=NaN","layer":3},{"info":"⊺⇮-10719≀⩗∶NaN=NaN","layer":2},{"info":"⊺⇮4292⇮⋭⊺⇮3563=⊺⇮-473","layer":3},{"info":"≛⊺⇮-473=⊺⇮-1183","layer":2},{"info":"NaN↱⊺⇮-1183=⊺⇮5848","layer":1},{"info":"⊑⊺⇮5848=⊺⇮192","layer":0}]}
{"id":71,"expression_no_base_symbol":"((⊄⩳↩$8326$⪟⇏$1544$)⨰($1187$∛$2746$⫲))⊋(⨈⫕$4862$⪔⊥$3001$⩵∡$5387$⨻⩈⩔$2401$)","expression":"((⊄⩳↩⊺⇮8326⪟⇏⊺⇮1544)⨰(⊺⇮1187∛⊺⇮2746⫲))⊋(⨈⫕⊺⇮4862⪔⊥⊺⇮3001⩵∡⊺⇮5387⨻⩈⩔⊺⇮2401)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":726,"operation_count":10,"complexity_ratio":72.6,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":8326,"base":10},"right_expr":{"type":"numeric_atoms","value":1544,"base":10}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1187,"base":10},"right_expr":{"type":"numeric_atoms","value":2746,"base":10}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4862,"base":10},"right_expr":{"type":"numeric_atoms","value":3001,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5387,"base":10},"right_expr":{"type":"numeric_atoms","value":2401,"base":10}}}}},"used_operators":["W4tP9CfskL","eewbuw0ToL","8w2t5hMYqp","GODebY97qR","9xnGDUPbC6","w2537kitQq","megm06wKyl","Y7wcNGrDQJ","HJ9erzHUuu","nEsXyWgiOK"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⊺⇮-5874","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8326","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=8326, right_input=1544, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3","layer":2},{"info":"number node, value=1187","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=2746, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1219","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=1219, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1206","layer":1},{"info":"number node, value=4862","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=4862, right_input=3001, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=13247","layer":3},{"info":"number node, value=5387","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=5387, right_input=2401, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=34695","layer":3},{"info":"compute binary expreesion, left_input=13247, right_input=34695, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=8080","layer":2},{"info":"compute unary expreesion, input=8080, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=-1206, right_input=-21, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5874","layer":0}],"base":10,"result_base":10,"text":"((⊄⩳↩⊺⇮8326⪟⇏⊺⇮1544)⨰(⊺⇮1187∛⊺⇮2746⫲))⊋(⨈⫕⊺⇮4862⪔⊥⊺⇮3001⩵∡⊺⇮5387⨻⩈⩔⊺⇮2401)=⊺⇮-5874","reverse_text":"⊺⇮-5874=((⊄⩳↩⊺⇮8326⪟⇏⊺⇮1544)⨰(⊺⇮1187∛⊺⇮2746⫲))⊋(⨈⫕⊺⇮4862⪔⊥⊺⇮3001⩵∡⊺⇮5387⨻⩈⩔⊺⇮2401)","cot":[{"info":"⊺⇮8326⪟⇏⊺⇮1544=⊺⇮-1","layer":3},{"info":"⊄⩳↩⊺⇮-1=⊺⇮3","layer":2},{"info":"⊺⇮1187∛⊺⇮2746=⊺⇮-670","layer":3},{"info":"⊺⇮-670⫲=⊺⇮1219","layer":2},{"info":"⊺⇮3⨰⊺⇮1219=⊺⇮-1206","layer":1},{"info":"⊺⇮4862⪔⊥⊺⇮3001=⊺⇮13247","layer":3},{"info":"⊺⇮5387⨻⩈⩔⊺⇮2401=⊺⇮34695","layer":3},{"info":"⊺⇮13247⩵∡⊺⇮34695=⊺⇮8080","layer":2},{"info":"⨈⫕⊺⇮8080=⊺⇮-21","layer":1},{"info":"⊺⇮-1206⊋⊺⇮-21=⊺⇮-5874","layer":0}]}
{"id":72,"expression_no_base_symbol":"((⋼∭⪍$3964$)⇴∐$1980$≎⪠$2244$)≁↽≥(≦∁(⪭⩑⪱$2143$))⇣⩺⋵(↩(∟⋨$8108$))≄⊠(⇾⩊⇾$1746$)⨽∌(⩷⨜⫀$5349$)","expression":"((⋼∭⪍⊺⇮3964)⇴∐⊺⇮1980≎⪠⊺⇮2244)≁↽≥(≦∁(⪭⩑⪱⊺⇮2143))⇣⩺⋵(↩(∟⋨⊺⇮8108))≄⊠(⇾⩊⇾⊺⇮1746)⨽∌(⩷⨜⫀⊺⇮5349)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":259063,"operation_count":13,"complexity_ratio":19927.923076923078,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3964,"base":10}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1980,"base":10},"right_expr":{"type":"numeric_atoms","value":2244,"base":10}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2143,"base":10}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":8108,"base":10}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1746,"base":10}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":5349,"base":10}}}}},"used_operators":["F4yD0voBRQ","ncHt1X6cMc","HnzytWxmAO","DbCuESL50I","aNhz54LH3e","9ICcGScMcE","SIgE0bArFf","vXNesLlMH1","jLgFTUHLKL","ctOc4cKSDt","9samAPKr6k","bx9Z9DAK5y","CDi0ktkjQ4"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","oWn0xqSxBt","3Oe9XWJUTD","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","tmPS8pqC7x","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X"],"result":"⊺⇮-260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3964","layer":4},{"info":"compute unary expreesion, input=3964, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-14116","layer":3},{"info":"number node, value=1980","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=1980, right_input=2244, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-14116, right_input=19558, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=2143","layer":4},{"info":"compute unary expreesion, input=2143, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=8320752, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=8192","layer":1},{"info":"number node, value=8108","layer":4},{"info":"compute unary expreesion, input=8108, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-7624","layer":3},{"info":"compute unary expreesion, input=-7624, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=33116","layer":2},{"info":"number node, value=1746","layer":4},{"info":"compute unary expreesion, input=1746, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-22200","layer":3},{"info":"number node, value=5349","layer":4},{"info":"compute unary expreesion, input=5349, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-5076","layer":3},{"info":"compute binary expreesion, left_input=-22200, right_input=-5076, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=33116, right_input=0, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=8192, right_input=1500, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":10,"result_base":10,"text":"((⋼∭⪍⊺⇮3964)⇴∐⊺⇮1980≎⪠⊺⇮2244)≁↽≥(≦∁(⪭⩑⪱⊺⇮2143))⇣⩺⋵(↩(∟⋨⊺⇮8108))≄⊠(⇾⩊⇾⊺⇮1746)⨽∌(⩷⨜⫀⊺⇮5349)=⊺⇮-260","reverse_text":"⊺⇮-260=((⋼∭⪍⊺⇮3964)⇴∐⊺⇮1980≎⪠⊺⇮2244)≁↽≥(≦∁(⪭⩑⪱⊺⇮2143))⇣⩺⋵(↩(∟⋨⊺⇮8108))≄⊠(⇾⩊⇾⊺⇮1746)⨽∌(⩷⨜⫀⊺⇮5349)","cot":[{"info":"⋼∭⪍⊺⇮3964=⊺⇮-14116","layer":3},{"info":"⊺⇮1980≎⪠⊺⇮2244=⊺⇮19558","layer":3},{"info":"⊺⇮-14116⇴∐⊺⇮19558=⊺⇮-116","layer":2},{"info":"⪭⩑⪱⊺⇮2143=⊺⇮8320752","layer":3},{"info":"≦∁⊺⇮8320752=⊺⇮8320752","layer":2},{"info":"⊺⇮-116≁↽≥⊺⇮8320752=⊺⇮8192","layer":1},{"info":"∟⋨⊺⇮8108=⊺⇮-7624","layer":3},{"info":"↩⊺⇮-7624=⊺⇮33116","layer":2},{"info":"⇾⩊⇾⊺⇮1746=⊺⇮-22200","layer":3},{"info":"⩷⨜⫀⊺⇮5349=⊺⇮-5076","layer":3},{"info":"⊺⇮-22200⨽∌⊺⇮-5076=⊺⇮0","layer":2},{"info":"⊺⇮33116≄⊠⊺⇮0=⊺⇮1500","layer":1},{"info":"⊺⇮8192⇣⩺⋵⊺⇮1500=⊺⇮-260","layer":0}]}
{"id":73,"expression_no_base_symbol":"((($4646$⨶)⋩≍≻)⇣⩺⋵($1212$⩺⪪$6895$≬⋮$1022$⫘$3517$))⊮⊟↴(($7794$∝$3155$)⫰⋱($4075$∪⫐$2360$)↺$4706$⇡⇂$1676$⩚⊴⇥$5532$⪚$3386$)","expression":"(((⊺⇮4646⨶)⋩≍≻)⇣⩺⋵(⊺⇮1212⩺⪪⊺⇮6895≬⋮⊺⇮1022⫘⊺⇮3517))⊮⊟↴((⊺⇮7794∝⊺⇮3155)⫰⋱(⊺⇮4075∪⫐⊺⇮2360)↺⊺⇮4706⇡⇂⊺⇮1676⩚⊴⇥⊺⇮5532⪚⊺⇮3386)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":10281,"operation_count":14,"complexity_ratio":734.3571428571429,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":4646,"base":10}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1212,"base":10},"right_expr":{"type":"numeric_atoms","value":6895,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1022,"base":10},"right_expr":{"type":"numeric_atoms","value":3517,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":7794,"base":10},"right_expr":{"type":"numeric_atoms","value":3155,"base":10}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4075,"base":10},"right_expr":{"type":"numeric_atoms","value":2360,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4706,"base":10},"right_expr":{"type":"numeric_atoms","value":1676,"base":10}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5532,"base":10},"right_expr":{"type":"numeric_atoms","value":3386,"base":10}}}}},"used_operators":["QDVgd2eftb","F4yD0voBRQ","WYd1w68Nbz","rFxw8gIMmB","kbkesczE7y","uvdQJvN4PV","48vC8HMD2b","7j4O788W3g","6o9Blt3TJ6","cTDWOvIxvz","7YooWSwCyH","NTOWxs364D","UMwdvZNt44","HrjLwUk87U"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","f6k1SAg4EE","Qy55tPpLXF","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4646","layer":4},{"info":"compute unary expreesion, input=4646, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=7546","layer":3},{"info":"compute unary expreesion, input=7546, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":2},{"info":"number node, value=1212","layer":4},{"info":"number node, value=6895","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=6895, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=3517, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1206277","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=1206277, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=868, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1894","layer":1},{"info":"number node, value=7794","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=7794, right_input=3155, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=7799","layer":3},{"info":"number node, value=4075","layer":4},{"info":"number node, value=2360","layer":4},{"info":"compute binary expreesion, left_input=4075, right_input=2360, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4075","layer":3},{"info":"compute binary expreesion, left_input=7799, right_input=4075, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-7766","layer":2},{"info":"number node, value=4706","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=4706, right_input=1676, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=5532","layer":4},{"info":"number node, value=3386","layer":4},{"info":"compute binary expreesion, left_input=5532, right_input=3386, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3936","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3936, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7766, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1894, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮4646⨶)⋩≍≻)⇣⩺⋵(⊺⇮1212⩺⪪⊺⇮6895≬⋮⊺⇮1022⫘⊺⇮3517))⊮⊟↴((⊺⇮7794∝⊺⇮3155)⫰⋱(⊺⇮4075∪⫐⊺⇮2360)↺⊺⇮4706⇡⇂⊺⇮1676⩚⊴⇥⊺⇮5532⪚⊺⇮3386)=NaN","reverse_text":"NaN=(((⊺⇮4646⨶)⋩≍≻)⇣⩺⋵(⊺⇮1212⩺⪪⊺⇮6895≬⋮⊺⇮1022⫘⊺⇮3517))⊮⊟↴((⊺⇮7794∝⊺⇮3155)⫰⋱(⊺⇮4075∪⫐⊺⇮2360)↺⊺⇮4706⇡⇂⊺⇮1676⩚⊴⇥⊺⇮5532⪚⊺⇮3386)","cot":[{"info":"⊺⇮4646⨶=⊺⇮7546","layer":3},{"info":"⊺⇮7546⋩≍≻=⊺⇮-55","layer":2},{"info":"⊺⇮1212⩺⪪⊺⇮6895=⊺⇮-1818","layer":3},{"info":"⊺⇮1022⫘⊺⇮3517=⊺⇮1206277","layer":3},{"info":"⊺⇮-1818≬⋮⊺⇮1206277=⊺⇮868","layer":2},{"info":"⊺⇮-55⇣⩺⋵⊺⇮868=⊺⇮-1894","layer":1},{"info":"⊺⇮7794∝⊺⇮3155=⊺⇮7799","layer":3},{"info":"⊺⇮4075∪⫐⊺⇮2360=⊺⇮4075","layer":3},{"info":"⊺⇮7799⫰⋱⊺⇮4075=⊺⇮-7766","layer":2},{"info":"⊺⇮4706⇡⇂⊺⇮1676=NaN","layer":3},{"info":"⊺⇮5532⪚⊺⇮3386=⊺⇮3936","layer":3},{"info":"NaN⩚⊴⇥⊺⇮3936=NaN","layer":2},{"info":"⊺⇮-7766↺NaN=NaN","layer":1},{"info":"⊺⇮-1894⊮⊟↴NaN=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"≛($1389$⋘⨑⨽)⨻⩈⩔($2271$⨔≚≋$1646$)≎⊠⪸($1535$⋹⋡⊁$6711$≥⨤⩑($5355$⫥∨⫟$8487$))","expression":"≛(⊺⇮1389⋘⨑⨽)⨻⩈⩔(⊺⇮2271⨔≚≋⊺⇮1646)≎⊠⪸(⊺⇮1535⋹⋡⊁⊺⇮6711≥⨤⩑(⊺⇮5355⫥∨⫟⊺⇮8487))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":63165,"operation_count":8,"complexity_ratio":7895.625,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":1389,"base":10}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2271,"base":10},"right_expr":{"type":"numeric_atoms","value":1646,"base":10}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1535,"base":10},"right_expr":{"type":"numeric_atoms","value":6711,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5355,"base":10},"right_expr":{"type":"numeric_atoms","value":8487,"base":10}}}}},"used_operators":["W7eaUhjymW","bJkvcejdHO","nEsXyWgiOK","WmT3o8z6ya","Z57zeUYC9z","gJLn6v0xnP","As8RqfVLgs","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⊺⇮-10","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1389","layer":4},{"info":"compute unary expreesion, input=1389, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=7728","layer":3},{"info":"number node, value=2271","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=1646, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=7728, right_input=9872, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=53423","layer":2},{"info":"number node, value=1535","layer":4},{"info":"number node, value=6711","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=6711, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7461","layer":3},{"info":"number node, value=5355","layer":4},{"info":"number node, value=8487","layer":4},{"info":"compute binary expreesion, left_input=5355, right_input=8487, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7461, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=53423, right_input=1234, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=13836084","layer":1},{"info":"compute unary expreesion, input=13836084, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":0}],"base":10,"result_base":10,"text":"≛(⊺⇮1389⋘⨑⨽)⨻⩈⩔(⊺⇮2271⨔≚≋⊺⇮1646)≎⊠⪸(⊺⇮1535⋹⋡⊁⊺⇮6711≥⨤⩑(⊺⇮5355⫥∨⫟⊺⇮8487))=⊺⇮-10","reverse_text":"⊺⇮-10=≛(⊺⇮1389⋘⨑⨽)⨻⩈⩔(⊺⇮2271⨔≚≋⊺⇮1646)≎⊠⪸(⊺⇮1535⋹⋡⊁⊺⇮6711≥⨤⩑(⊺⇮5355⫥∨⫟⊺⇮8487))","cot":[{"info":"⊺⇮1389⋘⨑⨽=⊺⇮7728","layer":3},{"info":"⊺⇮2271⨔≚≋⊺⇮1646=⊺⇮9872","layer":3},{"info":"⊺⇮7728⨻⩈⩔⊺⇮9872=⊺⇮53423","layer":2},{"info":"⊺⇮1535⋹⋡⊁⊺⇮6711=⊺⇮7461","layer":3},{"info":"⊺⇮5355⫥∨⫟⊺⇮8487=NaN","layer":3},{"info":"⊺⇮7461≥⨤⩑NaN=⊺⇮1234","layer":2},{"info":"⊺⇮53423≎⊠⪸⊺⇮1234=⊺⇮13836084","layer":1},{"info":"≛⊺⇮13836084=⊺⇮-10","layer":0}]}
{"id":75,"expression_no_base_symbol":"($4262$⊴$2562$)⪥($5827$⇷$1004$)∇⊂⋱($2226$⊱⇼⊻$1341$)⩁⩘($1323$⩍⋽⫝̸$1334$)⋳⪒($8485$⋭≵$5866$)⊹∫⫚($3223$∝$5170$)⊨((⨛$4671$)⨭⪣$2923$⇍⊗$7366$)","expression":"(⊺⇮4262⊴⊺⇮2562)⪥(⊺⇮5827⇷⊺⇮1004)∇⊂⋱(⊺⇮2226⊱⇼⊻⊺⇮1341)⩁⩘(⊺⇮1323⩍⋽⫝̸⊺⇮1334)⋳⪒(⊺⇮8485⋭≵⊺⇮5866)⊹∫⫚(⊺⇮3223∝⊺⇮5170)⊨((⨛⊺⇮4671)⨭⪣⊺⇮2923⇍⊗⊺⇮7366)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":87442,"operation_count":15,"complexity_ratio":5829.466666666666,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4262,"base":10},"right_expr":{"type":"numeric_atoms","value":2562,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5827,"base":10},"right_expr":{"type":"numeric_atoms","value":1004,"base":10}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2226,"base":10},"right_expr":{"type":"numeric_atoms","value":1341,"base":10}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1323,"base":10},"right_expr":{"type":"numeric_atoms","value":1334,"base":10}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":8485,"base":10},"right_expr":{"type":"numeric_atoms","value":5866,"base":10}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3223,"base":10},"right_expr":{"type":"numeric_atoms","value":5170,"base":10}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":4671,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2923,"base":10},"right_expr":{"type":"numeric_atoms","value":7366,"base":10}}}}},"used_operators":["12rbrZMWeM","nhYeJWJD5X","QbnwKVWMIQ","Nsiff2A1zJ","mp7IySMOzn","gub5Cegaqo","FyVja0WsTP","BiWNJpBvwn","vg4gO5BX6G","uWAJUKEvyW","jBncVCNhdl","cTDWOvIxvz","kn8WO9XteQ","CoMdbyAt7R","5uvYHDjeKN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4262","layer":4},{"info":"number node, value=2562","layer":4},{"info":"compute binary expreesion, left_input=4262, right_input=2562, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5827","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=5827, right_input=1004, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2008","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2008, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":2},{"info":"number node, value=2226","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=1341, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1323","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=1334, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=388","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=388, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=2500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2500, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=8485","layer":4},{"info":"number node, value=5866","layer":4},{"info":"compute binary expreesion, left_input=8485, right_input=5866, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=3223","layer":4},{"info":"number node, value=5170","layer":4},{"info":"compute binary expreesion, left_input=3223, right_input=5170, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3228","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=3228, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-156","layer":2},{"info":"number node, value=4671","layer":4},{"info":"compute unary expreesion, input=4671, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=2923","layer":4},{"info":"number node, value=7366","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=7366, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-156, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4262⊴⊺⇮2562)⪥(⊺⇮5827⇷⊺⇮1004)∇⊂⋱(⊺⇮2226⊱⇼⊻⊺⇮1341)⩁⩘(⊺⇮1323⩍⋽⫝̸⊺⇮1334)⋳⪒(⊺⇮8485⋭≵⊺⇮5866)⊹∫⫚(⊺⇮3223∝⊺⇮5170)⊨((⨛⊺⇮4671)⨭⪣⊺⇮2923⇍⊗⊺⇮7366)=NaN","reverse_text":"NaN=(⊺⇮4262⊴⊺⇮2562)⪥(⊺⇮5827⇷⊺⇮1004)∇⊂⋱(⊺⇮2226⊱⇼⊻⊺⇮1341)⩁⩘(⊺⇮1323⩍⋽⫝̸⊺⇮1334)⋳⪒(⊺⇮8485⋭≵⊺⇮5866)⊹∫⫚(⊺⇮3223∝⊺⇮5170)⊨((⨛⊺⇮4671)⨭⪣⊺⇮2923⇍⊗⊺⇮7366)","cot":[{"info":"⊺⇮4262⊴⊺⇮2562=NaN","layer":3},{"info":"⊺⇮5827⇷⊺⇮1004=⊺⇮2008","layer":3},{"info":"NaN⪥⊺⇮2008=NaN","layer":2},{"info":"⊺⇮2226⊱⇼⊻⊺⇮1341=⊺⇮434","layer":3},{"info":"⊺⇮1323⩍⋽⫝̸⊺⇮1334=⊺⇮388","layer":3},{"info":"⊺⇮434⩁⩘⊺⇮388=⊺⇮2500","layer":2},{"info":"NaN∇⊂⋱⊺⇮2500=NaN","layer":1},{"info":"⊺⇮8485⋭≵⊺⇮5866=⊺⇮67","layer":3},{"info":"⊺⇮3223∝⊺⇮5170=⊺⇮3228","layer":3},{"info":"⊺⇮67⊹∫⫚⊺⇮3228=⊺⇮-156","layer":2},{"info":"⨛⊺⇮4671=NaN","layer":3},{"info":"⊺⇮2923⇍⊗⊺⇮7366=⊺⇮-244","layer":3},{"info":"NaN⨭⪣⊺⇮-244=NaN","layer":2},{"info":"⊺⇮-156⊨NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"⋼∭⪍($3116$⪢$2226$+⇶⊼$4058$⊉↱≁$5063$⋅⇍(⊵⊁(⫓⪴$1022$)))","expression":"⋼∭⪍(⊺⇮3116⪢⊺⇮2226+⇶⊼⊺⇮4058⊉↱≁⊺⇮5063⋅⇍(⊵⊁(⫓⪴⊺⇮1022)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5183,"operation_count":7,"complexity_ratio":740.4285714285714,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3116,"base":10},"right_expr":{"type":"numeric_atoms","value":2226,"base":10}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4058,"base":10},"right_expr":{"type":"numeric_atoms","value":5063,"base":10}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1022,"base":10}}}}},"used_operators":["DbCuESL50I","AdZkA7nFnk","TpPTUOHfaN","dWAJyo7jo9","w2P8NbNXyL","AvED76WdY7","eLxqMNBOBk"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AHs5Up7iyr","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","uBihLCJcMX","k8jYdgA6NY","9HNa5Wba9A"],"result":"⊺⇮858","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3116","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=3116, right_input=2226, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4058","layer":4},{"info":"number node, value=5063","layer":4},{"info":"compute binary expreesion, left_input=4058, right_input=5063, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=9088","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9088, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1044484","layer":3},{"info":"compute unary expreesion, input=1044484, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=6265834","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6265834, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=858","layer":0}],"base":10,"result_base":10,"text":"⋼∭⪍(⊺⇮3116⪢⊺⇮2226+⇶⊼⊺⇮4058⊉↱≁⊺⇮5063⋅⇍(⊵⊁(⫓⪴⊺⇮1022)))=⊺⇮858","reverse_text":"⊺⇮858=⋼∭⪍(⊺⇮3116⪢⊺⇮2226+⇶⊼⊺⇮4058⊉↱≁⊺⇮5063⋅⇍(⊵⊁(⫓⪴⊺⇮1022)))","cot":[{"info":"⊺⇮3116⪢⊺⇮2226=NaN","layer":3},{"info":"⊺⇮4058⊉↱≁⊺⇮5063=⊺⇮9088","layer":3},{"info":"NaN+⇶⊼⊺⇮9088=NaN","layer":2},{"info":"⫓⪴⊺⇮1022=⊺⇮1044484","layer":3},{"info":"⊵⊁⊺⇮1044484=⊺⇮6265834","layer":2},{"info":"NaN⋅⇍⊺⇮6265834=⊺⇮-22","layer":1},{"info":"⋼∭⪍⊺⇮-22=⊺⇮858","layer":0}]}
{"id":77,"expression_no_base_symbol":"($5619$⋹⋡⊁$1187$⩖⊿($2639$↓⨍⋜)⪁($2246$↤⩊$3566$⩤))⩺⪪(($1157$⩇∃⫛$2244$)⊝⪿⪼$1172$↹⊜$1360$≀⩗∶(⊊≼∋$1001$)+⪬∐($4119$⨱∎))","expression":"(⊺⇮5619⋹⋡⊁⊺⇮1187⩖⊿(⊺⇮2639↓⨍⋜)⪁(⊺⇮2246↤⩊⊺⇮3566⩤))⩺⪪((⊺⇮1157⩇∃⫛⊺⇮2244)⊝⪿⪼⊺⇮1172↹⊜⊺⇮1360≀⩗∶(⊊≼∋⊺⇮1001)+⪬∐(⊺⇮4119⨱∎))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":109152,"operation_count":14,"complexity_ratio":7796.571428571428,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5619,"base":10},"right_expr":{"type":"numeric_atoms","value":1187,"base":10}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":2639,"base":10}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2246,"base":10},"right_expr":{"type":"numeric_atoms","value":3566,"base":10}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1157,"base":10},"right_expr":{"type":"numeric_atoms","value":2244,"base":10}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1172,"base":10},"right_expr":{"type":"numeric_atoms","value":1360,"base":10}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1001,"base":10}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":4119,"base":10}}}}},"used_operators":["uvdQJvN4PV","I7sXao9hZE","RZ5CV9rWsJ","As8RqfVLgs","3DVzLFNsE9","Z2TMIBDE3Q","13rbtpv6ld","8INZBEW696","3Oe9XWJUTD","1aApVXNlOP","9bazX3JMtO","2GS7woTJqF","FWz7pXsQhA","MmTdOpaElr"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","g55IO6H4Gj","D4vGDi5EA2","B5M0gjZbta","jCPkEVoL5K","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5619","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=5619, right_input=1187, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1937","layer":3},{"info":"number node, value=2639","layer":4},{"info":"compute unary expreesion, input=2639, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=1937, right_input=6590, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=44890","layer":2},{"info":"number node, value=2246","layer":4},{"info":"number node, value=3566","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=3566, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=44890, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=1157","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=2244, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=1560","layer":3},{"info":"number node, value=1172","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=1360, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-3192","layer":3},{"info":"compute binary expreesion, left_input=1560, right_input=-3192, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=36508","layer":2},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=4119","layer":4},{"info":"compute unary expreesion, input=4119, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=1341","layer":2},{"info":"compute binary expreesion, left_input=36508, right_input=1341, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5619⋹⋡⊁⊺⇮1187⩖⊿(⊺⇮2639↓⨍⋜)⪁(⊺⇮2246↤⩊⊺⇮3566⩤))⩺⪪((⊺⇮1157⩇∃⫛⊺⇮2244)⊝⪿⪼⊺⇮1172↹⊜⊺⇮1360≀⩗∶(⊊≼∋⊺⇮1001)+⪬∐(⊺⇮4119⨱∎))=NaN","reverse_text":"NaN=(⊺⇮5619⋹⋡⊁⊺⇮1187⩖⊿(⊺⇮2639↓⨍⋜)⪁(⊺⇮2246↤⩊⊺⇮3566⩤))⩺⪪((⊺⇮1157⩇∃⫛⊺⇮2244)⊝⪿⪼⊺⇮1172↹⊜⊺⇮1360≀⩗∶(⊊≼∋⊺⇮1001)+⪬∐(⊺⇮4119⨱∎))","cot":[{"info":"⊺⇮5619⋹⋡⊁⊺⇮1187=⊺⇮1937","layer":3},{"info":"⊺⇮2639↓⨍⋜=⊺⇮6590","layer":3},{"info":"⊺⇮1937⩖⊿⊺⇮6590=⊺⇮44890","layer":2},{"info":"⊺⇮2246↤⩊⊺⇮3566=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"⊺⇮44890⪁NaN=NaN","layer":1},{"info":"⊺⇮1157⩇∃⫛⊺⇮2244=⊺⇮1560","layer":3},{"info":"⊺⇮1172↹⊜⊺⇮1360=⊺⇮-3192","layer":3},{"info":"⊺⇮1560⊝⪿⪼⊺⇮-3192=⊺⇮36508","layer":2},{"info":"⊊≼∋⊺⇮1001=⊺⇮-447","layer":3},{"info":"⊺⇮4119⨱∎=⊺⇮0","layer":3},{"info":"⊺⇮-447+⪬∐⊺⇮0=⊺⇮1341","layer":2},{"info":"⊺⇮36508≀⩗∶⊺⇮1341=⊺⇮0","layer":1},{"info":"NaN⩺⪪⊺⇮0=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"↩($2928$⩘$2365$⇴∐$3815$≦↸$4754$)↞⋁($1924$⊭↱$2698$⫦⪉$7029$⊹∫⫚$2414$)","expression":"↩(⊺⇮2928⩘⊺⇮2365⇴∐⊺⇮3815≦↸⊺⇮4754)↞⋁(⊺⇮1924⊭↱⊺⇮2698⫦⪉⊺⇮7029⊹∫⫚⊺⇮2414)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":400,"operation_count":8,"complexity_ratio":50.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2928,"base":10},"right_expr":{"type":"numeric_atoms","value":2365,"base":10}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3815,"base":10},"right_expr":{"type":"numeric_atoms","value":4754,"base":10}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1924,"base":10},"right_expr":{"type":"numeric_atoms","value":2698,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":7029,"base":10},"right_expr":{"type":"numeric_atoms","value":2414,"base":10}}}}},"used_operators":["jLgFTUHLKL","RqrPlJkxDo","HnzytWxmAO","cHh1gJQ2o6","RygbFNSyEJ","wscyQdcy20","COABgblf1C","uWAJUKEvyW"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2928","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=2365, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3815","layer":4},{"info":"number node, value=4754","layer":4},{"info":"compute binary expreesion, left_input=3815, right_input=4754, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-16457","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-16457, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-226","layer":2},{"info":"number node, value=1924","layer":4},{"info":"number node, value=2698","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=2698, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1553","layer":3},{"info":"number node, value=7029","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=7029, right_input=2414, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=1553, right_input=-244, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1794","layer":2},{"info":"compute binary expreesion, left_input=-226, right_input=1794, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↩(⊺⇮2928⩘⊺⇮2365⇴∐⊺⇮3815≦↸⊺⇮4754)↞⋁(⊺⇮1924⊭↱⊺⇮2698⫦⪉⊺⇮7029⊹∫⫚⊺⇮2414)=NaN","reverse_text":"NaN=↩(⊺⇮2928⩘⊺⇮2365⇴∐⊺⇮3815≦↸⊺⇮4754)↞⋁(⊺⇮1924⊭↱⊺⇮2698⫦⪉⊺⇮7029⊹∫⫚⊺⇮2414)","cot":[{"info":"⊺⇮2928⩘⊺⇮2365=⊺⇮160","layer":3},{"info":"⊺⇮3815≦↸⊺⇮4754=⊺⇮-16457","layer":3},{"info":"⊺⇮160⇴∐⊺⇮-16457=⊺⇮-226","layer":2},{"info":"⊺⇮1924⊭↱⊺⇮2698=⊺⇮1553","layer":3},{"info":"⊺⇮7029⊹∫⫚⊺⇮2414=⊺⇮-244","layer":3},{"info":"⊺⇮1553⫦⪉⊺⇮-244=⊺⇮1794","layer":2},{"info":"⊺⇮-226↞⋁⊺⇮1794=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":79,"expression_no_base_symbol":"(⪁⇼($7180$⋛$1017$))⨜⨶(⨭⩧⫛($2364$⪮%⊝$1361$))∥⊢⊲(⫡⇟⇯(⨞⊢($7124$↱$1541$)))","expression":"(⪁⇼(⊺⇮7180⋛⊺⇮1017))⨜⨶(⨭⩧⫛(⊺⇮2364⪮%⊝⊺⇮1361))∥⊢⊲(⫡⇟⇯(⨞⊢(⊺⇮7124↱⊺⇮1541)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":458,"operation_count":9,"complexity_ratio":50.888888888888886,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":7180,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2364,"base":10},"right_expr":{"type":"numeric_atoms","value":1361,"base":10}}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":7124,"base":10},"right_expr":{"type":"numeric_atoms","value":1541,"base":10}}}}},"used_operators":["v1UQAVDJRr","HiPekx5b7W","ZNVVrZ94lY","YbUVn0Rbpy","g21JL6JxX7","IWmyXbctLI","qWUSsah53b","xUOZtlo3hN","SR5kFfdi6N"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⊺⇮8722","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7180","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=7180, right_input=1017, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-67572","layer":3},{"info":"compute unary expreesion, input=-67572, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=2364","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=1361, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5044","layer":3},{"info":"compute unary expreesion, input=5044, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=7124","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=7124, right_input=1541, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-4101","layer":3},{"info":"compute unary expreesion, input=-4101, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=3927","layer":2},{"info":"compute unary expreesion, input=3927, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=8722","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8722, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=8722","layer":0}],"base":10,"result_base":10,"text":"(⪁⇼(⊺⇮7180⋛⊺⇮1017))⨜⨶(⨭⩧⫛(⊺⇮2364⪮%⊝⊺⇮1361))∥⊢⊲(⫡⇟⇯(⨞⊢(⊺⇮7124↱⊺⇮1541)))=⊺⇮8722","reverse_text":"⊺⇮8722=(⪁⇼(⊺⇮7180⋛⊺⇮1017))⨜⨶(⨭⩧⫛(⊺⇮2364⪮%⊝⊺⇮1361))∥⊢⊲(⫡⇟⇯(⨞⊢(⊺⇮7124↱⊺⇮1541)))","cot":[{"info":"⊺⇮7180⋛⊺⇮1017=⊺⇮-67572","layer":3},{"info":"⪁⇼⊺⇮-67572=⊺⇮422","layer":2},{"info":"⊺⇮2364⪮%⊝⊺⇮1361=⊺⇮5044","layer":3},{"info":"⨭⩧⫛⊺⇮5044=NaN","layer":2},{"info":"⊺⇮422⨜⨶NaN=NaN","layer":1},{"info":"⊺⇮7124↱⊺⇮1541=⊺⇮-4101","layer":3},{"info":"⨞⊢⊺⇮-4101=⊺⇮3927","layer":2},{"info":"⫡⇟⇯⊺⇮3927=⊺⇮8722","layer":1},{"info":"NaN∥⊢⊲⊺⇮8722=⊺⇮8722","layer":0}]}
{"id":80,"expression_no_base_symbol":"((↞≼$1647$)⨑⩅≇($1701$⨔≚≋$1258$)≀⩗∶(⩦⊞($3923$⩎⪣⊞)))⇄($1292$⊨$3744$)⪟⇏(⨛$3462$)⪟⇏($3888$≠≀$1432$)⊮⊟↴(↘$2774$)","expression":"((↞≼⊺⇮1647)⨑⩅≇(⊺⇮1701⨔≚≋⊺⇮1258)≀⩗∶(⩦⊞(⊺⇮3923⩎⪣⊞)))⇄(⊺⇮1292⊨⊺⇮3744)⪟⇏(⨛⊺⇮3462)⪟⇏(⊺⇮3888≠≀⊺⇮1432)⊮⊟↴(↘⊺⇮2774)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":65129,"operation_count":14,"complexity_ratio":4652.071428571428,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1647,"base":10}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1701,"base":10},"right_expr":{"type":"numeric_atoms","value":1258,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":3923,"base":10}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1292,"base":10},"right_expr":{"type":"numeric_atoms","value":3744,"base":10}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":3462,"base":10}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3888,"base":10},"right_expr":{"type":"numeric_atoms","value":1432,"base":10}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2774,"base":10}}}}},"used_operators":["3EYGwJThht","8INZBEW696","h92wMvzauj","DE7zCoGJt9","Z57zeUYC9z","u7fv1HBiaC","waWucp1uQ4","GODebY97qR","vg4gO5BX6G","CoMdbyAt7R","QDVgd2eftb","IwW236VD4Y","LdNpr8hQHL"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","mp7IySMOzn","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","uFcxV4UQCh"],"result":"⊺⇮484","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1647","layer":4},{"info":"compute unary expreesion, input=1647, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=12762","layer":3},{"info":"number node, value=1701","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1701, right_input=1258, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=12762, right_input=9872, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-38286","layer":2},{"info":"number node, value=3923","layer":4},{"info":"compute unary expreesion, input=3923, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=7846","layer":3},{"info":"compute unary expreesion, input=7846, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-7573","layer":2},{"info":"compute binary expreesion, left_input=-38286, right_input=-7573, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"number node, value=1292","layer":4},{"info":"number node, value=3744","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=3744, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6199","layer":3},{"info":"number node, value=3462","layer":4},{"info":"compute unary expreesion, input=3462, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6199, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"number node, value=3888","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=3888, right_input=1432, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7470","layer":3},{"info":"number node, value=2774","layer":4},{"info":"compute unary expreesion, input=2774, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=30","layer":3},{"info":"compute binary expreesion, left_input=-7470, right_input=30, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=484","layer":0}],"base":10,"result_base":10,"text":"((↞≼⊺⇮1647)⨑⩅≇(⊺⇮1701⨔≚≋⊺⇮1258)≀⩗∶(⩦⊞(⊺⇮3923⩎⪣⊞)))⇄(⊺⇮1292⊨⊺⇮3744)⪟⇏(⨛⊺⇮3462)⪟⇏(⊺⇮3888≠≀⊺⇮1432)⊮⊟↴(↘⊺⇮2774)=⊺⇮484","reverse_text":"⊺⇮484=((↞≼⊺⇮1647)⨑⩅≇(⊺⇮1701⨔≚≋⊺⇮1258)≀⩗∶(⩦⊞(⊺⇮3923⩎⪣⊞)))⇄(⊺⇮1292⊨⊺⇮3744)⪟⇏(⨛⊺⇮3462)⪟⇏(⊺⇮3888≠≀⊺⇮1432)⊮⊟↴(↘⊺⇮2774)","cot":[{"info":"↞≼⊺⇮1647=⊺⇮12762","layer":3},{"info":"⊺⇮1701⨔≚≋⊺⇮1258=⊺⇮9872","layer":3},{"info":"⊺⇮12762⨑⩅≇⊺⇮9872=⊺⇮-38286","layer":2},{"info":"⊺⇮3923⩎⪣⊞=⊺⇮7846","layer":3},{"info":"⩦⊞⊺⇮7846=⊺⇮-7573","layer":2},{"info":"⊺⇮-38286≀⩗∶⊺⇮-7573=⊺⇮0","layer":1},{"info":"⊺⇮1292⊨⊺⇮3744=⊺⇮6199","layer":3},{"info":"⨛⊺⇮3462=NaN","layer":3},{"info":"⊺⇮6199⪟⇏NaN=⊺⇮-1","layer":2},{"info":"⊺⇮3888≠≀⊺⇮1432=⊺⇮-7470","layer":3},{"info":"↘⊺⇮2774=⊺⇮30","layer":3},{"info":"⊺⇮-7470⊮⊟↴⊺⇮30=⊺⇮0","layer":2},{"info":"⊺⇮-1⪟⇏⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮0⇄⊺⇮0=⊺⇮484","layer":0}]}
{"id":81,"expression_no_base_symbol":"(⊤⊝$1936$)⇻⋧≁($1446$⨐⩸⫘$1471$)⊴($1055$⩣⫁∢$6007$≄⊠($6982$⪭≯$5210$))⫢⨠($1743$∪⫐$1571$)⪒⊣⊆(≘$2409$)⇌⫙⪟($6381$≚⊃≕$6969$)≚⊃≕($2418$≧⫂∧$1112$)","expression":"(⊤⊝⊺⇮1936)⇻⋧≁(⊺⇮1446⨐⩸⫘⊺⇮1471)⊴(⊺⇮1055⩣⫁∢⊺⇮6007≄⊠(⊺⇮6982⪭≯⊺⇮5210))⫢⨠(⊺⇮1743∪⫐⊺⇮1571)⪒⊣⊆(≘⊺⇮2409)⇌⫙⪟(⊺⇮6381≚⊃≕⊺⇮6969)≚⊃≕(⊺⇮2418≧⫂∧⊺⇮1112)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4881,"operation_count":15,"complexity_ratio":325.4,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1936,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1446,"base":10},"right_expr":{"type":"numeric_atoms","value":1471,"base":10}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1055,"base":10},"right_expr":{"type":"numeric_atoms","value":6007,"base":10}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":6982,"base":10},"right_expr":{"type":"numeric_atoms","value":5210,"base":10}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1743,"base":10},"right_expr":{"type":"numeric_atoms","value":1571,"base":10}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2409,"base":10}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":6381,"base":10},"right_expr":{"type":"numeric_atoms","value":6969,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2418,"base":10},"right_expr":{"type":"numeric_atoms","value":1112,"base":10}}}}},"used_operators":["xlXykHWxX1","Nsiff2A1zJ","jCPkEVoL5K","rXAclfmB4M","fu6greOZ01","vXNesLlMH1","JDUIKTTSIa","XAx5wpdLa6","AFVx7xoS7T","eRqsBgTDFp","7YooWSwCyH","tcjXMdvYtA","Bmrmz2XGnR","Ph9nP6C5qx"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","sdazOOVcIp","3ViojmjbAp","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","rJVOvQCfKK","2DDjHMKMc0","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2574","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=1471, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2574, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=6007","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=6007, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1949","layer":3},{"info":"number node, value=6982","layer":4},{"info":"number node, value=5210","layer":4},{"info":"compute binary expreesion, left_input=6982, right_input=5210, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1949, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=1500, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1743","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=1571, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1743","layer":3},{"info":"number node, value=2409","layer":4},{"info":"compute unary expreesion, input=2409, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=5312629","layer":3},{"info":"compute binary expreesion, left_input=1743, right_input=5312629, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3486","layer":2},{"info":"number node, value=6381","layer":4},{"info":"number node, value=6969","layer":4},{"info":"compute binary expreesion, left_input=6381, right_input=6969, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=2418","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1112, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=639","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=639, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-5279","layer":2},{"info":"compute binary expreesion, left_input=3486, right_input=-5279, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=19459","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19459, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊤⊝⊺⇮1936)⇻⋧≁(⊺⇮1446⨐⩸⫘⊺⇮1471)⊴(⊺⇮1055⩣⫁∢⊺⇮6007≄⊠(⊺⇮6982⪭≯⊺⇮5210))⫢⨠(⊺⇮1743∪⫐⊺⇮1571)⪒⊣⊆(≘⊺⇮2409)⇌⫙⪟(⊺⇮6381≚⊃≕⊺⇮6969)≚⊃≕(⊺⇮2418≧⫂∧⊺⇮1112)=NaN","reverse_text":"NaN=(⊤⊝⊺⇮1936)⇻⋧≁(⊺⇮1446⨐⩸⫘⊺⇮1471)⊴(⊺⇮1055⩣⫁∢⊺⇮6007≄⊠(⊺⇮6982⪭≯⊺⇮5210))⫢⨠(⊺⇮1743∪⫐⊺⇮1571)⪒⊣⊆(≘⊺⇮2409)⇌⫙⪟(⊺⇮6381≚⊃≕⊺⇮6969)≚⊃≕(⊺⇮2418≧⫂∧⊺⇮1112)","cot":[{"info":"⊤⊝⊺⇮1936=⊺⇮2574","layer":3},{"info":"⊺⇮1446⨐⩸⫘⊺⇮1471=NaN","layer":3},{"info":"⊺⇮2574⇻⋧≁NaN=⊺⇮-447","layer":2},{"info":"⊺⇮1055⩣⫁∢⊺⇮6007=⊺⇮-1949","layer":3},{"info":"⊺⇮6982⪭≯⊺⇮5210=NaN","layer":3},{"info":"⊺⇮-1949≄⊠NaN=⊺⇮1500","layer":2},{"info":"⊺⇮-447⊴⊺⇮1500=NaN","layer":1},{"info":"⊺⇮1743∪⫐⊺⇮1571=⊺⇮1743","layer":3},{"info":"≘⊺⇮2409=⊺⇮5312629","layer":3},{"info":"⊺⇮1743⪒⊣⊆⊺⇮5312629=⊺⇮3486","layer":2},{"info":"⊺⇮6381≚⊃≕⊺⇮6969=⊺⇮67","layer":3},{"info":"⊺⇮2418≧⫂∧⊺⇮1112=⊺⇮639","layer":3},{"info":"⊺⇮67≚⊃≕⊺⇮639=⊺⇮-5279","layer":2},{"info":"⊺⇮3486⇌⫙⪟⊺⇮-5279=⊺⇮19459","layer":1},{"info":"NaN⫢⨠⊺⇮19459=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"((⩰$2000$)%(≅≯⇸$2109$))∇⊂⋱(⊵⊁($3920$≀⩗∶$3045$))⊉≛↸(($1231$⨲)⋳⪒($1467$∪⫐$5000$))↤⩊($4244$↙$2524$↺(⩦⩻⨪$4379$))","expression":"((⩰⊺⇮2000)%(≅≯⇸⊺⇮2109))∇⊂⋱(⊵⊁(⊺⇮3920≀⩗∶⊺⇮3045))⊉≛↸((⊺⇮1231⨲)⋳⪒(⊺⇮1467∪⫐⊺⇮5000))↤⩊(⊺⇮4244↙⊺⇮2524↺(⩦⩻⨪⊺⇮4379))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":187703,"operation_count":14,"complexity_ratio":13407.357142857143,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2000,"base":10}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2109,"base":10}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3920,"base":10},"right_expr":{"type":"numeric_atoms","value":3045,"base":10}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":1231,"base":10}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1467,"base":10},"right_expr":{"type":"numeric_atoms","value":5000,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4244,"base":10},"right_expr":{"type":"numeric_atoms","value":2524,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4379,"base":10}}}}},"used_operators":["DZ8iAZOCBD","nhYeJWJD5X","k8jYdgA6NY","WkeUrDK8WX","apS25hmuAe","AvED76WdY7","8INZBEW696","13rbtpv6ld","12rbrZMWeM","nLYMGWM7L8","7YooWSwCyH","7j4O788W3g","yyfyN0ffXY","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","EBcxylXtPf","QMFrweE19q","uBihLCJcMX","k8jYdgA6NY","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮51360","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2000","layer":4},{"info":"compute unary expreesion, input=2000, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3000","layer":3},{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=16113","layer":3},{"info":"compute binary expreesion, left_input=-3000, right_input=16113, op_id = k8jYdgA6NY binary_op_definition= 'None', output=13113","layer":2},{"info":"number node, value=3920","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=3920, right_input=3045, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13113, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=25680","layer":1},{"info":"number node, value=1231","layer":4},{"info":"compute unary expreesion, input=1231, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=215448781","layer":3},{"info":"number node, value=1467","layer":4},{"info":"number node, value=5000","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=5000, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1467","layer":3},{"info":"compute binary expreesion, left_input=215448781, right_input=1467, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=430895808","layer":2},{"info":"number node, value=4244","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=4244, right_input=2524, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7572","layer":3},{"info":"number node, value=4379","layer":4},{"info":"compute unary expreesion, input=4379, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4379","layer":3},{"info":"compute binary expreesion, left_input=-7572, right_input=4379, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4379","layer":2},{"info":"compute binary expreesion, left_input=430895808, right_input=4379, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=25680, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=51360","layer":0}],"base":10,"result_base":10,"text":"((⩰⊺⇮2000)%(≅≯⇸⊺⇮2109))∇⊂⋱(⊵⊁(⊺⇮3920≀⩗∶⊺⇮3045))⊉≛↸((⊺⇮1231⨲)⋳⪒(⊺⇮1467∪⫐⊺⇮5000))↤⩊(⊺⇮4244↙⊺⇮2524↺(⩦⩻⨪⊺⇮4379))=⊺⇮51360","reverse_text":"⊺⇮51360=((⩰⊺⇮2000)%(≅≯⇸⊺⇮2109))∇⊂⋱(⊵⊁(⊺⇮3920≀⩗∶⊺⇮3045))⊉≛↸((⊺⇮1231⨲)⋳⪒(⊺⇮1467∪⫐⊺⇮5000))↤⩊(⊺⇮4244↙⊺⇮2524↺(⩦⩻⨪⊺⇮4379))","cot":[{"info":"⩰⊺⇮2000=⊺⇮-3000","layer":3},{"info":"≅≯⇸⊺⇮2109=⊺⇮16113","layer":3},{"info":"⊺⇮-3000%⊺⇮16113=⊺⇮13113","layer":2},{"info":"⊺⇮3920≀⩗∶⊺⇮3045=⊺⇮0","layer":3},{"info":"⊵⊁⊺⇮0=NaN","layer":2},{"info":"⊺⇮13113∇⊂⋱NaN=⊺⇮25680","layer":1},{"info":"⊺⇮1231⨲=⊺⇮215448781","layer":3},{"info":"⊺⇮1467∪⫐⊺⇮5000=⊺⇮1467","layer":3},{"info":"⊺⇮215448781⋳⪒⊺⇮1467=⊺⇮430895808","layer":2},{"info":"⊺⇮4244↙⊺⇮2524=⊺⇮-7572","layer":3},{"info":"⩦⩻⨪⊺⇮4379=⊺⇮4379","layer":3},{"info":"⊺⇮-7572↺⊺⇮4379=⊺⇮4379","layer":2},{"info":"⊺⇮430895808↤⩊⊺⇮4379=NaN","layer":1},{"info":"⊺⇮25680⊉≛↸NaN=⊺⇮51360","layer":0}]}
{"id":83,"expression_no_base_symbol":"($4067$⫘$4730$∠⫱$5864$⨿$1398$)∇⊂⋱($7128$≌$5359$⪐)∙∹∝((⪛⨧$5439$)⇚⪠)→⨶⪴(($1656$⪚⩙≫)⨽$6130$⇍⊗$1019$)","expression":"(⊺⇮4067⫘⊺⇮4730∠⫱⊺⇮5864⨿⊺⇮1398)∇⊂⋱(⊺⇮7128≌⊺⇮5359⪐)∙∹∝((⪛⨧⊺⇮5439)⇚⪠)→⨶⪴((⊺⇮1656⪚⩙≫)⨽⊺⇮6130⇍⊗⊺⇮1019)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22825,"operation_count":13,"complexity_ratio":1755.7692307692307,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4067,"base":10},"right_expr":{"type":"numeric_atoms","value":4730,"base":10}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5864,"base":10},"right_expr":{"type":"numeric_atoms","value":1398,"base":10}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":7128,"base":10},"right_expr":{"type":"numeric_atoms","value":5359,"base":10}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":5439,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":1656,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":6130,"base":10},"right_expr":{"type":"numeric_atoms","value":1019,"base":10}}}}},"used_operators":["HmxsFra2vL","nhYeJWJD5X","QvoQhV0rrE","48vC8HMD2b","abYXlopdE0","eH2TOUuTDT","lyWz822IDG","bF6eod5Gvf","Loh9y4A90B","6NJAcO2OWT","8HhzD0ZcuI","4n53wtyJvv","5uvYHDjeKN"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","8w2t5hMYqp","9FxExcQeMw","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4067","layer":4},{"info":"number node, value=4730","layer":4},{"info":"compute binary expreesion, left_input=4067, right_input=4730, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4787197","layer":3},{"info":"number node, value=5864","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=5864, right_input=1398, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=4787197, right_input=-319, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=4787516","layer":2},{"info":"number node, value=7128","layer":4},{"info":"number node, value=5359","layer":4},{"info":"compute binary expreesion, left_input=7128, right_input=5359, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4787516, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9574486","layer":1},{"info":"number node, value=5439","layer":4},{"info":"compute unary expreesion, input=5439, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=12279","layer":3},{"info":"compute unary expreesion, input=12279, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=301547682","layer":2},{"info":"number node, value=1656","layer":4},{"info":"compute unary expreesion, input=1656, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"number node, value=6130","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=6130, right_input=1019, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=301547682, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9574486, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4067⫘⊺⇮4730∠⫱⊺⇮5864⨿⊺⇮1398)∇⊂⋱(⊺⇮7128≌⊺⇮5359⪐)∙∹∝((⪛⨧⊺⇮5439)⇚⪠)→⨶⪴((⊺⇮1656⪚⩙≫)⨽⊺⇮6130⇍⊗⊺⇮1019)=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮4067⫘⊺⇮4730∠⫱⊺⇮5864⨿⊺⇮1398)∇⊂⋱(⊺⇮7128≌⊺⇮5359⪐)∙∹∝((⪛⨧⊺⇮5439)⇚⪠)→⨶⪴((⊺⇮1656⪚⩙≫)⨽⊺⇮6130⇍⊗⊺⇮1019)","cot":[{"info":"⊺⇮4067⫘⊺⇮4730=⊺⇮4787197","layer":3},{"info":"⊺⇮5864⨿⊺⇮1398=⊺⇮-319","layer":3},{"info":"⊺⇮4787197∠⫱⊺⇮-319=⊺⇮4787516","layer":2},{"info":"⊺⇮7128≌⊺⇮5359=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⊺⇮4787516∇⊂⋱NaN=⊺⇮9574486","layer":1},{"info":"⪛⨧⊺⇮5439=⊺⇮12279","layer":3},{"info":"⊺⇮12279⇚⪠=⊺⇮301547682","layer":2},{"info":"⊺⇮1656⪚⩙≫=NaN","layer":3},{"info":"⊺⇮6130⇍⊗⊺⇮1019=⊺⇮-244","layer":3},{"info":"NaN⨽⊺⇮-244=NaN","layer":2},{"info":"⊺⇮301547682→⨶⪴NaN=NaN","layer":1},{"info":"⊺⇮9574486∙∹∝NaN=⊺⇮0","layer":0}]}
{"id":84,"expression_no_base_symbol":"((↡($1363$⫳≱↱$2673$))≬⇓($9333$⇂≾⫗$2426$)⪃⊛⇣($4218$∳⫺$1377$))⪡(($1009$⫒⫫$4042$)⨐($4397$⊱⇼⊻$3500$)⪊≅)","expression":"((↡(⊺⇮1363⫳≱↱⊺⇮2673))≬⇓(⊺⇮9333⇂≾⫗⊺⇮2426)⪃⊛⇣(⊺⇮4218∳⫺⊺⇮1377))⪡((⊺⇮1009⫒⫫⊺⇮4042)⨐(⊺⇮4397⊱⇼⊻⊺⇮3500)⪊≅)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":463697,"operation_count":11,"complexity_ratio":42154.27272727273,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1363,"base":10},"right_expr":{"type":"numeric_atoms","value":2673,"base":10}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":9333,"base":10},"right_expr":{"type":"numeric_atoms","value":2426,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4218,"base":10},"right_expr":{"type":"numeric_atoms","value":1377,"base":10}}}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1009,"base":10},"right_expr":{"type":"numeric_atoms","value":4042,"base":10}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4397,"base":10},"right_expr":{"type":"numeric_atoms","value":3500,"base":10}}}}},"used_operators":["oraRL2iQuh","jWTQ2TZYIH","MXaNJeIAZ3","ZvLB05nZmT","rrgAzCduG9","aBQ6xLxuTc","AzXXKTstlj","bjFbhXSADs","Noe24qw2ks","6Ko8hGgeMq","FyVja0WsTP"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":4},{"info":"number node, value=2673","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=2673, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-1836","layer":2},{"info":"number node, value=9333","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=9333, right_input=2426, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=4218","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=4218, right_input=1377, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-260, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-1836, right_input=1234, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=33922358","layer":1},{"info":"number node, value=1009","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=4042, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=4397","layer":4},{"info":"number node, value=3500","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=3500, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=434, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=33922358, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↡(⊺⇮1363⫳≱↱⊺⇮2673))≬⇓(⊺⇮9333⇂≾⫗⊺⇮2426)⪃⊛⇣(⊺⇮4218∳⫺⊺⇮1377))⪡((⊺⇮1009⫒⫫⊺⇮4042)⨐(⊺⇮4397⊱⇼⊻⊺⇮3500)⪊≅)=NaN","reverse_text":"NaN=((↡(⊺⇮1363⫳≱↱⊺⇮2673))≬⇓(⊺⇮9333⇂≾⫗⊺⇮2426)⪃⊛⇣(⊺⇮4218∳⫺⊺⇮1377))⪡((⊺⇮1009⫒⫫⊺⇮4042)⨐(⊺⇮4397⊱⇼⊻⊺⇮3500)⪊≅)","cot":[{"info":"⊺⇮1363⫳≱↱⊺⇮2673=⊺⇮-204","layer":3},{"info":"↡⊺⇮-204=⊺⇮-1836","layer":2},{"info":"⊺⇮9333⇂≾⫗⊺⇮2426=⊺⇮-676","layer":3},{"info":"⊺⇮4218∳⫺⊺⇮1377=⊺⇮-260","layer":3},{"info":"⊺⇮-676⪃⊛⇣⊺⇮-260=⊺⇮1234","layer":2},{"info":"⊺⇮-1836≬⇓⊺⇮1234=⊺⇮33922358","layer":1},{"info":"⊺⇮1009⫒⫫⊺⇮4042=NaN","layer":3},{"info":"⊺⇮4397⊱⇼⊻⊺⇮3500=⊺⇮434","layer":3},{"info":"NaN⨐⊺⇮434=NaN","layer":2},{"info":"NaN⪊≅=NaN","layer":1},{"info":"⊺⇮33922358⪡NaN=NaN","layer":0}]}
{"id":85,"expression_no_base_symbol":"(⋣($2368$+⇶⊼$4449$≃$2009$⇡⇂$6601$))⫒⫫((⋼∭⪍($4578$⨳⩥⨓$2433$))⨔≚≋($1040$∼$1084$⩟))","expression":"(⋣(⊺⇮2368+⇶⊼⊺⇮4449≃⊺⇮2009⇡⇂⊺⇮6601))⫒⫫((⋼∭⪍(⊺⇮4578⨳⩥⨓⊺⇮2433))⨔≚≋(⊺⇮1040∼⊺⇮1084⩟))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40944,"operation_count":10,"complexity_ratio":4094.4,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2368,"base":10},"right_expr":{"type":"numeric_atoms","value":4449,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2009,"base":10},"right_expr":{"type":"numeric_atoms","value":6601,"base":10}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4578,"base":10},"right_expr":{"type":"numeric_atoms","value":2433,"base":10}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1040,"base":10},"right_expr":{"type":"numeric_atoms","value":1084,"base":10}}}}},"used_operators":["6Ko8hGgeMq","zQWRhDnn8F","YbVcJGFEVW","TpPTUOHfaN","UMwdvZNt44","Z57zeUYC9z","DbCuESL50I","nCS4ZIUYfx","fOIeswaMU4","DyGG3AbaNP"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2368","layer":4},{"info":"number node, value=4449","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=4449, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2009","layer":4},{"info":"number node, value=6601","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=6601, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":1},{"info":"number node, value=4578","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=4578, right_input=2433, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2145","layer":3},{"info":"compute unary expreesion, input=-2145, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-12768","layer":2},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1084, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12768, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⋣(⊺⇮2368+⇶⊼⊺⇮4449≃⊺⇮2009⇡⇂⊺⇮6601))⫒⫫((⋼∭⪍(⊺⇮4578⨳⩥⨓⊺⇮2433))⨔≚≋(⊺⇮1040∼⊺⇮1084⩟))=NaN","reverse_text":"NaN=(⋣(⊺⇮2368+⇶⊼⊺⇮4449≃⊺⇮2009⇡⇂⊺⇮6601))⫒⫫((⋼∭⪍(⊺⇮4578⨳⩥⨓⊺⇮2433))⨔≚≋(⊺⇮1040∼⊺⇮1084⩟))","cot":[{"info":"⊺⇮2368+⇶⊼⊺⇮4449=NaN","layer":3},{"info":"⊺⇮2009⇡⇂⊺⇮6601=NaN","layer":3},{"info":"NaN≃NaN=NaN","layer":2},{"info":"⋣NaN=⊺⇮-113","layer":1},{"info":"⊺⇮4578⨳⩥⨓⊺⇮2433=⊺⇮-2145","layer":3},{"info":"⋼∭⪍⊺⇮-2145=⊺⇮-12768","layer":2},{"info":"⊺⇮1040∼⊺⇮1084=NaN","layer":3},{"info":"NaN⩟=NaN","layer":2},{"info":"⊺⇮-12768⨔≚≋NaN=NaN","layer":1},{"info":"⊺⇮-113⫒⫫NaN=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"((⪓⩚$4808$)≚⊃≕($1794$⫌⩉⩟$1236$)⩧⪆($4821$⩹$9444$)≹⇙⪍($1875$⊨$2246$))≝⊿(≉(↑(→⩰$4233$)))","expression":"((⪓⩚⊺⇮4808)≚⊃≕(⊺⇮1794⫌⩉⩟⊺⇮1236)⩧⪆(⊺⇮4821⩹⊺⇮9444)≹⇙⪍(⊺⇮1875⊨⊺⇮2246))≝⊿(≉(↑(→⩰⊺⇮4233)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15602,"operation_count":11,"complexity_ratio":1418.3636363636363,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":4808,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1794,"base":10},"right_expr":{"type":"numeric_atoms","value":1236,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4821,"base":10},"right_expr":{"type":"numeric_atoms","value":9444,"base":10}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1875,"base":10},"right_expr":{"type":"numeric_atoms","value":2246,"base":10}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4233,"base":10}}}}},"used_operators":["OKKcZfAt5B","Ikt5ks8PT7","Bmrmz2XGnR","u0R0Locfp2","XIIwhv8d0m","AHs5Up7iyr","2Wsdkap16l","vg4gO5BX6G","e1ybzncUwg","tR7O2zTn5j","o8Pngz0Tml"],"dependent_operators":["12rbrZMWeM","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4808","layer":4},{"info":"compute unary expreesion, input=4808, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=1794","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=1236, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=-50, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"number node, value=4821","layer":4},{"info":"number node, value=9444","layer":4},{"info":"compute binary expreesion, left_input=4821, right_input=9444, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=9442","layer":3},{"info":"number node, value=1875","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=2246, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8531","layer":3},{"info":"compute binary expreesion, left_input=9442, right_input=8531, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=4233","layer":4},{"info":"compute unary expreesion, input=4233, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⪓⩚⊺⇮4808)≚⊃≕(⊺⇮1794⫌⩉⩟⊺⇮1236)⩧⪆(⊺⇮4821⩹⊺⇮9444)≹⇙⪍(⊺⇮1875⊨⊺⇮2246))≝⊿(≉(↑(→⩰⊺⇮4233)))=NaN","reverse_text":"NaN=((⪓⩚⊺⇮4808)≚⊃≕(⊺⇮1794⫌⩉⩟⊺⇮1236)⩧⪆(⊺⇮4821⩹⊺⇮9444)≹⇙⪍(⊺⇮1875⊨⊺⇮2246))≝⊿(≉(↑(→⩰⊺⇮4233)))","cot":[{"info":"⪓⩚⊺⇮4808=⊺⇮426","layer":3},{"info":"⊺⇮1794⫌⩉⩟⊺⇮1236=⊺⇮-50","layer":3},{"info":"⊺⇮426≚⊃≕⊺⇮-50=⊺⇮67","layer":2},{"info":"⊺⇮4821⩹⊺⇮9444=⊺⇮9442","layer":3},{"info":"⊺⇮1875⊨⊺⇮2246=⊺⇮8531","layer":3},{"info":"⊺⇮9442≹⇙⪍⊺⇮8531=NaN","layer":2},{"info":"⊺⇮67⩧⪆NaN=NaN","layer":1},{"info":"→⩰⊺⇮4233=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN≝⊿NaN=NaN","layer":0}]}
{"id":87,"expression_no_base_symbol":"(($1304$↹⊜$8255$⋳⪒(∮$4236$))∼$3332$≁↽≥$1828$∋($1070$⩏))⨜⨶(⊵⊁((↴⪽⋼$1408$)⨲∙))","expression":"((⊺⇮1304↹⊜⊺⇮8255⋳⪒(∮⊺⇮4236))∼⊺⇮3332≁↽≥⊺⇮1828∋(⊺⇮1070⩏))⨜⨶(⊵⊁((↴⪽⋼⊺⇮1408)⨲∙))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2653,"operation_count":11,"complexity_ratio":241.1818181818182,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1304,"base":10},"right_expr":{"type":"numeric_atoms","value":8255,"base":10}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":4236,"base":10}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3332,"base":10},"right_expr":{"type":"numeric_atoms","value":1828,"base":10}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1070,"base":10}}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1408,"base":10}}}}},"used_operators":["HiPekx5b7W","DyGG3AbaNP","12rbrZMWeM","9bazX3JMtO","CqXKPLVYql","ukq6epAj5P","ncHt1X6cMc","iA2gmKZ3Wj","AvED76WdY7","cRahaglYVE","5TUYCnJO6w"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","oWn0xqSxBt","3Oe9XWJUTD","z6LnFrNh4i","Tcnh7f0tEr","uBihLCJcMX","k8jYdgA6NY","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1304","layer":4},{"info":"number node, value=8255","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=8255, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-30508","layer":3},{"info":"number node, value=4236","layer":4},{"info":"compute unary expreesion, input=4236, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-30508, right_input=67, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-61370","layer":2},{"info":"number node, value=3332","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=3332, right_input=1828, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=49504","layer":3},{"info":"number node, value=1070","layer":4},{"info":"compute unary expreesion, input=1070, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=49504, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2520536","layer":2},{"info":"compute binary expreesion, left_input=-61370, right_input=2520536, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=1408","layer":4},{"info":"compute unary expreesion, input=1408, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1408","layer":3},{"info":"compute unary expreesion, input=1408, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=17217526","layer":2},{"info":"compute unary expreesion, input=17217526, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=103304086","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=103304086, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1304↹⊜⊺⇮8255⋳⪒(∮⊺⇮4236))∼⊺⇮3332≁↽≥⊺⇮1828∋(⊺⇮1070⩏))⨜⨶(⊵⊁((↴⪽⋼⊺⇮1408)⨲∙))=NaN","reverse_text":"NaN=((⊺⇮1304↹⊜⊺⇮8255⋳⪒(∮⊺⇮4236))∼⊺⇮3332≁↽≥⊺⇮1828∋(⊺⇮1070⩏))⨜⨶(⊵⊁((↴⪽⋼⊺⇮1408)⨲∙))","cot":[{"info":"⊺⇮1304↹⊜⊺⇮8255=⊺⇮-30508","layer":3},{"info":"∮⊺⇮4236=⊺⇮67","layer":3},{"info":"⊺⇮-30508⋳⪒⊺⇮67=⊺⇮-61370","layer":2},{"info":"⊺⇮3332≁↽≥⊺⇮1828=⊺⇮49504","layer":3},{"info":"⊺⇮1070⩏=⊺⇮0","layer":3},{"info":"⊺⇮49504∋⊺⇮0=⊺⇮2520536","layer":2},{"info":"⊺⇮-61370∼⊺⇮2520536=NaN","layer":1},{"info":"↴⪽⋼⊺⇮1408=⊺⇮1408","layer":3},{"info":"⊺⇮1408⨲∙=⊺⇮17217526","layer":2},{"info":"⊵⊁⊺⇮17217526=⊺⇮103304086","layer":1},{"info":"NaN⨜⨶⊺⇮103304086=NaN","layer":0}]}
{"id":88,"expression_no_base_symbol":"((↑$2185$⪬$2800$)⪨≂(⇠$1610$)⊔$7115$⋣⋖$7928$)⪶≀⋏(⪝⪂⫅($4724$⇻⋧≁$4957$⫚↹⊑$4967$≦↸$5372$))","expression":"((↑⊺⇮2185⪬⊺⇮2800)⪨≂(⇠⊺⇮1610)⊔⊺⇮7115⋣⋖⊺⇮7928)⪶≀⋏(⪝⪂⫅(⊺⇮4724⇻⋧≁⊺⇮4957⫚↹⊑⊺⇮4967≦↸⊺⇮5372))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5597,"operation_count":11,"complexity_ratio":508.8181818181818,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2185,"base":10},"right_expr":{"type":"numeric_atoms","value":2800,"base":10}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1610,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":7115,"base":10},"right_expr":{"type":"numeric_atoms","value":7928,"base":10}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4724,"base":10},"right_expr":{"type":"numeric_atoms","value":4957,"base":10}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4967,"base":10},"right_expr":{"type":"numeric_atoms","value":5372,"base":10}}}}},"used_operators":["zR4jO40bMj","sdazOOVcIp","tR7O2zTn5j","Ez1Nq5fNfI","E4l6HwMY31","18saOjeKKm","J0M6qkBnIM","XTarYq4gQB","dfKe02y8D2","jCPkEVoL5K","RygbFNSyEJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9HNa5Wba9A","8w2t5hMYqp","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⊺⇮525672","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2185","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=2800, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=1610","layer":4},{"info":"compute unary expreesion, input=1610, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1368","layer":3},{"info":"number node, value=7115","layer":4},{"info":"number node, value=7928","layer":4},{"info":"compute binary expreesion, left_input=7115, right_input=7928, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=7115","layer":3},{"info":"compute binary expreesion, left_input=-1368, right_input=7115, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=25107","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=25107, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-49728","layer":1},{"info":"number node, value=4724","layer":4},{"info":"number node, value=4957","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=4957, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=4967","layer":4},{"info":"number node, value=5372","layer":4},{"info":"compute binary expreesion, left_input=4967, right_input=5372, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-19997","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-19997, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=65709","layer":1},{"info":"compute binary expreesion, left_input=-49728, right_input=65709, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=525672","layer":0}],"base":10,"result_base":10,"text":"((↑⊺⇮2185⪬⊺⇮2800)⪨≂(⇠⊺⇮1610)⊔⊺⇮7115⋣⋖⊺⇮7928)⪶≀⋏(⪝⪂⫅(⊺⇮4724⇻⋧≁⊺⇮4957⫚↹⊑⊺⇮4967≦↸⊺⇮5372))=⊺⇮525672","reverse_text":"⊺⇮525672=((↑⊺⇮2185⪬⊺⇮2800)⪨≂(⇠⊺⇮1610)⊔⊺⇮7115⋣⋖⊺⇮7928)⪶≀⋏(⪝⪂⫅(⊺⇮4724⇻⋧≁⊺⇮4957⫚↹⊑⊺⇮4967≦↸⊺⇮5372))","cot":[{"info":"⊺⇮2185⪬⊺⇮2800=⊺⇮1234","layer":3},{"info":"↑⊺⇮1234=⊺⇮192","layer":2},{"info":"⇠⊺⇮1610=⊺⇮-1368","layer":3},{"info":"⊺⇮7115⋣⋖⊺⇮7928=⊺⇮7115","layer":3},{"info":"⊺⇮-1368⊔⊺⇮7115=⊺⇮25107","layer":2},{"info":"⊺⇮192⪨≂⊺⇮25107=⊺⇮-49728","layer":1},{"info":"⊺⇮4724⇻⋧≁⊺⇮4957=⊺⇮-447","layer":3},{"info":"⊺⇮4967≦↸⊺⇮5372=⊺⇮-19997","layer":3},{"info":"⊺⇮-447⫚↹⊑⊺⇮-19997=⊺⇮-447","layer":2},{"info":"⪝⪂⫅⊺⇮-447=⊺⇮65709","layer":1},{"info":"⊺⇮-49728⪶≀⋏⊺⇮65709=⊺⇮525672","layer":0}]}
{"id":89,"expression_no_base_symbol":"(⊖($1678$⩼⇪↪$4258$⊉≛↸$1111$↼⊘⨖$7364$))⨎(⫖→(⨴⫝$6242$)⪭(⨮↦↱$2556$))","expression":"(⊖(⊺⇮1678⩼⇪↪⊺⇮4258⊉≛↸⊺⇮1111↼⊘⨖⊺⇮7364))⨎(⫖→(⨴⫝⊺⇮6242)⪭(⨮↦↱⊺⇮2556))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4162,"operation_count":9,"complexity_ratio":462.44444444444446,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1678,"base":10},"right_expr":{"type":"numeric_atoms","value":4258,"base":10}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1111,"base":10},"right_expr":{"type":"numeric_atoms","value":7364,"base":10}}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":6242,"base":10}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2556,"base":10}}}}},"used_operators":["rJVOvQCfKK","U6pG0PXrV3","DZ8iAZOCBD","ocnLzx9CaJ","bPywburJMS","U4ylXWHChL","j9kHMeSvPp","SVb2v531z1","sYcpBQ0cFf"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","COABgblf1C","xUOZtlo3hN","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"⊺⇮177","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1678","layer":4},{"info":"number node, value=4258","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=4258, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-27233","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=7364","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=7364, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=14506","layer":3},{"info":"compute binary expreesion, left_input=-27233, right_input=14506, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-14506","layer":2},{"info":"compute unary expreesion, input=-14506, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=43518","layer":1},{"info":"number node, value=6242","layer":4},{"info":"compute unary expreesion, input=6242, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=2556","layer":4},{"info":"compute unary expreesion, input=2556, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-12772674","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=-12772674, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute unary expreesion, input=5, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=43518, right_input=177, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=177","layer":0}],"base":10,"result_base":10,"text":"(⊖(⊺⇮1678⩼⇪↪⊺⇮4258⊉≛↸⊺⇮1111↼⊘⨖⊺⇮7364))⨎(⫖→(⨴⫝⊺⇮6242)⪭(⨮↦↱⊺⇮2556))=⊺⇮177","reverse_text":"⊺⇮177=(⊖(⊺⇮1678⩼⇪↪⊺⇮4258⊉≛↸⊺⇮1111↼⊘⨖⊺⇮7364))⨎(⫖→(⨴⫝⊺⇮6242)⪭(⨮↦↱⊺⇮2556))","cot":[{"info":"⊺⇮1678⩼⇪↪⊺⇮4258=⊺⇮-27233","layer":3},{"info":"⊺⇮1111↼⊘⨖⊺⇮7364=⊺⇮14506","layer":3},{"info":"⊺⇮-27233⊉≛↸⊺⇮14506=⊺⇮-14506","layer":2},{"info":"⊖⊺⇮-14506=⊺⇮43518","layer":1},{"info":"⨴⫝⊺⇮6242=⊺⇮2828198","layer":3},{"info":"⨮↦↱⊺⇮2556=⊺⇮-12772674","layer":3},{"info":"⊺⇮2828198⪭⊺⇮-12772674=⊺⇮5","layer":2},{"info":"⫖→⊺⇮5=⊺⇮177","layer":1},{"info":"⊺⇮43518⨎⊺⇮177=⊺⇮177","layer":0}]}
{"id":90,"expression_no_base_symbol":"⨦⪝($2188$⊹∫⫚$2645$⫸⊐($3147$↸$5047$))↤⩊(⊑($1086$⨓$7419$))","expression":"⨦⪝(⊺⇮2188⊹∫⫚⊺⇮2645⫸⊐(⊺⇮3147↸⊺⇮5047))↤⩊(⊑(⊺⇮1086⨓⊺⇮7419))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11226,"operation_count":7,"complexity_ratio":1603.7142857142858,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2188,"base":10},"right_expr":{"type":"numeric_atoms","value":2645,"base":10}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3147,"base":10},"right_expr":{"type":"numeric_atoms","value":5047,"base":10}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1086,"base":10},"right_expr":{"type":"numeric_atoms","value":7419,"base":10}}}}},"used_operators":["SUjycxNXIR","13rbtpv6ld","mqXw5SEYmG","uWAJUKEvyW","1eCjFl0mb9","IkUmn0D7oy","3ViojmjbAp"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮-1884","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"number node, value=2645","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=2645, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-112","layer":3},{"info":"number node, value=3147","layer":4},{"info":"number node, value=5047","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=5047, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3147","layer":3},{"info":"compute binary expreesion, left_input=-112, right_input=3147, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=372","layer":2},{"info":"number node, value=1086","layer":4},{"info":"number node, value=7419","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=7419, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7422","layer":3},{"info":"compute unary expreesion, input=-7422, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=372, right_input=192, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":10,"result_base":10,"text":"⨦⪝(⊺⇮2188⊹∫⫚⊺⇮2645⫸⊐(⊺⇮3147↸⊺⇮5047))↤⩊(⊑(⊺⇮1086⨓⊺⇮7419))=⊺⇮-1884","reverse_text":"⊺⇮-1884=⨦⪝(⊺⇮2188⊹∫⫚⊺⇮2645⫸⊐(⊺⇮3147↸⊺⇮5047))↤⩊(⊑(⊺⇮1086⨓⊺⇮7419))","cot":[{"info":"⊺⇮2188⊹∫⫚⊺⇮2645=⊺⇮-112","layer":3},{"info":"⊺⇮3147↸⊺⇮5047=⊺⇮3147","layer":3},{"info":"⊺⇮-112⫸⊐⊺⇮3147=⊺⇮372","layer":2},{"info":"⊺⇮1086⨓⊺⇮7419=⊺⇮-7422","layer":3},{"info":"⊑⊺⇮-7422=⊺⇮192","layer":2},{"info":"⊺⇮372↤⩊⊺⇮192=NaN","layer":1},{"info":"⨦⪝NaN=⊺⇮-1884","layer":0}]}
{"id":91,"expression_no_base_symbol":"(($2818$⩺⪪$4180$)∴$1116$⇡⇂$1367$≝⊿(⊁⨺($2096$%$1347$)))≝⊰⇂","expression":"((⊺⇮2818⩺⪪⊺⇮4180)∴⊺⇮1116⇡⇂⊺⇮1367≝⊿(⊁⨺(⊺⇮2096%⊺⇮1347)))≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8034,"operation_count":7,"complexity_ratio":1147.7142857142858,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2818,"base":10},"right_expr":{"type":"numeric_atoms","value":4180,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1116,"base":10},"right_expr":{"type":"numeric_atoms","value":1367,"base":10}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2096,"base":10},"right_expr":{"type":"numeric_atoms","value":1347,"base":10}}}}},"used_operators":["htSmYCowi5","OKKcZfAt5B","hrf7POJlIJ","uvdQJvN4PV","UMwdvZNt44","PxiHyQbrIp","k8jYdgA6NY"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2818","layer":4},{"info":"number node, value=4180","layer":4},{"info":"compute binary expreesion, left_input=2818, right_input=4180, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=1116","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=1367, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-1988","layer":2},{"info":"number node, value=2096","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=1347, op_id = k8jYdgA6NY binary_op_definition= 'None', output=749","layer":3},{"info":"compute unary expreesion, input=749, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-1988, right_input=160, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=1135","layer":1},{"info":"compute unary expreesion, input=1135, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2818⩺⪪⊺⇮4180)∴⊺⇮1116⇡⇂⊺⇮1367≝⊿(⊁⨺(⊺⇮2096%⊺⇮1347)))≝⊰⇂=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮2818⩺⪪⊺⇮4180)∴⊺⇮1116⇡⇂⊺⇮1367≝⊿(⊁⨺(⊺⇮2096%⊺⇮1347)))≝⊰⇂","cot":[{"info":"⊺⇮2818⩺⪪⊺⇮4180=⊺⇮-1818","layer":3},{"info":"⊺⇮1116⇡⇂⊺⇮1367=NaN","layer":3},{"info":"⊺⇮-1818∴NaN=⊺⇮-1988","layer":2},{"info":"⊺⇮2096%⊺⇮1347=⊺⇮749","layer":3},{"info":"⊁⨺⊺⇮749=⊺⇮160","layer":2},{"info":"⊺⇮-1988≝⊿⊺⇮160=⊺⇮1135","layer":1},{"info":"⊺⇮1135≝⊰⇂=⊺⇮0","layer":0}]}
{"id":92,"expression_no_base_symbol":"(⨣⨃⇪(≔($4377$⩏)))∠↢((⨛$1508$↹⊜$2062$)⫃⨇$3291$↹⊜$2701$+⇶⊼$2478$∋$6473$)","expression":"(⨣⨃⇪(≔(⊺⇮4377⩏)))∠↢((⨛⊺⇮1508↹⊜⊺⇮2062)⫃⨇⊺⇮3291↹⊜⊺⇮2701+⇶⊼⊺⇮2478∋⊺⇮6473)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1799,"operation_count":10,"complexity_ratio":179.9,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":4377,"base":10}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1508,"base":10},"right_expr":{"type":"numeric_atoms","value":2062,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3291,"base":10},"right_expr":{"type":"numeric_atoms","value":2701,"base":10}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2478,"base":10},"right_expr":{"type":"numeric_atoms","value":6473,"base":10}}}}},"used_operators":["KbjG8mgYpV","AcOhelriW5","8FLs4eVsLt","iA2gmKZ3Wj","09Ly4LVMIf","CoMdbyAt7R","9bazX3JMtO","TpPTUOHfaN","ukq6epAj5P"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","z6LnFrNh4i","Tcnh7f0tEr","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","AHs5Up7iyr","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4377","layer":4},{"info":"compute unary expreesion, input=4377, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=1294","layer":2},{"info":"compute unary expreesion, input=1294, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=1508","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=2062, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-5328","layer":3},{"info":"compute unary expreesion, input=-5328, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":2},{"info":"number node, value=3291","layer":4},{"info":"number node, value=2701","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=2701, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-4318","layer":3},{"info":"number node, value=2478","layer":4},{"info":"number node, value=6473","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=6473, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=13487240","layer":3},{"info":"compute binary expreesion, left_input=-4318, right_input=13487240, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨣⨃⇪(≔(⊺⇮4377⩏)))∠↢((⨛⊺⇮1508↹⊜⊺⇮2062)⫃⨇⊺⇮3291↹⊜⊺⇮2701+⇶⊼⊺⇮2478∋⊺⇮6473)=NaN","reverse_text":"NaN=(⨣⨃⇪(≔(⊺⇮4377⩏)))∠↢((⨛⊺⇮1508↹⊜⊺⇮2062)⫃⨇⊺⇮3291↹⊜⊺⇮2701+⇶⊼⊺⇮2478∋⊺⇮6473)","cot":[{"info":"⊺⇮4377⩏=⊺⇮0","layer":3},{"info":"≔⊺⇮0=⊺⇮1294","layer":2},{"info":"⨣⨃⇪⊺⇮1294=⊺⇮1405","layer":1},{"info":"⊺⇮1508↹⊜⊺⇮2062=⊺⇮-5328","layer":3},{"info":"⨛⊺⇮-5328=⊺⇮0","layer":2},{"info":"⊺⇮3291↹⊜⊺⇮2701=⊺⇮-4318","layer":3},{"info":"⊺⇮2478∋⊺⇮6473=⊺⇮13487240","layer":3},{"info":"⊺⇮-4318+⇶⊼⊺⇮13487240=NaN","layer":2},{"info":"⊺⇮0⫃⨇NaN=NaN","layer":1},{"info":"⊺⇮1405∠↢NaN=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"(($3180$∖$1143$)⨔⇊(⨡↴$3202$)↹⊜($8048$⋕⪉⪜$6813$⊉≛↸$3886$⪢$1068$))∓⋝(($5246$⨿$3121$⪇≇⋚($1420$↱$5913$))⨪↰⇹($7839$→⨶⪴$1335$⨸⪁$4697$⪉⨛$1471$))","expression":"((⊺⇮3180∖⊺⇮1143)⨔⇊(⨡↴⊺⇮3202)↹⊜(⊺⇮8048⋕⪉⪜⊺⇮6813⊉≛↸⊺⇮3886⪢⊺⇮1068))∓⋝((⊺⇮5246⨿⊺⇮3121⪇≇⋚(⊺⇮1420↱⊺⇮5913))⨪↰⇹(⊺⇮7839→⨶⪴⊺⇮1335⨸⪁⊺⇮4697⪉⨛⊺⇮1471))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6451,"operation_count":15,"complexity_ratio":430.06666666666666,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3180,"base":10},"right_expr":{"type":"numeric_atoms","value":1143,"base":10}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3202,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":8048,"base":10},"right_expr":{"type":"numeric_atoms","value":6813,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3886,"base":10},"right_expr":{"type":"numeric_atoms","value":1068,"base":10}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5246,"base":10},"right_expr":{"type":"numeric_atoms","value":3121,"base":10}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1420,"base":10},"right_expr":{"type":"numeric_atoms","value":5913,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":7839,"base":10},"right_expr":{"type":"numeric_atoms","value":1335,"base":10}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4697,"base":10},"right_expr":{"type":"numeric_atoms","value":1471,"base":10}}}}},"used_operators":["PoHhknlbAi","9bazX3JMtO","JclMnS0uGI","tXD093vOjl","liw5iZPkLH","DZ8iAZOCBD","z6LnFrNh4i","dWAJyo7jo9","tmPS8pqC7x","3sJ7IOPOlU","abYXlopdE0","SR5kFfdi6N","g55IO6H4Gj","bF6eod5Gvf","EWw2JM7wp4"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","k8jYdgA6NY","rJVOvQCfKK","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⊺⇮-3538","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3180","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=3180, right_input=1143, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=3202","layer":4},{"info":"compute unary expreesion, input=3202, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4251","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4251, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4251","layer":2},{"info":"number node, value=8048","layer":4},{"info":"number node, value=6813","layer":4},{"info":"compute binary expreesion, left_input=8048, right_input=6813, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=3886","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=1068, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5604","layer":2},{"info":"compute binary expreesion, left_input=4251, right_input=5604, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-14010","layer":1},{"info":"number node, value=5246","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=5246, right_input=3121, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1420","layer":4},{"info":"number node, value=5913","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=5913, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-17217","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-17217, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=7839","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=7839, right_input=1335, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4005","layer":3},{"info":"number node, value=4697","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=4697, right_input=1471, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=12835","layer":3},{"info":"compute binary expreesion, left_input=-4005, right_input=12835, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17660","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=17660, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=-14010, right_input=0, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3538","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3180∖⊺⇮1143)⨔⇊(⨡↴⊺⇮3202)↹⊜(⊺⇮8048⋕⪉⪜⊺⇮6813⊉≛↸⊺⇮3886⪢⊺⇮1068))∓⋝((⊺⇮5246⨿⊺⇮3121⪇≇⋚(⊺⇮1420↱⊺⇮5913))⨪↰⇹(⊺⇮7839→⨶⪴⊺⇮1335⨸⪁⊺⇮4697⪉⨛⊺⇮1471))=⊺⇮-3538","reverse_text":"⊺⇮-3538=((⊺⇮3180∖⊺⇮1143)⨔⇊(⨡↴⊺⇮3202)↹⊜(⊺⇮8048⋕⪉⪜⊺⇮6813⊉≛↸⊺⇮3886⪢⊺⇮1068))∓⋝((⊺⇮5246⨿⊺⇮3121⪇≇⋚(⊺⇮1420↱⊺⇮5913))⨪↰⇹(⊺⇮7839→⨶⪴⊺⇮1335⨸⪁⊺⇮4697⪉⨛⊺⇮1471))","cot":[{"info":"⊺⇮3180∖⊺⇮1143=⊺⇮0","layer":3},{"info":"⨡↴⊺⇮3202=⊺⇮4251","layer":3},{"info":"⊺⇮0⨔⇊⊺⇮4251=⊺⇮4251","layer":2},{"info":"⊺⇮8048⋕⪉⪜⊺⇮6813=⊺⇮2802","layer":3},{"info":"⊺⇮3886⪢⊺⇮1068=NaN","layer":3},{"info":"⊺⇮2802⊉≛↸NaN=⊺⇮5604","layer":2},{"info":"⊺⇮4251↹⊜⊺⇮5604=⊺⇮-14010","layer":1},{"info":"⊺⇮5246⨿⊺⇮3121=⊺⇮-319","layer":3},{"info":"⊺⇮1420↱⊺⇮5913=⊺⇮-17217","layer":3},{"info":"⊺⇮-319⪇≇⋚⊺⇮-17217=⊺⇮0","layer":2},{"info":"⊺⇮7839→⨶⪴⊺⇮1335=⊺⇮-4005","layer":3},{"info":"⊺⇮4697⪉⨛⊺⇮1471=⊺⇮12835","layer":3},{"info":"⊺⇮-4005⨸⪁⊺⇮12835=⊺⇮17660","layer":2},{"info":"⊺⇮0⨪↰⇹⊺⇮17660=⊺⇮0","layer":1},{"info":"⊺⇮-14010∓⋝⊺⇮0=⊺⇮-3538","layer":0}]}
{"id":94,"expression_no_base_symbol":"(((↡$5992$)⨭⪣$6089$⇴$6949$)∌↝($7407$≒∊$2426$∠⫱($8075$⫡⨏$4570$)))⋕⪉⪜(($1041$∋$1406$)≴⪞⇿($1164$⫥∨⫟$5420$)⊹∫⫚($4790$⇼⇔∾$3499$⨸⪁$6300$≀⩗∶$5716$))","expression":"(((↡⊺⇮5992)⨭⪣⊺⇮6089⇴⊺⇮6949)∌↝(⊺⇮7407≒∊⊺⇮2426∠⫱(⊺⇮8075⫡⨏⊺⇮4570)))⋕⪉⪜((⊺⇮1041∋⊺⇮1406)≴⪞⇿(⊺⇮1164⫥∨⫟⊺⇮5420)⊹∫⫚(⊺⇮4790⇼⇔∾⊺⇮3499⨸⪁⊺⇮6300≀⩗∶⊺⇮5716))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2913907,"operation_count":15,"complexity_ratio":194260.46666666667,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":5992,"base":10}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":6089,"base":10},"right_expr":{"type":"numeric_atoms","value":6949,"base":10}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":7407,"base":10},"right_expr":{"type":"numeric_atoms","value":2426,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8075,"base":10},"right_expr":{"type":"numeric_atoms","value":4570,"base":10}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1041,"base":10},"right_expr":{"type":"numeric_atoms","value":1406,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1164,"base":10},"right_expr":{"type":"numeric_atoms","value":5420,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4790,"base":10},"right_expr":{"type":"numeric_atoms","value":3499,"base":10}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":6300,"base":10},"right_expr":{"type":"numeric_atoms","value":5716,"base":10}}}}},"used_operators":["z6LnFrNh4i","9Isq31Ruls","kn8WO9XteQ","MXaNJeIAZ3","4JB6nKBMSY","QvoQhV0rrE","5KTvxBwnZo","QMFrweE19q","uWAJUKEvyW","lvlrscuwVU","ukq6epAj5P","KYD54nUTWz","g55IO6H4Gj","tifHPKVTfV","8INZBEW696"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⊺⇮2802","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5992","layer":4},{"info":"compute unary expreesion, input=5992, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=53928","layer":3},{"info":"number node, value=6089","layer":4},{"info":"number node, value=6949","layer":4},{"info":"compute binary expreesion, left_input=6089, right_input=6949, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=50046","layer":3},{"info":"compute binary expreesion, left_input=53928, right_input=50046, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=52649","layer":2},{"info":"number node, value=7407","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=7407, right_input=2426, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-6923","layer":3},{"info":"number node, value=8075","layer":4},{"info":"number node, value=4570","layer":4},{"info":"compute binary expreesion, left_input=8075, right_input=4570, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=50298","layer":3},{"info":"compute binary expreesion, left_input=-6923, right_input=50298, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=52649, right_input=1234, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1406, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2913692","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=5420","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=5420, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2913692, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":2},{"info":"number node, value=4790","layer":4},{"info":"number node, value=3499","layer":4},{"info":"compute binary expreesion, left_input=4790, right_input=3499, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1291","layer":3},{"info":"number node, value=6300","layer":4},{"info":"number node, value=5716","layer":4},{"info":"compute binary expreesion, left_input=6300, right_input=5716, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1291, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2582","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-2582, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-32","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-32, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":0}],"base":10,"result_base":10,"text":"(((↡⊺⇮5992)⨭⪣⊺⇮6089⇴⊺⇮6949)∌↝(⊺⇮7407≒∊⊺⇮2426∠⫱(⊺⇮8075⫡⨏⊺⇮4570)))⋕⪉⪜((⊺⇮1041∋⊺⇮1406)≴⪞⇿(⊺⇮1164⫥∨⫟⊺⇮5420)⊹∫⫚(⊺⇮4790⇼⇔∾⊺⇮3499⨸⪁⊺⇮6300≀⩗∶⊺⇮5716))=⊺⇮2802","reverse_text":"⊺⇮2802=(((↡⊺⇮5992)⨭⪣⊺⇮6089⇴⊺⇮6949)∌↝(⊺⇮7407≒∊⊺⇮2426∠⫱(⊺⇮8075⫡⨏⊺⇮4570)))⋕⪉⪜((⊺⇮1041∋⊺⇮1406)≴⪞⇿(⊺⇮1164⫥∨⫟⊺⇮5420)⊹∫⫚(⊺⇮4790⇼⇔∾⊺⇮3499⨸⪁⊺⇮6300≀⩗∶⊺⇮5716))","cot":[{"info":"↡⊺⇮5992=⊺⇮53928","layer":3},{"info":"⊺⇮6089⇴⊺⇮6949=⊺⇮50046","layer":3},{"info":"⊺⇮53928⨭⪣⊺⇮50046=⊺⇮52649","layer":2},{"info":"⊺⇮7407≒∊⊺⇮2426=⊺⇮-6923","layer":3},{"info":"⊺⇮8075⫡⨏⊺⇮4570=⊺⇮50298","layer":3},{"info":"⊺⇮-6923∠⫱⊺⇮50298=⊺⇮1234","layer":2},{"info":"⊺⇮52649∌↝⊺⇮1234=⊺⇮0","layer":1},{"info":"⊺⇮1041∋⊺⇮1406=⊺⇮2913692","layer":3},{"info":"⊺⇮1164⫥∨⫟⊺⇮5420=NaN","layer":3},{"info":"⊺⇮2913692≴⪞⇿NaN=Inf","layer":2},{"info":"⊺⇮4790⇼⇔∾⊺⇮3499=⊺⇮-1291","layer":3},{"info":"⊺⇮6300≀⩗∶⊺⇮5716=⊺⇮0","layer":3},{"info":"⊺⇮-1291⨸⪁⊺⇮0=⊺⇮-2582","layer":2},{"info":"Inf⊹∫⫚⊺⇮-2582=⊺⇮-32","layer":1},{"info":"⊺⇮0⋕⪉⪜⊺⇮-32=⊺⇮2802","layer":0}]}
{"id":95,"expression_no_base_symbol":"(≸≮($5823$⊋≦⊧$1217$⊝))⨎($5333$⋥⋵⩄$2497$≨(⨵$6586$)≬⋮$4532$↳≱$5933$⩁⩘(⩎⋉$4131$))","expression":"(≸≮(⊺⇮5823⊋≦⊧⊺⇮1217⊝))⨎(⊺⇮5333⋥⋵⩄⊺⇮2497≨(⨵⊺⇮6586)≬⋮⊺⇮4532↳≱⊺⇮5933⩁⩘(⩎⋉⊺⇮4131))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":371,"operation_count":11,"complexity_ratio":33.72727272727273,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5823,"base":10},"right_expr":{"type":"numeric_atoms","value":1217,"base":10}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5333,"base":10},"right_expr":{"type":"numeric_atoms","value":2497,"base":10}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":6586,"base":10}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4532,"base":10},"right_expr":{"type":"numeric_atoms","value":5933,"base":10}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4131,"base":10}}}}},"used_operators":["rJVOvQCfKK","AljMvE3RRm","O6EZ0fifGK","oRDoc9rAEX","kbkesczE7y","0KMCeP1Jsh","7t3wd0Fuz7","Tl3Y52tvF8","gub5Cegaqo","JwTKLfZU96","FlXk3pOYe8"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","DpFCA1CohY","IWmyXbctLI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5823","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=5823, right_input=1217, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-2194","layer":3},{"info":"compute unary expreesion, input=-2194, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-2194","layer":2},{"info":"compute unary expreesion, input=-2194, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=33693","layer":1},{"info":"number node, value=5333","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=5333, right_input=2497, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=6586","layer":4},{"info":"compute unary expreesion, input=6586, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-53897","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-53897, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1346","layer":2},{"info":"number node, value=4532","layer":4},{"info":"number node, value=5933","layer":4},{"info":"compute binary expreesion, left_input=4532, right_input=5933, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=4131","layer":4},{"info":"compute unary expreesion, input=4131, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1650, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1346, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=33693, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≸≮(⊺⇮5823⊋≦⊧⊺⇮1217⊝))⨎(⊺⇮5333⋥⋵⩄⊺⇮2497≨(⨵⊺⇮6586)≬⋮⊺⇮4532↳≱⊺⇮5933⩁⩘(⩎⋉⊺⇮4131))=NaN","reverse_text":"NaN=(≸≮(⊺⇮5823⊋≦⊧⊺⇮1217⊝))⨎(⊺⇮5333⋥⋵⩄⊺⇮2497≨(⨵⊺⇮6586)≬⋮⊺⇮4532↳≱⊺⇮5933⩁⩘(⩎⋉⊺⇮4131))","cot":[{"info":"⊺⇮5823⊋≦⊧⊺⇮1217=⊺⇮-2194","layer":3},{"info":"⊺⇮-2194⊝=⊺⇮-2194","layer":2},{"info":"≸≮⊺⇮-2194=⊺⇮33693","layer":1},{"info":"⊺⇮5333⋥⋵⩄⊺⇮2497=⊺⇮113","layer":3},{"info":"⨵⊺⇮6586=⊺⇮-53897","layer":3},{"info":"⊺⇮113≨⊺⇮-53897=⊺⇮1346","layer":2},{"info":"⊺⇮4532↳≱⊺⇮5933=⊺⇮0","layer":3},{"info":"⩎⋉⊺⇮4131=⊺⇮1650","layer":3},{"info":"⊺⇮0⩁⩘⊺⇮1650=NaN","layer":2},{"info":"⊺⇮1346≬⋮NaN=NaN","layer":1},{"info":"⊺⇮33693⨎NaN=NaN","layer":0}]}
{"id":96,"expression_no_base_symbol":"≛((⇺⋃$1482$)⫃⨇$3968$⨐⩸⫘$2964$)⪍↜⋙(↣≠⋷($2213$⩵∡$2551$))","expression":"≛((⇺⋃⊺⇮1482)⫃⨇⊺⇮3968⨐⩸⫘⊺⇮2964)⪍↜⋙(↣≠⋷(⊺⇮2213⩵∡⊺⇮2551))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":115,"operation_count":7,"complexity_ratio":16.428571428571427,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1482,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3968,"base":10},"right_expr":{"type":"numeric_atoms","value":2964,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2213,"base":10},"right_expr":{"type":"numeric_atoms","value":2551,"base":10}}}}},"used_operators":["W7eaUhjymW","L05ObWFQCd","09Ly4LVMIf","E5v5B3UAjG","fu6greOZ01","Asc51vEJeQ","Y7wcNGrDQJ"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1482","layer":4},{"info":"compute unary expreesion, input=1482, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=3968","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=3968, right_input=2964, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"number node, value=2213","layer":4},{"info":"number node, value=2551","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=2551, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1996","layer":3},{"info":"compute unary expreesion, input=-1996, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≛((⇺⋃⊺⇮1482)⫃⨇⊺⇮3968⨐⩸⫘⊺⇮2964)⪍↜⋙(↣≠⋷(⊺⇮2213⩵∡⊺⇮2551))=NaN","reverse_text":"NaN=≛((⇺⋃⊺⇮1482)⫃⨇⊺⇮3968⨐⩸⫘⊺⇮2964)⪍↜⋙(↣≠⋷(⊺⇮2213⩵∡⊺⇮2551))","cot":[{"info":"⇺⋃⊺⇮1482=NaN","layer":3},{"info":"⊺⇮3968⨐⩸⫘⊺⇮2964=NaN","layer":3},{"info":"NaN⫃⨇NaN=NaN","layer":2},{"info":"⊺⇮2213⩵∡⊺⇮2551=⊺⇮-1996","layer":3},{"info":"↣≠⋷⊺⇮-1996=NaN","layer":2},{"info":"NaN⪍↜⋙NaN=NaN","layer":1},{"info":"≛NaN=NaN","layer":0}]}
{"id":97,"expression_no_base_symbol":"(∂⩏⊆(∤↝($3535$⊝)))+⇶⊼($3831$⨿$3387$⩤)∳⫺($2303$≝⊿$1987$⨓($2597$⋝⋈⪟$8631$))","expression":"(∂⩏⊆(∤↝(⊺⇮3535⊝)))+⇶⊼(⊺⇮3831⨿⊺⇮3387⩤)∳⫺(⊺⇮2303≝⊿⊺⇮1987⨓(⊺⇮2597⋝⋈⪟⊺⇮8631))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2909,"operation_count":10,"complexity_ratio":290.9,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":3535,"base":10}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3831,"base":10},"right_expr":{"type":"numeric_atoms","value":3387,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2303,"base":10},"right_expr":{"type":"numeric_atoms","value":1987,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2597,"base":10},"right_expr":{"type":"numeric_atoms","value":8631,"base":10}}}}},"used_operators":["TpPTUOHfaN","8WDwsbhb0R","3UMq87Qwqg","O6EZ0fifGK","AzXXKTstlj","Z2TMIBDE3Q","abYXlopdE0","3ViojmjbAp","OKKcZfAt5B","2DDjHMKMc0"],"dependent_operators":["AHs5Up7iyr","14qkJME0vr","eLAdDNolq6","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3535","layer":4},{"info":"compute unary expreesion, input=3535, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=3535","layer":3},{"info":"compute unary expreesion, input=3535, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=3535","layer":2},{"info":"compute unary expreesion, input=3535, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-10684","layer":1},{"info":"number node, value=3831","layer":4},{"info":"number node, value=3387","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=3387, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=319","layer":2},{"info":"number node, value=2303","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=1987, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6810","layer":3},{"info":"number node, value=2597","layer":4},{"info":"number node, value=8631","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=8631, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2597","layer":3},{"info":"compute binary expreesion, left_input=-6810, right_input=2597, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2600","layer":2},{"info":"compute binary expreesion, left_input=319, right_input=-2600, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-10684, right_input=-260, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∂⩏⊆(∤↝(⊺⇮3535⊝)))+⇶⊼(⊺⇮3831⨿⊺⇮3387⩤)∳⫺(⊺⇮2303≝⊿⊺⇮1987⨓(⊺⇮2597⋝⋈⪟⊺⇮8631))=NaN","reverse_text":"NaN=(∂⩏⊆(∤↝(⊺⇮3535⊝)))+⇶⊼(⊺⇮3831⨿⊺⇮3387⩤)∳⫺(⊺⇮2303≝⊿⊺⇮1987⨓(⊺⇮2597⋝⋈⪟⊺⇮8631))","cot":[{"info":"⊺⇮3535⊝=⊺⇮3535","layer":3},{"info":"∤↝⊺⇮3535=⊺⇮3535","layer":2},{"info":"∂⩏⊆⊺⇮3535=⊺⇮-10684","layer":1},{"info":"⊺⇮3831⨿⊺⇮3387=⊺⇮-319","layer":3},{"info":"⊺⇮-319⩤=⊺⇮319","layer":2},{"info":"⊺⇮2303≝⊿⊺⇮1987=⊺⇮-6810","layer":3},{"info":"⊺⇮2597⋝⋈⪟⊺⇮8631=⊺⇮2597","layer":3},{"info":"⊺⇮-6810⨓⊺⇮2597=⊺⇮-2600","layer":2},{"info":"⊺⇮319∳⫺⊺⇮-2600=⊺⇮-260","layer":1},{"info":"⊺⇮-10684+⇶⊼⊺⇮-260=NaN","layer":0}]}
{"id":98,"expression_no_base_symbol":"((⊖∈$2265$→⨶⪴$1419$)⨔⇊((⩷$1076$)∷($2391$⪑⩈)))⩦((⊤⊝$2188$⨚$3226$)⋷$4826$⨔⇊$5707$⨐⩸⫘$6017$≳⇉$4062$)","expression":"((⊖∈⊺⇮2265→⨶⪴⊺⇮1419)⨔⇊((⩷⊺⇮1076)∷(⊺⇮2391⪑⩈)))⩦((⊤⊝⊺⇮2188⨚⊺⇮3226)⋷⊺⇮4826⨔⇊⊺⇮5707⨐⩸⫘⊺⇮6017≳⇉⊺⇮4062)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":231754527,"operation_count":13,"complexity_ratio":17827271.307692308,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2265,"base":10},"right_expr":{"type":"numeric_atoms","value":1419,"base":10}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1076,"base":10}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":2391,"base":10}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2188,"base":10},"right_expr":{"type":"numeric_atoms","value":3226,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4826,"base":10},"right_expr":{"type":"numeric_atoms","value":5707,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6017,"base":10},"right_expr":{"type":"numeric_atoms","value":4062,"base":10}}}}},"used_operators":["0kmYd0q39Y","JclMnS0uGI","YFxL8Sc2Zy","bF6eod5Gvf","D3AQDKkPcf","1h0rLqGiFr","C6VvDP6HwP","23Mk6UjR3U","rXAclfmB4M","nREPSIbpBE","fu6greOZ01","V0kx6qeWkN"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","NTOWxs364D","7j4O788W3g","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","BjRHVeLaeN","12rbrZMWeM","3ViojmjbAp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⊺⇮36654","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2265","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=1419, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4257","layer":3},{"info":"compute unary expreesion, input=-4257, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=363338714","layer":2},{"info":"number node, value=1076","layer":4},{"info":"compute unary expreesion, input=1076, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-12991","layer":3},{"info":"number node, value=2391","layer":4},{"info":"compute unary expreesion, input=2391, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=18327","layer":3},{"info":"compute binary expreesion, left_input=-12991, right_input=18327, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=18327","layer":2},{"info":"compute binary expreesion, left_input=363338714, right_input=18327, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=18327","layer":1},{"info":"number node, value=2188","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=3226, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7594","layer":3},{"info":"compute unary expreesion, input=-7594, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-16486","layer":2},{"info":"number node, value=4826","layer":4},{"info":"number node, value=5707","layer":4},{"info":"compute binary expreesion, left_input=4826, right_input=5707, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5707","layer":3},{"info":"number node, value=6017","layer":4},{"info":"number node, value=4062","layer":4},{"info":"compute binary expreesion, left_input=6017, right_input=4062, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5707, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-16486, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=32972","layer":1},{"info":"compute binary expreesion, left_input=18327, right_input=32972, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=36654","layer":0}],"base":10,"result_base":10,"text":"((⊖∈⊺⇮2265→⨶⪴⊺⇮1419)⨔⇊((⩷⊺⇮1076)∷(⊺⇮2391⪑⩈)))⩦((⊤⊝⊺⇮2188⨚⊺⇮3226)⋷⊺⇮4826⨔⇊⊺⇮5707⨐⩸⫘⊺⇮6017≳⇉⊺⇮4062)=⊺⇮36654","reverse_text":"⊺⇮36654=((⊖∈⊺⇮2265→⨶⪴⊺⇮1419)⨔⇊((⩷⊺⇮1076)∷(⊺⇮2391⪑⩈)))⩦((⊤⊝⊺⇮2188⨚⊺⇮3226)⋷⊺⇮4826⨔⇊⊺⇮5707⨐⩸⫘⊺⇮6017≳⇉⊺⇮4062)","cot":[{"info":"⊺⇮2265→⨶⪴⊺⇮1419=⊺⇮-4257","layer":3},{"info":"⊖∈⊺⇮-4257=⊺⇮363338714","layer":2},{"info":"⩷⊺⇮1076=⊺⇮-12991","layer":3},{"info":"⊺⇮2391⪑⩈=⊺⇮18327","layer":3},{"info":"⊺⇮-12991∷⊺⇮18327=⊺⇮18327","layer":2},{"info":"⊺⇮363338714⨔⇊⊺⇮18327=⊺⇮18327","layer":1},{"info":"⊺⇮2188⨚⊺⇮3226=⊺⇮-7594","layer":3},{"info":"⊤⊝⊺⇮-7594=⊺⇮-16486","layer":2},{"info":"⊺⇮4826⨔⇊⊺⇮5707=⊺⇮5707","layer":3},{"info":"⊺⇮6017≳⇉⊺⇮4062=NaN","layer":3},{"info":"⊺⇮5707⨐⩸⫘NaN=NaN","layer":2},{"info":"⊺⇮-16486⋷NaN=⊺⇮32972","layer":1},{"info":"⊺⇮18327⩦⊺⇮32972=⊺⇮36654","layer":0}]}
{"id":99,"expression_no_base_symbol":"(((⩰$6796$)≀⩗∶(⩎⋉$6175$))⊨(⩒∊($6243$⫳≱↱$1067$)))⋣⋖($1345$⊢$4684$⩒⫫(⨦⪝$1665$)*($4469$⪡$3948$)⊮⊟↴($6633$⨑≵⋬$3866$))","expression":"(((⩰⊺⇮6796)≀⩗∶(⩎⋉⊺⇮6175))⊨(⩒∊(⊺⇮6243⫳≱↱⊺⇮1067)))⋣⋖(⊺⇮1345⊢⊺⇮4684⩒⫫(⨦⪝⊺⇮1665)*(⊺⇮4469⪡⊺⇮3948)⊮⊟↴(⊺⇮6633⨑≵⋬⊺⇮3866))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":583,"operation_count":14,"complexity_ratio":41.642857142857146,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":6796,"base":10}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":6175,"base":10}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":6243,"base":10},"right_expr":{"type":"numeric_atoms","value":1067,"base":10}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1345,"base":10},"right_expr":{"type":"numeric_atoms","value":4684,"base":10}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1665,"base":10}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4469,"base":10},"right_expr":{"type":"numeric_atoms","value":3948,"base":10}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6633,"base":10},"right_expr":{"type":"numeric_atoms","value":3866,"base":10}}}}},"used_operators":["J0M6qkBnIM","vg4gO5BX6G","8INZBEW696","WkeUrDK8WX","FlXk3pOYe8","qazvmhNBbN","ZvLB05nZmT","9HNa5Wba9A","KFSx94NKJn","5twsqlHp2o","SUjycxNXIR","QDVgd2eftb","oraRL2iQuh","XnXgA4xnOs"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⊺⇮-174","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6796","layer":4},{"info":"compute unary expreesion, input=6796, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-7796","layer":3},{"info":"number node, value=6175","layer":4},{"info":"compute unary expreesion, input=6175, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-7796, right_input=1650, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"number node, value=6243","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=6243, right_input=1067, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1885","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=-1885, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"number node, value=1345","layer":4},{"info":"number node, value=4684","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=4684, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2934","layer":3},{"info":"number node, value=1665","layer":4},{"info":"compute unary expreesion, input=1665, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=-2934, right_input=-1884, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=4469","layer":4},{"info":"number node, value=3948","layer":4},{"info":"compute binary expreesion, left_input=4469, right_input=3948, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=6633","layer":4},{"info":"number node, value=3866","layer":4},{"info":"compute binary expreesion, left_input=6633, right_input=3866, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=7482","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=7482, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-174","layer":0}],"base":10,"result_base":10,"text":"(((⩰⊺⇮6796)≀⩗∶(⩎⋉⊺⇮6175))⊨(⩒∊(⊺⇮6243⫳≱↱⊺⇮1067)))⋣⋖(⊺⇮1345⊢⊺⇮4684⩒⫫(⨦⪝⊺⇮1665)*(⊺⇮4469⪡⊺⇮3948)⊮⊟↴(⊺⇮6633⨑≵⋬⊺⇮3866))=⊺⇮-174","reverse_text":"⊺⇮-174=(((⩰⊺⇮6796)≀⩗∶(⩎⋉⊺⇮6175))⊨(⩒∊(⊺⇮6243⫳≱↱⊺⇮1067)))⋣⋖(⊺⇮1345⊢⊺⇮4684⩒⫫(⨦⪝⊺⇮1665)*(⊺⇮4469⪡⊺⇮3948)⊮⊟↴(⊺⇮6633⨑≵⋬⊺⇮3866))","cot":[{"info":"⩰⊺⇮6796=⊺⇮-7796","layer":3},{"info":"⩎⋉⊺⇮6175=⊺⇮1650","layer":3},{"info":"⊺⇮-7796≀⩗∶⊺⇮1650=⊺⇮3","layer":2},{"info":"⊺⇮6243⫳≱↱⊺⇮1067=⊺⇮-204","layer":3},{"info":"⩒∊⊺⇮-204=⊺⇮-1885","layer":2},{"info":"⊺⇮3⊨⊺⇮-1885=⊺⇮-174","layer":1},{"info":"⊺⇮1345⊢⊺⇮4684=⊺⇮-2934","layer":3},{"info":"⨦⪝⊺⇮1665=⊺⇮-1884","layer":3},{"info":"⊺⇮-2934⩒⫫⊺⇮-1884=⊺⇮160","layer":2},{"info":"⊺⇮4469⪡⊺⇮3948=⊺⇮107","layer":3},{"info":"⊺⇮6633⨑≵⋬⊺⇮3866=⊺⇮7482","layer":3},{"info":"⊺⇮107⊮⊟↴⊺⇮7482=⊺⇮0","layer":2},{"info":"⊺⇮160*⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮-174⋣⋖⊺⇮0=⊺⇮-174","layer":0}]}
{"id":100,"expression_no_base_symbol":"(⇤←$1131$⋓$2487$)⊉≛↸(⊁⨺$2869$⪒⊣⊆$1266$)⨸⪁(⫛⫱⨽($1034$↬$1892$))⋝⋈⪟(↥≼⋛$1317$)+⪬∐($4430$⋛$2842$)","expression":"(⇤←⊺⇮1131⋓⊺⇮2487)⊉≛↸(⊁⨺⊺⇮2869⪒⊣⊆⊺⇮1266)⨸⪁(⫛⫱⨽(⊺⇮1034↬⊺⇮1892))⋝⋈⪟(↥≼⋛⊺⇮1317)+⪬∐(⊺⇮4430⋛⊺⇮2842)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1251,"operation_count":12,"complexity_ratio":104.25,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1131,"base":10},"right_expr":{"type":"numeric_atoms","value":2487,"base":10}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2869,"base":10},"right_expr":{"type":"numeric_atoms","value":1266,"base":10}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1034,"base":10},"right_expr":{"type":"numeric_atoms","value":1892,"base":10}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1317,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4430,"base":10},"right_expr":{"type":"numeric_atoms","value":2842,"base":10}}}}},"used_operators":["g55IO6H4Gj","DZ8iAZOCBD","jfAgQ2OQeM","T2fj7uvVaJ","PxiHyQbrIp","eRqsBgTDFp","2DDjHMKMc0","DlLNRPXxWL","B5M0gjZbta","2GS7woTJqF","x5lMkHmzsq","YbUVn0Rbpy"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=2487, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1366","layer":2},{"info":"number node, value=2869","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=2869, right_input=1266, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5738","layer":3},{"info":"compute unary expreesion, input=5738, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1366, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2732","layer":1},{"info":"number node, value=1034","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=1892, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=4430","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=4430, right_input=2842, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-92322","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=-92322, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=339","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=339, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2732, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇤←⊺⇮1131⋓⊺⇮2487)⊉≛↸(⊁⨺⊺⇮2869⪒⊣⊆⊺⇮1266)⨸⪁(⫛⫱⨽(⊺⇮1034↬⊺⇮1892))⋝⋈⪟(↥≼⋛⊺⇮1317)+⪬∐(⊺⇮4430⋛⊺⇮2842)=NaN","reverse_text":"NaN=(⇤←⊺⇮1131⋓⊺⇮2487)⊉≛↸(⊁⨺⊺⇮2869⪒⊣⊆⊺⇮1266)⨸⪁(⫛⫱⨽(⊺⇮1034↬⊺⇮1892))⋝⋈⪟(↥≼⋛⊺⇮1317)+⪬∐(⊺⇮4430⋛⊺⇮2842)","cot":[{"info":"⊺⇮1131⋓⊺⇮2487=⊺⇮0","layer":3},{"info":"⇤←⊺⇮0=⊺⇮1366","layer":2},{"info":"⊺⇮2869⪒⊣⊆⊺⇮1266=⊺⇮5738","layer":3},{"info":"⊁⨺⊺⇮5738=⊺⇮160","layer":2},{"info":"⊺⇮1366⊉≛↸⊺⇮160=⊺⇮2732","layer":1},{"info":"⊺⇮1034↬⊺⇮1892=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"↥≼⋛⊺⇮1317=⊺⇮-113","layer":3},{"info":"⊺⇮4430⋛⊺⇮2842=⊺⇮-92322","layer":3},{"info":"⊺⇮-113+⪬∐⊺⇮-92322=⊺⇮339","layer":2},{"info":"NaN⋝⋈⪟⊺⇮339=NaN","layer":1},{"info":"⊺⇮2732⨸⪁NaN=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"(⨣⨃⇪$5249$)⇂≾⫗($4319$≄⊠$5387$)∀⇚≩(⨭⩧⫛$2134$)≀⫉($5424$⨘)⋷(⫓⪴$1776$⨑⩅≇$4806$)⪭$1420$⋕⪉⪜$3656$⪢$3274$∓⋝$5370$","expression":"(⨣⨃⇪⊺⇮5249)⇂≾⫗(⊺⇮4319≄⊠⊺⇮5387)∀⇚≩(⨭⩧⫛⊺⇮2134)≀⫉(⊺⇮5424⨘)⋷(⫓⪴⊺⇮1776⨑⩅≇⊺⇮4806)⪭⊺⇮1420⋕⪉⪜⊺⇮3656⪢⊺⇮3274∓⋝⊺⇮5370","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20885,"operation_count":14,"complexity_ratio":1491.7857142857142,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":5249,"base":10}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4319,"base":10},"right_expr":{"type":"numeric_atoms","value":5387,"base":10}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2134,"base":10}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":5424,"base":10}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1776,"base":10},"right_expr":{"type":"numeric_atoms","value":4806,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1420,"base":10},"right_expr":{"type":"numeric_atoms","value":3656,"base":10}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3274,"base":10},"right_expr":{"type":"numeric_atoms","value":5370,"base":10}}}}},"used_operators":["23Mk6UjR3U","LRNGc0VcxI","aBQ6xLxuTc","AcOhelriW5","vXNesLlMH1","oZj3VtZNQx","g21JL6JxX7","ljcfZBUpm8","j9kHMeSvPp","eLxqMNBOBk","h92wMvzauj","dWAJyo7jo9","z6LnFrNh4i","PoHhknlbAi"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","COABgblf1C","xUOZtlo3hN","9HNa5Wba9A","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","k8jYdgA6NY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5249","layer":4},{"info":"compute unary expreesion, input=5249, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=4319","layer":4},{"info":"number node, value=5387","layer":4},{"info":"compute binary expreesion, left_input=4319, right_input=5387, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=90860","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=90860, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"number node, value=2134","layer":4},{"info":"compute unary expreesion, input=2134, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=5424","layer":4},{"info":"compute unary expreesion, input=5424, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-38743","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-38743, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1776","layer":4},{"info":"number node, value=4806","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=4806, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5328","layer":3},{"info":"compute unary expreesion, input=-5328, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=28387584","layer":2},{"info":"number node, value=1420","layer":4},{"info":"number node, value=3656","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=3656, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=3274","layer":4},{"info":"number node, value=5370","layer":4},{"info":"compute binary expreesion, left_input=3274, right_input=5370, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=67, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=28387584, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨣⨃⇪⊺⇮5249)⇂≾⫗(⊺⇮4319≄⊠⊺⇮5387)∀⇚≩(⨭⩧⫛⊺⇮2134)≀⫉(⊺⇮5424⨘)⋷(⫓⪴⊺⇮1776⨑⩅≇⊺⇮4806)⪭⊺⇮1420⋕⪉⪜⊺⇮3656⪢⊺⇮3274∓⋝⊺⇮5370=NaN","reverse_text":"NaN=(⨣⨃⇪⊺⇮5249)⇂≾⫗(⊺⇮4319≄⊠⊺⇮5387)∀⇚≩(⨭⩧⫛⊺⇮2134)≀⫉(⊺⇮5424⨘)⋷(⫓⪴⊺⇮1776⨑⩅≇⊺⇮4806)⪭⊺⇮1420⋕⪉⪜⊺⇮3656⪢⊺⇮3274∓⋝⊺⇮5370","cot":[{"info":"⨣⨃⇪⊺⇮5249=⊺⇮1405","layer":3},{"info":"⊺⇮4319≄⊠⊺⇮5387=⊺⇮90860","layer":3},{"info":"⊺⇮1405⇂≾⫗⊺⇮90860=⊺⇮-676","layer":2},{"info":"⨭⩧⫛⊺⇮2134=NaN","layer":3},{"info":"⊺⇮5424⨘=⊺⇮-38743","layer":3},{"info":"NaN≀⫉⊺⇮-38743=NaN","layer":2},{"info":"⊺⇮-676∀⇚≩NaN=NaN","layer":1},{"info":"⊺⇮1776⨑⩅≇⊺⇮4806=⊺⇮-5328","layer":3},{"info":"⫓⪴⊺⇮-5328=⊺⇮28387584","layer":2},{"info":"⊺⇮1420⋕⪉⪜⊺⇮3656=⊺⇮204","layer":3},{"info":"⊺⇮3274∓⋝⊺⇮5370=⊺⇮67","layer":3},{"info":"⊺⇮204⪢⊺⇮67=NaN","layer":2},{"info":"⊺⇮28387584⪭NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":102,"expression_no_base_symbol":"((⫛⫱⨽($2250$≑≱⪘))⋥≓≎(⨈⪑$1621$⊴$3868$))⩼⇪↪($2226$+⪬∐$5863$⫌⩉⩟$1037$⫌⩉⩟$3019$)∳⫺($4913$⪥$4407$⋆⋳)","expression":"((⫛⫱⨽(⊺⇮2250≑≱⪘))⋥≓≎(⨈⪑⊺⇮1621⊴⊺⇮3868))⩼⇪↪(⊺⇮2226+⪬∐⊺⇮5863⫌⩉⩟⊺⇮1037⫌⩉⩟⊺⇮3019)∳⫺(⊺⇮4913⪥⊺⇮4407⋆⋳)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25192,"operation_count":12,"complexity_ratio":2099.3333333333335,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2250,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1621,"base":10},"right_expr":{"type":"numeric_atoms","value":3868,"base":10}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2226,"base":10},"right_expr":{"type":"numeric_atoms","value":5863,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1037,"base":10},"right_expr":{"type":"numeric_atoms","value":3019,"base":10}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4913,"base":10},"right_expr":{"type":"numeric_atoms","value":4407,"base":10}}}}},"used_operators":["ocnLzx9CaJ","Qy55tPpLXF","DlLNRPXxWL","tGSeddj7UK","mp94q5OcYM","Nsiff2A1zJ","AzXXKTstlj","XIIwhv8d0m","2GS7woTJqF","6MpZysEj17","QbnwKVWMIQ"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","dWAJyo7jo9","14qkJME0vr","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2250","layer":4},{"info":"compute unary expreesion, input=2250, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=54865","layer":3},{"info":"compute unary expreesion, input=54865, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1621","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=3868, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=2226","layer":4},{"info":"number node, value=5863","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=5863, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6678","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=3019, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-6678, right_input=-50, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-35828","layer":2},{"info":"number node, value=4913","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=4913, right_input=4407, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=24304","layer":3},{"info":"compute unary expreesion, input=24304, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-48640","layer":2},{"info":"compute binary expreesion, left_input=-35828, right_input=-48640, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-45970","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-45970, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⫛⫱⨽(⊺⇮2250≑≱⪘))⋥≓≎(⨈⪑⊺⇮1621⊴⊺⇮3868))⩼⇪↪(⊺⇮2226+⪬∐⊺⇮5863⫌⩉⩟⊺⇮1037⫌⩉⩟⊺⇮3019)∳⫺(⊺⇮4913⪥⊺⇮4407⋆⋳)=NaN","reverse_text":"NaN=((⫛⫱⨽(⊺⇮2250≑≱⪘))⋥≓≎(⨈⪑⊺⇮1621⊴⊺⇮3868))⩼⇪↪(⊺⇮2226+⪬∐⊺⇮5863⫌⩉⩟⊺⇮1037⫌⩉⩟⊺⇮3019)∳⫺(⊺⇮4913⪥⊺⇮4407⋆⋳)","cot":[{"info":"⊺⇮2250≑≱⪘=⊺⇮54865","layer":3},{"info":"⫛⫱⨽⊺⇮54865=⊺⇮0","layer":2},{"info":"⊺⇮1621⊴⊺⇮3868=NaN","layer":3},{"info":"⨈⪑NaN=NaN","layer":2},{"info":"⊺⇮0⋥≓≎NaN=NaN","layer":1},{"info":"⊺⇮2226+⪬∐⊺⇮5863=⊺⇮-6678","layer":3},{"info":"⊺⇮1037⫌⩉⩟⊺⇮3019=⊺⇮-50","layer":3},{"info":"⊺⇮-6678⫌⩉⩟⊺⇮-50=⊺⇮-35828","layer":2},{"info":"⊺⇮4913⪥⊺⇮4407=⊺⇮24304","layer":3},{"info":"⊺⇮24304⋆⋳=⊺⇮-48640","layer":2},{"info":"⊺⇮-35828∳⫺⊺⇮-48640=⊺⇮-45970","layer":1},{"info":"NaN⩼⇪↪⊺⇮-45970=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"⪹((⫇$1048$)≧⫂∧($2590$-$7663$)∠⫱(≀↧⇸$1195$)∌($5384$⫿))","expression":"⪹((⫇⊺⇮1048)≧⫂∧(⊺⇮2590-⊺⇮7663)∠⫱(≀↧⇸⊺⇮1195)∌(⊺⇮5384⫿))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34,"operation_count":8,"complexity_ratio":4.25,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1048,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2590,"base":10},"right_expr":{"type":"numeric_atoms","value":7663,"base":10}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1195,"base":10}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":5384,"base":10}}}}},"used_operators":["USyYr0JgAa","QvoQhV0rrE","Ph9nP6C5qx","YjI8oCXuph","rysDP5nf3Z","8cLx32lpNA","ljTHtUsqzn","9tKT6PmtkH"],"dependent_operators":["tifHPKVTfV","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"⊺⇮-9395","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-882","layer":3},{"info":"number node, value=2590","layer":4},{"info":"number node, value=7663","layer":4},{"info":"compute binary expreesion, left_input=2590, right_input=7663, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5073","layer":3},{"info":"compute binary expreesion, left_input=-882, right_input=-5073, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4191","layer":2},{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2390","layer":3},{"info":"number node, value=5384","layer":4},{"info":"compute unary expreesion, input=5384, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=5384","layer":3},{"info":"compute binary expreesion, left_input=2390, right_input=5384, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5384","layer":2},{"info":"compute binary expreesion, left_input=4191, right_input=-5384, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=9575","layer":1},{"info":"compute unary expreesion, input=9575, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-9395","layer":0}],"base":10,"result_base":10,"text":"⪹((⫇⊺⇮1048)≧⫂∧(⊺⇮2590-⊺⇮7663)∠⫱(≀↧⇸⊺⇮1195)∌(⊺⇮5384⫿))=⊺⇮-9395","reverse_text":"⊺⇮-9395=⪹((⫇⊺⇮1048)≧⫂∧(⊺⇮2590-⊺⇮7663)∠⫱(≀↧⇸⊺⇮1195)∌(⊺⇮5384⫿))","cot":[{"info":"⫇⊺⇮1048=⊺⇮-882","layer":3},{"info":"⊺⇮2590-⊺⇮7663=⊺⇮-5073","layer":3},{"info":"⊺⇮-882≧⫂∧⊺⇮-5073=⊺⇮4191","layer":2},{"info":"≀↧⇸⊺⇮1195=⊺⇮2390","layer":3},{"info":"⊺⇮5384⫿=⊺⇮5384","layer":3},{"info":"⊺⇮2390∌⊺⇮5384=⊺⇮-5384","layer":2},{"info":"⊺⇮4191∠⫱⊺⇮-5384=⊺⇮9575","layer":1},{"info":"⪹⊺⇮9575=⊺⇮-9395","layer":0}]}
{"id":104,"expression_no_base_symbol":"(($5194$⨑≵⋬$3223$)⊔($2678$⩵∡$1299$)⨒(∤↝($4410$⊎←↗)))⩍⋽⫝̸(($3616$⊕∕$1338$↠)⩌⋺($3694$⋕⪉⪜$1020$⪡$4541$⫒⫫$5057$))","expression":"((⊺⇮5194⨑≵⋬⊺⇮3223)⊔(⊺⇮2678⩵∡⊺⇮1299)⨒(∤↝(⊺⇮4410⊎←↗)))⩍⋽⫝̸((⊺⇮3616⊕∕⊺⇮1338↠)⩌⋺(⊺⇮3694⋕⪉⪜⊺⇮1020⪡⊺⇮4541⫒⫫⊺⇮5057))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":145,"operation_count":13,"complexity_ratio":11.153846153846153,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5194,"base":10},"right_expr":{"type":"numeric_atoms","value":3223,"base":10}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2678,"base":10},"right_expr":{"type":"numeric_atoms","value":1299,"base":10}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":4410,"base":10}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3616,"base":10},"right_expr":{"type":"numeric_atoms","value":1338,"base":10}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3694,"base":10},"right_expr":{"type":"numeric_atoms","value":1020,"base":10}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4541,"base":10},"right_expr":{"type":"numeric_atoms","value":5057,"base":10}}}}},"used_operators":["BiWNJpBvwn","y75s1iXyHd","E4l6HwMY31","XnXgA4xnOs","Y7wcNGrDQJ","3UMq87Qwqg","dwb5p0fa6d","g7Hmc5v1ko","LBdsKIvxzf","9cloC0Ngie","oraRL2iQuh","z6LnFrNh4i","6Ko8hGgeMq"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","sdazOOVcIp","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5194","layer":4},{"info":"number node, value=3223","layer":4},{"info":"compute binary expreesion, left_input=5194, right_input=3223, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=4788","layer":3},{"info":"number node, value=2678","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=1299, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4178","layer":3},{"info":"compute binary expreesion, left_input=4788, right_input=-4178, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9541","layer":2},{"info":"number node, value=4410","layer":4},{"info":"compute unary expreesion, input=4410, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-8135","layer":3},{"info":"compute unary expreesion, input=-8135, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=-8135","layer":2},{"info":"compute binary expreesion, left_input=9541, right_input=-8135, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"number node, value=3616","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=1338, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3616","layer":3},{"info":"compute unary expreesion, input=3616, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"number node, value=3694","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=3694, right_input=1020, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=4541","layer":4},{"info":"number node, value=5057","layer":4},{"info":"compute binary expreesion, left_input=4541, right_input=5057, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5194⨑≵⋬⊺⇮3223)⊔(⊺⇮2678⩵∡⊺⇮1299)⨒(∤↝(⊺⇮4410⊎←↗)))⩍⋽⫝̸((⊺⇮3616⊕∕⊺⇮1338↠)⩌⋺(⊺⇮3694⋕⪉⪜⊺⇮1020⪡⊺⇮4541⫒⫫⊺⇮5057))=NaN","reverse_text":"NaN=((⊺⇮5194⨑≵⋬⊺⇮3223)⊔(⊺⇮2678⩵∡⊺⇮1299)⨒(∤↝(⊺⇮4410⊎←↗)))⩍⋽⫝̸((⊺⇮3616⊕∕⊺⇮1338↠)⩌⋺(⊺⇮3694⋕⪉⪜⊺⇮1020⪡⊺⇮4541⫒⫫⊺⇮5057))","cot":[{"info":"⊺⇮5194⨑≵⋬⊺⇮3223=⊺⇮4788","layer":3},{"info":"⊺⇮2678⩵∡⊺⇮1299=⊺⇮-4178","layer":3},{"info":"⊺⇮4788⊔⊺⇮-4178=⊺⇮9541","layer":2},{"info":"⊺⇮4410⊎←↗=⊺⇮-8135","layer":3},{"info":"∤↝⊺⇮-8135=⊺⇮-8135","layer":2},{"info":"⊺⇮9541⨒⊺⇮-8135=⊺⇮0","layer":1},{"info":"⊺⇮3616⊕∕⊺⇮1338=⊺⇮3616","layer":3},{"info":"⊺⇮3616↠=⊺⇮-447","layer":2},{"info":"⊺⇮3694⋕⪉⪜⊺⇮1020=⊺⇮2802","layer":3},{"info":"⊺⇮4541⫒⫫⊺⇮5057=NaN","layer":3},{"info":"⊺⇮2802⪡NaN=NaN","layer":2},{"info":"⊺⇮-447⩌⋺NaN=NaN","layer":1},{"info":"⊺⇮0⩍⋽⫝̸NaN=NaN","layer":0}]}
{"id":105,"expression_no_base_symbol":"(($2788$⊢$6582$⫌⩹⨱)⫑%∭)∑⇟⊟(⊀((⊵⊁$5593$)≀⩗∶$2684$⨳⩥⨓$4929$))","expression":"((⊺⇮2788⊢⊺⇮6582⫌⩹⨱)⫑%∭)∑⇟⊟(⊀((⊵⊁⊺⇮5593)≀⩗∶⊺⇮2684⨳⩥⨓⊺⇮4929))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":69693,"operation_count":8,"complexity_ratio":8711.625,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2788,"base":10},"right_expr":{"type":"numeric_atoms","value":6582,"base":10}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":5593,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2684,"base":10},"right_expr":{"type":"numeric_atoms","value":4929,"base":10}}}}},"used_operators":["U7g4x0WXJJ","xUx7qlDO4z","EBcxylXtPf","5twsqlHp2o","oPMjh9089D","8INZBEW696","AvED76WdY7","nCS4ZIUYfx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2788","layer":4},{"info":"number node, value=6582","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=6582, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5820","layer":3},{"info":"compute unary expreesion, input=-5820, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-10239","layer":2},{"info":"compute unary expreesion, input=-10239, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"number node, value=5593","layer":4},{"info":"compute unary expreesion, input=5593, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=32488","layer":3},{"info":"number node, value=2684","layer":4},{"info":"number node, value=4929","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=4929, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2245","layer":3},{"info":"compute binary expreesion, left_input=32488, right_input=2245, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=-262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-262, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2788⊢⊺⇮6582⫌⩹⨱)⫑%∭)∑⇟⊟(⊀((⊵⊁⊺⇮5593)≀⩗∶⊺⇮2684⨳⩥⨓⊺⇮4929))=NaN","reverse_text":"NaN=((⊺⇮2788⊢⊺⇮6582⫌⩹⨱)⫑%∭)∑⇟⊟(⊀((⊵⊁⊺⇮5593)≀⩗∶⊺⇮2684⨳⩥⨓⊺⇮4929))","cot":[{"info":"⊺⇮2788⊢⊺⇮6582=⊺⇮-5820","layer":3},{"info":"⊺⇮-5820⫌⩹⨱=⊺⇮-10239","layer":2},{"info":"⊺⇮-10239⫑%∭=NaN","layer":1},{"info":"⊵⊁⊺⇮5593=⊺⇮32488","layer":3},{"info":"⊺⇮2684⨳⩥⨓⊺⇮4929=⊺⇮2245","layer":3},{"info":"⊺⇮32488≀⩗∶⊺⇮2245=⊺⇮0","layer":2},{"info":"⊀⊺⇮0=⊺⇮-262","layer":1},{"info":"NaN∑⇟⊟⊺⇮-262=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(⊥(($1878$⫡⨏$6198$)⇔⨋))≁(($1741$⪪$4766$)⩌⋺$3768$⊢$5009$)⇂≾⫗(⨡↴($3738$⪁$1561$))","expression":"(⊥((⊺⇮1878⫡⨏⊺⇮6198)⇔⨋))≁((⊺⇮1741⪪⊺⇮4766)⩌⋺⊺⇮3768⊢⊺⇮5009)⇂≾⫗(⨡↴(⊺⇮3738⪁⊺⇮1561))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23948708,"operation_count":10,"complexity_ratio":2394870.8,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1878,"base":10},"right_expr":{"type":"numeric_atoms","value":6198,"base":10}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1741,"base":10},"right_expr":{"type":"numeric_atoms","value":4766,"base":10}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3768,"base":10},"right_expr":{"type":"numeric_atoms","value":5009,"base":10}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3738,"base":10},"right_expr":{"type":"numeric_atoms","value":1561,"base":10}}}}},"used_operators":["8N2wDY1A35","Q3PJZHRvZv","uBihLCJcMX","QMFrweE19q","aBQ6xLxuTc","g7Hmc5v1ko","xD69zh8xqp","5twsqlHp2o","liw5iZPkLH","I7sXao9hZE"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","fu6greOZ01","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","P8v4zCKN1o","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1878","layer":4},{"info":"number node, value=6198","layer":4},{"info":"compute binary expreesion, left_input=1878, right_input=6198, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22569","layer":3},{"info":"compute unary expreesion, input=22569, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=134344","layer":2},{"info":"compute unary expreesion, input=134344, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=1741","layer":4},{"info":"number node, value=4766","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=4766, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-258980","layer":3},{"info":"number node, value=3768","layer":4},{"info":"number node, value=5009","layer":4},{"info":"compute binary expreesion, left_input=3768, right_input=5009, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7780","layer":3},{"info":"compute binary expreesion, left_input=-258980, right_input=-7780, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=266639","layer":2},{"info":"number node, value=3738","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=3738, right_input=1561, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=266639, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊥((⊺⇮1878⫡⨏⊺⇮6198)⇔⨋))≁((⊺⇮1741⪪⊺⇮4766)⩌⋺⊺⇮3768⊢⊺⇮5009)⇂≾⫗(⨡↴(⊺⇮3738⪁⊺⇮1561))=NaN","reverse_text":"NaN=(⊥((⊺⇮1878⫡⨏⊺⇮6198)⇔⨋))≁((⊺⇮1741⪪⊺⇮4766)⩌⋺⊺⇮3768⊢⊺⇮5009)⇂≾⫗(⨡↴(⊺⇮3738⪁⊺⇮1561))","cot":[{"info":"⊺⇮1878⫡⨏⊺⇮6198=⊺⇮22569","layer":3},{"info":"⊺⇮22569⇔⨋=⊺⇮134344","layer":2},{"info":"⊥⊺⇮134344=NaN","layer":1},{"info":"⊺⇮1741⪪⊺⇮4766=⊺⇮-258980","layer":3},{"info":"⊺⇮3768⊢⊺⇮5009=⊺⇮-7780","layer":3},{"info":"⊺⇮-258980⩌⋺⊺⇮-7780=⊺⇮266639","layer":2},{"info":"⊺⇮3738⪁⊺⇮1561=NaN","layer":3},{"info":"⨡↴NaN=NaN","layer":2},{"info":"⊺⇮266639⇂≾⫗NaN=NaN","layer":1},{"info":"NaN≁NaN=NaN","layer":0}]}
{"id":107,"expression_no_base_symbol":"∡(($5281$⋥≓≎$3098$⇮⋭$3141$⪘⫢$1079$)⨝⩣∺)","expression":"∡((⊺⇮5281⋥≓≎⊺⇮3098⇮⋭⊺⇮3141⪘⫢⊺⇮1079)⨝⩣∺)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":79,"operation_count":5,"complexity_ratio":15.8,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5281,"base":10},"right_expr":{"type":"numeric_atoms","value":3098,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3141,"base":10},"right_expr":{"type":"numeric_atoms","value":1079,"base":10}}}}},"used_operators":["pRsWfj4Fpp","ancx8kZcWl","vkpjKywKVM","Qy55tPpLXF","oacrs7FA3X"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","DZ8iAZOCBD","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⊺⇮2838","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=5281","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=5281, right_input=3098, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=948","layer":3},{"info":"number node, value=3141","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=1079, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6158","layer":3},{"info":"compute binary expreesion, left_input=948, right_input=6158, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=2838","layer":0}],"base":10,"result_base":10,"text":"∡((⊺⇮5281⋥≓≎⊺⇮3098⇮⋭⊺⇮3141⪘⫢⊺⇮1079)⨝⩣∺)=⊺⇮2838","reverse_text":"⊺⇮2838=∡((⊺⇮5281⋥≓≎⊺⇮3098⇮⋭⊺⇮3141⪘⫢⊺⇮1079)⨝⩣∺)","cot":[{"info":"⊺⇮5281⋥≓≎⊺⇮3098=⊺⇮948","layer":3},{"info":"⊺⇮3141⪘⫢⊺⇮1079=⊺⇮6158","layer":3},{"info":"⊺⇮948⇮⋭⊺⇮6158=⊺⇮-473","layer":2},{"info":"⊺⇮-473⨝⩣∺=⊺⇮-473","layer":1},{"info":"∡⊺⇮-473=⊺⇮2838","layer":0}]}
{"id":108,"expression_no_base_symbol":"($1811$⪕$1852$⪨⊡$8151$⪍↜⋙$5639$)⇣⩺⋵(⨙⪌(∮$2216$))⪉⨛($1445$∖$1889$)⨫⇇↔(⇨$1088$)⇮⋭($7600$⪔⊥$3380$)⪬($2662$⋛$2781$)","expression":"(⊺⇮1811⪕⊺⇮1852⪨⊡⊺⇮8151⪍↜⋙⊺⇮5639)⇣⩺⋵(⨙⪌(∮⊺⇮2216))⪉⨛(⊺⇮1445∖⊺⇮1889)⨫⇇↔(⇨⊺⇮1088)⇮⋭(⊺⇮7600⪔⊥⊺⇮3380)⪬(⊺⇮2662⋛⊺⇮2781)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2558,"operation_count":14,"complexity_ratio":182.71428571428572,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1811,"base":10},"right_expr":{"type":"numeric_atoms","value":1852,"base":10}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":8151,"base":10},"right_expr":{"type":"numeric_atoms","value":5639,"base":10}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2216,"base":10}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1445,"base":10},"right_expr":{"type":"numeric_atoms","value":1889,"base":10}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1088,"base":10}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":7600,"base":10},"right_expr":{"type":"numeric_atoms","value":3380,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2662,"base":10},"right_expr":{"type":"numeric_atoms","value":2781,"base":10}}}}},"used_operators":["EWw2JM7wp4","F4yD0voBRQ","kuIXHzHcAH","umQnsF7QlU","L05ObWFQCd","vEGLkm4Z2k","CqXKPLVYql","vkpjKywKVM","LXhwmt4mBO","tXD093vOjl","G9tJMlZ94a","Ez1Nq5fNfI","HJ9erzHUuu","YbUVn0Rbpy"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","k8jYdgA6NY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⊺⇮-5008","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1811","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=1852, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2671","layer":3},{"info":"number node, value=8151","layer":4},{"info":"number node, value=5639","layer":4},{"info":"compute binary expreesion, left_input=8151, right_input=5639, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=5024","layer":3},{"info":"compute binary expreesion, left_input=2671, right_input=5024, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2216","layer":4},{"info":"compute unary expreesion, input=2216, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1674","layer":1},{"info":"number node, value=1445","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=1889, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=7600","layer":4},{"info":"number node, value=3380","layer":4},{"info":"compute binary expreesion, left_input=7600, right_input=3380, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=23441","layer":3},{"info":"number node, value=2662","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=2662, right_input=2781, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-108234","layer":3},{"info":"compute binary expreesion, left_input=23441, right_input=-108234, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=1234, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-1674, right_input=67, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-5008","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1811⪕⊺⇮1852⪨⊡⊺⇮8151⪍↜⋙⊺⇮5639)⇣⩺⋵(⨙⪌(∮⊺⇮2216))⪉⨛(⊺⇮1445∖⊺⇮1889)⨫⇇↔(⇨⊺⇮1088)⇮⋭(⊺⇮7600⪔⊥⊺⇮3380)⪬(⊺⇮2662⋛⊺⇮2781)=⊺⇮-5008","reverse_text":"⊺⇮-5008=(⊺⇮1811⪕⊺⇮1852⪨⊡⊺⇮8151⪍↜⋙⊺⇮5639)⇣⩺⋵(⨙⪌(∮⊺⇮2216))⪉⨛(⊺⇮1445∖⊺⇮1889)⨫⇇↔(⇨⊺⇮1088)⇮⋭(⊺⇮7600⪔⊥⊺⇮3380)⪬(⊺⇮2662⋛⊺⇮2781)","cot":[{"info":"⊺⇮1811⪕⊺⇮1852=⊺⇮2671","layer":3},{"info":"⊺⇮8151⪍↜⋙⊺⇮5639=⊺⇮5024","layer":3},{"info":"⊺⇮2671⪨⊡⊺⇮5024=⊺⇮0","layer":2},{"info":"∮⊺⇮2216=⊺⇮67","layer":3},{"info":"⨙⪌⊺⇮67=⊺⇮868","layer":2},{"info":"⊺⇮0⇣⩺⋵⊺⇮868=⊺⇮-1674","layer":1},{"info":"⊺⇮1445∖⊺⇮1889=⊺⇮0","layer":3},{"info":"⇨⊺⇮1088=⊺⇮0","layer":3},{"info":"⊺⇮0⨫⇇↔⊺⇮0=⊺⇮-527","layer":2},{"info":"⊺⇮7600⪔⊥⊺⇮3380=⊺⇮23441","layer":3},{"info":"⊺⇮2662⋛⊺⇮2781=⊺⇮-108234","layer":3},{"info":"⊺⇮23441⪬⊺⇮-108234=⊺⇮1234","layer":2},{"info":"⊺⇮-527⇮⋭⊺⇮1234=⊺⇮67","layer":1},{"info":"⊺⇮-1674⪉⨛⊺⇮67=⊺⇮-5008","layer":0}]}
{"id":109,"expression_no_base_symbol":"((($5263$≭$3601$)≚⋢)⩹($6257$⪚$6995$)⩖⊿($6163$⨚$1012$))⫳≱↱(∜⨇$3361$)⪍↜⋙$4631$↞⋁$4624$⇌⫙⪟((⊬↢$5651$)⪒$1602$⫸⇳$1827$)","expression":"(((⊺⇮5263≭⊺⇮3601)≚⋢)⩹(⊺⇮6257⪚⊺⇮6995)⩖⊿(⊺⇮6163⨚⊺⇮1012))⫳≱↱(∜⨇⊺⇮3361)⪍↜⋙⊺⇮4631↞⋁⊺⇮4624⇌⫙⪟((⊬↢⊺⇮5651)⪒⊺⇮1602⫸⇳⊺⇮1827)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6191,"operation_count":14,"complexity_ratio":442.2142857142857,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5263,"base":10},"right_expr":{"type":"numeric_atoms","value":3601,"base":10}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":6257,"base":10},"right_expr":{"type":"numeric_atoms","value":6995,"base":10}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":6163,"base":10},"right_expr":{"type":"numeric_atoms","value":1012,"base":10}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":3361,"base":10}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4631,"base":10},"right_expr":{"type":"numeric_atoms","value":4624,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":5651,"base":10}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1602,"base":10},"right_expr":{"type":"numeric_atoms","value":1827,"base":10}}}}},"used_operators":["ZvLB05nZmT","2Wsdkap16l","MahUMFw56D","rxpJgHHUmx","RZ5CV9rWsJ","HrjLwUk87U","nREPSIbpBE","AFVx7xoS7T","L05ObWFQCd","uFPyJr306J","RqrPlJkxDo","f6k1SAg4EE","WPoGxAaPR1","gx7XJ7hdpj"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","3ViojmjbAp","AHs5Up7iyr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","BjRHVeLaeN","12rbrZMWeM","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⊺⇮-2802","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5263","layer":4},{"info":"number node, value=3601","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=3601, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=6257","layer":4},{"info":"number node, value=6995","layer":4},{"info":"compute binary expreesion, left_input=6257, right_input=6995, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1832","layer":3},{"info":"number node, value=6163","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=6163, right_input=1012, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=9212","layer":3},{"info":"compute binary expreesion, left_input=-1832, right_input=9212, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-16510","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=-16510, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-16512","layer":1},{"info":"number node, value=3361","layer":4},{"info":"compute unary expreesion, input=3361, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=4631","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=4631, right_input=4624, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"number node, value=5651","layer":4},{"info":"compute unary expreesion, input=5651, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=1602","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=1827, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-218","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-218, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-16512, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮5263≭⊺⇮3601)≚⋢)⩹(⊺⇮6257⪚⊺⇮6995)⩖⊿(⊺⇮6163⨚⊺⇮1012))⫳≱↱(∜⨇⊺⇮3361)⪍↜⋙⊺⇮4631↞⋁⊺⇮4624⇌⫙⪟((⊬↢⊺⇮5651)⪒⊺⇮1602⫸⇳⊺⇮1827)=⊺⇮-2802","reverse_text":"⊺⇮-2802=(((⊺⇮5263≭⊺⇮3601)≚⋢)⩹(⊺⇮6257⪚⊺⇮6995)⩖⊿(⊺⇮6163⨚⊺⇮1012))⫳≱↱(∜⨇⊺⇮3361)⪍↜⋙⊺⇮4631↞⋁⊺⇮4624⇌⫙⪟((⊬↢⊺⇮5651)⪒⊺⇮1602⫸⇳⊺⇮1827)","cot":[{"info":"⊺⇮5263≭⊺⇮3601=NaN","layer":3},{"info":"NaN≚⋢=⊺⇮-89","layer":2},{"info":"⊺⇮6257⪚⊺⇮6995=⊺⇮-1832","layer":3},{"info":"⊺⇮6163⨚⊺⇮1012=⊺⇮9212","layer":3},{"info":"⊺⇮-1832⩖⊿⊺⇮9212=⊺⇮-16510","layer":2},{"info":"⊺⇮-89⩹⊺⇮-16510=⊺⇮-16512","layer":1},{"info":"∜⨇⊺⇮3361=NaN","layer":3},{"info":"⊺⇮4631↞⋁⊺⇮4624=NaN","layer":3},{"info":"NaN⪍↜⋙NaN=NaN","layer":2},{"info":"⊬↢⊺⇮5651=⊺⇮218","layer":3},{"info":"⊺⇮1602⫸⇳⊺⇮1827=⊺⇮0","layer":3},{"info":"⊺⇮218⪒⊺⇮0=⊺⇮-218","layer":2},{"info":"NaN⇌⫙⪟⊺⇮-218=NaN","layer":1},{"info":"⊺⇮-16512⫳≱↱NaN=⊺⇮-2802","layer":0}]}
{"id":110,"expression_no_base_symbol":"((($5374$∑⇟⊟$7390$)∘($3001$⩨$2981$))≃⋄)⨐(($3596$⪟⇏$1061$∀⋜↑)⊹∫⫚(⋠∜$3216$⪝$1158$))","expression":"(((⊺⇮5374∑⇟⊟⊺⇮7390)∘(⊺⇮3001⩨⊺⇮2981))≃⋄)⨐((⊺⇮3596⪟⇏⊺⇮1061∀⋜↑)⊹∫⫚(⋠∜⊺⇮3216⪝⊺⇮1158))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":841,"operation_count":10,"complexity_ratio":84.1,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5374,"base":10},"right_expr":{"type":"numeric_atoms","value":7390,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3001,"base":10},"right_expr":{"type":"numeric_atoms","value":2981,"base":10}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3596,"base":10},"right_expr":{"type":"numeric_atoms","value":1061,"base":10}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3216,"base":10},"right_expr":{"type":"numeric_atoms","value":1158,"base":10}}}}},"used_operators":["Noe24qw2ks","aN9a90urxU","Z5m6OM72h2","U7g4x0WXJJ","2DlMacCsIx","uWAJUKEvyW","KipPnG1M2J","GODebY97qR","ZJpFhNJr3x","wicAB68Tmb"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","uFcxV4UQCh","jLgFTUHLKL","eH2TOUuTDT","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5374","layer":4},{"info":"number node, value=7390","layer":4},{"info":"compute binary expreesion, left_input=5374, right_input=7390, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3001","layer":4},{"info":"number node, value=2981","layer":4},{"info":"compute binary expreesion, left_input=3001, right_input=2981, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":1},{"info":"number node, value=3596","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=3596, right_input=1061, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-487","layer":2},{"info":"number node, value=3216","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=1158, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-8631","layer":3},{"info":"compute unary expreesion, input=-8631, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-32240","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=-32240, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮5374∑⇟⊟⊺⇮7390)∘(⊺⇮3001⩨⊺⇮2981))≃⋄)⨐((⊺⇮3596⪟⇏⊺⇮1061∀⋜↑)⊹∫⫚(⋠∜⊺⇮3216⪝⊺⇮1158))=NaN","reverse_text":"NaN=(((⊺⇮5374∑⇟⊟⊺⇮7390)∘(⊺⇮3001⩨⊺⇮2981))≃⋄)⨐((⊺⇮3596⪟⇏⊺⇮1061∀⋜↑)⊹∫⫚(⋠∜⊺⇮3216⪝⊺⇮1158))","cot":[{"info":"⊺⇮5374∑⇟⊟⊺⇮7390=NaN","layer":3},{"info":"⊺⇮3001⩨⊺⇮2981=⊺⇮0","layer":3},{"info":"NaN∘⊺⇮0=NaN","layer":2},{"info":"NaN≃⋄=NaN","layer":1},{"info":"⊺⇮3596⪟⇏⊺⇮1061=⊺⇮-1","layer":3},{"info":"⊺⇮-1∀⋜↑=⊺⇮-487","layer":2},{"info":"⊺⇮3216⪝⊺⇮1158=⊺⇮-8631","layer":3},{"info":"⋠∜⊺⇮-8631=⊺⇮-32240","layer":2},{"info":"⊺⇮-487⊹∫⫚⊺⇮-32240=⊺⇮-260","layer":1},{"info":"NaN⨐⊺⇮-260=NaN","layer":0}]}
{"id":111,"expression_no_base_symbol":"((⊀$1026$)⇼⇔∾$1680$↞⋁$6089$)⪥(($2859$⋝⋈⪟$1063$)⊬⨰($8716$⨫⇇↔$2492$))⪚($4453$≎⪠$5156$⪶≀⋏($5472$≝⊰⇂))⪎↠($3532$∋$9341$+(⊑$3937$))","expression":"((⊀⊺⇮1026)⇼⇔∾⊺⇮1680↞⋁⊺⇮6089)⪥((⊺⇮2859⋝⋈⪟⊺⇮1063)⊬⨰(⊺⇮8716⨫⇇↔⊺⇮2492))⪚(⊺⇮4453≎⪠⊺⇮5156⪶≀⋏(⊺⇮5472≝⊰⇂))⪎↠(⊺⇮3532∋⊺⇮9341+(⊑⊺⇮3937))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":21324,"operation_count":15,"complexity_ratio":1421.6,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1026,"base":10}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1680,"base":10},"right_expr":{"type":"numeric_atoms","value":6089,"base":10}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2859,"base":10},"right_expr":{"type":"numeric_atoms","value":1063,"base":10}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":8716,"base":10},"right_expr":{"type":"numeric_atoms","value":2492,"base":10}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4453,"base":10},"right_expr":{"type":"numeric_atoms","value":5156,"base":10}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":5472,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3532,"base":10},"right_expr":{"type":"numeric_atoms","value":9341,"base":10}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":3937,"base":10}}}}},"used_operators":["HrjLwUk87U","QbnwKVWMIQ","tifHPKVTfV","oPMjh9089D","RqrPlJkxDo","s3Fd5m9Dh2","2DDjHMKMc0","LXhwmt4mBO","3tVxb0NHM4","zR4jO40bMj","aNhz54LH3e","htSmYCowi5","W4YGzv6Whe","ukq6epAj5P","IkUmn0D7oy"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","DlLNRPXxWL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=3842","layer":3},{"info":"number node, value=1680","layer":4},{"info":"number node, value=6089","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=6089, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3842, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2859","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=1063, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2859","layer":3},{"info":"number node, value=8716","layer":4},{"info":"number node, value=2492","layer":4},{"info":"compute binary expreesion, left_input=8716, right_input=2492, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=2859, right_input=-527, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-305","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-305, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":1},{"info":"number node, value=4453","layer":4},{"info":"number node, value=5156","layer":4},{"info":"compute binary expreesion, left_input=4453, right_input=5156, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=5472","layer":4},{"info":"compute unary expreesion, input=5472, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-58906","layer":2},{"info":"number node, value=3532","layer":4},{"info":"number node, value=9341","layer":4},{"info":"compute binary expreesion, left_input=3532, right_input=9341, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=19484544","layer":3},{"info":"number node, value=3937","layer":4},{"info":"compute unary expreesion, input=3937, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=19484544, right_input=192, op_id = W4YGzv6Whe binary_op_definition= 'None', output=19484736","layer":2},{"info":"compute binary expreesion, left_input=-58906, right_input=19484736, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊀⊺⇮1026)⇼⇔∾⊺⇮1680↞⋁⊺⇮6089)⪥((⊺⇮2859⋝⋈⪟⊺⇮1063)⊬⨰(⊺⇮8716⨫⇇↔⊺⇮2492))⪚(⊺⇮4453≎⪠⊺⇮5156⪶≀⋏(⊺⇮5472≝⊰⇂))⪎↠(⊺⇮3532∋⊺⇮9341+(⊑⊺⇮3937))=NaN","reverse_text":"NaN=((⊀⊺⇮1026)⇼⇔∾⊺⇮1680↞⋁⊺⇮6089)⪥((⊺⇮2859⋝⋈⪟⊺⇮1063)⊬⨰(⊺⇮8716⨫⇇↔⊺⇮2492))⪚(⊺⇮4453≎⪠⊺⇮5156⪶≀⋏(⊺⇮5472≝⊰⇂))⪎↠(⊺⇮3532∋⊺⇮9341+(⊑⊺⇮3937))","cot":[{"info":"⊀⊺⇮1026=⊺⇮3842","layer":3},{"info":"⊺⇮1680↞⋁⊺⇮6089=NaN","layer":3},{"info":"⊺⇮3842⇼⇔∾NaN=NaN","layer":2},{"info":"⊺⇮2859⋝⋈⪟⊺⇮1063=⊺⇮2859","layer":3},{"info":"⊺⇮8716⨫⇇↔⊺⇮2492=⊺⇮-527","layer":3},{"info":"⊺⇮2859⊬⨰⊺⇮-527=⊺⇮-305","layer":2},{"info":"NaN⪥⊺⇮-305=NaN","layer":1},{"info":"⊺⇮4453≎⪠⊺⇮5156=⊺⇮19558","layer":3},{"info":"⊺⇮5472≝⊰⇂=⊺⇮0","layer":3},{"info":"⊺⇮19558⪶≀⋏⊺⇮0=⊺⇮-58906","layer":2},{"info":"⊺⇮3532∋⊺⇮9341=⊺⇮19484544","layer":3},{"info":"⊑⊺⇮3937=⊺⇮192","layer":3},{"info":"⊺⇮19484544+⊺⇮192=⊺⇮19484736","layer":2},{"info":"⊺⇮-58906⪎↠⊺⇮19484736=⊺⇮-55","layer":1},{"info":"NaN⪚⊺⇮-55=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"(⇉-⫰($1042$↞⋁$3000$⨭⪣(⋃$3402$)))⪍↜⋙(($2000$⩖⊿$1340$∷$3962$⪇≇⋚$6613$)≓∲($3535$≃$2594$)⪭($4338$⩨$2409$))","expression":"(⇉-⫰(⊺⇮1042↞⋁⊺⇮3000⨭⪣(⋃⊺⇮3402)))⪍↜⋙((⊺⇮2000⩖⊿⊺⇮1340∷⊺⇮3962⪇≇⋚⊺⇮6613)≓∲(⊺⇮3535≃⊺⇮2594)⪭(⊺⇮4338⩨⊺⇮2409))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":494,"operation_count":12,"complexity_ratio":41.166666666666664,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1042,"base":10},"right_expr":{"type":"numeric_atoms","value":3000,"base":10}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3402,"base":10}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2000,"base":10},"right_expr":{"type":"numeric_atoms","value":1340,"base":10}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3962,"base":10},"right_expr":{"type":"numeric_atoms","value":6613,"base":10}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3535,"base":10},"right_expr":{"type":"numeric_atoms","value":2594,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4338,"base":10},"right_expr":{"type":"numeric_atoms","value":2409,"base":10}}}}},"used_operators":["L05ObWFQCd","IGFM8TAlm9","kn8WO9XteQ","RqrPlJkxDo","3mBM5G4a3l","s1XTVnmDOJ","D3AQDKkPcf","RZ5CV9rWsJ","3sJ7IOPOlU","j9kHMeSvPp","YbVcJGFEVW","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eH2TOUuTDT","eewbuw0ToL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","g55IO6H4Gj","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","NTOWxs364D","7j4O788W3g","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=3000, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3402","layer":4},{"info":"compute unary expreesion, input=3402, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=6906","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6906, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":1},{"info":"number node, value=2000","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=1340, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=2638","layer":3},{"info":"number node, value=3962","layer":4},{"info":"number node, value=6613","layer":4},{"info":"compute binary expreesion, left_input=3962, right_input=6613, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2638, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-3432","layer":2},{"info":"number node, value=3535","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=3535, right_input=2594, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-14180","layer":3},{"info":"number node, value=4338","layer":4},{"info":"number node, value=2409","layer":4},{"info":"compute binary expreesion, left_input=4338, right_input=2409, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-14180, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=14006","layer":2},{"info":"compute binary expreesion, left_input=-3432, right_input=14006, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇉-⫰(⊺⇮1042↞⋁⊺⇮3000⨭⪣(⋃⊺⇮3402)))⪍↜⋙((⊺⇮2000⩖⊿⊺⇮1340∷⊺⇮3962⪇≇⋚⊺⇮6613)≓∲(⊺⇮3535≃⊺⇮2594)⪭(⊺⇮4338⩨⊺⇮2409))=NaN","reverse_text":"NaN=(⇉-⫰(⊺⇮1042↞⋁⊺⇮3000⨭⪣(⋃⊺⇮3402)))⪍↜⋙((⊺⇮2000⩖⊿⊺⇮1340∷⊺⇮3962⪇≇⋚⊺⇮6613)≓∲(⊺⇮3535≃⊺⇮2594)⪭(⊺⇮4338⩨⊺⇮2409))","cot":[{"info":"⊺⇮1042↞⋁⊺⇮3000=NaN","layer":3},{"info":"⋃⊺⇮3402=⊺⇮6906","layer":3},{"info":"NaN⨭⪣⊺⇮6906=NaN","layer":2},{"info":"⇉-⫰NaN=NaN","layer":1},{"info":"⊺⇮2000⩖⊿⊺⇮1340=⊺⇮2638","layer":3},{"info":"⊺⇮3962⪇≇⋚⊺⇮6613=⊺⇮0","layer":3},{"info":"⊺⇮2638∷⊺⇮0=⊺⇮-3432","layer":2},{"info":"⊺⇮3535≃⊺⇮2594=⊺⇮-14180","layer":3},{"info":"⊺⇮4338⩨⊺⇮2409=⊺⇮0","layer":3},{"info":"⊺⇮-14180⪭⊺⇮0=⊺⇮14006","layer":2},{"info":"⊺⇮-3432≓∲⊺⇮14006=⊺⇮67","layer":1},{"info":"NaN⪍↜⋙⊺⇮67=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"($1601$∛$1608$⊔$1516$≹⇙⪍$2695$∖($3598$≳⇉$2540$)↢($1817$⊹∫⫚$2368$))↛⩡⫤","expression":"(⊺⇮1601∛⊺⇮1608⊔⊺⇮1516≹⇙⪍⊺⇮2695∖(⊺⇮3598≳⇉⊺⇮2540)↢(⊺⇮1817⊹∫⫚⊺⇮2368))↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":96494502,"operation_count":8,"complexity_ratio":12061812.75,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1601,"base":10},"right_expr":{"type":"numeric_atoms","value":1608,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1516,"base":10},"right_expr":{"type":"numeric_atoms","value":2695,"base":10}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3598,"base":10},"right_expr":{"type":"numeric_atoms","value":2540,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1817,"base":10},"right_expr":{"type":"numeric_atoms","value":2368,"base":10}}}}},"used_operators":["FU0Cs4j7VP","tXD093vOjl","E4l6HwMY31","w2537kitQq","AHs5Up7iyr","WR6HLWljOP","V0kx6qeWkN","uWAJUKEvyW"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","dWAJyo7jo9","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1601","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=1608, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1516","layer":4},{"info":"number node, value=2695","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=2695, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"number node, value=3598","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=3598, right_input=2540, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1817","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=2368, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-32","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-32, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1601∛⊺⇮1608⊔⊺⇮1516≹⇙⪍⊺⇮2695∖(⊺⇮3598≳⇉⊺⇮2540)↢(⊺⇮1817⊹∫⫚⊺⇮2368))↛⩡⫤=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮1601∛⊺⇮1608⊔⊺⇮1516≹⇙⪍⊺⇮2695∖(⊺⇮3598≳⇉⊺⇮2540)↢(⊺⇮1817⊹∫⫚⊺⇮2368))↛⩡⫤","cot":[{"info":"⊺⇮1601∛⊺⇮1608=⊺⇮67","layer":3},{"info":"⊺⇮1516≹⇙⪍⊺⇮2695=NaN","layer":3},{"info":"⊺⇮67⊔NaN=NaN","layer":2},{"info":"⊺⇮3598≳⇉⊺⇮2540=NaN","layer":3},{"info":"⊺⇮1817⊹∫⫚⊺⇮2368=⊺⇮-32","layer":3},{"info":"NaN↢⊺⇮-32=NaN","layer":2},{"info":"NaN∖NaN=⊺⇮0","layer":1},{"info":"⊺⇮0↛⩡⫤=⊺⇮0","layer":0}]}
{"id":114,"expression_no_base_symbol":"($1282$⇮⋭$5303$⇉⇉)⇴∐($1190$+⪬∐$1081$+$3567$⫥∨⫟$1213$)⫡⨏((⋗⩬⋾$4427$⪢$2745$)≣⋋)","expression":"(⊺⇮1282⇮⋭⊺⇮5303⇉⇉)⇴∐(⊺⇮1190+⪬∐⊺⇮1081+⊺⇮3567⫥∨⫟⊺⇮1213)⫡⨏((⋗⩬⋾⊺⇮4427⪢⊺⇮2745)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11901,"operation_count":10,"complexity_ratio":1190.1,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1282,"base":10},"right_expr":{"type":"numeric_atoms","value":5303,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1190,"base":10},"right_expr":{"type":"numeric_atoms","value":1081,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3567,"base":10},"right_expr":{"type":"numeric_atoms","value":1213,"base":10}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4427,"base":10},"right_expr":{"type":"numeric_atoms","value":2745,"base":10}}}}},"used_operators":["QMFrweE19q","HnzytWxmAO","diKm42VcIt","vkpjKywKVM","W4YGzv6Whe","2GS7woTJqF","KYD54nUTWz","Tcnh7f0tEr","DpFCA1CohY","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","g55IO6H4Gj","D4vGDi5EA2","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1282","layer":4},{"info":"number node, value=5303","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=5303, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=11382","layer":2},{"info":"number node, value=1190","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=1081, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3570","layer":3},{"info":"number node, value=3567","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=3567, right_input=1213, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3570, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11382, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=4427","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=4427, right_input=2745, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1282⇮⋭⊺⇮5303⇉⇉)⇴∐(⊺⇮1190+⪬∐⊺⇮1081+⊺⇮3567⫥∨⫟⊺⇮1213)⫡⨏((⋗⩬⋾⊺⇮4427⪢⊺⇮2745)≣⋋)=NaN","reverse_text":"NaN=(⊺⇮1282⇮⋭⊺⇮5303⇉⇉)⇴∐(⊺⇮1190+⪬∐⊺⇮1081+⊺⇮3567⫥∨⫟⊺⇮1213)⫡⨏((⋗⩬⋾⊺⇮4427⪢⊺⇮2745)≣⋋)","cot":[{"info":"⊺⇮1282⇮⋭⊺⇮5303=⊺⇮-473","layer":3},{"info":"⊺⇮-473⇉⇉=⊺⇮11382","layer":2},{"info":"⊺⇮1190+⪬∐⊺⇮1081=⊺⇮-3570","layer":3},{"info":"⊺⇮3567⫥∨⫟⊺⇮1213=NaN","layer":3},{"info":"⊺⇮-3570+NaN=NaN","layer":2},{"info":"⊺⇮11382⇴∐NaN=NaN","layer":1},{"info":"⊺⇮4427⪢⊺⇮2745=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"((⩏⊷≩$1224$⇴$9586$)⫚↹⊑(↑(⪸$4017$)))⊢((($5376$⨫⇇↔$2706$)⪮%⊝$6772$≨$1373$)⊟⇱)","expression":"((⩏⊷≩⊺⇮1224⇴⊺⇮9586)⫚↹⊑(↑(⪸⊺⇮4017)))⊢(((⊺⇮5376⨫⇇↔⊺⇮2706)⪮%⊝⊺⇮6772≨⊺⇮1373)⊟⇱)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":245,"operation_count":10,"complexity_ratio":24.5,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1224,"base":10},"right_expr":{"type":"numeric_atoms","value":9586,"base":10}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":4017,"base":10}}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":5376,"base":10},"right_expr":{"type":"numeric_atoms","value":2706,"base":10}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6772,"base":10},"right_expr":{"type":"numeric_atoms","value":1373,"base":10}}}}},"used_operators":["5twsqlHp2o","dfKe02y8D2","uOZ1tnYMDE","4JB6nKBMSY","tR7O2zTn5j","86A5ENbKR9","03sUfWo75k","IWmyXbctLI","LXhwmt4mBO","0KMCeP1Jsh"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","23Mk6UjR3U","12rbrZMWeM","sdazOOVcIp","NTOWxs364D","COABgblf1C","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","IWmyXbctLI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⊺⇮650","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"number node, value=9586","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=9586, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=26130","layer":3},{"info":"compute unary expreesion, input=26130, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=51959","layer":2},{"info":"number node, value=4017","layer":4},{"info":"compute unary expreesion, input=4017, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-68080","layer":3},{"info":"compute unary expreesion, input=-68080, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=51959, right_input=192, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=5376","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=5376, right_input=2706, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=6772","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=6772, right_input=1373, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-65244","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-65244, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-738","layer":2},{"info":"compute unary expreesion, input=-738, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-1160","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-1160, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=650","layer":0}],"base":10,"result_base":10,"text":"((⩏⊷≩⊺⇮1224⇴⊺⇮9586)⫚↹⊑(↑(⪸⊺⇮4017)))⊢(((⊺⇮5376⨫⇇↔⊺⇮2706)⪮%⊝⊺⇮6772≨⊺⇮1373)⊟⇱)=⊺⇮650","reverse_text":"⊺⇮650=((⩏⊷≩⊺⇮1224⇴⊺⇮9586)⫚↹⊑(↑(⪸⊺⇮4017)))⊢(((⊺⇮5376⨫⇇↔⊺⇮2706)⪮%⊝⊺⇮6772≨⊺⇮1373)⊟⇱)","cot":[{"info":"⊺⇮1224⇴⊺⇮9586=⊺⇮26130","layer":3},{"info":"⩏⊷≩⊺⇮26130=⊺⇮51959","layer":2},{"info":"⪸⊺⇮4017=⊺⇮-68080","layer":3},{"info":"↑⊺⇮-68080=⊺⇮192","layer":2},{"info":"⊺⇮51959⫚↹⊑⊺⇮192=⊺⇮-447","layer":1},{"info":"⊺⇮5376⨫⇇↔⊺⇮2706=⊺⇮-527","layer":3},{"info":"⊺⇮6772≨⊺⇮1373=⊺⇮-65244","layer":3},{"info":"⊺⇮-527⪮%⊝⊺⇮-65244=⊺⇮-738","layer":2},{"info":"⊺⇮-738⊟⇱=⊺⇮-1160","layer":1},{"info":"⊺⇮-447⊢⊺⇮-1160=⊺⇮650","layer":0}]}
{"id":116,"expression_no_base_symbol":"(⫛⫱⨽($1030$⇮⋭$1272$))⨑⩅≇(($1656$⪡$2217$)∓⋝($3040$⫳≱↱$6738$))≦≮≮","expression":"(⫛⫱⨽(⊺⇮1030⇮⋭⊺⇮1272))⨑⩅≇((⊺⇮1656⪡⊺⇮2217)∓⋝(⊺⇮3040⫳≱↱⊺⇮6738))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1861,"operation_count":7,"complexity_ratio":265.85714285714283,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1030,"base":10},"right_expr":{"type":"numeric_atoms","value":1272,"base":10}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1656,"base":10},"right_expr":{"type":"numeric_atoms","value":2217,"base":10}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3040,"base":10},"right_expr":{"type":"numeric_atoms","value":6738,"base":10}}}}},"used_operators":["D4vGDi5EA2","h92wMvzauj","DlLNRPXxWL","vkpjKywKVM","PoHhknlbAi","oraRL2iQuh","ZvLB05nZmT"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rGHVDoGpnC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1272, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1656","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=2217, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3040","layer":4},{"info":"number node, value=6738","layer":4},{"info":"compute binary expreesion, left_input=3040, right_input=6738, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-204, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-37","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-37, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽(⊺⇮1030⇮⋭⊺⇮1272))⨑⩅≇((⊺⇮1656⪡⊺⇮2217)∓⋝(⊺⇮3040⫳≱↱⊺⇮6738))≦≮≮=⊺⇮0","reverse_text":"⊺⇮0=(⫛⫱⨽(⊺⇮1030⇮⋭⊺⇮1272))⨑⩅≇((⊺⇮1656⪡⊺⇮2217)∓⋝(⊺⇮3040⫳≱↱⊺⇮6738))≦≮≮","cot":[{"info":"⊺⇮1030⇮⋭⊺⇮1272=⊺⇮-473","layer":3},{"info":"⫛⫱⨽⊺⇮-473=⊺⇮0","layer":2},{"info":"⊺⇮1656⪡⊺⇮2217=⊺⇮107","layer":3},{"info":"⊺⇮3040⫳≱↱⊺⇮6738=⊺⇮-204","layer":3},{"info":"⊺⇮107∓⋝⊺⇮-204=⊺⇮-37","layer":2},{"info":"⊺⇮0⨑⩅≇⊺⇮-37=⊺⇮0","layer":1},{"info":"⊺⇮0≦≮≮=⊺⇮0","layer":0}]}
{"id":117,"expression_no_base_symbol":"-(($2605$⫥∨⫟$1101$)⩉⊫⨁)⨭⪣(($2406$⩧⪆$1204$)↯⫤)","expression":"-((⊺⇮2605⫥∨⫟⊺⇮1101)⩉⊫⨁)⨭⪣((⊺⇮2406⩧⪆⊺⇮1204)↯⫤)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":209,"operation_count":6,"complexity_ratio":34.833333333333336,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2605,"base":10},"right_expr":{"type":"numeric_atoms","value":1101,"base":10}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2406,"base":10},"right_expr":{"type":"numeric_atoms","value":1204,"base":10}}}}},"used_operators":["t8gj7n24qd","kn8WO9XteQ","7qqUquhhSb","KYD54nUTWz","VwlE7vj6HS","Ikt5ks8PT7"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","7j4O788W3g","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2605","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=1101, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=nan","layer":2},{"info":"number node, value=2406","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=1204, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1204","layer":3},{"info":"compute unary expreesion, input=-1204, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=2408","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2408, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"-((⊺⇮2605⫥∨⫟⊺⇮1101)⩉⊫⨁)⨭⪣((⊺⇮2406⩧⪆⊺⇮1204)↯⫤)=NaN","reverse_text":"NaN=-((⊺⇮2605⫥∨⫟⊺⇮1101)⩉⊫⨁)⨭⪣((⊺⇮2406⩧⪆⊺⇮1204)↯⫤)","cot":[{"info":"⊺⇮2605⫥∨⫟⊺⇮1101=NaN","layer":3},{"info":"NaN⩉⊫⨁=NaN","layer":2},{"info":"⊺⇮2406⩧⪆⊺⇮1204=⊺⇮-1204","layer":3},{"info":"⊺⇮-1204↯⫤=⊺⇮2408","layer":2},{"info":"NaN⨭⪣⊺⇮2408=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":118,"expression_no_base_symbol":"(($1036$⇩)≃(∜⨇$1061$)⫡⨏(⊬↢$2337$)⩍⋽⫝̸$6067$⋕⪉⪜$1043$)≀⫉($2383$∥⊢⊲$1749$∝$1081$⨔⇊$7778$)⪒⊣⊆((⨈⪑$1006$)≹⇙⪍($1142$∼$8346$))","expression":"((⊺⇮1036⇩)≃(∜⨇⊺⇮1061)⫡⨏(⊬↢⊺⇮2337)⩍⋽⫝̸⊺⇮6067⋕⪉⪜⊺⇮1043)≀⫉(⊺⇮2383∥⊢⊲⊺⇮1749∝⊺⇮1081⨔⇊⊺⇮7778)⪒⊣⊆((⨈⪑⊺⇮1006)≹⇙⪍(⊺⇮1142∼⊺⇮8346))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2775,"operation_count":15,"complexity_ratio":185.0,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1036,"base":10}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1061,"base":10}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2337,"base":10}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6067,"base":10},"right_expr":{"type":"numeric_atoms","value":1043,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2383,"base":10},"right_expr":{"type":"numeric_atoms","value":1749,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1081,"base":10},"right_expr":{"type":"numeric_atoms","value":7778,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1006,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1142,"base":10},"right_expr":{"type":"numeric_atoms","value":8346,"base":10}}}}},"used_operators":["oZj3VtZNQx","QMFrweE19q","YbVcJGFEVW","vRio1gEz1j","uFPyJr306J","BiWNJpBvwn","WPoGxAaPR1","z6LnFrNh4i","eRqsBgTDFp","cTDWOvIxvz","v1UQAVDJRr","JclMnS0uGI","AHs5Up7iyr","mp94q5OcYM","DyGG3AbaNP"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Ph9nP6C5qx","xUOZtlo3hN","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","sdazOOVcIp","W4YGzv6Whe","7j4O788W3g","W4YGzv6Whe","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","dWAJyo7jo9","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⊺⇮2822","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1129","layer":3},{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1129, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":2},{"info":"number node, value=2337","layer":4},{"info":"compute unary expreesion, input=2337, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=6067","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=6067, right_input=1043, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=2802, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1856","layer":2},{"info":"compute binary expreesion, left_input=69, right_input=1856, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=4840","layer":1},{"info":"number node, value=2383","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=1749, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=7778","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=7778, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=7778","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7778, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1142","layer":4},{"info":"number node, value=8346","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=8346, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4840, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1036⇩)≃(∜⨇⊺⇮1061)⫡⨏(⊬↢⊺⇮2337)⩍⋽⫝̸⊺⇮6067⋕⪉⪜⊺⇮1043)≀⫉(⊺⇮2383∥⊢⊲⊺⇮1749∝⊺⇮1081⨔⇊⊺⇮7778)⪒⊣⊆((⨈⪑⊺⇮1006)≹⇙⪍(⊺⇮1142∼⊺⇮8346))=⊺⇮2822","reverse_text":"⊺⇮2822=((⊺⇮1036⇩)≃(∜⨇⊺⇮1061)⫡⨏(⊬↢⊺⇮2337)⩍⋽⫝̸⊺⇮6067⋕⪉⪜⊺⇮1043)≀⫉(⊺⇮2383∥⊢⊲⊺⇮1749∝⊺⇮1081⨔⇊⊺⇮7778)⪒⊣⊆((⨈⪑⊺⇮1006)≹⇙⪍(⊺⇮1142∼⊺⇮8346))","cot":[{"info":"⊺⇮1036⇩=⊺⇮1129","layer":3},{"info":"∜⨇⊺⇮1061=NaN","layer":3},{"info":"⊺⇮1129≃NaN=⊺⇮69","layer":2},{"info":"⊬↢⊺⇮2337=⊺⇮218","layer":3},{"info":"⊺⇮6067⋕⪉⪜⊺⇮1043=⊺⇮2802","layer":3},{"info":"⊺⇮218⩍⋽⫝̸⊺⇮2802=⊺⇮1856","layer":2},{"info":"⊺⇮69⫡⨏⊺⇮1856=⊺⇮4840","layer":1},{"info":"⊺⇮2383∥⊢⊲⊺⇮1749=NaN","layer":3},{"info":"⊺⇮1081⨔⇊⊺⇮7778=⊺⇮7778","layer":3},{"info":"NaN∝⊺⇮7778=NaN","layer":2},{"info":"⨈⪑⊺⇮1006=⊺⇮868","layer":3},{"info":"⊺⇮1142∼⊺⇮8346=NaN","layer":3},{"info":"⊺⇮868≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⪒⊣⊆NaN=NaN","layer":1},{"info":"⊺⇮4840≀⫉NaN=⊺⇮2822","layer":0}]}
{"id":119,"expression_no_base_symbol":"(⪭⩑⪱(($4152$⪉⨛$5083$)∩⋅))⨂≜(⨮↦↱($2862$≹⇙⪍$7005$⨽($3402$⊴⇁⪶)))","expression":"(⪭⩑⪱((⊺⇮4152⪉⨛⊺⇮5083)∩⋅))⨂≜(⨮↦↱(⊺⇮2862≹⇙⪍⊺⇮7005⨽(⊺⇮3402⊴⇁⪶)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8351917,"operation_count":8,"complexity_ratio":1043989.625,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4152,"base":10},"right_expr":{"type":"numeric_atoms","value":5083,"base":10}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2862,"base":10},"right_expr":{"type":"numeric_atoms","value":7005,"base":10}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":3402,"base":10}}}}},"used_operators":["k1SHOSEABc","SIgE0bArFf","2MzE1hQ0cz","EWw2JM7wp4","sYcpBQ0cFf","8HhzD0ZcuI","AHs5Up7iyr","oo9mF6JIpo"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","Qy55tPpLXF","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4152","layer":4},{"info":"number node, value=5083","layer":4},{"info":"compute binary expreesion, left_input=4152, right_input=5083, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7588","layer":3},{"info":"compute unary expreesion, input=7588, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-7467","layer":2},{"info":"compute unary expreesion, input=-7467, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=2862","layer":4},{"info":"number node, value=7005","layer":4},{"info":"compute binary expreesion, left_input=2862, right_input=7005, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3402","layer":4},{"info":"compute unary expreesion, input=3402, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=67166","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67166, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪭⩑⪱((⊺⇮4152⪉⨛⊺⇮5083)∩⋅))⨂≜(⨮↦↱(⊺⇮2862≹⇙⪍⊺⇮7005⨽(⊺⇮3402⊴⇁⪶)))=NaN","reverse_text":"NaN=(⪭⩑⪱((⊺⇮4152⪉⨛⊺⇮5083)∩⋅))⨂≜(⨮↦↱(⊺⇮2862≹⇙⪍⊺⇮7005⨽(⊺⇮3402⊴⇁⪶)))","cot":[{"info":"⊺⇮4152⪉⨛⊺⇮5083=⊺⇮7588","layer":3},{"info":"⊺⇮7588∩⋅=⊺⇮-7467","layer":2},{"info":"⪭⩑⪱⊺⇮-7467=⊺⇮8320752","layer":1},{"info":"⊺⇮2862≹⇙⪍⊺⇮7005=NaN","layer":3},{"info":"⊺⇮3402⊴⇁⪶=⊺⇮67166","layer":3},{"info":"NaN⨽⊺⇮67166=NaN","layer":2},{"info":"⨮↦↱NaN=NaN","layer":1},{"info":"⊺⇮8320752⨂≜NaN=NaN","layer":0}]}
{"id":120,"expression_no_base_symbol":"((↘$4470$)∷($1604$⪁$1089$))⪮%⊝(⋣(⋠∜$1257$))⩷∴(↩($1864$≋⫹)⇄($6357$∠⫱$3679$))","expression":"((↘⊺⇮4470)∷(⊺⇮1604⪁⊺⇮1089))⪮%⊝(⋣(⋠∜⊺⇮1257))⩷∴(↩(⊺⇮1864≋⫹)⇄(⊺⇮6357∠⫱⊺⇮3679))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15190651,"operation_count":11,"complexity_ratio":1380968.2727272727,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":4470,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1604,"base":10},"right_expr":{"type":"numeric_atoms","value":1089,"base":10}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1257,"base":10}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1864,"base":10}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6357,"base":10},"right_expr":{"type":"numeric_atoms","value":3679,"base":10}}}}},"used_operators":["9FxExcQeMw","IWmyXbctLI","D3AQDKkPcf","LdNpr8hQHL","I7sXao9hZE","zQWRhDnn8F","ZJpFhNJr3x","jLgFTUHLKL","3EYGwJThht","N41Kp7NANJ","QvoQhV0rrE"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","NTOWxs364D","7j4O788W3g","uFcxV4UQCh","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4470","layer":4},{"info":"compute unary expreesion, input=4470, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=158","layer":3},{"info":"number node, value=1604","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=1089, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=158, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"number node, value=1257","layer":4},{"info":"compute unary expreesion, input=1257, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=7312","layer":3},{"info":"compute unary expreesion, input=7312, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-2149633","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2149633, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1864","layer":4},{"info":"compute unary expreesion, input=1864, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3728","layer":3},{"info":"number node, value=6357","layer":4},{"info":"number node, value=3679","layer":4},{"info":"compute binary expreesion, left_input=6357, right_input=3679, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-3728, right_input=1234, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-750","layer":2},{"info":"compute unary expreesion, input=-750, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5620","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5620, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↘⊺⇮4470)∷(⊺⇮1604⪁⊺⇮1089))⪮%⊝(⋣(⋠∜⊺⇮1257))⩷∴(↩(⊺⇮1864≋⫹)⇄(⊺⇮6357∠⫱⊺⇮3679))=NaN","reverse_text":"NaN=((↘⊺⇮4470)∷(⊺⇮1604⪁⊺⇮1089))⪮%⊝(⋣(⋠∜⊺⇮1257))⩷∴(↩(⊺⇮1864≋⫹)⇄(⊺⇮6357∠⫱⊺⇮3679))","cot":[{"info":"↘⊺⇮4470=⊺⇮158","layer":3},{"info":"⊺⇮1604⪁⊺⇮1089=NaN","layer":3},{"info":"⊺⇮158∷NaN=NaN","layer":2},{"info":"⋠∜⊺⇮1257=⊺⇮7312","layer":3},{"info":"⋣⊺⇮7312=⊺⇮-2149633","layer":2},{"info":"NaN⪮%⊝⊺⇮-2149633=NaN","layer":1},{"info":"⊺⇮1864≋⫹=⊺⇮-3728","layer":3},{"info":"⊺⇮6357∠⫱⊺⇮3679=⊺⇮1234","layer":3},{"info":"⊺⇮-3728⇄⊺⇮1234=⊺⇮-750","layer":2},{"info":"↩⊺⇮-750=⊺⇮5620","layer":1},{"info":"NaN⩷∴⊺⇮5620=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"(⋎⨆(⋂$5401$⇻⋧≁$1066$))⪶≀⋏((↪⫪⫘($4172$⫢⨠$3136$))⫚⫇)","expression":"(⋎⨆(⋂⊺⇮5401⇻⋧≁⊺⇮1066))⪶≀⋏((↪⫪⫘(⊺⇮4172⫢⨠⊺⇮3136))⫚⫇)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5595,"operation_count":7,"complexity_ratio":799.2857142857143,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5401,"base":10},"right_expr":{"type":"numeric_atoms","value":1066,"base":10}}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4172,"base":10},"right_expr":{"type":"numeric_atoms","value":3136,"base":10}}}}},"used_operators":["zR4jO40bMj","E64sFOc4tB","BUOGQAYlQx","jCPkEVoL5K","SdCjLnB6rR","9dWsAM3GFt","xlXykHWxX1"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⊺⇮-11424","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5401","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=5401, right_input=1066, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=6854","layer":2},{"info":"compute unary expreesion, input=6854, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"number node, value=4172","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=4172, right_input=3136, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1428","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1428, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11424","layer":0}],"base":10,"result_base":10,"text":"(⋎⨆(⋂⊺⇮5401⇻⋧≁⊺⇮1066))⪶≀⋏((↪⫪⫘(⊺⇮4172⫢⨠⊺⇮3136))⫚⫇)=⊺⇮-11424","reverse_text":"⊺⇮-11424=(⋎⨆(⋂⊺⇮5401⇻⋧≁⊺⇮1066))⪶≀⋏((↪⫪⫘(⊺⇮4172⫢⨠⊺⇮3136))⫚⫇)","cot":[{"info":"⊺⇮5401⇻⋧≁⊺⇮1066=⊺⇮-447","layer":3},{"info":"⋂⊺⇮-447=⊺⇮6854","layer":2},{"info":"⋎⨆⊺⇮6854=⊺⇮0","layer":1},{"info":"⊺⇮4172⫢⨠⊺⇮3136=⊺⇮160","layer":3},{"info":"↪⫪⫘⊺⇮160=⊺⇮20","layer":2},{"info":"⊺⇮20⫚⫇=⊺⇮-1428","layer":1},{"info":"⊺⇮0⪶≀⋏⊺⇮-1428=⊺⇮-11424","layer":0}]}
{"id":122,"expression_no_base_symbol":"∓(($3875$∥⊢⊲$3602$⫸⊐(∂⩏⊆$4246$))⫸⊐(↩($6119$⊪)))","expression":"∓((⊺⇮3875∥⊢⊲⊺⇮3602⫸⊐(∂⩏⊆⊺⇮4246))⫸⊐(↩(⊺⇮6119⊪)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":94,"operation_count":7,"complexity_ratio":13.428571428571429,"tree":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3875,"base":10},"right_expr":{"type":"numeric_atoms","value":3602,"base":10}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":4246,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6119,"base":10}}}}},"used_operators":["OwUj7dcsQK","mqXw5SEYmG","v1UQAVDJRr","8WDwsbhb0R","jLgFTUHLKL","zVYPLywUTj"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","14qkJME0vr","eLAdDNolq6","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3875","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=3875, right_input=3602, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4246","layer":4},{"info":"compute unary expreesion, input=4246, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-12817","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12817, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=6119","layer":4},{"info":"compute unary expreesion, input=6119, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4844, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∓((⊺⇮3875∥⊢⊲⊺⇮3602⫸⊐(∂⩏⊆⊺⇮4246))⫸⊐(↩(⊺⇮6119⊪)))=NaN","reverse_text":"NaN=∓((⊺⇮3875∥⊢⊲⊺⇮3602⫸⊐(∂⩏⊆⊺⇮4246))⫸⊐(↩(⊺⇮6119⊪)))","cot":[{"info":"⊺⇮3875∥⊢⊲⊺⇮3602=NaN","layer":3},{"info":"∂⩏⊆⊺⇮4246=⊺⇮-12817","layer":3},{"info":"NaN⫸⊐⊺⇮-12817=NaN","layer":2},{"info":"⊺⇮6119⊪=⊺⇮0","layer":3},{"info":"↩⊺⇮0=⊺⇮4844","layer":2},{"info":"NaN⫸⊐⊺⇮4844=NaN","layer":1},{"info":"∓NaN=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"(↴⪽⋼(⊆⋠$7074$)⪘⫢$5091$⨑⩅≇$2308$)≎⪠(($2148$⊉↱≁$2100$)⨽∌($3886$⋝⋈⪟$2433$)⊦⊿)","expression":"(↴⪽⋼(⊆⋠⊺⇮7074)⪘⫢⊺⇮5091⨑⩅≇⊺⇮2308)≎⪠((⊺⇮2148⊉↱≁⊺⇮2100)⨽∌(⊺⇮3886⋝⋈⪟⊺⇮2433)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21595,"operation_count":9,"complexity_ratio":2399.4444444444443,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":7074,"base":10}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5091,"base":10},"right_expr":{"type":"numeric_atoms","value":2308,"base":10}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2148,"base":10},"right_expr":{"type":"numeric_atoms","value":2100,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3886,"base":10},"right_expr":{"type":"numeric_atoms","value":2433,"base":10}}}}},"used_operators":["aNhz54LH3e","5TUYCnJO6w","oacrs7FA3X","EBhcHTkKd8","h92wMvzauj","14qkJME0vr","9samAPKr6k","w2P8NbNXyL","2DDjHMKMc0"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮19558","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7074","layer":4},{"info":"compute unary expreesion, input=7074, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=5091","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=5091, right_input=2308, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-15273","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-15273, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=-1","layer":1},{"info":"number node, value=2148","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=2100, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=8828","layer":3},{"info":"number node, value=3886","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=2433, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3886","layer":3},{"info":"compute binary expreesion, left_input=8828, right_input=3886, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-79, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":10,"result_base":10,"text":"(↴⪽⋼(⊆⋠⊺⇮7074)⪘⫢⊺⇮5091⨑⩅≇⊺⇮2308)≎⪠((⊺⇮2148⊉↱≁⊺⇮2100)⨽∌(⊺⇮3886⋝⋈⪟⊺⇮2433)⊦⊿)=⊺⇮19558","reverse_text":"⊺⇮19558=(↴⪽⋼(⊆⋠⊺⇮7074)⪘⫢⊺⇮5091⨑⩅≇⊺⇮2308)≎⪠((⊺⇮2148⊉↱≁⊺⇮2100)⨽∌(⊺⇮3886⋝⋈⪟⊺⇮2433)⊦⊿)","cot":[{"info":"⊆⋠⊺⇮7074=⊺⇮0","layer":3},{"info":"⊺⇮5091⨑⩅≇⊺⇮2308=⊺⇮-15273","layer":3},{"info":"⊺⇮0⪘⫢⊺⇮-15273=⊺⇮-1","layer":2},{"info":"↴⪽⋼⊺⇮-1=⊺⇮-1","layer":1},{"info":"⊺⇮2148⊉↱≁⊺⇮2100=⊺⇮8828","layer":3},{"info":"⊺⇮3886⋝⋈⪟⊺⇮2433=⊺⇮3886","layer":3},{"info":"⊺⇮8828⨽∌⊺⇮3886=⊺⇮0","layer":2},{"info":"⊺⇮0⊦⊿=⊺⇮-79","layer":1},{"info":"⊺⇮-1≎⪠⊺⇮-79=⊺⇮19558","layer":0}]}
{"id":124,"expression_no_base_symbol":"($1972$≨$2979$⊭↱(≱⇩⩕$5394$)⫌⩉⩟($7101$-$8313$)⩺⪪(∓⪦$1074$))⋭≵(($2753$⨿$1041$)⋩≍≻)⫯⪬∳(⪡⇡≛$1674$)⨔⇊($1082$≓∲$4251$)","expression":"(⊺⇮1972≨⊺⇮2979⊭↱(≱⇩⩕⊺⇮5394)⫌⩉⩟(⊺⇮7101-⊺⇮8313)⩺⪪(∓⪦⊺⇮1074))⋭≵((⊺⇮2753⨿⊺⇮1041)⋩≍≻)⫯⪬∳(⪡⇡≛⊺⇮1674)⨔⇊(⊺⇮1082≓∲⊺⇮4251)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15225,"operation_count":14,"complexity_ratio":1087.5,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1972,"base":10},"right_expr":{"type":"numeric_atoms","value":2979,"base":10}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":5394,"base":10}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7101,"base":10},"right_expr":{"type":"numeric_atoms","value":8313,"base":10}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1074,"base":10}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2753,"base":10},"right_expr":{"type":"numeric_atoms","value":1041,"base":10}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1674,"base":10}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1082,"base":10},"right_expr":{"type":"numeric_atoms","value":4251,"base":10}}}}},"used_operators":["jBncVCNhdl","XIIwhv8d0m","COABgblf1C","0KMCeP1Jsh","3DZMoQKiUl","uvdQJvN4PV","rysDP5nf3Z","D309nIvmXG","d7ASUq0ydm","WYd1w68Nbz","abYXlopdE0","JclMnS0uGI","qL4PrbW1Dq","s1XTVnmDOJ"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⊺⇮134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1972","layer":4},{"info":"number node, value=2979","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=2979, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-17244","layer":3},{"info":"number node, value=5394","layer":4},{"info":"compute unary expreesion, input=5394, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-17244, right_input=113, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=34719","layer":2},{"info":"number node, value=7101","layer":4},{"info":"number node, value=8313","layer":4},{"info":"compute binary expreesion, left_input=7101, right_input=8313, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1212","layer":3},{"info":"number node, value=1074","layer":4},{"info":"compute unary expreesion, input=1074, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=666","layer":3},{"info":"compute binary expreesion, left_input=-1212, right_input=666, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"compute binary expreesion, left_input=34719, right_input=-1818, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=2753","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=1041, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-1413","layer":2},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1674","layer":3},{"info":"number node, value=1082","layer":4},{"info":"number node, value=4251","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=4251, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=11603","layer":3},{"info":"compute binary expreesion, left_input=-1674, right_input=11603, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=11603","layer":2},{"info":"compute binary expreesion, left_input=-1413, right_input=11603, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3766","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=3766, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=134","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1972≨⊺⇮2979⊭↱(≱⇩⩕⊺⇮5394)⫌⩉⩟(⊺⇮7101-⊺⇮8313)⩺⪪(∓⪦⊺⇮1074))⋭≵((⊺⇮2753⨿⊺⇮1041)⋩≍≻)⫯⪬∳(⪡⇡≛⊺⇮1674)⨔⇊(⊺⇮1082≓∲⊺⇮4251)=⊺⇮134","reverse_text":"⊺⇮134=(⊺⇮1972≨⊺⇮2979⊭↱(≱⇩⩕⊺⇮5394)⫌⩉⩟(⊺⇮7101-⊺⇮8313)⩺⪪(∓⪦⊺⇮1074))⋭≵((⊺⇮2753⨿⊺⇮1041)⋩≍≻)⫯⪬∳(⪡⇡≛⊺⇮1674)⨔⇊(⊺⇮1082≓∲⊺⇮4251)","cot":[{"info":"⊺⇮1972≨⊺⇮2979=⊺⇮-17244","layer":3},{"info":"≱⇩⩕⊺⇮5394=⊺⇮113","layer":3},{"info":"⊺⇮-17244⊭↱⊺⇮113=⊺⇮34719","layer":2},{"info":"⊺⇮7101-⊺⇮8313=⊺⇮-1212","layer":3},{"info":"∓⪦⊺⇮1074=⊺⇮666","layer":3},{"info":"⊺⇮-1212⩺⪪⊺⇮666=⊺⇮-1818","layer":2},{"info":"⊺⇮34719⫌⩉⩟⊺⇮-1818=⊺⇮-50","layer":1},{"info":"⊺⇮2753⨿⊺⇮1041=⊺⇮-319","layer":3},{"info":"⊺⇮-319⋩≍≻=⊺⇮-1413","layer":2},{"info":"⪡⇡≛⊺⇮1674=⊺⇮-1674","layer":3},{"info":"⊺⇮1082≓∲⊺⇮4251=⊺⇮11603","layer":3},{"info":"⊺⇮-1674⨔⇊⊺⇮11603=⊺⇮11603","layer":2},{"info":"⊺⇮-1413⫯⪬∳⊺⇮11603=⊺⇮3766","layer":1},{"info":"⊺⇮-50⋭≵⊺⇮3766=⊺⇮134","layer":0}]}
{"id":125,"expression_no_base_symbol":"($2675$≴⪞⇿$1901$∙⊟(↡$1055$))⩍⋽⫝̸($3490$⇡⇂$3576$⨎($1712$∙⊟$2556$))↼⊘⨖(($2086$∠⫱$4812$)⇌⫙⪟(⪝⪂⫅$5994$)⊾⪯⋞(⊖$2879$)⨿(∜⨇$1005$))","expression":"(⊺⇮2675≴⪞⇿⊺⇮1901∙⊟(↡⊺⇮1055))⩍⋽⫝̸(⊺⇮3490⇡⇂⊺⇮3576⨎(⊺⇮1712∙⊟⊺⇮2556))↼⊘⨖((⊺⇮2086∠⫱⊺⇮4812)⇌⫙⪟(⪝⪂⫅⊺⇮5994)⊾⪯⋞(⊖⊺⇮2879)⨿(∜⨇⊺⇮1005))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":28145,"operation_count":15,"complexity_ratio":1876.3333333333333,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2675,"base":10},"right_expr":{"type":"numeric_atoms","value":1901,"base":10}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1055,"base":10}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3490,"base":10},"right_expr":{"type":"numeric_atoms","value":3576,"base":10}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1712,"base":10},"right_expr":{"type":"numeric_atoms","value":2556,"base":10}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2086,"base":10},"right_expr":{"type":"numeric_atoms","value":4812,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5994,"base":10}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2879,"base":10}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1005,"base":10}}}}},"used_operators":["bPywburJMS","BiWNJpBvwn","SxTAKzQCrw","lvlrscuwVU","MXaNJeIAZ3","rJVOvQCfKK","UMwdvZNt44","HK0tfVPux8","AFVx7xoS7T","QvoQhV0rrE","XTarYq4gQB","abYXlopdE0","U6pG0PXrV3","uFPyJr306J"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"⊺⇮-1858","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2675","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=1901, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=11539442","layer":3},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=9495","layer":3},{"info":"compute binary expreesion, left_input=11539442, right_input=9495, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=150022592","layer":2},{"info":"number node, value=3490","layer":4},{"info":"number node, value=3576","layer":4},{"info":"compute binary expreesion, left_input=3490, right_input=3576, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1712","layer":4},{"info":"number node, value=2556","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=2556, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=32102","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=32102, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=32102","layer":2},{"info":"compute binary expreesion, left_input=150022592, right_input=32102, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=31156","layer":1},{"info":"number node, value=2086","layer":4},{"info":"number node, value=4812","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=4812, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=5994","layer":4},{"info":"compute unary expreesion, input=5994, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-881118","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-881118, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=4403158","layer":2},{"info":"number node, value=2879","layer":4},{"info":"compute unary expreesion, input=2879, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=4403158, right_input=121, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":1},{"info":"compute binary expreesion, left_input=31156, right_input=-818, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-1858","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2675≴⪞⇿⊺⇮1901∙⊟(↡⊺⇮1055))⩍⋽⫝̸(⊺⇮3490⇡⇂⊺⇮3576⨎(⊺⇮1712∙⊟⊺⇮2556))↼⊘⨖((⊺⇮2086∠⫱⊺⇮4812)⇌⫙⪟(⪝⪂⫅⊺⇮5994)⊾⪯⋞(⊖⊺⇮2879)⨿(∜⨇⊺⇮1005))=⊺⇮-1858","reverse_text":"⊺⇮-1858=(⊺⇮2675≴⪞⇿⊺⇮1901∙⊟(↡⊺⇮1055))⩍⋽⫝̸(⊺⇮3490⇡⇂⊺⇮3576⨎(⊺⇮1712∙⊟⊺⇮2556))↼⊘⨖((⊺⇮2086∠⫱⊺⇮4812)⇌⫙⪟(⪝⪂⫅⊺⇮5994)⊾⪯⋞(⊖⊺⇮2879)⨿(∜⨇⊺⇮1005))","cot":[{"info":"⊺⇮2675≴⪞⇿⊺⇮1901=⊺⇮11539442","layer":3},{"info":"↡⊺⇮1055=⊺⇮9495","layer":3},{"info":"⊺⇮11539442∙⊟⊺⇮9495=⊺⇮150022592","layer":2},{"info":"⊺⇮3490⇡⇂⊺⇮3576=NaN","layer":3},{"info":"⊺⇮1712∙⊟⊺⇮2556=⊺⇮32102","layer":3},{"info":"NaN⨎⊺⇮32102=⊺⇮32102","layer":2},{"info":"⊺⇮150022592⩍⋽⫝̸⊺⇮32102=⊺⇮31156","layer":1},{"info":"⊺⇮2086∠⫱⊺⇮4812=⊺⇮1234","layer":3},{"info":"⪝⪂⫅⊺⇮5994=⊺⇮-881118","layer":3},{"info":"⊺⇮1234⇌⫙⪟⊺⇮-881118=⊺⇮4403158","layer":2},{"info":"⊖⊺⇮2879=⊺⇮0","layer":3},{"info":"∜⨇⊺⇮1005=NaN","layer":3},{"info":"⊺⇮0⨿NaN=⊺⇮121","layer":2},{"info":"⊺⇮4403158⊾⪯⋞⊺⇮121=⊺⇮-818","layer":1},{"info":"⊺⇮31156↼⊘⨖⊺⇮-818=⊺⇮-1858","layer":0}]}
{"id":126,"expression_no_base_symbol":"($2142$⋾⨃∁$2388$⫢⨠$2180$≁↽≥$2024$)⋾⨃∁($5463$⫢⨠$6272$)⇷$1315$⫗⊷⫓$5407$∟","expression":"(⊺⇮2142⋾⨃∁⊺⇮2388⫢⨠⊺⇮2180≁↽≥⊺⇮2024)⋾⨃∁(⊺⇮5463⫢⨠⊺⇮6272)⇷⊺⇮1315⫗⊷⫓⊺⇮5407∟","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7197,"operation_count":8,"complexity_ratio":899.625,"tree":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2142,"base":10},"right_expr":{"type":"numeric_atoms","value":2388,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2180,"base":10},"right_expr":{"type":"numeric_atoms","value":2024,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5463,"base":10},"right_expr":{"type":"numeric_atoms","value":6272,"base":10}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1315,"base":10},"right_expr":{"type":"numeric_atoms","value":5407,"base":10}}}}},"used_operators":["hTbEZDJLEm","212REbPD9h","xlXykHWxX1","ncHt1X6cMc","mp7IySMOzn","zashukvMKz"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","oWn0xqSxBt","3Oe9XWJUTD","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2142","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=2142, right_input=2388, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=56996690","layer":3},{"info":"number node, value=2180","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=2024, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=34136","layer":3},{"info":"compute binary expreesion, left_input=56996690, right_input=34136, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=5463","layer":4},{"info":"number node, value=6272","layer":4},{"info":"compute binary expreesion, left_input=5463, right_input=6272, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=5407","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=5407, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-134, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2142⋾⨃∁⊺⇮2388⫢⨠⊺⇮2180≁↽≥⊺⇮2024)⋾⨃∁(⊺⇮5463⫢⨠⊺⇮6272)⇷⊺⇮1315⫗⊷⫓⊺⇮5407∟=NaN","reverse_text":"NaN=(⊺⇮2142⋾⨃∁⊺⇮2388⫢⨠⊺⇮2180≁↽≥⊺⇮2024)⋾⨃∁(⊺⇮5463⫢⨠⊺⇮6272)⇷⊺⇮1315⫗⊷⫓⊺⇮5407∟","cot":[{"info":"⊺⇮2142⋾⨃∁⊺⇮2388=⊺⇮56996690","layer":3},{"info":"⊺⇮2180≁↽≥⊺⇮2024=⊺⇮34136","layer":3},{"info":"⊺⇮56996690⫢⨠⊺⇮34136=⊺⇮160","layer":2},{"info":"⊺⇮5463⫢⨠⊺⇮6272=⊺⇮160","layer":3},{"info":"⊺⇮1315⫗⊷⫓⊺⇮5407=⊺⇮-134","layer":3},{"info":"⊺⇮160⇷⊺⇮-134=NaN","layer":2},{"info":"⊺⇮160⋾⨃∁NaN=NaN","layer":1},{"info":"NaN∟=NaN","layer":0}]}
{"id":127,"expression_no_base_symbol":"(⪡⇡≛(↩⪖($1593$⪢$2082$)))⨰(($1029$⨽∌$1084$)↤⩊(⪝⪂⫅$3070$)∷($4246$↱$2395$∲⫓$1250$⫳≱↱$1621$))","expression":"(⪡⇡≛(↩⪖(⊺⇮1593⪢⊺⇮2082)))⨰((⊺⇮1029⨽∌⊺⇮1084)↤⩊(⪝⪂⫅⊺⇮3070)∷(⊺⇮4246↱⊺⇮2395∲⫓⊺⇮1250⫳≱↱⊺⇮1621))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2882,"operation_count":11,"complexity_ratio":262.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1593,"base":10},"right_expr":{"type":"numeric_atoms","value":2082,"base":10}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1029,"base":10},"right_expr":{"type":"numeric_atoms","value":1084,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3070,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4246,"base":10},"right_expr":{"type":"numeric_atoms","value":2395,"base":10}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1250,"base":10},"right_expr":{"type":"numeric_atoms","value":1621,"base":10}}}}},"used_operators":["eewbuw0ToL","qL4PrbW1Dq","fG6uBQFnGz","dWAJyo7jo9","D3AQDKkPcf","13rbtpv6ld","9samAPKr6k","XTarYq4gQB","i8ToyICDmI","SR5kFfdi6N","ZvLB05nZmT"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","k8jYdgA6NY","9FxExcQeMw","NTOWxs364D","7j4O788W3g","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=2082, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":1},{"info":"number node, value=1029","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1084, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3070","layer":4},{"info":"compute unary expreesion, input=3070, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-451290","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-451290, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=4246","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=4246, right_input=2395, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-6663","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=1621, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-6663, right_input=-204, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-6663","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6663, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪡⇡≛(↩⪖(⊺⇮1593⪢⊺⇮2082)))⨰((⊺⇮1029⨽∌⊺⇮1084)↤⩊(⪝⪂⫅⊺⇮3070)∷(⊺⇮4246↱⊺⇮2395∲⫓⊺⇮1250⫳≱↱⊺⇮1621))=NaN","reverse_text":"NaN=(⪡⇡≛(↩⪖(⊺⇮1593⪢⊺⇮2082)))⨰((⊺⇮1029⨽∌⊺⇮1084)↤⩊(⪝⪂⫅⊺⇮3070)∷(⊺⇮4246↱⊺⇮2395∲⫓⊺⇮1250⫳≱↱⊺⇮1621))","cot":[{"info":"⊺⇮1593⪢⊺⇮2082=NaN","layer":3},{"info":"↩⪖NaN=NaN","layer":2},{"info":"⪡⇡≛NaN=NaN","layer":1},{"info":"⊺⇮1029⨽∌⊺⇮1084=⊺⇮0","layer":3},{"info":"⪝⪂⫅⊺⇮3070=⊺⇮-451290","layer":3},{"info":"⊺⇮0↤⩊⊺⇮-451290=NaN","layer":2},{"info":"⊺⇮4246↱⊺⇮2395=⊺⇮-6663","layer":3},{"info":"⊺⇮1250⫳≱↱⊺⇮1621=⊺⇮-204","layer":3},{"info":"⊺⇮-6663∲⫓⊺⇮-204=⊺⇮-6663","layer":2},{"info":"NaN∷⊺⇮-6663=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"(($1420$⋅⇍$2634$∕⩚(⇠$1027$))⊦⊿)≚⊃≕(($5370$⨭⪣$5555$)≝⊿(∓⪦$1051$)⨶)","expression":"((⊺⇮1420⋅⇍⊺⇮2634∕⩚(⇠⊺⇮1027))⊦⊿)≚⊃≕((⊺⇮5370⨭⪣⊺⇮5555)≝⊿(∓⪦⊺⇮1051)⨶)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":136,"operation_count":9,"complexity_ratio":15.11111111111111,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1420,"base":10},"right_expr":{"type":"numeric_atoms","value":2634,"base":10}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1027,"base":10}}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5370,"base":10},"right_expr":{"type":"numeric_atoms","value":5555,"base":10}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1051,"base":10}}}}},"used_operators":["Bmrmz2XGnR","14qkJME0vr","z9ffQ9n5Zr","AdZkA7nFnk","18saOjeKKm","rFxw8gIMmB","OKKcZfAt5B","kn8WO9XteQ","D309nIvmXG"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","f6k1SAg4EE","Qy55tPpLXF","12rbrZMWeM","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1420","layer":4},{"info":"number node, value=2634","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=2634, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-785","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-785, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=1382","layer":1},{"info":"number node, value=5370","layer":4},{"info":"number node, value=5555","layer":4},{"info":"compute binary expreesion, left_input=5370, right_input=5555, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4091","layer":3},{"info":"number node, value=1051","layer":4},{"info":"compute unary expreesion, input=1051, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=643","layer":3},{"info":"compute binary expreesion, left_input=4091, right_input=643, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5910","layer":2},{"info":"compute unary expreesion, input=-5910, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=1382, right_input=-134, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1420⋅⇍⊺⇮2634∕⩚(⇠⊺⇮1027))⊦⊿)≚⊃≕((⊺⇮5370⨭⪣⊺⇮5555)≝⊿(∓⪦⊺⇮1051)⨶)=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮1420⋅⇍⊺⇮2634∕⩚(⇠⊺⇮1027))⊦⊿)≚⊃≕((⊺⇮5370⨭⪣⊺⇮5555)≝⊿(∓⪦⊺⇮1051)⨶)","cot":[{"info":"⊺⇮1420⋅⇍⊺⇮2634=⊺⇮-22","layer":3},{"info":"⇠⊺⇮1027=⊺⇮-785","layer":3},{"info":"⊺⇮-22∕⩚⊺⇮-785=⊺⇮-487","layer":2},{"info":"⊺⇮-487⊦⊿=⊺⇮1382","layer":1},{"info":"⊺⇮5370⨭⪣⊺⇮5555=⊺⇮4091","layer":3},{"info":"∓⪦⊺⇮1051=⊺⇮643","layer":3},{"info":"⊺⇮4091≝⊿⊺⇮643=⊺⇮-5910","layer":2},{"info":"⊺⇮-5910⨶=⊺⇮-134","layer":1},{"info":"⊺⇮1382≚⊃≕⊺⇮-134=⊺⇮67","layer":0}]}
{"id":129,"expression_no_base_symbol":"(≑⋹((⨵≀≌$4467$)⪨⊡$6395$⇤$1305$))↱(($6591$⪭≯$2788$)⊴$1150$≁↽≥$5865$)⩌⋺(($3388$⊴⇁⪶)≃($1241$∠⫱$1063$))","expression":"(≑⋹((⨵≀≌⊺⇮4467)⪨⊡⊺⇮6395⇤⊺⇮1305))↱((⊺⇮6591⪭≯⊺⇮2788)⊴⊺⇮1150≁↽≥⊺⇮5865)⩌⋺((⊺⇮3388⊴⇁⪶)≃(⊺⇮1241∠⫱⊺⇮1063))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31163,"operation_count":12,"complexity_ratio":2596.9166666666665,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4467,"base":10}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6395,"base":10},"right_expr":{"type":"numeric_atoms","value":1305,"base":10}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":6591,"base":10},"right_expr":{"type":"numeric_atoms","value":2788,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1150,"base":10},"right_expr":{"type":"numeric_atoms","value":5865,"base":10}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":3388,"base":10}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1241,"base":10},"right_expr":{"type":"numeric_atoms","value":1063,"base":10}}}}},"used_operators":["SR5kFfdi6N","6B9nyZLogK","kuIXHzHcAH","srAu1WTS94","YSKBFp38Pu","g7Hmc5v1ko","Nsiff2A1zJ","XAx5wpdLa6","ncHt1X6cMc","YbVcJGFEVW","oo9mF6JIpo","QvoQhV0rrE"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4467","layer":4},{"info":"compute unary expreesion, input=4467, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13401","layer":3},{"info":"number node, value=6395","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=6395, right_input=1305, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-35652","layer":3},{"info":"compute binary expreesion, left_input=-13401, right_input=-35652, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=143397","layer":2},{"info":"compute unary expreesion, input=143397, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"number node, value=6591","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=6591, right_input=2788, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=5865","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=5865, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=27182","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27182, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3388","layer":4},{"info":"compute unary expreesion, input=3388, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=66858","layer":3},{"info":"number node, value=1241","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=1063, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=66858, right_input=1234, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-267472","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-267472, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≑⋹((⨵≀≌⊺⇮4467)⪨⊡⊺⇮6395⇤⊺⇮1305))↱((⊺⇮6591⪭≯⊺⇮2788)⊴⊺⇮1150≁↽≥⊺⇮5865)⩌⋺((⊺⇮3388⊴⇁⪶)≃(⊺⇮1241∠⫱⊺⇮1063))=NaN","reverse_text":"NaN=(≑⋹((⨵≀≌⊺⇮4467)⪨⊡⊺⇮6395⇤⊺⇮1305))↱((⊺⇮6591⪭≯⊺⇮2788)⊴⊺⇮1150≁↽≥⊺⇮5865)⩌⋺((⊺⇮3388⊴⇁⪶)≃(⊺⇮1241∠⫱⊺⇮1063))","cot":[{"info":"⨵≀≌⊺⇮4467=⊺⇮-13401","layer":3},{"info":"⊺⇮6395⇤⊺⇮1305=⊺⇮-35652","layer":3},{"info":"⊺⇮-13401⪨⊡⊺⇮-35652=⊺⇮143397","layer":2},{"info":"≑⋹⊺⇮143397=⊺⇮1650","layer":1},{"info":"⊺⇮6591⪭≯⊺⇮2788=NaN","layer":3},{"info":"⊺⇮1150≁↽≥⊺⇮5865=⊺⇮27182","layer":3},{"info":"NaN⊴⊺⇮27182=NaN","layer":2},{"info":"⊺⇮3388⊴⇁⪶=⊺⇮66858","layer":3},{"info":"⊺⇮1241∠⫱⊺⇮1063=⊺⇮1234","layer":3},{"info":"⊺⇮66858≃⊺⇮1234=⊺⇮-267472","layer":2},{"info":"NaN⩌⋺⊺⇮-267472=NaN","layer":1},{"info":"⊺⇮1650↱NaN=NaN","layer":0}]}
{"id":130,"expression_no_base_symbol":"(($1255$⋝⋈⪟$1177$⊘)∵≐)⇆⨓≜","expression":"((⊺⇮1255⋝⋈⪟⊺⇮1177⊘)∵≐)⇆⨓≜","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":187,"operation_count":4,"complexity_ratio":46.75,"tree":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1255,"base":10},"right_expr":{"type":"numeric_atoms","value":1177,"base":10}}}}},"used_operators":["KvvgdUaMHJ","59igzFyhWz","gu96TGCTMs","2DDjHMKMc0"],"dependent_operators":["Uaa54Peajs","KYD54nUTWz","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1177, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1255","layer":3},{"info":"compute unary expreesion, input=1255, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=-388","layer":1},{"info":"compute unary expreesion, input=-388, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1255⋝⋈⪟⊺⇮1177⊘)∵≐)⇆⨓≜=NaN","reverse_text":"NaN=((⊺⇮1255⋝⋈⪟⊺⇮1177⊘)∵≐)⇆⨓≜","cot":[{"info":"⊺⇮1255⋝⋈⪟⊺⇮1177=⊺⇮1255","layer":3},{"info":"⊺⇮1255⊘=⊺⇮0","layer":2},{"info":"⊺⇮0∵≐=⊺⇮-388","layer":1},{"info":"⊺⇮-388⇆⨓≜=NaN","layer":0}]}
{"id":131,"expression_no_base_symbol":"(⫛⫱⨽(⩏⊷≩$1308$))⩼⇪↪($1266$↞⋁$4105$∌↝(∐⩳⋚$3826$))⨔≚≋(($2897$⫽⇹≛)+⇶⊼($2206$⋻⩜⩜$1302$)/($1645$⋅⇍$1125$)⊋$2573$⩖⊿$2745$)","expression":"(⫛⫱⨽(⩏⊷≩⊺⇮1308))⩼⇪↪(⊺⇮1266↞⋁⊺⇮4105∌↝(∐⩳⋚⊺⇮3826))⨔≚≋((⊺⇮2897⫽⇹≛)+⇶⊼(⊺⇮2206⋻⩜⩜⊺⇮1302)/(⊺⇮1645⋅⇍⊺⇮1125)⊋⊺⇮2573⩖⊿⊺⇮2745)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":20219,"operation_count":14,"complexity_ratio":1444.2142857142858,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1308,"base":10}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1266,"base":10},"right_expr":{"type":"numeric_atoms","value":4105,"base":10}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":3826,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":2897,"base":10}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2206,"base":10},"right_expr":{"type":"numeric_atoms","value":1302,"base":10}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1645,"base":10},"right_expr":{"type":"numeric_atoms","value":1125,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2573,"base":10},"right_expr":{"type":"numeric_atoms","value":2745,"base":10}}}}},"used_operators":["Z57zeUYC9z","ocnLzx9CaJ","DlLNRPXxWL","uOZ1tnYMDE","9Isq31Ruls","RqrPlJkxDo","SL6IHkK8vl","XhwjNDsVaA","TpPTUOHfaN","NNaDxxp6OQ","oDCm7WA9JY","W4tP9CfskL","AdZkA7nFnk","RZ5CV9rWsJ"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rGHVDoGpnC","23Mk6UjR3U","12rbrZMWeM","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","rysDP5nf3Z","AHs5Up7iyr","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1308","layer":4},{"info":"compute unary expreesion, input=1308, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2315","layer":3},{"info":"compute unary expreesion, input=2315, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1266","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=4105, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3826","layer":4},{"info":"compute unary expreesion, input=3826, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=559343","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=559343, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=2897","layer":4},{"info":"compute unary expreesion, input=2897, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"number node, value=2206","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=2206, right_input=1302, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4412","layer":3},{"info":"compute binary expreesion, left_input=272, right_input=4412, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1645","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=1125, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2573","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=2573, right_input=2745, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=11586","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=11586, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽(⩏⊷≩⊺⇮1308))⩼⇪↪(⊺⇮1266↞⋁⊺⇮4105∌↝(∐⩳⋚⊺⇮3826))⨔≚≋((⊺⇮2897⫽⇹≛)+⇶⊼(⊺⇮2206⋻⩜⩜⊺⇮1302)/(⊺⇮1645⋅⇍⊺⇮1125)⊋⊺⇮2573⩖⊿⊺⇮2745)=NaN","reverse_text":"NaN=(⫛⫱⨽(⩏⊷≩⊺⇮1308))⩼⇪↪(⊺⇮1266↞⋁⊺⇮4105∌↝(∐⩳⋚⊺⇮3826))⨔≚≋((⊺⇮2897⫽⇹≛)+⇶⊼(⊺⇮2206⋻⩜⩜⊺⇮1302)/(⊺⇮1645⋅⇍⊺⇮1125)⊋⊺⇮2573⩖⊿⊺⇮2745)","cot":[{"info":"⩏⊷≩⊺⇮1308=⊺⇮2315","layer":3},{"info":"⫛⫱⨽⊺⇮2315=⊺⇮0","layer":2},{"info":"⊺⇮1266↞⋁⊺⇮4105=NaN","layer":3},{"info":"∐⩳⋚⊺⇮3826=⊺⇮559343","layer":3},{"info":"NaN∌↝⊺⇮559343=NaN","layer":2},{"info":"⊺⇮0⩼⇪↪NaN=NaN","layer":1},{"info":"⊺⇮2897⫽⇹≛=⊺⇮272","layer":3},{"info":"⊺⇮2206⋻⩜⩜⊺⇮1302=⊺⇮4412","layer":3},{"info":"⊺⇮272+⇶⊼⊺⇮4412=NaN","layer":2},{"info":"⊺⇮1645⋅⇍⊺⇮1125=⊺⇮-22","layer":3},{"info":"⊺⇮2573⩖⊿⊺⇮2745=⊺⇮11586","layer":3},{"info":"⊺⇮-22⊋⊺⇮11586=⊺⇮0","layer":2},{"info":"NaN/⊺⇮0=NaN","layer":1},{"info":"NaN⨔≚≋NaN=NaN","layer":0}]}
{"id":132,"expression_no_base_symbol":"($1362$≳⇉$6097$⇟⨁⪰)⇄(⫟$1957$)∳⫺($1172$⇋≉)⩺⪪((⨵($1893$⩧⪆$4160$))∽(≦∁($4921$∈)))","expression":"(⊺⇮1362≳⇉⊺⇮6097⇟⨁⪰)⇄(⫟⊺⇮1957)∳⫺(⊺⇮1172⇋≉)⩺⪪((⨵(⊺⇮1893⩧⪆⊺⇮4160))∽(≦∁(⊺⇮4921∈)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":666092468,"operation_count":12,"complexity_ratio":55507705.666666664,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1362,"base":10},"right_expr":{"type":"numeric_atoms","value":6097,"base":10}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1957,"base":10}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1172,"base":10}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1893,"base":10},"right_expr":{"type":"numeric_atoms","value":4160,"base":10}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":4921,"base":10}}}}},"used_operators":["uvdQJvN4PV","3EYGwJThht","BX1lVwlMe0","V0kx6qeWkN","AzXXKTstlj","z4E1FaHLuy","XIabStNQrY","y4ImoPnbV5","Tl3Y52tvF8","Ikt5ks8PT7","9ICcGScMcE","ztP7wcbY7m"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","2DDjHMKMc0","xUOZtlo3hN","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","QMFrweE19q","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","eewbuw0ToL","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1362","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=6097, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=nan","layer":2},{"info":"number node, value=1957","layer":4},{"info":"compute unary expreesion, input=1957, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-4964","layer":3},{"info":"number node, value=1172","layer":4},{"info":"compute unary expreesion, input=1172, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2246","layer":3},{"info":"compute binary expreesion, left_input=-4964, right_input=2246, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-24286","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24286, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"number node, value=1893","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=4160, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4160","layer":3},{"info":"compute unary expreesion, input=-4160, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=102695","layer":2},{"info":"number node, value=4921","layer":4},{"info":"compute unary expreesion, input=4921, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=14092","layer":3},{"info":"compute unary expreesion, input=14092, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=14092","layer":2},{"info":"compute binary expreesion, left_input=102695, right_input=14092, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-555573","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-555573, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1362≳⇉⊺⇮6097⇟⨁⪰)⇄(⫟⊺⇮1957)∳⫺(⊺⇮1172⇋≉)⩺⪪((⨵(⊺⇮1893⩧⪆⊺⇮4160))∽(≦∁(⊺⇮4921∈)))=NaN","reverse_text":"NaN=(⊺⇮1362≳⇉⊺⇮6097⇟⨁⪰)⇄(⫟⊺⇮1957)∳⫺(⊺⇮1172⇋≉)⩺⪪((⨵(⊺⇮1893⩧⪆⊺⇮4160))∽(≦∁(⊺⇮4921∈)))","cot":[{"info":"⊺⇮1362≳⇉⊺⇮6097=NaN","layer":3},{"info":"NaN⇟⨁⪰=NaN","layer":2},{"info":"⫟⊺⇮1957=⊺⇮-4964","layer":3},{"info":"⊺⇮1172⇋≉=⊺⇮2246","layer":3},{"info":"⊺⇮-4964∳⫺⊺⇮2246=⊺⇮-24286","layer":2},{"info":"NaN⇄⊺⇮-24286=NaN","layer":1},{"info":"⊺⇮1893⩧⪆⊺⇮4160=⊺⇮-4160","layer":3},{"info":"⨵⊺⇮-4160=⊺⇮102695","layer":2},{"info":"⊺⇮4921∈=⊺⇮14092","layer":3},{"info":"≦∁⊺⇮14092=⊺⇮14092","layer":2},{"info":"⊺⇮102695∽⊺⇮14092=⊺⇮-555573","layer":1},{"info":"NaN⩺⪪⊺⇮-555573=NaN","layer":0}]}
{"id":133,"expression_no_base_symbol":"⇵⪽(($1928$≎⪠$1523$⫳≱↱$1336$⋭≵$2968$)⨉)","expression":"⇵⪽((⊺⇮1928≎⪠⊺⇮1523⫳≱↱⊺⇮1336⋭≵⊺⇮2968)⨉)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19829,"operation_count":5,"complexity_ratio":3965.8,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1928,"base":10},"right_expr":{"type":"numeric_atoms","value":1523,"base":10}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1336,"base":10},"right_expr":{"type":"numeric_atoms","value":2968,"base":10}}}}},"used_operators":["ZGCBLdVRRX","aMUSaJuDRU","ZvLB05nZmT","aNhz54LH3e","jBncVCNhdl"],"dependent_operators":["U7g4x0WXJJ","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1928","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=1523, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=2968, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=67, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-538","layer":2},{"info":"compute unary expreesion, input=-538, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=1252","layer":1},{"info":"compute unary expreesion, input=1252, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇵⪽((⊺⇮1928≎⪠⊺⇮1523⫳≱↱⊺⇮1336⋭≵⊺⇮2968)⨉)=NaN","reverse_text":"NaN=⇵⪽((⊺⇮1928≎⪠⊺⇮1523⫳≱↱⊺⇮1336⋭≵⊺⇮2968)⨉)","cot":[{"info":"⊺⇮1928≎⪠⊺⇮1523=⊺⇮19558","layer":3},{"info":"⊺⇮1336⋭≵⊺⇮2968=⊺⇮67","layer":3},{"info":"⊺⇮19558⫳≱↱⊺⇮67=⊺⇮-538","layer":2},{"info":"⊺⇮-538⨉=⊺⇮1252","layer":1},{"info":"⇵⪽⊺⇮1252=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"($6711$≃$1222$⩺⪪(↔$3497$)⩹$4874$⇌⫙⪟$1077$⇼⇔∾(∓$3203$))⫒⫫(⊖∈($1704$⨚⇆$1088$)⇡⇂($2555$-$1536$))","expression":"(⊺⇮6711≃⊺⇮1222⩺⪪(↔⊺⇮3497)⩹⊺⇮4874⇌⫙⪟⊺⇮1077⇼⇔∾(∓⊺⇮3203))⫒⫫(⊖∈(⊺⇮1704⨚⇆⊺⇮1088)⇡⇂(⊺⇮2555-⊺⇮1536))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16959,"operation_count":12,"complexity_ratio":1413.25,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":6711,"base":10},"right_expr":{"type":"numeric_atoms","value":1222,"base":10}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3497,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4874,"base":10},"right_expr":{"type":"numeric_atoms","value":1077,"base":10}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":3203,"base":10}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1704,"base":10},"right_expr":{"type":"numeric_atoms","value":1088,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2555,"base":10},"right_expr":{"type":"numeric_atoms","value":1536,"base":10}}}}},"used_operators":["6Ko8hGgeMq","2Wsdkap16l","uvdQJvN4PV","YbVcJGFEVW","ruOEQAzv1W","tifHPKVTfV","AFVx7xoS7T","OwUj7dcsQK","YFxL8Sc2Zy","UMwdvZNt44","lwHaAYXP2r","rysDP5nf3Z"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6711","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=6711, right_input=1222, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-26884","layer":3},{"info":"number node, value=3497","layer":4},{"info":"compute unary expreesion, input=3497, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3224","layer":3},{"info":"compute binary expreesion, left_input=-26884, right_input=-3224, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"number node, value=4874","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=4874, right_input=1077, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=3203","layer":4},{"info":"compute unary expreesion, input=3203, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-52917","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-52917, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-53030","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=-53030, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-53032","layer":1},{"info":"number node, value=1704","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=1088, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=2555","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=1536, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1019","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1019, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-53032, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6711≃⊺⇮1222⩺⪪(↔⊺⇮3497)⩹⊺⇮4874⇌⫙⪟⊺⇮1077⇼⇔∾(∓⊺⇮3203))⫒⫫(⊖∈(⊺⇮1704⨚⇆⊺⇮1088)⇡⇂(⊺⇮2555-⊺⇮1536))=NaN","reverse_text":"NaN=(⊺⇮6711≃⊺⇮1222⩺⪪(↔⊺⇮3497)⩹⊺⇮4874⇌⫙⪟⊺⇮1077⇼⇔∾(∓⊺⇮3203))⫒⫫(⊖∈(⊺⇮1704⨚⇆⊺⇮1088)⇡⇂(⊺⇮2555-⊺⇮1536))","cot":[{"info":"⊺⇮6711≃⊺⇮1222=⊺⇮-26884","layer":3},{"info":"↔⊺⇮3497=⊺⇮-3224","layer":3},{"info":"⊺⇮-26884⩺⪪⊺⇮-3224=⊺⇮-1818","layer":2},{"info":"⊺⇮4874⇌⫙⪟⊺⇮1077=⊺⇮113","layer":3},{"info":"∓⊺⇮3203=⊺⇮-52917","layer":3},{"info":"⊺⇮113⇼⇔∾⊺⇮-52917=⊺⇮-53030","layer":2},{"info":"⊺⇮-1818⩹⊺⇮-53030=⊺⇮-53032","layer":1},{"info":"⊺⇮1704⨚⇆⊺⇮1088=NaN","layer":3},{"info":"⊺⇮2555-⊺⇮1536=⊺⇮1019","layer":3},{"info":"NaN⇡⇂⊺⇮1019=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"⊺⇮-53032⫒⫫NaN=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"((($7685$∑⇟⊟$2754$)⩅⪻⪻)⩁)⫯⪬∳(⇈(≸$5825$))≁(($2366$⪒$3675$)⪓⨏)","expression":"(((⊺⇮7685∑⇟⊟⊺⇮2754)⩅⪻⪻)⩁)⫯⪬∳(⇈(≸⊺⇮5825))≁((⊺⇮2366⪒⊺⇮3675)⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7426,"operation_count":9,"complexity_ratio":825.1111111111111,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7685,"base":10},"right_expr":{"type":"numeric_atoms","value":2754,"base":10}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":5825,"base":10}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2366,"base":10},"right_expr":{"type":"numeric_atoms","value":3675,"base":10}}}}},"used_operators":["d7ASUq0ydm","5GqDbVmqXU","kHoXpA7yos","U7g4x0WXJJ","8N2wDY1A35","SLLxy00UIr","eOf03JbCpp","4X9JU4Jbn6","f6k1SAg4EE"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮86683","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7685","layer":4},{"info":"number node, value=2754","layer":4},{"info":"compute binary expreesion, left_input=7685, right_input=2754, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-29052","layer":1},{"info":"number node, value=5825","layer":4},{"info":"compute unary expreesion, input=5825, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=2366","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=3675, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6041","layer":3},{"info":"compute unary expreesion, input=-6041, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-29052, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=86683","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮7685∑⇟⊟⊺⇮2754)⩅⪻⪻)⩁)⫯⪬∳(⇈(≸⊺⇮5825))≁((⊺⇮2366⪒⊺⇮3675)⪓⨏)=⊺⇮86683","reverse_text":"⊺⇮86683=(((⊺⇮7685∑⇟⊟⊺⇮2754)⩅⪻⪻)⩁)⫯⪬∳(⇈(≸⊺⇮5825))≁((⊺⇮2366⪒⊺⇮3675)⪓⨏)","cot":[{"info":"⊺⇮7685∑⇟⊟⊺⇮2754=NaN","layer":3},{"info":"NaN⩅⪻⪻=⊺⇮3979","layer":2},{"info":"⊺⇮3979⩁=⊺⇮-29052","layer":1},{"info":"≸⊺⇮5825=⊺⇮58","layer":3},{"info":"⇈⊺⇮58=⊺⇮-447","layer":2},{"info":"⊺⇮2366⪒⊺⇮3675=⊺⇮-6041","layer":3},{"info":"⊺⇮-6041⪓⨏=NaN","layer":2},{"info":"⊺⇮-447≁NaN=NaN","layer":1},{"info":"⊺⇮-29052⫯⪬∳NaN=⊺⇮86683","layer":0}]}
{"id":136,"expression_no_base_symbol":"(($1149$⫸⊐$1457$)⩧⪆$1827$⪘⫢$2878$∲⫓$1951$⪝$4571$⨔⇊($2911$⫸⇳$7639$))≒∊(($2949$⨔⇊$4009$)↳≱($2949$⩒⫫$3602$)∑⇟⊟((≻⋜$5959$)↬⩅∪))","expression":"((⊺⇮1149⫸⊐⊺⇮1457)⩧⪆⊺⇮1827⪘⫢⊺⇮2878∲⫓⊺⇮1951⪝⊺⇮4571⨔⇊(⊺⇮2911⫸⇳⊺⇮7639))≒∊((⊺⇮2949⨔⇊⊺⇮4009)↳≱(⊺⇮2949⩒⫫⊺⇮3602)∑⇟⊟((≻⋜⊺⇮5959)↬⩅∪))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":29702,"operation_count":14,"complexity_ratio":2121.5714285714284,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1149,"base":10},"right_expr":{"type":"numeric_atoms","value":1457,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1827,"base":10},"right_expr":{"type":"numeric_atoms","value":2878,"base":10}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1951,"base":10},"right_expr":{"type":"numeric_atoms","value":4571,"base":10}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2911,"base":10},"right_expr":{"type":"numeric_atoms","value":7639,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2949,"base":10},"right_expr":{"type":"numeric_atoms","value":4009,"base":10}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2949,"base":10},"right_expr":{"type":"numeric_atoms","value":3602,"base":10}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":5959,"base":10}}}}},"used_operators":["5KTvxBwnZo","i8ToyICDmI","Ikt5ks8PT7","mqXw5SEYmG","oacrs7FA3X","JclMnS0uGI","wicAB68Tmb","gx7XJ7hdpj","U7g4x0WXJJ","JwTKLfZU96","KFSx94NKJn","VJ330n2nnx","3tj9sqzovi"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1457, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5703","layer":3},{"info":"number node, value=1827","layer":4},{"info":"number node, value=2878","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=2878, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3530","layer":3},{"info":"compute binary expreesion, left_input=5703, right_input=3530, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3530","layer":2},{"info":"number node, value=1951","layer":4},{"info":"number node, value=4571","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=4571, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=2911","layer":4},{"info":"number node, value=7639","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=7639, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3530, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-3530","layer":1},{"info":"number node, value=2949","layer":4},{"info":"number node, value=4009","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=4009, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4009","layer":3},{"info":"number node, value=2949","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=3602, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2647","layer":3},{"info":"compute binary expreesion, left_input=4009, right_input=2647, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=5959","layer":4},{"info":"compute unary expreesion, input=5959, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3530, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1149⫸⊐⊺⇮1457)⩧⪆⊺⇮1827⪘⫢⊺⇮2878∲⫓⊺⇮1951⪝⊺⇮4571⨔⇊(⊺⇮2911⫸⇳⊺⇮7639))≒∊((⊺⇮2949⨔⇊⊺⇮4009)↳≱(⊺⇮2949⩒⫫⊺⇮3602)∑⇟⊟((≻⋜⊺⇮5959)↬⩅∪))=NaN","reverse_text":"NaN=((⊺⇮1149⫸⊐⊺⇮1457)⩧⪆⊺⇮1827⪘⫢⊺⇮2878∲⫓⊺⇮1951⪝⊺⇮4571⨔⇊(⊺⇮2911⫸⇳⊺⇮7639))≒∊((⊺⇮2949⨔⇊⊺⇮4009)↳≱(⊺⇮2949⩒⫫⊺⇮3602)∑⇟⊟((≻⋜⊺⇮5959)↬⩅∪))","cot":[{"info":"⊺⇮1149⫸⊐⊺⇮1457=⊺⇮5703","layer":3},{"info":"⊺⇮1827⪘⫢⊺⇮2878=⊺⇮3530","layer":3},{"info":"⊺⇮5703⩧⪆⊺⇮3530=⊺⇮-3530","layer":2},{"info":"⊺⇮1951⪝⊺⇮4571=⊺⇮237","layer":3},{"info":"⊺⇮2911⫸⇳⊺⇮7639=⊺⇮0","layer":3},{"info":"⊺⇮237⨔⇊⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-3530∲⫓⊺⇮0=⊺⇮-3530","layer":1},{"info":"⊺⇮2949⨔⇊⊺⇮4009=⊺⇮4009","layer":3},{"info":"⊺⇮2949⩒⫫⊺⇮3602=⊺⇮2647","layer":3},{"info":"⊺⇮4009↳≱⊺⇮2647=⊺⇮0","layer":2},{"info":"≻⋜⊺⇮5959=NaN","layer":3},{"info":"NaN↬⩅∪=NaN","layer":2},{"info":"⊺⇮0∑⇟⊟NaN=NaN","layer":1},{"info":"⊺⇮-3530≒∊NaN=NaN","layer":0}]}
{"id":137,"expression_no_base_symbol":"(($1533$⪭≯$5701$)⊱⇼⊻(⇋⊎⋝$1391$)≨($4926$⪎↠$3366$⋝⋈⪟(∮$1938$)))∋(((↨$7077$)∑⇟⊟$4177$⪟⇏$4239$)↳∿⪆($5574$⨟⋌⩍$2861$)⪝($1478$⩖⊿$6400$))","expression":"((⊺⇮1533⪭≯⊺⇮5701)⊱⇼⊻(⇋⊎⋝⊺⇮1391)≨(⊺⇮4926⪎↠⊺⇮3366⋝⋈⪟(∮⊺⇮1938)))∋(((↨⊺⇮7077)∑⇟⊟⊺⇮4177⪟⇏⊺⇮4239)↳∿⪆(⊺⇮5574⨟⋌⩍⊺⇮2861)⪝(⊺⇮1478⩖⊿⊺⇮6400))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4963,"operation_count":15,"complexity_ratio":330.8666666666667,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1533,"base":10},"right_expr":{"type":"numeric_atoms","value":5701,"base":10}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1391,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4926,"base":10},"right_expr":{"type":"numeric_atoms","value":3366,"base":10}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1938,"base":10}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":7077,"base":10}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4177,"base":10},"right_expr":{"type":"numeric_atoms","value":4239,"base":10}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5574,"base":10},"right_expr":{"type":"numeric_atoms","value":2861,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1478,"base":10},"right_expr":{"type":"numeric_atoms","value":6400,"base":10}}}}},"used_operators":["ukq6epAj5P","0KMCeP1Jsh","FyVja0WsTP","XAx5wpdLa6","CzM2PEoXns","2DDjHMKMc0","3tVxb0NHM4","CqXKPLVYql","Cw4SuJJGHO","U7g4x0WXJJ","jiX4gk2v2Q","GODebY97qR","wicAB68Tmb","rGHVDoGpnC","RZ5CV9rWsJ"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","oZj3VtZNQx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Tcnh7f0tEr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1533","layer":4},{"info":"number node, value=5701","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=5701, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1391","layer":4},{"info":"compute unary expreesion, input=1391, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":2},{"info":"number node, value=4926","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=3366, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1938","layer":4},{"info":"compute unary expreesion, input=1938, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"number node, value=7077","layer":4},{"info":"compute unary expreesion, input=7077, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=4177","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=4177, right_input=4239, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5574","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=5574, right_input=2861, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1478","layer":4},{"info":"number node, value=6400","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=6400, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=45206","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=45206, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1533⪭≯⊺⇮5701)⊱⇼⊻(⇋⊎⋝⊺⇮1391)≨(⊺⇮4926⪎↠⊺⇮3366⋝⋈⪟(∮⊺⇮1938)))∋(((↨⊺⇮7077)∑⇟⊟⊺⇮4177⪟⇏⊺⇮4239)↳∿⪆(⊺⇮5574⨟⋌⩍⊺⇮2861)⪝(⊺⇮1478⩖⊿⊺⇮6400))=NaN","reverse_text":"NaN=((⊺⇮1533⪭≯⊺⇮5701)⊱⇼⊻(⇋⊎⋝⊺⇮1391)≨(⊺⇮4926⪎↠⊺⇮3366⋝⋈⪟(∮⊺⇮1938)))∋(((↨⊺⇮7077)∑⇟⊟⊺⇮4177⪟⇏⊺⇮4239)↳∿⪆(⊺⇮5574⨟⋌⩍⊺⇮2861)⪝(⊺⇮1478⩖⊿⊺⇮6400))","cot":[{"info":"⊺⇮1533⪭≯⊺⇮5701=NaN","layer":3},{"info":"⇋⊎⋝⊺⇮1391=NaN","layer":3},{"info":"NaN⊱⇼⊻NaN=NaN","layer":2},{"info":"⊺⇮4926⪎↠⊺⇮3366=⊺⇮160","layer":3},{"info":"∮⊺⇮1938=⊺⇮67","layer":3},{"info":"⊺⇮160⋝⋈⪟⊺⇮67=⊺⇮160","layer":2},{"info":"NaN≨⊺⇮160=NaN","layer":1},{"info":"↨⊺⇮7077=NaN","layer":3},{"info":"⊺⇮4177⪟⇏⊺⇮4239=⊺⇮-1","layer":3},{"info":"NaN∑⇟⊟⊺⇮-1=NaN","layer":2},{"info":"⊺⇮5574⨟⋌⩍⊺⇮2861=NaN","layer":3},{"info":"⊺⇮1478⩖⊿⊺⇮6400=⊺⇮45206","layer":3},{"info":"NaN⪝⊺⇮45206=NaN","layer":2},{"info":"NaN↳∿⪆NaN=NaN","layer":1},{"info":"NaN∋NaN=NaN","layer":0}]}
{"id":138,"expression_no_base_symbol":"⊤⊝($3525$⊋$1791$⩵∡(↘$1025$))⨚((⪭⩑⪱$1260$)⨶)","expression":"⊤⊝(⊺⇮3525⊋⊺⇮1791⩵∡(↘⊺⇮1025))⨚((⪭⩑⪱⊺⇮1260)⨶)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":352051,"operation_count":7,"complexity_ratio":50293.0,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3525,"base":10},"right_expr":{"type":"numeric_atoms","value":1791,"base":10}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1025,"base":10}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1260,"base":10}}}}},"used_operators":["rXAclfmB4M","nREPSIbpBE","Y7wcNGrDQJ","W4tP9CfskL","LdNpr8hQHL","rFxw8gIMmB","SIgE0bArFf"],"dependent_operators":["sdazOOVcIp","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","glklzrTFfD","tifHPKVTfV","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","uFcxV4UQCh","f6k1SAg4EE","Qy55tPpLXF","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"⊺⇮-327210870","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3525","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=1791, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=24261732","layer":3},{"info":"number node, value=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=241","layer":3},{"info":"compute binary expreesion, left_input=24261732, right_input=241, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-48523344","layer":2},{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=16639758","layer":2},{"info":"compute binary expreesion, left_input=-48523344, right_input=16639758, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-163604786","layer":1},{"info":"compute unary expreesion, input=-163604786, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-327210870","layer":0}],"base":10,"result_base":10,"text":"⊤⊝(⊺⇮3525⊋⊺⇮1791⩵∡(↘⊺⇮1025))⨚((⪭⩑⪱⊺⇮1260)⨶)=⊺⇮-327210870","reverse_text":"⊺⇮-327210870=⊤⊝(⊺⇮3525⊋⊺⇮1791⩵∡(↘⊺⇮1025))⨚((⪭⩑⪱⊺⇮1260)⨶)","cot":[{"info":"⊺⇮3525⊋⊺⇮1791=⊺⇮24261732","layer":3},{"info":"↘⊺⇮1025=⊺⇮241","layer":3},{"info":"⊺⇮24261732⩵∡⊺⇮241=⊺⇮-48523344","layer":2},{"info":"⪭⩑⪱⊺⇮1260=⊺⇮8320752","layer":3},{"info":"⊺⇮8320752⨶=⊺⇮16639758","layer":2},{"info":"⊺⇮-48523344⨚⊺⇮16639758=⊺⇮-163604786","layer":1},{"info":"⊤⊝⊺⇮-163604786=⊺⇮-327210870","layer":0}]}
{"id":139,"expression_no_base_symbol":"(($1840$∷$1027$)↳∿⪆($3474$⨔≚≋$1014$)≭($3292$≎⊠⪸$4377$∠⫱$5013$⋥⋵⩄$1696$))⇤(≇⪴(∤$2534$⫥∨⫟$1409$))","expression":"((⊺⇮1840∷⊺⇮1027)↳∿⪆(⊺⇮3474⨔≚≋⊺⇮1014)≭(⊺⇮3292≎⊠⪸⊺⇮4377∠⫱⊺⇮5013⋥⋵⩄⊺⇮1696))⇤(≇⪴(∤⊺⇮2534⫥∨⫟⊺⇮1409))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3095,"operation_count":11,"complexity_ratio":281.3636363636364,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1840,"base":10},"right_expr":{"type":"numeric_atoms","value":1027,"base":10}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3474,"base":10},"right_expr":{"type":"numeric_atoms","value":1014,"base":10}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3292,"base":10},"right_expr":{"type":"numeric_atoms","value":4377,"base":10}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5013,"base":10},"right_expr":{"type":"numeric_atoms","value":1696,"base":10}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2534,"base":10},"right_expr":{"type":"numeric_atoms","value":1409,"base":10}}}}},"used_operators":["YSKBFp38Pu","rxpJgHHUmx","Cw4SuJJGHO","D3AQDKkPcf","Z57zeUYC9z","QvoQhV0rrE","bJkvcejdHO","7t3wd0Fuz7","zoVPnxeHJ3","k2HlF1dBQh","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","AHs5Up7iyr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1840","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=1027, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1027","layer":3},{"info":"number node, value=3474","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=3474, right_input=1014, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=1027, right_input=9872, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=3292","layer":4},{"info":"number node, value=4377","layer":4},{"info":"compute binary expreesion, left_input=3292, right_input=4377, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=852155","layer":3},{"info":"number node, value=5013","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=5013, right_input=1696, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=852155, right_input=113, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=852042","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=852042, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2534","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=1409, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1840∷⊺⇮1027)↳∿⪆(⊺⇮3474⨔≚≋⊺⇮1014)≭(⊺⇮3292≎⊠⪸⊺⇮4377∠⫱⊺⇮5013⋥⋵⩄⊺⇮1696))⇤(≇⪴(∤⊺⇮2534⫥∨⫟⊺⇮1409))=NaN","reverse_text":"NaN=((⊺⇮1840∷⊺⇮1027)↳∿⪆(⊺⇮3474⨔≚≋⊺⇮1014)≭(⊺⇮3292≎⊠⪸⊺⇮4377∠⫱⊺⇮5013⋥⋵⩄⊺⇮1696))⇤(≇⪴(∤⊺⇮2534⫥∨⫟⊺⇮1409))","cot":[{"info":"⊺⇮1840∷⊺⇮1027=⊺⇮1027","layer":3},{"info":"⊺⇮3474⨔≚≋⊺⇮1014=⊺⇮9872","layer":3},{"info":"⊺⇮1027↳∿⪆⊺⇮9872=NaN","layer":2},{"info":"⊺⇮3292≎⊠⪸⊺⇮4377=⊺⇮852155","layer":3},{"info":"⊺⇮5013⋥⋵⩄⊺⇮1696=⊺⇮113","layer":3},{"info":"⊺⇮852155∠⫱⊺⇮113=⊺⇮852042","layer":2},{"info":"NaN≭⊺⇮852042=NaN","layer":1},{"info":"⊺⇮2534⫥∨⫟⊺⇮1409=NaN","layer":3},{"info":"∤NaN=NaN","layer":2},{"info":"≇⪴NaN=NaN","layer":1},{"info":"NaN⇤NaN=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"⪁⇼(($1091$≀⫉$4607$)⊔(≉$2903$)⋖∅⋲)","expression":"⪁⇼((⊺⇮1091≀⫉⊺⇮4607)⊔(≉⊺⇮2903)⋖∅⋲)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":358,"operation_count":5,"complexity_ratio":71.6,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1091,"base":10},"right_expr":{"type":"numeric_atoms","value":4607,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2903,"base":10}}}}},"used_operators":["ZNVVrZ94lY","L95AwlJzhO","E4l6HwMY31","oZj3VtZNQx","e1ybzncUwg"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮422","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1091","layer":4},{"info":"number node, value=4607","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=4607, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2903","layer":4},{"info":"compute unary expreesion, input=2903, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3434","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=3434, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=20414","layer":2},{"info":"compute unary expreesion, input=20414, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"compute unary expreesion, input=-384231, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":10,"result_base":10,"text":"⪁⇼((⊺⇮1091≀⫉⊺⇮4607)⊔(≉⊺⇮2903)⋖∅⋲)=⊺⇮422","reverse_text":"⊺⇮422=⪁⇼((⊺⇮1091≀⫉⊺⇮4607)⊔(≉⊺⇮2903)⋖∅⋲)","cot":[{"info":"⊺⇮1091≀⫉⊺⇮4607=⊺⇮2822","layer":3},{"info":"≉⊺⇮2903=⊺⇮3434","layer":3},{"info":"⊺⇮2822⊔⊺⇮3434=⊺⇮20414","layer":2},{"info":"⊺⇮20414⋖∅⋲=⊺⇮-384231","layer":1},{"info":"⪁⇼⊺⇮-384231=⊺⇮422","layer":0}]}
{"id":141,"expression_no_base_symbol":"(∜⨇(($8538$⨔≚≋$1125$)⫻⋑⊟))∘((⊤⊝$2568$)⩼⇪↪($4452$⫸⇳$3488$)≎⊠⪸(⪓⩚($1197$⫸⇳$5171$)))","expression":"(∜⨇((⊺⇮8538⨔≚≋⊺⇮1125)⫻⋑⊟))∘((⊤⊝⊺⇮2568)⩼⇪↪(⊺⇮4452⫸⇳⊺⇮3488)≎⊠⪸(⪓⩚(⊺⇮1197⫸⇳⊺⇮5171)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3800,"operation_count":10,"complexity_ratio":380.0,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":8538,"base":10},"right_expr":{"type":"numeric_atoms","value":1125,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2568,"base":10}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4452,"base":10},"right_expr":{"type":"numeric_atoms","value":3488,"base":10}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1197,"base":10},"right_expr":{"type":"numeric_atoms","value":5171,"base":10}}}}},"used_operators":["Z5m6OM72h2","uFPyJr306J","o575Zjdmzy","Z57zeUYC9z","bJkvcejdHO","ocnLzx9CaJ","rXAclfmB4M","gx7XJ7hdpj","u0R0Locfp2"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8538","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=8538, right_input=1125, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-19234","layer":2},{"info":"compute unary expreesion, input=-19234, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"number node, value=2568","layer":4},{"info":"compute unary expreesion, input=2568, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=3838","layer":3},{"info":"number node, value=4452","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=3488, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3838, right_input=0, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=6893","layer":2},{"info":"number node, value=1197","layer":4},{"info":"number node, value=5171","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=5171, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute binary expreesion, left_input=6893, right_input=426, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1784814","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1784814, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∜⨇((⊺⇮8538⨔≚≋⊺⇮1125)⫻⋑⊟))∘((⊤⊝⊺⇮2568)⩼⇪↪(⊺⇮4452⫸⇳⊺⇮3488)≎⊠⪸(⪓⩚(⊺⇮1197⫸⇳⊺⇮5171)))=NaN","reverse_text":"NaN=(∜⨇((⊺⇮8538⨔≚≋⊺⇮1125)⫻⋑⊟))∘((⊤⊝⊺⇮2568)⩼⇪↪(⊺⇮4452⫸⇳⊺⇮3488)≎⊠⪸(⪓⩚(⊺⇮1197⫸⇳⊺⇮5171)))","cot":[{"info":"⊺⇮8538⨔≚≋⊺⇮1125=⊺⇮9872","layer":3},{"info":"⊺⇮9872⫻⋑⊟=⊺⇮-19234","layer":2},{"info":"∜⨇⊺⇮-19234=NaN","layer":1},{"info":"⊤⊝⊺⇮2568=⊺⇮3838","layer":3},{"info":"⊺⇮4452⫸⇳⊺⇮3488=⊺⇮0","layer":3},{"info":"⊺⇮3838⩼⇪↪⊺⇮0=⊺⇮6893","layer":2},{"info":"⊺⇮1197⫸⇳⊺⇮5171=⊺⇮0","layer":3},{"info":"⪓⩚⊺⇮0=⊺⇮426","layer":2},{"info":"⊺⇮6893≎⊠⪸⊺⇮426=⊺⇮1784814","layer":1},{"info":"NaN∘⊺⇮1784814=NaN","layer":0}]}
{"id":142,"expression_no_base_symbol":"⊽(($2563$⪹)⪘⫢($1129$≥⨤⩑$1111$)∙⊟(⋣($6047$⇷$2231$)))","expression":"⊽((⊺⇮2563⪹)⪘⫢(⊺⇮1129≥⨤⩑⊺⇮1111)∙⊟(⋣(⊺⇮6047⇷⊺⇮2231)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":104066,"operation_count":7,"complexity_ratio":14866.57142857143,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2563,"base":10}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1129,"base":10},"right_expr":{"type":"numeric_atoms","value":1111,"base":10}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6047,"base":10},"right_expr":{"type":"numeric_atoms","value":2231,"base":10}}}}},"used_operators":["QxG7OkqoLX","SxTAKzQCrw","oacrs7FA3X","B3sABdIn96","gJLn6v0xnP","zQWRhDnn8F","mp7IySMOzn"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⊺⇮518126","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2563","layer":4},{"info":"compute unary expreesion, input=2563, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=9618","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1111, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=9618, right_input=1234, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=19112","layer":2},{"info":"number node, value=6047","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=6047, right_input=2231, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4462","layer":3},{"info":"compute unary expreesion, input=4462, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1311733","layer":2},{"info":"compute binary expreesion, left_input=19112, right_input=-1311733, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=258302","layer":1},{"info":"compute unary expreesion, input=258302, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=518126","layer":0}],"base":10,"result_base":10,"text":"⊽((⊺⇮2563⪹)⪘⫢(⊺⇮1129≥⨤⩑⊺⇮1111)∙⊟(⋣(⊺⇮6047⇷⊺⇮2231)))=⊺⇮518126","reverse_text":"⊺⇮518126=⊽((⊺⇮2563⪹)⪘⫢(⊺⇮1129≥⨤⩑⊺⇮1111)∙⊟(⋣(⊺⇮6047⇷⊺⇮2231)))","cot":[{"info":"⊺⇮2563⪹=⊺⇮9618","layer":3},{"info":"⊺⇮1129≥⨤⩑⊺⇮1111=⊺⇮1234","layer":3},{"info":"⊺⇮9618⪘⫢⊺⇮1234=⊺⇮19112","layer":2},{"info":"⊺⇮6047⇷⊺⇮2231=⊺⇮4462","layer":3},{"info":"⋣⊺⇮4462=⊺⇮-1311733","layer":2},{"info":"⊺⇮19112∙⊟⊺⇮-1311733=⊺⇮258302","layer":1},{"info":"⊽⊺⇮258302=⊺⇮518126","layer":0}]}
{"id":143,"expression_no_base_symbol":"(($1966$⇄$1355$)⨸($1316$≭$4820$)⪔(⊢≑≆($2123$⋷$1258$)))∼($2937$⪝$1095$⨑≵⋬$2153$∴$1526$)⩍⋽⫝̸(↪⫪⫘$1963$)⫘$1865$↢$6205$","expression":"((⊺⇮1966⇄⊺⇮1355)⨸(⊺⇮1316≭⊺⇮4820)⪔(⊢≑≆(⊺⇮2123⋷⊺⇮1258)))∼(⊺⇮2937⪝⊺⇮1095⨑≵⋬⊺⇮2153∴⊺⇮1526)⩍⋽⫝̸(↪⫪⫘⊺⇮1963)⫘⊺⇮1865↢⊺⇮6205","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1491,"operation_count":14,"complexity_ratio":106.5,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1966,"base":10},"right_expr":{"type":"numeric_atoms","value":1355,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1316,"base":10},"right_expr":{"type":"numeric_atoms","value":4820,"base":10}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2123,"base":10},"right_expr":{"type":"numeric_atoms","value":1258,"base":10}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2937,"base":10},"right_expr":{"type":"numeric_atoms","value":1095,"base":10}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2153,"base":10},"right_expr":{"type":"numeric_atoms","value":1526,"base":10}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1963,"base":10}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1865,"base":10},"right_expr":{"type":"numeric_atoms","value":6205,"base":10}}}}},"used_operators":["DyGG3AbaNP","GjBEYRfMaF","KmoU8R5UQR","3EYGwJThht","rxpJgHHUmx","27wFxooxGf","23Mk6UjR3U","BiWNJpBvwn","XnXgA4xnOs","wicAB68Tmb","hrf7POJlIJ","48vC8HMD2b","9dWsAM3GFt","WR6HLWljOP"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","AHs5Up7iyr","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1966","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=1355, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=4820","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=4820, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=2123","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=1258, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=393","layer":3},{"info":"compute unary expreesion, input=393, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=-593","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-593, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=2937","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=2937, right_input=1095, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7767","layer":3},{"info":"number node, value=2153","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=1526, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5954","layer":3},{"info":"compute binary expreesion, left_input=-7767, right_input=5954, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-79134","layer":2},{"info":"number node, value=1963","layer":4},{"info":"compute unary expreesion, input=1963, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=1865","layer":4},{"info":"number node, value=6205","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=6205, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1381","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=1381, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=30421","layer":2},{"info":"compute binary expreesion, left_input=-79134, right_input=30421, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=29475","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=29475, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1966⇄⊺⇮1355)⨸(⊺⇮1316≭⊺⇮4820)⪔(⊢≑≆(⊺⇮2123⋷⊺⇮1258)))∼(⊺⇮2937⪝⊺⇮1095⨑≵⋬⊺⇮2153∴⊺⇮1526)⩍⋽⫝̸(↪⫪⫘⊺⇮1963)⫘⊺⇮1865↢⊺⇮6205=NaN","reverse_text":"NaN=((⊺⇮1966⇄⊺⇮1355)⨸(⊺⇮1316≭⊺⇮4820)⪔(⊢≑≆(⊺⇮2123⋷⊺⇮1258)))∼(⊺⇮2937⪝⊺⇮1095⨑≵⋬⊺⇮2153∴⊺⇮1526)⩍⋽⫝̸(↪⫪⫘⊺⇮1963)⫘⊺⇮1865↢⊺⇮6205","cot":[{"info":"⊺⇮1966⇄⊺⇮1355=⊺⇮0","layer":3},{"info":"⊺⇮1316≭⊺⇮4820=NaN","layer":3},{"info":"⊺⇮0⨸NaN=NaN","layer":2},{"info":"⊺⇮2123⋷⊺⇮1258=⊺⇮393","layer":3},{"info":"⊢≑≆⊺⇮393=⊺⇮-593","layer":2},{"info":"NaN⪔⊺⇮-593=NaN","layer":1},{"info":"⊺⇮2937⪝⊺⇮1095=⊺⇮-7767","layer":3},{"info":"⊺⇮2153∴⊺⇮1526=⊺⇮5954","layer":3},{"info":"⊺⇮-7767⨑≵⋬⊺⇮5954=⊺⇮-79134","layer":2},{"info":"↪⫪⫘⊺⇮1963=⊺⇮20","layer":3},{"info":"⊺⇮1865↢⊺⇮6205=⊺⇮1381","layer":3},{"info":"⊺⇮20⫘⊺⇮1381=⊺⇮30421","layer":2},{"info":"⊺⇮-79134⩍⋽⫝̸⊺⇮30421=⊺⇮29475","layer":1},{"info":"NaN∼⊺⇮29475=NaN","layer":0}]}
{"id":144,"expression_no_base_symbol":"(($1310$⊉↱≁$1490$⇡)⇴(⩷⨜⫀$3538$)⊝⪿⪼$1262$⩖⊿$4344$)≨(⩒∊($1610$⨚⇆$1104$↡⊰⫅(⨞⊢$5579$)))","expression":"((⊺⇮1310⊉↱≁⊺⇮1490⇡)⇴(⩷⨜⫀⊺⇮3538)⊝⪿⪼⊺⇮1262⩖⊿⊺⇮4344)≨(⩒∊(⊺⇮1610⨚⇆⊺⇮1104↡⊰⫅(⨞⊢⊺⇮5579)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":668605,"operation_count":11,"complexity_ratio":60782.27272727273,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1310,"base":10},"right_expr":{"type":"numeric_atoms","value":1490,"base":10}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":3538,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1262,"base":10},"right_expr":{"type":"numeric_atoms","value":4344,"base":10}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1610,"base":10},"right_expr":{"type":"numeric_atoms","value":1104,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5579,"base":10}}}}},"used_operators":["0KMCeP1Jsh","4JB6nKBMSY","UqFzSgLMvQ","w2P8NbNXyL","3Oe9XWJUTD","CDi0ktkjQ4","RZ5CV9rWsJ","qazvmhNBbN","VCtxkLNOzz","lwHaAYXP2r","xUOZtlo3hN"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","NTOWxs364D","COABgblf1C","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮192604","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1310","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=1490, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=4108","layer":3},{"info":"compute unary expreesion, input=4108, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"number node, value=3538","layer":4},{"info":"compute unary expreesion, input=3538, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3265","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=4344","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=4344, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=29622","layer":3},{"info":"compute binary expreesion, left_input=-3265, right_input=29622, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-39043","layer":2},{"info":"compute binary expreesion, left_input=-2917, right_input=-39043, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-95974","layer":1},{"info":"number node, value=1610","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=1104, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=5579","layer":4},{"info":"compute unary expreesion, input=5579, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5753","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5753, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-95974, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=192604","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1310⊉↱≁⊺⇮1490⇡)⇴(⩷⨜⫀⊺⇮3538)⊝⪿⪼⊺⇮1262⩖⊿⊺⇮4344)≨(⩒∊(⊺⇮1610⨚⇆⊺⇮1104↡⊰⫅(⨞⊢⊺⇮5579)))=⊺⇮192604","reverse_text":"⊺⇮192604=((⊺⇮1310⊉↱≁⊺⇮1490⇡)⇴(⩷⨜⫀⊺⇮3538)⊝⪿⪼⊺⇮1262⩖⊿⊺⇮4344)≨(⩒∊(⊺⇮1610⨚⇆⊺⇮1104↡⊰⫅(⨞⊢⊺⇮5579)))","cot":[{"info":"⊺⇮1310⊉↱≁⊺⇮1490=⊺⇮4108","layer":3},{"info":"⊺⇮4108⇡=⊺⇮-2917","layer":2},{"info":"⩷⨜⫀⊺⇮3538=⊺⇮-3265","layer":3},{"info":"⊺⇮1262⩖⊿⊺⇮4344=⊺⇮29622","layer":3},{"info":"⊺⇮-3265⊝⪿⪼⊺⇮29622=⊺⇮-39043","layer":2},{"info":"⊺⇮-2917⇴⊺⇮-39043=⊺⇮-95974","layer":1},{"info":"⊺⇮1610⨚⇆⊺⇮1104=NaN","layer":3},{"info":"⨞⊢⊺⇮5579=⊺⇮-5753","layer":3},{"info":"NaN↡⊰⫅⊺⇮-5753=NaN","layer":2},{"info":"⩒∊NaN=NaN","layer":1},{"info":"⊺⇮-95974≨NaN=⊺⇮192604","layer":0}]}
{"id":145,"expression_no_base_symbol":"⇺⋃(($2156$⋥≓≎$5183$)⩖⊿(⊖$2204$)⫲)","expression":"⇺⋃((⊺⇮2156⋥≓≎⊺⇮5183)⩖⊿(⊖⊺⇮2204)⫲)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":108,"operation_count":5,"complexity_ratio":21.6,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2156,"base":10},"right_expr":{"type":"numeric_atoms","value":5183,"base":10}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2204,"base":10}}}}},"used_operators":["E5v5B3UAjG","9xnGDUPbC6","RZ5CV9rWsJ","Qy55tPpLXF","U6pG0PXrV3"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2156","layer":4},{"info":"number node, value=5183","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=5183, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8243","layer":3},{"info":"number node, value=2204","layer":4},{"info":"compute unary expreesion, input=2204, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8243, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-33054","layer":2},{"info":"compute unary expreesion, input=-33054, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=65987","layer":1},{"info":"compute unary expreesion, input=65987, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇺⋃((⊺⇮2156⋥≓≎⊺⇮5183)⩖⊿(⊖⊺⇮2204)⫲)=NaN","reverse_text":"NaN=⇺⋃((⊺⇮2156⋥≓≎⊺⇮5183)⩖⊿(⊖⊺⇮2204)⫲)","cot":[{"info":"⊺⇮2156⋥≓≎⊺⇮5183=⊺⇮8243","layer":3},{"info":"⊖⊺⇮2204=⊺⇮0","layer":3},{"info":"⊺⇮8243⩖⊿⊺⇮0=⊺⇮-33054","layer":2},{"info":"⊺⇮-33054⫲=⊺⇮65987","layer":1},{"info":"⇺⋃⊺⇮65987=NaN","layer":0}]}
{"id":146,"expression_no_base_symbol":"(⨵($5344$⇡⇂$2859$≀⫉($2934$⪁$1287$)))∷(⪨⨬(($4954$⪹)∖$6137$⋣⋖$2206$))","expression":"(⨵(⊺⇮5344⇡⇂⊺⇮2859≀⫉(⊺⇮2934⪁⊺⇮1287)))∷(⪨⨬((⊺⇮4954⪹)∖⊺⇮6137⋣⋖⊺⇮2206))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27906125,"operation_count":9,"complexity_ratio":3100680.5555555555,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5344,"base":10},"right_expr":{"type":"numeric_atoms","value":2859,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2934,"base":10},"right_expr":{"type":"numeric_atoms","value":1287,"base":10}}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4954,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6137,"base":10},"right_expr":{"type":"numeric_atoms","value":2206,"base":10}}}}},"used_operators":["D3AQDKkPcf","Tl3Y52tvF8","oZj3VtZNQx","UMwdvZNt44","I7sXao9hZE","5obUd6DV38","tXD093vOjl","B3sABdIn96","J0M6qkBnIM"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5344","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=5344, right_input=2859, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=2934","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=2934, right_input=1287, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":1},{"info":"number node, value=4954","layer":4},{"info":"compute unary expreesion, input=4954, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=14400","layer":3},{"info":"number node, value=6137","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=6137, right_input=2206, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6137","layer":3},{"info":"compute binary expreesion, left_input=14400, right_input=6137, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-526, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨵(⊺⇮5344⇡⇂⊺⇮2859≀⫉(⊺⇮2934⪁⊺⇮1287)))∷(⪨⨬((⊺⇮4954⪹)∖⊺⇮6137⋣⋖⊺⇮2206))=NaN","reverse_text":"NaN=(⨵(⊺⇮5344⇡⇂⊺⇮2859≀⫉(⊺⇮2934⪁⊺⇮1287)))∷(⪨⨬((⊺⇮4954⪹)∖⊺⇮6137⋣⋖⊺⇮2206))","cot":[{"info":"⊺⇮5344⇡⇂⊺⇮2859=NaN","layer":3},{"info":"⊺⇮2934⪁⊺⇮1287=NaN","layer":3},{"info":"NaN≀⫉NaN=NaN","layer":2},{"info":"⨵NaN=NaN","layer":1},{"info":"⊺⇮4954⪹=⊺⇮14400","layer":3},{"info":"⊺⇮6137⋣⋖⊺⇮2206=⊺⇮6137","layer":3},{"info":"⊺⇮14400∖⊺⇮6137=⊺⇮0","layer":2},{"info":"⪨⨬⊺⇮0=⊺⇮-526","layer":1},{"info":"NaN∷⊺⇮-526=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"⇜((⪨⨬$3013$)⊨($2201$↱$4159$))⪬(≑⋹($2516$≑≱⪘))","expression":"⇜((⪨⨬⊺⇮3013)⊨(⊺⇮2201↱⊺⇮4159))⪬(≑⋹(⊺⇮2516≑≱⪘))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1176,"operation_count":7,"complexity_ratio":168.0,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":3013,"base":10}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2201,"base":10},"right_expr":{"type":"numeric_atoms","value":4159,"base":10}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2516,"base":10}}}}},"used_operators":["lFBm8KRb8F","Ez1Nq5fNfI","vg4gO5BX6G","5obUd6DV38","SR5kFfdi6N","6B9nyZLogK","tGSeddj7UK"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","T2fj7uvVaJ","nlCqmYiOvY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"⊺⇮-10280","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3013","layer":4},{"info":"compute unary expreesion, input=3013, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=2201","layer":4},{"info":"number node, value=4159","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=4159, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-11955","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=-11955, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=2516","layer":4},{"info":"compute unary expreesion, input=2516, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=61781","layer":3},{"info":"compute unary expreesion, input=61781, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=1650, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-10280","layer":0}],"base":10,"result_base":10,"text":"⇜((⪨⨬⊺⇮3013)⊨(⊺⇮2201↱⊺⇮4159))⪬(≑⋹(⊺⇮2516≑≱⪘))=⊺⇮-10280","reverse_text":"⊺⇮-10280=⇜((⪨⨬⊺⇮3013)⊨(⊺⇮2201↱⊺⇮4159))⪬(≑⋹(⊺⇮2516≑≱⪘))","cot":[{"info":"⪨⨬⊺⇮3013=⊺⇮-526","layer":3},{"info":"⊺⇮2201↱⊺⇮4159=⊺⇮-11955","layer":3},{"info":"⊺⇮-526⊨⊺⇮-11955=⊺⇮-174","layer":2},{"info":"⊺⇮2516≑≱⪘=⊺⇮61781","layer":3},{"info":"≑⋹⊺⇮61781=⊺⇮1650","layer":2},{"info":"⊺⇮-174⪬⊺⇮1650=⊺⇮1234","layer":1},{"info":"⇜⊺⇮1234=⊺⇮-10280","layer":0}]}
{"id":148,"expression_no_base_symbol":"($3281$⇮⋭$3457$*(≇⪴$1045$))⋓(⨣⨃⇪($1683$∋$2069$))⩹(($2909$↓$2685$)⨥⫆($1531$∌$1982$))⨜⨶(($6413$⊧↖)⪉⨛$1717$⪒⊣⊆$5019$)","expression":"(⊺⇮3281⇮⋭⊺⇮3457*(≇⪴⊺⇮1045))⋓(⨣⨃⇪(⊺⇮1683∋⊺⇮2069))⩹((⊺⇮2909↓⊺⇮2685)⨥⫆(⊺⇮1531∌⊺⇮1982))⨜⨶((⊺⇮6413⊧↖)⪉⨛⊺⇮1717⪒⊣⊆⊺⇮5019)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45084,"operation_count":14,"complexity_ratio":3220.285714285714,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3281,"base":10},"right_expr":{"type":"numeric_atoms","value":3457,"base":10}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1045,"base":10}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1683,"base":10},"right_expr":{"type":"numeric_atoms","value":2069,"base":10}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2909,"base":10},"right_expr":{"type":"numeric_atoms","value":2685,"base":10}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1531,"base":10},"right_expr":{"type":"numeric_atoms","value":1982,"base":10}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":6413,"base":10}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1717,"base":10},"right_expr":{"type":"numeric_atoms","value":5019,"base":10}}}}},"used_operators":["2Wsdkap16l","T2fj7uvVaJ","9HNa5Wba9A","vkpjKywKVM","zoVPnxeHJ3","AcOhelriW5","ukq6epAj5P","HiPekx5b7W","yXekIHxTD4","Af076pWI7l","8cLx32lpNA","EWw2JM7wp4","EKiFHuOFxO","eRqsBgTDFp"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3281","layer":4},{"info":"number node, value=3457","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=3457, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1795","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-1795, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=849035","layer":2},{"info":"number node, value=1683","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=2069, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4320812","layer":3},{"info":"compute unary expreesion, input=4320812, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=849035, right_input=1405, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=2909","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=2685, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1531","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=1982, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1982","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-1982, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=6413","layer":4},{"info":"compute unary expreesion, input=6413, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=246795020","layer":3},{"info":"number node, value=1717","layer":4},{"info":"number node, value=5019","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=5019, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3434","layer":3},{"info":"compute binary expreesion, left_input=246795020, right_input=3434, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=740381841","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=740381841, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1480763426","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1480763426, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3281⇮⋭⊺⇮3457*(≇⪴⊺⇮1045))⋓(⨣⨃⇪(⊺⇮1683∋⊺⇮2069))⩹((⊺⇮2909↓⊺⇮2685)⨥⫆(⊺⇮1531∌⊺⇮1982))⨜⨶((⊺⇮6413⊧↖)⪉⨛⊺⇮1717⪒⊣⊆⊺⇮5019)=NaN","reverse_text":"NaN=(⊺⇮3281⇮⋭⊺⇮3457*(≇⪴⊺⇮1045))⋓(⨣⨃⇪(⊺⇮1683∋⊺⇮2069))⩹((⊺⇮2909↓⊺⇮2685)⨥⫆(⊺⇮1531∌⊺⇮1982))⨜⨶((⊺⇮6413⊧↖)⪉⨛⊺⇮1717⪒⊣⊆⊺⇮5019)","cot":[{"info":"⊺⇮3281⇮⋭⊺⇮3457=⊺⇮-473","layer":3},{"info":"≇⪴⊺⇮1045=⊺⇮-1795","layer":3},{"info":"⊺⇮-473*⊺⇮-1795=⊺⇮849035","layer":2},{"info":"⊺⇮1683∋⊺⇮2069=⊺⇮4320812","layer":3},{"info":"⨣⨃⇪⊺⇮4320812=⊺⇮1405","layer":2},{"info":"⊺⇮849035⋓⊺⇮1405=⊺⇮0","layer":1},{"info":"⊺⇮2909↓⊺⇮2685=⊺⇮-134","layer":3},{"info":"⊺⇮1531∌⊺⇮1982=⊺⇮-1982","layer":3},{"info":"⊺⇮-134⨥⫆⊺⇮-1982=⊺⇮-1","layer":2},{"info":"⊺⇮6413⊧↖=⊺⇮246795020","layer":3},{"info":"⊺⇮1717⪒⊣⊆⊺⇮5019=⊺⇮3434","layer":3},{"info":"⊺⇮246795020⪉⨛⊺⇮3434=⊺⇮740381841","layer":2},{"info":"⊺⇮-1⨜⨶⊺⇮740381841=⊺⇮-1480763426","layer":1},{"info":"⊺⇮0⩹⊺⇮-1480763426=NaN","layer":0}]}
{"id":149,"expression_no_base_symbol":"((∥⊫$1135$)⩣⫁∢($1492$↺$2275$)≀⩗∶$2063$⊮⊟↴$2624$≝⊿($1810$∽$1913$))⫞⩸⩒(($2970$⊅)⩧⪆(⪲⇎$3111$)∈)","expression":"((∥⊫⊺⇮1135)⩣⫁∢(⊺⇮1492↺⊺⇮2275)≀⩗∶⊺⇮2063⊮⊟↴⊺⇮2624≝⊿(⊺⇮1810∽⊺⇮1913))⫞⩸⩒((⊺⇮2970⊅)⩧⪆(⪲⇎⊺⇮3111)∈)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":254,"operation_count":12,"complexity_ratio":21.166666666666668,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1135,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1492,"base":10},"right_expr":{"type":"numeric_atoms","value":2275,"base":10}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2063,"base":10},"right_expr":{"type":"numeric_atoms","value":2624,"base":10}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1810,"base":10},"right_expr":{"type":"numeric_atoms","value":1913,"base":10}}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":2970,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3111,"base":10}}}}},"used_operators":["XGcMNugi78","8INZBEW696","JDUIKTTSIa","P8v4zCKN1o","7j4O788W3g","OKKcZfAt5B","QDVgd2eftb","y4ImoPnbV5","ztP7wcbY7m","Ikt5ks8PT7","7p6YLioM7f","XPYlsWDdGa"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","12rbrZMWeM","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","eewbuw0ToL","t8gj7n24qd","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮24","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"compute unary expreesion, input=1135, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2003","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=2275, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2275","layer":3},{"info":"compute binary expreesion, left_input=2003, right_input=2275, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3845","layer":2},{"info":"number node, value=2063","layer":4},{"info":"number node, value=2624","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=2624, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1810","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=1913, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-14611","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14611, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=28689","layer":2},{"info":"compute binary expreesion, left_input=-3845, right_input=28689, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=24","layer":1},{"info":"number node, value=2970","layer":4},{"info":"compute unary expreesion, input=2970, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=3111","layer":4},{"info":"compute unary expreesion, input=3111, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6222","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=6222, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6222","layer":2},{"info":"compute unary expreesion, input=-6222, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-19337","layer":1},{"info":"compute binary expreesion, left_input=24, right_input=-19337, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=24","layer":0}],"base":10,"result_base":10,"text":"((∥⊫⊺⇮1135)⩣⫁∢(⊺⇮1492↺⊺⇮2275)≀⩗∶⊺⇮2063⊮⊟↴⊺⇮2624≝⊿(⊺⇮1810∽⊺⇮1913))⫞⩸⩒((⊺⇮2970⊅)⩧⪆(⪲⇎⊺⇮3111)∈)=⊺⇮24","reverse_text":"⊺⇮24=((∥⊫⊺⇮1135)⩣⫁∢(⊺⇮1492↺⊺⇮2275)≀⩗∶⊺⇮2063⊮⊟↴⊺⇮2624≝⊿(⊺⇮1810∽⊺⇮1913))⫞⩸⩒((⊺⇮2970⊅)⩧⪆(⪲⇎⊺⇮3111)∈)","cot":[{"info":"∥⊫⊺⇮1135=⊺⇮2003","layer":3},{"info":"⊺⇮1492↺⊺⇮2275=⊺⇮2275","layer":3},{"info":"⊺⇮2003⩣⫁∢⊺⇮2275=⊺⇮-3845","layer":2},{"info":"⊺⇮2063⊮⊟↴⊺⇮2624=⊺⇮0","layer":3},{"info":"⊺⇮1810∽⊺⇮1913=⊺⇮-14611","layer":3},{"info":"⊺⇮0≝⊿⊺⇮-14611=⊺⇮28689","layer":2},{"info":"⊺⇮-3845≀⩗∶⊺⇮28689=⊺⇮24","layer":1},{"info":"⊺⇮2970⊅=⊺⇮-174","layer":3},{"info":"⪲⇎⊺⇮3111=⊺⇮6222","layer":3},{"info":"⊺⇮-174⩧⪆⊺⇮6222=⊺⇮-6222","layer":2},{"info":"⊺⇮-6222∈=⊺⇮-19337","layer":1},{"info":"⊺⇮24⫞⩸⩒⊺⇮-19337=⊺⇮24","layer":0}]}
{"id":150,"expression_no_base_symbol":"((≋($1201$⫚↹⊑$4821$))⪇≇⋚($1536$⇴$1057$⋳⪒$2687$∊∟⩊$3270$))⪥(($5546$↹⊜$2978$)⇻⋧≁($3872$⨟⋌⩍$4562$)∣($3687$⨒$3459$)⩣⫁∢($2423$≬⇓$5369$))","expression":"((≋(⊺⇮1201⫚↹⊑⊺⇮4821))⪇≇⋚(⊺⇮1536⇴⊺⇮1057⋳⪒⊺⇮2687∊∟⩊⊺⇮3270))⪥((⊺⇮5546↹⊜⊺⇮2978)⇻⋧≁(⊺⇮3872⨟⋌⩍⊺⇮4562)∣(⊺⇮3687⨒⊺⇮3459)⩣⫁∢(⊺⇮2423≬⇓⊺⇮5369))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":173,"operation_count":14,"complexity_ratio":12.357142857142858,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1201,"base":10},"right_expr":{"type":"numeric_atoms","value":4821,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1536,"base":10},"right_expr":{"type":"numeric_atoms","value":1057,"base":10}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2687,"base":10},"right_expr":{"type":"numeric_atoms","value":3270,"base":10}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5546,"base":10},"right_expr":{"type":"numeric_atoms","value":2978,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3872,"base":10},"right_expr":{"type":"numeric_atoms","value":4562,"base":10}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3687,"base":10},"right_expr":{"type":"numeric_atoms","value":3459,"base":10}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2423,"base":10},"right_expr":{"type":"numeric_atoms","value":5369,"base":10}}}}},"used_operators":["QbnwKVWMIQ","3sJ7IOPOlU","61wBmkZwlr","dfKe02y8D2","12rbrZMWeM","4JB6nKBMSY","ddLRYrp01A","PPChnnnBFF","jCPkEVoL5K","9bazX3JMtO","rGHVDoGpnC","JDUIKTTSIa","y75s1iXyHd","jWTQ2TZYIH"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","7j4O788W3g","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Tcnh7f0tEr","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"⊺⇮4652","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1201","layer":4},{"info":"number node, value=4821","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=4821, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-447","layer":2},{"info":"number node, value=1536","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=1057, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=10944","layer":3},{"info":"number node, value=2687","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=3270, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3270","layer":3},{"info":"compute binary expreesion, left_input=10944, right_input=3270, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=18331","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=18331, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=5546","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=5546, right_input=2978, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-916","layer":3},{"info":"number node, value=3872","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=4562, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-916, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"number node, value=3687","layer":4},{"info":"number node, value=3459","layer":4},{"info":"compute binary expreesion, left_input=3687, right_input=3459, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-21750","layer":3},{"info":"number node, value=2423","layer":4},{"info":"number node, value=5369","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=5369, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-21750, right_input=-22, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=87565","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=87565, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4652","layer":0}],"base":10,"result_base":10,"text":"((≋(⊺⇮1201⫚↹⊑⊺⇮4821))⪇≇⋚(⊺⇮1536⇴⊺⇮1057⋳⪒⊺⇮2687∊∟⩊⊺⇮3270))⪥((⊺⇮5546↹⊜⊺⇮2978)⇻⋧≁(⊺⇮3872⨟⋌⩍⊺⇮4562)∣(⊺⇮3687⨒⊺⇮3459)⩣⫁∢(⊺⇮2423≬⇓⊺⇮5369))=⊺⇮4652","reverse_text":"⊺⇮4652=((≋(⊺⇮1201⫚↹⊑⊺⇮4821))⪇≇⋚(⊺⇮1536⇴⊺⇮1057⋳⪒⊺⇮2687∊∟⩊⊺⇮3270))⪥((⊺⇮5546↹⊜⊺⇮2978)⇻⋧≁(⊺⇮3872⨟⋌⩍⊺⇮4562)∣(⊺⇮3687⨒⊺⇮3459)⩣⫁∢(⊺⇮2423≬⇓⊺⇮5369))","cot":[{"info":"⊺⇮1201⫚↹⊑⊺⇮4821=⊺⇮-447","layer":3},{"info":"≋⊺⇮-447=⊺⇮-447","layer":2},{"info":"⊺⇮1536⇴⊺⇮1057=⊺⇮10944","layer":3},{"info":"⊺⇮2687∊∟⩊⊺⇮3270=⊺⇮3270","layer":3},{"info":"⊺⇮10944⋳⪒⊺⇮3270=⊺⇮18331","layer":2},{"info":"⊺⇮-447⪇≇⋚⊺⇮18331=⊺⇮0","layer":1},{"info":"⊺⇮5546↹⊜⊺⇮2978=⊺⇮-916","layer":3},{"info":"⊺⇮3872⨟⋌⩍⊺⇮4562=NaN","layer":3},{"info":"⊺⇮-916⇻⋧≁NaN=NaN","layer":2},{"info":"⊺⇮3687⨒⊺⇮3459=⊺⇮-21750","layer":3},{"info":"⊺⇮2423≬⇓⊺⇮5369=⊺⇮-22","layer":3},{"info":"⊺⇮-21750⩣⫁∢⊺⇮-22=⊺⇮87565","layer":2},{"info":"NaN∣⊺⇮87565=NaN","layer":1},{"info":"⊺⇮0⪥NaN=⊺⇮4652","layer":0}]}
{"id":151,"expression_no_base_symbol":"($4395$≳⇉$5079$)⫁($2431$∴$6696$)∙∹∝(⇈($1024$⋻⩜⩜$5394$))⪹","expression":"(⊺⇮4395≳⇉⊺⇮5079)⫁(⊺⇮2431∴⊺⇮6696)∙∹∝(⇈(⊺⇮1024⋻⩜⩜⊺⇮5394))⪹","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":361368526,"operation_count":7,"complexity_ratio":51624075.14285714,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4395,"base":10},"right_expr":{"type":"numeric_atoms","value":5079,"base":10}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2431,"base":10},"right_expr":{"type":"numeric_atoms","value":6696,"base":10}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1024,"base":10},"right_expr":{"type":"numeric_atoms","value":5394,"base":10}}}}},"used_operators":["B3sABdIn96","HmxsFra2vL","0ajvFaJAv0","V0kx6qeWkN","hrf7POJlIJ","SLLxy00UIr","oDCm7WA9JY"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","cHh1gJQ2o6","AHs5Up7iyr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⊺⇮4492","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4395","layer":4},{"info":"number node, value=5079","layer":4},{"info":"compute binary expreesion, left_input=4395, right_input=5079, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=2431","layer":4},{"info":"number node, value=6696","layer":4},{"info":"compute binary expreesion, left_input=2431, right_input=6696, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6510","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6510, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=5394","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=5394, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2048","layer":3},{"info":"compute unary expreesion, input=2048, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=4492","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4395≳⇉⊺⇮5079)⫁(⊺⇮2431∴⊺⇮6696)∙∹∝(⇈(⊺⇮1024⋻⩜⩜⊺⇮5394))⪹=⊺⇮4492","reverse_text":"⊺⇮4492=(⊺⇮4395≳⇉⊺⇮5079)⫁(⊺⇮2431∴⊺⇮6696)∙∹∝(⇈(⊺⇮1024⋻⩜⩜⊺⇮5394))⪹","cot":[{"info":"⊺⇮4395≳⇉⊺⇮5079=NaN","layer":3},{"info":"⊺⇮2431∴⊺⇮6696=⊺⇮6510","layer":3},{"info":"NaN⫁⊺⇮6510=⊺⇮160","layer":2},{"info":"⊺⇮1024⋻⩜⩜⊺⇮5394=⊺⇮2048","layer":3},{"info":"⇈⊺⇮2048=⊺⇮-447","layer":2},{"info":"⊺⇮160∙∹∝⊺⇮-447=⊺⇮0","layer":1},{"info":"⊺⇮0⪹=⊺⇮4492","layer":0}]}
{"id":152,"expression_no_base_symbol":"(≘$1428$)⪔⊥($1950$⪇≇⋚$3858$)≄⊠((⇜$3869$)∝$4040$⫘$1262$)⇴(⨛($1521$⨶)⇤(⫓⪴$7284$))","expression":"(≘⊺⇮1428)⪔⊥(⊺⇮1950⪇≇⋚⊺⇮3858)≄⊠((⇜⊺⇮3869)∝⊺⇮4040⫘⊺⇮1262)⇴(⨛(⊺⇮1521⨶)⇤(⫓⪴⊺⇮7284))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":36424433,"operation_count":12,"complexity_ratio":3035369.4166666665,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1428,"base":10}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1950,"base":10},"right_expr":{"type":"numeric_atoms","value":3858,"base":10}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":3869,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4040,"base":10},"right_expr":{"type":"numeric_atoms","value":1262,"base":10}}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1521,"base":10}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7284,"base":10}}}}},"used_operators":["4JB6nKBMSY","vXNesLlMH1","HJ9erzHUuu","tcjXMdvYtA","3sJ7IOPOlU","cTDWOvIxvz","lFBm8KRb8F","48vC8HMD2b","CoMdbyAt7R","YSKBFp38Pu","rFxw8gIMmB","eLxqMNBOBk"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","7j4O788W3g","W4YGzv6Whe","COABgblf1C","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","f6k1SAg4EE","Qy55tPpLXF","9HNa5Wba9A"],"result":"⊺⇮8614","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1428","layer":4},{"info":"compute unary expreesion, input=1428, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3149524","layer":3},{"info":"number node, value=1950","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=3858, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3149524, right_input=0, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3148725","layer":2},{"info":"number node, value=3869","layer":4},{"info":"compute unary expreesion, input=3869, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-31360","layer":3},{"info":"number node, value=4040","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=4040, right_input=1262, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4755445","layer":3},{"info":"compute binary expreesion, left_input=-31360, right_input=4755445, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-31355","layer":2},{"info":"compute binary expreesion, left_input=-3148725, right_input=-31355, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=1521","layer":4},{"info":"compute unary expreesion, input=1521, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=1296","layer":3},{"info":"number node, value=7284","layer":4},{"info":"compute unary expreesion, input=7284, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=53056656","layer":3},{"info":"compute binary expreesion, left_input=1296, right_input=53056656, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-265286912","layer":2},{"info":"compute unary expreesion, input=-265286912, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=8614","layer":0}],"base":10,"result_base":10,"text":"(≘⊺⇮1428)⪔⊥(⊺⇮1950⪇≇⋚⊺⇮3858)≄⊠((⇜⊺⇮3869)∝⊺⇮4040⫘⊺⇮1262)⇴(⨛(⊺⇮1521⨶)⇤(⫓⪴⊺⇮7284))=⊺⇮8614","reverse_text":"⊺⇮8614=(≘⊺⇮1428)⪔⊥(⊺⇮1950⪇≇⋚⊺⇮3858)≄⊠((⇜⊺⇮3869)∝⊺⇮4040⫘⊺⇮1262)⇴(⨛(⊺⇮1521⨶)⇤(⫓⪴⊺⇮7284))","cot":[{"info":"≘⊺⇮1428=⊺⇮3149524","layer":3},{"info":"⊺⇮1950⪇≇⋚⊺⇮3858=⊺⇮0","layer":3},{"info":"⊺⇮3149524⪔⊥⊺⇮0=⊺⇮-3148725","layer":2},{"info":"⇜⊺⇮3869=⊺⇮-31360","layer":3},{"info":"⊺⇮4040⫘⊺⇮1262=⊺⇮4755445","layer":3},{"info":"⊺⇮-31360∝⊺⇮4755445=⊺⇮-31355","layer":2},{"info":"⊺⇮-3148725≄⊠⊺⇮-31355=⊺⇮1500","layer":1},{"info":"⊺⇮1521⨶=⊺⇮1296","layer":3},{"info":"⫓⪴⊺⇮7284=⊺⇮53056656","layer":3},{"info":"⊺⇮1296⇤⊺⇮53056656=⊺⇮-265286912","layer":2},{"info":"⨛⊺⇮-265286912=⊺⇮0","layer":1},{"info":"⊺⇮1500⇴⊺⇮0=⊺⇮8614","layer":0}]}
{"id":153,"expression_no_base_symbol":"⫖→((⋃$1553$)⩖⊿($3872$∴≳≥))⫗⊷⫓(($1216$⊜)⋓($2776$⊎←↗))","expression":"⫖→((⋃⊺⇮1553)⩖⊿(⊺⇮3872∴≳≥))⫗⊷⫓((⊺⇮1216⊜)⋓(⊺⇮2776⊎←↗))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":87964,"operation_count":8,"complexity_ratio":10995.5,"tree":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1553,"base":10}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":3872,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1216,"base":10}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":2776,"base":10}}}}},"used_operators":["U4ylXWHChL","zashukvMKz","RZ5CV9rWsJ","3mBM5G4a3l","a3N2hFLK0J","T2fj7uvVaJ","Eev2Q7dYIw","dwb5p0fa6d"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","g55IO6H4Gj","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","sdazOOVcIp","COABgblf1C"],"result":"⊺⇮177","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1553","layer":4},{"info":"compute unary expreesion, input=1553, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3208","layer":3},{"info":"number node, value=3872","layer":4},{"info":"compute unary expreesion, input=3872, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=15488","layer":3},{"info":"compute binary expreesion, left_input=3208, right_input=15488, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=110990","layer":2},{"info":"number node, value=1216","layer":4},{"info":"compute unary expreesion, input=1216, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-3128","layer":3},{"info":"number node, value=2776","layer":4},{"info":"compute unary expreesion, input=2776, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-4867","layer":3},{"info":"compute binary expreesion, left_input=-3128, right_input=-4867, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=110990, right_input=0, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":10,"result_base":10,"text":"⫖→((⋃⊺⇮1553)⩖⊿(⊺⇮3872∴≳≥))⫗⊷⫓((⊺⇮1216⊜)⋓(⊺⇮2776⊎←↗))=⊺⇮177","reverse_text":"⊺⇮177=⫖→((⋃⊺⇮1553)⩖⊿(⊺⇮3872∴≳≥))⫗⊷⫓((⊺⇮1216⊜)⋓(⊺⇮2776⊎←↗))","cot":[{"info":"⋃⊺⇮1553=⊺⇮3208","layer":3},{"info":"⊺⇮3872∴≳≥=⊺⇮15488","layer":3},{"info":"⊺⇮3208⩖⊿⊺⇮15488=⊺⇮110990","layer":2},{"info":"⊺⇮1216⊜=⊺⇮-3128","layer":3},{"info":"⊺⇮2776⊎←↗=⊺⇮-4867","layer":3},{"info":"⊺⇮-3128⋓⊺⇮-4867=⊺⇮0","layer":2},{"info":"⊺⇮110990⫗⊷⫓⊺⇮0=⊺⇮-134","layer":1},{"info":"⫖→⊺⇮-134=⊺⇮177","layer":0}]}
{"id":154,"expression_no_base_symbol":"($2320$⩷∴$2269$)⋕⪉⪜($3004$⩢≌)≀⩗∶($3864$⋻⩜⩜$7289$)∓⋝$2228$⨜⨶$2689$⫔⩽⩺(↨($3896$⫔⩽⩺$2083$)⫲≸⪮($5573$⩧⪆$1563$))","expression":"(⊺⇮2320⩷∴⊺⇮2269)⋕⪉⪜(⊺⇮3004⩢≌)≀⩗∶(⊺⇮3864⋻⩜⩜⊺⇮7289)∓⋝⊺⇮2228⨜⨶⊺⇮2689⫔⩽⩺(↨(⊺⇮3896⫔⩽⩺⊺⇮2083)⫲≸⪮(⊺⇮5573⩧⪆⊺⇮1563))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":102603,"operation_count":12,"complexity_ratio":8550.25,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2320,"base":10},"right_expr":{"type":"numeric_atoms","value":2269,"base":10}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":3004,"base":10}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3864,"base":10},"right_expr":{"type":"numeric_atoms","value":7289,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2228,"base":10},"right_expr":{"type":"numeric_atoms","value":2689,"base":10}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3896,"base":10},"right_expr":{"type":"numeric_atoms","value":2083,"base":10}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":5573,"base":10},"right_expr":{"type":"numeric_atoms","value":1563,"base":10}}}}},"used_operators":["i9eR4S00cU","8INZBEW696","z6LnFrNh4i","9FxExcQeMw","D617RFjZIq","PoHhknlbAi","oDCm7WA9JY","HiPekx5b7W","jiX4gk2v2Q","P3lXMJvFrc","Ikt5ks8PT7"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","hTbEZDJLEm","o20kRiQErp","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","oZj3VtZNQx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2320","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=2320, right_input=2269, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=70","layer":3},{"info":"number node, value=3004","layer":4},{"info":"compute unary expreesion, input=3004, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=70, right_input=113, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=3864","layer":4},{"info":"number node, value=7289","layer":4},{"info":"compute binary expreesion, left_input=3864, right_input=7289, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7728","layer":3},{"info":"number node, value=2228","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=2689, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5122","layer":3},{"info":"compute binary expreesion, left_input=7728, right_input=-5122, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=67, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"number node, value=3896","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=3896, right_input=2083, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=5573","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=5573, right_input=1563, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1563","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1563, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2320⩷∴⊺⇮2269)⋕⪉⪜(⊺⇮3004⩢≌)≀⩗∶(⊺⇮3864⋻⩜⩜⊺⇮7289)∓⋝⊺⇮2228⨜⨶⊺⇮2689⫔⩽⩺(↨(⊺⇮3896⫔⩽⩺⊺⇮2083)⫲≸⪮(⊺⇮5573⩧⪆⊺⇮1563))=NaN","reverse_text":"NaN=(⊺⇮2320⩷∴⊺⇮2269)⋕⪉⪜(⊺⇮3004⩢≌)≀⩗∶(⊺⇮3864⋻⩜⩜⊺⇮7289)∓⋝⊺⇮2228⨜⨶⊺⇮2689⫔⩽⩺(↨(⊺⇮3896⫔⩽⩺⊺⇮2083)⫲≸⪮(⊺⇮5573⩧⪆⊺⇮1563))","cot":[{"info":"⊺⇮2320⩷∴⊺⇮2269=⊺⇮70","layer":3},{"info":"⊺⇮3004⩢≌=⊺⇮113","layer":3},{"info":"⊺⇮70⋕⪉⪜⊺⇮113=⊺⇮2802","layer":2},{"info":"⊺⇮3864⋻⩜⩜⊺⇮7289=⊺⇮7728","layer":3},{"info":"⊺⇮2228⨜⨶⊺⇮2689=⊺⇮-5122","layer":3},{"info":"⊺⇮7728∓⋝⊺⇮-5122=⊺⇮67","layer":2},{"info":"⊺⇮2802≀⩗∶⊺⇮67=⊺⇮0","layer":1},{"info":"⊺⇮3896⫔⩽⩺⊺⇮2083=NaN","layer":3},{"info":"⊺⇮5573⩧⪆⊺⇮1563=⊺⇮-1563","layer":3},{"info":"NaN⫲≸⪮⊺⇮-1563=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"⊺⇮0⫔⩽⩺NaN=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"((⨭⩧⫛$1101$)⨽∌(⇋↷$6505$)⪭≯($1250$⨻⩈⩔$1994$)⫣⪄⊒(⇠$4964$))⋛(($1555$⋝⋈⪟$1929$∖$3386$⨥⫆$1658$)⋘⨑⨽)","expression":"((⨭⩧⫛⊺⇮1101)⨽∌(⇋↷⊺⇮6505)⪭≯(⊺⇮1250⨻⩈⩔⊺⇮1994)⫣⪄⊒(⇠⊺⇮4964))⋛((⊺⇮1555⋝⋈⪟⊺⇮1929∖⊺⇮3386⨥⫆⊺⇮1658)⋘⨑⨽)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1173,"operation_count":12,"complexity_ratio":97.75,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1101,"base":10}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":6505,"base":10}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1250,"base":10},"right_expr":{"type":"numeric_atoms","value":1994,"base":10}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":4964,"base":10}}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1555,"base":10},"right_expr":{"type":"numeric_atoms","value":1929,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3386,"base":10},"right_expr":{"type":"numeric_atoms","value":1658,"base":10}}}}},"used_operators":["YbUVn0Rbpy","XAx5wpdLa6","9samAPKr6k","g21JL6JxX7","SWo3A1KBJH","RabNbG55vr","nEsXyWgiOK","18saOjeKKm","WmT3o8z6ya","tXD093vOjl","2DDjHMKMc0","yXekIHxTD4"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=6505","layer":4},{"info":"compute unary expreesion, input=6505, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=52040","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=52040, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=1250","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=1994, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=4964","layer":4},{"info":"compute unary expreesion, input=4964, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-4722","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=-4722, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=1555","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=1929, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1555","layer":3},{"info":"number node, value=3386","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=3386, right_input=1658, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3192","layer":3},{"info":"compute binary expreesion, left_input=1555, right_input=3192, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=783","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=783, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨭⩧⫛⊺⇮1101)⨽∌(⇋↷⊺⇮6505)⪭≯(⊺⇮1250⨻⩈⩔⊺⇮1994)⫣⪄⊒(⇠⊺⇮4964))⋛((⊺⇮1555⋝⋈⪟⊺⇮1929∖⊺⇮3386⨥⫆⊺⇮1658)⋘⨑⨽)=NaN","reverse_text":"NaN=((⨭⩧⫛⊺⇮1101)⨽∌(⇋↷⊺⇮6505)⪭≯(⊺⇮1250⨻⩈⩔⊺⇮1994)⫣⪄⊒(⇠⊺⇮4964))⋛((⊺⇮1555⋝⋈⪟⊺⇮1929∖⊺⇮3386⨥⫆⊺⇮1658)⋘⨑⨽)","cot":[{"info":"⨭⩧⫛⊺⇮1101=NaN","layer":3},{"info":"⇋↷⊺⇮6505=⊺⇮52040","layer":3},{"info":"NaN⨽∌⊺⇮52040=⊺⇮0","layer":2},{"info":"⊺⇮1250⨻⩈⩔⊺⇮1994=⊺⇮-174","layer":3},{"info":"⇠⊺⇮4964=⊺⇮-4722","layer":3},{"info":"⊺⇮-174⫣⪄⊒⊺⇮-4722=⊺⇮160","layer":2},{"info":"⊺⇮0⪭≯⊺⇮160=NaN","layer":1},{"info":"⊺⇮1555⋝⋈⪟⊺⇮1929=⊺⇮1555","layer":3},{"info":"⊺⇮3386⨥⫆⊺⇮1658=⊺⇮3192","layer":3},{"info":"⊺⇮1555∖⊺⇮3192=⊺⇮0","layer":2},{"info":"⊺⇮0⋘⨑⨽=⊺⇮783","layer":1},{"info":"NaN⋛⊺⇮783=NaN","layer":0}]}
{"id":156,"expression_no_base_symbol":"⪝⪂⫅(($2442$∽$5294$)∀⇚≩($6703$≀⩗∶$4895$))≎⪠(($5295$⪇≇⋚$1104$)≄⊠($3006$%$4863$))","expression":"⪝⪂⫅((⊺⇮2442∽⊺⇮5294)∀⇚≩(⊺⇮6703≀⩗∶⊺⇮4895))≎⪠((⊺⇮5295⪇≇⋚⊺⇮1104)≄⊠(⊺⇮3006%⊺⇮4863))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":214745,"operation_count":8,"complexity_ratio":26843.125,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2442,"base":10},"right_expr":{"type":"numeric_atoms","value":5294,"base":10}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":6703,"base":10},"right_expr":{"type":"numeric_atoms","value":4895,"base":10}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5295,"base":10},"right_expr":{"type":"numeric_atoms","value":1104,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3006,"base":10},"right_expr":{"type":"numeric_atoms","value":4863,"base":10}}}}},"used_operators":["XTarYq4gQB","aNhz54LH3e","LRNGc0VcxI","y4ImoPnbV5","8INZBEW696","vXNesLlMH1","3sJ7IOPOlU","k8jYdgA6NY"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","X99M06cbEe","NTOWxs364D","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z"],"result":"⊺⇮-2875026","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2442","layer":4},{"info":"number node, value=5294","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=5294, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-27914","layer":3},{"info":"number node, value=6703","layer":4},{"info":"number node, value=4895","layer":4},{"info":"compute binary expreesion, left_input=6703, right_input=4895, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-27914, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5295","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=5295, right_input=1104, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=3006","layer":4},{"info":"number node, value=4863","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=4863, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3006","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3006, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=52764","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=52764, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute unary expreesion, input=19558, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-2875026","layer":0}],"base":10,"result_base":10,"text":"⪝⪂⫅((⊺⇮2442∽⊺⇮5294)∀⇚≩(⊺⇮6703≀⩗∶⊺⇮4895))≎⪠((⊺⇮5295⪇≇⋚⊺⇮1104)≄⊠(⊺⇮3006%⊺⇮4863))=⊺⇮-2875026","reverse_text":"⊺⇮-2875026=⪝⪂⫅((⊺⇮2442∽⊺⇮5294)∀⇚≩(⊺⇮6703≀⩗∶⊺⇮4895))≎⪠((⊺⇮5295⪇≇⋚⊺⇮1104)≄⊠(⊺⇮3006%⊺⇮4863))","cot":[{"info":"⊺⇮2442∽⊺⇮5294=⊺⇮-27914","layer":3},{"info":"⊺⇮6703≀⩗∶⊺⇮4895=⊺⇮0","layer":3},{"info":"⊺⇮-27914∀⇚≩⊺⇮0=NaN","layer":2},{"info":"⊺⇮5295⪇≇⋚⊺⇮1104=⊺⇮0","layer":3},{"info":"⊺⇮3006%⊺⇮4863=⊺⇮3006","layer":3},{"info":"⊺⇮0≄⊠⊺⇮3006=⊺⇮52764","layer":2},{"info":"NaN≎⪠⊺⇮52764=⊺⇮19558","layer":1},{"info":"⪝⪂⫅⊺⇮19558=⊺⇮-2875026","layer":0}]}
{"id":157,"expression_no_base_symbol":"($2525$∥⊢⊲$4558$⋻⩜⩜$5673$⋣⋖$3860$)↳∿⪆($2109$∇⊂⋱$1276$⩘$4839$⊕∕$2305$)↱$4030$⪘⫢$1119$⫢⨠($3142$⩺⋐⫨)⫰⋱(⨰⫟⨤$4543$)∋($4747$≧⫂∧$5704$)","expression":"(⊺⇮2525∥⊢⊲⊺⇮4558⋻⩜⩜⊺⇮5673⋣⋖⊺⇮3860)↳∿⪆(⊺⇮2109∇⊂⋱⊺⇮1276⩘⊺⇮4839⊕∕⊺⇮2305)↱⊺⇮4030⪘⫢⊺⇮1119⫢⨠(⊺⇮3142⩺⋐⫨)⫰⋱(⨰⫟⨤⊺⇮4543)∋(⊺⇮4747≧⫂∧⊺⇮5704)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":100051,"operation_count":15,"complexity_ratio":6670.066666666667,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2525,"base":10},"right_expr":{"type":"numeric_atoms","value":4558,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":5673,"base":10},"right_expr":{"type":"numeric_atoms","value":3860,"base":10}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2109,"base":10},"right_expr":{"type":"numeric_atoms","value":1276,"base":10}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4839,"base":10},"right_expr":{"type":"numeric_atoms","value":2305,"base":10}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4030,"base":10},"right_expr":{"type":"numeric_atoms","value":1119,"base":10}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":3142,"base":10}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4543,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4747,"base":10},"right_expr":{"type":"numeric_atoms","value":5704,"base":10}}}}},"used_operators":["SR5kFfdi6N","Cw4SuJJGHO","oDCm7WA9JY","v1UQAVDJRr","J0M6qkBnIM","cHh1gJQ2o6","nhYeJWJD5X","9cloC0Ngie","6o9Blt3TJ6","xlXykHWxX1","oacrs7FA3X","yS9ePUuUdn","ukq6epAj5P","Tw270M8GLb","Ph9nP6C5qx"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","EBcxylXtPf","rGHVDoGpnC","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2525","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=2525, right_input=4558, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=5673","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=5673, right_input=3860, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5673","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5673, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=2109","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=1276, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3672","layer":3},{"info":"number node, value=4839","layer":4},{"info":"number node, value=2305","layer":4},{"info":"compute binary expreesion, left_input=4839, right_input=2305, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4839","layer":3},{"info":"compute binary expreesion, left_input=3672, right_input=4839, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=4030","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=4030, right_input=1119, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7936","layer":3},{"info":"number node, value=3142","layer":4},{"info":"compute unary expreesion, input=3142, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7936, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=4543","layer":4},{"info":"compute unary expreesion, input=4543, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4747","layer":4},{"info":"number node, value=5704","layer":4},{"info":"compute binary expreesion, left_input=4747, right_input=5704, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5231","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5231, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2525∥⊢⊲⊺⇮4558⋻⩜⩜⊺⇮5673⋣⋖⊺⇮3860)↳∿⪆(⊺⇮2109∇⊂⋱⊺⇮1276⩘⊺⇮4839⊕∕⊺⇮2305)↱⊺⇮4030⪘⫢⊺⇮1119⫢⨠(⊺⇮3142⩺⋐⫨)⫰⋱(⨰⫟⨤⊺⇮4543)∋(⊺⇮4747≧⫂∧⊺⇮5704)=NaN","reverse_text":"NaN=(⊺⇮2525∥⊢⊲⊺⇮4558⋻⩜⩜⊺⇮5673⋣⋖⊺⇮3860)↳∿⪆(⊺⇮2109∇⊂⋱⊺⇮1276⩘⊺⇮4839⊕∕⊺⇮2305)↱⊺⇮4030⪘⫢⊺⇮1119⫢⨠(⊺⇮3142⩺⋐⫨)⫰⋱(⨰⫟⨤⊺⇮4543)∋(⊺⇮4747≧⫂∧⊺⇮5704)","cot":[{"info":"⊺⇮2525∥⊢⊲⊺⇮4558=NaN","layer":3},{"info":"⊺⇮5673⋣⋖⊺⇮3860=⊺⇮5673","layer":3},{"info":"NaN⋻⩜⩜⊺⇮5673=NaN","layer":2},{"info":"⊺⇮2109∇⊂⋱⊺⇮1276=⊺⇮3672","layer":3},{"info":"⊺⇮4839⊕∕⊺⇮2305=⊺⇮4839","layer":3},{"info":"⊺⇮3672⩘⊺⇮4839=⊺⇮160","layer":2},{"info":"NaN↳∿⪆⊺⇮160=NaN","layer":1},{"info":"⊺⇮4030⪘⫢⊺⇮1119=⊺⇮7936","layer":3},{"info":"⊺⇮3142⩺⋐⫨=⊺⇮0","layer":3},{"info":"⊺⇮7936⫢⨠⊺⇮0=NaN","layer":2},{"info":"⨰⫟⨤⊺⇮4543=NaN","layer":3},{"info":"⊺⇮4747≧⫂∧⊺⇮5704=⊺⇮5231","layer":3},{"info":"NaN∋⊺⇮5231=NaN","layer":2},{"info":"NaN⫰⋱NaN=NaN","layer":1},{"info":"NaN↱NaN=NaN","layer":0}]}
{"id":158,"expression_no_base_symbol":"≅≯⇸($2890$⫸⇳$6324$)⇻⋧≁($3202$≃$3832$)≄⊠(($2597$⊾⪯⋞$5426$)⫠)","expression":"≅≯⇸(⊺⇮2890⫸⇳⊺⇮6324)⇻⋧≁(⊺⇮3202≃⊺⇮3832)≄⊠((⊺⇮2597⊾⪯⋞⊺⇮5426)⫠)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":146202,"operation_count":7,"complexity_ratio":20886.0,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2890,"base":10},"right_expr":{"type":"numeric_atoms","value":6324,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3202,"base":10},"right_expr":{"type":"numeric_atoms","value":3832,"base":10}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2597,"base":10},"right_expr":{"type":"numeric_atoms","value":5426,"base":10}}}}},"used_operators":["apS25hmuAe","vXNesLlMH1","jCPkEVoL5K","gx7XJ7hdpj","YbVcJGFEVW","6SnOT2rOjz","HK0tfVPux8"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⊺⇮13677","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2890","layer":4},{"info":"number node, value=6324","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=6324, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=3202","layer":4},{"info":"number node, value=3832","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=3832, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-12848","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12848, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=2597","layer":4},{"info":"number node, value=5426","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=5426, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=10426","layer":3},{"info":"compute unary expreesion, input=10426, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute unary expreesion, input=1500, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=13677","layer":0}],"base":10,"result_base":10,"text":"≅≯⇸(⊺⇮2890⫸⇳⊺⇮6324)⇻⋧≁(⊺⇮3202≃⊺⇮3832)≄⊠((⊺⇮2597⊾⪯⋞⊺⇮5426)⫠)=⊺⇮13677","reverse_text":"⊺⇮13677=≅≯⇸(⊺⇮2890⫸⇳⊺⇮6324)⇻⋧≁(⊺⇮3202≃⊺⇮3832)≄⊠((⊺⇮2597⊾⪯⋞⊺⇮5426)⫠)","cot":[{"info":"⊺⇮2890⫸⇳⊺⇮6324=⊺⇮0","layer":3},{"info":"⊺⇮3202≃⊺⇮3832=⊺⇮-12848","layer":3},{"info":"⊺⇮0⇻⋧≁⊺⇮-12848=⊺⇮-447","layer":2},{"info":"⊺⇮2597⊾⪯⋞⊺⇮5426=⊺⇮10426","layer":3},{"info":"⊺⇮10426⫠=⊺⇮0","layer":2},{"info":"⊺⇮-447≄⊠⊺⇮0=⊺⇮1500","layer":1},{"info":"≅≯⇸⊺⇮1500=⊺⇮13677","layer":0}]}
{"id":159,"expression_no_base_symbol":"((⩷⨜⫀$1934$)⩇∃⫛$1020$⨥⫆$3868$)⪝(($6192$⊹∫⫚$5286$)⨑⩅≇($5604$∴$3191$))⪒⊣⊆(≱⇩⩕($1857$≭$6568$∪⫐$2388$⪨⊡$1057$))","expression":"((⩷⨜⫀⊺⇮1934)⩇∃⫛⊺⇮1020⨥⫆⊺⇮3868)⪝((⊺⇮6192⊹∫⫚⊺⇮5286)⨑⩅≇(⊺⇮5604∴⊺⇮3191))⪒⊣⊆(≱⇩⩕(⊺⇮1857≭⊺⇮6568∪⫐⊺⇮2388⪨⊡⊺⇮1057))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":676,"operation_count":12,"complexity_ratio":56.333333333333336,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1934,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1020,"base":10},"right_expr":{"type":"numeric_atoms","value":3868,"base":10}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6192,"base":10},"right_expr":{"type":"numeric_atoms","value":5286,"base":10}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":5604,"base":10},"right_expr":{"type":"numeric_atoms","value":3191,"base":10}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1857,"base":10},"right_expr":{"type":"numeric_atoms","value":6568,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2388,"base":10},"right_expr":{"type":"numeric_atoms","value":1057,"base":10}}}}},"used_operators":["eRqsBgTDFp","wicAB68Tmb","1aApVXNlOP","CDi0ktkjQ4","yXekIHxTD4","h92wMvzauj","uWAJUKEvyW","hrf7POJlIJ","3DZMoQKiUl","7YooWSwCyH","rxpJgHHUmx","kuIXHzHcAH"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","ruOEQAzv1W","nhYeJWJD5X","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rJVOvQCfKK","2DDjHMKMc0","AHs5Up7iyr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⊺⇮474","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1661","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3868, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=7612","layer":3},{"info":"compute binary expreesion, left_input=-1661, right_input=7612, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-1661","layer":2},{"info":"number node, value=6192","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=6192, right_input=5286, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-240","layer":3},{"info":"number node, value=5604","layer":4},{"info":"number node, value=3191","layer":4},{"info":"compute binary expreesion, left_input=5604, right_input=3191, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=12856","layer":3},{"info":"compute binary expreesion, left_input=-240, right_input=12856, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=5608","layer":2},{"info":"compute binary expreesion, left_input=-1661, right_input=5608, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=1857","layer":4},{"info":"number node, value=6568","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=6568, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2388","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=2388, right_input=1057, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=237, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=474","layer":0}],"base":10,"result_base":10,"text":"((⩷⨜⫀⊺⇮1934)⩇∃⫛⊺⇮1020⨥⫆⊺⇮3868)⪝((⊺⇮6192⊹∫⫚⊺⇮5286)⨑⩅≇(⊺⇮5604∴⊺⇮3191))⪒⊣⊆(≱⇩⩕(⊺⇮1857≭⊺⇮6568∪⫐⊺⇮2388⪨⊡⊺⇮1057))=⊺⇮474","reverse_text":"⊺⇮474=((⩷⨜⫀⊺⇮1934)⩇∃⫛⊺⇮1020⨥⫆⊺⇮3868)⪝((⊺⇮6192⊹∫⫚⊺⇮5286)⨑⩅≇(⊺⇮5604∴⊺⇮3191))⪒⊣⊆(≱⇩⩕(⊺⇮1857≭⊺⇮6568∪⫐⊺⇮2388⪨⊡⊺⇮1057))","cot":[{"info":"⩷⨜⫀⊺⇮1934=⊺⇮-1661","layer":3},{"info":"⊺⇮1020⨥⫆⊺⇮3868=⊺⇮7612","layer":3},{"info":"⊺⇮-1661⩇∃⫛⊺⇮7612=⊺⇮-1661","layer":2},{"info":"⊺⇮6192⊹∫⫚⊺⇮5286=⊺⇮-240","layer":3},{"info":"⊺⇮5604∴⊺⇮3191=⊺⇮12856","layer":3},{"info":"⊺⇮-240⨑⩅≇⊺⇮12856=⊺⇮5608","layer":2},{"info":"⊺⇮-1661⪝⊺⇮5608=⊺⇮237","layer":1},{"info":"⊺⇮1857≭⊺⇮6568=NaN","layer":3},{"info":"⊺⇮2388⪨⊡⊺⇮1057=⊺⇮0","layer":3},{"info":"NaN∪⫐⊺⇮0=NaN","layer":2},{"info":"≱⇩⩕NaN=NaN","layer":1},{"info":"⊺⇮237⪒⊣⊆NaN=⊺⇮474","layer":0}]}
{"id":160,"expression_no_base_symbol":"(⨦⪝((⨈⫕$1468$)-$2245$⪨⊡$2699$))⊍","expression":"(⨦⪝((⨈⫕⊺⇮1468)-⊺⇮2245⪨⊡⊺⇮2699))⊍","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":950,"operation_count":5,"complexity_ratio":190.0,"tree":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1468,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2245,"base":10},"right_expr":{"type":"numeric_atoms","value":2699,"base":10}}}}},"used_operators":["3nqY3DE9mg","SUjycxNXIR","rysDP5nf3Z","megm06wKyl","kuIXHzHcAH"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⊺⇮-15393","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=2245","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=2699, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"compute unary expreesion, input=-1884, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-15393","layer":0}],"base":10,"result_base":10,"text":"(⨦⪝((⨈⫕⊺⇮1468)-⊺⇮2245⪨⊡⊺⇮2699))⊍=⊺⇮-15393","reverse_text":"⊺⇮-15393=(⨦⪝((⨈⫕⊺⇮1468)-⊺⇮2245⪨⊡⊺⇮2699))⊍","cot":[{"info":"⨈⫕⊺⇮1468=⊺⇮-21","layer":3},{"info":"⊺⇮2245⪨⊡⊺⇮2699=⊺⇮0","layer":3},{"info":"⊺⇮-21-⊺⇮0=⊺⇮-21","layer":2},{"info":"⨦⪝⊺⇮-21=⊺⇮-1884","layer":1},{"info":"⊺⇮-1884⊍=⊺⇮-15393","layer":0}]}
{"id":161,"expression_no_base_symbol":"(⩷⨜⫀($2271$⊉↱≁$1217$≣⋋))⪨≂($3941$⋝⋈⪟$3330$⪉⨛$1438$⊲⩕⊾$1095$)⇄($1687$⪭$1153$⫚⫇)","expression":"(⩷⨜⫀(⊺⇮2271⊉↱≁⊺⇮1217≣⋋))⪨≂(⊺⇮3941⋝⋈⪟⊺⇮3330⪉⨛⊺⇮1438⊲⩕⊾⊺⇮1095)⇄(⊺⇮1687⪭⊺⇮1153⫚⫇)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":618,"operation_count":10,"complexity_ratio":61.8,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2271,"base":10},"right_expr":{"type":"numeric_atoms","value":1217,"base":10}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3941,"base":10},"right_expr":{"type":"numeric_atoms","value":3330,"base":10}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1438,"base":10},"right_expr":{"type":"numeric_atoms","value":1095,"base":10}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1687,"base":10},"right_expr":{"type":"numeric_atoms","value":1153,"base":10}}}}},"used_operators":["sdazOOVcIp","CDi0ktkjQ4","Tcnh7f0tEr","w2P8NbNXyL","3EYGwJThht","EWw2JM7wp4","2DDjHMKMc0","DmTXOeWf9t","SdCjLnB6rR","j9kHMeSvPp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","COABgblf1C","xUOZtlo3hN"],"result":"⊺⇮-1430","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2271","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=1217, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=15356","layer":3},{"info":"compute unary expreesion, input=15356, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"number node, value=3941","layer":4},{"info":"number node, value=3330","layer":4},{"info":"compute binary expreesion, left_input=3941, right_input=3330, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3941","layer":3},{"info":"number node, value=1438","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=1095, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-30588","layer":3},{"info":"compute binary expreesion, left_input=3941, right_input=-30588, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=42626","layer":2},{"info":"number node, value=1687","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=1153, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1458","layer":2},{"info":"compute binary expreesion, left_input=42626, right_input=-1458, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-766, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1430","layer":0}],"base":10,"result_base":10,"text":"(⩷⨜⫀(⊺⇮2271⊉↱≁⊺⇮1217≣⋋))⪨≂(⊺⇮3941⋝⋈⪟⊺⇮3330⪉⨛⊺⇮1438⊲⩕⊾⊺⇮1095)⇄(⊺⇮1687⪭⊺⇮1153⫚⫇)=⊺⇮-1430","reverse_text":"⊺⇮-1430=(⩷⨜⫀(⊺⇮2271⊉↱≁⊺⇮1217≣⋋))⪨≂(⊺⇮3941⋝⋈⪟⊺⇮3330⪉⨛⊺⇮1438⊲⩕⊾⊺⇮1095)⇄(⊺⇮1687⪭⊺⇮1153⫚⫇)","cot":[{"info":"⊺⇮2271⊉↱≁⊺⇮1217=⊺⇮15356","layer":3},{"info":"⊺⇮15356≣⋋=⊺⇮0","layer":2},{"info":"⩷⨜⫀⊺⇮0=⊺⇮-766","layer":1},{"info":"⊺⇮3941⋝⋈⪟⊺⇮3330=⊺⇮3941","layer":3},{"info":"⊺⇮1438⊲⩕⊾⊺⇮1095=⊺⇮-30588","layer":3},{"info":"⊺⇮3941⪉⨛⊺⇮-30588=⊺⇮42626","layer":2},{"info":"⊺⇮1687⪭⊺⇮1153=⊺⇮5","layer":3},{"info":"⊺⇮5⫚⫇=⊺⇮-1458","layer":2},{"info":"⊺⇮42626⇄⊺⇮-1458=⊺⇮0","layer":1},{"info":"⊺⇮-766⪨≂⊺⇮0=⊺⇮-1430","layer":0}]}
{"id":162,"expression_no_base_symbol":"(≱⇩⩕$1357$⪥$4787$⫸⇳($3080$⪁$2679$))⊹∫⫚(($5832$⪥$4261$⨹)∲⫓$5093$≎⪠$5817$⫉⨲⊜($5759$⇄$4511$))","expression":"(≱⇩⩕⊺⇮1357⪥⊺⇮4787⫸⇳(⊺⇮3080⪁⊺⇮2679))⊹∫⫚((⊺⇮5832⪥⊺⇮4261⨹)∲⫓⊺⇮5093≎⪠⊺⇮5817⫉⨲⊜(⊺⇮5759⇄⊺⇮4511))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":67928191,"operation_count":11,"complexity_ratio":6175290.090909091,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1357,"base":10},"right_expr":{"type":"numeric_atoms","value":4787,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3080,"base":10},"right_expr":{"type":"numeric_atoms","value":2679,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5832,"base":10},"right_expr":{"type":"numeric_atoms","value":4261,"base":10}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5093,"base":10},"right_expr":{"type":"numeric_atoms","value":5817,"base":10}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5759,"base":10},"right_expr":{"type":"numeric_atoms","value":4511,"base":10}}}}},"used_operators":["uWAJUKEvyW","3DZMoQKiUl","gx7XJ7hdpj","QbnwKVWMIQ","I7sXao9hZE","i8ToyICDmI","UnCoSGIALn","WhqkvtTD3t","aNhz54LH3e","3EYGwJThht"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","eewbuw0ToL","zVYPLywUTj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⊺⇮-296","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1357","layer":4},{"info":"number node, value=4787","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=4787, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10080","layer":3},{"info":"number node, value=3080","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=3080, right_input=2679, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10080, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"number node, value=5832","layer":4},{"info":"number node, value=4261","layer":4},{"info":"compute binary expreesion, left_input=5832, right_input=4261, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=27980","layer":3},{"info":"compute unary expreesion, input=27980, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=55960","layer":2},{"info":"number node, value=5093","layer":4},{"info":"number node, value=5817","layer":4},{"info":"compute binary expreesion, left_input=5093, right_input=5817, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=5759","layer":4},{"info":"number node, value=4511","layer":4},{"info":"compute binary expreesion, left_input=5759, right_input=4511, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-110","layer":2},{"info":"compute binary expreesion, left_input=55960, right_input=-110, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=55960","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=55960, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-296","layer":0}],"base":10,"result_base":10,"text":"(≱⇩⩕⊺⇮1357⪥⊺⇮4787⫸⇳(⊺⇮3080⪁⊺⇮2679))⊹∫⫚((⊺⇮5832⪥⊺⇮4261⨹)∲⫓⊺⇮5093≎⪠⊺⇮5817⫉⨲⊜(⊺⇮5759⇄⊺⇮4511))=⊺⇮-296","reverse_text":"⊺⇮-296=(≱⇩⩕⊺⇮1357⪥⊺⇮4787⫸⇳(⊺⇮3080⪁⊺⇮2679))⊹∫⫚((⊺⇮5832⪥⊺⇮4261⨹)∲⫓⊺⇮5093≎⪠⊺⇮5817⫉⨲⊜(⊺⇮5759⇄⊺⇮4511))","cot":[{"info":"⊺⇮1357⪥⊺⇮4787=⊺⇮10080","layer":3},{"info":"⊺⇮3080⪁⊺⇮2679=NaN","layer":3},{"info":"⊺⇮10080⫸⇳NaN=⊺⇮0","layer":2},{"info":"≱⇩⩕⊺⇮0=⊺⇮113","layer":1},{"info":"⊺⇮5832⪥⊺⇮4261=⊺⇮27980","layer":3},{"info":"⊺⇮27980⨹=⊺⇮55960","layer":2},{"info":"⊺⇮5093≎⪠⊺⇮5817=⊺⇮19558","layer":3},{"info":"⊺⇮5759⇄⊺⇮4511=⊺⇮0","layer":3},{"info":"⊺⇮19558⫉⨲⊜⊺⇮0=⊺⇮-110","layer":2},{"info":"⊺⇮55960∲⫓⊺⇮-110=⊺⇮55960","layer":1},{"info":"⊺⇮113⊹∫⫚⊺⇮55960=⊺⇮-296","layer":0}]}
{"id":163,"expression_no_base_symbol":"∂(($2908$⋷$1982$)∌($6381$⋷$1758$)⪡($6188$⫘$3501$)⨼⩣($2828$↺$1013$))","expression":"∂((⊺⇮2908⋷⊺⇮1982)∌(⊺⇮6381⋷⊺⇮1758)⪡(⊺⇮6188⫘⊺⇮3501)⨼⩣(⊺⇮2828↺⊺⇮1013))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":31900,"operation_count":8,"complexity_ratio":3987.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2908,"base":10},"right_expr":{"type":"numeric_atoms","value":1982,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6381,"base":10},"right_expr":{"type":"numeric_atoms","value":1758,"base":10}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":6188,"base":10},"right_expr":{"type":"numeric_atoms","value":3501,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2828,"base":10},"right_expr":{"type":"numeric_atoms","value":1013,"base":10}}}}},"used_operators":["Uaa54Peajs","oraRL2iQuh","8cLx32lpNA","23Mk6UjR3U","JxwMv5le6e","48vC8HMD2b","7j4O788W3g"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2908","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=1982, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1056","layer":3},{"info":"number node, value=6381","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=6381, right_input=1758, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2865","layer":3},{"info":"compute binary expreesion, left_input=1056, right_input=-2865, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=2865","layer":2},{"info":"number node, value=6188","layer":4},{"info":"number node, value=3501","layer":4},{"info":"compute binary expreesion, left_input=6188, right_input=3501, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7281493","layer":3},{"info":"number node, value=2828","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=2828, right_input=1013, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1013","layer":3},{"info":"compute binary expreesion, left_input=7281493, right_input=1013, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2865, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∂((⊺⇮2908⋷⊺⇮1982)∌(⊺⇮6381⋷⊺⇮1758)⪡(⊺⇮6188⫘⊺⇮3501)⨼⩣(⊺⇮2828↺⊺⇮1013))=NaN","reverse_text":"NaN=∂((⊺⇮2908⋷⊺⇮1982)∌(⊺⇮6381⋷⊺⇮1758)⪡(⊺⇮6188⫘⊺⇮3501)⨼⩣(⊺⇮2828↺⊺⇮1013))","cot":[{"info":"⊺⇮2908⋷⊺⇮1982=⊺⇮1056","layer":3},{"info":"⊺⇮6381⋷⊺⇮1758=⊺⇮-2865","layer":3},{"info":"⊺⇮1056∌⊺⇮-2865=⊺⇮2865","layer":2},{"info":"⊺⇮6188⫘⊺⇮3501=⊺⇮7281493","layer":3},{"info":"⊺⇮2828↺⊺⇮1013=⊺⇮1013","layer":3},{"info":"⊺⇮7281493⨼⩣⊺⇮1013=NaN","layer":2},{"info":"⊺⇮2865⪡NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":164,"expression_no_base_symbol":"≤/($3823$⨼⩣$1848$⩇∃⫛($5562$⨽⪊≇))⫉⨲⊜(($1854$⪉⨛$1320$)⪔($3225$⪄$5248$))","expression":"≤/(⊺⇮3823⨼⩣⊺⇮1848⩇∃⫛(⊺⇮5562⨽⪊≇))⫉⨲⊜((⊺⇮1854⪉⨛⊺⇮1320)⪔(⊺⇮3225⪄⊺⇮5248))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":495005,"operation_count":8,"complexity_ratio":61875.625,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3823,"base":10},"right_expr":{"type":"numeric_atoms","value":1848,"base":10}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":5562,"base":10}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1854,"base":10},"right_expr":{"type":"numeric_atoms","value":1320,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3225,"base":10},"right_expr":{"type":"numeric_atoms","value":5248,"base":10}}}}},"used_operators":["eLAdDNolq6","WhqkvtTD3t","1aApVXNlOP","JxwMv5le6e","nlCqmYiOvY","GjBEYRfMaF","EWw2JM7wp4","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3823","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=3823, right_input=1848, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=5562","layer":4},{"info":"compute unary expreesion, input=5562, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=10598","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10598, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"number node, value=1854","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=1320, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4457","layer":3},{"info":"number node, value=3225","layer":4},{"info":"number node, value=5248","layer":4},{"info":"compute binary expreesion, left_input=3225, right_input=5248, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-494381","layer":3},{"info":"compute binary expreesion, left_input=4457, right_input=-494381, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≤/(⊺⇮3823⨼⩣⊺⇮1848⩇∃⫛(⊺⇮5562⨽⪊≇))⫉⨲⊜((⊺⇮1854⪉⨛⊺⇮1320)⪔(⊺⇮3225⪄⊺⇮5248))=NaN","reverse_text":"NaN=≤/(⊺⇮3823⨼⩣⊺⇮1848⩇∃⫛(⊺⇮5562⨽⪊≇))⫉⨲⊜((⊺⇮1854⪉⨛⊺⇮1320)⪔(⊺⇮3225⪄⊺⇮5248))","cot":[{"info":"⊺⇮3823⨼⩣⊺⇮1848=NaN","layer":3},{"info":"⊺⇮5562⨽⪊≇=⊺⇮10598","layer":3},{"info":"NaN⩇∃⫛⊺⇮10598=NaN","layer":2},{"info":"⊺⇮1854⪉⨛⊺⇮1320=⊺⇮4457","layer":3},{"info":"⊺⇮3225⪄⊺⇮5248=⊺⇮-494381","layer":3},{"info":"⊺⇮4457⪔⊺⇮-494381=⊺⇮450","layer":2},{"info":"NaN⫉⨲⊜⊺⇮450=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"⇠(($1334$⩒⫫$1247$)⊝⪿⪼(⊬↢$1312$)⪕(⇖$1917$≦↸$1159$))","expression":"⇠((⊺⇮1334⩒⫫⊺⇮1247)⊝⪿⪼(⊬↢⊺⇮1312)⪕(⇖⊺⇮1917≦↸⊺⇮1159))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1454,"operation_count":7,"complexity_ratio":207.71428571428572,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1334,"base":10},"right_expr":{"type":"numeric_atoms","value":1247,"base":10}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1312,"base":10}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1917,"base":10},"right_expr":{"type":"numeric_atoms","value":1159,"base":10}}}}},"used_operators":["18saOjeKKm","umQnsF7QlU","3Oe9XWJUTD","KFSx94NKJn","WPoGxAaPR1","tfWHHpNKUN","RygbFNSyEJ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","2DQ55sFlQl","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⊺⇮-46147","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1334","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=1247, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1032","layer":3},{"info":"number node, value=1312","layer":4},{"info":"compute unary expreesion, input=1312, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=1032, right_input=218, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=22824","layer":2},{"info":"number node, value=1917","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=1159, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5471","layer":3},{"info":"compute unary expreesion, input=-5471, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=22824, right_input=160, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=46389","layer":1},{"info":"compute unary expreesion, input=46389, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-46147","layer":0}],"base":10,"result_base":10,"text":"⇠((⊺⇮1334⩒⫫⊺⇮1247)⊝⪿⪼(⊬↢⊺⇮1312)⪕(⇖⊺⇮1917≦↸⊺⇮1159))=⊺⇮-46147","reverse_text":"⊺⇮-46147=⇠((⊺⇮1334⩒⫫⊺⇮1247)⊝⪿⪼(⊬↢⊺⇮1312)⪕(⇖⊺⇮1917≦↸⊺⇮1159))","cot":[{"info":"⊺⇮1334⩒⫫⊺⇮1247=⊺⇮1032","layer":3},{"info":"⊬↢⊺⇮1312=⊺⇮218","layer":3},{"info":"⊺⇮1032⊝⪿⪼⊺⇮218=⊺⇮22824","layer":2},{"info":"⊺⇮1917≦↸⊺⇮1159=⊺⇮-5471","layer":3},{"info":"⇖⊺⇮-5471=⊺⇮160","layer":2},{"info":"⊺⇮22824⪕⊺⇮160=⊺⇮46389","layer":1},{"info":"⇠⊺⇮46389=⊺⇮-46147","layer":0}]}
{"id":166,"expression_no_base_symbol":"⨝⨆(($2471$⪍↜⋙$6798$⋳⪒$3556$⇴∐$6223$)⩅⪻⪻)","expression":"⨝⨆((⊺⇮2471⪍↜⋙⊺⇮6798⋳⪒⊺⇮3556⇴∐⊺⇮6223)⩅⪻⪻)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":105,"operation_count":5,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2471,"base":10},"right_expr":{"type":"numeric_atoms","value":6798,"base":10}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3556,"base":10},"right_expr":{"type":"numeric_atoms","value":6223,"base":10}}}}},"used_operators":["bQ67fsrMVf","kHoXpA7yos","12rbrZMWeM","L05ObWFQCd","HnzytWxmAO"],"dependent_operators":["tifHPKVTfV","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⊺⇮3770","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2471","layer":4},{"info":"number node, value=6798","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=6798, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-26734","layer":3},{"info":"number node, value=3556","layer":4},{"info":"number node, value=6223","layer":4},{"info":"compute binary expreesion, left_input=3556, right_input=6223, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-26734, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3770","layer":0}],"base":10,"result_base":10,"text":"⨝⨆((⊺⇮2471⪍↜⋙⊺⇮6798⋳⪒⊺⇮3556⇴∐⊺⇮6223)⩅⪻⪻)=⊺⇮3770","reverse_text":"⊺⇮3770=⨝⨆((⊺⇮2471⪍↜⋙⊺⇮6798⋳⪒⊺⇮3556⇴∐⊺⇮6223)⩅⪻⪻)","cot":[{"info":"⊺⇮2471⪍↜⋙⊺⇮6798=⊺⇮-26734","layer":3},{"info":"⊺⇮3556⇴∐⊺⇮6223=NaN","layer":3},{"info":"⊺⇮-26734⋳⪒NaN=NaN","layer":2},{"info":"NaN⩅⪻⪻=⊺⇮3979","layer":1},{"info":"⨝⨆⊺⇮3979=⊺⇮3770","layer":0}]}
{"id":167,"expression_no_base_symbol":"(⪹($1110$∲⫓$6906$)↓$2016$≁$1690$)⋘⨑⨽","expression":"(⪹(⊺⇮1110∲⫓⊺⇮6906)↓⊺⇮2016≁⊺⇮1690)⋘⨑⨽","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":383412,"operation_count":5,"complexity_ratio":76682.4,"tree":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1110,"base":10},"right_expr":{"type":"numeric_atoms","value":6906,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2016,"base":10},"right_expr":{"type":"numeric_atoms","value":1690,"base":10}}}}},"used_operators":["WmT3o8z6ya","USyYr0JgAa","Af076pWI7l","i8ToyICDmI","8N2wDY1A35"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","tifHPKVTfV","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⊺⇮2353","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1110","layer":4},{"info":"number node, value=6906","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=6906, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2016","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=1690, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=27359","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=27359, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=314","layer":1},{"info":"compute unary expreesion, input=314, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=2353","layer":0}],"base":10,"result_base":10,"text":"(⪹(⊺⇮1110∲⫓⊺⇮6906)↓⊺⇮2016≁⊺⇮1690)⋘⨑⨽=⊺⇮2353","reverse_text":"⊺⇮2353=(⪹(⊺⇮1110∲⫓⊺⇮6906)↓⊺⇮2016≁⊺⇮1690)⋘⨑⨽","cot":[{"info":"⊺⇮1110∲⫓⊺⇮6906=⊺⇮0","layer":3},{"info":"⊺⇮2016≁⊺⇮1690=⊺⇮27359","layer":3},{"info":"⊺⇮0↓⊺⇮27359=⊺⇮-134","layer":2},{"info":"⪹⊺⇮-134=⊺⇮314","layer":1},{"info":"⊺⇮314⋘⨑⨽=⊺⇮2353","layer":0}]}
{"id":168,"expression_no_base_symbol":"($1400$⋭≵$1442$)⪛($2042$∲⫓$4775$)⪡(≋(≋$3590$))⨔≚≋(⇠($1601$⊭↱$1011$)≝⊿(⩎⋉$3109$))","expression":"(⊺⇮1400⋭≵⊺⇮1442)⪛(⊺⇮2042∲⫓⊺⇮4775)⪡(≋(≋⊺⇮3590))⨔≚≋(⇠(⊺⇮1601⊭↱⊺⇮1011)≝⊿(⩎⋉⊺⇮3109))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":219,"operation_count":11,"complexity_ratio":19.90909090909091,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1400,"base":10},"right_expr":{"type":"numeric_atoms","value":1442,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2042,"base":10},"right_expr":{"type":"numeric_atoms","value":4775,"base":10}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3590,"base":10}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1601,"base":10},"right_expr":{"type":"numeric_atoms","value":1011,"base":10}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":3109,"base":10}}}}},"used_operators":["Z57zeUYC9z","oraRL2iQuh","uFcxV4UQCh","jBncVCNhdl","i8ToyICDmI","61wBmkZwlr","18saOjeKKm","OKKcZfAt5B","COABgblf1C","FlXk3pOYe8"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1400","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=1442, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2042","layer":4},{"info":"number node, value=4775","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=4775, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=3590","layer":4},{"info":"compute unary expreesion, input=3590, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3590","layer":3},{"info":"compute unary expreesion, input=3590, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3590","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3590, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"number node, value=1601","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=1011, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1175","layer":3},{"info":"number node, value=3109","layer":4},{"info":"compute unary expreesion, input=3109, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-1175, right_input=1650, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-2658","layer":2},{"info":"compute unary expreesion, input=-2658, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1400⋭≵⊺⇮1442)⪛(⊺⇮2042∲⫓⊺⇮4775)⪡(≋(≋⊺⇮3590))⨔≚≋(⇠(⊺⇮1601⊭↱⊺⇮1011)≝⊿(⩎⋉⊺⇮3109))=NaN","reverse_text":"NaN=(⊺⇮1400⋭≵⊺⇮1442)⪛(⊺⇮2042∲⫓⊺⇮4775)⪡(≋(≋⊺⇮3590))⨔≚≋(⇠(⊺⇮1601⊭↱⊺⇮1011)≝⊿(⩎⋉⊺⇮3109))","cot":[{"info":"⊺⇮1400⋭≵⊺⇮1442=⊺⇮67","layer":3},{"info":"⊺⇮2042∲⫓⊺⇮4775=⊺⇮0","layer":3},{"info":"⊺⇮67⪛⊺⇮0=NaN","layer":2},{"info":"≋⊺⇮3590=⊺⇮3590","layer":3},{"info":"≋⊺⇮3590=⊺⇮3590","layer":2},{"info":"NaN⪡⊺⇮3590=NaN","layer":1},{"info":"⊺⇮1601⊭↱⊺⇮1011=⊺⇮-1175","layer":3},{"info":"⩎⋉⊺⇮3109=⊺⇮1650","layer":3},{"info":"⊺⇮-1175≝⊿⊺⇮1650=⊺⇮-2658","layer":2},{"info":"⇠⊺⇮-2658=⊺⇮0","layer":1},{"info":"NaN⨔≚≋⊺⇮0=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"(⋗⩴⪓(⨙⪌($2351$⪐)))≠≀(⊀$3311$)∊∟⩊($1041$⨚$1217$)⨻⩈⩔(∂$1651$≝⊿$5573$)","expression":"(⋗⩴⪓(⨙⪌(⊺⇮2351⪐)))≠≀(⊀⊺⇮3311)∊∟⩊(⊺⇮1041⨚⊺⇮1217)⨻⩈⩔(∂⊺⇮1651≝⊿⊺⇮5573)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2387,"operation_count":10,"complexity_ratio":238.7,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2351,"base":10}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3311,"base":10}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1041,"base":10},"right_expr":{"type":"numeric_atoms","value":1217,"base":10}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1651,"base":10},"right_expr":{"type":"numeric_atoms","value":5573,"base":10}}}}},"used_operators":["IwW236VD4Y","nOKPl9n5zu","vEGLkm4Z2k","eH2TOUuTDT","nEsXyWgiOK","ddLRYrp01A","oPMjh9089D","nREPSIbpBE","Uaa54Peajs","OKKcZfAt5B"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","12rbrZMWeM"],"result":"⊺⇮8","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2351","layer":4},{"info":"compute unary expreesion, input=2351, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4702","layer":3},{"info":"compute unary expreesion, input=4702, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=45","layer":1},{"info":"number node, value=3311","layer":4},{"info":"compute unary expreesion, input=3311, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=12982","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1217, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-1852","layer":3},{"info":"compute binary expreesion, left_input=12982, right_input=-1852, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-1852","layer":2},{"info":"number node, value=1651","layer":4},{"info":"number node, value=5573","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=5573, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-13330","layer":3},{"info":"compute unary expreesion, input=-13330, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=13066","layer":2},{"info":"compute binary expreesion, left_input=-1852, right_input=13066, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=45, right_input=-174, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=8","layer":0}],"base":10,"result_base":10,"text":"(⋗⩴⪓(⨙⪌(⊺⇮2351⪐)))≠≀(⊀⊺⇮3311)∊∟⩊(⊺⇮1041⨚⊺⇮1217)⨻⩈⩔(∂⊺⇮1651≝⊿⊺⇮5573)=⊺⇮8","reverse_text":"⊺⇮8=(⋗⩴⪓(⨙⪌(⊺⇮2351⪐)))≠≀(⊀⊺⇮3311)∊∟⩊(⊺⇮1041⨚⊺⇮1217)⨻⩈⩔(∂⊺⇮1651≝⊿⊺⇮5573)","cot":[{"info":"⊺⇮2351⪐=⊺⇮4702","layer":3},{"info":"⨙⪌⊺⇮4702=⊺⇮868","layer":2},{"info":"⋗⩴⪓⊺⇮868=⊺⇮45","layer":1},{"info":"⊀⊺⇮3311=⊺⇮12982","layer":3},{"info":"⊺⇮1041⨚⊺⇮1217=⊺⇮-1852","layer":3},{"info":"⊺⇮12982∊∟⩊⊺⇮-1852=⊺⇮-1852","layer":2},{"info":"⊺⇮1651≝⊿⊺⇮5573=⊺⇮-13330","layer":3},{"info":"∂⊺⇮-13330=⊺⇮13066","layer":2},{"info":"⊺⇮-1852⨻⩈⩔⊺⇮13066=⊺⇮-174","layer":1},{"info":"⊺⇮45≠≀⊺⇮-174=⊺⇮8","layer":0}]}
{"id":170,"expression_no_base_symbol":"(⨛($2146$∙⊟$1454$)⇌⫙⪟$6499$⪥$4030$)⪔((⨆≐≲($3040$⪁$1051$))⩵∡($4294$≓∲$1320$)⋕⪉⪜(↥$2890$))","expression":"(⨛(⊺⇮2146∙⊟⊺⇮1454)⇌⫙⪟⊺⇮6499⪥⊺⇮4030)⪔((⨆≐≲(⊺⇮3040⪁⊺⇮1051))⩵∡(⊺⇮4294≓∲⊺⇮1320)⋕⪉⪜(↥⊺⇮2890))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15656192,"operation_count":11,"complexity_ratio":1423290.1818181819,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2146,"base":10},"right_expr":{"type":"numeric_atoms","value":1454,"base":10}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6499,"base":10},"right_expr":{"type":"numeric_atoms","value":4030,"base":10}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3040,"base":10},"right_expr":{"type":"numeric_atoms","value":1051,"base":10}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4294,"base":10},"right_expr":{"type":"numeric_atoms","value":1320,"base":10}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2890,"base":10}}}}},"used_operators":["GjBEYRfMaF","CoMdbyAt7R","AFVx7xoS7T","SxTAKzQCrw","QbnwKVWMIQ","Y7wcNGrDQJ","Bi9z9uYZqW","I7sXao9hZE","z6LnFrNh4i","s1XTVnmDOJ","A8NUZmVepG"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","NTOWxs364D","glklzrTFfD","tifHPKVTfV","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2146","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=1454, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=37744","layer":3},{"info":"number node, value=6499","layer":4},{"info":"number node, value=4030","layer":4},{"info":"compute binary expreesion, left_input=6499, right_input=4030, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=30648","layer":3},{"info":"compute binary expreesion, left_input=37744, right_input=30648, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=3040","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=3040, right_input=1051, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"number node, value=4294","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=4294, right_input=1320, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=43723","layer":3},{"info":"number node, value=2890","layer":4},{"info":"compute unary expreesion, input=2890, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":3},{"info":"compute binary expreesion, left_input=43723, right_input=34, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=-168548, right_input=2802, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=508325","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=508325, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨛(⊺⇮2146∙⊟⊺⇮1454)⇌⫙⪟⊺⇮6499⪥⊺⇮4030)⪔((⨆≐≲(⊺⇮3040⪁⊺⇮1051))⩵∡(⊺⇮4294≓∲⊺⇮1320)⋕⪉⪜(↥⊺⇮2890))=NaN","reverse_text":"NaN=(⨛(⊺⇮2146∙⊟⊺⇮1454)⇌⫙⪟⊺⇮6499⪥⊺⇮4030)⪔((⨆≐≲(⊺⇮3040⪁⊺⇮1051))⩵∡(⊺⇮4294≓∲⊺⇮1320)⋕⪉⪜(↥⊺⇮2890))","cot":[{"info":"⊺⇮2146∙⊟⊺⇮1454=⊺⇮37744","layer":3},{"info":"⊺⇮6499⪥⊺⇮4030=⊺⇮30648","layer":3},{"info":"⊺⇮37744⇌⫙⪟⊺⇮30648=⊺⇮113","layer":2},{"info":"⨛⊺⇮113=NaN","layer":1},{"info":"⊺⇮3040⪁⊺⇮1051=NaN","layer":3},{"info":"⨆≐≲NaN=⊺⇮-168548","layer":2},{"info":"⊺⇮4294≓∲⊺⇮1320=⊺⇮43723","layer":3},{"info":"↥⊺⇮2890=⊺⇮34","layer":3},{"info":"⊺⇮43723⋕⪉⪜⊺⇮34=⊺⇮2802","layer":2},{"info":"⊺⇮-168548⩵∡⊺⇮2802=⊺⇮508325","layer":1},{"info":"NaN⪔⊺⇮508325=NaN","layer":0}]}
{"id":171,"expression_no_base_symbol":"⨆≐≲(≸≮($3613$∣$3025$⨒$1216$⊋$4910$))","expression":"⨆≐≲(≸≮(⊺⇮3613∣⊺⇮3025⨒⊺⇮1216⊋⊺⇮4910))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7493,"operation_count":5,"complexity_ratio":1498.6,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3613,"base":10},"right_expr":{"type":"numeric_atoms","value":3025,"base":10}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1216,"base":10},"right_expr":{"type":"numeric_atoms","value":4910,"base":10}}}}},"used_operators":["Bi9z9uYZqW","AljMvE3RRm","y75s1iXyHd","PPChnnnBFF","W4tP9CfskL"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⊺⇮-168548","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3613","layer":4},{"info":"number node, value=3025","layer":4},{"info":"compute binary expreesion, left_input=3613, right_input=3025, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3613","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=4910","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=4910, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-141214580","layer":3},{"info":"compute binary expreesion, left_input=3613, right_input=-141214580, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute unary expreesion, input=1, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-258","layer":1},{"info":"compute unary expreesion, input=-258, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":10,"result_base":10,"text":"⨆≐≲(≸≮(⊺⇮3613∣⊺⇮3025⨒⊺⇮1216⊋⊺⇮4910))=⊺⇮-168548","reverse_text":"⊺⇮-168548=⨆≐≲(≸≮(⊺⇮3613∣⊺⇮3025⨒⊺⇮1216⊋⊺⇮4910))","cot":[{"info":"⊺⇮3613∣⊺⇮3025=⊺⇮3613","layer":3},{"info":"⊺⇮1216⊋⊺⇮4910=⊺⇮-141214580","layer":3},{"info":"⊺⇮3613⨒⊺⇮-141214580=⊺⇮1","layer":2},{"info":"≸≮⊺⇮1=⊺⇮-258","layer":1},{"info":"⨆≐≲⊺⇮-258=⊺⇮-168548","layer":0}]}
{"id":172,"expression_no_base_symbol":"(⨵≀≌(⋂$9634$))⨚⇆($7415$⇄$1403$∕⩚$2141$≚⊃≕$7783$)⇌⫙⪟((($1637$⨐⩸⫘$1154$)∠↢($1215$⫑))⪛⫼(⨭⩧⫛$1443$)⪢($2236$⋷$6050$))","expression":"(⨵≀≌(⋂⊺⇮9634))⨚⇆(⊺⇮7415⇄⊺⇮1403∕⩚⊺⇮2141≚⊃≕⊺⇮7783)⇌⫙⪟(((⊺⇮1637⨐⩸⫘⊺⇮1154)∠↢(⊺⇮1215⫑))⪛⫼(⨭⩧⫛⊺⇮1443)⪢(⊺⇮2236⋷⊺⇮6050))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":144505,"operation_count":14,"complexity_ratio":10321.785714285714,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":9634,"base":10}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":7415,"base":10},"right_expr":{"type":"numeric_atoms","value":1403,"base":10}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2141,"base":10},"right_expr":{"type":"numeric_atoms","value":7783,"base":10}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1637,"base":10},"right_expr":{"type":"numeric_atoms","value":1154,"base":10}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1215,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1443,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2236,"base":10},"right_expr":{"type":"numeric_atoms","value":6050,"base":10}}}}},"used_operators":["AFVx7xoS7T","lwHaAYXP2r","srAu1WTS94","BUOGQAYlQx","z9ffQ9n5Zr","3EYGwJThht","Bmrmz2XGnR","hyuBjUqXlG","KbjG8mgYpV","fu6greOZ01","CgIo77xlM2","dWAJyo7jo9","g21JL6JxX7","23Mk6UjR3U"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","3ViojmjbAp","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","k8jYdgA6NY","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9634","layer":4},{"info":"compute unary expreesion, input=9634, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-134280","layer":3},{"info":"compute unary expreesion, input=-134280, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":2},{"info":"number node, value=7415","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=7415, right_input=1403, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2141","layer":4},{"info":"number node, value=7783","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=7783, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-22563","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-22563, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-487, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=1637","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=1154, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=1443","layer":4},{"info":"compute unary expreesion, input=1443, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=2236","layer":4},{"info":"number node, value=6050","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=6050, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9864","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9864, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨵≀≌(⋂⊺⇮9634))⨚⇆(⊺⇮7415⇄⊺⇮1403∕⩚⊺⇮2141≚⊃≕⊺⇮7783)⇌⫙⪟(((⊺⇮1637⨐⩸⫘⊺⇮1154)∠↢(⊺⇮1215⫑))⪛⫼(⨭⩧⫛⊺⇮1443)⪢(⊺⇮2236⋷⊺⇮6050))=NaN","reverse_text":"NaN=(⨵≀≌(⋂⊺⇮9634))⨚⇆(⊺⇮7415⇄⊺⇮1403∕⩚⊺⇮2141≚⊃≕⊺⇮7783)⇌⫙⪟(((⊺⇮1637⨐⩸⫘⊺⇮1154)∠↢(⊺⇮1215⫑))⪛⫼(⨭⩧⫛⊺⇮1443)⪢(⊺⇮2236⋷⊺⇮6050))","cot":[{"info":"⋂⊺⇮9634=⊺⇮-134280","layer":3},{"info":"⨵≀≌⊺⇮-134280=Inf","layer":2},{"info":"⊺⇮7415⇄⊺⇮1403=⊺⇮0","layer":3},{"info":"⊺⇮2141≚⊃≕⊺⇮7783=⊺⇮-22563","layer":3},{"info":"⊺⇮0∕⩚⊺⇮-22563=⊺⇮-487","layer":2},{"info":"Inf⨚⇆⊺⇮-487=NaN","layer":1},{"info":"⊺⇮1637⨐⩸⫘⊺⇮1154=NaN","layer":3},{"info":"⊺⇮1215⫑=⊺⇮3979","layer":3},{"info":"NaN∠↢⊺⇮3979=NaN","layer":2},{"info":"⨭⩧⫛⊺⇮1443=NaN","layer":3},{"info":"⊺⇮2236⋷⊺⇮6050=⊺⇮9864","layer":3},{"info":"NaN⪢⊺⇮9864=NaN","layer":2},{"info":"NaN⪛⫼NaN=NaN","layer":1},{"info":"NaN⇌⫙⪟NaN=NaN","layer":0}]}
{"id":173,"expression_no_base_symbol":"(⪓⩚($2468$⋫))⨰(⊵⊁$1431$↤⩊$1168$)↛⩡⫤","expression":"(⪓⩚(⊺⇮2468⋫))⨰(⊵⊁⊺⇮1431↤⩊⊺⇮1168)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6077,"operation_count":6,"complexity_ratio":1012.8333333333334,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2468,"base":10}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1431,"base":10},"right_expr":{"type":"numeric_atoms","value":1168,"base":10}}}}},"used_operators":["FU0Cs4j7VP","eewbuw0ToL","u0R0Locfp2","JL8yIekQnl","AvED76WdY7","13rbtpv6ld"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","tmPS8pqC7x","uBihLCJcMX","k8jYdgA6NY","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2468","layer":4},{"info":"compute unary expreesion, input=2468, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2468","layer":3},{"info":"compute unary expreesion, input=2468, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=1168, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪓⩚(⊺⇮2468⋫))⨰(⊵⊁⊺⇮1431↤⩊⊺⇮1168)↛⩡⫤=NaN","reverse_text":"NaN=(⪓⩚(⊺⇮2468⋫))⨰(⊵⊁⊺⇮1431↤⩊⊺⇮1168)↛⩡⫤","cot":[{"info":"⊺⇮2468⋫=⊺⇮2468","layer":3},{"info":"⪓⩚⊺⇮2468=⊺⇮426","layer":2},{"info":"⊺⇮1431↤⩊⊺⇮1168=NaN","layer":3},{"info":"⊵⊁NaN=NaN","layer":2},{"info":"⊺⇮426⨰NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":174,"expression_no_base_symbol":"(($1683$⪔$1605$⊋≦⊧(⩦⩻⨪$5672$))⊀⩕)⋾⨃∁(⇜$5159$⫁$3596$)⩼⇪↪(($1718$⪘⫢$4473$)⪷)","expression":"((⊺⇮1683⪔⊺⇮1605⊋≦⊧(⩦⩻⨪⊺⇮5672))⊀⩕)⋾⨃∁(⇜⊺⇮5159⫁⊺⇮3596)⩼⇪↪((⊺⇮1718⪘⫢⊺⇮4473)⪷)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6672,"operation_count":10,"complexity_ratio":667.2,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1683,"base":10},"right_expr":{"type":"numeric_atoms","value":1605,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5672,"base":10}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5159,"base":10},"right_expr":{"type":"numeric_atoms","value":3596,"base":10}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1718,"base":10},"right_expr":{"type":"numeric_atoms","value":4473,"base":10}}}}},"used_operators":["212REbPD9h","r0FS3hW4cC","oRDoc9rAEX","GjBEYRfMaF","2td37pGCOC","ocnLzx9CaJ","lFBm8KRb8F","0ajvFaJAv0","Qctrpi3WzA","oacrs7FA3X"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rGHVDoGpnC","nhYeJWJD5X","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","cHh1gJQ2o6","AHs5Up7iyr","Nsiff2A1zJ","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1683","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=1605, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5672","layer":4},{"info":"compute unary expreesion, input=5672, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5672","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=5672, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-5882","layer":2},{"info":"compute unary expreesion, input=-5882, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":1},{"info":"number node, value=5159","layer":4},{"info":"number node, value=3596","layer":4},{"info":"compute binary expreesion, left_input=5159, right_input=3596, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-1688","layer":2},{"info":"number node, value=1718","layer":4},{"info":"number node, value=4473","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=4473, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3312","layer":3},{"info":"compute unary expreesion, input=3312, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1688, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1683⪔⊺⇮1605⊋≦⊧(⩦⩻⨪⊺⇮5672))⊀⩕)⋾⨃∁(⇜⊺⇮5159⫁⊺⇮3596)⩼⇪↪((⊺⇮1718⪘⫢⊺⇮4473)⪷)=NaN","reverse_text":"NaN=((⊺⇮1683⪔⊺⇮1605⊋≦⊧(⩦⩻⨪⊺⇮5672))⊀⩕)⋾⨃∁(⇜⊺⇮5159⫁⊺⇮3596)⩼⇪↪((⊺⇮1718⪘⫢⊺⇮4473)⪷)","cot":[{"info":"⊺⇮1683⪔⊺⇮1605=⊺⇮450","layer":3},{"info":"⩦⩻⨪⊺⇮5672=⊺⇮5672","layer":3},{"info":"⊺⇮450⊋≦⊧⊺⇮5672=⊺⇮-5882","layer":2},{"info":"⊺⇮-5882⊀⩕=⊺⇮0","layer":1},{"info":"⊺⇮5159⫁⊺⇮3596=⊺⇮160","layer":3},{"info":"⇜⊺⇮160=⊺⇮-1688","layer":2},{"info":"⊺⇮1718⪘⫢⊺⇮4473=⊺⇮3312","layer":3},{"info":"⊺⇮3312⪷=NaN","layer":2},{"info":"⊺⇮-1688⩼⇪↪NaN=NaN","layer":1},{"info":"⊺⇮0⋾⨃∁NaN=NaN","layer":0}]}
{"id":175,"expression_no_base_symbol":"(($2278$⊍⩺⋍$3897$)∝$5341$∑⇟⊟$2909$)⩖⊿(($4274$⪉⨛$1557$)⫸⇳(⩦⩻⨪$3274$))∳⫺((⊄⩳↩(⋼∭⪍$5223$))⩺⪪$3374$⨂≜$4119$⪍↜⋙$5317$⪥$4397$)","expression":"((⊺⇮2278⊍⩺⋍⊺⇮3897)∝⊺⇮5341∑⇟⊟⊺⇮2909)⩖⊿((⊺⇮4274⪉⨛⊺⇮1557)⫸⇳(⩦⩻⨪⊺⇮3274))∳⫺((⊄⩳↩(⋼∭⪍⊺⇮5223))⩺⪪⊺⇮3374⨂≜⊺⇮4119⪍↜⋙⊺⇮5317⪥⊺⇮4397)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3925,"operation_count":14,"complexity_ratio":280.35714285714283,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2278,"base":10},"right_expr":{"type":"numeric_atoms","value":3897,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5341,"base":10},"right_expr":{"type":"numeric_atoms","value":2909,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4274,"base":10},"right_expr":{"type":"numeric_atoms","value":1557,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3274,"base":10}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5223,"base":10}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3374,"base":10},"right_expr":{"type":"numeric_atoms","value":4119,"base":10}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5317,"base":10},"right_expr":{"type":"numeric_atoms","value":4397,"base":10}}}}},"used_operators":["AzXXKTstlj","RZ5CV9rWsJ","cTDWOvIxvz","OXDGMFPWZM","U7g4x0WXJJ","gx7XJ7hdpj","EWw2JM7wp4","2td37pGCOC","uvdQJvN4PV","8w2t5hMYqp","DbCuESL50I","L05ObWFQCd","k1SHOSEABc","QbnwKVWMIQ"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","7j4O788W3g","W4YGzv6Whe","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⊺⇮-260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2278","layer":4},{"info":"number node, value=3897","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=3897, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=5341","layer":4},{"info":"number node, value=2909","layer":4},{"info":"compute binary expreesion, left_input=5341, right_input=2909, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=4274","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=4274, right_input=1557, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11480","layer":3},{"info":"number node, value=3274","layer":4},{"info":"compute unary expreesion, input=3274, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3274","layer":3},{"info":"compute binary expreesion, left_input=11480, right_input=3274, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"number node, value=5223","layer":4},{"info":"compute unary expreesion, input=5223, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-19152","layer":3},{"info":"compute unary expreesion, input=-19152, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=57456","layer":2},{"info":"number node, value=3374","layer":4},{"info":"number node, value=4119","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=4119, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5317","layer":4},{"info":"number node, value=4397","layer":4},{"info":"compute binary expreesion, left_input=5317, right_input=4397, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=25920","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=25920, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=57456, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2278⊍⩺⋍⊺⇮3897)∝⊺⇮5341∑⇟⊟⊺⇮2909)⩖⊿((⊺⇮4274⪉⨛⊺⇮1557)⫸⇳(⩦⩻⨪⊺⇮3274))∳⫺((⊄⩳↩(⋼∭⪍⊺⇮5223))⩺⪪⊺⇮3374⨂≜⊺⇮4119⪍↜⋙⊺⇮5317⪥⊺⇮4397)=⊺⇮-260","reverse_text":"⊺⇮-260=((⊺⇮2278⊍⩺⋍⊺⇮3897)∝⊺⇮5341∑⇟⊟⊺⇮2909)⩖⊿((⊺⇮4274⪉⨛⊺⇮1557)⫸⇳(⩦⩻⨪⊺⇮3274))∳⫺((⊄⩳↩(⋼∭⪍⊺⇮5223))⩺⪪⊺⇮3374⨂≜⊺⇮4119⪍↜⋙⊺⇮5317⪥⊺⇮4397)","cot":[{"info":"⊺⇮2278⊍⩺⋍⊺⇮3897=NaN","layer":3},{"info":"⊺⇮5341∑⇟⊟⊺⇮2909=NaN","layer":3},{"info":"NaN∝NaN=NaN","layer":2},{"info":"⊺⇮4274⪉⨛⊺⇮1557=⊺⇮11480","layer":3},{"info":"⩦⩻⨪⊺⇮3274=⊺⇮3274","layer":3},{"info":"⊺⇮11480⫸⇳⊺⇮3274=⊺⇮0","layer":2},{"info":"NaN⩖⊿⊺⇮0=NaN","layer":1},{"info":"⋼∭⪍⊺⇮5223=⊺⇮-19152","layer":3},{"info":"⊄⩳↩⊺⇮-19152=⊺⇮57456","layer":2},{"info":"⊺⇮3374⨂≜⊺⇮4119=NaN","layer":3},{"info":"⊺⇮5317⪥⊺⇮4397=⊺⇮25920","layer":3},{"info":"NaN⪍↜⋙⊺⇮25920=NaN","layer":2},{"info":"⊺⇮57456⩺⪪NaN=NaN","layer":1},{"info":"NaN∳⫺NaN=⊺⇮-260","layer":0}]}
{"id":176,"expression_no_base_symbol":"(⩷⨜⫀(⊥($1728$⩺⪪$3259$)))↞⋁(($5025$∙∹∝$4021$)⫁($3387$⇮⋭$1794$)⇟⨁⪰)","expression":"(⩷⨜⫀(⊥(⊺⇮1728⩺⪪⊺⇮3259)))↞⋁((⊺⇮5025∙∹∝⊺⇮4021)⫁(⊺⇮3387⇮⋭⊺⇮1794)⇟⨁⪰)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1710,"operation_count":8,"complexity_ratio":213.75,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1728,"base":10},"right_expr":{"type":"numeric_atoms","value":3259,"base":10}}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5025,"base":10},"right_expr":{"type":"numeric_atoms","value":4021,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3387,"base":10},"right_expr":{"type":"numeric_atoms","value":1794,"base":10}}}}},"used_operators":["RqrPlJkxDo","CDi0ktkjQ4","Q3PJZHRvZv","uvdQJvN4PV","BX1lVwlMe0","0ajvFaJAv0","HmxsFra2vL","vkpjKywKVM"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","ruOEQAzv1W","nhYeJWJD5X","fu6greOZ01","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","2DDjHMKMc0","xUOZtlo3hN","cHh1gJQ2o6","AHs5Up7iyr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1728","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=3259, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute unary expreesion, input=-1818, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":1},{"info":"number node, value=5025","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=5025, right_input=4021, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3387","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=3387, right_input=1794, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-473, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-334","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-334, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-134","layer":0}],"base":10,"result_base":10,"text":"(⩷⨜⫀(⊥(⊺⇮1728⩺⪪⊺⇮3259)))↞⋁((⊺⇮5025∙∹∝⊺⇮4021)⫁(⊺⇮3387⇮⋭⊺⇮1794)⇟⨁⪰)=⊺⇮-134","reverse_text":"⊺⇮-134=(⩷⨜⫀(⊥(⊺⇮1728⩺⪪⊺⇮3259)))↞⋁((⊺⇮5025∙∹∝⊺⇮4021)⫁(⊺⇮3387⇮⋭⊺⇮1794)⇟⨁⪰)","cot":[{"info":"⊺⇮1728⩺⪪⊺⇮3259=⊺⇮-1818","layer":3},{"info":"⊥⊺⇮-1818=NaN","layer":2},{"info":"⩷⨜⫀NaN=⊺⇮-134","layer":1},{"info":"⊺⇮5025∙∹∝⊺⇮4021=⊺⇮0","layer":3},{"info":"⊺⇮3387⇮⋭⊺⇮1794=⊺⇮-473","layer":3},{"info":"⊺⇮0⫁⊺⇮-473=⊺⇮160","layer":2},{"info":"⊺⇮160⇟⨁⪰=⊺⇮-334","layer":1},{"info":"⊺⇮-134↞⋁⊺⇮-334=⊺⇮-134","layer":0}]}
{"id":177,"expression_no_base_symbol":"($4781$⋳⪒$1118$)⫗⊷⫓($2418$↡⊰⫅$2717$)⫉⨲⊜(↥$1783$⇄$1053$)⋖∅⋲","expression":"(⊺⇮4781⋳⪒⊺⇮1118)⫗⊷⫓(⊺⇮2418↡⊰⫅⊺⇮2717)⫉⨲⊜(↥⊺⇮1783⇄⊺⇮1053)⋖∅⋲","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38738,"operation_count":7,"complexity_ratio":5534.0,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4781,"base":10},"right_expr":{"type":"numeric_atoms","value":1118,"base":10}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2418,"base":10},"right_expr":{"type":"numeric_atoms","value":2717,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1783,"base":10},"right_expr":{"type":"numeric_atoms","value":1053,"base":10}}}}},"used_operators":["L95AwlJzhO","WhqkvtTD3t","zashukvMKz","12rbrZMWeM","VCtxkLNOzz","A8NUZmVepG","3EYGwJThht"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","eewbuw0ToL","zVYPLywUTj","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4781","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=4781, right_input=1118, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8157","layer":3},{"info":"number node, value=2418","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=2717, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5434","layer":3},{"info":"compute binary expreesion, left_input=8157, right_input=5434, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1783","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=1053, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-110","layer":1},{"info":"compute unary expreesion, input=-110, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4781⋳⪒⊺⇮1118)⫗⊷⫓(⊺⇮2418↡⊰⫅⊺⇮2717)⫉⨲⊜(↥⊺⇮1783⇄⊺⇮1053)⋖∅⋲=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮4781⋳⪒⊺⇮1118)⫗⊷⫓(⊺⇮2418↡⊰⫅⊺⇮2717)⫉⨲⊜(↥⊺⇮1783⇄⊺⇮1053)⋖∅⋲","cot":[{"info":"⊺⇮4781⋳⪒⊺⇮1118=⊺⇮8157","layer":3},{"info":"⊺⇮2418↡⊰⫅⊺⇮2717=⊺⇮5434","layer":3},{"info":"⊺⇮8157⫗⊷⫓⊺⇮5434=⊺⇮-134","layer":2},{"info":"⊺⇮1783⇄⊺⇮1053=⊺⇮0","layer":3},{"info":"↥⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-134⫉⨲⊜⊺⇮0=⊺⇮-110","layer":1},{"info":"⊺⇮-110⋖∅⋲=⊺⇮0","layer":0}]}
{"id":178,"expression_no_base_symbol":"($7632$⪎↠$2470$⫳≱↱$4988$∇⊂⋱$5222$)⩘(⋼∭⪍($3243$⊹∫⫚$2593$))⫌⩉⩟(↸⊣(($1001$∖$1966$)∛(⨆≐≲$5693$)))","expression":"(⊺⇮7632⪎↠⊺⇮2470⫳≱↱⊺⇮4988∇⊂⋱⊺⇮5222)⩘(⋼∭⪍(⊺⇮3243⊹∫⫚⊺⇮2593))⫌⩉⩟(↸⊣((⊺⇮1001∖⊺⇮1966)∛(⨆≐≲⊺⇮5693)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8144,"operation_count":11,"complexity_ratio":740.3636363636364,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":7632,"base":10},"right_expr":{"type":"numeric_atoms","value":2470,"base":10}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4988,"base":10},"right_expr":{"type":"numeric_atoms","value":5222,"base":10}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3243,"base":10},"right_expr":{"type":"numeric_atoms","value":2593,"base":10}}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":1966,"base":10}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":5693,"base":10}}}}},"used_operators":["XIIwhv8d0m","cHh1gJQ2o6","ZvLB05nZmT","3tVxb0NHM4","nhYeJWJD5X","DbCuESL50I","uWAJUKEvyW","wztAlM01eG","w2537kitQq","tXD093vOjl","Bi9z9uYZqW"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"⊺⇮-50","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7632","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=7632, right_input=2470, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=4988","layer":4},{"info":"number node, value=5222","layer":4},{"info":"compute binary expreesion, left_input=4988, right_input=5222, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9430","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=9430, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=3243","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=2593, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-320","layer":3},{"info":"compute unary expreesion, input=-320, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-1818","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=-1818, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1966, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=5693","layer":4},{"info":"compute unary expreesion, input=5693, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=61970712","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=61970712, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=1352","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1352, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮7632⪎↠⊺⇮2470⫳≱↱⊺⇮4988∇⊂⋱⊺⇮5222)⩘(⋼∭⪍(⊺⇮3243⊹∫⫚⊺⇮2593))⫌⩉⩟(↸⊣((⊺⇮1001∖⊺⇮1966)∛(⨆≐≲⊺⇮5693)))=⊺⇮-50","reverse_text":"⊺⇮-50=(⊺⇮7632⪎↠⊺⇮2470⫳≱↱⊺⇮4988∇⊂⋱⊺⇮5222)⩘(⋼∭⪍(⊺⇮3243⊹∫⫚⊺⇮2593))⫌⩉⩟(↸⊣((⊺⇮1001∖⊺⇮1966)∛(⨆≐≲⊺⇮5693)))","cot":[{"info":"⊺⇮7632⪎↠⊺⇮2470=⊺⇮160","layer":3},{"info":"⊺⇮4988∇⊂⋱⊺⇮5222=⊺⇮9430","layer":3},{"info":"⊺⇮160⫳≱↱⊺⇮9430=⊺⇮-204","layer":2},{"info":"⊺⇮3243⊹∫⫚⊺⇮2593=⊺⇮-320","layer":3},{"info":"⋼∭⪍⊺⇮-320=⊺⇮-1818","layer":2},{"info":"⊺⇮-204⩘⊺⇮-1818=⊺⇮160","layer":1},{"info":"⊺⇮1001∖⊺⇮1966=⊺⇮0","layer":3},{"info":"⨆≐≲⊺⇮5693=⊺⇮61970712","layer":3},{"info":"⊺⇮0∛⊺⇮61970712=⊺⇮-676","layer":2},{"info":"↸⊣⊺⇮-676=⊺⇮1352","layer":1},{"info":"⊺⇮160⫌⩉⩟⊺⇮1352=⊺⇮-50","layer":0}]}
{"id":179,"expression_no_base_symbol":"($3652$∥⊢⊲$1006$⫰⋱($1717$⫑%∭))≦↸((⊬↢$2424$)/$1938$↤⩊$1166$)≀⫉(($8520$⇄$1284$)≎⪠($2501$⫃⨇$3467$)+($1682$∙∹∝$5327$)∠⫱(↑$1868$))","expression":"(⊺⇮3652∥⊢⊲⊺⇮1006⫰⋱(⊺⇮1717⫑%∭))≦↸((⊬↢⊺⇮2424)/⊺⇮1938↤⩊⊺⇮1166)≀⫉((⊺⇮8520⇄⊺⇮1284)≎⪠(⊺⇮2501⫃⨇⊺⇮3467)+(⊺⇮1682∙∹∝⊺⇮5327)∠⫱(↑⊺⇮1868))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22992,"operation_count":15,"complexity_ratio":1532.8,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3652,"base":10},"right_expr":{"type":"numeric_atoms","value":1006,"base":10}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1717,"base":10}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2424,"base":10}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1938,"base":10},"right_expr":{"type":"numeric_atoms","value":1166,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":8520,"base":10},"right_expr":{"type":"numeric_atoms","value":1284,"base":10}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2501,"base":10},"right_expr":{"type":"numeric_atoms","value":3467,"base":10}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1682,"base":10},"right_expr":{"type":"numeric_atoms","value":5327,"base":10}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1868,"base":10}}}}},"used_operators":["oZj3VtZNQx","RygbFNSyEJ","6o9Blt3TJ6","v1UQAVDJRr","xUx7qlDO4z","XhwjNDsVaA","WPoGxAaPR1","13rbtpv6ld","W4YGzv6Whe","aNhz54LH3e","3EYGwJThht","09Ly4LVMIf","QvoQhV0rrE","HmxsFra2vL","tR7O2zTn5j"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","EBcxylXtPf","rGHVDoGpnC","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","rysDP5nf3Z","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3652","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=3652, right_input=1006, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1717","layer":4},{"info":"compute unary expreesion, input=1717, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=2424","layer":4},{"info":"compute unary expreesion, input=2424, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=1938","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=1166, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"number node, value=8520","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=8520, right_input=1284, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2501","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=3467, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-13900","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-13900, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=1682","layer":4},{"info":"number node, value=5327","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=5327, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1868","layer":4},{"info":"compute unary expreesion, input=1868, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=192, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-192","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-192, op_id = W4YGzv6Whe binary_op_definition= 'None', output=19366","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19366, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3652∥⊢⊲⊺⇮1006⫰⋱(⊺⇮1717⫑%∭))≦↸((⊬↢⊺⇮2424)/⊺⇮1938↤⩊⊺⇮1166)≀⫉((⊺⇮8520⇄⊺⇮1284)≎⪠(⊺⇮2501⫃⨇⊺⇮3467)+(⊺⇮1682∙∹∝⊺⇮5327)∠⫱(↑⊺⇮1868))=NaN","reverse_text":"NaN=(⊺⇮3652∥⊢⊲⊺⇮1006⫰⋱(⊺⇮1717⫑%∭))≦↸((⊬↢⊺⇮2424)/⊺⇮1938↤⩊⊺⇮1166)≀⫉((⊺⇮8520⇄⊺⇮1284)≎⪠(⊺⇮2501⫃⨇⊺⇮3467)+(⊺⇮1682∙∹∝⊺⇮5327)∠⫱(↑⊺⇮1868))","cot":[{"info":"⊺⇮3652∥⊢⊲⊺⇮1006=NaN","layer":3},{"info":"⊺⇮1717⫑%∭=NaN","layer":3},{"info":"NaN⫰⋱NaN=NaN","layer":2},{"info":"⊬↢⊺⇮2424=⊺⇮218","layer":3},{"info":"⊺⇮1938↤⩊⊺⇮1166=NaN","layer":3},{"info":"⊺⇮218/NaN=NaN","layer":2},{"info":"NaN≦↸NaN=NaN","layer":1},{"info":"⊺⇮8520⇄⊺⇮1284=⊺⇮0","layer":3},{"info":"⊺⇮2501⫃⨇⊺⇮3467=⊺⇮-13900","layer":3},{"info":"⊺⇮0≎⪠⊺⇮-13900=⊺⇮19558","layer":2},{"info":"⊺⇮1682∙∹∝⊺⇮5327=⊺⇮0","layer":3},{"info":"↑⊺⇮1868=⊺⇮192","layer":3},{"info":"⊺⇮0∠⫱⊺⇮192=⊺⇮-192","layer":2},{"info":"⊺⇮19558+⊺⇮-192=⊺⇮19366","layer":1},{"info":"NaN≀⫉⊺⇮19366=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"↥($5118$⩼⇪↪$1082$⫃⨇(∐⩳⋚$1020$))⪝(($2129$∪⫐$3695$)⨟⋌⩍($8912$⨓$5624$))","expression":"↥(⊺⇮5118⩼⇪↪⊺⇮1082⫃⨇(∐⩳⋚⊺⇮1020))⪝((⊺⇮2129∪⫐⊺⇮3695)⨟⋌⩍(⊺⇮8912⨓⊺⇮5624))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6245,"operation_count":8,"complexity_ratio":780.625,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":5118,"base":10},"right_expr":{"type":"numeric_atoms","value":1082,"base":10}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1020,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2129,"base":10},"right_expr":{"type":"numeric_atoms","value":3695,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8912,"base":10},"right_expr":{"type":"numeric_atoms","value":5624,"base":10}}}}},"used_operators":["A8NUZmVepG","wicAB68Tmb","09Ly4LVMIf","ocnLzx9CaJ","SL6IHkK8vl","rGHVDoGpnC","7YooWSwCyH","3ViojmjbAp"],"dependent_operators":["k8jYdgA6NY","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","Tcnh7f0tEr","rJVOvQCfKK","2DDjHMKMc0","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5118","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=5118, right_input=1082, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=1879","layer":3},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=135637","layer":3},{"info":"compute binary expreesion, left_input=1879, right_input=135637, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-542580","layer":2},{"info":"number node, value=2129","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=3695, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2129","layer":3},{"info":"number node, value=8912","layer":4},{"info":"number node, value=5624","layer":4},{"info":"compute binary expreesion, left_input=8912, right_input=5624, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5627","layer":3},{"info":"compute binary expreesion, left_input=2129, right_input=-5627, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-542580, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↥(⊺⇮5118⩼⇪↪⊺⇮1082⫃⨇(∐⩳⋚⊺⇮1020))⪝((⊺⇮2129∪⫐⊺⇮3695)⨟⋌⩍(⊺⇮8912⨓⊺⇮5624))=NaN","reverse_text":"NaN=↥(⊺⇮5118⩼⇪↪⊺⇮1082⫃⨇(∐⩳⋚⊺⇮1020))⪝((⊺⇮2129∪⫐⊺⇮3695)⨟⋌⩍(⊺⇮8912⨓⊺⇮5624))","cot":[{"info":"⊺⇮5118⩼⇪↪⊺⇮1082=⊺⇮1879","layer":3},{"info":"∐⩳⋚⊺⇮1020=⊺⇮135637","layer":3},{"info":"⊺⇮1879⫃⨇⊺⇮135637=⊺⇮-542580","layer":2},{"info":"⊺⇮2129∪⫐⊺⇮3695=⊺⇮2129","layer":3},{"info":"⊺⇮8912⨓⊺⇮5624=⊺⇮-5627","layer":3},{"info":"⊺⇮2129⨟⋌⩍⊺⇮-5627=NaN","layer":2},{"info":"⊺⇮-542580⪝NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":181,"expression_no_base_symbol":"(-(⩎⋉($8272$∷$6270$)))⪢(⩷($1944$⫯⪬∳$2032$⋝⋈⪟(⇨$5836$)))","expression":"(-(⩎⋉(⊺⇮8272∷⊺⇮6270)))⪢(⩷(⊺⇮1944⫯⪬∳⊺⇮2032⋝⋈⪟(⇨⊺⇮5836)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":92843,"operation_count":8,"complexity_ratio":11605.375,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":8272,"base":10},"right_expr":{"type":"numeric_atoms","value":6270,"base":10}}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1944,"base":10},"right_expr":{"type":"numeric_atoms","value":2032,"base":10}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":5836,"base":10}}}}},"used_operators":["dWAJyo7jo9","t8gj7n24qd","FlXk3pOYe8","D3AQDKkPcf","1h0rLqGiFr","2DDjHMKMc0","d7ASUq0ydm","G9tJMlZ94a"],"dependent_operators":["k8jYdgA6NY","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","9FxExcQeMw","NTOWxs364D","7j4O788W3g","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8272","layer":4},{"info":"number node, value=6270","layer":4},{"info":"compute binary expreesion, left_input=8272, right_input=6270, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6270","layer":3},{"info":"compute unary expreesion, input=6270, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":2},{"info":"compute unary expreesion, input=1650, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1650","layer":1},{"info":"number node, value=1944","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=2032, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=7721","layer":3},{"info":"number node, value=5836","layer":4},{"info":"compute unary expreesion, input=5836, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7721, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7721","layer":2},{"info":"compute unary expreesion, input=7721, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-92731","layer":1},{"info":"compute binary expreesion, left_input=-1650, right_input=-92731, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(-(⩎⋉(⊺⇮8272∷⊺⇮6270)))⪢(⩷(⊺⇮1944⫯⪬∳⊺⇮2032⋝⋈⪟(⇨⊺⇮5836)))=NaN","reverse_text":"NaN=(-(⩎⋉(⊺⇮8272∷⊺⇮6270)))⪢(⩷(⊺⇮1944⫯⪬∳⊺⇮2032⋝⋈⪟(⇨⊺⇮5836)))","cot":[{"info":"⊺⇮8272∷⊺⇮6270=⊺⇮6270","layer":3},{"info":"⩎⋉⊺⇮6270=⊺⇮1650","layer":2},{"info":"-⊺⇮1650=⊺⇮-1650","layer":1},{"info":"⊺⇮1944⫯⪬∳⊺⇮2032=⊺⇮7721","layer":3},{"info":"⇨⊺⇮5836=⊺⇮0","layer":3},{"info":"⊺⇮7721⋝⋈⪟⊺⇮0=⊺⇮7721","layer":2},{"info":"⩷⊺⇮7721=⊺⇮-92731","layer":1},{"info":"⊺⇮-1650⪢⊺⇮-92731=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"($4217$⩺⪪$4152$)≄⊠($4660$≃⋄)≓∲($2755$⇯⋐)≭($1901$⩨$3134$)∙∹∝(⇜($3129$⊀⩕)≹⇙⪍($3473$⪓⨏))","expression":"(⊺⇮4217⩺⪪⊺⇮4152)≄⊠(⊺⇮4660≃⋄)≓∲(⊺⇮2755⇯⋐)≭(⊺⇮1901⩨⊺⇮3134)∙∹∝(⇜(⊺⇮3129⊀⩕)≹⇙⪍(⊺⇮3473⪓⨏))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18324,"operation_count":12,"complexity_ratio":1527.0,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4217,"base":10},"right_expr":{"type":"numeric_atoms","value":4152,"base":10}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":4660,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2755,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1901,"base":10},"right_expr":{"type":"numeric_atoms","value":3134,"base":10}}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":3129,"base":10}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":3473,"base":10}}}}},"used_operators":["HmxsFra2vL","s1XTVnmDOJ","vXNesLlMH1","uvdQJvN4PV","aN9a90urxU","rxpJgHHUmx","LkLIoiE525","2DlMacCsIx","lFBm8KRb8F","AHs5Up7iyr","r0FS3hW4cC","4X9JU4Jbn6"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","uFcxV4UQCh","jLgFTUHLKL","AHs5Up7iyr","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","dWAJyo7jo9","rGHVDoGpnC","nhYeJWJD5X","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4217","layer":4},{"info":"number node, value=4152","layer":4},{"info":"compute binary expreesion, left_input=4217, right_input=4152, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1938","layer":3},{"info":"number node, value=4660","layer":4},{"info":"compute unary expreesion, input=4660, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=-1938, right_input=764, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=2755","layer":4},{"info":"compute unary expreesion, input=2755, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=9143","layer":3},{"info":"number node, value=1901","layer":4},{"info":"number node, value=3134","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=3134, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=9143, right_input=-3, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"number node, value=3129","layer":4},{"info":"compute unary expreesion, input=3129, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=3473","layer":4},{"info":"compute unary expreesion, input=3473, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4217⩺⪪⊺⇮4152)≄⊠(⊺⇮4660≃⋄)≓∲(⊺⇮2755⇯⋐)≭(⊺⇮1901⩨⊺⇮3134)∙∹∝(⇜(⊺⇮3129⊀⩕)≹⇙⪍(⊺⇮3473⪓⨏))=NaN","reverse_text":"NaN=(⊺⇮4217⩺⪪⊺⇮4152)≄⊠(⊺⇮4660≃⋄)≓∲(⊺⇮2755⇯⋐)≭(⊺⇮1901⩨⊺⇮3134)∙∹∝(⇜(⊺⇮3129⊀⩕)≹⇙⪍(⊺⇮3473⪓⨏))","cot":[{"info":"⊺⇮4217⩺⪪⊺⇮4152=⊺⇮-1938","layer":3},{"info":"⊺⇮4660≃⋄=⊺⇮764","layer":3},{"info":"⊺⇮-1938≄⊠⊺⇮764=⊺⇮1500","layer":2},{"info":"⊺⇮2755⇯⋐=⊺⇮9143","layer":3},{"info":"⊺⇮1901⩨⊺⇮3134=⊺⇮-3","layer":3},{"info":"⊺⇮9143≭⊺⇮-3=NaN","layer":2},{"info":"⊺⇮1500≓∲NaN=NaN","layer":1},{"info":"⊺⇮3129⊀⩕=⊺⇮0","layer":3},{"info":"⊺⇮3473⪓⨏=NaN","layer":3},{"info":"⊺⇮0≹⇙⪍NaN=NaN","layer":2},{"info":"⇜NaN=NaN","layer":1},{"info":"NaN∙∹∝NaN=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"(($2432$⋆⋳)↙($1143$⩘⨬⇊))⇷((⨮↦↱$1337$)⩷∴$1024$⩌⋺$1010$)⇴(⇤←(↸⊣$1314$))⪚($3962$⪐)∺≝⩲($1315$⫘$3661$)","expression":"((⊺⇮2432⋆⋳)↙(⊺⇮1143⩘⨬⇊))⇷((⨮↦↱⊺⇮1337)⩷∴⊺⇮1024⩌⋺⊺⇮1010)⇴(⇤←(↸⊣⊺⇮1314))⪚(⊺⇮3962⪐)∺≝⩲(⊺⇮1315⫘⊺⇮3661)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":75904,"operation_count":14,"complexity_ratio":5421.714285714285,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2432,"base":10}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1143,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1337,"base":10}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1024,"base":10},"right_expr":{"type":"numeric_atoms","value":1010,"base":10}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1314,"base":10}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3962,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1315,"base":10},"right_expr":{"type":"numeric_atoms","value":3661,"base":10}}}}},"used_operators":["4JB6nKBMSY","mp7IySMOzn","yyfyN0ffXY","6MpZysEj17","XXmTpEpWTW","9FxExcQeMw","sYcpBQ0cFf","g7Hmc5v1ko","HrjLwUk87U","jfAgQ2OQeM","wztAlM01eG","KPf6cnQVty","eH2TOUuTDT","48vC8HMD2b"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","rysDP5nf3Z","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2432","layer":4},{"info":"compute unary expreesion, input=2432, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-4896","layer":3},{"info":"number node, value=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4896, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4896","layer":2},{"info":"number node, value=1337","layer":4},{"info":"compute unary expreesion, input=1337, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-2127147","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1010, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-2155","layer":3},{"info":"compute binary expreesion, left_input=-2127147, right_input=-2155, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4250016","layer":2},{"info":"compute binary expreesion, left_input=-4896, right_input=-4250016, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1314","layer":4},{"info":"compute unary expreesion, input=1314, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1027","layer":3},{"info":"compute unary expreesion, input=-1027, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1461","layer":2},{"info":"number node, value=3962","layer":4},{"info":"compute unary expreesion, input=3962, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7924","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=3661","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=3661, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1550845","layer":3},{"info":"compute binary expreesion, left_input=7924, right_input=1550845, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1461, right_input=160, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2246","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2246, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2432⋆⋳)↙(⊺⇮1143⩘⨬⇊))⇷((⨮↦↱⊺⇮1337)⩷∴⊺⇮1024⩌⋺⊺⇮1010)⇴(⇤←(↸⊣⊺⇮1314))⪚(⊺⇮3962⪐)∺≝⩲(⊺⇮1315⫘⊺⇮3661)=NaN","reverse_text":"NaN=((⊺⇮2432⋆⋳)↙(⊺⇮1143⩘⨬⇊))⇷((⨮↦↱⊺⇮1337)⩷∴⊺⇮1024⩌⋺⊺⇮1010)⇴(⇤←(↸⊣⊺⇮1314))⪚(⊺⇮3962⪐)∺≝⩲(⊺⇮1315⫘⊺⇮3661)","cot":[{"info":"⊺⇮2432⋆⋳=⊺⇮-4896","layer":3},{"info":"⊺⇮1143⩘⨬⇊=NaN","layer":3},{"info":"⊺⇮-4896↙NaN=⊺⇮-4896","layer":2},{"info":"⨮↦↱⊺⇮1337=⊺⇮-2127147","layer":3},{"info":"⊺⇮1024⩌⋺⊺⇮1010=⊺⇮-2155","layer":3},{"info":"⊺⇮-2127147⩷∴⊺⇮-2155=⊺⇮-4250016","layer":2},{"info":"⊺⇮-4896⇷⊺⇮-4250016=NaN","layer":1},{"info":"↸⊣⊺⇮1314=⊺⇮-1027","layer":3},{"info":"⇤←⊺⇮-1027=⊺⇮1461","layer":2},{"info":"⊺⇮3962⪐=⊺⇮7924","layer":3},{"info":"⊺⇮1315⫘⊺⇮3661=⊺⇮1550845","layer":3},{"info":"⊺⇮7924∺≝⩲⊺⇮1550845=⊺⇮160","layer":2},{"info":"⊺⇮1461⪚⊺⇮160=⊺⇮2246","layer":1},{"info":"NaN⇴⊺⇮2246=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"(⇖⫷⫕($1331$⊊))∥⊢⊲(∤$4984$↸$1086$)⪶≀⋏(⨰⫟⨤(⇘($5651$⇣⩺⋵$4704$)))","expression":"(⇖⫷⫕(⊺⇮1331⊊))∥⊢⊲(∤⊺⇮4984↸⊺⇮1086)⪶≀⋏(⨰⫟⨤(⇘(⊺⇮5651⇣⩺⋵⊺⇮4704)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4601262,"operation_count":9,"complexity_ratio":511251.3333333333,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1331,"base":10}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4984,"base":10},"right_expr":{"type":"numeric_atoms","value":1086,"base":10}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5651,"base":10},"right_expr":{"type":"numeric_atoms","value":4704,"base":10}}}}},"used_operators":["zR4jO40bMj","v1UQAVDJRr","UHmRx3INFg","W9R8I5fN5A","k2HlF1dBQh","1eCjFl0mb9","Tw270M8GLb","MGuIdZPyUC","F4yD0voBRQ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","EBcxylXtPf","rGHVDoGpnC","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":4},{"info":"compute unary expreesion, input=1331, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute unary expreesion, input=90927, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=4984","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=4984, right_input=1086, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4984","layer":3},{"info":"compute unary expreesion, input=4984, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=9, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"number node, value=5651","layer":4},{"info":"number node, value=4704","layer":4},{"info":"compute binary expreesion, left_input=5651, right_input=4704, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-2297681","layer":2},{"info":"compute unary expreesion, input=-2297681, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇖⫷⫕(⊺⇮1331⊊))∥⊢⊲(∤⊺⇮4984↸⊺⇮1086)⪶≀⋏(⨰⫟⨤(⇘(⊺⇮5651⇣⩺⋵⊺⇮4704)))=NaN","reverse_text":"NaN=(⇖⫷⫕(⊺⇮1331⊊))∥⊢⊲(∤⊺⇮4984↸⊺⇮1086)⪶≀⋏(⨰⫟⨤(⇘(⊺⇮5651⇣⩺⋵⊺⇮4704)))","cot":[{"info":"⊺⇮1331⊊=⊺⇮90927","layer":3},{"info":"⇖⫷⫕⊺⇮90927=⊺⇮2822","layer":2},{"info":"⊺⇮4984↸⊺⇮1086=⊺⇮4984","layer":3},{"info":"∤⊺⇮4984=⊺⇮9","layer":2},{"info":"⊺⇮2822∥⊢⊲⊺⇮9=⊺⇮0","layer":1},{"info":"⊺⇮5651⇣⩺⋵⊺⇮4704=⊺⇮-260","layer":3},{"info":"⇘⊺⇮-260=⊺⇮-2297681","layer":2},{"info":"⨰⫟⨤⊺⇮-2297681=NaN","layer":1},{"info":"⊺⇮0⪶≀⋏NaN=NaN","layer":0}]}
{"id":185,"expression_no_base_symbol":"∂⩏⊆$7186$⨜⨶$1193$≝⊿(≑⋹$1568$)⇴(⋎⨆$2973$⇣⩺⋵$5835$)","expression":"∂⩏⊆⊺⇮7186⨜⨶⊺⇮1193≝⊿(≑⋹⊺⇮1568)⇴(⋎⨆⊺⇮2973⇣⩺⋵⊺⇮5835)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":464,"operation_count":7,"complexity_ratio":66.28571428571429,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":7186,"base":10},"right_expr":{"type":"numeric_atoms","value":1193,"base":10}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1568,"base":10}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2973,"base":10},"right_expr":{"type":"numeric_atoms","value":5835,"base":10}}}}},"used_operators":["8WDwsbhb0R","4JB6nKBMSY","OKKcZfAt5B","HiPekx5b7W","6B9nyZLogK","E64sFOc4tB","F4yD0voBRQ"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","sdazOOVcIp","NTOWxs364D","COABgblf1C","12rbrZMWeM","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⊺⇮-49892779","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7186","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=7186, right_input=1193, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-2130","layer":3},{"info":"number node, value=1568","layer":4},{"info":"compute unary expreesion, input=1568, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-2130, right_input=1650, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-1703","layer":2},{"info":"number node, value=2973","layer":4},{"info":"number node, value=5835","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=5835, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-1703, right_input=8320752, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16630900","layer":1},{"info":"compute unary expreesion, input=16630900, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-49892779","layer":0}],"base":10,"result_base":10,"text":"∂⩏⊆⊺⇮7186⨜⨶⊺⇮1193≝⊿(≑⋹⊺⇮1568)⇴(⋎⨆⊺⇮2973⇣⩺⋵⊺⇮5835)=⊺⇮-49892779","reverse_text":"⊺⇮-49892779=∂⩏⊆⊺⇮7186⨜⨶⊺⇮1193≝⊿(≑⋹⊺⇮1568)⇴(⋎⨆⊺⇮2973⇣⩺⋵⊺⇮5835)","cot":[{"info":"⊺⇮7186⨜⨶⊺⇮1193=⊺⇮-2130","layer":3},{"info":"≑⋹⊺⇮1568=⊺⇮1650","layer":3},{"info":"⊺⇮-2130≝⊿⊺⇮1650=⊺⇮-1703","layer":2},{"info":"⊺⇮2973⇣⩺⋵⊺⇮5835=⊺⇮-260","layer":3},{"info":"⋎⨆⊺⇮-260=⊺⇮8320752","layer":2},{"info":"⊺⇮-1703⇴⊺⇮8320752=⊺⇮16630900","layer":1},{"info":"∂⩏⊆⊺⇮16630900=⊺⇮-49892779","layer":0}]}
{"id":186,"expression_no_base_symbol":"($1133$⪔⊥$3898$⫔⩽⩺($3265$⩱)∲⫓(⫟$4380$)⪥($1128$⪥$1370$))⪥(∂⩏⊆((⋠∜$6910$)⊪))","expression":"(⊺⇮1133⪔⊥⊺⇮3898⫔⩽⩺(⊺⇮3265⩱)∲⫓(⫟⊺⇮4380)⪥(⊺⇮1128⪥⊺⇮1370))⪥(∂⩏⊆((⋠∜⊺⇮6910)⊪))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":229,"operation_count":11,"complexity_ratio":20.818181818181817,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1133,"base":10},"right_expr":{"type":"numeric_atoms","value":3898,"base":10}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":3265,"base":10}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":4380,"base":10}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1128,"base":10},"right_expr":{"type":"numeric_atoms","value":1370,"base":10}}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":6910,"base":10}}}}},"used_operators":["QbnwKVWMIQ","i8ToyICDmI","i9eR4S00cU","HJ9erzHUuu","uyq1hVkAcj","z4E1FaHLuy","8WDwsbhb0R","zVYPLywUTj","ZJpFhNJr3x"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","14qkJME0vr","eLAdDNolq6","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"⊺⇮422","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":4},{"info":"number node, value=3898","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=3898, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3463","layer":3},{"info":"number node, value=3265","layer":4},{"info":"compute unary expreesion, input=3265, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-19840","layer":3},{"info":"compute binary expreesion, left_input=-3463, right_input=-19840, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=4380","layer":4},{"info":"compute unary expreesion, input=4380, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-12233","layer":3},{"info":"number node, value=1128","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=1370, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9164","layer":3},{"info":"compute binary expreesion, left_input=-12233, right_input=9164, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-91020","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-91020, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=6910","layer":4},{"info":"compute unary expreesion, input=6910, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=29924","layer":3},{"info":"compute unary expreesion, input=29924, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=484, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=422","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1133⪔⊥⊺⇮3898⫔⩽⩺(⊺⇮3265⩱)∲⫓(⫟⊺⇮4380)⪥(⊺⇮1128⪥⊺⇮1370))⪥(∂⩏⊆((⋠∜⊺⇮6910)⊪))=⊺⇮422","reverse_text":"⊺⇮422=(⊺⇮1133⪔⊥⊺⇮3898⫔⩽⩺(⊺⇮3265⩱)∲⫓(⫟⊺⇮4380)⪥(⊺⇮1128⪥⊺⇮1370))⪥(∂⩏⊆((⋠∜⊺⇮6910)⊪))","cot":[{"info":"⊺⇮1133⪔⊥⊺⇮3898=⊺⇮-3463","layer":3},{"info":"⊺⇮3265⩱=⊺⇮-19840","layer":3},{"info":"⊺⇮-3463⫔⩽⩺⊺⇮-19840=NaN","layer":2},{"info":"⫟⊺⇮4380=⊺⇮-12233","layer":3},{"info":"⊺⇮1128⪥⊺⇮1370=⊺⇮9164","layer":3},{"info":"⊺⇮-12233⪥⊺⇮9164=⊺⇮-91020","layer":2},{"info":"NaN∲⫓⊺⇮-91020=NaN","layer":1},{"info":"⋠∜⊺⇮6910=⊺⇮29924","layer":3},{"info":"⊺⇮29924⊪=⊺⇮0","layer":2},{"info":"∂⩏⊆⊺⇮0=⊺⇮484","layer":1},{"info":"NaN⪥⊺⇮484=⊺⇮422","layer":0}]}
{"id":187,"expression_no_base_symbol":"(→⩰($1001$⨚⇆$3082$)⩦$3371$⊮⊟↴$2001$)↳∿⪆(($2725$⊚⫡⫭)⪚($1171$⨔≚≋$4340$))∓⋝(⇖$2948$↳≱$6792$)","expression":"(→⩰(⊺⇮1001⨚⇆⊺⇮3082)⩦⊺⇮3371⊮⊟↴⊺⇮2001)↳∿⪆((⊺⇮2725⊚⫡⫭)⪚(⊺⇮1171⨔≚≋⊺⇮4340))∓⋝(⇖⊺⇮2948↳≱⊺⇮6792)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9925,"operation_count":11,"complexity_ratio":902.2727272727273,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":3082,"base":10}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3371,"base":10},"right_expr":{"type":"numeric_atoms","value":2001,"base":10}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":2725,"base":10}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1171,"base":10},"right_expr":{"type":"numeric_atoms","value":4340,"base":10}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2948,"base":10},"right_expr":{"type":"numeric_atoms","value":6792,"base":10}}}}},"used_operators":["Cw4SuJJGHO","o8Pngz0Tml","0kmYd0q39Y","lwHaAYXP2r","QDVgd2eftb","PoHhknlbAi","HrjLwUk87U","SpZWOsLKZJ","Z57zeUYC9z","tfWHHpNKUN","JwTKLfZU96"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2DQ55sFlQl","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=3082","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3082, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3371","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=3371, right_input=2001, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=2725","layer":4},{"info":"compute unary expreesion, input=2725, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-4524","layer":3},{"info":"number node, value=1171","layer":4},{"info":"number node, value=4340","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=4340, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-4524, right_input=9872, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=8172","layer":2},{"info":"number node, value=2948","layer":4},{"info":"number node, value=6792","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=6792, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=8172, right_input=160, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-4154","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4154, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(→⩰(⊺⇮1001⨚⇆⊺⇮3082)⩦⊺⇮3371⊮⊟↴⊺⇮2001)↳∿⪆((⊺⇮2725⊚⫡⫭)⪚(⊺⇮1171⨔≚≋⊺⇮4340))∓⋝(⇖⊺⇮2948↳≱⊺⇮6792)=NaN","reverse_text":"NaN=(→⩰(⊺⇮1001⨚⇆⊺⇮3082)⩦⊺⇮3371⊮⊟↴⊺⇮2001)↳∿⪆((⊺⇮2725⊚⫡⫭)⪚(⊺⇮1171⨔≚≋⊺⇮4340))∓⋝(⇖⊺⇮2948↳≱⊺⇮6792)","cot":[{"info":"⊺⇮1001⨚⇆⊺⇮3082=NaN","layer":3},{"info":"⊺⇮3371⊮⊟↴⊺⇮2001=⊺⇮0","layer":3},{"info":"NaN⩦⊺⇮0=NaN","layer":2},{"info":"→⩰NaN=NaN","layer":1},{"info":"⊺⇮2725⊚⫡⫭=⊺⇮-4524","layer":3},{"info":"⊺⇮1171⨔≚≋⊺⇮4340=⊺⇮9872","layer":3},{"info":"⊺⇮-4524⪚⊺⇮9872=⊺⇮8172","layer":2},{"info":"⊺⇮2948↳≱⊺⇮6792=⊺⇮0","layer":3},{"info":"⇖⊺⇮0=⊺⇮160","layer":2},{"info":"⊺⇮8172∓⋝⊺⇮160=⊺⇮-4154","layer":1},{"info":"NaN↳∿⪆⊺⇮-4154=NaN","layer":0}]}
{"id":188,"expression_no_base_symbol":"(⩩($1011$⪭$5199$))⇴∐($1419$⩘$1558$)⊱⇼⊻($7321$⫦⪉$2284$)⪇≇⋚(⫓⪴(⇋↷($2379$⇴∐$1690$)))","expression":"(⩩(⊺⇮1011⪭⊺⇮5199))⇴∐(⊺⇮1419⩘⊺⇮1558)⊱⇼⊻(⊺⇮7321⫦⪉⊺⇮2284)⪇≇⋚(⫓⪴(⇋↷(⊺⇮2379⇴∐⊺⇮1690)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1170,"operation_count":10,"complexity_ratio":117.0,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1011,"base":10},"right_expr":{"type":"numeric_atoms","value":5199,"base":10}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1419,"base":10},"right_expr":{"type":"numeric_atoms","value":1558,"base":10}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7321,"base":10},"right_expr":{"type":"numeric_atoms","value":2284,"base":10}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2379,"base":10},"right_expr":{"type":"numeric_atoms","value":1690,"base":10}}}}},"used_operators":["3sJ7IOPOlU","HnzytWxmAO","kMhfGuqI2H","j9kHMeSvPp","FyVja0WsTP","cHh1gJQ2o6","wscyQdcy20","eLxqMNBOBk","SWo3A1KBJH"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9HNa5Wba9A","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=5199","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=5199, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1419","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1558, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=7321","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=7321, right_input=2284, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-9742","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-9742, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=3442","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3442, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=2379","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=1690, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩩(⊺⇮1011⪭⊺⇮5199))⇴∐(⊺⇮1419⩘⊺⇮1558)⊱⇼⊻(⊺⇮7321⫦⪉⊺⇮2284)⪇≇⋚(⫓⪴(⇋↷(⊺⇮2379⇴∐⊺⇮1690)))=NaN","reverse_text":"NaN=(⩩(⊺⇮1011⪭⊺⇮5199))⇴∐(⊺⇮1419⩘⊺⇮1558)⊱⇼⊻(⊺⇮7321⫦⪉⊺⇮2284)⪇≇⋚(⫓⪴(⇋↷(⊺⇮2379⇴∐⊺⇮1690)))","cot":[{"info":"⊺⇮1011⪭⊺⇮5199=⊺⇮5","layer":3},{"info":"⩩⊺⇮5=NaN","layer":2},{"info":"⊺⇮1419⩘⊺⇮1558=⊺⇮160","layer":3},{"info":"⊺⇮7321⫦⪉⊺⇮2284=⊺⇮-9742","layer":3},{"info":"⊺⇮160⊱⇼⊻⊺⇮-9742=⊺⇮3442","layer":2},{"info":"NaN⇴∐⊺⇮3442=NaN","layer":1},{"info":"⊺⇮2379⇴∐⊺⇮1690=NaN","layer":3},{"info":"⇋↷NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN⪇≇⋚NaN=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"(⋠∜$2125$∺≝⩲$2046$)⇴($1026$⋓$2821$)⫯⪬∳($1208$⪒⊣⊆$4847$)⨔≚≋(($1835$⫃⨇$6213$)⪚$3550$⋹⋡⊁$2093$∠↢(⇠(⊿$2288$)))","expression":"(⋠∜⊺⇮2125∺≝⩲⊺⇮2046)⇴(⊺⇮1026⋓⊺⇮2821)⫯⪬∳(⊺⇮1208⪒⊣⊆⊺⇮4847)⨔≚≋((⊺⇮1835⫃⨇⊺⇮6213)⪚⊺⇮3550⋹⋡⊁⊺⇮2093∠↢(⇠(⊿⊺⇮2288)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":62722,"operation_count":13,"complexity_ratio":4824.7692307692305,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2125,"base":10},"right_expr":{"type":"numeric_atoms","value":2046,"base":10}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1026,"base":10},"right_expr":{"type":"numeric_atoms","value":2821,"base":10}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1208,"base":10},"right_expr":{"type":"numeric_atoms","value":4847,"base":10}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1835,"base":10},"right_expr":{"type":"numeric_atoms","value":6213,"base":10}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3550,"base":10},"right_expr":{"type":"numeric_atoms","value":2093,"base":10}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":2288,"base":10}}}}},"used_operators":["Z57zeUYC9z","4JB6nKBMSY","ZJpFhNJr3x","KPf6cnQVty","d7ASUq0ydm","T2fj7uvVaJ","eRqsBgTDFp","KbjG8mgYpV","HrjLwUk87U","09Ly4LVMIf","As8RqfVLgs","18saOjeKKm","DO4fhlbJSI"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","COABgblf1C","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"⊺⇮9872","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2125","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=2046, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2924","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=2821","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2821, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1208","layer":4},{"info":"number node, value=4847","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=4847, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2416","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2416, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=2924, right_input=-473, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16212","layer":1},{"info":"number node, value=1835","layer":4},{"info":"number node, value=6213","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=6213, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-24884","layer":3},{"info":"number node, value=3550","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=3550, right_input=2093, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2843","layer":3},{"info":"compute binary expreesion, left_input=-24884, right_input=2843, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=48892","layer":2},{"info":"number node, value=2288","layer":4},{"info":"compute unary expreesion, input=2288, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-9890","layer":3},{"info":"compute unary expreesion, input=-9890, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=48892, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-194486","layer":1},{"info":"compute binary expreesion, left_input=16212, right_input=-194486, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":10,"result_base":10,"text":"(⋠∜⊺⇮2125∺≝⩲⊺⇮2046)⇴(⊺⇮1026⋓⊺⇮2821)⫯⪬∳(⊺⇮1208⪒⊣⊆⊺⇮4847)⨔≚≋((⊺⇮1835⫃⨇⊺⇮6213)⪚⊺⇮3550⋹⋡⊁⊺⇮2093∠↢(⇠(⊿⊺⇮2288)))=⊺⇮9872","reverse_text":"⊺⇮9872=(⋠∜⊺⇮2125∺≝⩲⊺⇮2046)⇴(⊺⇮1026⋓⊺⇮2821)⫯⪬∳(⊺⇮1208⪒⊣⊆⊺⇮4847)⨔≚≋((⊺⇮1835⫃⨇⊺⇮6213)⪚⊺⇮3550⋹⋡⊁⊺⇮2093∠↢(⇠(⊿⊺⇮2288)))","cot":[{"info":"⊺⇮2125∺≝⩲⊺⇮2046=⊺⇮160","layer":3},{"info":"⋠∜⊺⇮160=⊺⇮2924","layer":2},{"info":"⊺⇮1026⋓⊺⇮2821=⊺⇮0","layer":3},{"info":"⊺⇮1208⪒⊣⊆⊺⇮4847=⊺⇮2416","layer":3},{"info":"⊺⇮0⫯⪬∳⊺⇮2416=⊺⇮-473","layer":2},{"info":"⊺⇮2924⇴⊺⇮-473=⊺⇮16212","layer":1},{"info":"⊺⇮1835⫃⨇⊺⇮6213=⊺⇮-24884","layer":3},{"info":"⊺⇮3550⋹⋡⊁⊺⇮2093=⊺⇮2843","layer":3},{"info":"⊺⇮-24884⪚⊺⇮2843=⊺⇮48892","layer":2},{"info":"⊿⊺⇮2288=⊺⇮-9890","layer":3},{"info":"⇠⊺⇮-9890=⊺⇮0","layer":2},{"info":"⊺⇮48892∠↢⊺⇮0=⊺⇮-194486","layer":1},{"info":"⊺⇮16212⨔≚≋⊺⇮-194486=⊺⇮9872","layer":0}]}
{"id":190,"expression_no_base_symbol":"(⨵(($3575$/$2210$)≴⪞⇿(∨∊⋏$1587$)))⩺⪪(⊽(↣≠⋷($1040$⊨$7117$)))","expression":"(⨵((⊺⇮3575/⊺⇮2210)≴⪞⇿(∨∊⋏⊺⇮1587)))⩺⪪(⊽(↣≠⋷(⊺⇮1040⊨⊺⇮7117)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":309,"operation_count":8,"complexity_ratio":38.625,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3575,"base":10},"right_expr":{"type":"numeric_atoms","value":2210,"base":10}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1587,"base":10}}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1040,"base":10},"right_expr":{"type":"numeric_atoms","value":7117,"base":10}}}}},"used_operators":["uvdQJvN4PV","Tl3Y52tvF8","lvlrscuwVU","XhwjNDsVaA","R5aXW34M0v","QxG7OkqoLX","Asc51vEJeQ","vg4gO5BX6G"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","XhwjNDsVaA","AHs5Up7iyr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3575","layer":4},{"info":"number node, value=2210","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=2210, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1587","layer":4},{"info":"compute unary expreesion, input=1587, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=24887","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=24887, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-4488","layer":2},{"info":"compute unary expreesion, input=-4488, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=110567","layer":1},{"info":"number node, value=1040","layer":4},{"info":"number node, value=7117","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=7117, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5191","layer":3},{"info":"compute unary expreesion, input=5191, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=110567, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨵((⊺⇮3575/⊺⇮2210)≴⪞⇿(∨∊⋏⊺⇮1587)))⩺⪪(⊽(↣≠⋷(⊺⇮1040⊨⊺⇮7117)))=NaN","reverse_text":"NaN=(⨵((⊺⇮3575/⊺⇮2210)≴⪞⇿(∨∊⋏⊺⇮1587)))⩺⪪(⊽(↣≠⋷(⊺⇮1040⊨⊺⇮7117)))","cot":[{"info":"⊺⇮3575/⊺⇮2210=⊺⇮1","layer":3},{"info":"∨∊⋏⊺⇮1587=⊺⇮24887","layer":3},{"info":"⊺⇮1≴⪞⇿⊺⇮24887=⊺⇮-4488","layer":2},{"info":"⨵⊺⇮-4488=⊺⇮110567","layer":1},{"info":"⊺⇮1040⊨⊺⇮7117=⊺⇮5191","layer":3},{"info":"↣≠⋷⊺⇮5191=NaN","layer":2},{"info":"⊽NaN=NaN","layer":1},{"info":"⊺⇮110567⩺⪪NaN=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"(≻⋜(($6394$↱$5251$)∙⊟$5407$∥⊢⊲$1614$))≳⇉(($1175$⊟⇱)⨐⩸⫘($6845$/$2019$))→⨶⪴(($4238$⋾⨃∁$3426$)⨝⩣∺)","expression":"(≻⋜((⊺⇮6394↱⊺⇮5251)∙⊟⊺⇮5407∥⊢⊲⊺⇮1614))≳⇉((⊺⇮1175⊟⇱)⨐⩸⫘(⊺⇮6845/⊺⇮2019))→⨶⪴((⊺⇮4238⋾⨃∁⊺⇮3426)⨝⩣∺)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1176209,"operation_count":11,"complexity_ratio":106928.09090909091,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6394,"base":10},"right_expr":{"type":"numeric_atoms","value":5251,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5407,"base":10},"right_expr":{"type":"numeric_atoms","value":1614,"base":10}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":1175,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6845,"base":10},"right_expr":{"type":"numeric_atoms","value":2019,"base":10}}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4238,"base":10},"right_expr":{"type":"numeric_atoms","value":3426,"base":10}}}}},"used_operators":["V0kx6qeWkN","3tj9sqzovi","SxTAKzQCrw","SR5kFfdi6N","v1UQAVDJRr","bF6eod5Gvf","fu6greOZ01","03sUfWo75k","XhwjNDsVaA","ancx8kZcWl","212REbPD9h"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","EBcxylXtPf","rGHVDoGpnC","8w2t5hMYqp","9FxExcQeMw","3ViojmjbAp","IWmyXbctLI","rysDP5nf3Z","DZ8iAZOCBD","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6394","layer":4},{"info":"number node, value=5251","layer":4},{"info":"compute binary expreesion, left_input=6394, right_input=5251, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-15231","layer":3},{"info":"number node, value=5407","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=5407, right_input=1614, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15231, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=213747","layer":2},{"info":"compute unary expreesion, input=213747, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=1175","layer":4},{"info":"compute unary expreesion, input=1175, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=2666","layer":3},{"info":"number node, value=6845","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=6845, right_input=2019, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=2666, right_input=3, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-6","layer":2},{"info":"number node, value=4238","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=4238, right_input=3426, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=117333554","layer":3},{"info":"compute unary expreesion, input=117333554, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-234667108","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=-234667108, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=469334172","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=469334172, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≻⋜((⊺⇮6394↱⊺⇮5251)∙⊟⊺⇮5407∥⊢⊲⊺⇮1614))≳⇉((⊺⇮1175⊟⇱)⨐⩸⫘(⊺⇮6845/⊺⇮2019))→⨶⪴((⊺⇮4238⋾⨃∁⊺⇮3426)⨝⩣∺)=NaN","reverse_text":"NaN=(≻⋜((⊺⇮6394↱⊺⇮5251)∙⊟⊺⇮5407∥⊢⊲⊺⇮1614))≳⇉((⊺⇮1175⊟⇱)⨐⩸⫘(⊺⇮6845/⊺⇮2019))→⨶⪴((⊺⇮4238⋾⨃∁⊺⇮3426)⨝⩣∺)","cot":[{"info":"⊺⇮6394↱⊺⇮5251=⊺⇮-15231","layer":3},{"info":"⊺⇮5407∥⊢⊲⊺⇮1614=NaN","layer":3},{"info":"⊺⇮-15231∙⊟NaN=⊺⇮213747","layer":2},{"info":"≻⋜⊺⇮213747=NaN","layer":1},{"info":"⊺⇮1175⊟⇱=⊺⇮2666","layer":3},{"info":"⊺⇮6845/⊺⇮2019=⊺⇮3","layer":3},{"info":"⊺⇮2666⨐⩸⫘⊺⇮3=⊺⇮-6","layer":2},{"info":"⊺⇮4238⋾⨃∁⊺⇮3426=⊺⇮117333554","layer":3},{"info":"⊺⇮117333554⨝⩣∺=⊺⇮-234667108","layer":2},{"info":"⊺⇮-6→⨶⪴⊺⇮-234667108=⊺⇮469334172","layer":1},{"info":"NaN≳⇉⊺⇮469334172=NaN","layer":0}]}
{"id":192,"expression_no_base_symbol":"((↑$1301$)⩘$4774$∺≝⩲$1733$)∺≝⩲(⊤⊝$9011$⨒$4958$)⫡⨏(≋(($3986$⨳⩥⨓$1127$)≎⊠⪸($1325$⊨$1506$)))","expression":"((↑⊺⇮1301)⩘⊺⇮4774∺≝⩲⊺⇮1733)∺≝⩲(⊤⊝⊺⇮9011⨒⊺⇮4958)⫡⨏(≋((⊺⇮3986⨳⩥⨓⊺⇮1127)≎⊠⪸(⊺⇮1325⊨⊺⇮1506)))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":475,"operation_count":11,"complexity_ratio":43.18181818181818,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1301,"base":10}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4774,"base":10},"right_expr":{"type":"numeric_atoms","value":1733,"base":10}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":9011,"base":10},"right_expr":{"type":"numeric_atoms","value":4958,"base":10}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3986,"base":10},"right_expr":{"type":"numeric_atoms","value":1127,"base":10}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1325,"base":10},"right_expr":{"type":"numeric_atoms","value":1506,"base":10}}}}},"used_operators":["QMFrweE19q","KPf6cnQVty","cHh1gJQ2o6","tR7O2zTn5j","rXAclfmB4M","y75s1iXyHd","61wBmkZwlr","bJkvcejdHO","nCS4ZIUYfx","vg4gO5BX6G"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","sdazOOVcIp","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","7j4O788W3g","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⊺⇮1482545","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=4774","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=4774, right_input=1733, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=160, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=9011","layer":4},{"info":"number node, value=4958","layer":4},{"info":"compute binary expreesion, left_input=9011, right_input=4958, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-53694","layer":3},{"info":"compute unary expreesion, input=-53694, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-108686","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-108686, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=3986","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=1127, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2859","layer":3},{"info":"number node, value=1325","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=1506, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6331","layer":3},{"info":"compute binary expreesion, left_input=-2859, right_input=6331, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=740481","layer":2},{"info":"compute unary expreesion, input=740481, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=740481","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=740481, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=1482545","layer":0}],"base":10,"result_base":10,"text":"((↑⊺⇮1301)⩘⊺⇮4774∺≝⩲⊺⇮1733)∺≝⩲(⊤⊝⊺⇮9011⨒⊺⇮4958)⫡⨏(≋((⊺⇮3986⨳⩥⨓⊺⇮1127)≎⊠⪸(⊺⇮1325⊨⊺⇮1506)))=⊺⇮1482545","reverse_text":"⊺⇮1482545=((↑⊺⇮1301)⩘⊺⇮4774∺≝⩲⊺⇮1733)∺≝⩲(⊤⊝⊺⇮9011⨒⊺⇮4958)⫡⨏(≋((⊺⇮3986⨳⩥⨓⊺⇮1127)≎⊠⪸(⊺⇮1325⊨⊺⇮1506)))","cot":[{"info":"↑⊺⇮1301=⊺⇮192","layer":3},{"info":"⊺⇮4774∺≝⩲⊺⇮1733=⊺⇮160","layer":3},{"info":"⊺⇮192⩘⊺⇮160=⊺⇮160","layer":2},{"info":"⊺⇮9011⨒⊺⇮4958=⊺⇮-53694","layer":3},{"info":"⊤⊝⊺⇮-53694=⊺⇮-108686","layer":2},{"info":"⊺⇮160∺≝⩲⊺⇮-108686=⊺⇮160","layer":1},{"info":"⊺⇮3986⨳⩥⨓⊺⇮1127=⊺⇮-2859","layer":3},{"info":"⊺⇮1325⊨⊺⇮1506=⊺⇮6331","layer":3},{"info":"⊺⇮-2859≎⊠⪸⊺⇮6331=⊺⇮740481","layer":2},{"info":"≋⊺⇮740481=⊺⇮740481","layer":1},{"info":"⊺⇮160⫡⨏⊺⇮740481=⊺⇮1482545","layer":0}]}
{"id":193,"expression_no_base_symbol":"(⪹($1455$⇷$1136$)⩘($5987$⪨⊡$1879$))≓∲((⋗⩴⪓$2988$⨿$2340$)↪⪝)","expression":"(⪹(⊺⇮1455⇷⊺⇮1136)⩘(⊺⇮5987⪨⊡⊺⇮1879))≓∲((⋗⩴⪓⊺⇮2988⨿⊺⇮2340)↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21487,"operation_count":8,"complexity_ratio":2685.875,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1455,"base":10},"right_expr":{"type":"numeric_atoms","value":1136,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5987,"base":10},"right_expr":{"type":"numeric_atoms","value":1879,"base":10}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2988,"base":10},"right_expr":{"type":"numeric_atoms","value":2340,"base":10}}}}},"used_operators":["s1XTVnmDOJ","USyYr0JgAa","cHh1gJQ2o6","mp7IySMOzn","kuIXHzHcAH","l07mrZUIn9","nOKPl9n5zu","abYXlopdE0"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","tifHPKVTfV","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","2DDjHMKMc0","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⊺⇮983","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1455","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=1136, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2272","layer":3},{"info":"number node, value=5987","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=5987, right_input=1879, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2272, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=20","layer":1},{"info":"number node, value=2988","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=2988, right_input=2340, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=3896","layer":2},{"info":"compute unary expreesion, input=3896, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=238365072","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=238365072, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=983","layer":0}],"base":10,"result_base":10,"text":"(⪹(⊺⇮1455⇷⊺⇮1136)⩘(⊺⇮5987⪨⊡⊺⇮1879))≓∲((⋗⩴⪓⊺⇮2988⨿⊺⇮2340)↪⪝)=⊺⇮983","reverse_text":"⊺⇮983=(⪹(⊺⇮1455⇷⊺⇮1136)⩘(⊺⇮5987⪨⊡⊺⇮1879))≓∲((⋗⩴⪓⊺⇮2988⨿⊺⇮2340)↪⪝)","cot":[{"info":"⊺⇮1455⇷⊺⇮1136=⊺⇮2272","layer":3},{"info":"⊺⇮5987⪨⊡⊺⇮1879=⊺⇮0","layer":3},{"info":"⊺⇮2272⩘⊺⇮0=⊺⇮160","layer":2},{"info":"⪹⊺⇮160=⊺⇮20","layer":1},{"info":"⊺⇮2988⨿⊺⇮2340=⊺⇮-319","layer":3},{"info":"⋗⩴⪓⊺⇮-319=⊺⇮3896","layer":2},{"info":"⊺⇮3896↪⪝=⊺⇮238365072","layer":1},{"info":"⊺⇮20≓∲⊺⇮238365072=⊺⇮983","layer":0}]}
{"id":194,"expression_no_base_symbol":"(≛$2875$⊮⊟↴$2795$)⫉⨲⊜($1328$⨔≚≋$2196$⩟)*($1886$⨔⇊$1216$⩵∡(⊄⩳↩$2198$))⋾⨃∁(⊖($1166$⪠⩆⊳))","expression":"(≛⊺⇮2875⊮⊟↴⊺⇮2795)⫉⨲⊜(⊺⇮1328⨔≚≋⊺⇮2196⩟)*(⊺⇮1886⨔⇊⊺⇮1216⩵∡(⊄⩳↩⊺⇮2198))⋾⨃∁(⊖(⊺⇮1166⪠⩆⊳))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":355,"operation_count":12,"complexity_ratio":29.583333333333332,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2875,"base":10},"right_expr":{"type":"numeric_atoms","value":2795,"base":10}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1328,"base":10},"right_expr":{"type":"numeric_atoms","value":2196,"base":10}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1886,"base":10},"right_expr":{"type":"numeric_atoms","value":1216,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2198,"base":10}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1166,"base":10}}}}},"used_operators":["9HNa5Wba9A","WhqkvtTD3t","W7eaUhjymW","QDVgd2eftb","fOIeswaMU4","Z57zeUYC9z","212REbPD9h","Y7wcNGrDQJ","JclMnS0uGI","8w2t5hMYqp","U6pG0PXrV3","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-14036960","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2875","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=2795, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-237","layer":2},{"info":"number node, value=1328","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=2196, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-87621","layer":2},{"info":"compute binary expreesion, left_input=-237, right_input=-87621, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-87731","layer":1},{"info":"number node, value=1886","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=1216, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1216","layer":3},{"info":"number node, value=2198","layer":4},{"info":"compute unary expreesion, input=2198, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6594","layer":3},{"info":"compute binary expreesion, left_input=1216, right_input=-6594, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-9147","layer":2},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-9147, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-87731, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-14036960","layer":0}],"base":10,"result_base":10,"text":"(≛⊺⇮2875⊮⊟↴⊺⇮2795)⫉⨲⊜(⊺⇮1328⨔≚≋⊺⇮2196⩟)*(⊺⇮1886⨔⇊⊺⇮1216⩵∡(⊄⩳↩⊺⇮2198))⋾⨃∁(⊖(⊺⇮1166⪠⩆⊳))=⊺⇮-14036960","reverse_text":"⊺⇮-14036960=(≛⊺⇮2875⊮⊟↴⊺⇮2795)⫉⨲⊜(⊺⇮1328⨔≚≋⊺⇮2196⩟)*(⊺⇮1886⨔⇊⊺⇮1216⩵∡(⊄⩳↩⊺⇮2198))⋾⨃∁(⊖(⊺⇮1166⪠⩆⊳))","cot":[{"info":"⊺⇮2875⊮⊟↴⊺⇮2795=⊺⇮0","layer":3},{"info":"≛⊺⇮0=⊺⇮-237","layer":2},{"info":"⊺⇮1328⨔≚≋⊺⇮2196=⊺⇮9872","layer":3},{"info":"⊺⇮9872⩟=⊺⇮-87621","layer":2},{"info":"⊺⇮-237⫉⨲⊜⊺⇮-87621=⊺⇮-87731","layer":1},{"info":"⊺⇮1886⨔⇊⊺⇮1216=⊺⇮1216","layer":3},{"info":"⊄⩳↩⊺⇮2198=⊺⇮-6594","layer":3},{"info":"⊺⇮1216⩵∡⊺⇮-6594=⊺⇮-9147","layer":2},{"info":"⊺⇮1166⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊖⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-9147⋾⨃∁⊺⇮0=⊺⇮160","layer":1},{"info":"⊺⇮-87731*⊺⇮160=⊺⇮-14036960","layer":0}]}
{"id":195,"expression_no_base_symbol":"(($8382$⊋≦⊧$2095$)+⪬∐($3528$⩌⋺$1170$))⪃⊛⇣((⇾⩊⇾$4322$)⫌⩉⩟$1458$∼$2312$)⋓((($5551$⩘$8025$)⩘$1291$⫣⪄⊒$2542$)≃⋄)","expression":"((⊺⇮8382⊋≦⊧⊺⇮2095)+⪬∐(⊺⇮3528⩌⋺⊺⇮1170))⪃⊛⇣((⇾⩊⇾⊺⇮4322)⫌⩉⩟⊺⇮1458∼⊺⇮2312)⋓(((⊺⇮5551⩘⊺⇮8025)⩘⊺⇮1291⫣⪄⊒⊺⇮2542)≃⋄)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1392,"operation_count":12,"complexity_ratio":116.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":8382,"base":10},"right_expr":{"type":"numeric_atoms","value":2095,"base":10}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3528,"base":10},"right_expr":{"type":"numeric_atoms","value":1170,"base":10}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4322,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1458,"base":10},"right_expr":{"type":"numeric_atoms","value":2312,"base":10}}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5551,"base":10},"right_expr":{"type":"numeric_atoms","value":8025,"base":10}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1291,"base":10},"right_expr":{"type":"numeric_atoms","value":2542,"base":10}}}}},"used_operators":["T2fj7uvVaJ","rrgAzCduG9","2GS7woTJqF","oRDoc9rAEX","g7Hmc5v1ko","XIIwhv8d0m","bx9Z9DAK5y","DyGG3AbaNP","aN9a90urxU","cHh1gJQ2o6","RabNbG55vr"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","g55IO6H4Gj","D4vGDi5EA2","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","uFcxV4UQCh","jLgFTUHLKL","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8382","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=8382, right_input=2095, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3950","layer":3},{"info":"number node, value=3528","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=1170, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4819","layer":3},{"info":"compute binary expreesion, left_input=-3950, right_input=-4819, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=11850","layer":2},{"info":"number node, value=4322","layer":4},{"info":"compute unary expreesion, input=4322, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-45384","layer":3},{"info":"number node, value=1458","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=2312, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-45384, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=11850, right_input=-50, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=5551","layer":4},{"info":"number node, value=8025","layer":4},{"info":"compute binary expreesion, left_input=5551, right_input=8025, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=2542, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-13182","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-13182, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=2044","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=2044, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮8382⊋≦⊧⊺⇮2095)+⪬∐(⊺⇮3528⩌⋺⊺⇮1170))⪃⊛⇣((⇾⩊⇾⊺⇮4322)⫌⩉⩟⊺⇮1458∼⊺⇮2312)⋓(((⊺⇮5551⩘⊺⇮8025)⩘⊺⇮1291⫣⪄⊒⊺⇮2542)≃⋄)=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮8382⊋≦⊧⊺⇮2095)+⪬∐(⊺⇮3528⩌⋺⊺⇮1170))⪃⊛⇣((⇾⩊⇾⊺⇮4322)⫌⩉⩟⊺⇮1458∼⊺⇮2312)⋓(((⊺⇮5551⩘⊺⇮8025)⩘⊺⇮1291⫣⪄⊒⊺⇮2542)≃⋄)","cot":[{"info":"⊺⇮8382⊋≦⊧⊺⇮2095=⊺⇮-3950","layer":3},{"info":"⊺⇮3528⩌⋺⊺⇮1170=⊺⇮-4819","layer":3},{"info":"⊺⇮-3950+⪬∐⊺⇮-4819=⊺⇮11850","layer":2},{"info":"⇾⩊⇾⊺⇮4322=⊺⇮-45384","layer":3},{"info":"⊺⇮1458∼⊺⇮2312=NaN","layer":3},{"info":"⊺⇮-45384⫌⩉⩟NaN=⊺⇮-50","layer":2},{"info":"⊺⇮11850⪃⊛⇣⊺⇮-50=⊺⇮1234","layer":1},{"info":"⊺⇮5551⩘⊺⇮8025=⊺⇮160","layer":3},{"info":"⊺⇮1291⫣⪄⊒⊺⇮2542=⊺⇮-13182","layer":3},{"info":"⊺⇮160⩘⊺⇮-13182=⊺⇮160","layer":2},{"info":"⊺⇮160≃⋄=⊺⇮2044","layer":1},{"info":"⊺⇮1234⋓⊺⇮2044=⊺⇮0","layer":0}]}
{"id":196,"expression_no_base_symbol":"(($4840$⫃⨇$1033$)∛$3222$≁$2700$)⪪((↩⪖$1033$)≑≱⪘)↸(((⫎≠⋺$3611$)⊨$5545$⨓$1034$)⪣⫩)","expression":"((⊺⇮4840⫃⨇⊺⇮1033)∛⊺⇮3222≁⊺⇮2700)⪪((↩⪖⊺⇮1033)≑≱⪘)↸(((⫎≠⋺⊺⇮3611)⊨⊺⇮5545⨓⊺⇮1034)⪣⫩)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2646,"operation_count":11,"complexity_ratio":240.54545454545453,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4840,"base":10},"right_expr":{"type":"numeric_atoms","value":1033,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3222,"base":10},"right_expr":{"type":"numeric_atoms","value":2700,"base":10}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1033,"base":10}}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":3611,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5545,"base":10},"right_expr":{"type":"numeric_atoms","value":1034,"base":10}}}}},"used_operators":["1eCjFl0mb9","xD69zh8xqp","w2537kitQq","09Ly4LVMIf","8N2wDY1A35","tGSeddj7UK","fG6uBQFnGz","iuk5sVOGFA","vg4gO5BX6G","LYeZOJ0nQG","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","FU0Cs4j7VP","JclMnS0uGI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮-6206","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4840","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=4840, right_input=1033, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4164","layer":3},{"info":"number node, value=3222","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=2700, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=51599","layer":3},{"info":"compute binary expreesion, left_input=-4164, right_input=51599, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-9180","layer":3},{"info":"compute unary expreesion, input=-9180, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=245492","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=245492, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"number node, value=3611","layer":4},{"info":"compute unary expreesion, input=3611, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=5545","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=5545, right_input=1034, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1037","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1037, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":1},{"info":"compute binary expreesion, left_input=-6206, right_input=913, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-6206","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4840⫃⨇⊺⇮1033)∛⊺⇮3222≁⊺⇮2700)⪪((↩⪖⊺⇮1033)≑≱⪘)↸(((⫎≠⋺⊺⇮3611)⊨⊺⇮5545⨓⊺⇮1034)⪣⫩)=⊺⇮-6206","reverse_text":"⊺⇮-6206=((⊺⇮4840⫃⨇⊺⇮1033)∛⊺⇮3222≁⊺⇮2700)⪪((↩⪖⊺⇮1033)≑≱⪘)↸(((⫎≠⋺⊺⇮3611)⊨⊺⇮5545⨓⊺⇮1034)⪣⫩)","cot":[{"info":"⊺⇮4840⫃⨇⊺⇮1033=⊺⇮-4164","layer":3},{"info":"⊺⇮3222≁⊺⇮2700=⊺⇮51599","layer":3},{"info":"⊺⇮-4164∛⊺⇮51599=⊺⇮-676","layer":2},{"info":"↩⪖⊺⇮1033=⊺⇮-9180","layer":3},{"info":"⊺⇮-9180≑≱⪘=⊺⇮245492","layer":2},{"info":"⊺⇮-676⪪⊺⇮245492=⊺⇮-6206","layer":1},{"info":"⫎≠⋺⊺⇮3611=⊺⇮0","layer":3},{"info":"⊺⇮5545⨓⊺⇮1034=⊺⇮-1037","layer":3},{"info":"⊺⇮0⊨⊺⇮-1037=⊺⇮-174","layer":2},{"info":"⊺⇮-174⪣⫩=⊺⇮913","layer":1},{"info":"⊺⇮-6206↸⊺⇮913=⊺⇮-6206","layer":0}]}
{"id":197,"expression_no_base_symbol":"(($5968$⫢⨠$2221$)∓⋝($4953$⋣⋖$2428$))∺≝⩲((⇤←$2294$)∀⋜↑)⋾⨃∁((⨴⫝$6972$)⨚⇆$1999$⪮%⊝$5567$∙∹∝($5358$⫣⪄⊒$2723$)⫞⩸⩒($1371$⨔⇊$1727$))","expression":"((⊺⇮5968⫢⨠⊺⇮2221)∓⋝(⊺⇮4953⋣⋖⊺⇮2428))∺≝⩲((⇤←⊺⇮2294)∀⋜↑)⋾⨃∁((⨴⫝⊺⇮6972)⨚⇆⊺⇮1999⪮%⊝⊺⇮5567∙∹∝(⊺⇮5358⫣⪄⊒⊺⇮2723)⫞⩸⩒(⊺⇮1371⨔⇊⊺⇮1727))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2089,"operation_count":14,"complexity_ratio":149.21428571428572,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5968,"base":10},"right_expr":{"type":"numeric_atoms","value":2221,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4953,"base":10},"right_expr":{"type":"numeric_atoms","value":2428,"base":10}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2294,"base":10}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":6972,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1999,"base":10},"right_expr":{"type":"numeric_atoms","value":5567,"base":10}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5358,"base":10},"right_expr":{"type":"numeric_atoms","value":2723,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1371,"base":10},"right_expr":{"type":"numeric_atoms","value":1727,"base":10}}}}},"used_operators":["212REbPD9h","KPf6cnQVty","PoHhknlbAi","xlXykHWxX1","J0M6qkBnIM","KipPnG1M2J","jfAgQ2OQeM","HmxsFra2vL","lwHaAYXP2r","SVb2v531z1","IWmyXbctLI","XGcMNugi78","RabNbG55vr","JclMnS0uGI"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5968","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=5968, right_input=2221, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=4953","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=4953, right_input=2428, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4953","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4953, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=2294","layer":4},{"info":"compute unary expreesion, input=2294, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-10104","layer":3},{"info":"compute unary expreesion, input=-10104, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-30796","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-30796, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=6972","layer":4},{"info":"compute unary expreesion, input=6972, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=1999","layer":4},{"info":"number node, value=5567","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=5567, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4314","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=4314, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=5358","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=5358, right_input=2723, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6134","layer":3},{"info":"number node, value=1371","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=1727, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1727","layer":3},{"info":"compute binary expreesion, left_input=-6134, right_input=1727, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-6134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6134, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5968⫢⨠⊺⇮2221)∓⋝(⊺⇮4953⋣⋖⊺⇮2428))∺≝⩲((⇤←⊺⇮2294)∀⋜↑)⋾⨃∁((⨴⫝⊺⇮6972)⨚⇆⊺⇮1999⪮%⊝⊺⇮5567∙∹∝(⊺⇮5358⫣⪄⊒⊺⇮2723)⫞⩸⩒(⊺⇮1371⨔⇊⊺⇮1727))=NaN","reverse_text":"NaN=((⊺⇮5968⫢⨠⊺⇮2221)∓⋝(⊺⇮4953⋣⋖⊺⇮2428))∺≝⩲((⇤←⊺⇮2294)∀⋜↑)⋾⨃∁((⨴⫝⊺⇮6972)⨚⇆⊺⇮1999⪮%⊝⊺⇮5567∙∹∝(⊺⇮5358⫣⪄⊒⊺⇮2723)⫞⩸⩒(⊺⇮1371⨔⇊⊺⇮1727))","cot":[{"info":"⊺⇮5968⫢⨠⊺⇮2221=⊺⇮160","layer":3},{"info":"⊺⇮4953⋣⋖⊺⇮2428=⊺⇮4953","layer":3},{"info":"⊺⇮160∓⋝⊺⇮4953=⊺⇮67","layer":2},{"info":"⇤←⊺⇮2294=⊺⇮-10104","layer":3},{"info":"⊺⇮-10104∀⋜↑=⊺⇮-30796","layer":2},{"info":"⊺⇮67∺≝⩲⊺⇮-30796=⊺⇮160","layer":1},{"info":"⨴⫝⊺⇮6972=⊺⇮2828198","layer":3},{"info":"⊺⇮1999⪮%⊝⊺⇮5567=⊺⇮4314","layer":3},{"info":"⊺⇮2828198⨚⇆⊺⇮4314=NaN","layer":2},{"info":"⊺⇮5358⫣⪄⊒⊺⇮2723=⊺⇮-6134","layer":3},{"info":"⊺⇮1371⨔⇊⊺⇮1727=⊺⇮1727","layer":3},{"info":"⊺⇮-6134⫞⩸⩒⊺⇮1727=⊺⇮-6134","layer":2},{"info":"NaN∙∹∝⊺⇮-6134=NaN","layer":1},{"info":"⊺⇮160⋾⨃∁NaN=NaN","layer":0}]}
{"id":198,"expression_no_base_symbol":"(($3363$⨫⇇↔$5532$↙$1856$⪮%⊝$1558$)≭($2432$+⪬∐$2135$⪎⩰))≎⪠(($5997$↬⩅∪)⪝($2141$⨚⇆$1119$)↡⊰⫅(∐⩳⋚$5866$)⫸⇳$4771$⊴$2743$)","expression":"((⊺⇮3363⨫⇇↔⊺⇮5532↙⊺⇮1856⪮%⊝⊺⇮1558)≭(⊺⇮2432+⪬∐⊺⇮2135⪎⩰))≎⪠((⊺⇮5997↬⩅∪)⪝(⊺⇮2141⨚⇆⊺⇮1119)↡⊰⫅(∐⩳⋚⊺⇮5866)⫸⇳⊺⇮4771⊴⊺⇮2743)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":38158,"operation_count":14,"complexity_ratio":2725.5714285714284,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3363,"base":10},"right_expr":{"type":"numeric_atoms","value":5532,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1856,"base":10},"right_expr":{"type":"numeric_atoms","value":1558,"base":10}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2432,"base":10},"right_expr":{"type":"numeric_atoms","value":2135,"base":10}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":5997,"base":10}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2141,"base":10},"right_expr":{"type":"numeric_atoms","value":1119,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":5866,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4771,"base":10},"right_expr":{"type":"numeric_atoms","value":2743,"base":10}}}}},"used_operators":["aNhz54LH3e","rxpJgHHUmx","yyfyN0ffXY","LXhwmt4mBO","IWmyXbctLI","2ufhKmSs5H","2GS7woTJqF","VCtxkLNOzz","wicAB68Tmb","VJ330n2nnx","lwHaAYXP2r","gx7XJ7hdpj","SL6IHkK8vl","Nsiff2A1zJ"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","dWAJyo7jo9","14qkJME0vr"],"result":"⊺⇮19558","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3363","layer":4},{"info":"number node, value=5532","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=5532, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1856","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=1558, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4028","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=4028, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-527","layer":2},{"info":"number node, value=2432","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=2135, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7296","layer":3},{"info":"compute unary expreesion, input=-7296, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-158401","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-158401, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=5997","layer":4},{"info":"compute unary expreesion, input=5997, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-17991","layer":3},{"info":"number node, value=2141","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=1119, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-17991, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=5866","layer":4},{"info":"compute unary expreesion, input=5866, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=867383","layer":3},{"info":"number node, value=4771","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=4771, right_input=2743, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=867383, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3363⨫⇇↔⊺⇮5532↙⊺⇮1856⪮%⊝⊺⇮1558)≭(⊺⇮2432+⪬∐⊺⇮2135⪎⩰))≎⪠((⊺⇮5997↬⩅∪)⪝(⊺⇮2141⨚⇆⊺⇮1119)↡⊰⫅(∐⩳⋚⊺⇮5866)⫸⇳⊺⇮4771⊴⊺⇮2743)=⊺⇮19558","reverse_text":"⊺⇮19558=((⊺⇮3363⨫⇇↔⊺⇮5532↙⊺⇮1856⪮%⊝⊺⇮1558)≭(⊺⇮2432+⪬∐⊺⇮2135⪎⩰))≎⪠((⊺⇮5997↬⩅∪)⪝(⊺⇮2141⨚⇆⊺⇮1119)↡⊰⫅(∐⩳⋚⊺⇮5866)⫸⇳⊺⇮4771⊴⊺⇮2743)","cot":[{"info":"⊺⇮3363⨫⇇↔⊺⇮5532=⊺⇮-527","layer":3},{"info":"⊺⇮1856⪮%⊝⊺⇮1558=⊺⇮4028","layer":3},{"info":"⊺⇮-527↙⊺⇮4028=⊺⇮-527","layer":2},{"info":"⊺⇮2432+⪬∐⊺⇮2135=⊺⇮-7296","layer":3},{"info":"⊺⇮-7296⪎⩰=⊺⇮-158401","layer":2},{"info":"⊺⇮-527≭⊺⇮-158401=NaN","layer":1},{"info":"⊺⇮5997↬⩅∪=⊺⇮-17991","layer":3},{"info":"⊺⇮2141⨚⇆⊺⇮1119=NaN","layer":3},{"info":"⊺⇮-17991⪝NaN=NaN","layer":2},{"info":"∐⩳⋚⊺⇮5866=⊺⇮867383","layer":3},{"info":"⊺⇮4771⊴⊺⇮2743=NaN","layer":3},{"info":"⊺⇮867383⫸⇳NaN=⊺⇮0","layer":2},{"info":"NaN↡⊰⫅⊺⇮0=⊺⇮0","layer":1},{"info":"NaN≎⪠⊺⇮0=⊺⇮19558","layer":0}]}
{"id":199,"expression_no_base_symbol":"⇘((⨂⪏⇭($1381$⫢⨠$2130$))⨔≚≋($2484$⫳≱↱$1588$)↬$3144$⇡⇂$1108$)","expression":"⇘((⨂⪏⇭(⊺⇮1381⫢⨠⊺⇮2130))⨔≚≋(⊺⇮2484⫳≱↱⊺⇮1588)↬⊺⇮3144⇡⇂⊺⇮1108)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7382,"operation_count":7,"complexity_ratio":1054.5714285714287,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1381,"base":10},"right_expr":{"type":"numeric_atoms","value":2130,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2484,"base":10},"right_expr":{"type":"numeric_atoms","value":1588,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3144,"base":10},"right_expr":{"type":"numeric_atoms","value":1108,"base":10}}}}},"used_operators":["MGuIdZPyUC","Z57zeUYC9z","AYdpE9sXAk","xlXykHWxX1","B5M0gjZbta","ZvLB05nZmT","UMwdvZNt44"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rGHVDoGpnC","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1381","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=2130, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-499","layer":2},{"info":"number node, value=2484","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=1588, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3144","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=1108, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-499, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇘((⨂⪏⇭(⊺⇮1381⫢⨠⊺⇮2130))⨔≚≋(⊺⇮2484⫳≱↱⊺⇮1588)↬⊺⇮3144⇡⇂⊺⇮1108)=NaN","reverse_text":"NaN=⇘((⨂⪏⇭(⊺⇮1381⫢⨠⊺⇮2130))⨔≚≋(⊺⇮2484⫳≱↱⊺⇮1588)↬⊺⇮3144⇡⇂⊺⇮1108)","cot":[{"info":"⊺⇮1381⫢⨠⊺⇮2130=⊺⇮160","layer":3},{"info":"⨂⪏⇭⊺⇮160=⊺⇮-499","layer":2},{"info":"⊺⇮2484⫳≱↱⊺⇮1588=⊺⇮-204","layer":3},{"info":"⊺⇮3144⇡⇂⊺⇮1108=NaN","layer":3},{"info":"⊺⇮-204↬NaN=NaN","layer":2},{"info":"⊺⇮-499⨔≚≋NaN=NaN","layer":1},{"info":"⇘NaN=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"(($2359$≎⊠⪸$1219$)≫≃)⨼⩣(($1736$⨸⪁$2165$)→⨶⪴($1653$⨵⪆$5218$))⪕((≦∁($1166$⨎⋸⪻))∷)","expression":"((⊺⇮2359≎⊠⪸⊺⇮1219)≫≃)⨼⩣((⊺⇮1736⨸⪁⊺⇮2165)→⨶⪴(⊺⇮1653⨵⪆⊺⇮5218))⪕((≦∁(⊺⇮1166⨎⋸⪻))∷)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6316,"operation_count":10,"complexity_ratio":631.6,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2359,"base":10},"right_expr":{"type":"numeric_atoms","value":1219,"base":10}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1736,"base":10},"right_expr":{"type":"numeric_atoms","value":2165,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1653,"base":10},"right_expr":{"type":"numeric_atoms","value":5218,"base":10}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1166,"base":10}}}}},"used_operators":["umQnsF7QlU","JxwMv5le6e","X99M06cbEe","bJkvcejdHO","bF6eod5Gvf","g55IO6H4Gj","2DQ55sFlQl","nFAOW8KTqp","9ICcGScMcE","Dk5vyLCiGd"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2359","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=1219, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=610508","layer":3},{"info":"compute unary expreesion, input=610508, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1222417","layer":2},{"info":"number node, value=1736","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=2165, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7802","layer":3},{"info":"number node, value=1653","layer":4},{"info":"number node, value=5218","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=5218, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=7802, right_input=160, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=1222417, right_input=-480, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2648","layer":3},{"info":"compute unary expreesion, input=2648, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2648","layer":2},{"info":"compute unary expreesion, input=2648, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=7944","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7944, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2359≎⊠⪸⊺⇮1219)≫≃)⨼⩣((⊺⇮1736⨸⪁⊺⇮2165)→⨶⪴(⊺⇮1653⨵⪆⊺⇮5218))⪕((≦∁(⊺⇮1166⨎⋸⪻))∷)=NaN","reverse_text":"NaN=((⊺⇮2359≎⊠⪸⊺⇮1219)≫≃)⨼⩣((⊺⇮1736⨸⪁⊺⇮2165)→⨶⪴(⊺⇮1653⨵⪆⊺⇮5218))⪕((≦∁(⊺⇮1166⨎⋸⪻))∷)","cot":[{"info":"⊺⇮2359≎⊠⪸⊺⇮1219=⊺⇮610508","layer":3},{"info":"⊺⇮610508≫≃=⊺⇮1222417","layer":2},{"info":"⊺⇮1736⨸⪁⊺⇮2165=⊺⇮7802","layer":3},{"info":"⊺⇮1653⨵⪆⊺⇮5218=⊺⇮160","layer":3},{"info":"⊺⇮7802→⨶⪴⊺⇮160=⊺⇮-480","layer":2},{"info":"⊺⇮1222417⨼⩣⊺⇮-480=NaN","layer":1},{"info":"⊺⇮1166⨎⋸⪻=⊺⇮2648","layer":3},{"info":"≦∁⊺⇮2648=⊺⇮2648","layer":2},{"info":"⊺⇮2648∷=⊺⇮7944","layer":1},{"info":"NaN⪕⊺⇮7944=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"((⨵$2695$)+⪬∐($1160$⪚$1479$)⨻⩈⩔($2185$∴≳≥)∌$2235$↤⩊$5740$)∴≳≥","expression":"((⨵⊺⇮2695)+⪬∐(⊺⇮1160⪚⊺⇮1479)⨻⩈⩔(⊺⇮2185∴≳≥)∌⊺⇮2235↤⩊⊺⇮5740)∴≳≥","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":349,"operation_count":8,"complexity_ratio":43.625,"tree":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2695,"base":10}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1160,"base":10},"right_expr":{"type":"numeric_atoms","value":1479,"base":10}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":2185,"base":10}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2235,"base":10},"right_expr":{"type":"numeric_atoms","value":5740,"base":10}}}}},"used_operators":["a3N2hFLK0J","nEsXyWgiOK","2GS7woTJqF","Tl3Y52tvF8","HrjLwUk87U","8cLx32lpNA","13rbtpv6ld"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","g55IO6H4Gj","D4vGDi5EA2","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"⊺⇮2152220","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2695","layer":4},{"info":"compute unary expreesion, input=2695, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-22769","layer":3},{"info":"number node, value=1160","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=1479, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-994","layer":3},{"info":"compute binary expreesion, left_input=-22769, right_input=-994, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=68307","layer":2},{"info":"number node, value=2185","layer":4},{"info":"compute unary expreesion, input=2185, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=8740","layer":3},{"info":"number node, value=2235","layer":4},{"info":"number node, value=5740","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=5740, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8740, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=68307, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=538055","layer":1},{"info":"compute unary expreesion, input=538055, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=2152220","layer":0}],"base":10,"result_base":10,"text":"((⨵⊺⇮2695)+⪬∐(⊺⇮1160⪚⊺⇮1479)⨻⩈⩔(⊺⇮2185∴≳≥)∌⊺⇮2235↤⩊⊺⇮5740)∴≳≥=⊺⇮2152220","reverse_text":"⊺⇮2152220=((⨵⊺⇮2695)+⪬∐(⊺⇮1160⪚⊺⇮1479)⨻⩈⩔(⊺⇮2185∴≳≥)∌⊺⇮2235↤⩊⊺⇮5740)∴≳≥","cot":[{"info":"⨵⊺⇮2695=⊺⇮-22769","layer":3},{"info":"⊺⇮1160⪚⊺⇮1479=⊺⇮-994","layer":3},{"info":"⊺⇮-22769+⪬∐⊺⇮-994=⊺⇮68307","layer":2},{"info":"⊺⇮2185∴≳≥=⊺⇮8740","layer":3},{"info":"⊺⇮2235↤⩊⊺⇮5740=NaN","layer":3},{"info":"⊺⇮8740∌NaN=NaN","layer":2},{"info":"⊺⇮68307⨻⩈⩔NaN=⊺⇮538055","layer":1},{"info":"⊺⇮538055∴≳≥=⊺⇮2152220","layer":0}]}
{"id":202,"expression_no_base_symbol":"(↥$2226$∳⫺$2246$≳⇉$5360$⇍⊗$4528$)⇔⨋","expression":"(↥⊺⇮2226∳⫺⊺⇮2246≳⇉⊺⇮5360⇍⊗⊺⇮4528)⇔⨋","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":877611,"operation_count":5,"complexity_ratio":175522.2,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2226,"base":10},"right_expr":{"type":"numeric_atoms","value":2246,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5360,"base":10},"right_expr":{"type":"numeric_atoms","value":4528,"base":10}}}}},"used_operators":["uBihLCJcMX","A8NUZmVepG","V0kx6qeWkN","AzXXKTstlj","5uvYHDjeKN"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","k8jYdgA6NY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2226","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=2246, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=5360","layer":4},{"info":"number node, value=4528","layer":4},{"info":"compute binary expreesion, left_input=5360, right_input=4528, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-244, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↥⊺⇮2226∳⫺⊺⇮2246≳⇉⊺⇮5360⇍⊗⊺⇮4528)⇔⨋=NaN","reverse_text":"NaN=(↥⊺⇮2226∳⫺⊺⇮2246≳⇉⊺⇮5360⇍⊗⊺⇮4528)⇔⨋","cot":[{"info":"⊺⇮2226∳⫺⊺⇮2246=⊺⇮-260","layer":3},{"info":"⊺⇮5360⇍⊗⊺⇮4528=⊺⇮-244","layer":3},{"info":"⊺⇮-260≳⇉⊺⇮-244=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN⇔⨋=NaN","layer":0}]}
{"id":203,"expression_no_base_symbol":"(⨝⨆($1365$↺$2165$)⫞⩸⩒($3244$≄⊠$3623$))∙⊟(⪸($3144$≹⇙⪍$1655$⩧⪆$2245$⫁⪎$3226$))","expression":"(⨝⨆(⊺⇮1365↺⊺⇮2165)⫞⩸⩒(⊺⇮3244≄⊠⊺⇮3623))∙⊟(⪸(⊺⇮3144≹⇙⪍⊺⇮1655⩧⪆⊺⇮2245⫁⪎⊺⇮3226))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":62615,"operation_count":9,"complexity_ratio":6957.222222222223,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1365,"base":10},"right_expr":{"type":"numeric_atoms","value":2165,"base":10}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3244,"base":10},"right_expr":{"type":"numeric_atoms","value":3623,"base":10}}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3144,"base":10},"right_expr":{"type":"numeric_atoms","value":1655,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2245,"base":10},"right_expr":{"type":"numeric_atoms","value":3226,"base":10}}}}},"used_operators":["SxTAKzQCrw","bQ67fsrMVf","XGcMNugi78","7j4O788W3g","vXNesLlMH1","86A5ENbKR9","Ikt5ks8PT7","AHs5Up7iyr","xRrnTEsQ6j"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","tifHPKVTfV","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⊺⇮821397","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=2165, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2165","layer":3},{"info":"number node, value=3244","layer":4},{"info":"number node, value=3623","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=3623, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=62636","layer":3},{"info":"compute binary expreesion, left_input=2165, right_input=62636, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=62636","layer":2},{"info":"compute unary expreesion, input=62636, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=62427","layer":1},{"info":"number node, value=3144","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=1655, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2245","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=3226, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-981","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-981, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=981","layer":2},{"info":"compute unary expreesion, input=981, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-16468","layer":1},{"info":"compute binary expreesion, left_input=62427, right_input=-16468, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=821397","layer":0}],"base":10,"result_base":10,"text":"(⨝⨆(⊺⇮1365↺⊺⇮2165)⫞⩸⩒(⊺⇮3244≄⊠⊺⇮3623))∙⊟(⪸(⊺⇮3144≹⇙⪍⊺⇮1655⩧⪆⊺⇮2245⫁⪎⊺⇮3226))=⊺⇮821397","reverse_text":"⊺⇮821397=(⨝⨆(⊺⇮1365↺⊺⇮2165)⫞⩸⩒(⊺⇮3244≄⊠⊺⇮3623))∙⊟(⪸(⊺⇮3144≹⇙⪍⊺⇮1655⩧⪆⊺⇮2245⫁⪎⊺⇮3226))","cot":[{"info":"⊺⇮1365↺⊺⇮2165=⊺⇮2165","layer":3},{"info":"⊺⇮3244≄⊠⊺⇮3623=⊺⇮62636","layer":3},{"info":"⊺⇮2165⫞⩸⩒⊺⇮62636=⊺⇮62636","layer":2},{"info":"⨝⨆⊺⇮62636=⊺⇮62427","layer":1},{"info":"⊺⇮3144≹⇙⪍⊺⇮1655=NaN","layer":3},{"info":"⊺⇮2245⫁⪎⊺⇮3226=⊺⇮-981","layer":3},{"info":"NaN⩧⪆⊺⇮-981=⊺⇮981","layer":2},{"info":"⪸⊺⇮981=⊺⇮-16468","layer":1},{"info":"⊺⇮62427∙⊟⊺⇮-16468=⊺⇮821397","layer":0}]}
{"id":204,"expression_no_base_symbol":"($3154$⊉≛↸$1319$)⨜⨶($1215$⫘$2041$)⪢(($2267$⨕⋳)⩹$2782$⫉⨲⊜$1270$)⨓(((∐⩳⋚$5713$)%($2189$⋐⇩⊬))⪗)","expression":"(⊺⇮3154⊉≛↸⊺⇮1319)⨜⨶(⊺⇮1215⫘⊺⇮2041)⪢((⊺⇮2267⨕⋳)⩹⊺⇮2782⫉⨲⊜⊺⇮1270)⨓(((∐⩳⋚⊺⇮5713)%(⊺⇮2189⋐⇩⊬))⪗)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1436796,"operation_count":12,"complexity_ratio":119733.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3154,"base":10},"right_expr":{"type":"numeric_atoms","value":1319,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1215,"base":10},"right_expr":{"type":"numeric_atoms","value":2041,"base":10}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":2267,"base":10}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2782,"base":10},"right_expr":{"type":"numeric_atoms","value":1270,"base":10}}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":5713,"base":10}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":2189,"base":10}}}}},"used_operators":["3ViojmjbAp","dWAJyo7jo9","HiPekx5b7W","DZ8iAZOCBD","48vC8HMD2b","2Wsdkap16l","4X4GscPmMf","WhqkvtTD3t","VEQNXA0ZBg","k8jYdgA6NY","SL6IHkK8vl","JuuLT1NoCs"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","eewbuw0ToL","zVYPLywUTj","dWAJyo7jo9","rysDP5nf3Z","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3154","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=3154, right_input=1319, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6308","layer":3},{"info":"number node, value=1215","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=2041, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1433245","layer":3},{"info":"compute binary expreesion, left_input=6308, right_input=1433245, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-2866234","layer":2},{"info":"number node, value=2267","layer":4},{"info":"compute unary expreesion, input=2267, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=119124","layer":3},{"info":"number node, value=2782","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=1270, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=119124, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=-2866234, right_input=-2, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5713","layer":4},{"info":"compute unary expreesion, input=5713, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=844280","layer":3},{"info":"number node, value=2189","layer":4},{"info":"compute unary expreesion, input=2189, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2189","layer":3},{"info":"compute binary expreesion, left_input=844280, right_input=2189, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1515","layer":2},{"info":"compute unary expreesion, input=1515, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3154⊉≛↸⊺⇮1319)⨜⨶(⊺⇮1215⫘⊺⇮2041)⪢((⊺⇮2267⨕⋳)⩹⊺⇮2782⫉⨲⊜⊺⇮1270)⨓(((∐⩳⋚⊺⇮5713)%(⊺⇮2189⋐⇩⊬))⪗)=NaN","reverse_text":"NaN=(⊺⇮3154⊉≛↸⊺⇮1319)⨜⨶(⊺⇮1215⫘⊺⇮2041)⪢((⊺⇮2267⨕⋳)⩹⊺⇮2782⫉⨲⊜⊺⇮1270)⨓(((∐⩳⋚⊺⇮5713)%(⊺⇮2189⋐⇩⊬))⪗)","cot":[{"info":"⊺⇮3154⊉≛↸⊺⇮1319=⊺⇮6308","layer":3},{"info":"⊺⇮1215⫘⊺⇮2041=⊺⇮1433245","layer":3},{"info":"⊺⇮6308⨜⨶⊺⇮1433245=⊺⇮-2866234","layer":2},{"info":"⊺⇮2267⨕⋳=⊺⇮119124","layer":3},{"info":"⊺⇮2782⫉⨲⊜⊺⇮1270=⊺⇮0","layer":3},{"info":"⊺⇮119124⩹⊺⇮0=⊺⇮-2","layer":2},{"info":"⊺⇮-2866234⪢⊺⇮-2=NaN","layer":1},{"info":"∐⩳⋚⊺⇮5713=⊺⇮844280","layer":3},{"info":"⊺⇮2189⋐⇩⊬=⊺⇮2189","layer":3},{"info":"⊺⇮844280%⊺⇮2189=⊺⇮1515","layer":2},{"info":"⊺⇮1515⪗=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":205,"expression_no_base_symbol":"($2365$↸$2505$∙∹∝$2293$≎⪠$1324$)⫞⩸⩒($2150$⊹∫⫚$1701$⊾⪯⋞($2286$⊾⪯⋞$2826$))⫣⪄⊒($3151$⊮⊟↴$6717$≭$1615$⊬⨰$1113$⫃⨇$1004$⨽∌$1399$⋝⋈⪟$1697$⊔$4842$)","expression":"(⊺⇮2365↸⊺⇮2505∙∹∝⊺⇮2293≎⪠⊺⇮1324)⫞⩸⩒(⊺⇮2150⊹∫⫚⊺⇮1701⊾⪯⋞(⊺⇮2286⊾⪯⋞⊺⇮2826))⫣⪄⊒(⊺⇮3151⊮⊟↴⊺⇮6717≭⊺⇮1615⊬⨰⊺⇮1113⫃⨇⊺⇮1004⨽∌⊺⇮1399⋝⋈⪟⊺⇮1697⊔⊺⇮4842)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21827,"operation_count":15,"complexity_ratio":1455.1333333333334,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2365,"base":10},"right_expr":{"type":"numeric_atoms","value":2505,"base":10}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2293,"base":10},"right_expr":{"type":"numeric_atoms","value":1324,"base":10}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2150,"base":10},"right_expr":{"type":"numeric_atoms","value":1701,"base":10}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2286,"base":10},"right_expr":{"type":"numeric_atoms","value":2826,"base":10}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3151,"base":10},"right_expr":{"type":"numeric_atoms","value":6717,"base":10}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1615,"base":10},"right_expr":{"type":"numeric_atoms","value":1113,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1004,"base":10},"right_expr":{"type":"numeric_atoms","value":1399,"base":10}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1697,"base":10},"right_expr":{"type":"numeric_atoms","value":4842,"base":10}}}}},"used_operators":["RabNbG55vr","XGcMNugi78","HmxsFra2vL","1eCjFl0mb9","aNhz54LH3e","HK0tfVPux8","uWAJUKEvyW","09Ly4LVMIf","rxpJgHHUmx","QDVgd2eftb","s3Fd5m9Dh2","2DDjHMKMc0","9samAPKr6k","E4l6HwMY31"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","AHs5Up7iyr","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2365","layer":4},{"info":"number node, value=2505","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=2505, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2365","layer":3},{"info":"number node, value=2293","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=1324, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=2365, right_input=19558, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2150","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=1701, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-324","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=2826, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5226","layer":3},{"info":"compute binary expreesion, left_input=-324, right_input=5226, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=10026","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=10026, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=10026","layer":1},{"info":"number node, value=3151","layer":4},{"info":"number node, value=6717","layer":4},{"info":"compute binary expreesion, left_input=3151, right_input=6717, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1615","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=1113, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5011","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5011, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1399, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1697","layer":4},{"info":"number node, value=4842","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=4842, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=25204","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=25204, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=10026, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2365↸⊺⇮2505∙∹∝⊺⇮2293≎⪠⊺⇮1324)⫞⩸⩒(⊺⇮2150⊹∫⫚⊺⇮1701⊾⪯⋞(⊺⇮2286⊾⪯⋞⊺⇮2826))⫣⪄⊒(⊺⇮3151⊮⊟↴⊺⇮6717≭⊺⇮1615⊬⨰⊺⇮1113⫃⨇⊺⇮1004⨽∌⊺⇮1399⋝⋈⪟⊺⇮1697⊔⊺⇮4842)=⊺⇮160","reverse_text":"⊺⇮160=(⊺⇮2365↸⊺⇮2505∙∹∝⊺⇮2293≎⪠⊺⇮1324)⫞⩸⩒(⊺⇮2150⊹∫⫚⊺⇮1701⊾⪯⋞(⊺⇮2286⊾⪯⋞⊺⇮2826))⫣⪄⊒(⊺⇮3151⊮⊟↴⊺⇮6717≭⊺⇮1615⊬⨰⊺⇮1113⫃⨇⊺⇮1004⨽∌⊺⇮1399⋝⋈⪟⊺⇮1697⊔⊺⇮4842)","cot":[{"info":"⊺⇮2365↸⊺⇮2505=⊺⇮2365","layer":3},{"info":"⊺⇮2293≎⪠⊺⇮1324=⊺⇮19558","layer":3},{"info":"⊺⇮2365∙∹∝⊺⇮19558=⊺⇮0","layer":2},{"info":"⊺⇮2150⊹∫⫚⊺⇮1701=⊺⇮-324","layer":3},{"info":"⊺⇮2286⊾⪯⋞⊺⇮2826=⊺⇮5226","layer":3},{"info":"⊺⇮-324⊾⪯⋞⊺⇮5226=⊺⇮10026","layer":2},{"info":"⊺⇮0⫞⩸⩒⊺⇮10026=⊺⇮10026","layer":1},{"info":"⊺⇮3151⊮⊟↴⊺⇮6717=⊺⇮0","layer":3},{"info":"⊺⇮1615⊬⨰⊺⇮1113=⊺⇮5011","layer":3},{"info":"⊺⇮0≭⊺⇮5011=NaN","layer":2},{"info":"⊺⇮1004⨽∌⊺⇮1399=⊺⇮0","layer":3},{"info":"⊺⇮1697⊔⊺⇮4842=⊺⇮25204","layer":3},{"info":"⊺⇮0⋝⋈⪟⊺⇮25204=⊺⇮0","layer":2},{"info":"NaN⫃⨇⊺⇮0=NaN","layer":1},{"info":"⊺⇮10026⫣⪄⊒NaN=⊺⇮160","layer":0}]}
{"id":206,"expression_no_base_symbol":"((($2810$⪢$3620$)⨀⨒)⇗⋫)⋛(($1390$⫯⪬∳$6185$⨭⪣($3137$≓∲$4080$))↼⊘⨖(⩦⩻⨪(⨴⫝$1442$)))","expression":"(((⊺⇮2810⪢⊺⇮3620)⨀⨒)⇗⋫)⋛((⊺⇮1390⫯⪬∳⊺⇮6185⨭⪣(⊺⇮3137≓∲⊺⇮4080))↼⊘⨖(⩦⩻⨪(⨴⫝⊺⇮1442)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5844,"operation_count":10,"complexity_ratio":584.4,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2810,"base":10},"right_expr":{"type":"numeric_atoms","value":3620,"base":10}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1390,"base":10},"right_expr":{"type":"numeric_atoms","value":6185,"base":10}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3137,"base":10},"right_expr":{"type":"numeric_atoms","value":4080,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1442,"base":10}}}}},"used_operators":["YbUVn0Rbpy","hpqmaQFPrd","j6NVkjMzuk","dWAJyo7jo9","bPywburJMS","kn8WO9XteQ","d7ASUq0ydm","s1XTVnmDOJ","2td37pGCOC","SVb2v531z1"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rxpJgHHUmx","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","k8jYdgA6NY","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2810","layer":4},{"info":"number node, value=3620","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=3620, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"number node, value=1390","layer":4},{"info":"number node, value=6185","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=6185, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=798","layer":3},{"info":"number node, value=3137","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=4080, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=32153","layer":3},{"info":"compute binary expreesion, left_input=798, right_input=32153, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-481","layer":2},{"info":"number node, value=1442","layer":4},{"info":"compute unary expreesion, input=1442, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute unary expreesion, input=2828198, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=-481, right_input=2828198, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5656174","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5656174, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2810⪢⊺⇮3620)⨀⨒)⇗⋫)⋛((⊺⇮1390⫯⪬∳⊺⇮6185⨭⪣(⊺⇮3137≓∲⊺⇮4080))↼⊘⨖(⩦⩻⨪(⨴⫝⊺⇮1442)))=NaN","reverse_text":"NaN=(((⊺⇮2810⪢⊺⇮3620)⨀⨒)⇗⋫)⋛((⊺⇮1390⫯⪬∳⊺⇮6185⨭⪣(⊺⇮3137≓∲⊺⇮4080))↼⊘⨖(⩦⩻⨪(⨴⫝⊺⇮1442)))","cot":[{"info":"⊺⇮2810⪢⊺⇮3620=NaN","layer":3},{"info":"NaN⨀⨒=NaN","layer":2},{"info":"NaN⇗⋫=NaN","layer":1},{"info":"⊺⇮1390⫯⪬∳⊺⇮6185=⊺⇮798","layer":3},{"info":"⊺⇮3137≓∲⊺⇮4080=⊺⇮32153","layer":3},{"info":"⊺⇮798⨭⪣⊺⇮32153=⊺⇮-481","layer":2},{"info":"⨴⫝⊺⇮1442=⊺⇮2828198","layer":3},{"info":"⩦⩻⨪⊺⇮2828198=⊺⇮2828198","layer":2},{"info":"⊺⇮-481↼⊘⨖⊺⇮2828198=⊺⇮5656174","layer":1},{"info":"NaN⋛⊺⇮5656174=NaN","layer":0}]}
{"id":207,"expression_no_base_symbol":"(($1567$⩌⋺$1027$∝($1191$+$2641$))⇟⨁⪰)⊱⇼⊻(($4929$⪔⊥$2524$⨒($1542$↪⪝))⊹∫⫚($4378$↑)≁↽≥($5551$≁$4537$))","expression":"((⊺⇮1567⩌⋺⊺⇮1027∝(⊺⇮1191+⊺⇮2641))⇟⨁⪰)⊱⇼⊻((⊺⇮4929⪔⊥⊺⇮2524⨒(⊺⇮1542↪⪝))⊹∫⫚(⊺⇮4378↑)≁↽≥(⊺⇮5551≁⊺⇮4537))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1009,"operation_count":12,"complexity_ratio":84.08333333333333,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1567,"base":10},"right_expr":{"type":"numeric_atoms","value":1027,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1191,"base":10},"right_expr":{"type":"numeric_atoms","value":2641,"base":10}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4929,"base":10},"right_expr":{"type":"numeric_atoms","value":2524,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1542,"base":10}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":4378,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5551,"base":10},"right_expr":{"type":"numeric_atoms","value":4537,"base":10}}}}},"used_operators":["FyVja0WsTP","BX1lVwlMe0","cTDWOvIxvz","g7Hmc5v1ko","W4YGzv6Whe","uWAJUKEvyW","y75s1iXyHd","HJ9erzHUuu","l07mrZUIn9","ncHt1X6cMc","BThhyOhh10","8N2wDY1A35"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2DDjHMKMc0","xUOZtlo3hN","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","oWn0xqSxBt","3Oe9XWJUTD","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⊺⇮12946","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1567","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=1027, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-2715","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=2641, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3832","layer":3},{"info":"compute binary expreesion, left_input=-2715, right_input=3832, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-2710","layer":2},{"info":"compute unary expreesion, input=-2710, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=2536","layer":1},{"info":"number node, value=4929","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=4929, right_input=2524, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=14469","layer":3},{"info":"number node, value=1542","layer":4},{"info":"compute unary expreesion, input=1542, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=94342644","layer":3},{"info":"compute binary expreesion, left_input=14469, right_input=94342644, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-86442","layer":2},{"info":"number node, value=4378","layer":4},{"info":"compute unary expreesion, input=4378, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"number node, value=5551","layer":4},{"info":"number node, value=4537","layer":4},{"info":"compute binary expreesion, left_input=5551, right_input=4537, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=95687","layer":3},{"info":"compute binary expreesion, left_input=222, right_input=95687, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=13262","layer":2},{"info":"compute binary expreesion, left_input=-86442, right_input=13262, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-16","layer":1},{"info":"compute binary expreesion, left_input=2536, right_input=-16, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=12946","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1567⩌⋺⊺⇮1027∝(⊺⇮1191+⊺⇮2641))⇟⨁⪰)⊱⇼⊻((⊺⇮4929⪔⊥⊺⇮2524⨒(⊺⇮1542↪⪝))⊹∫⫚(⊺⇮4378↑)≁↽≥(⊺⇮5551≁⊺⇮4537))=⊺⇮12946","reverse_text":"⊺⇮12946=((⊺⇮1567⩌⋺⊺⇮1027∝(⊺⇮1191+⊺⇮2641))⇟⨁⪰)⊱⇼⊻((⊺⇮4929⪔⊥⊺⇮2524⨒(⊺⇮1542↪⪝))⊹∫⫚(⊺⇮4378↑)≁↽≥(⊺⇮5551≁⊺⇮4537))","cot":[{"info":"⊺⇮1567⩌⋺⊺⇮1027=⊺⇮-2715","layer":3},{"info":"⊺⇮1191+⊺⇮2641=⊺⇮3832","layer":3},{"info":"⊺⇮-2715∝⊺⇮3832=⊺⇮-2710","layer":2},{"info":"⊺⇮-2710⇟⨁⪰=⊺⇮2536","layer":1},{"info":"⊺⇮4929⪔⊥⊺⇮2524=⊺⇮14469","layer":3},{"info":"⊺⇮1542↪⪝=⊺⇮94342644","layer":3},{"info":"⊺⇮14469⨒⊺⇮94342644=⊺⇮-86442","layer":2},{"info":"⊺⇮4378↑=⊺⇮222","layer":3},{"info":"⊺⇮5551≁⊺⇮4537=⊺⇮95687","layer":3},{"info":"⊺⇮222≁↽≥⊺⇮95687=⊺⇮13262","layer":2},{"info":"⊺⇮-86442⊹∫⫚⊺⇮13262=⊺⇮-16","layer":1},{"info":"⊺⇮2536⊱⇼⊻⊺⇮-16=⊺⇮12946","layer":0}]}
{"id":208,"expression_no_base_symbol":"(($2514$⋅⇍$1702$)⪛⫼($8299$⇗⋫)⫚↹⊑($5114$⊠≄⫣)⫃⨇$1930$⫒⫫$4017$)⩼⇪↪(($2331$⇴∐$2996$⫚↹⊑$4833$⫁⪎$1215$)∋(($7334$↓⨍⋜)⊚⫡⫭))","expression":"((⊺⇮2514⋅⇍⊺⇮1702)⪛⫼(⊺⇮8299⇗⋫)⫚↹⊑(⊺⇮5114⊠≄⫣)⫃⨇⊺⇮1930⫒⫫⊺⇮4017)⩼⇪↪((⊺⇮2331⇴∐⊺⇮2996⫚↹⊑⊺⇮4833⫁⪎⊺⇮1215)∋((⊺⇮7334↓⨍⋜)⊚⫡⫭))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":563,"operation_count":14,"complexity_ratio":40.214285714285715,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2514,"base":10},"right_expr":{"type":"numeric_atoms","value":1702,"base":10}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":8299,"base":10}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5114,"base":10}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1930,"base":10},"right_expr":{"type":"numeric_atoms","value":4017,"base":10}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2331,"base":10},"right_expr":{"type":"numeric_atoms","value":2996,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4833,"base":10},"right_expr":{"type":"numeric_atoms","value":1215,"base":10}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":7334,"base":10}}}}},"used_operators":["ocnLzx9CaJ","dfKe02y8D2","hyuBjUqXlG","AdZkA7nFnk","hpqmaQFPrd","09Ly4LVMIf","DIvbN7qnHd","6Ko8hGgeMq","ukq6epAj5P","HnzytWxmAO","xRrnTEsQ6j","SpZWOsLKZJ","3DVzLFNsE9"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rxpJgHHUmx","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2"],"result":"⊺⇮368175","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2514","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=1702, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=8299","layer":4},{"info":"compute unary expreesion, input=8299, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"number node, value=5114","layer":4},{"info":"compute unary expreesion, input=5114, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1930","layer":4},{"info":"number node, value=4017","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=4017, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=2331","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=2996, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=4833","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=4833, right_input=1215, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=3618","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3618, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=7334","layer":4},{"info":"compute unary expreesion, input=7334, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute unary expreesion, input=6590, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-12254","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-12254, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-52836","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-52836, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=368175","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2514⋅⇍⊺⇮1702)⪛⫼(⊺⇮8299⇗⋫)⫚↹⊑(⊺⇮5114⊠≄⫣)⫃⨇⊺⇮1930⫒⫫⊺⇮4017)⩼⇪↪((⊺⇮2331⇴∐⊺⇮2996⫚↹⊑⊺⇮4833⫁⪎⊺⇮1215)∋((⊺⇮7334↓⨍⋜)⊚⫡⫭))=⊺⇮368175","reverse_text":"⊺⇮368175=((⊺⇮2514⋅⇍⊺⇮1702)⪛⫼(⊺⇮8299⇗⋫)⫚↹⊑(⊺⇮5114⊠≄⫣)⫃⨇⊺⇮1930⫒⫫⊺⇮4017)⩼⇪↪((⊺⇮2331⇴∐⊺⇮2996⫚↹⊑⊺⇮4833⫁⪎⊺⇮1215)∋((⊺⇮7334↓⨍⋜)⊚⫡⫭))","cot":[{"info":"⊺⇮2514⋅⇍⊺⇮1702=⊺⇮-22","layer":3},{"info":"⊺⇮8299⇗⋫=NaN","layer":3},{"info":"⊺⇮-22⪛⫼NaN=NaN","layer":2},{"info":"⊺⇮5114⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮1930⫒⫫⊺⇮4017=NaN","layer":3},{"info":"⊺⇮0⫃⨇NaN=NaN","layer":2},{"info":"NaN⫚↹⊑NaN=⊺⇮-447","layer":1},{"info":"⊺⇮2331⇴∐⊺⇮2996=NaN","layer":3},{"info":"⊺⇮4833⫁⪎⊺⇮1215=⊺⇮3618","layer":3},{"info":"NaN⫚↹⊑⊺⇮3618=⊺⇮-447","layer":2},{"info":"⊺⇮7334↓⨍⋜=⊺⇮6590","layer":3},{"info":"⊺⇮6590⊚⫡⫭=⊺⇮-12254","layer":2},{"info":"⊺⇮-447∋⊺⇮-12254=⊺⇮-52836","layer":1},{"info":"⊺⇮-447⩼⇪↪⊺⇮-52836=⊺⇮368175","layer":0}]}
{"id":209,"expression_no_base_symbol":"($2111$⪒$8734$⫚↹⊑$3951$⫸⇳$3053$⫲)⊲⩕⊾(($3130$⊜)⨒($1430$↠))⨸(∨∊⋏($4287$⫁$1045$))","expression":"(⊺⇮2111⪒⊺⇮8734⫚↹⊑⊺⇮3951⫸⇳⊺⇮3053⫲)⊲⩕⊾((⊺⇮3130⊜)⨒(⊺⇮1430↠))⨸(∨∊⋏(⊺⇮4287⫁⊺⇮1045))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":406,"operation_count":11,"complexity_ratio":36.90909090909091,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2111,"base":10},"right_expr":{"type":"numeric_atoms","value":8734,"base":10}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3951,"base":10},"right_expr":{"type":"numeric_atoms","value":3053,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":3130,"base":10}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1430,"base":10}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4287,"base":10},"right_expr":{"type":"numeric_atoms","value":1045,"base":10}}}}},"used_operators":["DmTXOeWf9t","9xnGDUPbC6","dfKe02y8D2","f6k1SAg4EE","gx7XJ7hdpj","KmoU8R5UQR","y75s1iXyHd","Eev2Q7dYIw","LBdsKIvxzf","R5aXW34M0v","0ajvFaJAv0"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⊺⇮-8831838","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2111","layer":4},{"info":"number node, value=8734","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=8734, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10845","layer":3},{"info":"number node, value=3951","layer":4},{"info":"number node, value=3053","layer":4},{"info":"compute binary expreesion, left_input=3951, right_input=3053, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10845, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=773","layer":1},{"info":"number node, value=3130","layer":4},{"info":"compute unary expreesion, input=3130, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-10784","layer":3},{"info":"number node, value=1430","layer":4},{"info":"compute unary expreesion, input=1430, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-10784, right_input=-447, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"number node, value=4287","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=4287, right_input=1045, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=3219","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=3219, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=882284","layer":1},{"info":"compute binary expreesion, left_input=773, right_input=882284, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-8831838","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2111⪒⊺⇮8734⫚↹⊑⊺⇮3951⫸⇳⊺⇮3053⫲)⊲⩕⊾((⊺⇮3130⊜)⨒(⊺⇮1430↠))⨸(∨∊⋏(⊺⇮4287⫁⊺⇮1045))=⊺⇮-8831838","reverse_text":"⊺⇮-8831838=(⊺⇮2111⪒⊺⇮8734⫚↹⊑⊺⇮3951⫸⇳⊺⇮3053⫲)⊲⩕⊾((⊺⇮3130⊜)⨒(⊺⇮1430↠))⨸(∨∊⋏(⊺⇮4287⫁⊺⇮1045))","cot":[{"info":"⊺⇮2111⪒⊺⇮8734=⊺⇮-10845","layer":3},{"info":"⊺⇮3951⫸⇳⊺⇮3053=⊺⇮0","layer":3},{"info":"⊺⇮-10845⫚↹⊑⊺⇮0=⊺⇮-447","layer":2},{"info":"⊺⇮-447⫲=⊺⇮773","layer":1},{"info":"⊺⇮3130⊜=⊺⇮-10784","layer":3},{"info":"⊺⇮1430↠=⊺⇮-447","layer":3},{"info":"⊺⇮-10784⨒⊺⇮-447=⊺⇮1","layer":2},{"info":"⊺⇮4287⫁⊺⇮1045=⊺⇮160","layer":3},{"info":"∨∊⋏⊺⇮160=⊺⇮3219","layer":2},{"info":"⊺⇮1⨸⊺⇮3219=⊺⇮882284","layer":1},{"info":"⊺⇮773⊲⩕⊾⊺⇮882284=⊺⇮-8831838","layer":0}]}
{"id":210,"expression_no_base_symbol":"(($1389$⨵⪆$1210$)⨰$8505$≁$4830$)⋕⪉⪜($1097$⪬$2955$⩘$1261$∣$4017$)⊴(($4834$∇⊂⋱$1939$)↤⩊($3042$⪔⊥$8302$)↺($2940$≚⊃≕$5496$⨳⩥⨓$1994$⪭$5449$))","expression":"((⊺⇮1389⨵⪆⊺⇮1210)⨰⊺⇮8505≁⊺⇮4830)⋕⪉⪜(⊺⇮1097⪬⊺⇮2955⩘⊺⇮1261∣⊺⇮4017)⊴((⊺⇮4834∇⊂⋱⊺⇮1939)↤⩊(⊺⇮3042⪔⊥⊺⇮8302)↺(⊺⇮2940≚⊃≕⊺⇮5496⨳⩥⨓⊺⇮1994⪭⊺⇮5449))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1141,"operation_count":15,"complexity_ratio":76.06666666666666,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1389,"base":10},"right_expr":{"type":"numeric_atoms","value":1210,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":8505,"base":10},"right_expr":{"type":"numeric_atoms","value":4830,"base":10}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1097,"base":10},"right_expr":{"type":"numeric_atoms","value":2955,"base":10}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1261,"base":10},"right_expr":{"type":"numeric_atoms","value":4017,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4834,"base":10},"right_expr":{"type":"numeric_atoms","value":1939,"base":10}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3042,"base":10},"right_expr":{"type":"numeric_atoms","value":8302,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2940,"base":10},"right_expr":{"type":"numeric_atoms","value":5496,"base":10}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1994,"base":10},"right_expr":{"type":"numeric_atoms","value":5449,"base":10}}}}},"used_operators":["Nsiff2A1zJ","z6LnFrNh4i","eewbuw0ToL","2DQ55sFlQl","8N2wDY1A35","cHh1gJQ2o6","Ez1Nq5fNfI","PPChnnnBFF","7j4O788W3g","13rbtpv6ld","nhYeJWJD5X","HJ9erzHUuu","nCS4ZIUYfx","Bmrmz2XGnR","j9kHMeSvPp"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1389","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=1210, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=8505","layer":4},{"info":"number node, value=4830","layer":4},{"info":"compute binary expreesion, left_input=8505, right_input=4830, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=102719","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=102719, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-102549","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=2955","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=2955, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=4017","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=4017, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1261","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1261, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-102549, right_input=160, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=4834","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=4834, right_input=1939, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9122","layer":3},{"info":"number node, value=3042","layer":4},{"info":"number node, value=8302","layer":4},{"info":"compute binary expreesion, left_input=3042, right_input=8302, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-4635","layer":3},{"info":"compute binary expreesion, left_input=9122, right_input=-4635, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=2940","layer":4},{"info":"number node, value=5496","layer":4},{"info":"compute binary expreesion, left_input=2940, right_input=5496, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1994","layer":4},{"info":"number node, value=5449","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=5449, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=5, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-62","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-62, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-62","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=-62, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1389⨵⪆⊺⇮1210)⨰⊺⇮8505≁⊺⇮4830)⋕⪉⪜(⊺⇮1097⪬⊺⇮2955⩘⊺⇮1261∣⊺⇮4017)⊴((⊺⇮4834∇⊂⋱⊺⇮1939)↤⩊(⊺⇮3042⪔⊥⊺⇮8302)↺(⊺⇮2940≚⊃≕⊺⇮5496⨳⩥⨓⊺⇮1994⪭⊺⇮5449))=NaN","reverse_text":"NaN=((⊺⇮1389⨵⪆⊺⇮1210)⨰⊺⇮8505≁⊺⇮4830)⋕⪉⪜(⊺⇮1097⪬⊺⇮2955⩘⊺⇮1261∣⊺⇮4017)⊴((⊺⇮4834∇⊂⋱⊺⇮1939)↤⩊(⊺⇮3042⪔⊥⊺⇮8302)↺(⊺⇮2940≚⊃≕⊺⇮5496⨳⩥⨓⊺⇮1994⪭⊺⇮5449))","cot":[{"info":"⊺⇮1389⨵⪆⊺⇮1210=⊺⇮160","layer":3},{"info":"⊺⇮8505≁⊺⇮4830=⊺⇮102719","layer":3},{"info":"⊺⇮160⨰⊺⇮102719=⊺⇮-102549","layer":2},{"info":"⊺⇮1097⪬⊺⇮2955=⊺⇮1234","layer":3},{"info":"⊺⇮1261∣⊺⇮4017=⊺⇮1261","layer":3},{"info":"⊺⇮1234⩘⊺⇮1261=⊺⇮160","layer":2},{"info":"⊺⇮-102549⋕⪉⪜⊺⇮160=⊺⇮204","layer":1},{"info":"⊺⇮4834∇⊂⋱⊺⇮1939=⊺⇮9122","layer":3},{"info":"⊺⇮3042⪔⊥⊺⇮8302=⊺⇮-4635","layer":3},{"info":"⊺⇮9122↤⩊⊺⇮-4635=NaN","layer":2},{"info":"⊺⇮2940≚⊃≕⊺⇮5496=⊺⇮67","layer":3},{"info":"⊺⇮1994⪭⊺⇮5449=⊺⇮5","layer":3},{"info":"⊺⇮67⨳⩥⨓⊺⇮5=⊺⇮-62","layer":2},{"info":"NaN↺⊺⇮-62=⊺⇮-62","layer":1},{"info":"⊺⇮204⊴⊺⇮-62=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"(((⊙↵-$4266$)≚⊃≕$1578$⨚$2115$)⊱⇼⊻($1428$≒∊$2988$⩧⪆(⨙⪌$1831$)))⇂≾⫗((($1017$⊝)∥⊢⊲(⪸$8416$))∓⋝($5100$⫁$5387$⪍↜⋙(≇⪴$1087$)))","expression":"(((⊙↵-⊺⇮4266)≚⊃≕⊺⇮1578⨚⊺⇮2115)⊱⇼⊻(⊺⇮1428≒∊⊺⇮2988⩧⪆(⨙⪌⊺⇮1831)))⇂≾⫗(((⊺⇮1017⊝)∥⊢⊲(⪸⊺⇮8416))∓⋝(⊺⇮5100⫁⊺⇮5387⪍↜⋙(≇⪴⊺⇮1087)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5512,"operation_count":15,"complexity_ratio":367.46666666666664,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4266,"base":10}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1578,"base":10},"right_expr":{"type":"numeric_atoms","value":2115,"base":10}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1428,"base":10},"right_expr":{"type":"numeric_atoms","value":2988,"base":10}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1831,"base":10}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1017,"base":10}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":8416,"base":10}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5100,"base":10},"right_expr":{"type":"numeric_atoms","value":5387,"base":10}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1087,"base":10}}}}},"used_operators":["aBQ6xLxuTc","FyVja0WsTP","Bmrmz2XGnR","oWn0xqSxBt","nREPSIbpBE","Ikt5ks8PT7","5KTvxBwnZo","vEGLkm4Z2k","PoHhknlbAi","v1UQAVDJRr","O6EZ0fifGK","86A5ENbKR9","L05ObWFQCd","0ajvFaJAv0","zoVPnxeHJ3"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","BjRHVeLaeN","12rbrZMWeM","eewbuw0ToL","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","EBcxylXtPf","rGHVDoGpnC","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"⊺⇮-676","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4266","layer":4},{"info":"compute unary expreesion, input=4266, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1578","layer":4},{"info":"number node, value=2115","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=2115, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-4370","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-4370, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-8910","layer":2},{"info":"number node, value=1428","layer":4},{"info":"number node, value=2988","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=2988, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-944","layer":3},{"info":"number node, value=1831","layer":4},{"info":"compute unary expreesion, input=1831, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-944, right_input=868, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-868","layer":2},{"info":"compute binary expreesion, left_input=-8910, right_input=-868, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-32838","layer":1},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1017","layer":3},{"info":"number node, value=8416","layer":4},{"info":"compute unary expreesion, input=8416, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-142863","layer":3},{"info":"compute binary expreesion, left_input=1017, right_input=-142863, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=5100","layer":4},{"info":"number node, value=5387","layer":4},{"info":"compute binary expreesion, left_input=5100, right_input=5387, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1087","layer":4},{"info":"compute unary expreesion, input=1087, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1921","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1921, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=4162","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4162, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-32838, right_input=67, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":10,"result_base":10,"text":"(((⊙↵-⊺⇮4266)≚⊃≕⊺⇮1578⨚⊺⇮2115)⊱⇼⊻(⊺⇮1428≒∊⊺⇮2988⩧⪆(⨙⪌⊺⇮1831)))⇂≾⫗(((⊺⇮1017⊝)∥⊢⊲(⪸⊺⇮8416))∓⋝(⊺⇮5100⫁⊺⇮5387⪍↜⋙(≇⪴⊺⇮1087)))=⊺⇮-676","reverse_text":"⊺⇮-676=(((⊙↵-⊺⇮4266)≚⊃≕⊺⇮1578⨚⊺⇮2115)⊱⇼⊻(⊺⇮1428≒∊⊺⇮2988⩧⪆(⨙⪌⊺⇮1831)))⇂≾⫗(((⊺⇮1017⊝)∥⊢⊲(⪸⊺⇮8416))∓⋝(⊺⇮5100⫁⊺⇮5387⪍↜⋙(≇⪴⊺⇮1087)))","cot":[{"info":"⊙↵-⊺⇮4266=⊺⇮-1","layer":3},{"info":"⊺⇮1578⨚⊺⇮2115=⊺⇮-4370","layer":3},{"info":"⊺⇮-1≚⊃≕⊺⇮-4370=⊺⇮-8910","layer":2},{"info":"⊺⇮1428≒∊⊺⇮2988=⊺⇮-944","layer":3},{"info":"⨙⪌⊺⇮1831=⊺⇮868","layer":3},{"info":"⊺⇮-944⩧⪆⊺⇮868=⊺⇮-868","layer":2},{"info":"⊺⇮-8910⊱⇼⊻⊺⇮-868=⊺⇮-32838","layer":1},{"info":"⊺⇮1017⊝=⊺⇮1017","layer":3},{"info":"⪸⊺⇮8416=⊺⇮-142863","layer":3},{"info":"⊺⇮1017∥⊢⊲⊺⇮-142863=NaN","layer":2},{"info":"⊺⇮5100⫁⊺⇮5387=⊺⇮160","layer":3},{"info":"≇⪴⊺⇮1087=⊺⇮-1921","layer":3},{"info":"⊺⇮160⪍↜⋙⊺⇮-1921=⊺⇮4162","layer":2},{"info":"NaN∓⋝⊺⇮4162=⊺⇮67","layer":1},{"info":"⊺⇮-32838⇂≾⫗⊺⇮67=⊺⇮-676","layer":0}]}
{"id":212,"expression_no_base_symbol":"(($3453$↸$1532$)∛≔)⊱⇼⊻($5584$⩣⫁∢$1346$⊭↱(↯⪼$1633$))⪃↞⩐","expression":"((⊺⇮3453↸⊺⇮1532)∛≔)⊱⇼⊻(⊺⇮5584⩣⫁∢⊺⇮1346⊭↱(↯⪼⊺⇮1633))⪃↞⩐","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24516,"operation_count":7,"complexity_ratio":3502.285714285714,"tree":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3453,"base":10},"right_expr":{"type":"numeric_atoms","value":1532,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5584,"base":10},"right_expr":{"type":"numeric_atoms","value":1346,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1633,"base":10}}}}},"used_operators":["grXIztHqDa","FyVja0WsTP","mGnSCrte3L","1eCjFl0mb9","COABgblf1C","JDUIKTTSIa","8jW3W4yZS5"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3453","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=1532, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3453","layer":3},{"info":"compute unary expreesion, input=3453, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":2},{"info":"number node, value=5584","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=5584, right_input=1346, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-11007","layer":3},{"info":"number node, value=1633","layer":4},{"info":"compute unary expreesion, input=1633, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-11007, right_input=-21, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=21977","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=21977, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3453↸⊺⇮1532)∛≔)⊱⇼⊻(⊺⇮5584⩣⫁∢⊺⇮1346⊭↱(↯⪼⊺⇮1633))⪃↞⩐=NaN","reverse_text":"NaN=((⊺⇮3453↸⊺⇮1532)∛≔)⊱⇼⊻(⊺⇮5584⩣⫁∢⊺⇮1346⊭↱(↯⪼⊺⇮1633))⪃↞⩐","cot":[{"info":"⊺⇮3453↸⊺⇮1532=⊺⇮3453","layer":3},{"info":"⊺⇮3453∛≔=-Inf","layer":2},{"info":"⊺⇮5584⩣⫁∢⊺⇮1346=⊺⇮-11007","layer":3},{"info":"↯⪼⊺⇮1633=⊺⇮-21","layer":3},{"info":"⊺⇮-11007⊭↱⊺⇮-21=⊺⇮21977","layer":2},{"info":"-Inf⊱⇼⊻⊺⇮21977=Inf","layer":1},{"info":"Inf⪃↞⩐=NaN","layer":0}]}
{"id":213,"expression_no_base_symbol":"($3068$⊉↱≁$5722$⨐⩸⫘($4529$∁)⨒($8943$∴≳≥)∌↝($1670$⪨≂$1366$))⪝(($3712$⩣⫁∢$1538$)⨐($1103$⪭$5586$)∷($1486$⋫)⪮%⊝(≻⋜$4467$))","expression":"(⊺⇮3068⊉↱≁⊺⇮5722⨐⩸⫘(⊺⇮4529∁)⨒(⊺⇮8943∴≳≥)∌↝(⊺⇮1670⪨≂⊺⇮1366))⪝((⊺⇮3712⩣⫁∢⊺⇮1538)⨐(⊺⇮1103⪭⊺⇮5586)∷(⊺⇮1486⋫)⪮%⊝(≻⋜⊺⇮4467))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":26002,"operation_count":15,"complexity_ratio":1733.4666666666667,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3068,"base":10},"right_expr":{"type":"numeric_atoms","value":5722,"base":10}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":4529,"base":10}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":8943,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1670,"base":10},"right_expr":{"type":"numeric_atoms","value":1366,"base":10}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3712,"base":10},"right_expr":{"type":"numeric_atoms","value":1538,"base":10}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1103,"base":10},"right_expr":{"type":"numeric_atoms","value":5586,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1486,"base":10}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4467,"base":10}}}}},"used_operators":["wicAB68Tmb","y75s1iXyHd","fu6greOZ01","w2P8NbNXyL","jdwGQqwJi5","9Isq31Ruls","a3N2hFLK0J","sdazOOVcIp","D3AQDKkPcf","Noe24qw2ks","JDUIKTTSIa","j9kHMeSvPp","IWmyXbctLI","JL8yIekQnl","3tj9sqzovi"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","3ViojmjbAp","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","2DDjHMKMc0","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3068","layer":4},{"info":"number node, value=5722","layer":4},{"info":"compute binary expreesion, left_input=3068, right_input=5722, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-4766","layer":3},{"info":"number node, value=4529","layer":4},{"info":"compute unary expreesion, input=4529, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=4529","layer":3},{"info":"compute binary expreesion, left_input=-4766, right_input=4529, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=8943","layer":4},{"info":"compute unary expreesion, input=8943, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=35772","layer":3},{"info":"number node, value=1670","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=1366, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=710","layer":3},{"info":"compute binary expreesion, left_input=35772, right_input=710, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"number node, value=3712","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=1538, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7263","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=5586","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=5586, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-7263, right_input=5, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=14526","layer":2},{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1486","layer":3},{"info":"number node, value=4467","layer":4},{"info":"compute unary expreesion, input=4467, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1486, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14526, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3068⊉↱≁⊺⇮5722⨐⩸⫘(⊺⇮4529∁)⨒(⊺⇮8943∴≳≥)∌↝(⊺⇮1670⪨≂⊺⇮1366))⪝((⊺⇮3712⩣⫁∢⊺⇮1538)⨐(⊺⇮1103⪭⊺⇮5586)∷(⊺⇮1486⋫)⪮%⊝(≻⋜⊺⇮4467))=NaN","reverse_text":"NaN=(⊺⇮3068⊉↱≁⊺⇮5722⨐⩸⫘(⊺⇮4529∁)⨒(⊺⇮8943∴≳≥)∌↝(⊺⇮1670⪨≂⊺⇮1366))⪝((⊺⇮3712⩣⫁∢⊺⇮1538)⨐(⊺⇮1103⪭⊺⇮5586)∷(⊺⇮1486⋫)⪮%⊝(≻⋜⊺⇮4467))","cot":[{"info":"⊺⇮3068⊉↱≁⊺⇮5722=⊺⇮-4766","layer":3},{"info":"⊺⇮4529∁=⊺⇮4529","layer":3},{"info":"⊺⇮-4766⨐⩸⫘⊺⇮4529=NaN","layer":2},{"info":"⊺⇮8943∴≳≥=⊺⇮35772","layer":3},{"info":"⊺⇮1670⪨≂⊺⇮1366=⊺⇮710","layer":3},{"info":"⊺⇮35772∌↝⊺⇮710=⊺⇮0","layer":2},{"info":"NaN⨒⊺⇮0=NaN","layer":1},{"info":"⊺⇮3712⩣⫁∢⊺⇮1538=⊺⇮-7263","layer":3},{"info":"⊺⇮1103⪭⊺⇮5586=⊺⇮5","layer":3},{"info":"⊺⇮-7263⨐⊺⇮5=⊺⇮14526","layer":2},{"info":"⊺⇮1486⋫=⊺⇮1486","layer":3},{"info":"≻⋜⊺⇮4467=NaN","layer":3},{"info":"⊺⇮1486⪮%⊝NaN=NaN","layer":2},{"info":"⊺⇮14526∷NaN=NaN","layer":1},{"info":"NaN⪝NaN=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"≤/($2353$⊔$5623$)⪟⇏($1857$∙∹∝$1538$)⨎($2815$⪣⫩)∘$5488$⨸$3465$","expression":"≤/(⊺⇮2353⊔⊺⇮5623)⪟⇏(⊺⇮1857∙∹∝⊺⇮1538)⨎(⊺⇮2815⪣⫩)∘⊺⇮5488⨸⊺⇮3465","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5677,"operation_count":8,"complexity_ratio":709.625,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2353,"base":10},"right_expr":{"type":"numeric_atoms","value":5623,"base":10}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1857,"base":10},"right_expr":{"type":"numeric_atoms","value":1538,"base":10}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2815,"base":10}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5488,"base":10},"right_expr":{"type":"numeric_atoms","value":3465,"base":10}}}}},"used_operators":["eLAdDNolq6","rJVOvQCfKK","GODebY97qR","E4l6HwMY31","HmxsFra2vL","Z5m6OM72h2","iuk5sVOGFA","KmoU8R5UQR"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⊺⇮-16340","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2353","layer":4},{"info":"number node, value=5623","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=5623, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=30421","layer":3},{"info":"number node, value=1857","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=1538, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=30421, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=2815","layer":4},{"info":"compute unary expreesion, input=2815, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=8412","layer":3},{"info":"number node, value=5488","layer":4},{"info":"number node, value=3465","layer":4},{"info":"compute binary expreesion, left_input=5488, right_input=3465, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=10976","layer":3},{"info":"compute binary expreesion, left_input=8412, right_input=10976, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=16824","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=16824, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=16824","layer":1},{"info":"compute unary expreesion, input=16824, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-16340","layer":0}],"base":10,"result_base":10,"text":"≤/(⊺⇮2353⊔⊺⇮5623)⪟⇏(⊺⇮1857∙∹∝⊺⇮1538)⨎(⊺⇮2815⪣⫩)∘⊺⇮5488⨸⊺⇮3465=⊺⇮-16340","reverse_text":"⊺⇮-16340=≤/(⊺⇮2353⊔⊺⇮5623)⪟⇏(⊺⇮1857∙∹∝⊺⇮1538)⨎(⊺⇮2815⪣⫩)∘⊺⇮5488⨸⊺⇮3465","cot":[{"info":"⊺⇮2353⊔⊺⇮5623=⊺⇮30421","layer":3},{"info":"⊺⇮1857∙∹∝⊺⇮1538=⊺⇮0","layer":3},{"info":"⊺⇮30421⪟⇏⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮2815⪣⫩=⊺⇮8412","layer":3},{"info":"⊺⇮5488⨸⊺⇮3465=⊺⇮10976","layer":3},{"info":"⊺⇮8412∘⊺⇮10976=⊺⇮16824","layer":2},{"info":"⊺⇮0⨎⊺⇮16824=⊺⇮16824","layer":1},{"info":"≤/⊺⇮16824=⊺⇮-16340","layer":0}]}
{"id":215,"expression_no_base_symbol":"($2357$⨸$8385$⋳⪒$2698$⪛$3257$)⊉↱≁(⫇(⇁⨣⪵$6330$))⩧⪆(⫇(($1112$⫩)/$1097$⋣⋖$1967$))","expression":"(⊺⇮2357⨸⊺⇮8385⋳⪒⊺⇮2698⪛⊺⇮3257)⊉↱≁(⫇(⇁⨣⪵⊺⇮6330))⩧⪆(⫇((⊺⇮1112⫩)/⊺⇮1097⋣⋖⊺⇮1967))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3633,"operation_count":11,"complexity_ratio":330.27272727272725,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2357,"base":10},"right_expr":{"type":"numeric_atoms","value":8385,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2698,"base":10},"right_expr":{"type":"numeric_atoms","value":3257,"base":10}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6330,"base":10}}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1112,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1097,"base":10},"right_expr":{"type":"numeric_atoms","value":1967,"base":10}}}}},"used_operators":["Ikt5ks8PT7","w2P8NbNXyL","12rbrZMWeM","KmoU8R5UQR","uFcxV4UQCh","YjI8oCXuph","inkyxCbjAn","XhwjNDsVaA","6aG7x05OhS","J0M6qkBnIM"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","B5M0gjZbta","rysDP5nf3Z","dWAJyo7jo9","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2357","layer":4},{"info":"number node, value=8385","layer":4},{"info":"compute binary expreesion, left_input=2357, right_input=8385, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4714","layer":3},{"info":"number node, value=2698","layer":4},{"info":"number node, value=3257","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=3257, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2698","layer":3},{"info":"compute binary expreesion, left_input=4714, right_input=2698, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6443","layer":2},{"info":"number node, value=6330","layer":4},{"info":"compute unary expreesion, input=6330, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6443, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"number node, value=1112","layer":4},{"info":"compute unary expreesion, input=1112, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1967, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1097","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1097, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2357⨸⊺⇮8385⋳⪒⊺⇮2698⪛⊺⇮3257)⊉↱≁(⫇(⇁⨣⪵⊺⇮6330))⩧⪆(⫇((⊺⇮1112⫩)/⊺⇮1097⋣⋖⊺⇮1967))=NaN","reverse_text":"NaN=(⊺⇮2357⨸⊺⇮8385⋳⪒⊺⇮2698⪛⊺⇮3257)⊉↱≁(⫇(⇁⨣⪵⊺⇮6330))⩧⪆(⫇((⊺⇮1112⫩)/⊺⇮1097⋣⋖⊺⇮1967))","cot":[{"info":"⊺⇮2357⨸⊺⇮8385=⊺⇮4714","layer":3},{"info":"⊺⇮2698⪛⊺⇮3257=⊺⇮2698","layer":3},{"info":"⊺⇮4714⋳⪒⊺⇮2698=⊺⇮6443","layer":2},{"info":"⇁⨣⪵⊺⇮6330=NaN","layer":3},{"info":"⫇NaN=NaN","layer":2},{"info":"⊺⇮6443⊉↱≁NaN=NaN","layer":1},{"info":"⊺⇮1112⫩=NaN","layer":3},{"info":"⊺⇮1097⋣⋖⊺⇮1967=⊺⇮1097","layer":3},{"info":"NaN/⊺⇮1097=NaN","layer":2},{"info":"⫇NaN=NaN","layer":1},{"info":"NaN⩧⪆NaN=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"($1037$∣$1094$⪘⫢($3786$∷))↳∿⪆(⊖$4501$⩘$5390$)⨔≚≋($4622$⪎↠$3057$⊝⪿⪼($3254$⊹∫⫚$9165$))⪬($6609$⨽∌$7961$⊲⩕⊾$2187$⪥$1853$)","expression":"(⊺⇮1037∣⊺⇮1094⪘⫢(⊺⇮3786∷))↳∿⪆(⊖⊺⇮4501⩘⊺⇮5390)⨔≚≋(⊺⇮4622⪎↠⊺⇮3057⊝⪿⪼(⊺⇮3254⊹∫⫚⊺⇮9165))⪬(⊺⇮6609⨽∌⊺⇮7961⊲⩕⊾⊺⇮2187⪥⊺⇮1853)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3350,"operation_count":14,"complexity_ratio":239.28571428571428,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1037,"base":10},"right_expr":{"type":"numeric_atoms","value":1094,"base":10}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":3786,"base":10}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4501,"base":10},"right_expr":{"type":"numeric_atoms","value":5390,"base":10}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4622,"base":10},"right_expr":{"type":"numeric_atoms","value":3057,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3254,"base":10},"right_expr":{"type":"numeric_atoms","value":9165,"base":10}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6609,"base":10},"right_expr":{"type":"numeric_atoms","value":7961,"base":10}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2187,"base":10},"right_expr":{"type":"numeric_atoms","value":1853,"base":10}}}}},"used_operators":["Z57zeUYC9z","Cw4SuJJGHO","oacrs7FA3X","PPChnnnBFF","nFAOW8KTqp","U6pG0PXrV3","cHh1gJQ2o6","Ez1Nq5fNfI","3Oe9XWJUTD","3tVxb0NHM4","uWAJUKEvyW","DmTXOeWf9t","9samAPKr6k","QbnwKVWMIQ"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1094, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1037","layer":3},{"info":"number node, value=3786","layer":4},{"info":"compute unary expreesion, input=3786, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=11358","layer":3},{"info":"compute binary expreesion, left_input=1037, right_input=11358, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1950","layer":2},{"info":"number node, value=4501","layer":4},{"info":"number node, value=5390","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=5390, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=1950, right_input=-480, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=4622","layer":4},{"info":"number node, value=3057","layer":4},{"info":"compute binary expreesion, left_input=4622, right_input=3057, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=3254","layer":4},{"info":"number node, value=9165","layer":4},{"info":"compute binary expreesion, left_input=3254, right_input=9165, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-168","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-168, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=12260","layer":2},{"info":"number node, value=6609","layer":4},{"info":"number node, value=7961","layer":4},{"info":"compute binary expreesion, left_input=6609, right_input=7961, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2187","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=1853, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13400","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13400, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-130630","layer":2},{"info":"compute binary expreesion, left_input=12260, right_input=-130630, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1037∣⊺⇮1094⪘⫢(⊺⇮3786∷))↳∿⪆(⊖⊺⇮4501⩘⊺⇮5390)⨔≚≋(⊺⇮4622⪎↠⊺⇮3057⊝⪿⪼(⊺⇮3254⊹∫⫚⊺⇮9165))⪬(⊺⇮6609⨽∌⊺⇮7961⊲⩕⊾⊺⇮2187⪥⊺⇮1853)=NaN","reverse_text":"NaN=(⊺⇮1037∣⊺⇮1094⪘⫢(⊺⇮3786∷))↳∿⪆(⊖⊺⇮4501⩘⊺⇮5390)⨔≚≋(⊺⇮4622⪎↠⊺⇮3057⊝⪿⪼(⊺⇮3254⊹∫⫚⊺⇮9165))⪬(⊺⇮6609⨽∌⊺⇮7961⊲⩕⊾⊺⇮2187⪥⊺⇮1853)","cot":[{"info":"⊺⇮1037∣⊺⇮1094=⊺⇮1037","layer":3},{"info":"⊺⇮3786∷=⊺⇮11358","layer":3},{"info":"⊺⇮1037⪘⫢⊺⇮11358=⊺⇮1950","layer":2},{"info":"⊺⇮4501⩘⊺⇮5390=⊺⇮160","layer":3},{"info":"⊖⊺⇮160=⊺⇮-480","layer":2},{"info":"⊺⇮1950↳∿⪆⊺⇮-480=NaN","layer":1},{"info":"⊺⇮4622⪎↠⊺⇮3057=⊺⇮160","layer":3},{"info":"⊺⇮3254⊹∫⫚⊺⇮9165=⊺⇮-168","layer":3},{"info":"⊺⇮160⊝⪿⪼⊺⇮-168=⊺⇮12260","layer":2},{"info":"⊺⇮6609⨽∌⊺⇮7961=⊺⇮0","layer":3},{"info":"⊺⇮2187⪥⊺⇮1853=⊺⇮13400","layer":3},{"info":"⊺⇮0⊲⩕⊾⊺⇮13400=⊺⇮-130630","layer":2},{"info":"⊺⇮12260⪬⊺⇮-130630=⊺⇮1234","layer":1},{"info":"NaN⨔≚≋⊺⇮1234=NaN","layer":0}]}
{"id":217,"expression_no_base_symbol":"(≅≯⇸(∜⨇$6042$)⨥⫆($1367$⇍⊗$1026$))⪔⊥((⫯($1090$⋝⋈⪟$1896$))⫉⨲⊜(≇⪴$4296$↤⩊$7661$))","expression":"(≅≯⇸(∜⨇⊺⇮6042)⨥⫆(⊺⇮1367⇍⊗⊺⇮1026))⪔⊥((⫯(⊺⇮1090⋝⋈⪟⊺⇮1896))⫉⨲⊜(≇⪴⊺⇮4296↤⩊⊺⇮7661))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":93798,"operation_count":10,"complexity_ratio":9379.8,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":6042,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1367,"base":10},"right_expr":{"type":"numeric_atoms","value":1026,"base":10}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1090,"base":10},"right_expr":{"type":"numeric_atoms","value":1896,"base":10}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4296,"base":10},"right_expr":{"type":"numeric_atoms","value":7661,"base":10}}}}},"used_operators":["HJ9erzHUuu","apS25hmuAe","yXekIHxTD4","uFPyJr306J","5uvYHDjeKN","WhqkvtTD3t","H6BK1Evt7c","2DDjHMKMc0","zoVPnxeHJ3","13rbtpv6ld"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","EBcxylXtPf","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eewbuw0ToL","zVYPLywUTj","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6042","layer":4},{"info":"compute unary expreesion, input=6042, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=1367","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=1026, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":1},{"info":"number node, value=1090","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=1896, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1090","layer":3},{"info":"compute unary expreesion, input=1090, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-30992","layer":2},{"info":"number node, value=4296","layer":4},{"info":"number node, value=7661","layer":4},{"info":"compute binary expreesion, left_input=4296, right_input=7661, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-30992, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≅≯⇸(∜⨇⊺⇮6042)⨥⫆(⊺⇮1367⇍⊗⊺⇮1026))⪔⊥((⫯(⊺⇮1090⋝⋈⪟⊺⇮1896))⫉⨲⊜(≇⪴⊺⇮4296↤⩊⊺⇮7661))=NaN","reverse_text":"NaN=(≅≯⇸(∜⨇⊺⇮6042)⨥⫆(⊺⇮1367⇍⊗⊺⇮1026))⪔⊥((⫯(⊺⇮1090⋝⋈⪟⊺⇮1896))⫉⨲⊜(≇⪴⊺⇮4296↤⩊⊺⇮7661))","cot":[{"info":"∜⨇⊺⇮6042=NaN","layer":3},{"info":"⊺⇮1367⇍⊗⊺⇮1026=⊺⇮-244","layer":3},{"info":"NaN⨥⫆⊺⇮-244=NaN","layer":2},{"info":"≅≯⇸NaN=NaN","layer":1},{"info":"⊺⇮1090⋝⋈⪟⊺⇮1896=⊺⇮1090","layer":3},{"info":"⫯⊺⇮1090=⊺⇮-30992","layer":2},{"info":"⊺⇮4296↤⩊⊺⇮7661=NaN","layer":3},{"info":"≇⪴NaN=NaN","layer":2},{"info":"⊺⇮-30992⫉⨲⊜NaN=Inf","layer":1},{"info":"NaN⪔⊥Inf=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"((⨙⪌($4208$↡⊰⫅$1491$))⇍⊗($1883$⨽∌$1960$⪠⩆⊳))+⪬∐(∮(($9443$+$1513$)⨚($1974$⩺⪪$2087$)))","expression":"((⨙⪌(⊺⇮4208↡⊰⫅⊺⇮1491))⇍⊗(⊺⇮1883⨽∌⊺⇮1960⪠⩆⊳))+⪬∐(∮((⊺⇮9443+⊺⇮1513)⨚(⊺⇮1974⩺⪪⊺⇮2087)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22763,"operation_count":10,"complexity_ratio":2276.3,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4208,"base":10},"right_expr":{"type":"numeric_atoms","value":1491,"base":10}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1883,"base":10},"right_expr":{"type":"numeric_atoms","value":1960,"base":10}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":9443,"base":10},"right_expr":{"type":"numeric_atoms","value":1513,"base":10}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1974,"base":10},"right_expr":{"type":"numeric_atoms","value":2087,"base":10}}}}},"used_operators":["2GS7woTJqF","5uvYHDjeKN","vEGLkm4Z2k","VCtxkLNOzz","JLbD19bQDL","9samAPKr6k","CqXKPLVYql","nREPSIbpBE","W4YGzv6Whe","uvdQJvN4PV"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","BjRHVeLaeN","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⊺⇮732","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4208","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=4208, right_input=1491, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2982","layer":3},{"info":"compute unary expreesion, input=2982, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=1883","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=1960, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=9443","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=9443, right_input=1513, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10956","layer":3},{"info":"number node, value=1974","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=2087, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":3},{"info":"compute binary expreesion, left_input=10956, right_input=1914, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=15190","layer":2},{"info":"compute unary expreesion, input=15190, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=67, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=732","layer":0}],"base":10,"result_base":10,"text":"((⨙⪌(⊺⇮4208↡⊰⫅⊺⇮1491))⇍⊗(⊺⇮1883⨽∌⊺⇮1960⪠⩆⊳))+⪬∐(∮((⊺⇮9443+⊺⇮1513)⨚(⊺⇮1974⩺⪪⊺⇮2087)))=⊺⇮732","reverse_text":"⊺⇮732=((⨙⪌(⊺⇮4208↡⊰⫅⊺⇮1491))⇍⊗(⊺⇮1883⨽∌⊺⇮1960⪠⩆⊳))+⪬∐(∮((⊺⇮9443+⊺⇮1513)⨚(⊺⇮1974⩺⪪⊺⇮2087)))","cot":[{"info":"⊺⇮4208↡⊰⫅⊺⇮1491=⊺⇮2982","layer":3},{"info":"⨙⪌⊺⇮2982=⊺⇮868","layer":2},{"info":"⊺⇮1883⨽∌⊺⇮1960=⊺⇮0","layer":3},{"info":"⊺⇮0⪠⩆⊳=⊺⇮0","layer":2},{"info":"⊺⇮868⇍⊗⊺⇮0=⊺⇮-244","layer":1},{"info":"⊺⇮9443+⊺⇮1513=⊺⇮10956","layer":3},{"info":"⊺⇮1974⩺⪪⊺⇮2087=⊺⇮1914","layer":3},{"info":"⊺⇮10956⨚⊺⇮1914=⊺⇮15190","layer":2},{"info":"∮⊺⇮15190=⊺⇮67","layer":1},{"info":"⊺⇮-244+⪬∐⊺⇮67=⊺⇮732","layer":0}]}
{"id":219,"expression_no_base_symbol":"≸≮((⋗⩬⋾$1700$)⩖⊿($2809$∙∹∝$2337$)⩹($1836$↫)∘$2092$≁↽≥$5036$)","expression":"≸≮((⋗⩬⋾⊺⇮1700)⩖⊿(⊺⇮2809∙∹∝⊺⇮2337)⩹(⊺⇮1836↫)∘⊺⇮2092≁↽≥⊺⇮5036)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":89,"operation_count":8,"complexity_ratio":11.125,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1700,"base":10}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2809,"base":10},"right_expr":{"type":"numeric_atoms","value":2337,"base":10}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1836,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2092,"base":10},"right_expr":{"type":"numeric_atoms","value":5036,"base":10}}}}},"used_operators":["AljMvE3RRm","2Wsdkap16l","RZ5CV9rWsJ","DpFCA1CohY","HmxsFra2vL","Z5m6OM72h2","uPb5QRN0te","ncHt1X6cMc"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⊺⇮1010","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1700","layer":4},{"info":"compute unary expreesion, input=1700, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5100","layer":3},{"info":"number node, value=2809","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=2337, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5100, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1914","layer":2},{"info":"number node, value=1836","layer":4},{"info":"compute unary expreesion, input=1836, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=2092","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=5036, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=41312","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=41312, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=320","layer":2},{"info":"compute binary expreesion, left_input=1914, right_input=320, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=318","layer":1},{"info":"compute unary expreesion, input=318, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=1010","layer":0}],"base":10,"result_base":10,"text":"≸≮((⋗⩬⋾⊺⇮1700)⩖⊿(⊺⇮2809∙∹∝⊺⇮2337)⩹(⊺⇮1836↫)∘⊺⇮2092≁↽≥⊺⇮5036)=⊺⇮1010","reverse_text":"⊺⇮1010=≸≮((⋗⩬⋾⊺⇮1700)⩖⊿(⊺⇮2809∙∹∝⊺⇮2337)⩹(⊺⇮1836↫)∘⊺⇮2092≁↽≥⊺⇮5036)","cot":[{"info":"⋗⩬⋾⊺⇮1700=⊺⇮-5100","layer":3},{"info":"⊺⇮2809∙∹∝⊺⇮2337=⊺⇮0","layer":3},{"info":"⊺⇮-5100⩖⊿⊺⇮0=⊺⇮1914","layer":2},{"info":"⊺⇮1836↫=⊺⇮160","layer":3},{"info":"⊺⇮2092≁↽≥⊺⇮5036=⊺⇮41312","layer":3},{"info":"⊺⇮160∘⊺⇮41312=⊺⇮320","layer":2},{"info":"⊺⇮1914⩹⊺⇮320=⊺⇮318","layer":1},{"info":"≸≮⊺⇮318=⊺⇮1010","layer":0}]}
{"id":220,"expression_no_base_symbol":"⇖(((⇜$2758$)⇩)⇤(($1876$⇷$9141$)⪚($4194$⊲⩕⊾$3149$)))","expression":"⇖(((⇜⊺⇮2758)⇩)⇤((⊺⇮1876⇷⊺⇮9141)⪚(⊺⇮4194⊲⩕⊾⊺⇮3149)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26656,"operation_count":7,"complexity_ratio":3808.0,"tree":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2758,"base":10}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1876,"base":10},"right_expr":{"type":"numeric_atoms","value":9141,"base":10}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4194,"base":10},"right_expr":{"type":"numeric_atoms","value":3149,"base":10}}}}},"used_operators":["tfWHHpNKUN","YSKBFp38Pu","vRio1gEz1j","lFBm8KRb8F","HrjLwUk87U","mp7IySMOzn","DmTXOeWf9t"],"dependent_operators":["2DQ55sFlQl","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2758","layer":4},{"info":"compute unary expreesion, input=2758, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-22472","layer":3},{"info":"compute unary expreesion, input=-22472, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-22379","layer":2},{"info":"number node, value=1876","layer":4},{"info":"number node, value=9141","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=9141, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=18282","layer":3},{"info":"number node, value=4194","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=4194, right_input=3149, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-95224","layer":3},{"info":"compute binary expreesion, left_input=18282, right_input=-95224, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=226656","layer":2},{"info":"compute binary expreesion, left_input=-22379, right_input=226656, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-1018537","layer":1},{"info":"compute unary expreesion, input=-1018537, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":10,"result_base":10,"text":"⇖(((⇜⊺⇮2758)⇩)⇤((⊺⇮1876⇷⊺⇮9141)⪚(⊺⇮4194⊲⩕⊾⊺⇮3149)))=⊺⇮160","reverse_text":"⊺⇮160=⇖(((⇜⊺⇮2758)⇩)⇤((⊺⇮1876⇷⊺⇮9141)⪚(⊺⇮4194⊲⩕⊾⊺⇮3149)))","cot":[{"info":"⇜⊺⇮2758=⊺⇮-22472","layer":3},{"info":"⊺⇮-22472⇩=⊺⇮-22379","layer":2},{"info":"⊺⇮1876⇷⊺⇮9141=⊺⇮18282","layer":3},{"info":"⊺⇮4194⊲⩕⊾⊺⇮3149=⊺⇮-95224","layer":3},{"info":"⊺⇮18282⪚⊺⇮-95224=⊺⇮226656","layer":2},{"info":"⊺⇮-22379⇤⊺⇮226656=⊺⇮-1018537","layer":1},{"info":"⇖⊺⇮-1018537=⊺⇮160","layer":0}]}
{"id":221,"expression_no_base_symbol":"⊊≼∋(⨦⪝($1229$≚⊃≕$5129$⩺⪪(↓⇌$6780$)))","expression":"⊊≼∋(⨦⪝(⊺⇮1229≚⊃≕⊺⇮5129⩺⪪(↓⇌⊺⇮6780)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":178,"operation_count":5,"complexity_ratio":35.6,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1229,"base":10},"right_expr":{"type":"numeric_atoms","value":5129,"base":10}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":6780,"base":10}}}}},"used_operators":["FWz7pXsQhA","SUjycxNXIR","uvdQJvN4PV","Bmrmz2XGnR","PxpmPgHHJV"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1229","layer":4},{"info":"number node, value=5129","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=5129, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-16425","layer":3},{"info":"number node, value=6780","layer":4},{"info":"compute unary expreesion, input=6780, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=6780","layer":3},{"info":"compute binary expreesion, left_input=-16425, right_input=6780, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"compute unary expreesion, input=-1818, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"compute unary expreesion, input=-1884, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊊≼∋(⨦⪝(⊺⇮1229≚⊃≕⊺⇮5129⩺⪪(↓⇌⊺⇮6780)))=NaN","reverse_text":"NaN=⊊≼∋(⨦⪝(⊺⇮1229≚⊃≕⊺⇮5129⩺⪪(↓⇌⊺⇮6780)))","cot":[{"info":"⊺⇮1229≚⊃≕⊺⇮5129=⊺⇮-16425","layer":3},{"info":"↓⇌⊺⇮6780=⊺⇮6780","layer":3},{"info":"⊺⇮-16425⩺⪪⊺⇮6780=⊺⇮-1818","layer":2},{"info":"⨦⪝⊺⇮-1818=⊺⇮-1884","layer":1},{"info":"⊊≼∋⊺⇮-1884=NaN","layer":0}]}
{"id":222,"expression_no_base_symbol":"⩏⊷≩($7271$⨽$6736$)⩷∴(∂$1711$)≥⨤⩑((∓$3489$)⫸⊐$2555$⨰$1456$)","expression":"⩏⊷≩(⊺⇮7271⨽⊺⇮6736)⩷∴(∂⊺⇮1711)≥⨤⩑((∓⊺⇮3489)⫸⊐⊺⇮2555⨰⊺⇮1456)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7343,"operation_count":8,"complexity_ratio":917.875,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7271,"base":10},"right_expr":{"type":"numeric_atoms","value":6736,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1711,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":3489,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2555,"base":10},"right_expr":{"type":"numeric_atoms","value":1456,"base":10}}}}},"used_operators":["uOZ1tnYMDE","gJLn6v0xnP","9FxExcQeMw","8HhzD0ZcuI","Uaa54Peajs","mqXw5SEYmG","OwUj7dcsQK","eewbuw0ToL"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮2167","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7271","layer":4},{"info":"number node, value=6736","layer":4},{"info":"compute binary expreesion, left_input=7271, right_input=6736, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-158621217","layer":3},{"info":"number node, value=1711","layer":4},{"info":"compute unary expreesion, input=1711, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-158621217, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3489","layer":4},{"info":"compute unary expreesion, input=3489, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-57207","layer":3},{"info":"number node, value=2555","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=1456, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1109","layer":3},{"info":"compute binary expreesion, left_input=-57207, right_input=1109, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2167","layer":0}],"base":10,"result_base":10,"text":"⩏⊷≩(⊺⇮7271⨽⊺⇮6736)⩷∴(∂⊺⇮1711)≥⨤⩑((∓⊺⇮3489)⫸⊐⊺⇮2555⨰⊺⇮1456)=⊺⇮2167","reverse_text":"⊺⇮2167=⩏⊷≩(⊺⇮7271⨽⊺⇮6736)⩷∴(∂⊺⇮1711)≥⨤⩑((∓⊺⇮3489)⫸⊐⊺⇮2555⨰⊺⇮1456)","cot":[{"info":"⊺⇮7271⨽⊺⇮6736=⊺⇮-158621217","layer":3},{"info":"∂⊺⇮1711=NaN","layer":3},{"info":"⊺⇮-158621217⩷∴NaN=NaN","layer":2},{"info":"∓⊺⇮3489=⊺⇮-57207","layer":3},{"info":"⊺⇮2555⨰⊺⇮1456=⊺⇮1109","layer":3},{"info":"⊺⇮-57207⫸⊐⊺⇮1109=⊺⇮968","layer":2},{"info":"NaN≥⨤⩑⊺⇮968=⊺⇮1234","layer":1},{"info":"⩏⊷≩⊺⇮1234=⊺⇮2167","layer":0}]}
{"id":223,"expression_no_base_symbol":"(≇⪴(∤↝$5206$))↢($2403$∛$1702$⩧⪆($4687$⪨⊡$4031$))⪒⊣⊆(($1025$⊋≦⊧$6791$)⪘⫢(⨆≐≲$2490$)⫃⨇($1962$⪎↠$1496$∖$1668$↡⊰⫅$1124$))","expression":"(≇⪴(∤↝⊺⇮5206))↢(⊺⇮2403∛⊺⇮1702⩧⪆(⊺⇮4687⪨⊡⊺⇮4031))⪒⊣⊆((⊺⇮1025⊋≦⊧⊺⇮6791)⪘⫢(⨆≐≲⊺⇮2490)⫃⨇(⊺⇮1962⪎↠⊺⇮1496∖⊺⇮1668↡⊰⫅⊺⇮1124))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":42675,"operation_count":14,"complexity_ratio":3048.214285714286,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":5206,"base":10}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2403,"base":10},"right_expr":{"type":"numeric_atoms","value":1702,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4687,"base":10},"right_expr":{"type":"numeric_atoms","value":4031,"base":10}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1025,"base":10},"right_expr":{"type":"numeric_atoms","value":6791,"base":10}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2490,"base":10}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1962,"base":10},"right_expr":{"type":"numeric_atoms","value":1496,"base":10}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1668,"base":10},"right_expr":{"type":"numeric_atoms","value":1124,"base":10}}}}},"used_operators":["eRqsBgTDFp","WR6HLWljOP","zoVPnxeHJ3","3UMq87Qwqg","Ikt5ks8PT7","w2537kitQq","kuIXHzHcAH","09Ly4LVMIf","oacrs7FA3X","oRDoc9rAEX","Bi9z9uYZqW","tXD093vOjl","3tVxb0NHM4","VCtxkLNOzz"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","eewbuw0ToL","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⊺⇮56718","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5206","layer":4},{"info":"compute unary expreesion, input=5206, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=5206","layer":3},{"info":"compute unary expreesion, input=5206, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-14278","layer":2},{"info":"number node, value=2403","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=1702, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=4687","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=4687, right_input=4031, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-14278, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-28556","layer":1},{"info":"number node, value=1025","layer":4},{"info":"number node, value=6791","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=6791, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-7576","layer":3},{"info":"number node, value=2490","layer":4},{"info":"compute unary expreesion, input=2490, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=26917080","layer":3},{"info":"compute binary expreesion, left_input=-7576, right_input=26917080, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=1962","layer":4},{"info":"number node, value=1496","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=1496, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1668","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=1124, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2248","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2248, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=54","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=54, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-248","layer":1},{"info":"compute binary expreesion, left_input=-28556, right_input=-248, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=56718","layer":0}],"base":10,"result_base":10,"text":"(≇⪴(∤↝⊺⇮5206))↢(⊺⇮2403∛⊺⇮1702⩧⪆(⊺⇮4687⪨⊡⊺⇮4031))⪒⊣⊆((⊺⇮1025⊋≦⊧⊺⇮6791)⪘⫢(⨆≐≲⊺⇮2490)⫃⨇(⊺⇮1962⪎↠⊺⇮1496∖⊺⇮1668↡⊰⫅⊺⇮1124))=⊺⇮56718","reverse_text":"⊺⇮56718=(≇⪴(∤↝⊺⇮5206))↢(⊺⇮2403∛⊺⇮1702⩧⪆(⊺⇮4687⪨⊡⊺⇮4031))⪒⊣⊆((⊺⇮1025⊋≦⊧⊺⇮6791)⪘⫢(⨆≐≲⊺⇮2490)⫃⨇(⊺⇮1962⪎↠⊺⇮1496∖⊺⇮1668↡⊰⫅⊺⇮1124))","cot":[{"info":"∤↝⊺⇮5206=⊺⇮5206","layer":3},{"info":"≇⪴⊺⇮5206=⊺⇮-14278","layer":2},{"info":"⊺⇮2403∛⊺⇮1702=⊺⇮-670","layer":3},{"info":"⊺⇮4687⪨⊡⊺⇮4031=⊺⇮0","layer":3},{"info":"⊺⇮-670⩧⪆⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-14278↢⊺⇮0=⊺⇮-28556","layer":1},{"info":"⊺⇮1025⊋≦⊧⊺⇮6791=⊺⇮-7576","layer":3},{"info":"⨆≐≲⊺⇮2490=⊺⇮26917080","layer":3},{"info":"⊺⇮-7576⪘⫢⊺⇮26917080=⊺⇮0","layer":2},{"info":"⊺⇮1962⪎↠⊺⇮1496=⊺⇮160","layer":3},{"info":"⊺⇮1668↡⊰⫅⊺⇮1124=⊺⇮2248","layer":3},{"info":"⊺⇮160∖⊺⇮2248=⊺⇮54","layer":2},{"info":"⊺⇮0⫃⨇⊺⇮54=⊺⇮-248","layer":1},{"info":"⊺⇮-28556⪒⊣⊆⊺⇮-248=⊺⇮56718","layer":0}]}
{"id":224,"expression_no_base_symbol":"$1484$⊮⊟↴$1693$⨿($7038$*$1004$)↺($4156$⪛⫼$4846$∽$5533$+⪬∐$4967$)⪉⨛(↡($2061$⇂≾⫗$2997$⨳⩥⨓(≛$1026$)))","expression":"⊺⇮1484⊮⊟↴⊺⇮1693⨿(⊺⇮7038*⊺⇮1004)↺(⊺⇮4156⪛⫼⊺⇮4846∽⊺⇮5533+⪬∐⊺⇮4967)⪉⨛(↡(⊺⇮2061⇂≾⫗⊺⇮2997⨳⩥⨓(≛⊺⇮1026)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1588,"operation_count":12,"complexity_ratio":132.33333333333334,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1484,"base":10},"right_expr":{"type":"numeric_atoms","value":1693,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7038,"base":10},"right_expr":{"type":"numeric_atoms","value":1004,"base":10}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4156,"base":10},"right_expr":{"type":"numeric_atoms","value":4846,"base":10}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5533,"base":10},"right_expr":{"type":"numeric_atoms","value":4967,"base":10}}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2061,"base":10},"right_expr":{"type":"numeric_atoms","value":2997,"base":10}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1026,"base":10}}}}},"used_operators":["EWw2JM7wp4","7j4O788W3g","abYXlopdE0","QDVgd2eftb","9HNa5Wba9A","y4ImoPnbV5","hyuBjUqXlG","2GS7woTJqF","MXaNJeIAZ3","nCS4ZIUYfx","aBQ6xLxuTc","W7eaUhjymW"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","NTOWxs364D","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","g55IO6H4Gj","D4vGDi5EA2","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"⊺⇮129626","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=1693, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=7038","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=7038, right_input=1004, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7066152","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7066152, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"number node, value=4156","layer":4},{"info":"number node, value=4846","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=4846, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=5533","layer":4},{"info":"number node, value=4967","layer":4},{"info":"compute binary expreesion, left_input=5533, right_input=4967, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-16599","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-16599, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=45135","layer":2},{"info":"compute binary expreesion, left_input=121, right_input=45135, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=45135","layer":1},{"info":"number node, value=2061","layer":4},{"info":"number node, value=2997","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=2997, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-10, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=666","layer":2},{"info":"compute unary expreesion, input=666, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=5994","layer":1},{"info":"compute binary expreesion, left_input=45135, right_input=5994, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=129626","layer":0}],"base":10,"result_base":10,"text":"⊺⇮1484⊮⊟↴⊺⇮1693⨿(⊺⇮7038*⊺⇮1004)↺(⊺⇮4156⪛⫼⊺⇮4846∽⊺⇮5533+⪬∐⊺⇮4967)⪉⨛(↡(⊺⇮2061⇂≾⫗⊺⇮2997⨳⩥⨓(≛⊺⇮1026)))=⊺⇮129626","reverse_text":"⊺⇮129626=⊺⇮1484⊮⊟↴⊺⇮1693⨿(⊺⇮7038*⊺⇮1004)↺(⊺⇮4156⪛⫼⊺⇮4846∽⊺⇮5533+⪬∐⊺⇮4967)⪉⨛(↡(⊺⇮2061⇂≾⫗⊺⇮2997⨳⩥⨓(≛⊺⇮1026)))","cot":[{"info":"⊺⇮1484⊮⊟↴⊺⇮1693=⊺⇮0","layer":3},{"info":"⊺⇮7038*⊺⇮1004=⊺⇮7066152","layer":3},{"info":"⊺⇮0⨿⊺⇮7066152=⊺⇮121","layer":2},{"info":"⊺⇮4156⪛⫼⊺⇮4846=⊺⇮968","layer":3},{"info":"⊺⇮5533+⪬∐⊺⇮4967=⊺⇮-16599","layer":3},{"info":"⊺⇮968∽⊺⇮-16599=⊺⇮45135","layer":2},{"info":"⊺⇮121↺⊺⇮45135=⊺⇮45135","layer":1},{"info":"⊺⇮2061⇂≾⫗⊺⇮2997=⊺⇮-676","layer":3},{"info":"≛⊺⇮1026=⊺⇮-10","layer":3},{"info":"⊺⇮-676⨳⩥⨓⊺⇮-10=⊺⇮666","layer":2},{"info":"↡⊺⇮666=⊺⇮5994","layer":1},{"info":"⊺⇮45135⪉⨛⊺⇮5994=⊺⇮129626","layer":0}]}
{"id":225,"expression_no_base_symbol":"((↩⪖$1826$)⪒⊣⊆(⇖⫷⫕$2006$))↹⊜(($8393$⨑≵⋬$1337$)⊋≦⊧$1486$⪪$4191$)∲⫓(⪛⨧((⨂⪏⇭$4884$)⪒$2083$⫁⪎$2204$))","expression":"((↩⪖⊺⇮1826)⪒⊣⊆(⇖⫷⫕⊺⇮2006))↹⊜((⊺⇮8393⨑≵⋬⊺⇮1337)⊋≦⊧⊺⇮1486⪪⊺⇮4191)∲⫓(⪛⨧((⨂⪏⇭⊺⇮4884)⪒⊺⇮2083⫁⪎⊺⇮2204))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5460,"operation_count":12,"complexity_ratio":455.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1826,"base":10}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2006,"base":10}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":8393,"base":10},"right_expr":{"type":"numeric_atoms","value":1337,"base":10}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1486,"base":10},"right_expr":{"type":"numeric_atoms","value":4191,"base":10}}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":4884,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2083,"base":10},"right_expr":{"type":"numeric_atoms","value":2204,"base":10}}}}},"used_operators":["i8ToyICDmI","9bazX3JMtO","eRqsBgTDFp","fG6uBQFnGz","UHmRx3INFg","oRDoc9rAEX","XnXgA4xnOs","xD69zh8xqp","6NJAcO2OWT","f6k1SAg4EE","AYdpE9sXAk","xRrnTEsQ6j"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⊺⇮-1697612","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1826","layer":4},{"info":"compute unary expreesion, input=1826, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-13938","layer":3},{"info":"number node, value=2006","layer":4},{"info":"compute unary expreesion, input=2006, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-13938, right_input=2822, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=33622","layer":2},{"info":"number node, value=8393","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=8393, right_input=1337, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=33985","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=4191","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=4191, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-220475","layer":3},{"info":"compute binary expreesion, left_input=33985, right_input=-220475, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=441190","layer":2},{"info":"compute binary expreesion, left_input=33622, right_input=441190, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1697612","layer":1},{"info":"number node, value=4884","layer":4},{"info":"compute unary expreesion, input=4884, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=13673","layer":3},{"info":"number node, value=2083","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=2204, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-121","layer":3},{"info":"compute binary expreesion, left_input=13673, right_input=-121, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13552","layer":2},{"info":"compute unary expreesion, input=-13552, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-25703","layer":1},{"info":"compute binary expreesion, left_input=-1697612, right_input=-25703, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1697612","layer":0}],"base":10,"result_base":10,"text":"((↩⪖⊺⇮1826)⪒⊣⊆(⇖⫷⫕⊺⇮2006))↹⊜((⊺⇮8393⨑≵⋬⊺⇮1337)⊋≦⊧⊺⇮1486⪪⊺⇮4191)∲⫓(⪛⨧((⨂⪏⇭⊺⇮4884)⪒⊺⇮2083⫁⪎⊺⇮2204))=⊺⇮-1697612","reverse_text":"⊺⇮-1697612=((↩⪖⊺⇮1826)⪒⊣⊆(⇖⫷⫕⊺⇮2006))↹⊜((⊺⇮8393⨑≵⋬⊺⇮1337)⊋≦⊧⊺⇮1486⪪⊺⇮4191)∲⫓(⪛⨧((⨂⪏⇭⊺⇮4884)⪒⊺⇮2083⫁⪎⊺⇮2204))","cot":[{"info":"↩⪖⊺⇮1826=⊺⇮-13938","layer":3},{"info":"⇖⫷⫕⊺⇮2006=⊺⇮2822","layer":3},{"info":"⊺⇮-13938⪒⊣⊆⊺⇮2822=⊺⇮33622","layer":2},{"info":"⊺⇮8393⨑≵⋬⊺⇮1337=⊺⇮33985","layer":3},{"info":"⊺⇮1486⪪⊺⇮4191=⊺⇮-220475","layer":3},{"info":"⊺⇮33985⊋≦⊧⊺⇮-220475=⊺⇮441190","layer":2},{"info":"⊺⇮33622↹⊜⊺⇮441190=⊺⇮-1697612","layer":1},{"info":"⨂⪏⇭⊺⇮4884=⊺⇮13673","layer":3},{"info":"⊺⇮2083⫁⪎⊺⇮2204=⊺⇮-121","layer":3},{"info":"⊺⇮13673⪒⊺⇮-121=⊺⇮-13552","layer":2},{"info":"⪛⨧⊺⇮-13552=⊺⇮-25703","layer":1},{"info":"⊺⇮-1697612∲⫓⊺⇮-25703=⊺⇮-1697612","layer":0}]}
{"id":226,"expression_no_base_symbol":"(($3140$%$4409$)+⇶⊼$4145$⊴$2785$)↳≱($4537$⨂≜$1125$⇽⩪)↳≱((⨣⨃⇪(≪$1473$))⪠⩆⊳)","expression":"((⊺⇮3140%⊺⇮4409)+⇶⊼⊺⇮4145⊴⊺⇮2785)↳≱(⊺⇮4537⨂≜⊺⇮1125⇽⩪)↳≱((⨣⨃⇪(≪⊺⇮1473))⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8640,"operation_count":10,"complexity_ratio":864.0,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3140,"base":10},"right_expr":{"type":"numeric_atoms","value":4409,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4145,"base":10},"right_expr":{"type":"numeric_atoms","value":2785,"base":10}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4537,"base":10},"right_expr":{"type":"numeric_atoms","value":1125,"base":10}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1473,"base":10}}}}},"used_operators":["JwTKLfZU96","TpPTUOHfaN","k8jYdgA6NY","Nsiff2A1zJ","FonBHBYJbU","k1SHOSEABc","JLbD19bQDL","AcOhelriW5","Qtd6bqUJcN"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3140","layer":4},{"info":"number node, value=4409","layer":4},{"info":"compute binary expreesion, left_input=3140, right_input=4409, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3140","layer":3},{"info":"number node, value=4145","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=4145, right_input=2785, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3140, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4537","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=4537, right_input=1125, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1473","layer":4},{"info":"compute unary expreesion, input=1473, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute unary expreesion, input=913, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute unary expreesion, input=1405, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3140%⊺⇮4409)+⇶⊼⊺⇮4145⊴⊺⇮2785)↳≱(⊺⇮4537⨂≜⊺⇮1125⇽⩪)↳≱((⨣⨃⇪(≪⊺⇮1473))⪠⩆⊳)=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮3140%⊺⇮4409)+⇶⊼⊺⇮4145⊴⊺⇮2785)↳≱(⊺⇮4537⨂≜⊺⇮1125⇽⩪)↳≱((⨣⨃⇪(≪⊺⇮1473))⪠⩆⊳)","cot":[{"info":"⊺⇮3140%⊺⇮4409=⊺⇮3140","layer":3},{"info":"⊺⇮4145⊴⊺⇮2785=NaN","layer":3},{"info":"⊺⇮3140+⇶⊼NaN=NaN","layer":2},{"info":"⊺⇮4537⨂≜⊺⇮1125=NaN","layer":3},{"info":"NaN⇽⩪=NaN","layer":2},{"info":"NaN↳≱NaN=⊺⇮0","layer":1},{"info":"≪⊺⇮1473=⊺⇮913","layer":3},{"info":"⨣⨃⇪⊺⇮913=⊺⇮1405","layer":2},{"info":"⊺⇮1405⪠⩆⊳=⊺⇮0","layer":1},{"info":"⊺⇮0↳≱⊺⇮0=⊺⇮0","layer":0}]}
{"id":227,"expression_no_base_symbol":"((↯⪼$1969$⫉⨲⊜$1594$)∙⊟(⫓⪴$1122$)⩌⋺$4757$⫁$3041$)⨂≜((⪁⇼($6534$∛$1612$))⪪(↣≠⋷$4357$⋛$2330$))","expression":"((↯⪼⊺⇮1969⫉⨲⊜⊺⇮1594)∙⊟(⫓⪴⊺⇮1122)⩌⋺⊺⇮4757⫁⊺⇮3041)⨂≜((⪁⇼(⊺⇮6534∛⊺⇮1612))⪪(↣≠⋷⊺⇮4357⋛⊺⇮2330))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25703,"operation_count":12,"complexity_ratio":2141.9166666666665,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1969,"base":10},"right_expr":{"type":"numeric_atoms","value":1594,"base":10}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1122,"base":10}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4757,"base":10},"right_expr":{"type":"numeric_atoms","value":3041,"base":10}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":6534,"base":10},"right_expr":{"type":"numeric_atoms","value":1612,"base":10}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4357,"base":10},"right_expr":{"type":"numeric_atoms","value":2330,"base":10}}}}},"used_operators":["k1SHOSEABc","SxTAKzQCrw","8jW3W4yZS5","WhqkvtTD3t","g7Hmc5v1ko","eLxqMNBOBk","0ajvFaJAv0","xD69zh8xqp","ZNVVrZ94lY","w2537kitQq","Asc51vEJeQ","YbUVn0Rbpy"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","cHh1gJQ2o6","AHs5Up7iyr","FU0Cs4j7VP","JclMnS0uGI","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","XhwjNDsVaA","AHs5Up7iyr","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1969","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1594, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1258884","layer":3},{"info":"number node, value=4757","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=4757, right_input=3041, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1258884, right_input=160, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-1259165","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-1259165, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22558","layer":1},{"info":"number node, value=6534","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=6534, right_input=1612, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=4357","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=4357, right_input=2330, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-92979","layer":3},{"info":"compute unary expreesion, input=-92979, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-59811","layer":1},{"info":"compute binary expreesion, left_input=22558, right_input=-59811, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↯⪼⊺⇮1969⫉⨲⊜⊺⇮1594)∙⊟(⫓⪴⊺⇮1122)⩌⋺⊺⇮4757⫁⊺⇮3041)⨂≜((⪁⇼(⊺⇮6534∛⊺⇮1612))⪪(↣≠⋷⊺⇮4357⋛⊺⇮2330))=NaN","reverse_text":"NaN=((↯⪼⊺⇮1969⫉⨲⊜⊺⇮1594)∙⊟(⫓⪴⊺⇮1122)⩌⋺⊺⇮4757⫁⊺⇮3041)⨂≜((⪁⇼(⊺⇮6534∛⊺⇮1612))⪪(↣≠⋷⊺⇮4357⋛⊺⇮2330))","cot":[{"info":"⊺⇮1969⫉⨲⊜⊺⇮1594=⊺⇮0","layer":3},{"info":"↯⪼⊺⇮0=⊺⇮-21","layer":2},{"info":"⫓⪴⊺⇮1122=⊺⇮1258884","layer":3},{"info":"⊺⇮4757⫁⊺⇮3041=⊺⇮160","layer":3},{"info":"⊺⇮1258884⩌⋺⊺⇮160=⊺⇮-1259165","layer":2},{"info":"⊺⇮-21∙⊟⊺⇮-1259165=⊺⇮22558","layer":1},{"info":"⊺⇮6534∛⊺⇮1612=⊺⇮67","layer":3},{"info":"⪁⇼⊺⇮67=⊺⇮422","layer":2},{"info":"⊺⇮4357⋛⊺⇮2330=⊺⇮-92979","layer":3},{"info":"↣≠⋷⊺⇮-92979=NaN","layer":2},{"info":"⊺⇮422⪪NaN=⊺⇮-59811","layer":1},{"info":"⊺⇮22558⨂≜⊺⇮-59811=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"((≉($4817$⇼⇔∾$6657$))⩱)⫲≸⪮($6685$⪡$1023$)⨸($2121$%$8434$)∌(↩⪖($7613$⊭↱$4414$))","expression":"((≉(⊺⇮4817⇼⇔∾⊺⇮6657))⩱)⫲≸⪮(⊺⇮6685⪡⊺⇮1023)⨸(⊺⇮2121%⊺⇮8434)∌(↩⪖(⊺⇮7613⊭↱⊺⇮4414))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14760,"operation_count":10,"complexity_ratio":1476.0,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4817,"base":10},"right_expr":{"type":"numeric_atoms","value":6657,"base":10}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":6685,"base":10},"right_expr":{"type":"numeric_atoms","value":1023,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2121,"base":10},"right_expr":{"type":"numeric_atoms","value":8434,"base":10}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7613,"base":10},"right_expr":{"type":"numeric_atoms","value":4414,"base":10}}}}},"used_operators":["P3lXMJvFrc","uyq1hVkAcj","e1ybzncUwg","tifHPKVTfV","8cLx32lpNA","KmoU8R5UQR","oraRL2iQuh","k8jYdgA6NY","fG6uBQFnGz","COABgblf1C"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-14476","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4817","layer":4},{"info":"number node, value=6657","layer":4},{"info":"compute binary expreesion, left_input=4817, right_input=6657, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1840","layer":3},{"info":"compute unary expreesion, input=1840, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2371","layer":2},{"info":"compute unary expreesion, input=2371, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-14476","layer":1},{"info":"number node, value=6685","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=6685, right_input=1023, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=2121","layer":4},{"info":"number node, value=8434","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=8434, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2121","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=2121, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=214","layer":2},{"info":"number node, value=7613","layer":4},{"info":"number node, value=4414","layer":4},{"info":"compute binary expreesion, left_input=7613, right_input=4414, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6393","layer":3},{"info":"compute unary expreesion, input=-6393, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=87308","layer":2},{"info":"compute binary expreesion, left_input=214, right_input=87308, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-87308","layer":1},{"info":"compute binary expreesion, left_input=-14476, right_input=-87308, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-14476","layer":0}],"base":10,"result_base":10,"text":"((≉(⊺⇮4817⇼⇔∾⊺⇮6657))⩱)⫲≸⪮(⊺⇮6685⪡⊺⇮1023)⨸(⊺⇮2121%⊺⇮8434)∌(↩⪖(⊺⇮7613⊭↱⊺⇮4414))=⊺⇮-14476","reverse_text":"⊺⇮-14476=((≉(⊺⇮4817⇼⇔∾⊺⇮6657))⩱)⫲≸⪮(⊺⇮6685⪡⊺⇮1023)⨸(⊺⇮2121%⊺⇮8434)∌(↩⪖(⊺⇮7613⊭↱⊺⇮4414))","cot":[{"info":"⊺⇮4817⇼⇔∾⊺⇮6657=⊺⇮1840","layer":3},{"info":"≉⊺⇮1840=⊺⇮2371","layer":2},{"info":"⊺⇮2371⩱=⊺⇮-14476","layer":1},{"info":"⊺⇮6685⪡⊺⇮1023=⊺⇮107","layer":3},{"info":"⊺⇮2121%⊺⇮8434=⊺⇮2121","layer":3},{"info":"⊺⇮107⨸⊺⇮2121=⊺⇮214","layer":2},{"info":"⊺⇮7613⊭↱⊺⇮4414=⊺⇮-6393","layer":3},{"info":"↩⪖⊺⇮-6393=⊺⇮87308","layer":2},{"info":"⊺⇮214∌⊺⇮87308=⊺⇮-87308","layer":1},{"info":"⊺⇮-14476⫲≸⪮⊺⇮-87308=⊺⇮-14476","layer":0}]}
{"id":229,"expression_no_base_symbol":"($1985$⫞⩸⩒$2117$)≁↽≥($7564$≥⨤⩑$2136$)∘(⋼∭⪍$1028$⪬$2199$)≒∊(⊗($3088$⨭⪣$1239$))∳⫺($2435$⪄$1728$)⨑⩅≇(⩏⊷≩$4545$)","expression":"(⊺⇮1985⫞⩸⩒⊺⇮2117)≁↽≥(⊺⇮7564≥⨤⩑⊺⇮2136)∘(⋼∭⪍⊺⇮1028⪬⊺⇮2199)≒∊(⊗(⊺⇮3088⨭⪣⊺⇮1239))∳⫺(⊺⇮2435⪄⊺⇮1728)⨑⩅≇(⩏⊷≩⊺⇮4545)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":958,"operation_count":13,"complexity_ratio":73.6923076923077,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1985,"base":10},"right_expr":{"type":"numeric_atoms","value":2117,"base":10}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":7564,"base":10},"right_expr":{"type":"numeric_atoms","value":2136,"base":10}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1028,"base":10},"right_expr":{"type":"numeric_atoms","value":2199,"base":10}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3088,"base":10},"right_expr":{"type":"numeric_atoms","value":1239,"base":10}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2435,"base":10},"right_expr":{"type":"numeric_atoms","value":1728,"base":10}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":4545,"base":10}}}}},"used_operators":["5KTvxBwnZo","Z5m6OM72h2","ncHt1X6cMc","XGcMNugi78","gJLn6v0xnP","DbCuESL50I","Ez1Nq5fNfI","AzXXKTstlj","RhiyfpczSx","kn8WO9XteQ","h92wMvzauj","SUmda5xLS4","uOZ1tnYMDE"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eH2TOUuTDT","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","23Mk6UjR3U","12rbrZMWeM"],"result":"⊺⇮35001","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1985","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=2117, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2117","layer":3},{"info":"number node, value=7564","layer":4},{"info":"number node, value=2136","layer":4},{"info":"compute binary expreesion, left_input=7564, right_input=2136, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2117, right_input=1234, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=34897","layer":2},{"info":"number node, value=1028","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=2199, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-3196","layer":2},{"info":"compute binary expreesion, left_input=34897, right_input=-3196, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-34517","layer":1},{"info":"number node, value=3088","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=1239, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1809","layer":3},{"info":"compute unary expreesion, input=1809, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3618","layer":2},{"info":"number node, value=2435","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=2435, right_input=1728, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-363381","layer":3},{"info":"number node, value=4545","layer":4},{"info":"compute unary expreesion, input=4545, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=8789","layer":3},{"info":"compute binary expreesion, left_input=-363381, right_input=8789, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-3618, right_input=-55, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-14300","layer":1},{"info":"compute binary expreesion, left_input=-34517, right_input=-14300, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=35001","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1985⫞⩸⩒⊺⇮2117)≁↽≥(⊺⇮7564≥⨤⩑⊺⇮2136)∘(⋼∭⪍⊺⇮1028⪬⊺⇮2199)≒∊(⊗(⊺⇮3088⨭⪣⊺⇮1239))∳⫺(⊺⇮2435⪄⊺⇮1728)⨑⩅≇(⩏⊷≩⊺⇮4545)=⊺⇮35001","reverse_text":"⊺⇮35001=(⊺⇮1985⫞⩸⩒⊺⇮2117)≁↽≥(⊺⇮7564≥⨤⩑⊺⇮2136)∘(⋼∭⪍⊺⇮1028⪬⊺⇮2199)≒∊(⊗(⊺⇮3088⨭⪣⊺⇮1239))∳⫺(⊺⇮2435⪄⊺⇮1728)⨑⩅≇(⩏⊷≩⊺⇮4545)","cot":[{"info":"⊺⇮1985⫞⩸⩒⊺⇮2117=⊺⇮2117","layer":3},{"info":"⊺⇮7564≥⨤⩑⊺⇮2136=⊺⇮1234","layer":3},{"info":"⊺⇮2117≁↽≥⊺⇮1234=⊺⇮34897","layer":2},{"info":"⊺⇮1028⪬⊺⇮2199=⊺⇮1234","layer":3},{"info":"⋼∭⪍⊺⇮1234=⊺⇮-3196","layer":2},{"info":"⊺⇮34897∘⊺⇮-3196=⊺⇮-34517","layer":1},{"info":"⊺⇮3088⨭⪣⊺⇮1239=⊺⇮1809","layer":3},{"info":"⊗⊺⇮1809=⊺⇮-3618","layer":2},{"info":"⊺⇮2435⪄⊺⇮1728=⊺⇮-363381","layer":3},{"info":"⩏⊷≩⊺⇮4545=⊺⇮8789","layer":3},{"info":"⊺⇮-363381⨑⩅≇⊺⇮8789=⊺⇮-55","layer":2},{"info":"⊺⇮-3618∳⫺⊺⇮-55=⊺⇮-14300","layer":1},{"info":"⊺⇮-34517≒∊⊺⇮-14300=⊺⇮35001","layer":0}]}
{"id":230,"expression_no_base_symbol":"($1245$∼$1318$≀⩗∶(⊀$2234$))⪪($4142$⪒⊣⊆$6808$⊿∆)⫔⩽⩺(⨡↴(⊢≑≆($3916$⨚$3066$)))","expression":"(⊺⇮1245∼⊺⇮1318≀⩗∶(⊀⊺⇮2234))⪪(⊺⇮4142⪒⊣⊆⊺⇮6808⊿∆)⫔⩽⩺(⨡↴(⊢≑≆(⊺⇮3916⨚⊺⇮3066)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":185,"operation_count":10,"complexity_ratio":18.5,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1245,"base":10},"right_expr":{"type":"numeric_atoms","value":1318,"base":10}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2234,"base":10}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4142,"base":10},"right_expr":{"type":"numeric_atoms","value":6808,"base":10}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3916,"base":10},"right_expr":{"type":"numeric_atoms","value":3066,"base":10}}}}},"used_operators":["i9eR4S00cU","xD69zh8xqp","8INZBEW696","DyGG3AbaNP","oPMjh9089D","fv3ZujxkQL","eRqsBgTDFp","liw5iZPkLH","27wFxooxGf","nREPSIbpBE"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","FU0Cs4j7VP","JclMnS0uGI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","NTOWxs364D","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","P8v4zCKN1o","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1245","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=1318, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2234","layer":4},{"info":"compute unary expreesion, input=2234, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8674","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8674, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"number node, value=4142","layer":4},{"info":"number node, value=6808","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=6808, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8284","layer":3},{"info":"compute unary expreesion, input=8284, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-16689","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16689, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"number node, value=3916","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=3916, right_input=3066, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3498","layer":3},{"info":"compute unary expreesion, input=-3498, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=7189","layer":2},{"info":"compute unary expreesion, input=7189, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=8238","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8238, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1245∼⊺⇮1318≀⩗∶(⊀⊺⇮2234))⪪(⊺⇮4142⪒⊣⊆⊺⇮6808⊿∆)⫔⩽⩺(⨡↴(⊢≑≆(⊺⇮3916⨚⊺⇮3066)))=NaN","reverse_text":"NaN=(⊺⇮1245∼⊺⇮1318≀⩗∶(⊀⊺⇮2234))⪪(⊺⇮4142⪒⊣⊆⊺⇮6808⊿∆)⫔⩽⩺(⨡↴(⊢≑≆(⊺⇮3916⨚⊺⇮3066)))","cot":[{"info":"⊺⇮1245∼⊺⇮1318=NaN","layer":3},{"info":"⊀⊺⇮2234=⊺⇮8674","layer":3},{"info":"NaN≀⩗∶⊺⇮8674=NaN","layer":2},{"info":"⊺⇮4142⪒⊣⊆⊺⇮6808=⊺⇮8284","layer":3},{"info":"⊺⇮8284⊿∆=⊺⇮-16689","layer":2},{"info":"NaN⪪⊺⇮-16689=NaN","layer":1},{"info":"⊺⇮3916⨚⊺⇮3066=⊺⇮-3498","layer":3},{"info":"⊢≑≆⊺⇮-3498=⊺⇮7189","layer":2},{"info":"⨡↴⊺⇮7189=⊺⇮8238","layer":1},{"info":"NaN⫔⩽⩺⊺⇮8238=NaN","layer":0}]}
{"id":231,"expression_no_base_symbol":"↪⫪⫘((⨈⪑($3312$⪊≅))∌↝($2235$≥⨤⩑$2582$⨸⪁$4107$⨿$2815$))","expression":"↪⫪⫘((⨈⪑(⊺⇮3312⪊≅))∌↝(⊺⇮2235≥⨤⩑⊺⇮2582⨸⪁⊺⇮4107⨿⊺⇮2815))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":365,"operation_count":7,"complexity_ratio":52.142857142857146,"tree":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":3312,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2235,"base":10},"right_expr":{"type":"numeric_atoms","value":2582,"base":10}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4107,"base":10},"right_expr":{"type":"numeric_atoms","value":2815,"base":10}}}}},"used_operators":["9dWsAM3GFt","9Isq31Ruls","mp94q5OcYM","bjFbhXSADs","g55IO6H4Gj","gJLn6v0xnP","abYXlopdE0"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","W4YGzv6Whe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⊺⇮20","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3312","layer":4},{"info":"compute unary expreesion, input=3312, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=2235","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=2582, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=4107","layer":4},{"info":"number node, value=2815","layer":4},{"info":"compute binary expreesion, left_input=4107, right_input=2815, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-319, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1830","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=1830, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":0}],"base":10,"result_base":10,"text":"↪⫪⫘((⨈⪑(⊺⇮3312⪊≅))∌↝(⊺⇮2235≥⨤⩑⊺⇮2582⨸⪁⊺⇮4107⨿⊺⇮2815))=⊺⇮20","reverse_text":"⊺⇮20=↪⫪⫘((⨈⪑(⊺⇮3312⪊≅))∌↝(⊺⇮2235≥⨤⩑⊺⇮2582⨸⪁⊺⇮4107⨿⊺⇮2815))","cot":[{"info":"⊺⇮3312⪊≅=⊺⇮0","layer":3},{"info":"⨈⪑⊺⇮0=⊺⇮868","layer":2},{"info":"⊺⇮2235≥⨤⩑⊺⇮2582=⊺⇮1234","layer":3},{"info":"⊺⇮4107⨿⊺⇮2815=⊺⇮-319","layer":3},{"info":"⊺⇮1234⨸⪁⊺⇮-319=⊺⇮1830","layer":2},{"info":"⊺⇮868∌↝⊺⇮1830=⊺⇮0","layer":1},{"info":"↪⫪⫘⊺⇮0=⊺⇮20","layer":0}]}
{"id":232,"expression_no_base_symbol":"(⊀((≸≮$1537$)∷(≀↧⇸$1770$)))⇴∐(($1913$⪨⊡$1127$∕⩚$2714$⨔⇊$2900$)⋭≵$2720$⇻⋧≁$1061$⩦($4107$∓⋝$2012$))","expression":"(⊀((≸≮⊺⇮1537)∷(≀↧⇸⊺⇮1770)))⇴∐((⊺⇮1913⪨⊡⊺⇮1127∕⩚⊺⇮2714⨔⇊⊺⇮2900)⋭≵⊺⇮2720⇻⋧≁⊺⇮1061⩦(⊺⇮4107∓⋝⊺⇮2012))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17327,"operation_count":12,"complexity_ratio":1443.9166666666667,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1537,"base":10}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1770,"base":10}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1913,"base":10},"right_expr":{"type":"numeric_atoms","value":1127,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2714,"base":10},"right_expr":{"type":"numeric_atoms","value":2900,"base":10}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2720,"base":10},"right_expr":{"type":"numeric_atoms","value":1061,"base":10}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4107,"base":10},"right_expr":{"type":"numeric_atoms","value":2012,"base":10}}}}},"used_operators":["HnzytWxmAO","oPMjh9089D","D3AQDKkPcf","AljMvE3RRm","ljTHtUsqzn","jBncVCNhdl","z9ffQ9n5Zr","kuIXHzHcAH","JclMnS0uGI","0kmYd0q39Y","jCPkEVoL5K","PoHhknlbAi"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","XPYlsWDdGa","23Mk6UjR3U","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1537","layer":4},{"info":"compute unary expreesion, input=1537, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=1770","layer":4},{"info":"compute unary expreesion, input=1770, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3540","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3540, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3540","layer":2},{"info":"compute unary expreesion, input=3540, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=13898","layer":1},{"info":"number node, value=1913","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1127, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2714","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=2714, right_input=2900, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2900","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2900, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":2},{"info":"number node, value=2720","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=1061, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=4107","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=4107, right_input=2012, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=67, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-5701","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5701, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=13898, right_input=67, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊀((≸≮⊺⇮1537)∷(≀↧⇸⊺⇮1770)))⇴∐((⊺⇮1913⪨⊡⊺⇮1127∕⩚⊺⇮2714⨔⇊⊺⇮2900)⋭≵⊺⇮2720⇻⋧≁⊺⇮1061⩦(⊺⇮4107∓⋝⊺⇮2012))=NaN","reverse_text":"NaN=(⊀((≸≮⊺⇮1537)∷(≀↧⇸⊺⇮1770)))⇴∐((⊺⇮1913⪨⊡⊺⇮1127∕⩚⊺⇮2714⨔⇊⊺⇮2900)⋭≵⊺⇮2720⇻⋧≁⊺⇮1061⩦(⊺⇮4107∓⋝⊺⇮2012))","cot":[{"info":"≸≮⊺⇮1537=NaN","layer":3},{"info":"≀↧⇸⊺⇮1770=⊺⇮3540","layer":3},{"info":"NaN∷⊺⇮3540=⊺⇮3540","layer":2},{"info":"⊀⊺⇮3540=⊺⇮13898","layer":1},{"info":"⊺⇮1913⪨⊡⊺⇮1127=⊺⇮0","layer":3},{"info":"⊺⇮2714⨔⇊⊺⇮2900=⊺⇮2900","layer":3},{"info":"⊺⇮0∕⩚⊺⇮2900=NaN","layer":2},{"info":"⊺⇮2720⇻⋧≁⊺⇮1061=⊺⇮-447","layer":3},{"info":"⊺⇮4107∓⋝⊺⇮2012=⊺⇮67","layer":3},{"info":"⊺⇮-447⩦⊺⇮67=⊺⇮-5701","layer":2},{"info":"NaN⋭≵⊺⇮-5701=⊺⇮67","layer":1},{"info":"⊺⇮13898⇴∐⊺⇮67=NaN","layer":0}]}
{"id":233,"expression_no_base_symbol":"⨭⩧⫛(($1895$⪍↜⋙$4947$↫)⊉≛↸($1108$⨼⩣$1186$)⨸($2492$∖$1137$))","expression":"⨭⩧⫛((⊺⇮1895⪍↜⋙⊺⇮4947↫)⊉≛↸(⊺⇮1108⨼⩣⊺⇮1186)⨸(⊺⇮2492∖⊺⇮1137))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":783,"operation_count":7,"complexity_ratio":111.85714285714286,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1895,"base":10},"right_expr":{"type":"numeric_atoms","value":4947,"base":10}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1108,"base":10},"right_expr":{"type":"numeric_atoms","value":1186,"base":10}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2492,"base":10},"right_expr":{"type":"numeric_atoms","value":1137,"base":10}}}}},"used_operators":["g21JL6JxX7","DZ8iAZOCBD","uPb5QRN0te","L05ObWFQCd","KmoU8R5UQR","JxwMv5le6e","tXD093vOjl"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1895","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=4947, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-20152","layer":3},{"info":"compute unary expreesion, input=-20152, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=-20152","layer":2},{"info":"number node, value=1108","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1186, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2492","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=1137, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-20152, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨭⩧⫛((⊺⇮1895⪍↜⋙⊺⇮4947↫)⊉≛↸(⊺⇮1108⨼⩣⊺⇮1186)⨸(⊺⇮2492∖⊺⇮1137))=NaN","reverse_text":"NaN=⨭⩧⫛((⊺⇮1895⪍↜⋙⊺⇮4947↫)⊉≛↸(⊺⇮1108⨼⩣⊺⇮1186)⨸(⊺⇮2492∖⊺⇮1137))","cot":[{"info":"⊺⇮1895⪍↜⋙⊺⇮4947=⊺⇮-20152","layer":3},{"info":"⊺⇮-20152↫=⊺⇮-20152","layer":2},{"info":"⊺⇮1108⨼⩣⊺⇮1186=NaN","layer":3},{"info":"⊺⇮2492∖⊺⇮1137=⊺⇮0","layer":3},{"info":"NaN⨸⊺⇮0=NaN","layer":2},{"info":"⊺⇮-20152⊉≛↸NaN=NaN","layer":1},{"info":"⨭⩧⫛NaN=NaN","layer":0}]}
{"id":234,"expression_no_base_symbol":"↞≼(($1222$⪛$6127$)⫗⊷⫓($3802$⨂≜$1609$)⩚⊴⇥($1140$⊢$3368$)⫘(⨈⫕$1085$))","expression":"↞≼((⊺⇮1222⪛⊺⇮6127)⫗⊷⫓(⊺⇮3802⨂≜⊺⇮1609)⩚⊴⇥(⊺⇮1140⊢⊺⇮3368)⫘(⨈⫕⊺⇮1085))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7398,"operation_count":8,"complexity_ratio":924.75,"tree":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1222,"base":10},"right_expr":{"type":"numeric_atoms","value":6127,"base":10}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3802,"base":10},"right_expr":{"type":"numeric_atoms","value":1609,"base":10}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1140,"base":10},"right_expr":{"type":"numeric_atoms","value":3368,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1085,"base":10}}}}},"used_operators":["DE7zCoGJt9","NTOWxs364D","zashukvMKz","uFcxV4UQCh","k1SHOSEABc","48vC8HMD2b","5twsqlHp2o","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⊺⇮-88964942","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1222","layer":4},{"info":"number node, value=6127","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=6127, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1222","layer":3},{"info":"number node, value=3802","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=3802, right_input=1609, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1222, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1140","layer":4},{"info":"number node, value=3368","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=3368, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2524","layer":3},{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-2524, right_input=-21, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=11120579","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=11120579, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11120566","layer":1},{"info":"compute unary expreesion, input=-11120566, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-88964942","layer":0}],"base":10,"result_base":10,"text":"↞≼((⊺⇮1222⪛⊺⇮6127)⫗⊷⫓(⊺⇮3802⨂≜⊺⇮1609)⩚⊴⇥(⊺⇮1140⊢⊺⇮3368)⫘(⨈⫕⊺⇮1085))=⊺⇮-88964942","reverse_text":"⊺⇮-88964942=↞≼((⊺⇮1222⪛⊺⇮6127)⫗⊷⫓(⊺⇮3802⨂≜⊺⇮1609)⩚⊴⇥(⊺⇮1140⊢⊺⇮3368)⫘(⨈⫕⊺⇮1085))","cot":[{"info":"⊺⇮1222⪛⊺⇮6127=⊺⇮1222","layer":3},{"info":"⊺⇮3802⨂≜⊺⇮1609=NaN","layer":3},{"info":"⊺⇮1222⫗⊷⫓NaN=⊺⇮-134","layer":2},{"info":"⊺⇮1140⊢⊺⇮3368=⊺⇮-2524","layer":3},{"info":"⨈⫕⊺⇮1085=⊺⇮-21","layer":3},{"info":"⊺⇮-2524⫘⊺⇮-21=⊺⇮11120579","layer":2},{"info":"⊺⇮-134⩚⊴⇥⊺⇮11120579=⊺⇮-11120566","layer":1},{"info":"↞≼⊺⇮-11120566=⊺⇮-88964942","layer":0}]}
{"id":235,"expression_no_base_symbol":"($2832$/$2573$⇉⇉)⨼⩣((⪡⇡≛$3189$)⩍⋽⫝̸$3211$⇤$5455$)⫉⨲⊜((⨣⨃⇪$3929$)⊬⨰($3237$⫌⩉⩟$3369$)≥⨤⩑(⨵$1977$)⩣⫁∢($3373$≎⊠⪸$1195$))","expression":"(⊺⇮2832/⊺⇮2573⇉⇉)⨼⩣((⪡⇡≛⊺⇮3189)⩍⋽⫝̸⊺⇮3211⇤⊺⇮5455)⫉⨲⊜((⨣⨃⇪⊺⇮3929)⊬⨰(⊺⇮3237⫌⩉⩟⊺⇮3369)≥⨤⩑(⨵⊺⇮1977)⩣⫁∢(⊺⇮3373≎⊠⪸⊺⇮1195))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18011,"operation_count":14,"complexity_ratio":1286.5,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2832,"base":10},"right_expr":{"type":"numeric_atoms","value":2573,"base":10}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":3189,"base":10}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3211,"base":10},"right_expr":{"type":"numeric_atoms","value":5455,"base":10}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3929,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3237,"base":10},"right_expr":{"type":"numeric_atoms","value":3369,"base":10}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1977,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3373,"base":10},"right_expr":{"type":"numeric_atoms","value":1195,"base":10}}}}},"used_operators":["WhqkvtTD3t","JxwMv5le6e","diKm42VcIt","XhwjNDsVaA","BiWNJpBvwn","qL4PrbW1Dq","YSKBFp38Pu","gJLn6v0xnP","s3Fd5m9Dh2","AcOhelriW5","XIIwhv8d0m","JDUIKTTSIa","Tl3Y52tvF8","bJkvcejdHO"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","rysDP5nf3Z","Ph9nP6C5qx","xUOZtlo3hN","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2832","layer":4},{"info":"number node, value=2573","layer":4},{"info":"compute binary expreesion, left_input=2832, right_input=2573, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=6612","layer":2},{"info":"number node, value=3189","layer":4},{"info":"compute unary expreesion, input=3189, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3189","layer":3},{"info":"number node, value=3211","layer":4},{"info":"number node, value=5455","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=5455, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-40482","layer":3},{"info":"compute binary expreesion, left_input=-3189, right_input=-40482, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=36820","layer":2},{"info":"compute binary expreesion, left_input=6612, right_input=36820, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=3929","layer":4},{"info":"compute unary expreesion, input=3929, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=3237","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=3237, right_input=3369, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=-50, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=149","layer":2},{"info":"number node, value=1977","layer":4},{"info":"compute unary expreesion, input=1977, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-17025","layer":3},{"info":"number node, value=3373","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=3373, right_input=1195, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=873134","layer":3},{"info":"compute binary expreesion, left_input=-17025, right_input=873134, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=68665","layer":2},{"info":"compute binary expreesion, left_input=149, right_input=68665, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2832/⊺⇮2573⇉⇉)⨼⩣((⪡⇡≛⊺⇮3189)⩍⋽⫝̸⊺⇮3211⇤⊺⇮5455)⫉⨲⊜((⨣⨃⇪⊺⇮3929)⊬⨰(⊺⇮3237⫌⩉⩟⊺⇮3369)≥⨤⩑(⨵⊺⇮1977)⩣⫁∢(⊺⇮3373≎⊠⪸⊺⇮1195))=NaN","reverse_text":"NaN=(⊺⇮2832/⊺⇮2573⇉⇉)⨼⩣((⪡⇡≛⊺⇮3189)⩍⋽⫝̸⊺⇮3211⇤⊺⇮5455)⫉⨲⊜((⨣⨃⇪⊺⇮3929)⊬⨰(⊺⇮3237⫌⩉⩟⊺⇮3369)≥⨤⩑(⨵⊺⇮1977)⩣⫁∢(⊺⇮3373≎⊠⪸⊺⇮1195))","cot":[{"info":"⊺⇮2832/⊺⇮2573=⊺⇮1","layer":3},{"info":"⊺⇮1⇉⇉=⊺⇮6612","layer":2},{"info":"⪡⇡≛⊺⇮3189=⊺⇮-3189","layer":3},{"info":"⊺⇮3211⇤⊺⇮5455=⊺⇮-40482","layer":3},{"info":"⊺⇮-3189⩍⋽⫝̸⊺⇮-40482=⊺⇮36820","layer":2},{"info":"⊺⇮6612⨼⩣⊺⇮36820=NaN","layer":1},{"info":"⨣⨃⇪⊺⇮3929=⊺⇮1405","layer":3},{"info":"⊺⇮3237⫌⩉⩟⊺⇮3369=⊺⇮-50","layer":3},{"info":"⊺⇮1405⊬⨰⊺⇮-50=⊺⇮149","layer":2},{"info":"⨵⊺⇮1977=⊺⇮-17025","layer":3},{"info":"⊺⇮3373≎⊠⪸⊺⇮1195=⊺⇮873134","layer":3},{"info":"⊺⇮-17025⩣⫁∢⊺⇮873134=⊺⇮68665","layer":2},{"info":"⊺⇮149≥⨤⩑⊺⇮68665=⊺⇮1234","layer":1},{"info":"NaN⫉⨲⊜⊺⇮1234=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"⫇((⫓⪴$3225$)⪔⊥$3991$≎⪠$4660$)⫞⩸⩒($4962$⪔⊥$2132$∙∹∝($6496$⨑≵⋬$9019$))","expression":"⫇((⫓⪴⊺⇮3225)⪔⊥⊺⇮3991≎⪠⊺⇮4660)⫞⩸⩒(⊺⇮4962⪔⊥⊺⇮2132∙∹∝(⊺⇮6496⨑≵⋬⊺⇮9019))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22410,"operation_count":8,"complexity_ratio":2801.25,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3225,"base":10}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3991,"base":10},"right_expr":{"type":"numeric_atoms","value":4660,"base":10}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4962,"base":10},"right_expr":{"type":"numeric_atoms","value":2132,"base":10}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6496,"base":10},"right_expr":{"type":"numeric_atoms","value":9019,"base":10}}}}},"used_operators":["YjI8oCXuph","XGcMNugi78","HJ9erzHUuu","eLxqMNBOBk","aNhz54LH3e","HmxsFra2vL","XnXgA4xnOs"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9HNa5Wba9A","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⊺⇮-83125156","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3225","layer":4},{"info":"compute unary expreesion, input=3225, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10400625","layer":3},{"info":"number node, value=3991","layer":4},{"info":"number node, value=4660","layer":4},{"info":"compute binary expreesion, left_input=3991, right_input=4660, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=10400625, right_input=19558, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=41563185","layer":2},{"info":"number node, value=4962","layer":4},{"info":"number node, value=2132","layer":4},{"info":"compute binary expreesion, left_input=4962, right_input=2132, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=15385","layer":3},{"info":"number node, value=6496","layer":4},{"info":"number node, value=9019","layer":4},{"info":"compute binary expreesion, left_input=6496, right_input=9019, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-29274","layer":3},{"info":"compute binary expreesion, left_input=15385, right_input=-29274, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=41563185, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=41563185","layer":1},{"info":"compute unary expreesion, input=41563185, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-83125156","layer":0}],"base":10,"result_base":10,"text":"⫇((⫓⪴⊺⇮3225)⪔⊥⊺⇮3991≎⪠⊺⇮4660)⫞⩸⩒(⊺⇮4962⪔⊥⊺⇮2132∙∹∝(⊺⇮6496⨑≵⋬⊺⇮9019))=⊺⇮-83125156","reverse_text":"⊺⇮-83125156=⫇((⫓⪴⊺⇮3225)⪔⊥⊺⇮3991≎⪠⊺⇮4660)⫞⩸⩒(⊺⇮4962⪔⊥⊺⇮2132∙∹∝(⊺⇮6496⨑≵⋬⊺⇮9019))","cot":[{"info":"⫓⪴⊺⇮3225=⊺⇮10400625","layer":3},{"info":"⊺⇮3991≎⪠⊺⇮4660=⊺⇮19558","layer":3},{"info":"⊺⇮10400625⪔⊥⊺⇮19558=⊺⇮41563185","layer":2},{"info":"⊺⇮4962⪔⊥⊺⇮2132=⊺⇮15385","layer":3},{"info":"⊺⇮6496⨑≵⋬⊺⇮9019=⊺⇮-29274","layer":3},{"info":"⊺⇮15385∙∹∝⊺⇮-29274=⊺⇮0","layer":2},{"info":"⊺⇮41563185⫞⩸⩒⊺⇮0=⊺⇮41563185","layer":1},{"info":"⫇⊺⇮41563185=⊺⇮-83125156","layer":0}]}
{"id":237,"expression_no_base_symbol":"($4429$↳≱$1400$≚⊃≕($1741$≓∲$3095$)⋆⋳)⨫⇇↔($7101$⊉↱≁$3550$⇷$2188$⋣⋖$1824$↸(⨙⪌$1320$)↼⊘⨖($2762$≠≀$1729$))","expression":"(⊺⇮4429↳≱⊺⇮1400≚⊃≕(⊺⇮1741≓∲⊺⇮3095)⋆⋳)⨫⇇↔(⊺⇮7101⊉↱≁⊺⇮3550⇷⊺⇮2188⋣⋖⊺⇮1824↸(⨙⪌⊺⇮1320)↼⊘⨖(⊺⇮2762≠≀⊺⇮1729))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":700734,"operation_count":12,"complexity_ratio":58394.5,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4429,"base":10},"right_expr":{"type":"numeric_atoms","value":1400,"base":10}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1741,"base":10},"right_expr":{"type":"numeric_atoms","value":3095,"base":10}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":7101,"base":10},"right_expr":{"type":"numeric_atoms","value":3550,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2188,"base":10},"right_expr":{"type":"numeric_atoms","value":1824,"base":10}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1320,"base":10}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2762,"base":10},"right_expr":{"type":"numeric_atoms","value":1729,"base":10}}}}},"used_operators":["LXhwmt4mBO","6MpZysEj17","Bmrmz2XGnR","JwTKLfZU96","s1XTVnmDOJ","1eCjFl0mb9","mp7IySMOzn","w2P8NbNXyL","J0M6qkBnIM","bPywburJMS","vEGLkm4Z2k","IwW236VD4Y"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⊺⇮-527","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4429","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=4429, right_input=1400, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1741","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=3095, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=18193","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=18193, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-58075","layer":2},{"info":"compute unary expreesion, input=-58075, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=116118","layer":1},{"info":"number node, value=7101","layer":4},{"info":"number node, value=3550","layer":4},{"info":"compute binary expreesion, left_input=7101, right_input=3550, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=49658","layer":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=1824, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2188","layer":3},{"info":"compute binary expreesion, left_input=49658, right_input=2188, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4376","layer":2},{"info":"number node, value=1320","layer":4},{"info":"compute unary expreesion, input=1320, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=2762","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=2762, right_input=1729, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5218","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-5218, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-10658","layer":2},{"info":"compute binary expreesion, left_input=4376, right_input=-10658, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4376","layer":1},{"info":"compute binary expreesion, left_input=116118, right_input=4376, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4429↳≱⊺⇮1400≚⊃≕(⊺⇮1741≓∲⊺⇮3095)⋆⋳)⨫⇇↔(⊺⇮7101⊉↱≁⊺⇮3550⇷⊺⇮2188⋣⋖⊺⇮1824↸(⨙⪌⊺⇮1320)↼⊘⨖(⊺⇮2762≠≀⊺⇮1729))=⊺⇮-527","reverse_text":"⊺⇮-527=(⊺⇮4429↳≱⊺⇮1400≚⊃≕(⊺⇮1741≓∲⊺⇮3095)⋆⋳)⨫⇇↔(⊺⇮7101⊉↱≁⊺⇮3550⇷⊺⇮2188⋣⋖⊺⇮1824↸(⨙⪌⊺⇮1320)↼⊘⨖(⊺⇮2762≠≀⊺⇮1729))","cot":[{"info":"⊺⇮4429↳≱⊺⇮1400=⊺⇮0","layer":3},{"info":"⊺⇮1741≓∲⊺⇮3095=⊺⇮18193","layer":3},{"info":"⊺⇮0≚⊃≕⊺⇮18193=⊺⇮-58075","layer":2},{"info":"⊺⇮-58075⋆⋳=⊺⇮116118","layer":1},{"info":"⊺⇮7101⊉↱≁⊺⇮3550=⊺⇮49658","layer":3},{"info":"⊺⇮2188⋣⋖⊺⇮1824=⊺⇮2188","layer":3},{"info":"⊺⇮49658⇷⊺⇮2188=⊺⇮4376","layer":2},{"info":"⨙⪌⊺⇮1320=⊺⇮868","layer":3},{"info":"⊺⇮2762≠≀⊺⇮1729=⊺⇮-5218","layer":3},{"info":"⊺⇮868↼⊘⨖⊺⇮-5218=⊺⇮-10658","layer":2},{"info":"⊺⇮4376↸⊺⇮-10658=⊺⇮4376","layer":1},{"info":"⊺⇮116118⨫⇇↔⊺⇮4376=⊺⇮-527","layer":0}]}
{"id":238,"expression_no_base_symbol":"($2834$∘$1632$∠↢(⩏⊷≩$1041$))⪚(($1660$↺$1545$)≄⊠($3420$⨵⪆$2691$))⫩⊇","expression":"(⊺⇮2834∘⊺⇮1632∠↢(⩏⊷≩⊺⇮1041))⪚((⊺⇮1660↺⊺⇮1545)≄⊠(⊺⇮3420⨵⪆⊺⇮2691))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":130,"operation_count":8,"complexity_ratio":16.25,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2834,"base":10},"right_expr":{"type":"numeric_atoms","value":1632,"base":10}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1041,"base":10}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1660,"base":10},"right_expr":{"type":"numeric_atoms","value":1545,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3420,"base":10},"right_expr":{"type":"numeric_atoms","value":2691,"base":10}}}}},"used_operators":["BjRHVeLaeN","HrjLwUk87U","KbjG8mgYpV","Z5m6OM72h2","uOZ1tnYMDE","vXNesLlMH1","7j4O788W3g","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-92130","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2834","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=1632, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5668","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1781","layer":3},{"info":"compute binary expreesion, left_input=5668, right_input=1781, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-46524","layer":2},{"info":"number node, value=1660","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=1545, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1545","layer":3},{"info":"number node, value=3420","layer":4},{"info":"number node, value=2691","layer":4},{"info":"compute binary expreesion, left_input=3420, right_input=2691, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1545, right_input=160, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-46524, right_input=1500, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=92172","layer":1},{"info":"compute unary expreesion, input=92172, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-92130","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2834∘⊺⇮1632∠↢(⩏⊷≩⊺⇮1041))⪚((⊺⇮1660↺⊺⇮1545)≄⊠(⊺⇮3420⨵⪆⊺⇮2691))⫩⊇=⊺⇮-92130","reverse_text":"⊺⇮-92130=(⊺⇮2834∘⊺⇮1632∠↢(⩏⊷≩⊺⇮1041))⪚((⊺⇮1660↺⊺⇮1545)≄⊠(⊺⇮3420⨵⪆⊺⇮2691))⫩⊇","cot":[{"info":"⊺⇮2834∘⊺⇮1632=⊺⇮5668","layer":3},{"info":"⩏⊷≩⊺⇮1041=⊺⇮1781","layer":3},{"info":"⊺⇮5668∠↢⊺⇮1781=⊺⇮-46524","layer":2},{"info":"⊺⇮1660↺⊺⇮1545=⊺⇮1545","layer":3},{"info":"⊺⇮3420⨵⪆⊺⇮2691=⊺⇮160","layer":3},{"info":"⊺⇮1545≄⊠⊺⇮160=⊺⇮1500","layer":2},{"info":"⊺⇮-46524⪚⊺⇮1500=⊺⇮92172","layer":1},{"info":"⊺⇮92172⫩⊇=⊺⇮-92130","layer":0}]}
{"id":239,"expression_no_base_symbol":"⇐($2051$⨽$1459$)⫞⩸⩒($1242$⋕⪉⪜$1908$)∺≝⩲($1510$≁$1379$⩚⊴⇥($3128$≚⋢))","expression":"⇐(⊺⇮2051⨽⊺⇮1459)⫞⩸⩒(⊺⇮1242⋕⪉⪜⊺⇮1908)∺≝⩲(⊺⇮1510≁⊺⇮1379⩚⊴⇥(⊺⇮3128≚⋢))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2305,"operation_count":8,"complexity_ratio":288.125,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2051,"base":10},"right_expr":{"type":"numeric_atoms","value":1459,"base":10}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1242,"base":10},"right_expr":{"type":"numeric_atoms","value":1908,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1510,"base":10},"right_expr":{"type":"numeric_atoms","value":1379,"base":10}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":3128,"base":10}}}}},"used_operators":["nmZMaaE0Q9","KPf6cnQVty","XGcMNugi78","8HhzD0ZcuI","z6LnFrNh4i","NTOWxs364D","8N2wDY1A35","MahUMFw56D"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","3ViojmjbAp"],"result":"⊺⇮-762","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2051","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=1459, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12622866","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=1908, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=-12622866, right_input=204, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-12622866","layer":2},{"info":"number node, value=1510","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=1379, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=19895","layer":3},{"info":"number node, value=3128","layer":4},{"info":"compute unary expreesion, input=3128, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=19895, right_input=-89, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-19927","layer":2},{"info":"compute binary expreesion, left_input=-12622866, right_input=-19927, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-762","layer":0}],"base":10,"result_base":10,"text":"⇐(⊺⇮2051⨽⊺⇮1459)⫞⩸⩒(⊺⇮1242⋕⪉⪜⊺⇮1908)∺≝⩲(⊺⇮1510≁⊺⇮1379⩚⊴⇥(⊺⇮3128≚⋢))=⊺⇮-762","reverse_text":"⊺⇮-762=⇐(⊺⇮2051⨽⊺⇮1459)⫞⩸⩒(⊺⇮1242⋕⪉⪜⊺⇮1908)∺≝⩲(⊺⇮1510≁⊺⇮1379⩚⊴⇥(⊺⇮3128≚⋢))","cot":[{"info":"⊺⇮2051⨽⊺⇮1459=⊺⇮-12622866","layer":3},{"info":"⊺⇮1242⋕⪉⪜⊺⇮1908=⊺⇮204","layer":3},{"info":"⊺⇮-12622866⫞⩸⩒⊺⇮204=⊺⇮-12622866","layer":2},{"info":"⊺⇮1510≁⊺⇮1379=⊺⇮19895","layer":3},{"info":"⊺⇮3128≚⋢=⊺⇮-89","layer":3},{"info":"⊺⇮19895⩚⊴⇥⊺⇮-89=⊺⇮-19927","layer":2},{"info":"⊺⇮-12622866∺≝⩲⊺⇮-19927=⊺⇮160","layer":1},{"info":"⇐⊺⇮160=⊺⇮-762","layer":0}]}
{"id":240,"expression_no_base_symbol":"($3368$⨔⇊$8004$⩹($1338$⩠))∠↢($1528$⋅⇍$2924$⨸⪁$6338$∺≝⩲$7744$)⋻⩜⩜(⇵⪽($3571$⪪$2006$⊭↱$3895$⋣⋖$3431$))","expression":"(⊺⇮3368⨔⇊⊺⇮8004⩹(⊺⇮1338⩠))∠↢(⊺⇮1528⋅⇍⊺⇮2924⨸⪁⊺⇮6338∺≝⩲⊺⇮7744)⋻⩜⩜(⇵⪽(⊺⇮3571⪪⊺⇮2006⊭↱⊺⇮3895⋣⋖⊺⇮3431))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10926,"operation_count":12,"complexity_ratio":910.5,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3368,"base":10},"right_expr":{"type":"numeric_atoms","value":8004,"base":10}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1338,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1528,"base":10},"right_expr":{"type":"numeric_atoms","value":2924,"base":10}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6338,"base":10},"right_expr":{"type":"numeric_atoms","value":7744,"base":10}}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3571,"base":10},"right_expr":{"type":"numeric_atoms","value":2006,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3895,"base":10},"right_expr":{"type":"numeric_atoms","value":3431,"base":10}}}}},"used_operators":["oDCm7WA9JY","KbjG8mgYpV","2Wsdkap16l","JclMnS0uGI","sJAwomhLZr","g55IO6H4Gj","AdZkA7nFnk","KPf6cnQVty","ZGCBLdVRRX","COABgblf1C","xD69zh8xqp","J0M6qkBnIM"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3368","layer":4},{"info":"number node, value=8004","layer":4},{"info":"compute binary expreesion, left_input=3368, right_input=8004, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=8004","layer":3},{"info":"number node, value=1338","layer":4},{"info":"compute unary expreesion, input=1338, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8004, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":2},{"info":"number node, value=1528","layer":4},{"info":"number node, value=2924","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=2924, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=6338","layer":4},{"info":"number node, value=7744","layer":4},{"info":"compute binary expreesion, left_input=6338, right_input=7744, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=276","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=276, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-2774","layer":1},{"info":"number node, value=3571","layer":4},{"info":"number node, value=2006","layer":4},{"info":"compute binary expreesion, left_input=3571, right_input=2006, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-535310","layer":3},{"info":"number node, value=3895","layer":4},{"info":"number node, value=3431","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=3431, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3895","layer":3},{"info":"compute binary expreesion, left_input=-535310, right_input=3895, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1078415","layer":2},{"info":"compute unary expreesion, input=1078415, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2774, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3368⨔⇊⊺⇮8004⩹(⊺⇮1338⩠))∠↢(⊺⇮1528⋅⇍⊺⇮2924⨸⪁⊺⇮6338∺≝⩲⊺⇮7744)⋻⩜⩜(⇵⪽(⊺⇮3571⪪⊺⇮2006⊭↱⊺⇮3895⋣⋖⊺⇮3431))=NaN","reverse_text":"NaN=(⊺⇮3368⨔⇊⊺⇮8004⩹(⊺⇮1338⩠))∠↢(⊺⇮1528⋅⇍⊺⇮2924⨸⪁⊺⇮6338∺≝⩲⊺⇮7744)⋻⩜⩜(⇵⪽(⊺⇮3571⪪⊺⇮2006⊭↱⊺⇮3895⋣⋖⊺⇮3431))","cot":[{"info":"⊺⇮3368⨔⇊⊺⇮8004=⊺⇮8004","layer":3},{"info":"⊺⇮1338⩠=⊺⇮0","layer":3},{"info":"⊺⇮8004⩹⊺⇮0=⊺⇮-2","layer":2},{"info":"⊺⇮1528⋅⇍⊺⇮2924=⊺⇮-22","layer":3},{"info":"⊺⇮6338∺≝⩲⊺⇮7744=⊺⇮160","layer":3},{"info":"⊺⇮-22⨸⪁⊺⇮160=⊺⇮276","layer":2},{"info":"⊺⇮-2∠↢⊺⇮276=⊺⇮-2774","layer":1},{"info":"⊺⇮3571⪪⊺⇮2006=⊺⇮-535310","layer":3},{"info":"⊺⇮3895⋣⋖⊺⇮3431=⊺⇮3895","layer":3},{"info":"⊺⇮-535310⊭↱⊺⇮3895=⊺⇮1078415","layer":2},{"info":"⇵⪽⊺⇮1078415=NaN","layer":1},{"info":"⊺⇮-2774⋻⩜⩜NaN=NaN","layer":0}]}
{"id":241,"expression_no_base_symbol":"≔($1290$≠≀$2051$⩒⫫($1296$≬⋮$1079$))∳⫺($1925$⨑⩅≇$1328$↑)","expression":"≔(⊺⇮1290≠≀⊺⇮2051⩒⫫(⊺⇮1296≬⋮⊺⇮1079))∳⫺(⊺⇮1925⨑⩅≇⊺⇮1328↑)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1535,"operation_count":7,"complexity_ratio":219.28571428571428,"tree":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1290,"base":10},"right_expr":{"type":"numeric_atoms","value":2051,"base":10}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1296,"base":10},"right_expr":{"type":"numeric_atoms","value":1079,"base":10}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1925,"base":10},"right_expr":{"type":"numeric_atoms","value":1328,"base":10}}}}},"used_operators":["8FLs4eVsLt","AzXXKTstlj","KFSx94NKJn","IwW236VD4Y","kbkesczE7y","BThhyOhh10","h92wMvzauj"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⊺⇮8574","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1290","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=2051, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2274","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1079, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-2274, right_input=868, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=1925","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1328, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5775","layer":3},{"info":"compute unary expreesion, input=-5775, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=222, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=8574","layer":0}],"base":10,"result_base":10,"text":"≔(⊺⇮1290≠≀⊺⇮2051⩒⫫(⊺⇮1296≬⋮⊺⇮1079))∳⫺(⊺⇮1925⨑⩅≇⊺⇮1328↑)=⊺⇮8574","reverse_text":"⊺⇮8574=≔(⊺⇮1290≠≀⊺⇮2051⩒⫫(⊺⇮1296≬⋮⊺⇮1079))∳⫺(⊺⇮1925⨑⩅≇⊺⇮1328↑)","cot":[{"info":"⊺⇮1290≠≀⊺⇮2051=⊺⇮-2274","layer":3},{"info":"⊺⇮1296≬⋮⊺⇮1079=⊺⇮868","layer":3},{"info":"⊺⇮-2274⩒⫫⊺⇮868=⊺⇮160","layer":2},{"info":"⊺⇮1925⨑⩅≇⊺⇮1328=⊺⇮-5775","layer":3},{"info":"⊺⇮-5775↑=⊺⇮222","layer":2},{"info":"⊺⇮160∳⫺⊺⇮222=⊺⇮-260","layer":1},{"info":"≔⊺⇮-260=⊺⇮8574","layer":0}]}
{"id":242,"expression_no_base_symbol":"(($9268$⋓$4116$)∑⇟⊟($2557$⨔≚≋$3582$)≬⋮$1087$⪒⊣⊆$4174$⪛$3903$⨔⇊$1046$)⩖⊿(($7847$∑⇟⊟$2653$)⪃⊛⇣($4250$⫰⋱$1519$)⨵⪆($1187$⨚$3228$⋫))","expression":"((⊺⇮9268⋓⊺⇮4116)∑⇟⊟(⊺⇮2557⨔≚≋⊺⇮3582)≬⋮⊺⇮1087⪒⊣⊆⊺⇮4174⪛⊺⇮3903⨔⇊⊺⇮1046)⩖⊿((⊺⇮7847∑⇟⊟⊺⇮2653)⪃⊛⇣(⊺⇮4250⫰⋱⊺⇮1519)⨵⪆(⊺⇮1187⨚⊺⇮3228⋫))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10314,"operation_count":14,"complexity_ratio":736.7142857142857,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":9268,"base":10},"right_expr":{"type":"numeric_atoms","value":4116,"base":10}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2557,"base":10},"right_expr":{"type":"numeric_atoms","value":3582,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1087,"base":10},"right_expr":{"type":"numeric_atoms","value":4174,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3903,"base":10},"right_expr":{"type":"numeric_atoms","value":1046,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7847,"base":10},"right_expr":{"type":"numeric_atoms","value":2653,"base":10}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4250,"base":10},"right_expr":{"type":"numeric_atoms","value":1519,"base":10}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1187,"base":10},"right_expr":{"type":"numeric_atoms","value":3228,"base":10}}}}},"used_operators":["RZ5CV9rWsJ","kbkesczE7y","U7g4x0WXJJ","T2fj7uvVaJ","Z57zeUYC9z","uFcxV4UQCh","eRqsBgTDFp","JclMnS0uGI","2DQ55sFlQl","rrgAzCduG9","6o9Blt3TJ6","JL8yIekQnl","nREPSIbpBE"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","tmPS8pqC7x","BjRHVeLaeN","12rbrZMWeM"],"result":"⊺⇮-2274","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9268","layer":4},{"info":"number node, value=4116","layer":4},{"info":"compute binary expreesion, left_input=9268, right_input=4116, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2557","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=3582, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9872, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1087","layer":4},{"info":"number node, value=4174","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=4174, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2174","layer":3},{"info":"number node, value=3903","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=1046, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1046","layer":3},{"info":"compute binary expreesion, left_input=2174, right_input=1046, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=82","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=82, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=7847","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=7847, right_input=2653, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4250","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=4250, right_input=1519, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4217","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4217, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=1187","layer":4},{"info":"number node, value=3228","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=3228, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-9604","layer":3},{"info":"compute unary expreesion, input=-9604, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-9604","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-9604, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=160, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-2274","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮9268⋓⊺⇮4116)∑⇟⊟(⊺⇮2557⨔≚≋⊺⇮3582)≬⋮⊺⇮1087⪒⊣⊆⊺⇮4174⪛⊺⇮3903⨔⇊⊺⇮1046)⩖⊿((⊺⇮7847∑⇟⊟⊺⇮2653)⪃⊛⇣(⊺⇮4250⫰⋱⊺⇮1519)⨵⪆(⊺⇮1187⨚⊺⇮3228⋫))=⊺⇮-2274","reverse_text":"⊺⇮-2274=((⊺⇮9268⋓⊺⇮4116)∑⇟⊟(⊺⇮2557⨔≚≋⊺⇮3582)≬⋮⊺⇮1087⪒⊣⊆⊺⇮4174⪛⊺⇮3903⨔⇊⊺⇮1046)⩖⊿((⊺⇮7847∑⇟⊟⊺⇮2653)⪃⊛⇣(⊺⇮4250⫰⋱⊺⇮1519)⨵⪆(⊺⇮1187⨚⊺⇮3228⋫))","cot":[{"info":"⊺⇮9268⋓⊺⇮4116=⊺⇮0","layer":3},{"info":"⊺⇮2557⨔≚≋⊺⇮3582=⊺⇮9872","layer":3},{"info":"⊺⇮0∑⇟⊟⊺⇮9872=NaN","layer":2},{"info":"⊺⇮1087⪒⊣⊆⊺⇮4174=⊺⇮2174","layer":3},{"info":"⊺⇮3903⨔⇊⊺⇮1046=⊺⇮1046","layer":3},{"info":"⊺⇮2174⪛⊺⇮1046=⊺⇮82","layer":2},{"info":"NaN≬⋮⊺⇮82=⊺⇮868","layer":1},{"info":"⊺⇮7847∑⇟⊟⊺⇮2653=NaN","layer":3},{"info":"⊺⇮4250⫰⋱⊺⇮1519=⊺⇮-4217","layer":3},{"info":"NaN⪃⊛⇣⊺⇮-4217=⊺⇮1234","layer":2},{"info":"⊺⇮1187⨚⊺⇮3228=⊺⇮-9604","layer":3},{"info":"⊺⇮-9604⋫=⊺⇮-9604","layer":2},{"info":"⊺⇮1234⨵⪆⊺⇮-9604=⊺⇮160","layer":1},{"info":"⊺⇮868⩖⊿⊺⇮160=⊺⇮-2274","layer":0}]}
{"id":243,"expression_no_base_symbol":"⩰((⫟$2244$⪝$1035$)⩨(⊖∈$3987$⨳⩥⨓$1156$))","expression":"⩰((⫟⊺⇮2244⪝⊺⇮1035)⩨(⊖∈⊺⇮3987⨳⩥⨓⊺⇮1156))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":41179,"operation_count":6,"complexity_ratio":6863.166666666667,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2244,"base":10},"right_expr":{"type":"numeric_atoms","value":1035,"base":10}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3987,"base":10},"right_expr":{"type":"numeric_atoms","value":1156,"base":10}}}}},"used_operators":["WkeUrDK8WX","2DlMacCsIx","z4E1FaHLuy","wicAB68Tmb","YFxL8Sc2Zy","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z"],"result":"⊺⇮192176","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2244","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=1035, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5235","layer":3},{"info":"compute unary expreesion, input=-5235, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=4997","layer":2},{"info":"number node, value=3987","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=3987, right_input=1156, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2831","layer":3},{"info":"compute unary expreesion, input=-2831, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=160886642","layer":2},{"info":"compute binary expreesion, left_input=4997, right_input=160886642, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-96588","layer":1},{"info":"compute unary expreesion, input=-96588, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=192176","layer":0}],"base":10,"result_base":10,"text":"⩰((⫟⊺⇮2244⪝⊺⇮1035)⩨(⊖∈⊺⇮3987⨳⩥⨓⊺⇮1156))=⊺⇮192176","reverse_text":"⊺⇮192176=⩰((⫟⊺⇮2244⪝⊺⇮1035)⩨(⊖∈⊺⇮3987⨳⩥⨓⊺⇮1156))","cot":[{"info":"⊺⇮2244⪝⊺⇮1035=⊺⇮-5235","layer":3},{"info":"⫟⊺⇮-5235=⊺⇮4997","layer":2},{"info":"⊺⇮3987⨳⩥⨓⊺⇮1156=⊺⇮-2831","layer":3},{"info":"⊖∈⊺⇮-2831=⊺⇮160886642","layer":2},{"info":"⊺⇮4997⩨⊺⇮160886642=⊺⇮-96588","layer":1},{"info":"⩰⊺⇮-96588=⊺⇮192176","layer":0}]}
{"id":244,"expression_no_base_symbol":"((⩦⊞($1383$⫡⨏$5375$))⇉⇉)⊉≛↸(⫵↿($1031$↡⊰⫅$2441$))⊕∕($2898$⋥⋵⩄$3006$⇴($1018$↸$1808$))","expression":"((⩦⊞(⊺⇮1383⫡⨏⊺⇮5375))⇉⇉)⊉≛↸(⫵↿(⊺⇮1031↡⊰⫅⊺⇮2441))⊕∕(⊺⇮2898⋥⋵⩄⊺⇮3006⇴(⊺⇮1018↸⊺⇮1808))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35346,"operation_count":10,"complexity_ratio":3534.6,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1383,"base":10},"right_expr":{"type":"numeric_atoms","value":5375,"base":10}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1031,"base":10},"right_expr":{"type":"numeric_atoms","value":2441,"base":10}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2898,"base":10},"right_expr":{"type":"numeric_atoms","value":3006,"base":10}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1018,"base":10},"right_expr":{"type":"numeric_atoms","value":1808,"base":10}}}}},"used_operators":["DZ8iAZOCBD","diKm42VcIt","u7fv1HBiaC","QMFrweE19q","9cloC0Ngie","ivGwdmUAux","VCtxkLNOzz","4JB6nKBMSY","7t3wd0Fuz7","1eCjFl0mb9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","sdazOOVcIp","NTOWxs364D","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⊺⇮376804","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1383","layer":4},{"info":"number node, value=5375","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=5375, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18448","layer":3},{"info":"compute unary expreesion, input=18448, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-18175","layer":2},{"info":"compute unary expreesion, input=-18175, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=188402","layer":1},{"info":"number node, value=1031","layer":4},{"info":"number node, value=2441","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2441, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4882","layer":3},{"info":"compute unary expreesion, input=4882, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=2898","layer":4},{"info":"number node, value=3006","layer":4},{"info":"compute binary expreesion, left_input=2898, right_input=3006, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1808, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1018","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1018, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=2328","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=2328, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=137","layer":1},{"info":"compute binary expreesion, left_input=188402, right_input=137, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=376804","layer":0}],"base":10,"result_base":10,"text":"((⩦⊞(⊺⇮1383⫡⨏⊺⇮5375))⇉⇉)⊉≛↸(⫵↿(⊺⇮1031↡⊰⫅⊺⇮2441))⊕∕(⊺⇮2898⋥⋵⩄⊺⇮3006⇴(⊺⇮1018↸⊺⇮1808))=⊺⇮376804","reverse_text":"⊺⇮376804=((⩦⊞(⊺⇮1383⫡⨏⊺⇮5375))⇉⇉)⊉≛↸(⫵↿(⊺⇮1031↡⊰⫅⊺⇮2441))⊕∕(⊺⇮2898⋥⋵⩄⊺⇮3006⇴(⊺⇮1018↸⊺⇮1808))","cot":[{"info":"⊺⇮1383⫡⨏⊺⇮5375=⊺⇮18448","layer":3},{"info":"⩦⊞⊺⇮18448=⊺⇮-18175","layer":2},{"info":"⊺⇮-18175⇉⇉=⊺⇮188402","layer":1},{"info":"⊺⇮1031↡⊰⫅⊺⇮2441=⊺⇮4882","layer":3},{"info":"⫵↿⊺⇮4882=⊺⇮137","layer":2},{"info":"⊺⇮2898⋥⋵⩄⊺⇮3006=⊺⇮113","layer":3},{"info":"⊺⇮1018↸⊺⇮1808=⊺⇮1018","layer":3},{"info":"⊺⇮113⇴⊺⇮1018=⊺⇮2328","layer":2},{"info":"⊺⇮137⊕∕⊺⇮2328=⊺⇮137","layer":1},{"info":"⊺⇮188402⊉≛↸⊺⇮137=⊺⇮376804","layer":0}]}
{"id":245,"expression_no_base_symbol":"$1418$⋾⨃∁$1236$⪶≀⋏($5543$≬⇓$2308$)∠⫱($1104$⨎⋸⪻)⫗⊷⫓($1307$∠↢$2049$)⨑≵⋬(⨦⪝($7015$⇄$1428$))≄⊠(⩦⩻⨪$1383$⋥≓≎$2111$)","expression":"⊺⇮1418⋾⨃∁⊺⇮1236⪶≀⋏(⊺⇮5543≬⇓⊺⇮2308)∠⫱(⊺⇮1104⨎⋸⪻)⫗⊷⫓(⊺⇮1307∠↢⊺⇮2049)⨑≵⋬(⨦⪝(⊺⇮7015⇄⊺⇮1428))≄⊠(⩦⩻⨪⊺⇮1383⋥≓≎⊺⇮2111)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2086,"operation_count":13,"complexity_ratio":160.46153846153845,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1418,"base":10},"right_expr":{"type":"numeric_atoms","value":1236,"base":10}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5543,"base":10},"right_expr":{"type":"numeric_atoms","value":2308,"base":10}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1104,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1307,"base":10},"right_expr":{"type":"numeric_atoms","value":2049,"base":10}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":7015,"base":10},"right_expr":{"type":"numeric_atoms","value":1428,"base":10}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1383,"base":10},"right_expr":{"type":"numeric_atoms","value":2111,"base":10}}}}},"used_operators":["XnXgA4xnOs","QvoQhV0rrE","zR4jO40bMj","212REbPD9h","jWTQ2TZYIH","zashukvMKz","Dk5vyLCiGd","KbjG8mgYpV","vXNesLlMH1","SUjycxNXIR","3EYGwJThht","2td37pGCOC","Qy55tPpLXF"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","IWmyXbctLI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-229283741","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1418","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=1236, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=15262034","layer":3},{"info":"number node, value=5543","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=5543, right_input=2308, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=15262034, right_input=-22, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-45786290","layer":2},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2524","layer":3},{"info":"number node, value=1307","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=2049, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-32832","layer":3},{"info":"compute binary expreesion, left_input=2524, right_input=-32832, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-45786290, right_input=-134, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-45786156","layer":1},{"info":"number node, value=7015","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=7015, right_input=1428, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=1383","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=2111, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2872","layer":3},{"info":"compute unary expreesion, input=2872, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2872","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=2872, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=50620","layer":1},{"info":"compute binary expreesion, left_input=-45786156, right_input=50620, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-229283741","layer":0}],"base":10,"result_base":10,"text":"⊺⇮1418⋾⨃∁⊺⇮1236⪶≀⋏(⊺⇮5543≬⇓⊺⇮2308)∠⫱(⊺⇮1104⨎⋸⪻)⫗⊷⫓(⊺⇮1307∠↢⊺⇮2049)⨑≵⋬(⨦⪝(⊺⇮7015⇄⊺⇮1428))≄⊠(⩦⩻⨪⊺⇮1383⋥≓≎⊺⇮2111)=⊺⇮-229283741","reverse_text":"⊺⇮-229283741=⊺⇮1418⋾⨃∁⊺⇮1236⪶≀⋏(⊺⇮5543≬⇓⊺⇮2308)∠⫱(⊺⇮1104⨎⋸⪻)⫗⊷⫓(⊺⇮1307∠↢⊺⇮2049)⨑≵⋬(⨦⪝(⊺⇮7015⇄⊺⇮1428))≄⊠(⩦⩻⨪⊺⇮1383⋥≓≎⊺⇮2111)","cot":[{"info":"⊺⇮1418⋾⨃∁⊺⇮1236=⊺⇮15262034","layer":3},{"info":"⊺⇮5543≬⇓⊺⇮2308=⊺⇮-22","layer":3},{"info":"⊺⇮15262034⪶≀⋏⊺⇮-22=⊺⇮-45786290","layer":2},{"info":"⊺⇮1104⨎⋸⪻=⊺⇮2524","layer":3},{"info":"⊺⇮1307∠↢⊺⇮2049=⊺⇮-32832","layer":3},{"info":"⊺⇮2524⫗⊷⫓⊺⇮-32832=⊺⇮-134","layer":2},{"info":"⊺⇮-45786290∠⫱⊺⇮-134=⊺⇮-45786156","layer":1},{"info":"⊺⇮7015⇄⊺⇮1428=⊺⇮0","layer":3},{"info":"⨦⪝⊺⇮0=⊺⇮-1884","layer":2},{"info":"⊺⇮1383⋥≓≎⊺⇮2111=⊺⇮2872","layer":3},{"info":"⩦⩻⨪⊺⇮2872=⊺⇮2872","layer":2},{"info":"⊺⇮-1884≄⊠⊺⇮2872=⊺⇮50620","layer":1},{"info":"⊺⇮-45786156⨑≵⋬⊺⇮50620=⊺⇮-229283741","layer":0}]}
{"id":246,"expression_no_base_symbol":"((↘$1271$)⫸⇳$1139$↳≱$1952$)⪭((∓$7896$)⩒⫫($7657$⪔$3252$))⊋≦⊧(($1946$⨻⩈⩔$2526$)⨥⫆($4425$⪔⊥$1885$))⋕⪉⪜(($1871$⩺⋐⫨)⩧⪆($2799$⊹∫⫚$1526$))","expression":"((↘⊺⇮1271)⫸⇳⊺⇮1139↳≱⊺⇮1952)⪭((∓⊺⇮7896)⩒⫫(⊺⇮7657⪔⊺⇮3252))⊋≦⊧((⊺⇮1946⨻⩈⩔⊺⇮2526)⨥⫆(⊺⇮4425⪔⊥⊺⇮1885))⋕⪉⪜((⊺⇮1871⩺⋐⫨)⩧⪆(⊺⇮2799⊹∫⫚⊺⇮1526))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4278,"operation_count":15,"complexity_ratio":285.2,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1271,"base":10}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1139,"base":10},"right_expr":{"type":"numeric_atoms","value":1952,"base":10}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":7896,"base":10}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":7657,"base":10},"right_expr":{"type":"numeric_atoms","value":3252,"base":10}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1946,"base":10},"right_expr":{"type":"numeric_atoms","value":2526,"base":10}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4425,"base":10},"right_expr":{"type":"numeric_atoms","value":1885,"base":10}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":1871,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2799,"base":10},"right_expr":{"type":"numeric_atoms","value":1526,"base":10}}}}},"used_operators":["oRDoc9rAEX","j9kHMeSvPp","gx7XJ7hdpj","LdNpr8hQHL","JwTKLfZU96","KFSx94NKJn","OwUj7dcsQK","GjBEYRfMaF","z6LnFrNh4i","yXekIHxTD4","nEsXyWgiOK","HJ9erzHUuu","Ikt5ks8PT7","yS9ePUuUdn","uWAJUKEvyW"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","COABgblf1C","xUOZtlo3hN","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","uFcxV4UQCh","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eewbuw0ToL","t8gj7n24qd","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⊺⇮192","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1271","layer":4},{"info":"compute unary expreesion, input=1271, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=95","layer":3},{"info":"number node, value=1139","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=1952, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=95, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"number node, value=7896","layer":4},{"info":"compute unary expreesion, input=7896, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-123312","layer":3},{"info":"number node, value=7657","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=7657, right_input=3252, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-123312, right_input=450, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":1},{"info":"number node, value=1946","layer":4},{"info":"number node, value=2526","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=2526, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=7167","layer":3},{"info":"number node, value=4425","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=4425, right_input=1885, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=13731","layer":3},{"info":"compute binary expreesion, left_input=7167, right_input=13731, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=27338","layer":2},{"info":"number node, value=1871","layer":4},{"info":"compute unary expreesion, input=1871, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=2799","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=2799, right_input=1526, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-232","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-232, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=232","layer":2},{"info":"compute binary expreesion, left_input=27338, right_input=232, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=2802, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":0}],"base":10,"result_base":10,"text":"((↘⊺⇮1271)⫸⇳⊺⇮1139↳≱⊺⇮1952)⪭((∓⊺⇮7896)⩒⫫(⊺⇮7657⪔⊺⇮3252))⊋≦⊧((⊺⇮1946⨻⩈⩔⊺⇮2526)⨥⫆(⊺⇮4425⪔⊥⊺⇮1885))⋕⪉⪜((⊺⇮1871⩺⋐⫨)⩧⪆(⊺⇮2799⊹∫⫚⊺⇮1526))=⊺⇮192","reverse_text":"⊺⇮192=((↘⊺⇮1271)⫸⇳⊺⇮1139↳≱⊺⇮1952)⪭((∓⊺⇮7896)⩒⫫(⊺⇮7657⪔⊺⇮3252))⊋≦⊧((⊺⇮1946⨻⩈⩔⊺⇮2526)⨥⫆(⊺⇮4425⪔⊥⊺⇮1885))⋕⪉⪜((⊺⇮1871⩺⋐⫨)⩧⪆(⊺⇮2799⊹∫⫚⊺⇮1526))","cot":[{"info":"↘⊺⇮1271=⊺⇮95","layer":3},{"info":"⊺⇮1139↳≱⊺⇮1952=⊺⇮0","layer":3},{"info":"⊺⇮95⫸⇳⊺⇮0=⊺⇮0","layer":2},{"info":"∓⊺⇮7896=⊺⇮-123312","layer":3},{"info":"⊺⇮7657⪔⊺⇮3252=⊺⇮450","layer":3},{"info":"⊺⇮-123312⩒⫫⊺⇮450=⊺⇮160","layer":2},{"info":"⊺⇮0⪭⊺⇮160=⊺⇮-174","layer":1},{"info":"⊺⇮1946⨻⩈⩔⊺⇮2526=⊺⇮7167","layer":3},{"info":"⊺⇮4425⪔⊥⊺⇮1885=⊺⇮13731","layer":3},{"info":"⊺⇮7167⨥⫆⊺⇮13731=⊺⇮27338","layer":2},{"info":"⊺⇮1871⩺⋐⫨=⊺⇮0","layer":3},{"info":"⊺⇮2799⊹∫⫚⊺⇮1526=⊺⇮-232","layer":3},{"info":"⊺⇮0⩧⪆⊺⇮-232=⊺⇮232","layer":2},{"info":"⊺⇮27338⋕⪉⪜⊺⇮232=⊺⇮2802","layer":1},{"info":"⊺⇮-174⊋≦⊧⊺⇮2802=⊺⇮192","layer":0}]}
{"id":247,"expression_no_base_symbol":"($2405$⩘$2752$≭($2825$⪄$1006$))≄⊠(⩷⨜⫀($1319$⩇∃⫛$4111$))⇉⇉","expression":"(⊺⇮2405⩘⊺⇮2752≭(⊺⇮2825⪄⊺⇮1006))≄⊠(⩷⨜⫀(⊺⇮1319⩇∃⫛⊺⇮4111))⇉⇉","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":349,"operation_count":7,"complexity_ratio":49.857142857142854,"tree":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2405,"base":10},"right_expr":{"type":"numeric_atoms","value":2752,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2825,"base":10},"right_expr":{"type":"numeric_atoms","value":1006,"base":10}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1319,"base":10},"right_expr":{"type":"numeric_atoms","value":4111,"base":10}}}}},"used_operators":["diKm42VcIt","vXNesLlMH1","rxpJgHHUmx","cHh1gJQ2o6","SUmda5xLS4","CDi0ktkjQ4","1aApVXNlOP"],"dependent_operators":["RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","AHs5Up7iyr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","ruOEQAzv1W","nhYeJWJD5X","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⊺⇮-87256","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2405","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=2752, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2825","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=2825, right_input=1006, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-418213","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-418213, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1319","layer":4},{"info":"number node, value=4111","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=4111, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=3265","layer":3},{"info":"compute unary expreesion, input=3265, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-2992","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2992, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute unary expreesion, input=1500, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-87256","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2405⩘⊺⇮2752≭(⊺⇮2825⪄⊺⇮1006))≄⊠(⩷⨜⫀(⊺⇮1319⩇∃⫛⊺⇮4111))⇉⇉=⊺⇮-87256","reverse_text":"⊺⇮-87256=(⊺⇮2405⩘⊺⇮2752≭(⊺⇮2825⪄⊺⇮1006))≄⊠(⩷⨜⫀(⊺⇮1319⩇∃⫛⊺⇮4111))⇉⇉","cot":[{"info":"⊺⇮2405⩘⊺⇮2752=⊺⇮160","layer":3},{"info":"⊺⇮2825⪄⊺⇮1006=⊺⇮-418213","layer":3},{"info":"⊺⇮160≭⊺⇮-418213=NaN","layer":2},{"info":"⊺⇮1319⩇∃⫛⊺⇮4111=⊺⇮3265","layer":3},{"info":"⩷⨜⫀⊺⇮3265=⊺⇮-2992","layer":2},{"info":"NaN≄⊠⊺⇮-2992=⊺⇮1500","layer":1},{"info":"⊺⇮1500⇉⇉=⊺⇮-87256","layer":0}]}
{"id":248,"expression_no_base_symbol":"($1381$⊔$1873$)∘($3046$⇼⇔∾$1101$)≄⊠(⇋↷$1507$)⋕⪉⪜$7472$⪝$3921$⊋≦⊧($6889$∠⫱$3461$⊭↱$2911$⨐$2032$)⋣⋖(⇁⨣⪵$3313$≒∊$3422$)","expression":"(⊺⇮1381⊔⊺⇮1873)∘(⊺⇮3046⇼⇔∾⊺⇮1101)≄⊠(⇋↷⊺⇮1507)⋕⪉⪜⊺⇮7472⪝⊺⇮3921⊋≦⊧(⊺⇮6889∠⫱⊺⇮3461⊭↱⊺⇮2911⨐⊺⇮2032)⋣⋖(⇁⨣⪵⊺⇮3313≒∊⊺⇮3422)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":584,"operation_count":14,"complexity_ratio":41.714285714285715,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1381,"base":10},"right_expr":{"type":"numeric_atoms","value":1873,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3046,"base":10},"right_expr":{"type":"numeric_atoms","value":1101,"base":10}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1507,"base":10}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":7472,"base":10},"right_expr":{"type":"numeric_atoms","value":3921,"base":10}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6889,"base":10},"right_expr":{"type":"numeric_atoms","value":3461,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2911,"base":10},"right_expr":{"type":"numeric_atoms","value":2032,"base":10}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3313,"base":10},"right_expr":{"type":"numeric_atoms","value":3422,"base":10}}}}},"used_operators":["oRDoc9rAEX","vXNesLlMH1","Z5m6OM72h2","E4l6HwMY31","tifHPKVTfV","z6LnFrNh4i","SWo3A1KBJH","wicAB68Tmb","J0M6qkBnIM","COABgblf1C","QvoQhV0rrE","Noe24qw2ks","inkyxCbjAn","5KTvxBwnZo"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⊺⇮28454","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1381","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=1873, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9727","layer":3},{"info":"number node, value=3046","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=3046, right_input=1101, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1945","layer":3},{"info":"compute binary expreesion, left_input=9727, right_input=-1945, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-9347","layer":2},{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12056","layer":3},{"info":"number node, value=7472","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=7472, right_input=3921, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-14603","layer":3},{"info":"compute binary expreesion, left_input=12056, right_input=-14603, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=-9347, right_input=2802, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=49500","layer":1},{"info":"number node, value=6889","layer":4},{"info":"number node, value=3461","layer":4},{"info":"compute binary expreesion, left_input=6889, right_input=3461, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=2911","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=2032, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5822","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-5822, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-14107","layer":2},{"info":"number node, value=3313","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=3313, right_input=3422, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2829","layer":3},{"info":"compute unary expreesion, input=-2829, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14107, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-14107","layer":1},{"info":"compute binary expreesion, left_input=49500, right_input=-14107, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=28454","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1381⊔⊺⇮1873)∘(⊺⇮3046⇼⇔∾⊺⇮1101)≄⊠(⇋↷⊺⇮1507)⋕⪉⪜⊺⇮7472⪝⊺⇮3921⊋≦⊧(⊺⇮6889∠⫱⊺⇮3461⊭↱⊺⇮2911⨐⊺⇮2032)⋣⋖(⇁⨣⪵⊺⇮3313≒∊⊺⇮3422)=⊺⇮28454","reverse_text":"⊺⇮28454=(⊺⇮1381⊔⊺⇮1873)∘(⊺⇮3046⇼⇔∾⊺⇮1101)≄⊠(⇋↷⊺⇮1507)⋕⪉⪜⊺⇮7472⪝⊺⇮3921⊋≦⊧(⊺⇮6889∠⫱⊺⇮3461⊭↱⊺⇮2911⨐⊺⇮2032)⋣⋖(⇁⨣⪵⊺⇮3313≒∊⊺⇮3422)","cot":[{"info":"⊺⇮1381⊔⊺⇮1873=⊺⇮9727","layer":3},{"info":"⊺⇮3046⇼⇔∾⊺⇮1101=⊺⇮-1945","layer":3},{"info":"⊺⇮9727∘⊺⇮-1945=⊺⇮-9347","layer":2},{"info":"⇋↷⊺⇮1507=⊺⇮12056","layer":3},{"info":"⊺⇮7472⪝⊺⇮3921=⊺⇮-14603","layer":3},{"info":"⊺⇮12056⋕⪉⪜⊺⇮-14603=⊺⇮2802","layer":2},{"info":"⊺⇮-9347≄⊠⊺⇮2802=⊺⇮49500","layer":1},{"info":"⊺⇮6889∠⫱⊺⇮3461=⊺⇮1234","layer":3},{"info":"⊺⇮2911⨐⊺⇮2032=⊺⇮-5822","layer":3},{"info":"⊺⇮1234⊭↱⊺⇮-5822=⊺⇮-14107","layer":2},{"info":"⊺⇮3313≒∊⊺⇮3422=⊺⇮-2829","layer":3},{"info":"⇁⨣⪵⊺⇮-2829=NaN","layer":2},{"info":"⊺⇮-14107⋣⋖NaN=⊺⇮-14107","layer":1},{"info":"⊺⇮49500⊋≦⊧⊺⇮-14107=⊺⇮28454","layer":0}]}
{"id":249,"expression_no_base_symbol":"(⇘(($2033$⨶)⩨$1463$⪉⨛$4016$))⇟⨁⪰","expression":"(⇘((⊺⇮2033⨶)⩨⊺⇮1463⪉⨛⊺⇮4016))⇟⨁⪰","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":102,"operation_count":5,"complexity_ratio":20.4,"tree":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":2033,"base":10}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1463,"base":10},"right_expr":{"type":"numeric_atoms","value":4016,"base":10}}}}},"used_operators":["BX1lVwlMe0","MGuIdZPyUC","2DlMacCsIx","rFxw8gIMmB","EWw2JM7wp4"],"dependent_operators":["2DDjHMKMc0","xUOZtlo3hN","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","f6k1SAg4EE","Qy55tPpLXF","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⊺⇮1661","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2033","layer":4},{"info":"compute unary expreesion, input=2033, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=2320","layer":3},{"info":"number node, value=1463","layer":4},{"info":"number node, value=4016","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=4016, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=588","layer":3},{"info":"compute binary expreesion, left_input=2320, right_input=588, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1835","layer":1},{"info":"compute unary expreesion, input=-1835, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=1661","layer":0}],"base":10,"result_base":10,"text":"(⇘((⊺⇮2033⨶)⩨⊺⇮1463⪉⨛⊺⇮4016))⇟⨁⪰=⊺⇮1661","reverse_text":"⊺⇮1661=(⇘((⊺⇮2033⨶)⩨⊺⇮1463⪉⨛⊺⇮4016))⇟⨁⪰","cot":[{"info":"⊺⇮2033⨶=⊺⇮2320","layer":3},{"info":"⊺⇮1463⪉⨛⊺⇮4016=⊺⇮588","layer":3},{"info":"⊺⇮2320⩨⊺⇮588=⊺⇮0","layer":2},{"info":"⇘⊺⇮0=⊺⇮-1835","layer":1},{"info":"⊺⇮-1835⇟⨁⪰=⊺⇮1661","layer":0}]}
{"id":250,"expression_no_base_symbol":"(≸≮($6357$⊝⪿⪼$2959$)⋕⪉⪜($1664$≹⇙⪍$1312$))⇤(($1054$⩍⋽⫝̸$3003$⋫)⪔⊥(⊵⊁$1307$)⨿($1360$⊭↱$2809$))","expression":"(≸≮(⊺⇮6357⊝⪿⪼⊺⇮2959)⋕⪉⪜(⊺⇮1664≹⇙⪍⊺⇮1312))⇤((⊺⇮1054⩍⋽⫝̸⊺⇮3003⋫)⪔⊥(⊵⊁⊺⇮1307)⨿(⊺⇮1360⊭↱⊺⇮2809))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2412,"operation_count":11,"complexity_ratio":219.27272727272728,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6357,"base":10},"right_expr":{"type":"numeric_atoms","value":2959,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1664,"base":10},"right_expr":{"type":"numeric_atoms","value":1312,"base":10}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1054,"base":10},"right_expr":{"type":"numeric_atoms","value":3003,"base":10}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1307,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1360,"base":10},"right_expr":{"type":"numeric_atoms","value":2809,"base":10}}}}},"used_operators":["YSKBFp38Pu","AljMvE3RRm","z6LnFrNh4i","3Oe9XWJUTD","AHs5Up7iyr","HJ9erzHUuu","JL8yIekQnl","BiWNJpBvwn","abYXlopdE0","AvED76WdY7","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","dWAJyo7jo9","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","tmPS8pqC7x","Ph9nP6C5qx","xUOZtlo3hN","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮6368","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6357","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=6357, right_input=2959, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=86567","layer":3},{"info":"number node, value=1664","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=1312, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=86567, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=554","layer":1},{"info":"number node, value=1054","layer":4},{"info":"number node, value=3003","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=3003, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2057","layer":3},{"info":"compute unary expreesion, input=2057, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2057","layer":2},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=6772","layer":3},{"info":"number node, value=1360","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=2809, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2903","layer":3},{"info":"compute binary expreesion, left_input=6772, right_input=2903, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=2057, right_input=-319, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1258","layer":1},{"info":"compute binary expreesion, left_input=554, right_input=-1258, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=6368","layer":0}],"base":10,"result_base":10,"text":"(≸≮(⊺⇮6357⊝⪿⪼⊺⇮2959)⋕⪉⪜(⊺⇮1664≹⇙⪍⊺⇮1312))⇤((⊺⇮1054⩍⋽⫝̸⊺⇮3003⋫)⪔⊥(⊵⊁⊺⇮1307)⨿(⊺⇮1360⊭↱⊺⇮2809))=⊺⇮6368","reverse_text":"⊺⇮6368=(≸≮(⊺⇮6357⊝⪿⪼⊺⇮2959)⋕⪉⪜(⊺⇮1664≹⇙⪍⊺⇮1312))⇤((⊺⇮1054⩍⋽⫝̸⊺⇮3003⋫)⪔⊥(⊵⊁⊺⇮1307)⨿(⊺⇮1360⊭↱⊺⇮2809))","cot":[{"info":"⊺⇮6357⊝⪿⪼⊺⇮2959=⊺⇮86567","layer":3},{"info":"⊺⇮1664≹⇙⪍⊺⇮1312=NaN","layer":3},{"info":"⊺⇮86567⋕⪉⪜NaN=⊺⇮204","layer":2},{"info":"≸≮⊺⇮204=⊺⇮554","layer":1},{"info":"⊺⇮1054⩍⋽⫝̸⊺⇮3003=⊺⇮2057","layer":3},{"info":"⊺⇮2057⋫=⊺⇮2057","layer":2},{"info":"⊵⊁⊺⇮1307=⊺⇮6772","layer":3},{"info":"⊺⇮1360⊭↱⊺⇮2809=⊺⇮2903","layer":3},{"info":"⊺⇮6772⨿⊺⇮2903=⊺⇮-319","layer":2},{"info":"⊺⇮2057⪔⊥⊺⇮-319=⊺⇮-1258","layer":1},{"info":"⊺⇮554⇤⊺⇮-1258=⊺⇮6368","layer":0}]}
{"id":251,"expression_no_base_symbol":"((⫵↿($2838$⫲≸⪮$2865$))⇮⋭($4658$⨜⨶$2089$⊉≛↸$3256$⪟⇏$3572$))≎⊠⪸(∷≠($2839$∽$1140$))∳⫺(($1342$∙⊟$4391$)⊔($1003$≝⊰⇂))","expression":"((⫵↿(⊺⇮2838⫲≸⪮⊺⇮2865))⇮⋭(⊺⇮4658⨜⨶⊺⇮2089⊉≛↸⊺⇮3256⪟⇏⊺⇮3572))≎⊠⪸(∷≠(⊺⇮2839∽⊺⇮1140))∳⫺((⊺⇮1342∙⊟⊺⇮4391)⊔(⊺⇮1003≝⊰⇂))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5885,"operation_count":13,"complexity_ratio":452.6923076923077,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2838,"base":10},"right_expr":{"type":"numeric_atoms","value":2865,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4658,"base":10},"right_expr":{"type":"numeric_atoms","value":2089,"base":10}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3256,"base":10},"right_expr":{"type":"numeric_atoms","value":3572,"base":10}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2839,"base":10},"right_expr":{"type":"numeric_atoms","value":1140,"base":10}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1342,"base":10},"right_expr":{"type":"numeric_atoms","value":4391,"base":10}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1003,"base":10}}}}},"used_operators":["bJkvcejdHO","vkpjKywKVM","ivGwdmUAux","P3lXMJvFrc","DZ8iAZOCBD","HiPekx5b7W","GODebY97qR","AzXXKTstlj","QiR2Oyf5Xj","y4ImoPnbV5","E4l6HwMY31","SxTAKzQCrw","htSmYCowi5"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","7j4O788W3g","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","DlLNRPXxWL"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2838","layer":4},{"info":"number node, value=2865","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=2865, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2838","layer":3},{"info":"compute unary expreesion, input=2838, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=4658","layer":4},{"info":"number node, value=2089","layer":4},{"info":"compute binary expreesion, left_input=4658, right_input=2089, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3922","layer":3},{"info":"number node, value=3256","layer":4},{"info":"number node, value=3572","layer":4},{"info":"compute binary expreesion, left_input=3256, right_input=3572, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-3922, right_input=-1, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=1, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=777","layer":1},{"info":"number node, value=2839","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=2839, right_input=1140, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17437","layer":3},{"info":"compute unary expreesion, input=-17437, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-17437","layer":2},{"info":"number node, value=1342","layer":4},{"info":"number node, value=4391","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=4391, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=27292","layer":3},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=27292, right_input=0, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=52184","layer":2},{"info":"compute binary expreesion, left_input=-17437, right_input=52184, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-174054","layer":1},{"info":"compute binary expreesion, left_input=777, right_input=-174054, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⫵↿(⊺⇮2838⫲≸⪮⊺⇮2865))⇮⋭(⊺⇮4658⨜⨶⊺⇮2089⊉≛↸⊺⇮3256⪟⇏⊺⇮3572))≎⊠⪸(∷≠(⊺⇮2839∽⊺⇮1140))∳⫺((⊺⇮1342∙⊟⊺⇮4391)⊔(⊺⇮1003≝⊰⇂))=⊺⇮67","reverse_text":"⊺⇮67=((⫵↿(⊺⇮2838⫲≸⪮⊺⇮2865))⇮⋭(⊺⇮4658⨜⨶⊺⇮2089⊉≛↸⊺⇮3256⪟⇏⊺⇮3572))≎⊠⪸(∷≠(⊺⇮2839∽⊺⇮1140))∳⫺((⊺⇮1342∙⊟⊺⇮4391)⊔(⊺⇮1003≝⊰⇂))","cot":[{"info":"⊺⇮2838⫲≸⪮⊺⇮2865=⊺⇮2838","layer":3},{"info":"⫵↿⊺⇮2838=⊺⇮137","layer":2},{"info":"⊺⇮4658⨜⨶⊺⇮2089=⊺⇮-3922","layer":3},{"info":"⊺⇮3256⪟⇏⊺⇮3572=⊺⇮-1","layer":3},{"info":"⊺⇮-3922⊉≛↸⊺⇮-1=⊺⇮1","layer":2},{"info":"⊺⇮137⇮⋭⊺⇮1=⊺⇮777","layer":1},{"info":"⊺⇮2839∽⊺⇮1140=⊺⇮-17437","layer":3},{"info":"∷≠⊺⇮-17437=⊺⇮-17437","layer":2},{"info":"⊺⇮1342∙⊟⊺⇮4391=⊺⇮27292","layer":3},{"info":"⊺⇮1003≝⊰⇂=⊺⇮0","layer":3},{"info":"⊺⇮27292⊔⊺⇮0=⊺⇮52184","layer":2},{"info":"⊺⇮-17437∳⫺⊺⇮52184=⊺⇮-174054","layer":1},{"info":"⊺⇮777≎⊠⪸⊺⇮-174054=⊺⇮67","layer":0}]}
{"id":252,"expression_no_base_symbol":"($4510$⨎$7887$)⇍⊗($3123$↺$1421$)⇴($4433$⨟⋌⩍$4294$⩧⪆$5068$⊝⪿⪼$1635$)∑⇟⊟($4199$⨑⩅≇$3146$≭$4806$⫘$2082$⫥∨⫟($3291$≬⋮$2214$)⪟⇏($1560$∖$2288$))","expression":"(⊺⇮4510⨎⊺⇮7887)⇍⊗(⊺⇮3123↺⊺⇮1421)⇴(⊺⇮4433⨟⋌⩍⊺⇮4294⩧⪆⊺⇮5068⊝⪿⪼⊺⇮1635)∑⇟⊟(⊺⇮4199⨑⩅≇⊺⇮3146≭⊺⇮4806⫘⊺⇮2082⫥∨⫟(⊺⇮3291≬⋮⊺⇮2214)⪟⇏(⊺⇮1560∖⊺⇮2288))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8881,"operation_count":15,"complexity_ratio":592.0666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4510,"base":10},"right_expr":{"type":"numeric_atoms","value":7887,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3123,"base":10},"right_expr":{"type":"numeric_atoms","value":1421,"base":10}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4433,"base":10},"right_expr":{"type":"numeric_atoms","value":4294,"base":10}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":5068,"base":10},"right_expr":{"type":"numeric_atoms","value":1635,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4199,"base":10},"right_expr":{"type":"numeric_atoms","value":3146,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4806,"base":10},"right_expr":{"type":"numeric_atoms","value":2082,"base":10}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3291,"base":10},"right_expr":{"type":"numeric_atoms","value":2214,"base":10}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1560,"base":10},"right_expr":{"type":"numeric_atoms","value":2288,"base":10}}}}},"used_operators":["U7g4x0WXJJ","4JB6nKBMSY","5uvYHDjeKN","rJVOvQCfKK","7j4O788W3g","Ikt5ks8PT7","rGHVDoGpnC","3Oe9XWJUTD","KYD54nUTWz","rxpJgHHUmx","h92wMvzauj","48vC8HMD2b","GODebY97qR","kbkesczE7y","tXD093vOjl"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","NTOWxs364D","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","Tcnh7f0tEr","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4510","layer":4},{"info":"number node, value=7887","layer":4},{"info":"compute binary expreesion, left_input=4510, right_input=7887, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7887","layer":3},{"info":"number node, value=3123","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=1421, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1421","layer":3},{"info":"compute binary expreesion, left_input=7887, right_input=1421, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=4433","layer":4},{"info":"number node, value=4294","layer":4},{"info":"compute binary expreesion, left_input=4433, right_input=4294, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5068","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=5068, right_input=1635, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=72458","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=72458, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-72458","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-72458, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-146766","layer":1},{"info":"number node, value=4199","layer":4},{"info":"number node, value=3146","layer":4},{"info":"compute binary expreesion, left_input=4199, right_input=3146, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-12597","layer":3},{"info":"number node, value=4806","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=4806, right_input=2082, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5656261","layer":3},{"info":"compute binary expreesion, left_input=-12597, right_input=5656261, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3291","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=2214, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1560","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=2288, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-146766, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4510⨎⊺⇮7887)⇍⊗(⊺⇮3123↺⊺⇮1421)⇴(⊺⇮4433⨟⋌⩍⊺⇮4294⩧⪆⊺⇮5068⊝⪿⪼⊺⇮1635)∑⇟⊟(⊺⇮4199⨑⩅≇⊺⇮3146≭⊺⇮4806⫘⊺⇮2082⫥∨⫟(⊺⇮3291≬⋮⊺⇮2214)⪟⇏(⊺⇮1560∖⊺⇮2288))=NaN","reverse_text":"NaN=(⊺⇮4510⨎⊺⇮7887)⇍⊗(⊺⇮3123↺⊺⇮1421)⇴(⊺⇮4433⨟⋌⩍⊺⇮4294⩧⪆⊺⇮5068⊝⪿⪼⊺⇮1635)∑⇟⊟(⊺⇮4199⨑⩅≇⊺⇮3146≭⊺⇮4806⫘⊺⇮2082⫥∨⫟(⊺⇮3291≬⋮⊺⇮2214)⪟⇏(⊺⇮1560∖⊺⇮2288))","cot":[{"info":"⊺⇮4510⨎⊺⇮7887=⊺⇮7887","layer":3},{"info":"⊺⇮3123↺⊺⇮1421=⊺⇮1421","layer":3},{"info":"⊺⇮7887⇍⊗⊺⇮1421=⊺⇮-244","layer":2},{"info":"⊺⇮4433⨟⋌⩍⊺⇮4294=NaN","layer":3},{"info":"⊺⇮5068⊝⪿⪼⊺⇮1635=⊺⇮72458","layer":3},{"info":"NaN⩧⪆⊺⇮72458=⊺⇮-72458","layer":2},{"info":"⊺⇮-244⇴⊺⇮-72458=⊺⇮-146766","layer":1},{"info":"⊺⇮4199⨑⩅≇⊺⇮3146=⊺⇮-12597","layer":3},{"info":"⊺⇮4806⫘⊺⇮2082=⊺⇮5656261","layer":3},{"info":"⊺⇮-12597≭⊺⇮5656261=NaN","layer":2},{"info":"⊺⇮3291≬⋮⊺⇮2214=⊺⇮868","layer":3},{"info":"⊺⇮1560∖⊺⇮2288=⊺⇮0","layer":3},{"info":"⊺⇮868⪟⇏⊺⇮0=⊺⇮0","layer":2},{"info":"NaN⫥∨⫟⊺⇮0=NaN","layer":1},{"info":"⊺⇮-146766∑⇟⊟NaN=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"(($1156$⪒⊣⊆$5255$⫲⨊)≎⊠⪸((⨛$1942$)⋷(↩⪖$1233$)))⨻⩈⩔((($3945$∠⫱$1314$)⇚⪠)⊬⫿⊭)","expression":"((⊺⇮1156⪒⊣⊆⊺⇮5255⫲⨊)≎⊠⪸((⨛⊺⇮1942)⋷(↩⪖⊺⇮1233)))⨻⩈⩔(((⊺⇮3945∠⫱⊺⇮1314)⇚⪠)⊬⫿⊭)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1451,"operation_count":10,"complexity_ratio":145.1,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1156,"base":10},"right_expr":{"type":"numeric_atoms","value":5255,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1942,"base":10}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1233,"base":10}}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3945,"base":10},"right_expr":{"type":"numeric_atoms","value":1314,"base":10}}}}},"used_operators":["nEsXyWgiOK","bJkvcejdHO","CArV6hThFE","eRqsBgTDFp","23Mk6UjR3U","CoMdbyAt7R","fG6uBQFnGz","v0DYgG9ikt","Loh9y4A90B","QvoQhV0rrE"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⊺⇮-174","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1156","layer":4},{"info":"number node, value=5255","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=5255, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2312","layer":3},{"info":"compute unary expreesion, input=2312, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=12343","layer":2},{"info":"number node, value=1942","layer":4},{"info":"compute unary expreesion, input=1942, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-10380","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10380, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12343, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=3945","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=3945, right_input=1314, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=3045512","layer":2},{"info":"compute unary expreesion, input=3045512, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-9136536","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-9136536, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1156⪒⊣⊆⊺⇮5255⫲⨊)≎⊠⪸((⨛⊺⇮1942)⋷(↩⪖⊺⇮1233)))⨻⩈⩔(((⊺⇮3945∠⫱⊺⇮1314)⇚⪠)⊬⫿⊭)=⊺⇮-174","reverse_text":"⊺⇮-174=((⊺⇮1156⪒⊣⊆⊺⇮5255⫲⨊)≎⊠⪸((⨛⊺⇮1942)⋷(↩⪖⊺⇮1233)))⨻⩈⩔(((⊺⇮3945∠⫱⊺⇮1314)⇚⪠)⊬⫿⊭)","cot":[{"info":"⊺⇮1156⪒⊣⊆⊺⇮5255=⊺⇮2312","layer":3},{"info":"⊺⇮2312⫲⨊=⊺⇮12343","layer":2},{"info":"⨛⊺⇮1942=NaN","layer":3},{"info":"↩⪖⊺⇮1233=⊺⇮-10380","layer":3},{"info":"NaN⋷⊺⇮-10380=NaN","layer":2},{"info":"⊺⇮12343≎⊠⪸NaN=⊺⇮67","layer":1},{"info":"⊺⇮3945∠⫱⊺⇮1314=⊺⇮1234","layer":3},{"info":"⊺⇮1234⇚⪠=⊺⇮3045512","layer":2},{"info":"⊺⇮3045512⊬⫿⊭=⊺⇮-9136536","layer":1},{"info":"⊺⇮67⨻⩈⩔⊺⇮-9136536=⊺⇮-174","layer":0}]}
{"id":254,"expression_no_base_symbol":"(($2625$∊∟⩊$2866$)⨥⫆($2676$⇆⨓≜))↤⩊($5752$≨$7152$⫢⨠($1988$⫰⋱$3579$))↳∿⪆($4154$⪟⇏$5140$⨳⩥⨓($2915$↙$3162$)∲⫓(≸($2330$⨎$2926$)))","expression":"((⊺⇮2625∊∟⩊⊺⇮2866)⨥⫆(⊺⇮2676⇆⨓≜))↤⩊(⊺⇮5752≨⊺⇮7152⫢⨠(⊺⇮1988⫰⋱⊺⇮3579))↳∿⪆(⊺⇮4154⪟⇏⊺⇮5140⨳⩥⨓(⊺⇮2915↙⊺⇮3162)∲⫓(≸(⊺⇮2330⨎⊺⇮2926)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6309,"operation_count":14,"complexity_ratio":450.64285714285717,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2625,"base":10},"right_expr":{"type":"numeric_atoms","value":2866,"base":10}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":2676,"base":10}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5752,"base":10},"right_expr":{"type":"numeric_atoms","value":7152,"base":10}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1988,"base":10},"right_expr":{"type":"numeric_atoms","value":3579,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4154,"base":10},"right_expr":{"type":"numeric_atoms","value":5140,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2915,"base":10},"right_expr":{"type":"numeric_atoms","value":3162,"base":10}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2330,"base":10},"right_expr":{"type":"numeric_atoms","value":2926,"base":10}}}}},"used_operators":["Cw4SuJJGHO","13rbtpv6ld","yXekIHxTD4","ddLRYrp01A","KvvgdUaMHJ","xlXykHWxX1","0KMCeP1Jsh","6o9Blt3TJ6","i8ToyICDmI","nCS4ZIUYfx","GODebY97qR","yyfyN0ffXY","eOf03JbCpp","rJVOvQCfKK"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","Uaa54Peajs","KYD54nUTWz","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2625","layer":4},{"info":"number node, value=2866","layer":4},{"info":"compute binary expreesion, left_input=2625, right_input=2866, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2866","layer":3},{"info":"number node, value=2676","layer":4},{"info":"compute unary expreesion, input=2676, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2866, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=5752","layer":4},{"info":"number node, value=7152","layer":4},{"info":"compute binary expreesion, left_input=5752, right_input=7152, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-55044","layer":3},{"info":"number node, value=1988","layer":4},{"info":"number node, value=3579","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=3579, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1955","layer":3},{"info":"compute binary expreesion, left_input=-55044, right_input=-1955, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=454722","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=454722, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=4154","layer":4},{"info":"number node, value=5140","layer":4},{"info":"compute binary expreesion, left_input=4154, right_input=5140, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2915","layer":4},{"info":"number node, value=3162","layer":4},{"info":"compute binary expreesion, left_input=2915, right_input=3162, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9486","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-9486, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-9485","layer":2},{"info":"number node, value=2330","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=2926, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2926","layer":3},{"info":"compute unary expreesion, input=2926, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"compute binary expreesion, left_input=-9485, right_input=58, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-9485","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9485, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2625∊∟⩊⊺⇮2866)⨥⫆(⊺⇮2676⇆⨓≜))↤⩊(⊺⇮5752≨⊺⇮7152⫢⨠(⊺⇮1988⫰⋱⊺⇮3579))↳∿⪆(⊺⇮4154⪟⇏⊺⇮5140⨳⩥⨓(⊺⇮2915↙⊺⇮3162)∲⫓(≸(⊺⇮2330⨎⊺⇮2926)))=NaN","reverse_text":"NaN=((⊺⇮2625∊∟⩊⊺⇮2866)⨥⫆(⊺⇮2676⇆⨓≜))↤⩊(⊺⇮5752≨⊺⇮7152⫢⨠(⊺⇮1988⫰⋱⊺⇮3579))↳∿⪆(⊺⇮4154⪟⇏⊺⇮5140⨳⩥⨓(⊺⇮2915↙⊺⇮3162)∲⫓(≸(⊺⇮2330⨎⊺⇮2926)))","cot":[{"info":"⊺⇮2625∊∟⩊⊺⇮2866=⊺⇮2866","layer":3},{"info":"⊺⇮2676⇆⨓≜=NaN","layer":3},{"info":"⊺⇮2866⨥⫆NaN=NaN","layer":2},{"info":"⊺⇮5752≨⊺⇮7152=⊺⇮-55044","layer":3},{"info":"⊺⇮1988⫰⋱⊺⇮3579=⊺⇮-1955","layer":3},{"info":"⊺⇮-55044⫢⨠⊺⇮-1955=⊺⇮454722","layer":2},{"info":"NaN↤⩊⊺⇮454722=NaN","layer":1},{"info":"⊺⇮4154⪟⇏⊺⇮5140=⊺⇮-1","layer":3},{"info":"⊺⇮2915↙⊺⇮3162=⊺⇮-9486","layer":3},{"info":"⊺⇮-1⨳⩥⨓⊺⇮-9486=⊺⇮-9485","layer":2},{"info":"⊺⇮2330⨎⊺⇮2926=⊺⇮2926","layer":3},{"info":"≸⊺⇮2926=⊺⇮58","layer":2},{"info":"⊺⇮-9485∲⫓⊺⇮58=⊺⇮-9485","layer":1},{"info":"NaN↳∿⪆⊺⇮-9485=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"(⋗⩬⋾$3404$⊕∕$4865$)⪔($2639$⨵⪆$1875$)⊱⇼⊻($1183$%$1075$)⨒(($3152$⪭$6939$)≹⇙⪍($1230$⋝⋈⪟$1264$))⊉↱≁($1050$⋅⇍$2719$)⪝($3918$↳≱$7496$)","expression":"(⋗⩬⋾⊺⇮3404⊕∕⊺⇮4865)⪔(⊺⇮2639⨵⪆⊺⇮1875)⊱⇼⊻(⊺⇮1183%⊺⇮1075)⨒((⊺⇮3152⪭⊺⇮6939)≹⇙⪍(⊺⇮1230⋝⋈⪟⊺⇮1264))⊉↱≁(⊺⇮1050⋅⇍⊺⇮2719)⪝(⊺⇮3918↳≱⊺⇮7496)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4102,"operation_count":14,"complexity_ratio":293.0,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3404,"base":10},"right_expr":{"type":"numeric_atoms","value":4865,"base":10}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2639,"base":10},"right_expr":{"type":"numeric_atoms","value":1875,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1183,"base":10},"right_expr":{"type":"numeric_atoms","value":1075,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3152,"base":10},"right_expr":{"type":"numeric_atoms","value":6939,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1230,"base":10},"right_expr":{"type":"numeric_atoms","value":1264,"base":10}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1050,"base":10},"right_expr":{"type":"numeric_atoms","value":2719,"base":10}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3918,"base":10},"right_expr":{"type":"numeric_atoms","value":7496,"base":10}}}}},"used_operators":["y75s1iXyHd","GjBEYRfMaF","DpFCA1CohY","9cloC0Ngie","FyVja0WsTP","2DQ55sFlQl","k8jYdgA6NY","w2P8NbNXyL","AHs5Up7iyr","j9kHMeSvPp","2DDjHMKMc0","wicAB68Tmb","AdZkA7nFnk","JwTKLfZU96"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","dWAJyo7jo9","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3404","layer":4},{"info":"number node, value=4865","layer":4},{"info":"compute binary expreesion, left_input=3404, right_input=4865, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3404","layer":3},{"info":"compute unary expreesion, input=3404, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10212","layer":2},{"info":"number node, value=2639","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=1875, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=1075, op_id = k8jYdgA6NY binary_op_definition= 'None', output=108","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=108, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=3442","layer":2},{"info":"compute binary expreesion, left_input=-10212, right_input=3442, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=3152","layer":4},{"info":"number node, value=6939","layer":4},{"info":"compute binary expreesion, left_input=3152, right_input=6939, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1264, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1230","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=1230, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2719, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=3918","layer":4},{"info":"number node, value=7496","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=7496, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1095","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1095, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⋗⩬⋾⊺⇮3404⊕∕⊺⇮4865)⪔(⊺⇮2639⨵⪆⊺⇮1875)⊱⇼⊻(⊺⇮1183%⊺⇮1075)⨒((⊺⇮3152⪭⊺⇮6939)≹⇙⪍(⊺⇮1230⋝⋈⪟⊺⇮1264))⊉↱≁(⊺⇮1050⋅⇍⊺⇮2719)⪝(⊺⇮3918↳≱⊺⇮7496)=NaN","reverse_text":"NaN=(⋗⩬⋾⊺⇮3404⊕∕⊺⇮4865)⪔(⊺⇮2639⨵⪆⊺⇮1875)⊱⇼⊻(⊺⇮1183%⊺⇮1075)⨒((⊺⇮3152⪭⊺⇮6939)≹⇙⪍(⊺⇮1230⋝⋈⪟⊺⇮1264))⊉↱≁(⊺⇮1050⋅⇍⊺⇮2719)⪝(⊺⇮3918↳≱⊺⇮7496)","cot":[{"info":"⊺⇮3404⊕∕⊺⇮4865=⊺⇮3404","layer":3},{"info":"⋗⩬⋾⊺⇮3404=⊺⇮-10212","layer":2},{"info":"⊺⇮2639⨵⪆⊺⇮1875=⊺⇮160","layer":3},{"info":"⊺⇮1183%⊺⇮1075=⊺⇮108","layer":3},{"info":"⊺⇮160⊱⇼⊻⊺⇮108=⊺⇮3442","layer":2},{"info":"⊺⇮-10212⪔⊺⇮3442=⊺⇮450","layer":1},{"info":"⊺⇮3152⪭⊺⇮6939=⊺⇮5","layer":3},{"info":"⊺⇮1230⋝⋈⪟⊺⇮1264=⊺⇮1230","layer":3},{"info":"⊺⇮5≹⇙⪍⊺⇮1230=NaN","layer":2},{"info":"⊺⇮1050⋅⇍⊺⇮2719=⊺⇮-22","layer":3},{"info":"⊺⇮3918↳≱⊺⇮7496=⊺⇮0","layer":3},{"info":"⊺⇮-22⪝⊺⇮0=⊺⇮-1095","layer":2},{"info":"NaN⊉↱≁⊺⇮-1095=NaN","layer":1},{"info":"⊺⇮450⨒NaN=NaN","layer":0}]}
{"id":256,"expression_no_base_symbol":"($2401$⪡$1637$≎⊠⪸($1604$⨭⪣$1319$))⩒⫫(⫯($1243$⪓⨏))⋷(≅≯⇸(↡($1082$↙$5750$)))","expression":"(⊺⇮2401⪡⊺⇮1637≎⊠⪸(⊺⇮1604⨭⪣⊺⇮1319))⩒⫫(⫯(⊺⇮1243⪓⨏))⋷(≅≯⇸(↡(⊺⇮1082↙⊺⇮5750)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7433,"operation_count":10,"complexity_ratio":743.3,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2401,"base":10},"right_expr":{"type":"numeric_atoms","value":1637,"base":10}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1604,"base":10},"right_expr":{"type":"numeric_atoms","value":1319,"base":10}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1243,"base":10}}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1082,"base":10},"right_expr":{"type":"numeric_atoms","value":5750,"base":10}}}}},"used_operators":["23Mk6UjR3U","KFSx94NKJn","bJkvcejdHO","oraRL2iQuh","kn8WO9XteQ","H6BK1Evt7c","4X9JU4Jbn6","apS25hmuAe","MXaNJeIAZ3","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","EBcxylXtPf","QMFrweE19q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2401","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=1637, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1604","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=1319, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=325","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=325, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=27240","layer":2},{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=27240, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=1082","layer":4},{"info":"number node, value=5750","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=5750, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17250","layer":3},{"info":"compute unary expreesion, input=-17250, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-155250","layer":2},{"info":"compute unary expreesion, input=-155250, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-613323","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-613323, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2401⪡⊺⇮1637≎⊠⪸(⊺⇮1604⨭⪣⊺⇮1319))⩒⫫(⫯(⊺⇮1243⪓⨏))⋷(≅≯⇸(↡(⊺⇮1082↙⊺⇮5750)))=NaN","reverse_text":"NaN=(⊺⇮2401⪡⊺⇮1637≎⊠⪸(⊺⇮1604⨭⪣⊺⇮1319))⩒⫫(⫯(⊺⇮1243⪓⨏))⋷(≅≯⇸(↡(⊺⇮1082↙⊺⇮5750)))","cot":[{"info":"⊺⇮2401⪡⊺⇮1637=⊺⇮107","layer":3},{"info":"⊺⇮1604⨭⪣⊺⇮1319=⊺⇮325","layer":3},{"info":"⊺⇮107≎⊠⪸⊺⇮325=⊺⇮27240","layer":2},{"info":"⊺⇮1243⪓⨏=NaN","layer":3},{"info":"⫯NaN=NaN","layer":2},{"info":"⊺⇮27240⩒⫫NaN=NaN","layer":1},{"info":"⊺⇮1082↙⊺⇮5750=⊺⇮-17250","layer":3},{"info":"↡⊺⇮-17250=⊺⇮-155250","layer":2},{"info":"≅≯⇸⊺⇮-155250=⊺⇮-613323","layer":1},{"info":"NaN⋷⊺⇮-613323=NaN","layer":0}]}
{"id":257,"expression_no_base_symbol":"($6356$⫲≸⪮$2862$⋓($6187$⪨≂$4163$)⋝⋈⪟($4121$⨸⪁$3847$↸$2447$⋣⋖$5307$))∑⇟⊟((⫟$4437$)⨑≵⋬($8118$∷$6998$)⊭↱($2459$⩇∃⫛$1207$)∇⊂⋱($1348$⩒⫫$1426$))","expression":"(⊺⇮6356⫲≸⪮⊺⇮2862⋓(⊺⇮6187⪨≂⊺⇮4163)⋝⋈⪟(⊺⇮4121⨸⪁⊺⇮3847↸⊺⇮2447⋣⋖⊺⇮5307))∑⇟⊟((⫟⊺⇮4437)⨑≵⋬(⊺⇮8118∷⊺⇮6998)⊭↱(⊺⇮2459⩇∃⫛⊺⇮1207)∇⊂⋱(⊺⇮1348⩒⫫⊺⇮1426))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8933,"operation_count":15,"complexity_ratio":595.5333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6356,"base":10},"right_expr":{"type":"numeric_atoms","value":2862,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6187,"base":10},"right_expr":{"type":"numeric_atoms","value":4163,"base":10}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4121,"base":10},"right_expr":{"type":"numeric_atoms","value":3847,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2447,"base":10},"right_expr":{"type":"numeric_atoms","value":5307,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":4437,"base":10}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":8118,"base":10},"right_expr":{"type":"numeric_atoms","value":6998,"base":10}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2459,"base":10},"right_expr":{"type":"numeric_atoms","value":1207,"base":10}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1348,"base":10},"right_expr":{"type":"numeric_atoms","value":1426,"base":10}}}}},"used_operators":["U7g4x0WXJJ","2DDjHMKMc0","T2fj7uvVaJ","P3lXMJvFrc","sdazOOVcIp","1eCjFl0mb9","g55IO6H4Gj","J0M6qkBnIM","COABgblf1C","XnXgA4xnOs","z4E1FaHLuy","D3AQDKkPcf","nhYeJWJD5X","1aApVXNlOP","KFSx94NKJn"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6356","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=6356, right_input=2862, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6356","layer":3},{"info":"number node, value=6187","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=6187, right_input=4163, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4150","layer":3},{"info":"compute binary expreesion, left_input=6356, right_input=4150, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=4121","layer":4},{"info":"number node, value=3847","layer":4},{"info":"compute binary expreesion, left_input=4121, right_input=3847, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15936","layer":3},{"info":"number node, value=2447","layer":4},{"info":"number node, value=5307","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=5307, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2447","layer":3},{"info":"compute binary expreesion, left_input=15936, right_input=2447, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=15936","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=15936, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"number node, value=4437","layer":4},{"info":"compute unary expreesion, input=4437, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-12404","layer":3},{"info":"number node, value=8118","layer":4},{"info":"number node, value=6998","layer":4},{"info":"compute binary expreesion, left_input=8118, right_input=6998, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6998","layer":3},{"info":"compute binary expreesion, left_input=-12404, right_input=6998, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-109627","layer":2},{"info":"number node, value=2459","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=1207, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-779","layer":3},{"info":"number node, value=1348","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1426, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1046","layer":3},{"info":"compute binary expreesion, left_input=-779, right_input=1046, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-2092","layer":2},{"info":"compute binary expreesion, left_input=-109627, right_input=-2092, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=215075","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=215075, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6356⫲≸⪮⊺⇮2862⋓(⊺⇮6187⪨≂⊺⇮4163)⋝⋈⪟(⊺⇮4121⨸⪁⊺⇮3847↸⊺⇮2447⋣⋖⊺⇮5307))∑⇟⊟((⫟⊺⇮4437)⨑≵⋬(⊺⇮8118∷⊺⇮6998)⊭↱(⊺⇮2459⩇∃⫛⊺⇮1207)∇⊂⋱(⊺⇮1348⩒⫫⊺⇮1426))=NaN","reverse_text":"NaN=(⊺⇮6356⫲≸⪮⊺⇮2862⋓(⊺⇮6187⪨≂⊺⇮4163)⋝⋈⪟(⊺⇮4121⨸⪁⊺⇮3847↸⊺⇮2447⋣⋖⊺⇮5307))∑⇟⊟((⫟⊺⇮4437)⨑≵⋬(⊺⇮8118∷⊺⇮6998)⊭↱(⊺⇮2459⩇∃⫛⊺⇮1207)∇⊂⋱(⊺⇮1348⩒⫫⊺⇮1426))","cot":[{"info":"⊺⇮6356⫲≸⪮⊺⇮2862=⊺⇮6356","layer":3},{"info":"⊺⇮6187⪨≂⊺⇮4163=⊺⇮4150","layer":3},{"info":"⊺⇮6356⋓⊺⇮4150=⊺⇮0","layer":2},{"info":"⊺⇮4121⨸⪁⊺⇮3847=⊺⇮15936","layer":3},{"info":"⊺⇮2447⋣⋖⊺⇮5307=⊺⇮2447","layer":3},{"info":"⊺⇮15936↸⊺⇮2447=⊺⇮15936","layer":2},{"info":"⊺⇮0⋝⋈⪟⊺⇮15936=⊺⇮0","layer":1},{"info":"⫟⊺⇮4437=⊺⇮-12404","layer":3},{"info":"⊺⇮8118∷⊺⇮6998=⊺⇮6998","layer":3},{"info":"⊺⇮-12404⨑≵⋬⊺⇮6998=⊺⇮-109627","layer":2},{"info":"⊺⇮2459⩇∃⫛⊺⇮1207=⊺⇮-779","layer":3},{"info":"⊺⇮1348⩒⫫⊺⇮1426=⊺⇮1046","layer":3},{"info":"⊺⇮-779∇⊂⋱⊺⇮1046=⊺⇮-2092","layer":2},{"info":"⊺⇮-109627⊭↱⊺⇮-2092=⊺⇮215075","layer":1},{"info":"⊺⇮0∑⇟⊟⊺⇮215075=NaN","layer":0}]}
{"id":258,"expression_no_base_symbol":"∐⩳⋚((($1479$⨕⋳)≃$5264$⩖⊿$1127$)∑⇟⊟$1635$⇍⊗$4300$↼⊘⨖($2082$*$4596$))","expression":"∐⩳⋚(((⊺⇮1479⨕⋳)≃⊺⇮5264⩖⊿⊺⇮1127)∑⇟⊟⊺⇮1635⇍⊗⊺⇮4300↼⊘⨖(⊺⇮2082*⊺⇮4596))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2292,"operation_count":8,"complexity_ratio":286.5,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1479,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5264,"base":10},"right_expr":{"type":"numeric_atoms","value":1127,"base":10}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1635,"base":10},"right_expr":{"type":"numeric_atoms","value":4300,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2082,"base":10},"right_expr":{"type":"numeric_atoms","value":4596,"base":10}}}}},"used_operators":["SL6IHkK8vl","U7g4x0WXJJ","YbVcJGFEVW","4X4GscPmMf","RZ5CV9rWsJ","bPywburJMS","5uvYHDjeKN","9HNa5Wba9A"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1479","layer":4},{"info":"compute unary expreesion, input=1479, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=49780","layer":3},{"info":"number node, value=5264","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=5264, right_input=1127, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-12122","layer":3},{"info":"compute binary expreesion, left_input=49780, right_input=-12122, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=48448","layer":2},{"info":"number node, value=1635","layer":4},{"info":"number node, value=4300","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=4300, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2082","layer":4},{"info":"number node, value=4596","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=4596, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9568872","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=9568872, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=19137522","layer":2},{"info":"compute binary expreesion, left_input=48448, right_input=19137522, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∐⩳⋚(((⊺⇮1479⨕⋳)≃⊺⇮5264⩖⊿⊺⇮1127)∑⇟⊟⊺⇮1635⇍⊗⊺⇮4300↼⊘⨖(⊺⇮2082*⊺⇮4596))=NaN","reverse_text":"NaN=∐⩳⋚(((⊺⇮1479⨕⋳)≃⊺⇮5264⩖⊿⊺⇮1127)∑⇟⊟⊺⇮1635⇍⊗⊺⇮4300↼⊘⨖(⊺⇮2082*⊺⇮4596))","cot":[{"info":"⊺⇮1479⨕⋳=⊺⇮49780","layer":3},{"info":"⊺⇮5264⩖⊿⊺⇮1127=⊺⇮-12122","layer":3},{"info":"⊺⇮49780≃⊺⇮-12122=⊺⇮48448","layer":2},{"info":"⊺⇮1635⇍⊗⊺⇮4300=⊺⇮-244","layer":3},{"info":"⊺⇮2082*⊺⇮4596=⊺⇮9568872","layer":3},{"info":"⊺⇮-244↼⊘⨖⊺⇮9568872=⊺⇮19137522","layer":2},{"info":"⊺⇮48448∑⇟⊟⊺⇮19137522=NaN","layer":1},{"info":"∐⩳⋚NaN=NaN","layer":0}]}
{"id":259,"expression_no_base_symbol":"((($4096$⫰⋱$2640$)⫿)∙∹∝(($3312$⋳⪒$3372$)⇯⋐))⫚⫇","expression":"(((⊺⇮4096⫰⋱⊺⇮2640)⫿)∙∹∝((⊺⇮3312⋳⪒⊺⇮3372)⇯⋐))⫚⫇","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":57,"operation_count":6,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4096,"base":10},"right_expr":{"type":"numeric_atoms","value":2640,"base":10}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3312,"base":10},"right_expr":{"type":"numeric_atoms","value":3372,"base":10}}}}},"used_operators":["SdCjLnB6rR","HmxsFra2vL","9tKT6PmtkH","6o9Blt3TJ6","LkLIoiE525","12rbrZMWeM"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-1468","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4096","layer":4},{"info":"number node, value=2640","layer":4},{"info":"compute binary expreesion, left_input=4096, right_input=2640, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4063","layer":3},{"info":"compute unary expreesion, input=-4063, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=8126","layer":2},{"info":"number node, value=3312","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=3372, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2965","layer":3},{"info":"compute unary expreesion, input=2965, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=9773","layer":2},{"info":"compute binary expreesion, left_input=8126, right_input=9773, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1468","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮4096⫰⋱⊺⇮2640)⫿)∙∹∝((⊺⇮3312⋳⪒⊺⇮3372)⇯⋐))⫚⫇=⊺⇮-1468","reverse_text":"⊺⇮-1468=(((⊺⇮4096⫰⋱⊺⇮2640)⫿)∙∹∝((⊺⇮3312⋳⪒⊺⇮3372)⇯⋐))⫚⫇","cot":[{"info":"⊺⇮4096⫰⋱⊺⇮2640=⊺⇮-4063","layer":3},{"info":"⊺⇮-4063⫿=⊺⇮8126","layer":2},{"info":"⊺⇮3312⋳⪒⊺⇮3372=⊺⇮2965","layer":3},{"info":"⊺⇮2965⇯⋐=⊺⇮9773","layer":2},{"info":"⊺⇮8126∙∹∝⊺⇮9773=⊺⇮0","layer":1},{"info":"⊺⇮0⫚⫇=⊺⇮-1468","layer":0}]}
{"id":260,"expression_no_base_symbol":"(∥⊫($1000$∪⫐$3933$)→⨶⪴(↯⪼$2209$))⪝(($2355$↤⩊$2434$∙∹∝$1555$≚⊃≕$2199$)⫑%∭)","expression":"(∥⊫(⊺⇮1000∪⫐⊺⇮3933)→⨶⪴(↯⪼⊺⇮2209))⪝((⊺⇮2355↤⩊⊺⇮2434∙∹∝⊺⇮1555≚⊃≕⊺⇮2199)⫑%∭)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1102,"operation_count":9,"complexity_ratio":122.44444444444444,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1000,"base":10},"right_expr":{"type":"numeric_atoms","value":3933,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2209,"base":10}}}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2355,"base":10},"right_expr":{"type":"numeric_atoms","value":2434,"base":10}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1555,"base":10},"right_expr":{"type":"numeric_atoms","value":2199,"base":10}}}}},"used_operators":["wicAB68Tmb","P8v4zCKN1o","bF6eod5Gvf","7YooWSwCyH","8jW3W4yZS5","xUx7qlDO4z","HmxsFra2vL","13rbtpv6ld","Bmrmz2XGnR"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","rJVOvQCfKK","2DDjHMKMc0","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=3933","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=3933, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1000","layer":3},{"info":"number node, value=2209","layer":4},{"info":"compute unary expreesion, input=2209, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=1000, right_input=-21, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=2010","layer":2},{"info":"compute unary expreesion, input=2010, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2878","layer":1},{"info":"number node, value=2355","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=2434, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1555","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=2199, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2878, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∥⊫(⊺⇮1000∪⫐⊺⇮3933)→⨶⪴(↯⪼⊺⇮2209))⪝((⊺⇮2355↤⩊⊺⇮2434∙∹∝⊺⇮1555≚⊃≕⊺⇮2199)⫑%∭)=NaN","reverse_text":"NaN=(∥⊫(⊺⇮1000∪⫐⊺⇮3933)→⨶⪴(↯⪼⊺⇮2209))⪝((⊺⇮2355↤⩊⊺⇮2434∙∹∝⊺⇮1555≚⊃≕⊺⇮2199)⫑%∭)","cot":[{"info":"⊺⇮1000∪⫐⊺⇮3933=⊺⇮1000","layer":3},{"info":"↯⪼⊺⇮2209=⊺⇮-21","layer":3},{"info":"⊺⇮1000→⨶⪴⊺⇮-21=⊺⇮2010","layer":2},{"info":"∥⊫⊺⇮2010=⊺⇮2878","layer":1},{"info":"⊺⇮2355↤⩊⊺⇮2434=NaN","layer":3},{"info":"⊺⇮1555≚⊃≕⊺⇮2199=⊺⇮67","layer":3},{"info":"NaN∙∹∝⊺⇮67=NaN","layer":2},{"info":"NaN⫑%∭=NaN","layer":1},{"info":"⊺⇮2878⪝NaN=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"((⨆≐≲$1486$)⩇∃⫛$5468$⊮⊟↴$4432$∟)⇍⊗(∓($4171$⫸⇳$2122$↺$5847$∼$1470$))","expression":"((⨆≐≲⊺⇮1486)⩇∃⫛⊺⇮5468⊮⊟↴⊺⇮4432∟)⇍⊗(∓(⊺⇮4171⫸⇳⊺⇮2122↺⊺⇮5847∼⊺⇮1470))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":47786890,"operation_count":9,"complexity_ratio":5309654.444444444,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1486,"base":10}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5468,"base":10},"right_expr":{"type":"numeric_atoms","value":4432,"base":10}}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4171,"base":10},"right_expr":{"type":"numeric_atoms","value":2122,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5847,"base":10},"right_expr":{"type":"numeric_atoms","value":1470,"base":10}}}}},"used_operators":["5uvYHDjeKN","hTbEZDJLEm","1aApVXNlOP","Bi9z9uYZqW","QDVgd2eftb","OwUj7dcsQK","7j4O788W3g","gx7XJ7hdpj","DyGG3AbaNP"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=15929304","layer":3},{"info":"number node, value=5468","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=5468, right_input=4432, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=15929304, right_input=0, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-15928831","layer":2},{"info":"compute unary expreesion, input=-15928831, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"number node, value=4171","layer":4},{"info":"number node, value=2122","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=2122, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=5847","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=5847, right_input=1470, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨆≐≲⊺⇮1486)⩇∃⫛⊺⇮5468⊮⊟↴⊺⇮4432∟)⇍⊗(∓(⊺⇮4171⫸⇳⊺⇮2122↺⊺⇮5847∼⊺⇮1470))=NaN","reverse_text":"NaN=((⨆≐≲⊺⇮1486)⩇∃⫛⊺⇮5468⊮⊟↴⊺⇮4432∟)⇍⊗(∓(⊺⇮4171⫸⇳⊺⇮2122↺⊺⇮5847∼⊺⇮1470))","cot":[{"info":"⨆≐≲⊺⇮1486=⊺⇮15929304","layer":3},{"info":"⊺⇮5468⊮⊟↴⊺⇮4432=⊺⇮0","layer":3},{"info":"⊺⇮15929304⩇∃⫛⊺⇮0=⊺⇮-15928831","layer":2},{"info":"⊺⇮-15928831∟=⊺⇮113","layer":1},{"info":"⊺⇮4171⫸⇳⊺⇮2122=⊺⇮0","layer":3},{"info":"⊺⇮5847∼⊺⇮1470=NaN","layer":3},{"info":"⊺⇮0↺NaN=NaN","layer":2},{"info":"∓NaN=NaN","layer":1},{"info":"⊺⇮113⇍⊗NaN=NaN","layer":0}]}
{"id":262,"expression_no_base_symbol":"((⫟(⪁⇼$1508$))⊉≛↸($2126$↺$1816$≬⋮(⪲⇎$4166$)))⫒⫫(⨭⩧⫛(⨈⫕$1010$))⪛($1406$⋛$4627$≥⨤⩑(∤$3185$))","expression":"((⫟(⪁⇼⊺⇮1508))⊉≛↸(⊺⇮2126↺⊺⇮1816≬⋮(⪲⇎⊺⇮4166)))⫒⫫(⨭⩧⫛(⨈⫕⊺⇮1010))⪛(⊺⇮1406⋛⊺⇮4627≥⨤⩑(∤⊺⇮3185))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1203,"operation_count":13,"complexity_ratio":92.53846153846153,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1508,"base":10}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2126,"base":10},"right_expr":{"type":"numeric_atoms","value":1816,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4166,"base":10}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1010,"base":10}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1406,"base":10},"right_expr":{"type":"numeric_atoms","value":4627,"base":10}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3185,"base":10}}}}},"used_operators":["6Ko8hGgeMq","DZ8iAZOCBD","z4E1FaHLuy","ZNVVrZ94lY","kbkesczE7y","7j4O788W3g","XPYlsWDdGa","uFcxV4UQCh","g21JL6JxX7","megm06wKyl","gJLn6v0xnP","YbUVn0Rbpy","k2HlF1dBQh"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"compute unary expreesion, input=1508, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-359","layer":2},{"info":"number node, value=2126","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=1816, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1816","layer":3},{"info":"number node, value=4166","layer":4},{"info":"compute unary expreesion, input=4166, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8332","layer":3},{"info":"compute binary expreesion, left_input=1816, right_input=8332, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-359, right_input=868, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-868","layer":1},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=1406","layer":4},{"info":"number node, value=4627","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=4627, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-119538","layer":3},{"info":"number node, value=3185","layer":4},{"info":"compute unary expreesion, input=3185, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=-119538, right_input=9, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-868, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⫟(⪁⇼⊺⇮1508))⊉≛↸(⊺⇮2126↺⊺⇮1816≬⋮(⪲⇎⊺⇮4166)))⫒⫫(⨭⩧⫛(⨈⫕⊺⇮1010))⪛(⊺⇮1406⋛⊺⇮4627≥⨤⩑(∤⊺⇮3185))=NaN","reverse_text":"NaN=((⫟(⪁⇼⊺⇮1508))⊉≛↸(⊺⇮2126↺⊺⇮1816≬⋮(⪲⇎⊺⇮4166)))⫒⫫(⨭⩧⫛(⨈⫕⊺⇮1010))⪛(⊺⇮1406⋛⊺⇮4627≥⨤⩑(∤⊺⇮3185))","cot":[{"info":"⪁⇼⊺⇮1508=⊺⇮422","layer":3},{"info":"⫟⊺⇮422=⊺⇮-359","layer":2},{"info":"⊺⇮2126↺⊺⇮1816=⊺⇮1816","layer":3},{"info":"⪲⇎⊺⇮4166=⊺⇮8332","layer":3},{"info":"⊺⇮1816≬⋮⊺⇮8332=⊺⇮868","layer":2},{"info":"⊺⇮-359⊉≛↸⊺⇮868=⊺⇮-868","layer":1},{"info":"⨈⫕⊺⇮1010=⊺⇮-21","layer":3},{"info":"⨭⩧⫛⊺⇮-21=NaN","layer":2},{"info":"⊺⇮1406⋛⊺⇮4627=⊺⇮-119538","layer":3},{"info":"∤⊺⇮3185=⊺⇮9","layer":3},{"info":"⊺⇮-119538≥⨤⩑⊺⇮9=⊺⇮1234","layer":2},{"info":"NaN⪛⊺⇮1234=NaN","layer":1},{"info":"⊺⇮-868⫒⫫NaN=NaN","layer":0}]}
{"id":263,"expression_no_base_symbol":"((⪨⨬$2938$)⪊≅)⪝(($1193$⪣⫩)⪄$2070$⇴$1888$)≀⫉(↯⪼($3351$≓∲$2619$))⨑⩅≇(($4059$⊱⇼⊻$1764$)⨼⩣($7313$⊧↖))","expression":"((⪨⨬⊺⇮2938)⪊≅)⪝((⊺⇮1193⪣⫩)⪄⊺⇮2070⇴⊺⇮1888)≀⫉(↯⪼(⊺⇮3351≓∲⊺⇮2619))⨑⩅≇((⊺⇮4059⊱⇼⊻⊺⇮1764)⨼⩣(⊺⇮7313⊧↖))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8616,"operation_count":13,"complexity_ratio":662.7692307692307,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2938,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1193,"base":10}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2070,"base":10},"right_expr":{"type":"numeric_atoms","value":1888,"base":10}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3351,"base":10},"right_expr":{"type":"numeric_atoms","value":2619,"base":10}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4059,"base":10},"right_expr":{"type":"numeric_atoms","value":1764,"base":10}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":7313,"base":10}}}}},"used_operators":["oZj3VtZNQx","wicAB68Tmb","bjFbhXSADs","5obUd6DV38","SUmda5xLS4","iuk5sVOGFA","4JB6nKBMSY","h92wMvzauj","8jW3W4yZS5","s1XTVnmDOJ","JxwMv5le6e","FyVja0WsTP","EKiFHuOFxO"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","T2fj7uvVaJ","nlCqmYiOvY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"⊺⇮2822","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2938","layer":4},{"info":"compute unary expreesion, input=2938, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"number node, value=1193","layer":4},{"info":"compute unary expreesion, input=1193, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=3546","layer":3},{"info":"number node, value=2070","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=1888, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=15810","layer":3},{"info":"compute binary expreesion, left_input=3546, right_input=15810, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-584137","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-584137, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2336947","layer":1},{"info":"number node, value=3351","layer":4},{"info":"number node, value=2619","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=2619, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=34293","layer":3},{"info":"compute unary expreesion, input=34293, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=4059","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=4059, right_input=1764, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=7313","layer":4},{"info":"compute unary expreesion, input=7313, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=320920820","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=320920820, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":1},{"info":"compute binary expreesion, left_input=-2336947, right_input=935, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":10,"result_base":10,"text":"((⪨⨬⊺⇮2938)⪊≅)⪝((⊺⇮1193⪣⫩)⪄⊺⇮2070⇴⊺⇮1888)≀⫉(↯⪼(⊺⇮3351≓∲⊺⇮2619))⨑⩅≇((⊺⇮4059⊱⇼⊻⊺⇮1764)⨼⩣(⊺⇮7313⊧↖))=⊺⇮2822","reverse_text":"⊺⇮2822=((⪨⨬⊺⇮2938)⪊≅)⪝((⊺⇮1193⪣⫩)⪄⊺⇮2070⇴⊺⇮1888)≀⫉(↯⪼(⊺⇮3351≓∲⊺⇮2619))⨑⩅≇((⊺⇮4059⊱⇼⊻⊺⇮1764)⨼⩣(⊺⇮7313⊧↖))","cot":[{"info":"⪨⨬⊺⇮2938=⊺⇮-526","layer":3},{"info":"⊺⇮-526⪊≅=⊺⇮0","layer":2},{"info":"⊺⇮1193⪣⫩=⊺⇮3546","layer":3},{"info":"⊺⇮2070⇴⊺⇮1888=⊺⇮15810","layer":3},{"info":"⊺⇮3546⪄⊺⇮15810=⊺⇮-584137","layer":2},{"info":"⊺⇮0⪝⊺⇮-584137=⊺⇮-2336947","layer":1},{"info":"⊺⇮3351≓∲⊺⇮2619=⊺⇮34293","layer":3},{"info":"↯⪼⊺⇮34293=⊺⇮-21","layer":2},{"info":"⊺⇮4059⊱⇼⊻⊺⇮1764=⊺⇮434","layer":3},{"info":"⊺⇮7313⊧↖=⊺⇮320920820","layer":3},{"info":"⊺⇮434⨼⩣⊺⇮320920820=NaN","layer":2},{"info":"⊺⇮-21⨑⩅≇NaN=⊺⇮935","layer":1},{"info":"⊺⇮-2336947≀⫉⊺⇮935=⊺⇮2822","layer":0}]}
{"id":264,"expression_no_base_symbol":"(($2412$⨻⩈⩔$5405$∖$3471$⋓$1061$)⫔⩽⩺($1424$⊧↖)⫗⊷⫓(∂$1045$))⇍⊗($7552$∘$5880$∙⊟(⇘$1390$))∺≝⩲(⪨⨬(∓⪦$3339$))","expression":"((⊺⇮2412⨻⩈⩔⊺⇮5405∖⊺⇮3471⋓⊺⇮1061)⫔⩽⩺(⊺⇮1424⊧↖)⫗⊷⫓(∂⊺⇮1045))⇍⊗(⊺⇮7552∘⊺⇮5880∙⊟(⇘⊺⇮1390))∺≝⩲(⪨⨬(∓⪦⊺⇮3339))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":40851,"operation_count":14,"complexity_ratio":2917.9285714285716,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2412,"base":10},"right_expr":{"type":"numeric_atoms","value":5405,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3471,"base":10},"right_expr":{"type":"numeric_atoms","value":1061,"base":10}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1424,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1045,"base":10}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":7552,"base":10},"right_expr":{"type":"numeric_atoms","value":5880,"base":10}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1390,"base":10}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":3339,"base":10}}}}},"used_operators":["5uvYHDjeKN","i9eR4S00cU","tXD093vOjl","nEsXyWgiOK","T2fj7uvVaJ","zashukvMKz","EKiFHuOFxO","Uaa54Peajs","KPf6cnQVty","SxTAKzQCrw","Z5m6OM72h2","MGuIdZPyUC","5obUd6DV38","D309nIvmXG"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eH2TOUuTDT","rysDP5nf3Z","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","T2fj7uvVaJ","nlCqmYiOvY","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"⊺⇮-244","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2412","layer":4},{"info":"number node, value=5405","layer":4},{"info":"compute binary expreesion, left_input=2412, right_input=5405, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10895","layer":3},{"info":"number node, value=3471","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=1061, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10895, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1424","layer":4},{"info":"compute unary expreesion, input=1424, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=12172328","layer":3},{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12172328, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=7552","layer":4},{"info":"number node, value=5880","layer":4},{"info":"compute binary expreesion, left_input=7552, right_input=5880, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=15104","layer":3},{"info":"number node, value=1390","layer":4},{"info":"compute unary expreesion, input=1390, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=77782","layer":3},{"info":"compute binary expreesion, left_input=15104, right_input=77782, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=206198","layer":2},{"info":"number node, value=3339","layer":4},{"info":"compute unary expreesion, input=3339, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=2931","layer":3},{"info":"compute unary expreesion, input=2931, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=206198, right_input=-526, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2412⨻⩈⩔⊺⇮5405∖⊺⇮3471⋓⊺⇮1061)⫔⩽⩺(⊺⇮1424⊧↖)⫗⊷⫓(∂⊺⇮1045))⇍⊗(⊺⇮7552∘⊺⇮5880∙⊟(⇘⊺⇮1390))∺≝⩲(⪨⨬(∓⪦⊺⇮3339))=⊺⇮-244","reverse_text":"⊺⇮-244=((⊺⇮2412⨻⩈⩔⊺⇮5405∖⊺⇮3471⋓⊺⇮1061)⫔⩽⩺(⊺⇮1424⊧↖)⫗⊷⫓(∂⊺⇮1045))⇍⊗(⊺⇮7552∘⊺⇮5880∙⊟(⇘⊺⇮1390))∺≝⩲(⪨⨬(∓⪦⊺⇮3339))","cot":[{"info":"⊺⇮2412⨻⩈⩔⊺⇮5405=⊺⇮10895","layer":3},{"info":"⊺⇮3471⋓⊺⇮1061=⊺⇮0","layer":3},{"info":"⊺⇮10895∖⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1424⊧↖=⊺⇮12172328","layer":3},{"info":"∂⊺⇮1045=NaN","layer":3},{"info":"⊺⇮12172328⫗⊷⫓NaN=⊺⇮-134","layer":2},{"info":"⊺⇮0⫔⩽⩺⊺⇮-134=NaN","layer":1},{"info":"⊺⇮7552∘⊺⇮5880=⊺⇮15104","layer":3},{"info":"⇘⊺⇮1390=⊺⇮77782","layer":3},{"info":"⊺⇮15104∙⊟⊺⇮77782=⊺⇮206198","layer":2},{"info":"∓⪦⊺⇮3339=⊺⇮2931","layer":3},{"info":"⪨⨬⊺⇮2931=⊺⇮-526","layer":2},{"info":"⊺⇮206198∺≝⩲⊺⇮-526=⊺⇮160","layer":1},{"info":"NaN⇍⊗⊺⇮160=⊺⇮-244","layer":0}]}
{"id":265,"expression_no_base_symbol":"($6203$∓⋝$2282$⫏⊷)∣(⊬↢$9104$∓⋝$4345$)⪇≇⋚(⇜⊴($1290$⩢≌))⪔(⫶⊄≣($3007$⇪⋭))","expression":"(⊺⇮6203∓⋝⊺⇮2282⫏⊷)∣(⊬↢⊺⇮9104∓⋝⊺⇮4345)⪇≇⋚(⇜⊴(⊺⇮1290⩢≌))⪔(⫶⊄≣(⊺⇮3007⇪⋭))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":989,"operation_count":11,"complexity_ratio":89.9090909090909,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":6203,"base":10},"right_expr":{"type":"numeric_atoms","value":2282,"base":10}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":9104,"base":10},"right_expr":{"type":"numeric_atoms","value":4345,"base":10}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1290,"base":10}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":3007,"base":10}}}}},"used_operators":["3sJ7IOPOlU","PPChnnnBFF","dcShxvzhyw","PoHhknlbAi","WPoGxAaPR1","GjBEYRfMaF","XwDhCwWbUn","D617RFjZIq","wxb3vTeyAj","Z8Yg6dlDSp"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","hTbEZDJLEm","o20kRiQErp","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6203","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=6203, right_input=2282, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"number node, value=9104","layer":4},{"info":"number node, value=4345","layer":4},{"info":"compute binary expreesion, left_input=9104, right_input=4345, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-2852","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=-2852, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1304","layer":1},{"info":"number node, value=1290","layer":4},{"info":"compute unary expreesion, input=1290, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=1434","layer":2},{"info":"number node, value=3007","layer":4},{"info":"compute unary expreesion, input=3007, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1434, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1304, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6203∓⋝⊺⇮2282⫏⊷)∣(⊬↢⊺⇮9104∓⋝⊺⇮4345)⪇≇⋚(⇜⊴(⊺⇮1290⩢≌))⪔(⫶⊄≣(⊺⇮3007⇪⋭))=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮6203∓⋝⊺⇮2282⫏⊷)∣(⊬↢⊺⇮9104∓⋝⊺⇮4345)⪇≇⋚(⇜⊴(⊺⇮1290⩢≌))⪔(⫶⊄≣(⊺⇮3007⇪⋭))","cot":[{"info":"⊺⇮6203∓⋝⊺⇮2282=⊺⇮67","layer":3},{"info":"⊺⇮67⫏⊷=⊺⇮-820","layer":2},{"info":"⊺⇮9104∓⋝⊺⇮4345=⊺⇮67","layer":3},{"info":"⊬↢⊺⇮67=⊺⇮-2852","layer":2},{"info":"⊺⇮-820∣⊺⇮-2852=⊺⇮1304","layer":1},{"info":"⊺⇮1290⩢≌=⊺⇮113","layer":3},{"info":"⇜⊴⊺⇮113=⊺⇮1434","layer":2},{"info":"⊺⇮3007⇪⋭=NaN","layer":3},{"info":"⫶⊄≣NaN=NaN","layer":2},{"info":"⊺⇮1434⪔NaN=NaN","layer":1},{"info":"⊺⇮1304⪇≇⋚NaN=⊺⇮0","layer":0}]}
{"id":266,"expression_no_base_symbol":"(∨∊⋏(($5852$⊴⇁⪶)⋭≵$2843$⫰⋱$1434$))⫍⨯↯","expression":"(∨∊⋏((⊺⇮5852⊴⇁⪶)⋭≵⊺⇮2843⫰⋱⊺⇮1434))⫍⨯↯","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6167,"operation_count":5,"complexity_ratio":1233.4,"tree":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":5852,"base":10}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2843,"base":10},"right_expr":{"type":"numeric_atoms","value":1434,"base":10}}}}},"used_operators":["ZcwmYACASQ","R5aXW34M0v","jBncVCNhdl","oo9mF6JIpo","6o9Blt3TJ6"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5852","layer":4},{"info":"compute unary expreesion, input=5852, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=121066","layer":3},{"info":"number node, value=2843","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=1434, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2810","layer":3},{"info":"compute binary expreesion, left_input=121066, right_input=-2810, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-3849","layer":1},{"info":"compute unary expreesion, input=-3849, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":0}],"base":10,"result_base":10,"text":"(∨∊⋏((⊺⇮5852⊴⇁⪶)⋭≵⊺⇮2843⫰⋱⊺⇮1434))⫍⨯↯=⊺⇮-134","reverse_text":"⊺⇮-134=(∨∊⋏((⊺⇮5852⊴⇁⪶)⋭≵⊺⇮2843⫰⋱⊺⇮1434))⫍⨯↯","cot":[{"info":"⊺⇮5852⊴⇁⪶=⊺⇮121066","layer":3},{"info":"⊺⇮2843⫰⋱⊺⇮1434=⊺⇮-2810","layer":3},{"info":"⊺⇮121066⋭≵⊺⇮-2810=⊺⇮67","layer":2},{"info":"∨∊⋏⊺⇮67=⊺⇮-3849","layer":1},{"info":"⊺⇮-3849⫍⨯↯=⊺⇮-134","layer":0}]}
{"id":267,"expression_no_base_symbol":"($4796$∋$1112$∝$3862$≁$1023$)⋝⋈⪟($6356$⨫⇇↔$6993$∈)⩨(⊀$6542$)↼⊘⨖$5950$⪎↠$1978$⩷∴(↘($1667$⩧⪆$3004$))","expression":"(⊺⇮4796∋⊺⇮1112∝⊺⇮3862≁⊺⇮1023)⋝⋈⪟(⊺⇮6356⨫⇇↔⊺⇮6993∈)⩨(⊀⊺⇮6542)↼⊘⨖⊺⇮5950⪎↠⊺⇮1978⩷∴(↘(⊺⇮1667⩧⪆⊺⇮3004))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":274,"operation_count":13,"complexity_ratio":21.076923076923077,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4796,"base":10},"right_expr":{"type":"numeric_atoms","value":1112,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3862,"base":10},"right_expr":{"type":"numeric_atoms","value":1023,"base":10}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":6356,"base":10},"right_expr":{"type":"numeric_atoms","value":6993,"base":10}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":6542,"base":10}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5950,"base":10},"right_expr":{"type":"numeric_atoms","value":1978,"base":10}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1667,"base":10},"right_expr":{"type":"numeric_atoms","value":3004,"base":10}}}}},"used_operators":["2DlMacCsIx","2DDjHMKMc0","cTDWOvIxvz","ukq6epAj5P","8N2wDY1A35","ztP7wcbY7m","LXhwmt4mBO","9FxExcQeMw","bPywburJMS","oPMjh9089D","3tVxb0NHM4","LdNpr8hQHL","Ikt5ks8PT7"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","uFcxV4UQCh","eewbuw0ToL","t8gj7n24qd"],"result":"⊺⇮3","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4796","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=1112, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2499784","layer":3},{"info":"number node, value=3862","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=3862, right_input=1023, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=11351","layer":3},{"info":"compute binary expreesion, left_input=2499784, right_input=11351, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2499789","layer":2},{"info":"number node, value=6356","layer":4},{"info":"number node, value=6993","layer":4},{"info":"compute binary expreesion, left_input=6356, right_input=6993, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-2252","layer":2},{"info":"compute binary expreesion, left_input=2499789, right_input=-2252, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2499789","layer":1},{"info":"number node, value=6542","layer":4},{"info":"compute unary expreesion, input=6542, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=25906","layer":3},{"info":"number node, value=5950","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=5950, right_input=1978, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=25906, right_input=160, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=98","layer":2},{"info":"number node, value=1667","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=3004, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3004","layer":3},{"info":"compute unary expreesion, input=-3004, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=132","layer":2},{"info":"compute binary expreesion, left_input=98, right_input=132, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-100","layer":1},{"info":"compute binary expreesion, left_input=2499789, right_input=-100, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4796∋⊺⇮1112∝⊺⇮3862≁⊺⇮1023)⋝⋈⪟(⊺⇮6356⨫⇇↔⊺⇮6993∈)⩨(⊀⊺⇮6542)↼⊘⨖⊺⇮5950⪎↠⊺⇮1978⩷∴(↘(⊺⇮1667⩧⪆⊺⇮3004))=⊺⇮3","reverse_text":"⊺⇮3=(⊺⇮4796∋⊺⇮1112∝⊺⇮3862≁⊺⇮1023)⋝⋈⪟(⊺⇮6356⨫⇇↔⊺⇮6993∈)⩨(⊀⊺⇮6542)↼⊘⨖⊺⇮5950⪎↠⊺⇮1978⩷∴(↘(⊺⇮1667⩧⪆⊺⇮3004))","cot":[{"info":"⊺⇮4796∋⊺⇮1112=⊺⇮2499784","layer":3},{"info":"⊺⇮3862≁⊺⇮1023=⊺⇮11351","layer":3},{"info":"⊺⇮2499784∝⊺⇮11351=⊺⇮2499789","layer":2},{"info":"⊺⇮6356⨫⇇↔⊺⇮6993=⊺⇮-527","layer":3},{"info":"⊺⇮-527∈=⊺⇮-2252","layer":2},{"info":"⊺⇮2499789⋝⋈⪟⊺⇮-2252=⊺⇮2499789","layer":1},{"info":"⊀⊺⇮6542=⊺⇮25906","layer":3},{"info":"⊺⇮5950⪎↠⊺⇮1978=⊺⇮160","layer":3},{"info":"⊺⇮25906↼⊘⨖⊺⇮160=⊺⇮98","layer":2},{"info":"⊺⇮1667⩧⪆⊺⇮3004=⊺⇮-3004","layer":3},{"info":"↘⊺⇮-3004=⊺⇮132","layer":2},{"info":"⊺⇮98⩷∴⊺⇮132=⊺⇮-100","layer":1},{"info":"⊺⇮2499789⩨⊺⇮-100=⊺⇮3","layer":0}]}
{"id":268,"expression_no_base_symbol":"(⊢≑≆($2481$⨰$7193$⋓(⪲⇎$1959$)))⩺⪪(($5760$⫢⨠$6126$)≌($1773$⨸$1172$)⊭↱($7737$+$3409$)∼(⨆≐≲$1418$))","expression":"(⊢≑≆(⊺⇮2481⨰⊺⇮7193⋓(⪲⇎⊺⇮1959)))⩺⪪((⊺⇮5760⫢⨠⊺⇮6126)≌(⊺⇮1773⨸⊺⇮1172)⊭↱(⊺⇮7737+⊺⇮3409)∼(⨆≐≲⊺⇮1418))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6123,"operation_count":12,"complexity_ratio":510.25,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2481,"base":10},"right_expr":{"type":"numeric_atoms","value":7193,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1959,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5760,"base":10},"right_expr":{"type":"numeric_atoms","value":6126,"base":10}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1773,"base":10},"right_expr":{"type":"numeric_atoms","value":1172,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7737,"base":10},"right_expr":{"type":"numeric_atoms","value":3409,"base":10}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1418,"base":10}}}}},"used_operators":["uvdQJvN4PV","27wFxooxGf","T2fj7uvVaJ","eewbuw0ToL","XPYlsWDdGa","COABgblf1C","lyWz822IDG","xlXykHWxX1","KmoU8R5UQR","DyGG3AbaNP","W4YGzv6Whe","Bi9z9uYZqW"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2481","layer":4},{"info":"number node, value=7193","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=7193, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4702","layer":3},{"info":"number node, value=1959","layer":4},{"info":"compute unary expreesion, input=1959, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3918","layer":3},{"info":"compute binary expreesion, left_input=-4702, right_input=3918, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=193","layer":1},{"info":"number node, value=5760","layer":4},{"info":"number node, value=6126","layer":4},{"info":"compute binary expreesion, left_input=5760, right_input=6126, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1773","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=1172, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3546","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3546, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=7737","layer":4},{"info":"number node, value=3409","layer":4},{"info":"compute binary expreesion, left_input=7737, right_input=3409, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11146","layer":3},{"info":"number node, value=1418","layer":4},{"info":"compute unary expreesion, input=1418, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=15185112","layer":3},{"info":"compute binary expreesion, left_input=11146, right_input=15185112, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=193, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊢≑≆(⊺⇮2481⨰⊺⇮7193⋓(⪲⇎⊺⇮1959)))⩺⪪((⊺⇮5760⫢⨠⊺⇮6126)≌(⊺⇮1773⨸⊺⇮1172)⊭↱(⊺⇮7737+⊺⇮3409)∼(⨆≐≲⊺⇮1418))=NaN","reverse_text":"NaN=(⊢≑≆(⊺⇮2481⨰⊺⇮7193⋓(⪲⇎⊺⇮1959)))⩺⪪((⊺⇮5760⫢⨠⊺⇮6126)≌(⊺⇮1773⨸⊺⇮1172)⊭↱(⊺⇮7737+⊺⇮3409)∼(⨆≐≲⊺⇮1418))","cot":[{"info":"⊺⇮2481⨰⊺⇮7193=⊺⇮-4702","layer":3},{"info":"⪲⇎⊺⇮1959=⊺⇮3918","layer":3},{"info":"⊺⇮-4702⋓⊺⇮3918=⊺⇮0","layer":2},{"info":"⊢≑≆⊺⇮0=⊺⇮193","layer":1},{"info":"⊺⇮5760⫢⨠⊺⇮6126=⊺⇮160","layer":3},{"info":"⊺⇮1773⨸⊺⇮1172=⊺⇮3546","layer":3},{"info":"⊺⇮160≌⊺⇮3546=NaN","layer":2},{"info":"⊺⇮7737+⊺⇮3409=⊺⇮11146","layer":3},{"info":"⨆≐≲⊺⇮1418=⊺⇮15185112","layer":3},{"info":"⊺⇮11146∼⊺⇮15185112=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⊺⇮193⩺⪪NaN=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"((≪$1663$)*(⋠∜$2318$)*($3605$↠)⫰⋱$5983$⊹∫⫚$6663$)≒∊(≻⋜(($1661$∟)≴⪞⇿($1249$⨽∌$2478$)))","expression":"((≪⊺⇮1663)*(⋠∜⊺⇮2318)*(⊺⇮3605↠)⫰⋱⊺⇮5983⊹∫⫚⊺⇮6663)≒∊(≻⋜((⊺⇮1661∟)≴⪞⇿(⊺⇮1249⨽∌⊺⇮2478)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":197957,"operation_count":12,"complexity_ratio":16496.416666666668,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1663,"base":10}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2318,"base":10}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":3605,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5983,"base":10},"right_expr":{"type":"numeric_atoms","value":6663,"base":10}}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":1661,"base":10}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1249,"base":10},"right_expr":{"type":"numeric_atoms","value":2478,"base":10}}}}},"used_operators":["5KTvxBwnZo","9HNa5Wba9A","Qtd6bqUJcN","ZJpFhNJr3x","6o9Blt3TJ6","LBdsKIvxzf","uWAJUKEvyW","3tj9sqzovi","lvlrscuwVU","hTbEZDJLEm","9samAPKr6k"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1663","layer":4},{"info":"compute unary expreesion, input=1663, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=2318","layer":4},{"info":"compute unary expreesion, input=2318, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=11556","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=11556, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10550628","layer":2},{"info":"number node, value=3605","layer":4},{"info":"compute unary expreesion, input=3605, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=5983","layer":4},{"info":"number node, value=6663","layer":4},{"info":"compute binary expreesion, left_input=5983, right_input=6663, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-276","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-276, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=480","layer":2},{"info":"compute binary expreesion, left_input=10550628, right_input=480, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":1},{"info":"number node, value=1661","layer":4},{"info":"compute unary expreesion, input=1661, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=1249","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=2478, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=39251","layer":2},{"info":"compute unary expreesion, input=39251, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≪⊺⇮1663)*(⋠∜⊺⇮2318)*(⊺⇮3605↠)⫰⋱⊺⇮5983⊹∫⫚⊺⇮6663)≒∊(≻⋜((⊺⇮1661∟)≴⪞⇿(⊺⇮1249⨽∌⊺⇮2478)))=NaN","reverse_text":"NaN=((≪⊺⇮1663)*(⋠∜⊺⇮2318)*(⊺⇮3605↠)⫰⋱⊺⇮5983⊹∫⫚⊺⇮6663)≒∊(≻⋜((⊺⇮1661∟)≴⪞⇿(⊺⇮1249⨽∌⊺⇮2478)))","cot":[{"info":"≪⊺⇮1663=⊺⇮913","layer":3},{"info":"⋠∜⊺⇮2318=⊺⇮11556","layer":3},{"info":"⊺⇮913*⊺⇮11556=⊺⇮10550628","layer":2},{"info":"⊺⇮3605↠=⊺⇮-447","layer":3},{"info":"⊺⇮5983⊹∫⫚⊺⇮6663=⊺⇮-276","layer":3},{"info":"⊺⇮-447⫰⋱⊺⇮-276=⊺⇮480","layer":2},{"info":"⊺⇮10550628*⊺⇮480=Inf","layer":1},{"info":"⊺⇮1661∟=⊺⇮113","layer":3},{"info":"⊺⇮1249⨽∌⊺⇮2478=⊺⇮0","layer":3},{"info":"⊺⇮113≴⪞⇿⊺⇮0=⊺⇮39251","layer":2},{"info":"≻⋜⊺⇮39251=NaN","layer":1},{"info":"Inf≒∊NaN=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"($3910$≚⊃≕$1983$⪭≯($5674$⩹$3352$))∓⋝(≀↧⇸$5840$⊴$7150$)⋅⇍(≸≮(($2727$↙$1044$)∌($2030$≒∊$1423$)))","expression":"(⊺⇮3910≚⊃≕⊺⇮1983⪭≯(⊺⇮5674⩹⊺⇮3352))∓⋝(≀↧⇸⊺⇮5840⊴⊺⇮7150)⋅⇍(≸≮((⊺⇮2727↙⊺⇮1044)∌(⊺⇮2030≒∊⊺⇮1423)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8478,"operation_count":11,"complexity_ratio":770.7272727272727,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3910,"base":10},"right_expr":{"type":"numeric_atoms","value":1983,"base":10}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5674,"base":10},"right_expr":{"type":"numeric_atoms","value":3352,"base":10}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5840,"base":10},"right_expr":{"type":"numeric_atoms","value":7150,"base":10}}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2727,"base":10},"right_expr":{"type":"numeric_atoms","value":1044,"base":10}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2030,"base":10},"right_expr":{"type":"numeric_atoms","value":1423,"base":10}}}}},"used_operators":["AdZkA7nFnk","PoHhknlbAi","XAx5wpdLa6","Bmrmz2XGnR","2Wsdkap16l","ljTHtUsqzn","Nsiff2A1zJ","AljMvE3RRm","8cLx32lpNA","yyfyN0ffXY","5KTvxBwnZo"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","XPYlsWDdGa","23Mk6UjR3U","dWAJyo7jo9","14qkJME0vr","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⊺⇮-22","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3910","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=3910, right_input=1983, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=5674","layer":4},{"info":"number node, value=3352","layer":4},{"info":"compute binary expreesion, left_input=5674, right_input=3352, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=3350","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=3350, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=5840","layer":4},{"info":"number node, value=7150","layer":4},{"info":"compute binary expreesion, left_input=5840, right_input=7150, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=2727","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=1044, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3132","layer":3},{"info":"number node, value=2030","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=1423, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1546","layer":3},{"info":"compute binary expreesion, left_input=-3132, right_input=-1546, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3132","layer":2},{"info":"compute unary expreesion, input=-3132, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=47763","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=47763, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3910≚⊃≕⊺⇮1983⪭≯(⊺⇮5674⩹⊺⇮3352))∓⋝(≀↧⇸⊺⇮5840⊴⊺⇮7150)⋅⇍(≸≮((⊺⇮2727↙⊺⇮1044)∌(⊺⇮2030≒∊⊺⇮1423)))=⊺⇮-22","reverse_text":"⊺⇮-22=(⊺⇮3910≚⊃≕⊺⇮1983⪭≯(⊺⇮5674⩹⊺⇮3352))∓⋝(≀↧⇸⊺⇮5840⊴⊺⇮7150)⋅⇍(≸≮((⊺⇮2727↙⊺⇮1044)∌(⊺⇮2030≒∊⊺⇮1423)))","cot":[{"info":"⊺⇮3910≚⊃≕⊺⇮1983=⊺⇮67","layer":3},{"info":"⊺⇮5674⩹⊺⇮3352=⊺⇮3350","layer":3},{"info":"⊺⇮67⪭≯⊺⇮3350=NaN","layer":2},{"info":"⊺⇮5840⊴⊺⇮7150=NaN","layer":3},{"info":"≀↧⇸NaN=NaN","layer":2},{"info":"NaN∓⋝NaN=⊺⇮67","layer":1},{"info":"⊺⇮2727↙⊺⇮1044=⊺⇮-3132","layer":3},{"info":"⊺⇮2030≒∊⊺⇮1423=⊺⇮-1546","layer":3},{"info":"⊺⇮-3132∌⊺⇮-1546=⊺⇮-3132","layer":2},{"info":"≸≮⊺⇮-3132=⊺⇮47763","layer":1},{"info":"⊺⇮67⋅⇍⊺⇮47763=⊺⇮-22","layer":0}]}
{"id":271,"expression_no_base_symbol":"(((⨭⩧⫛$3168$)⫉⨲⊜($3742$∇⊂⋱$3706$))∥⊢⊲((⨣⨃⇪$7795$)⋭≵(⇖$2118$)))↳≱((≯($1021$⫌⩉⩟$1531$))⇣⩺⋵$2035$∊∟⩊$1387$∘($3022$⋅⇍$4387$))","expression":"(((⨭⩧⫛⊺⇮3168)⫉⨲⊜(⊺⇮3742∇⊂⋱⊺⇮3706))∥⊢⊲((⨣⨃⇪⊺⇮7795)⋭≵(⇖⊺⇮2118)))↳≱((≯(⊺⇮1021⫌⩉⩟⊺⇮1531))⇣⩺⋵⊺⇮2035∊∟⩊⊺⇮1387∘(⊺⇮3022⋅⇍⊺⇮4387))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8302,"operation_count":14,"complexity_ratio":593.0,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3168,"base":10}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3742,"base":10},"right_expr":{"type":"numeric_atoms","value":3706,"base":10}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":7795,"base":10}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2118,"base":10}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1021,"base":10},"right_expr":{"type":"numeric_atoms","value":1531,"base":10}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2035,"base":10},"right_expr":{"type":"numeric_atoms","value":1387,"base":10}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3022,"base":10},"right_expr":{"type":"numeric_atoms","value":4387,"base":10}}}}},"used_operators":["JwTKLfZU96","v1UQAVDJRr","WhqkvtTD3t","g21JL6JxX7","nhYeJWJD5X","jBncVCNhdl","AcOhelriW5","tfWHHpNKUN","F4yD0voBRQ","keWfFq85dY","XIIwhv8d0m","Z5m6OM72h2","ddLRYrp01A","AdZkA7nFnk"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","EBcxylXtPf","rGHVDoGpnC","eewbuw0ToL","zVYPLywUTj","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","2DQ55sFlQl","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","g55IO6H4Gj","JLbD19bQDL","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eH2TOUuTDT","rysDP5nf3Z","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3168","layer":4},{"info":"compute unary expreesion, input=3168, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=3742","layer":4},{"info":"number node, value=3706","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=3706, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6938","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6938, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"number node, value=7795","layer":4},{"info":"compute unary expreesion, input=7795, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=2118","layer":4},{"info":"compute unary expreesion, input=2118, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=67","layer":1},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1531, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=2035","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=2035, right_input=1387, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1387","layer":3},{"info":"number node, value=3022","layer":4},{"info":"number node, value=4387","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=4387, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=1387, right_input=-22, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-1007","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1007, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-260, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":10,"result_base":10,"text":"(((⨭⩧⫛⊺⇮3168)⫉⨲⊜(⊺⇮3742∇⊂⋱⊺⇮3706))∥⊢⊲((⨣⨃⇪⊺⇮7795)⋭≵(⇖⊺⇮2118)))↳≱((≯(⊺⇮1021⫌⩉⩟⊺⇮1531))⇣⩺⋵⊺⇮2035∊∟⩊⊺⇮1387∘(⊺⇮3022⋅⇍⊺⇮4387))=⊺⇮0","reverse_text":"⊺⇮0=(((⨭⩧⫛⊺⇮3168)⫉⨲⊜(⊺⇮3742∇⊂⋱⊺⇮3706))∥⊢⊲((⨣⨃⇪⊺⇮7795)⋭≵(⇖⊺⇮2118)))↳≱((≯(⊺⇮1021⫌⩉⩟⊺⇮1531))⇣⩺⋵⊺⇮2035∊∟⩊⊺⇮1387∘(⊺⇮3022⋅⇍⊺⇮4387))","cot":[{"info":"⨭⩧⫛⊺⇮3168=NaN","layer":3},{"info":"⊺⇮3742∇⊂⋱⊺⇮3706=⊺⇮6938","layer":3},{"info":"NaN⫉⨲⊜⊺⇮6938=NaN","layer":2},{"info":"⨣⨃⇪⊺⇮7795=⊺⇮1405","layer":3},{"info":"⇖⊺⇮2118=⊺⇮160","layer":3},{"info":"⊺⇮1405⋭≵⊺⇮160=⊺⇮67","layer":2},{"info":"NaN∥⊢⊲⊺⇮67=⊺⇮67","layer":1},{"info":"⊺⇮1021⫌⩉⩟⊺⇮1531=⊺⇮-50","layer":3},{"info":"≯⊺⇮-50=⊺⇮0","layer":2},{"info":"⊺⇮2035∊∟⩊⊺⇮1387=⊺⇮1387","layer":3},{"info":"⊺⇮3022⋅⇍⊺⇮4387=⊺⇮-22","layer":3},{"info":"⊺⇮1387∘⊺⇮-22=⊺⇮-1007","layer":2},{"info":"⊺⇮0⇣⩺⋵⊺⇮-1007=⊺⇮-260","layer":1},{"info":"⊺⇮67↳≱⊺⇮-260=⊺⇮0","layer":0}]}
{"id":272,"expression_no_base_symbol":"(⊬↢(($4825$⫌⩉⩟$4999$)⩼⇪↪($1178$⫩)))⇉⇉","expression":"(⊬↢((⊺⇮4825⫌⩉⩟⊺⇮4999)⩼⇪↪(⊺⇮1178⫩)))⇉⇉","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25961,"operation_count":5,"complexity_ratio":5192.2,"tree":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4825,"base":10},"right_expr":{"type":"numeric_atoms","value":4999,"base":10}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1178,"base":10}}}}},"used_operators":["diKm42VcIt","WPoGxAaPR1","ocnLzx9CaJ","XIIwhv8d0m","6aG7x05OhS"],"dependent_operators":["RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4825","layer":4},{"info":"number node, value=4999","layer":4},{"info":"compute binary expreesion, left_input=4825, right_input=4999, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊬↢((⊺⇮4825⫌⩉⩟⊺⇮4999)⩼⇪↪(⊺⇮1178⫩)))⇉⇉=NaN","reverse_text":"NaN=(⊬↢((⊺⇮4825⫌⩉⩟⊺⇮4999)⩼⇪↪(⊺⇮1178⫩)))⇉⇉","cot":[{"info":"⊺⇮4825⫌⩉⩟⊺⇮4999=⊺⇮-50","layer":3},{"info":"⊺⇮1178⫩=NaN","layer":3},{"info":"⊺⇮-50⩼⇪↪NaN=NaN","layer":2},{"info":"⊬↢NaN=NaN","layer":1},{"info":"NaN⇉⇉=NaN","layer":0}]}
{"id":273,"expression_no_base_symbol":"(($2164$⋐⇩⊬)∇⊂⋱($3166$-$3681$)⪕($1431$↸$2487$⩹$1274$∙∹∝$7443$))∼(($5143$⫌⩹⨱)≹⇙⪍$3122$⪔⊥$1527$)⫞⩸⩒(⪲⇎(↩$3387$))","expression":"((⊺⇮2164⋐⇩⊬)∇⊂⋱(⊺⇮3166-⊺⇮3681)⪕(⊺⇮1431↸⊺⇮2487⩹⊺⇮1274∙∹∝⊺⇮7443))∼((⊺⇮5143⫌⩹⨱)≹⇙⪍⊺⇮3122⪔⊥⊺⇮1527)⫞⩸⩒(⪲⇎(↩⊺⇮3387))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1695,"operation_count":14,"complexity_ratio":121.07142857142857,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":2164,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3166,"base":10},"right_expr":{"type":"numeric_atoms","value":3681,"base":10}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1431,"base":10},"right_expr":{"type":"numeric_atoms","value":2487,"base":10}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1274,"base":10},"right_expr":{"type":"numeric_atoms","value":7443,"base":10}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5143,"base":10}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3122,"base":10},"right_expr":{"type":"numeric_atoms","value":1527,"base":10}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3387,"base":10}}}}},"used_operators":["DyGG3AbaNP","umQnsF7QlU","nhYeJWJD5X","JuuLT1NoCs","rysDP5nf3Z","2Wsdkap16l","1eCjFl0mb9","HmxsFra2vL","XGcMNugi78","AHs5Up7iyr","EBcxylXtPf","HJ9erzHUuu","XPYlsWDdGa","jLgFTUHLKL"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2164","layer":4},{"info":"compute unary expreesion, input=2164, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2164","layer":3},{"info":"number node, value=3166","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=3681, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-515","layer":3},{"info":"compute binary expreesion, left_input=2164, right_input=-515, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3782","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=2487, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1431","layer":3},{"info":"number node, value=1274","layer":4},{"info":"number node, value=7443","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=7443, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1431, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=3782, right_input=-2, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=8467","layer":1},{"info":"number node, value=5143","layer":4},{"info":"compute unary expreesion, input=5143, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11687","layer":3},{"info":"number node, value=3122","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=3122, right_input=1527, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=9235","layer":3},{"info":"compute binary expreesion, left_input=11687, right_input=9235, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3387","layer":4},{"info":"compute unary expreesion, input=3387, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-24316","layer":3},{"info":"compute unary expreesion, input=-24316, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-48632","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-48632, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8467, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2164⋐⇩⊬)∇⊂⋱(⊺⇮3166-⊺⇮3681)⪕(⊺⇮1431↸⊺⇮2487⩹⊺⇮1274∙∹∝⊺⇮7443))∼((⊺⇮5143⫌⩹⨱)≹⇙⪍⊺⇮3122⪔⊥⊺⇮1527)⫞⩸⩒(⪲⇎(↩⊺⇮3387))=NaN","reverse_text":"NaN=((⊺⇮2164⋐⇩⊬)∇⊂⋱(⊺⇮3166-⊺⇮3681)⪕(⊺⇮1431↸⊺⇮2487⩹⊺⇮1274∙∹∝⊺⇮7443))∼((⊺⇮5143⫌⩹⨱)≹⇙⪍⊺⇮3122⪔⊥⊺⇮1527)⫞⩸⩒(⪲⇎(↩⊺⇮3387))","cot":[{"info":"⊺⇮2164⋐⇩⊬=⊺⇮2164","layer":3},{"info":"⊺⇮3166-⊺⇮3681=⊺⇮-515","layer":3},{"info":"⊺⇮2164∇⊂⋱⊺⇮-515=⊺⇮3782","layer":2},{"info":"⊺⇮1431↸⊺⇮2487=⊺⇮1431","layer":3},{"info":"⊺⇮1274∙∹∝⊺⇮7443=⊺⇮0","layer":3},{"info":"⊺⇮1431⩹⊺⇮0=⊺⇮-2","layer":2},{"info":"⊺⇮3782⪕⊺⇮-2=⊺⇮8467","layer":1},{"info":"⊺⇮5143⫌⩹⨱=⊺⇮11687","layer":3},{"info":"⊺⇮3122⪔⊥⊺⇮1527=⊺⇮9235","layer":3},{"info":"⊺⇮11687≹⇙⪍⊺⇮9235=NaN","layer":2},{"info":"↩⊺⇮3387=⊺⇮-24316","layer":3},{"info":"⪲⇎⊺⇮-24316=⊺⇮-48632","layer":2},{"info":"NaN⫞⩸⩒⊺⇮-48632=NaN","layer":1},{"info":"⊺⇮8467∼NaN=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"(↽≂($3295$⨻⩈⩔$2480$⪁($2376$⩭)))⊿∆","expression":"(↽≂(⊺⇮3295⨻⩈⩔⊺⇮2480⪁(⊺⇮2376⩭)))⊿∆","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":44783,"operation_count":5,"complexity_ratio":8956.6,"tree":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3295,"base":10},"right_expr":{"type":"numeric_atoms","value":2480,"base":10}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":2376,"base":10}}}}},"used_operators":["fv3ZujxkQL","u6S6b8DprG","I7sXao9hZE","nEsXyWgiOK","yIPP7u6H5x"],"dependent_operators":["NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3295","layer":4},{"info":"number node, value=2480","layer":4},{"info":"compute binary expreesion, left_input=3295, right_input=2480, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=17959","layer":3},{"info":"number node, value=2376","layer":4},{"info":"compute unary expreesion, input=2376, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17959, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↽≂(⊺⇮3295⨻⩈⩔⊺⇮2480⪁(⊺⇮2376⩭)))⊿∆=NaN","reverse_text":"NaN=(↽≂(⊺⇮3295⨻⩈⩔⊺⇮2480⪁(⊺⇮2376⩭)))⊿∆","cot":[{"info":"⊺⇮3295⨻⩈⩔⊺⇮2480=⊺⇮17959","layer":3},{"info":"⊺⇮2376⩭=NaN","layer":3},{"info":"⊺⇮17959⪁NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"NaN⊿∆=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"((∨∊⋏($8061$⪥$1332$))⊝)+(⊗(($5460$⊋≦⊧$6374$)⋝⋈⪟$2917$⊕∕$6785$))","expression":"((∨∊⋏(⊺⇮8061⪥⊺⇮1332))⊝)+(⊗((⊺⇮5460⊋≦⊧⊺⇮6374)⋝⋈⪟⊺⇮2917⊕∕⊺⇮6785))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":138,"operation_count":8,"complexity_ratio":17.25,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":8061,"base":10},"right_expr":{"type":"numeric_atoms","value":1332,"base":10}}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5460,"base":10},"right_expr":{"type":"numeric_atoms","value":6374,"base":10}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2917,"base":10},"right_expr":{"type":"numeric_atoms","value":6785,"base":10}}}}},"used_operators":["W4YGzv6Whe","O6EZ0fifGK","R5aXW34M0v","QbnwKVWMIQ","RhiyfpczSx","2DDjHMKMc0","oRDoc9rAEX","9cloC0Ngie"],"dependent_operators":["IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"⊺⇮895491","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8061","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=8061, right_input=1332, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=36896","layer":3},{"info":"compute unary expreesion, input=36896, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=872303","layer":2},{"info":"compute unary expreesion, input=872303, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=872303","layer":1},{"info":"number node, value=5460","layer":4},{"info":"number node, value=6374","layer":4},{"info":"compute binary expreesion, left_input=5460, right_input=6374, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-11594","layer":3},{"info":"number node, value=2917","layer":4},{"info":"number node, value=6785","layer":4},{"info":"compute binary expreesion, left_input=2917, right_input=6785, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2917","layer":3},{"info":"compute binary expreesion, left_input=-11594, right_input=2917, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-11594","layer":2},{"info":"compute unary expreesion, input=-11594, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=23188","layer":1},{"info":"compute binary expreesion, left_input=872303, right_input=23188, op_id = W4YGzv6Whe binary_op_definition= 'None', output=895491","layer":0}],"base":10,"result_base":10,"text":"((∨∊⋏(⊺⇮8061⪥⊺⇮1332))⊝)+(⊗((⊺⇮5460⊋≦⊧⊺⇮6374)⋝⋈⪟⊺⇮2917⊕∕⊺⇮6785))=⊺⇮895491","reverse_text":"⊺⇮895491=((∨∊⋏(⊺⇮8061⪥⊺⇮1332))⊝)+(⊗((⊺⇮5460⊋≦⊧⊺⇮6374)⋝⋈⪟⊺⇮2917⊕∕⊺⇮6785))","cot":[{"info":"⊺⇮8061⪥⊺⇮1332=⊺⇮36896","layer":3},{"info":"∨∊⋏⊺⇮36896=⊺⇮872303","layer":2},{"info":"⊺⇮872303⊝=⊺⇮872303","layer":1},{"info":"⊺⇮5460⊋≦⊧⊺⇮6374=⊺⇮-11594","layer":3},{"info":"⊺⇮2917⊕∕⊺⇮6785=⊺⇮2917","layer":3},{"info":"⊺⇮-11594⋝⋈⪟⊺⇮2917=⊺⇮-11594","layer":2},{"info":"⊗⊺⇮-11594=⊺⇮23188","layer":1},{"info":"⊺⇮872303+⊺⇮23188=⊺⇮895491","layer":0}]}
{"id":276,"expression_no_base_symbol":"(≀↧⇸$1447$)⨪↰⇹($2019$⪛⫼$4297$)*($3914$⪮%⊝$4237$)⩘($3334$⫸⊐$4694$)⫦⪉($3176$⫑%∭)⇣⩺⋵($2408$∲⫓$3598$)⨳⩥⨓$1141$⪢$2992$⪡($1435$⋅⇍$3696$)","expression":"(≀↧⇸⊺⇮1447)⨪↰⇹(⊺⇮2019⪛⫼⊺⇮4297)*(⊺⇮3914⪮%⊝⊺⇮4237)⩘(⊺⇮3334⫸⊐⊺⇮4694)⫦⪉(⊺⇮3176⫑%∭)⇣⩺⋵(⊺⇮2408∲⫓⊺⇮3598)⨳⩥⨓⊺⇮1141⪢⊺⇮2992⪡(⊺⇮1435⋅⇍⊺⇮3696)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7367,"operation_count":15,"complexity_ratio":491.1333333333333,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1447,"base":10}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2019,"base":10},"right_expr":{"type":"numeric_atoms","value":4297,"base":10}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3914,"base":10},"right_expr":{"type":"numeric_atoms","value":4237,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3334,"base":10},"right_expr":{"type":"numeric_atoms","value":4694,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":3176,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2408,"base":10},"right_expr":{"type":"numeric_atoms","value":3598,"base":10}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1141,"base":10},"right_expr":{"type":"numeric_atoms","value":2992,"base":10}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1435,"base":10},"right_expr":{"type":"numeric_atoms","value":3696,"base":10}}}}},"used_operators":["wscyQdcy20","9HNa5Wba9A","tmPS8pqC7x","ljTHtUsqzn","hyuBjUqXlG","cHh1gJQ2o6","IWmyXbctLI","mqXw5SEYmG","nCS4ZIUYfx","F4yD0voBRQ","xUx7qlDO4z","i8ToyICDmI","oraRL2iQuh","dWAJyo7jo9","AdZkA7nFnk"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","rJVOvQCfKK","XPYlsWDdGa","23Mk6UjR3U","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","k8jYdgA6NY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⊺⇮-921180","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1447","layer":4},{"info":"compute unary expreesion, input=1447, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2894","layer":3},{"info":"number node, value=2019","layer":4},{"info":"number node, value=4297","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=4297, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=2894, right_input=968, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2894","layer":2},{"info":"number node, value=3914","layer":4},{"info":"number node, value=4237","layer":4},{"info":"compute binary expreesion, left_input=3914, right_input=4237, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8144","layer":3},{"info":"number node, value=3334","layer":4},{"info":"number node, value=4694","layer":4},{"info":"compute binary expreesion, left_input=3334, right_input=4694, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18651","layer":3},{"info":"compute binary expreesion, left_input=8144, right_input=18651, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=2894, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=463040","layer":1},{"info":"number node, value=3176","layer":4},{"info":"compute unary expreesion, input=3176, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=2408","layer":4},{"info":"number node, value=3598","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=3598, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=1141","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=2992, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1435","layer":4},{"info":"number node, value=3696","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=3696, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=463040, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-921180","layer":0}],"base":10,"result_base":10,"text":"(≀↧⇸⊺⇮1447)⨪↰⇹(⊺⇮2019⪛⫼⊺⇮4297)*(⊺⇮3914⪮%⊝⊺⇮4237)⩘(⊺⇮3334⫸⊐⊺⇮4694)⫦⪉(⊺⇮3176⫑%∭)⇣⩺⋵(⊺⇮2408∲⫓⊺⇮3598)⨳⩥⨓⊺⇮1141⪢⊺⇮2992⪡(⊺⇮1435⋅⇍⊺⇮3696)=⊺⇮-921180","reverse_text":"⊺⇮-921180=(≀↧⇸⊺⇮1447)⨪↰⇹(⊺⇮2019⪛⫼⊺⇮4297)*(⊺⇮3914⪮%⊝⊺⇮4237)⩘(⊺⇮3334⫸⊐⊺⇮4694)⫦⪉(⊺⇮3176⫑%∭)⇣⩺⋵(⊺⇮2408∲⫓⊺⇮3598)⨳⩥⨓⊺⇮1141⪢⊺⇮2992⪡(⊺⇮1435⋅⇍⊺⇮3696)","cot":[{"info":"≀↧⇸⊺⇮1447=⊺⇮2894","layer":3},{"info":"⊺⇮2019⪛⫼⊺⇮4297=⊺⇮968","layer":3},{"info":"⊺⇮2894⨪↰⇹⊺⇮968=⊺⇮2894","layer":2},{"info":"⊺⇮3914⪮%⊝⊺⇮4237=⊺⇮8144","layer":3},{"info":"⊺⇮3334⫸⊐⊺⇮4694=⊺⇮18651","layer":3},{"info":"⊺⇮8144⩘⊺⇮18651=⊺⇮160","layer":2},{"info":"⊺⇮2894*⊺⇮160=⊺⇮463040","layer":1},{"info":"⊺⇮3176⫑%∭=NaN","layer":3},{"info":"⊺⇮2408∲⫓⊺⇮3598=⊺⇮0","layer":3},{"info":"NaN⇣⩺⋵⊺⇮0=⊺⇮-260","layer":2},{"info":"⊺⇮1141⪢⊺⇮2992=NaN","layer":3},{"info":"⊺⇮1435⋅⇍⊺⇮3696=⊺⇮-22","layer":3},{"info":"NaN⪡⊺⇮-22=NaN","layer":2},{"info":"⊺⇮-260⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮463040⫦⪉NaN=⊺⇮-921180","layer":0}]}
{"id":277,"expression_no_base_symbol":"(↥($5890$∝$3093$)∋($3930$⨰$1801$))⋅⇍(($5595$⨽$2215$)⋥⋵⩄($4446$⩹$4998$)⊘)","expression":"(↥(⊺⇮5890∝⊺⇮3093)∋(⊺⇮3930⨰⊺⇮1801))⋅⇍((⊺⇮5595⨽⊺⇮2215)⋥⋵⩄(⊺⇮4446⩹⊺⇮4998)⊘)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":97650,"operation_count":9,"complexity_ratio":10850.0,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5890,"base":10},"right_expr":{"type":"numeric_atoms","value":3093,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3930,"base":10},"right_expr":{"type":"numeric_atoms","value":1801,"base":10}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5595,"base":10},"right_expr":{"type":"numeric_atoms","value":2215,"base":10}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4446,"base":10},"right_expr":{"type":"numeric_atoms","value":4998,"base":10}}}}},"used_operators":["AdZkA7nFnk","A8NUZmVepG","ukq6epAj5P","cTDWOvIxvz","eewbuw0ToL","gu96TGCTMs","7t3wd0Fuz7","8HhzD0ZcuI","2Wsdkap16l"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","k8jYdgA6NY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"⊺⇮-22","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5890","layer":4},{"info":"number node, value=3093","layer":4},{"info":"compute binary expreesion, left_input=5890, right_input=3093, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5895","layer":3},{"info":"number node, value=3930","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=3930, right_input=1801, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2139","layer":3},{"info":"compute binary expreesion, left_input=5895, right_input=2139, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4684876","layer":2},{"info":"compute unary expreesion, input=4684876, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=16","layer":1},{"info":"number node, value=5595","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=5595, right_input=2215, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-93917406","layer":3},{"info":"number node, value=4446","layer":4},{"info":"number node, value=4998","layer":4},{"info":"compute binary expreesion, left_input=4446, right_input=4998, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=4996","layer":3},{"info":"compute binary expreesion, left_input=-93917406, right_input=4996, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=16, right_input=0, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":10,"result_base":10,"text":"(↥(⊺⇮5890∝⊺⇮3093)∋(⊺⇮3930⨰⊺⇮1801))⋅⇍((⊺⇮5595⨽⊺⇮2215)⋥⋵⩄(⊺⇮4446⩹⊺⇮4998)⊘)=⊺⇮-22","reverse_text":"⊺⇮-22=(↥(⊺⇮5890∝⊺⇮3093)∋(⊺⇮3930⨰⊺⇮1801))⋅⇍((⊺⇮5595⨽⊺⇮2215)⋥⋵⩄(⊺⇮4446⩹⊺⇮4998)⊘)","cot":[{"info":"⊺⇮5890∝⊺⇮3093=⊺⇮5895","layer":3},{"info":"⊺⇮3930⨰⊺⇮1801=⊺⇮2139","layer":3},{"info":"⊺⇮5895∋⊺⇮2139=⊺⇮4684876","layer":2},{"info":"↥⊺⇮4684876=⊺⇮16","layer":1},{"info":"⊺⇮5595⨽⊺⇮2215=⊺⇮-93917406","layer":3},{"info":"⊺⇮4446⩹⊺⇮4998=⊺⇮4996","layer":3},{"info":"⊺⇮-93917406⋥⋵⩄⊺⇮4996=⊺⇮113","layer":2},{"info":"⊺⇮113⊘=⊺⇮0","layer":1},{"info":"⊺⇮16⋅⇍⊺⇮0=⊺⇮-22","layer":0}]}
{"id":278,"expression_no_base_symbol":"($4004$⨿$2265$⩹(⨑⩽⪐$1147$))⋓(⪭⩑⪱$1512$≝⊿$2680$)⪛⫼($2016$⫡⨏$1258$)⇻⋧≁($4097$⇌⫙⪟$5107$)⫘(($2262$≳⇉$1152$)⩅⪻⪻)","expression":"(⊺⇮4004⨿⊺⇮2265⩹(⨑⩽⪐⊺⇮1147))⋓(⪭⩑⪱⊺⇮1512≝⊿⊺⇮2680)⪛⫼(⊺⇮2016⫡⨏⊺⇮1258)⇻⋧≁(⊺⇮4097⇌⫙⪟⊺⇮5107)⫘((⊺⇮2262≳⇉⊺⇮1152)⩅⪻⪻)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18785395,"operation_count":13,"complexity_ratio":1445030.3846153845,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4004,"base":10},"right_expr":{"type":"numeric_atoms","value":2265,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1147,"base":10}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1512,"base":10},"right_expr":{"type":"numeric_atoms","value":2680,"base":10}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2016,"base":10},"right_expr":{"type":"numeric_atoms","value":1258,"base":10}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4097,"base":10},"right_expr":{"type":"numeric_atoms","value":5107,"base":10}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2262,"base":10},"right_expr":{"type":"numeric_atoms","value":1152,"base":10}}}}},"used_operators":["hyuBjUqXlG","T2fj7uvVaJ","2Wsdkap16l","abYXlopdE0","AF7qkfDlqP","SIgE0bArFf","OKKcZfAt5B","48vC8HMD2b","jCPkEVoL5K","QMFrweE19q","AFVx7xoS7T","kHoXpA7yos","V0kx6qeWkN"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⊺⇮968","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4004","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=4004, right_input=2265, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1147","layer":4},{"info":"compute unary expreesion, input=1147, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-874","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-874, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-876","layer":2},{"info":"number node, value=1512","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=2680, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7405","layer":3},{"info":"compute unary expreesion, input=-7405, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-876, right_input=8320752, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=2016","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=1258, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13379","layer":3},{"info":"number node, value=4097","layer":4},{"info":"number node, value=5107","layer":4},{"info":"compute binary expreesion, left_input=4097, right_input=5107, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=13379, right_input=113, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=2262","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=1152, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=3979, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=530077","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=530077, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4004⨿⊺⇮2265⩹(⨑⩽⪐⊺⇮1147))⋓(⪭⩑⪱⊺⇮1512≝⊿⊺⇮2680)⪛⫼(⊺⇮2016⫡⨏⊺⇮1258)⇻⋧≁(⊺⇮4097⇌⫙⪟⊺⇮5107)⫘((⊺⇮2262≳⇉⊺⇮1152)⩅⪻⪻)=⊺⇮968","reverse_text":"⊺⇮968=(⊺⇮4004⨿⊺⇮2265⩹(⨑⩽⪐⊺⇮1147))⋓(⪭⩑⪱⊺⇮1512≝⊿⊺⇮2680)⪛⫼(⊺⇮2016⫡⨏⊺⇮1258)⇻⋧≁(⊺⇮4097⇌⫙⪟⊺⇮5107)⫘((⊺⇮2262≳⇉⊺⇮1152)⩅⪻⪻)","cot":[{"info":"⊺⇮4004⨿⊺⇮2265=⊺⇮-319","layer":3},{"info":"⨑⩽⪐⊺⇮1147=⊺⇮-874","layer":3},{"info":"⊺⇮-319⩹⊺⇮-874=⊺⇮-876","layer":2},{"info":"⊺⇮1512≝⊿⊺⇮2680=⊺⇮-7405","layer":3},{"info":"⪭⩑⪱⊺⇮-7405=⊺⇮8320752","layer":2},{"info":"⊺⇮-876⋓⊺⇮8320752=⊺⇮0","layer":1},{"info":"⊺⇮2016⫡⨏⊺⇮1258=⊺⇮13379","layer":3},{"info":"⊺⇮4097⇌⫙⪟⊺⇮5107=⊺⇮113","layer":3},{"info":"⊺⇮13379⇻⋧≁⊺⇮113=⊺⇮-447","layer":2},{"info":"⊺⇮2262≳⇉⊺⇮1152=NaN","layer":3},{"info":"NaN⩅⪻⪻=⊺⇮3979","layer":2},{"info":"⊺⇮-447⫘⊺⇮3979=⊺⇮530077","layer":1},{"info":"⊺⇮0⪛⫼⊺⇮530077=⊺⇮968","layer":0}]}
{"id":279,"expression_no_base_symbol":"(($7192$≭$1022$)∌↝($2341$⫍⨯↯)⩒⫫(⇾⩊⇾$2386$)∋($2148$∠↢$4793$))⨎⋸⪻","expression":"((⊺⇮7192≭⊺⇮1022)∌↝(⊺⇮2341⫍⨯↯)⩒⫫(⇾⩊⇾⊺⇮2386)∋(⊺⇮2148∠↢⊺⇮4793))⨎⋸⪻","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":197,"operation_count":8,"complexity_ratio":24.625,"tree":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7192,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":2341,"base":10}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2386,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2148,"base":10},"right_expr":{"type":"numeric_atoms","value":4793,"base":10}}}}},"used_operators":["Dk5vyLCiGd","KFSx94NKJn","9Isq31Ruls","rxpJgHHUmx","ZcwmYACASQ","ukq6epAj5P","bx9Z9DAK5y","KbjG8mgYpV"],"dependent_operators":["IWmyXbctLI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","AHs5Up7iyr","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7192","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=7192, right_input=1022, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2341","layer":4},{"info":"compute unary expreesion, input=2341, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=2308","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2308, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":2},{"info":"number node, value=2386","layer":4},{"info":"compute unary expreesion, input=2386, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-27960","layer":3},{"info":"number node, value=2148","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=4793, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-74612","layer":3},{"info":"compute binary expreesion, left_input=-27960, right_input=-74612, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=57216","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=57216, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7192≭⊺⇮1022)∌↝(⊺⇮2341⫍⨯↯)⩒⫫(⇾⩊⇾⊺⇮2386)∋(⊺⇮2148∠↢⊺⇮4793))⨎⋸⪻=NaN","reverse_text":"NaN=((⊺⇮7192≭⊺⇮1022)∌↝(⊺⇮2341⫍⨯↯)⩒⫫(⇾⩊⇾⊺⇮2386)∋(⊺⇮2148∠↢⊺⇮4793))⨎⋸⪻","cot":[{"info":"⊺⇮7192≭⊺⇮1022=NaN","layer":3},{"info":"⊺⇮2341⫍⨯↯=⊺⇮2308","layer":3},{"info":"NaN∌↝⊺⇮2308=NaN","layer":2},{"info":"⇾⩊⇾⊺⇮2386=⊺⇮-27960","layer":3},{"info":"⊺⇮2148∠↢⊺⇮4793=⊺⇮-74612","layer":3},{"info":"⊺⇮-27960∋⊺⇮-74612=⊺⇮57216","layer":2},{"info":"NaN⩒⫫⊺⇮57216=NaN","layer":1},{"info":"NaN⨎⋸⪻=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"⫇(⊗(⊄⩳↩($6097$≳⇉$5045$)))","expression":"⫇(⊗(⊄⩳↩(⊺⇮6097≳⇉⊺⇮5045)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":366230768,"operation_count":4,"complexity_ratio":91557692.0,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6097,"base":10},"right_expr":{"type":"numeric_atoms","value":5045,"base":10}}}}},"used_operators":["YjI8oCXuph","RhiyfpczSx","8w2t5hMYqp","V0kx6qeWkN"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=6097","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=6097, right_input=5045, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫇(⊗(⊄⩳↩(⊺⇮6097≳⇉⊺⇮5045)))=NaN","reverse_text":"NaN=⫇(⊗(⊄⩳↩(⊺⇮6097≳⇉⊺⇮5045)))","cot":[{"info":"⊺⇮6097≳⇉⊺⇮5045=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⊗NaN=NaN","layer":1},{"info":"⫇NaN=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"((($1043$⋷$4994$)∙⊟(≦∁$1796$))⋥≓≎($1302$≧⫂∧$2106$)⨑⩅≇($4416$⫒⫫$3410$))↳∿⪆(∨∊⋏($2153$⊕∕$1334$⫢⨠($1026$↬⩅∪)))","expression":"(((⊺⇮1043⋷⊺⇮4994)∙⊟(≦∁⊺⇮1796))⋥≓≎(⊺⇮1302≧⫂∧⊺⇮2106)⨑⩅≇(⊺⇮4416⫒⫫⊺⇮3410))↳∿⪆(∨∊⋏(⊺⇮2153⊕∕⊺⇮1334⫢⨠(⊺⇮1026↬⩅∪)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":14206,"operation_count":12,"complexity_ratio":1183.8333333333333,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1043,"base":10},"right_expr":{"type":"numeric_atoms","value":4994,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1796,"base":10}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1302,"base":10},"right_expr":{"type":"numeric_atoms","value":2106,"base":10}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4416,"base":10},"right_expr":{"type":"numeric_atoms","value":3410,"base":10}}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2153,"base":10},"right_expr":{"type":"numeric_atoms","value":1334,"base":10}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1026,"base":10}}}}},"used_operators":["Cw4SuJJGHO","Qy55tPpLXF","SxTAKzQCrw","23Mk6UjR3U","9ICcGScMcE","h92wMvzauj","Ph9nP6C5qx","6Ko8hGgeMq","R5aXW34M0v","xlXykHWxX1","9cloC0Ngie","VJ330n2nnx"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=4994","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=4994, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8945","layer":3},{"info":"number node, value=1796","layer":4},{"info":"compute unary expreesion, input=1796, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1796","layer":3},{"info":"compute binary expreesion, left_input=8945, right_input=1796, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=126131","layer":2},{"info":"number node, value=1302","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=2106, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1633","layer":3},{"info":"number node, value=4416","layer":4},{"info":"number node, value=3410","layer":4},{"info":"compute binary expreesion, left_input=4416, right_input=3410, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1633, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=126131, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=2153","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=1334, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2153","layer":3},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-3078","layer":3},{"info":"compute binary expreesion, left_input=2153, right_input=-3078, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=6130","layer":2},{"info":"compute unary expreesion, input=6130, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=133919","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=133919, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1043⋷⊺⇮4994)∙⊟(≦∁⊺⇮1796))⋥≓≎(⊺⇮1302≧⫂∧⊺⇮2106)⨑⩅≇(⊺⇮4416⫒⫫⊺⇮3410))↳∿⪆(∨∊⋏(⊺⇮2153⊕∕⊺⇮1334⫢⨠(⊺⇮1026↬⩅∪)))=NaN","reverse_text":"NaN=(((⊺⇮1043⋷⊺⇮4994)∙⊟(≦∁⊺⇮1796))⋥≓≎(⊺⇮1302≧⫂∧⊺⇮2106)⨑⩅≇(⊺⇮4416⫒⫫⊺⇮3410))↳∿⪆(∨∊⋏(⊺⇮2153⊕∕⊺⇮1334⫢⨠(⊺⇮1026↬⩅∪)))","cot":[{"info":"⊺⇮1043⋷⊺⇮4994=⊺⇮8945","layer":3},{"info":"≦∁⊺⇮1796=⊺⇮1796","layer":3},{"info":"⊺⇮8945∙⊟⊺⇮1796=⊺⇮126131","layer":2},{"info":"⊺⇮1302≧⫂∧⊺⇮2106=⊺⇮1633","layer":3},{"info":"⊺⇮4416⫒⫫⊺⇮3410=NaN","layer":3},{"info":"⊺⇮1633⨑⩅≇NaN=NaN","layer":2},{"info":"⊺⇮126131⋥≓≎NaN=NaN","layer":1},{"info":"⊺⇮2153⊕∕⊺⇮1334=⊺⇮2153","layer":3},{"info":"⊺⇮1026↬⩅∪=⊺⇮-3078","layer":3},{"info":"⊺⇮2153⫢⨠⊺⇮-3078=⊺⇮6130","layer":2},{"info":"∨∊⋏⊺⇮6130=⊺⇮133919","layer":1},{"info":"NaN↳∿⪆⊺⇮133919=NaN","layer":0}]}
{"id":282,"expression_no_base_symbol":"((≑⋹$1166$)⋥≓≎($3345$-$1029$)≓∲(($1586$⪐)⫦⪉$1643$⫒⫫$1107$))⇴∐($5323$⫔⩽⩺$2506$)⩖⊿(≀↧⇸$6189$)∊∟⩊(≉$5175$⨻⩈⩔$1023$)","expression":"((≑⋹⊺⇮1166)⋥≓≎(⊺⇮3345-⊺⇮1029)≓∲((⊺⇮1586⪐)⫦⪉⊺⇮1643⫒⫫⊺⇮1107))⇴∐(⊺⇮5323⫔⩽⩺⊺⇮2506)⩖⊿(≀↧⇸⊺⇮6189)∊∟⩊(≉⊺⇮5175⨻⩈⩔⊺⇮1023)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":377,"operation_count":14,"complexity_ratio":26.928571428571427,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1166,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3345,"base":10},"right_expr":{"type":"numeric_atoms","value":1029,"base":10}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1586,"base":10}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1643,"base":10},"right_expr":{"type":"numeric_atoms","value":1107,"base":10}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5323,"base":10},"right_expr":{"type":"numeric_atoms","value":2506,"base":10}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":6189,"base":10}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5175,"base":10},"right_expr":{"type":"numeric_atoms","value":1023,"base":10}}}}},"used_operators":["HnzytWxmAO","s1XTVnmDOJ","Qy55tPpLXF","6B9nyZLogK","rysDP5nf3Z","wscyQdcy20","eH2TOUuTDT","6Ko8hGgeMq","ddLRYrp01A","RZ5CV9rWsJ","i9eR4S00cU","ljTHtUsqzn","e1ybzncUwg","nEsXyWgiOK"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Tw270M8GLb","fu6greOZ01","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⊺⇮-116","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=3345","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=3345, right_input=1029, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2316","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=2316, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3015","layer":2},{"info":"number node, value=1586","layer":4},{"info":"compute unary expreesion, input=1586, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3172","layer":3},{"info":"number node, value=1643","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=1107, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3172, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1444","layer":2},{"info":"compute binary expreesion, left_input=3015, right_input=-1444, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-111512","layer":1},{"info":"number node, value=5323","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=5323, right_input=2506, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=6189","layer":4},{"info":"compute unary expreesion, input=6189, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=12378","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12378, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"number node, value=5175","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=5175, right_input=1023, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=32999","layer":3},{"info":"compute unary expreesion, input=32999, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=33530","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=33530, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=33530","layer":1},{"info":"compute binary expreesion, left_input=-111512, right_input=33530, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":0}],"base":10,"result_base":10,"text":"((≑⋹⊺⇮1166)⋥≓≎(⊺⇮3345-⊺⇮1029)≓∲((⊺⇮1586⪐)⫦⪉⊺⇮1643⫒⫫⊺⇮1107))⇴∐(⊺⇮5323⫔⩽⩺⊺⇮2506)⩖⊿(≀↧⇸⊺⇮6189)∊∟⩊(≉⊺⇮5175⨻⩈⩔⊺⇮1023)=⊺⇮-116","reverse_text":"⊺⇮-116=((≑⋹⊺⇮1166)⋥≓≎(⊺⇮3345-⊺⇮1029)≓∲((⊺⇮1586⪐)⫦⪉⊺⇮1643⫒⫫⊺⇮1107))⇴∐(⊺⇮5323⫔⩽⩺⊺⇮2506)⩖⊿(≀↧⇸⊺⇮6189)∊∟⩊(≉⊺⇮5175⨻⩈⩔⊺⇮1023)","cot":[{"info":"≑⋹⊺⇮1166=⊺⇮1650","layer":3},{"info":"⊺⇮3345-⊺⇮1029=⊺⇮2316","layer":3},{"info":"⊺⇮1650⋥≓≎⊺⇮2316=⊺⇮3015","layer":2},{"info":"⊺⇮1586⪐=⊺⇮3172","layer":3},{"info":"⊺⇮1643⫒⫫⊺⇮1107=NaN","layer":3},{"info":"⊺⇮3172⫦⪉NaN=⊺⇮-1444","layer":2},{"info":"⊺⇮3015≓∲⊺⇮-1444=⊺⇮-111512","layer":1},{"info":"⊺⇮5323⫔⩽⩺⊺⇮2506=NaN","layer":3},{"info":"≀↧⇸⊺⇮6189=⊺⇮12378","layer":3},{"info":"NaN⩖⊿⊺⇮12378=NaN","layer":2},{"info":"⊺⇮5175⨻⩈⩔⊺⇮1023=⊺⇮32999","layer":3},{"info":"≉⊺⇮32999=⊺⇮33530","layer":2},{"info":"NaN∊∟⩊⊺⇮33530=⊺⇮33530","layer":1},{"info":"⊺⇮-111512⇴∐⊺⇮33530=⊺⇮-116","layer":0}]}
{"id":283,"expression_no_base_symbol":"(⩷⨜⫀(($2257$∖$7366$)⨎$1420$⇷$6319$))⇂≾⫗(↨(⪝⪂⫅($1230$∵≐)))","expression":"(⩷⨜⫀((⊺⇮2257∖⊺⇮7366)⨎⊺⇮1420⇷⊺⇮6319))⇂≾⫗(↨(⪝⪂⫅(⊺⇮1230∵≐)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21030,"operation_count":8,"complexity_ratio":2628.75,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2257,"base":10},"right_expr":{"type":"numeric_atoms","value":7366,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1420,"base":10},"right_expr":{"type":"numeric_atoms","value":6319,"base":10}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":1230,"base":10}}}}},"used_operators":["aBQ6xLxuTc","CDi0ktkjQ4","rJVOvQCfKK","tXD093vOjl","mp7IySMOzn","jiX4gk2v2Q","XTarYq4gQB","59igzFyhWz"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","ruOEQAzv1W","nhYeJWJD5X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","oZj3VtZNQx","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2257","layer":4},{"info":"number node, value=7366","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=7366, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1420","layer":4},{"info":"number node, value=6319","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=6319, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12638","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12638, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=12638","layer":2},{"info":"compute unary expreesion, input=12638, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-12365","layer":1},{"info":"number node, value=1230","layer":4},{"info":"compute unary expreesion, input=1230, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=284","layer":3},{"info":"compute unary expreesion, input=284, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-41748","layer":2},{"info":"compute unary expreesion, input=-41748, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-12365, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩷⨜⫀((⊺⇮2257∖⊺⇮7366)⨎⊺⇮1420⇷⊺⇮6319))⇂≾⫗(↨(⪝⪂⫅(⊺⇮1230∵≐)))=NaN","reverse_text":"NaN=(⩷⨜⫀((⊺⇮2257∖⊺⇮7366)⨎⊺⇮1420⇷⊺⇮6319))⇂≾⫗(↨(⪝⪂⫅(⊺⇮1230∵≐)))","cot":[{"info":"⊺⇮2257∖⊺⇮7366=⊺⇮0","layer":3},{"info":"⊺⇮1420⇷⊺⇮6319=⊺⇮12638","layer":3},{"info":"⊺⇮0⨎⊺⇮12638=⊺⇮12638","layer":2},{"info":"⩷⨜⫀⊺⇮12638=⊺⇮-12365","layer":1},{"info":"⊺⇮1230∵≐=⊺⇮284","layer":3},{"info":"⪝⪂⫅⊺⇮284=⊺⇮-41748","layer":2},{"info":"↨⊺⇮-41748=NaN","layer":1},{"info":"⊺⇮-12365⇂≾⫗NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"($4018$∠⫱$2408$⩨$2266$+⇶⊼$3915$⪁($3423$⫔⩽⩺$1348$)⩣⫁∢($2110$⪨≂$2275$))↛⩡⫤","expression":"(⊺⇮4018∠⫱⊺⇮2408⩨⊺⇮2266+⇶⊼⊺⇮3915⪁(⊺⇮3423⫔⩽⩺⊺⇮1348)⩣⫁∢(⊺⇮2110⪨≂⊺⇮2275))↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":171,"operation_count":8,"complexity_ratio":21.375,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4018,"base":10},"right_expr":{"type":"numeric_atoms","value":2408,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2266,"base":10},"right_expr":{"type":"numeric_atoms","value":3915,"base":10}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3423,"base":10},"right_expr":{"type":"numeric_atoms","value":1348,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2110,"base":10},"right_expr":{"type":"numeric_atoms","value":2275,"base":10}}}}},"used_operators":["FU0Cs4j7VP","I7sXao9hZE","2DlMacCsIx","QvoQhV0rrE","TpPTUOHfaN","JDUIKTTSIa","i9eR4S00cU","sdazOOVcIp"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","AHs5Up7iyr","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4018","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=4018, right_input=2408, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=2266","layer":4},{"info":"number node, value=3915","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=3915, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3423","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=3423, right_input=1348, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=2110","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=2275, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-228","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-228, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4018∠⫱⊺⇮2408⩨⊺⇮2266+⇶⊼⊺⇮3915⪁(⊺⇮3423⫔⩽⩺⊺⇮1348)⩣⫁∢(⊺⇮2110⪨≂⊺⇮2275))↛⩡⫤=NaN","reverse_text":"NaN=(⊺⇮4018∠⫱⊺⇮2408⩨⊺⇮2266+⇶⊼⊺⇮3915⪁(⊺⇮3423⫔⩽⩺⊺⇮1348)⩣⫁∢(⊺⇮2110⪨≂⊺⇮2275))↛⩡⫤","cot":[{"info":"⊺⇮4018∠⫱⊺⇮2408=⊺⇮1234","layer":3},{"info":"⊺⇮2266+⇶⊼⊺⇮3915=NaN","layer":3},{"info":"⊺⇮1234⩨NaN=NaN","layer":2},{"info":"⊺⇮3423⫔⩽⩺⊺⇮1348=NaN","layer":3},{"info":"⊺⇮2110⪨≂⊺⇮2275=⊺⇮-228","layer":3},{"info":"NaN⩣⫁∢⊺⇮-228=NaN","layer":2},{"info":"NaN⪁NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":285,"expression_no_base_symbol":"⋗⩬⋾($2254$⇌⫙⪟$1038$⇴∐$6328$∺≝⩲$1011$≬⋮(($7131$⪒⊣⊆$2649$)↠))","expression":"⋗⩬⋾(⊺⇮2254⇌⫙⪟⊺⇮1038⇴∐⊺⇮6328∺≝⩲⊺⇮1011≬⋮((⊺⇮7131⪒⊣⊆⊺⇮2649)↠))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25674,"operation_count":7,"complexity_ratio":3667.714285714286,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2254,"base":10},"right_expr":{"type":"numeric_atoms","value":1038,"base":10}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6328,"base":10},"right_expr":{"type":"numeric_atoms","value":1011,"base":10}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":7131,"base":10},"right_expr":{"type":"numeric_atoms","value":2649,"base":10}}}}},"used_operators":["DpFCA1CohY","kbkesczE7y","HnzytWxmAO","AFVx7xoS7T","KPf6cnQVty","LBdsKIvxzf","eRqsBgTDFp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","sdazOOVcIp","W4YGzv6Whe"],"result":"⊺⇮-2604","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2254","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2254, right_input=1038, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=6328","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=6328, right_input=1011, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=160, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=7131","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=7131, right_input=2649, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=14262","layer":3},{"info":"compute unary expreesion, input=14262, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-447, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-2604","layer":0}],"base":10,"result_base":10,"text":"⋗⩬⋾(⊺⇮2254⇌⫙⪟⊺⇮1038⇴∐⊺⇮6328∺≝⩲⊺⇮1011≬⋮((⊺⇮7131⪒⊣⊆⊺⇮2649)↠))=⊺⇮-2604","reverse_text":"⊺⇮-2604=⋗⩬⋾(⊺⇮2254⇌⫙⪟⊺⇮1038⇴∐⊺⇮6328∺≝⩲⊺⇮1011≬⋮((⊺⇮7131⪒⊣⊆⊺⇮2649)↠))","cot":[{"info":"⊺⇮2254⇌⫙⪟⊺⇮1038=⊺⇮113","layer":3},{"info":"⊺⇮6328∺≝⩲⊺⇮1011=⊺⇮160","layer":3},{"info":"⊺⇮113⇴∐⊺⇮160=⊺⇮-116","layer":2},{"info":"⊺⇮7131⪒⊣⊆⊺⇮2649=⊺⇮14262","layer":3},{"info":"⊺⇮14262↠=⊺⇮-447","layer":2},{"info":"⊺⇮-116≬⋮⊺⇮-447=⊺⇮868","layer":1},{"info":"⋗⩬⋾⊺⇮868=⊺⇮-2604","layer":0}]}
{"id":286,"expression_no_base_symbol":"((≦∁$2583$∋$4898$)≳⇉(≸≮($1005$⨪↰⇹$5549$)))⇔⨋","expression":"((≦∁⊺⇮2583∋⊺⇮4898)≳⇉(≸≮(⊺⇮1005⨪↰⇹⊺⇮5549)))⇔⨋","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11118,"operation_count":6,"complexity_ratio":1853.0,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2583,"base":10},"right_expr":{"type":"numeric_atoms","value":4898,"base":10}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1005,"base":10},"right_expr":{"type":"numeric_atoms","value":5549,"base":10}}}}},"used_operators":["uBihLCJcMX","V0kx6qeWkN","9ICcGScMcE","ukq6epAj5P","AljMvE3RRm","tmPS8pqC7x"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2583","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=4898, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10229300","layer":3},{"info":"compute unary expreesion, input=10229300, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=10229300","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=5549","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5549, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1005","layer":3},{"info":"compute unary expreesion, input=1005, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10229300, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≦∁⊺⇮2583∋⊺⇮4898)≳⇉(≸≮(⊺⇮1005⨪↰⇹⊺⇮5549)))⇔⨋=NaN","reverse_text":"NaN=((≦∁⊺⇮2583∋⊺⇮4898)≳⇉(≸≮(⊺⇮1005⨪↰⇹⊺⇮5549)))⇔⨋","cot":[{"info":"⊺⇮2583∋⊺⇮4898=⊺⇮10229300","layer":3},{"info":"≦∁⊺⇮10229300=⊺⇮10229300","layer":2},{"info":"⊺⇮1005⨪↰⇹⊺⇮5549=⊺⇮1005","layer":3},{"info":"≸≮⊺⇮1005=NaN","layer":2},{"info":"⊺⇮10229300≳⇉NaN=NaN","layer":1},{"info":"NaN⇔⨋=NaN","layer":0}]}
{"id":287,"expression_no_base_symbol":"(→⩰((∥⊫$1820$)≑≱⪘))⩘(((-$1134$)-$7053$⨜⨶$1867$)⪇≇⋚(⇾⩊⇾$3886$↳≱$5266$))","expression":"(→⩰((∥⊫⊺⇮1820)≑≱⪘))⩘(((-⊺⇮1134)-⊺⇮7053⨜⨶⊺⇮1867)⪇≇⋚(⇾⩊⇾⊺⇮3886↳≱⊺⇮5266))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":66949,"operation_count":10,"complexity_ratio":6694.9,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1820,"base":10}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1134,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":7053,"base":10},"right_expr":{"type":"numeric_atoms","value":1867,"base":10}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3886,"base":10},"right_expr":{"type":"numeric_atoms","value":5266,"base":10}}}}},"used_operators":["cHh1gJQ2o6","o8Pngz0Tml","tGSeddj7UK","P8v4zCKN1o","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","HiPekx5b7W","bx9Z9DAK5y","JwTKLfZU96"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1820","layer":4},{"info":"compute unary expreesion, input=1820, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2688","layer":3},{"info":"compute unary expreesion, input=2688, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=66253","layer":2},{"info":"compute unary expreesion, input=66253, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=1134","layer":4},{"info":"compute unary expreesion, input=1134, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1134","layer":3},{"info":"number node, value=7053","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=7053, right_input=1867, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3478","layer":3},{"info":"compute binary expreesion, left_input=-1134, right_input=-3478, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2344","layer":2},{"info":"number node, value=3886","layer":4},{"info":"number node, value=5266","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=5266, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-6486","layer":2},{"info":"compute binary expreesion, left_input=2344, right_input=-6486, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":10,"result_base":10,"text":"(→⩰((∥⊫⊺⇮1820)≑≱⪘))⩘(((-⊺⇮1134)-⊺⇮7053⨜⨶⊺⇮1867)⪇≇⋚(⇾⩊⇾⊺⇮3886↳≱⊺⇮5266))=⊺⇮160","reverse_text":"⊺⇮160=(→⩰((∥⊫⊺⇮1820)≑≱⪘))⩘(((-⊺⇮1134)-⊺⇮7053⨜⨶⊺⇮1867)⪇≇⋚(⇾⩊⇾⊺⇮3886↳≱⊺⇮5266))","cot":[{"info":"∥⊫⊺⇮1820=⊺⇮2688","layer":3},{"info":"⊺⇮2688≑≱⪘=⊺⇮66253","layer":2},{"info":"→⩰⊺⇮66253=NaN","layer":1},{"info":"-⊺⇮1134=⊺⇮-1134","layer":3},{"info":"⊺⇮7053⨜⨶⊺⇮1867=⊺⇮-3478","layer":3},{"info":"⊺⇮-1134-⊺⇮-3478=⊺⇮2344","layer":2},{"info":"⊺⇮3886↳≱⊺⇮5266=⊺⇮0","layer":3},{"info":"⇾⩊⇾⊺⇮0=⊺⇮-6486","layer":2},{"info":"⊺⇮2344⪇≇⋚⊺⇮-6486=⊺⇮0","layer":1},{"info":"NaN⩘⊺⇮0=⊺⇮160","layer":0}]}
{"id":288,"expression_no_base_symbol":"(($7203$≬⋮$2349$)⪄$6948$⊉↱≁$1544$)⪃⊛⇣($3600$∼$1647$⫃⨇$2470$⪟⇏$6280$)⪟⇏(($2299$⪇≇⋚$1325$)⪃⊛⇣($3982$↼⊘⨖$1508$)≫≃)","expression":"((⊺⇮7203≬⋮⊺⇮2349)⪄⊺⇮6948⊉↱≁⊺⇮1544)⪃⊛⇣(⊺⇮3600∼⊺⇮1647⫃⨇⊺⇮2470⪟⇏⊺⇮6280)⪟⇏((⊺⇮2299⪇≇⋚⊺⇮1325)⪃⊛⇣(⊺⇮3982↼⊘⨖⊺⇮1508)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1438,"operation_count":12,"complexity_ratio":119.83333333333333,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":7203,"base":10},"right_expr":{"type":"numeric_atoms","value":2349,"base":10}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":6948,"base":10},"right_expr":{"type":"numeric_atoms","value":1544,"base":10}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3600,"base":10},"right_expr":{"type":"numeric_atoms","value":1647,"base":10}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2470,"base":10},"right_expr":{"type":"numeric_atoms","value":6280,"base":10}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2299,"base":10},"right_expr":{"type":"numeric_atoms","value":1325,"base":10}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3982,"base":10},"right_expr":{"type":"numeric_atoms","value":1508,"base":10}}}}},"used_operators":["GODebY97qR","rrgAzCduG9","SUmda5xLS4","kbkesczE7y","w2P8NbNXyL","09Ly4LVMIf","DyGG3AbaNP","X99M06cbEe","3sJ7IOPOlU","bPywburJMS"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⊺⇮-1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7203","layer":4},{"info":"number node, value=2349","layer":4},{"info":"compute binary expreesion, left_input=7203, right_input=2349, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=6948","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=6948, right_input=1544, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=60164","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=60164, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-365209","layer":2},{"info":"number node, value=3600","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=1647, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2470","layer":4},{"info":"number node, value=6280","layer":4},{"info":"compute binary expreesion, left_input=2470, right_input=6280, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-365209, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=2299","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=1325, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=3982","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=3982, right_input=1508, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2794","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2794, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3869","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=3869, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7203≬⋮⊺⇮2349)⪄⊺⇮6948⊉↱≁⊺⇮1544)⪃⊛⇣(⊺⇮3600∼⊺⇮1647⫃⨇⊺⇮2470⪟⇏⊺⇮6280)⪟⇏((⊺⇮2299⪇≇⋚⊺⇮1325)⪃⊛⇣(⊺⇮3982↼⊘⨖⊺⇮1508)≫≃)=⊺⇮-1","reverse_text":"⊺⇮-1=((⊺⇮7203≬⋮⊺⇮2349)⪄⊺⇮6948⊉↱≁⊺⇮1544)⪃⊛⇣(⊺⇮3600∼⊺⇮1647⫃⨇⊺⇮2470⪟⇏⊺⇮6280)⪟⇏((⊺⇮2299⪇≇⋚⊺⇮1325)⪃⊛⇣(⊺⇮3982↼⊘⨖⊺⇮1508)≫≃)","cot":[{"info":"⊺⇮7203≬⋮⊺⇮2349=⊺⇮868","layer":3},{"info":"⊺⇮6948⊉↱≁⊺⇮1544=⊺⇮60164","layer":3},{"info":"⊺⇮868⪄⊺⇮60164=⊺⇮-365209","layer":2},{"info":"⊺⇮3600∼⊺⇮1647=NaN","layer":3},{"info":"⊺⇮2470⪟⇏⊺⇮6280=⊺⇮-1","layer":3},{"info":"NaN⫃⨇⊺⇮-1=NaN","layer":2},{"info":"⊺⇮-365209⪃⊛⇣NaN=⊺⇮1234","layer":1},{"info":"⊺⇮2299⪇≇⋚⊺⇮1325=⊺⇮0","layer":3},{"info":"⊺⇮3982↼⊘⨖⊺⇮1508=⊺⇮2794","layer":3},{"info":"⊺⇮0⪃⊛⇣⊺⇮2794=⊺⇮1234","layer":2},{"info":"⊺⇮1234≫≃=⊺⇮3869","layer":1},{"info":"⊺⇮1234⪟⇏⊺⇮3869=⊺⇮-1","layer":0}]}
{"id":289,"expression_no_base_symbol":"⇘((↯⪼$2953$)⊋$2651$⫁⪎$2798$)⨽∌(($1866$⋭≵$6528$)⪭$1687$⊴$1796$)","expression":"⇘((↯⪼⊺⇮2953)⊋⊺⇮2651⫁⪎⊺⇮2798)⨽∌((⊺⇮1866⋭≵⊺⇮6528)⪭⊺⇮1687⊴⊺⇮1796)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2109,"operation_count":8,"complexity_ratio":263.625,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2953,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2651,"base":10},"right_expr":{"type":"numeric_atoms","value":2798,"base":10}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1866,"base":10},"right_expr":{"type":"numeric_atoms","value":6528,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1687,"base":10},"right_expr":{"type":"numeric_atoms","value":1796,"base":10}}}}},"used_operators":["MGuIdZPyUC","9samAPKr6k","W4tP9CfskL","8jW3W4yZS5","xRrnTEsQ6j","j9kHMeSvPp","jBncVCNhdl","Nsiff2A1zJ"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"⊺⇮-1835","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2953","layer":4},{"info":"compute unary expreesion, input=2953, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=2651","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=2651, right_input=2798, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-147","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-147, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-8394","layer":2},{"info":"number node, value=1866","layer":4},{"info":"number node, value=6528","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=6528, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1687","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=1796, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-241","layer":2},{"info":"compute binary expreesion, left_input=-8394, right_input=-241, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1835","layer":0}],"base":10,"result_base":10,"text":"⇘((↯⪼⊺⇮2953)⊋⊺⇮2651⫁⪎⊺⇮2798)⨽∌((⊺⇮1866⋭≵⊺⇮6528)⪭⊺⇮1687⊴⊺⇮1796)=⊺⇮-1835","reverse_text":"⊺⇮-1835=⇘((↯⪼⊺⇮2953)⊋⊺⇮2651⫁⪎⊺⇮2798)⨽∌((⊺⇮1866⋭≵⊺⇮6528)⪭⊺⇮1687⊴⊺⇮1796)","cot":[{"info":"↯⪼⊺⇮2953=⊺⇮-21","layer":3},{"info":"⊺⇮2651⫁⪎⊺⇮2798=⊺⇮-147","layer":3},{"info":"⊺⇮-21⊋⊺⇮-147=⊺⇮-8394","layer":2},{"info":"⊺⇮1866⋭≵⊺⇮6528=⊺⇮67","layer":3},{"info":"⊺⇮1687⊴⊺⇮1796=NaN","layer":3},{"info":"⊺⇮67⪭NaN=⊺⇮-241","layer":2},{"info":"⊺⇮-8394⨽∌⊺⇮-241=⊺⇮0","layer":1},{"info":"⇘⊺⇮0=⊺⇮-1835","layer":0}]}
{"id":290,"expression_no_base_symbol":"(($4151$⫁⪎$6740$)⇻⋧≁($1891$+⇶⊼$1536$)⪨⊡((⊬↢$1549$)⪨⊡$5413$↤⩊$2542$))⨌↪","expression":"((⊺⇮4151⫁⪎⊺⇮6740)⇻⋧≁(⊺⇮1891+⇶⊼⊺⇮1536)⪨⊡((⊬↢⊺⇮1549)⪨⊡⊺⇮5413↤⩊⊺⇮2542))⨌↪","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1850,"operation_count":8,"complexity_ratio":231.25,"tree":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4151,"base":10},"right_expr":{"type":"numeric_atoms","value":6740,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1891,"base":10},"right_expr":{"type":"numeric_atoms","value":1536,"base":10}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1549,"base":10}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5413,"base":10},"right_expr":{"type":"numeric_atoms","value":2542,"base":10}}}}},"used_operators":["cWQsF5MvuD","kuIXHzHcAH","jCPkEVoL5K","xRrnTEsQ6j","TpPTUOHfaN","WPoGxAaPR1","13rbtpv6ld"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","AHs5Up7iyr","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"⊺⇮-480","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4151","layer":4},{"info":"number node, value=6740","layer":4},{"info":"compute binary expreesion, left_input=4151, right_input=6740, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2589","layer":3},{"info":"number node, value=1891","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=1536, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2589, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"number node, value=1549","layer":4},{"info":"compute unary expreesion, input=1549, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=5413","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=5413, right_input=2542, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4151⫁⪎⊺⇮6740)⇻⋧≁(⊺⇮1891+⇶⊼⊺⇮1536)⪨⊡((⊬↢⊺⇮1549)⪨⊡⊺⇮5413↤⩊⊺⇮2542))⨌↪=⊺⇮-480","reverse_text":"⊺⇮-480=((⊺⇮4151⫁⪎⊺⇮6740)⇻⋧≁(⊺⇮1891+⇶⊼⊺⇮1536)⪨⊡((⊬↢⊺⇮1549)⪨⊡⊺⇮5413↤⩊⊺⇮2542))⨌↪","cot":[{"info":"⊺⇮4151⫁⪎⊺⇮6740=⊺⇮-2589","layer":3},{"info":"⊺⇮1891+⇶⊼⊺⇮1536=NaN","layer":3},{"info":"⊺⇮-2589⇻⋧≁NaN=NaN","layer":2},{"info":"⊬↢⊺⇮1549=⊺⇮218","layer":3},{"info":"⊺⇮5413↤⩊⊺⇮2542=NaN","layer":3},{"info":"⊺⇮218⪨⊡NaN=NaN","layer":2},{"info":"NaN⪨⊡NaN=NaN","layer":1},{"info":"NaN⨌↪=⊺⇮-480","layer":0}]}
{"id":291,"expression_no_base_symbol":"↓⇌(≀↧⇸($1057$∽$4031$∪⫐$1008$⩖⊿$2140$))","expression":"↓⇌(≀↧⇸(⊺⇮1057∽⊺⇮4031∪⫐⊺⇮1008⩖⊿⊺⇮2140))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":48,"operation_count":5,"complexity_ratio":9.6,"tree":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1057,"base":10},"right_expr":{"type":"numeric_atoms","value":4031,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1008,"base":10},"right_expr":{"type":"numeric_atoms","value":2140,"base":10}}}}},"used_operators":["PxpmPgHHJV","ljTHtUsqzn","7YooWSwCyH","y4ImoPnbV5","RZ5CV9rWsJ"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","XPYlsWDdGa","23Mk6UjR3U","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⊺⇮68800","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=4031, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17200","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=2140","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2140, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=13006","layer":3},{"info":"compute binary expreesion, left_input=-17200, right_input=13006, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-17200","layer":2},{"info":"compute unary expreesion, input=-17200, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=68800","layer":1},{"info":"compute unary expreesion, input=68800, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=68800","layer":0}],"base":10,"result_base":10,"text":"↓⇌(≀↧⇸(⊺⇮1057∽⊺⇮4031∪⫐⊺⇮1008⩖⊿⊺⇮2140))=⊺⇮68800","reverse_text":"⊺⇮68800=↓⇌(≀↧⇸(⊺⇮1057∽⊺⇮4031∪⫐⊺⇮1008⩖⊿⊺⇮2140))","cot":[{"info":"⊺⇮1057∽⊺⇮4031=⊺⇮-17200","layer":3},{"info":"⊺⇮1008⩖⊿⊺⇮2140=⊺⇮13006","layer":3},{"info":"⊺⇮-17200∪⫐⊺⇮13006=⊺⇮-17200","layer":2},{"info":"≀↧⇸⊺⇮-17200=⊺⇮68800","layer":1},{"info":"↓⇌⊺⇮68800=⊺⇮68800","layer":0}]}
{"id":292,"expression_no_base_symbol":"((∂($1840$⨸⪁$4674$))⪔⊥($2469$⪉⨛$5181$⊍⩺⋍$6583$⨓$1239$))⋕⪉⪜(($5397$⩣⫁∢$1395$≬⇓(⨰⫟⨤$4067$))⫉⨲⊜(($2927$∝$2655$)⇣⩺⋵($3699$⇀∌)))","expression":"((∂(⊺⇮1840⨸⪁⊺⇮4674))⪔⊥(⊺⇮2469⪉⨛⊺⇮5181⊍⩺⋍⊺⇮6583⨓⊺⇮1239))⋕⪉⪜((⊺⇮5397⩣⫁∢⊺⇮1395≬⇓(⨰⫟⨤⊺⇮4067))⫉⨲⊜((⊺⇮2927∝⊺⇮2655)⇣⩺⋵(⊺⇮3699⇀∌)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49237,"operation_count":14,"complexity_ratio":3516.9285714285716,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1840,"base":10},"right_expr":{"type":"numeric_atoms","value":4674,"base":10}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2469,"base":10},"right_expr":{"type":"numeric_atoms","value":5181,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6583,"base":10},"right_expr":{"type":"numeric_atoms","value":1239,"base":10}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5397,"base":10},"right_expr":{"type":"numeric_atoms","value":1395,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4067,"base":10}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2927,"base":10},"right_expr":{"type":"numeric_atoms","value":2655,"base":10}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":3699,"base":10}}}}},"used_operators":["z6LnFrNh4i","HJ9erzHUuu","Uaa54Peajs","g55IO6H4Gj","OXDGMFPWZM","EWw2JM7wp4","3ViojmjbAp","WhqkvtTD3t","jWTQ2TZYIH","JDUIKTTSIa","Tw270M8GLb","F4yD0voBRQ","cTDWOvIxvz","2k53nXOpI5"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","zVYPLywUTj","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","7j4O788W3g","W4YGzv6Whe","COABgblf1C","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4"],"result":"⊺⇮204","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1840","layer":4},{"info":"number node, value=4674","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=4674, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13028","layer":3},{"info":"compute unary expreesion, input=13028, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=2469","layer":4},{"info":"number node, value=5181","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=5181, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2441","layer":3},{"info":"number node, value=6583","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=6583, right_input=1239, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1242","layer":3},{"info":"compute binary expreesion, left_input=2441, right_input=-1242, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"number node, value=5397","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=5397, right_input=1395, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-10633","layer":3},{"info":"number node, value=4067","layer":4},{"info":"compute unary expreesion, input=4067, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10633, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=1131840740","layer":2},{"info":"number node, value=2927","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=2927, right_input=2655, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2932","layer":3},{"info":"number node, value=3699","layer":4},{"info":"compute unary expreesion, input=3699, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2932, right_input=113, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=1131840740, right_input=-260, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-370","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-370, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":10,"result_base":10,"text":"((∂(⊺⇮1840⨸⪁⊺⇮4674))⪔⊥(⊺⇮2469⪉⨛⊺⇮5181⊍⩺⋍⊺⇮6583⨓⊺⇮1239))⋕⪉⪜((⊺⇮5397⩣⫁∢⊺⇮1395≬⇓(⨰⫟⨤⊺⇮4067))⫉⨲⊜((⊺⇮2927∝⊺⇮2655)⇣⩺⋵(⊺⇮3699⇀∌)))=⊺⇮204","reverse_text":"⊺⇮204=((∂(⊺⇮1840⨸⪁⊺⇮4674))⪔⊥(⊺⇮2469⪉⨛⊺⇮5181⊍⩺⋍⊺⇮6583⨓⊺⇮1239))⋕⪉⪜((⊺⇮5397⩣⫁∢⊺⇮1395≬⇓(⨰⫟⨤⊺⇮4067))⫉⨲⊜((⊺⇮2927∝⊺⇮2655)⇣⩺⋵(⊺⇮3699⇀∌)))","cot":[{"info":"⊺⇮1840⨸⪁⊺⇮4674=⊺⇮13028","layer":3},{"info":"∂⊺⇮13028=NaN","layer":2},{"info":"⊺⇮2469⪉⨛⊺⇮5181=⊺⇮2441","layer":3},{"info":"⊺⇮6583⨓⊺⇮1239=⊺⇮-1242","layer":3},{"info":"⊺⇮2441⊍⩺⋍⊺⇮-1242=NaN","layer":2},{"info":"NaN⪔⊥NaN=NaN","layer":1},{"info":"⊺⇮5397⩣⫁∢⊺⇮1395=⊺⇮-10633","layer":3},{"info":"⨰⫟⨤⊺⇮4067=NaN","layer":3},{"info":"⊺⇮-10633≬⇓NaN=⊺⇮1131840740","layer":2},{"info":"⊺⇮2927∝⊺⇮2655=⊺⇮2932","layer":3},{"info":"⊺⇮3699⇀∌=⊺⇮113","layer":3},{"info":"⊺⇮2932⇣⩺⋵⊺⇮113=⊺⇮-260","layer":2},{"info":"⊺⇮1131840740⫉⨲⊜⊺⇮-260=⊺⇮-370","layer":1},{"info":"NaN⋕⪉⪜⊺⇮-370=⊺⇮204","layer":0}]}
{"id":293,"expression_no_base_symbol":"(($3289$⋛$3989$)↓⨍⋜)≎⪠($2567$⫸⊐$1315$⋻⩜⩜$1595$⇌⫙⪟$2596$)≁(⇤←(≯$1769$)⫞⩸⩒(∷≠$1195$))","expression":"((⊺⇮3289⋛⊺⇮3989)↓⨍⋜)≎⪠(⊺⇮2567⫸⊐⊺⇮1315⋻⩜⩜⊺⇮1595⇌⫙⪟⊺⇮2596)≁(⇤←(≯⊺⇮1769)⫞⩸⩒(∷≠⊺⇮1195))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21436,"operation_count":11,"complexity_ratio":1948.7272727272727,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3289,"base":10},"right_expr":{"type":"numeric_atoms","value":3989,"base":10}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2567,"base":10},"right_expr":{"type":"numeric_atoms","value":1315,"base":10}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1595,"base":10},"right_expr":{"type":"numeric_atoms","value":2596,"base":10}}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1769,"base":10}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1195,"base":10}}}}},"used_operators":["8N2wDY1A35","aNhz54LH3e","3DVzLFNsE9","YbUVn0Rbpy","oDCm7WA9JY","mqXw5SEYmG","AFVx7xoS7T","jfAgQ2OQeM","XGcMNugi78","keWfFq85dY","QiR2Oyf5Xj"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","g55IO6H4Gj","JLbD19bQDL","7j4O788W3g"],"result":"⊺⇮-139541","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3289","layer":4},{"info":"number node, value=3989","layer":4},{"info":"compute binary expreesion, left_input=3289, right_input=3989, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-102591","layer":3},{"info":"compute unary expreesion, input=-102591, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6453393","layer":2},{"info":"number node, value=2567","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=1315, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5135","layer":3},{"info":"number node, value=1595","layer":4},{"info":"number node, value=2596","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=2596, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=5135, right_input=113, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10270","layer":2},{"info":"compute binary expreesion, left_input=6453393, right_input=10270, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=1769","layer":4},{"info":"compute unary expreesion, input=1769, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1195","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1195, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1195","layer":2},{"info":"compute unary expreesion, input=1195, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-4609","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=-4609, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-139541","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3289⋛⊺⇮3989)↓⨍⋜)≎⪠(⊺⇮2567⫸⊐⊺⇮1315⋻⩜⩜⊺⇮1595⇌⫙⪟⊺⇮2596)≁(⇤←(≯⊺⇮1769)⫞⩸⩒(∷≠⊺⇮1195))=⊺⇮-139541","reverse_text":"⊺⇮-139541=((⊺⇮3289⋛⊺⇮3989)↓⨍⋜)≎⪠(⊺⇮2567⫸⊐⊺⇮1315⋻⩜⩜⊺⇮1595⇌⫙⪟⊺⇮2596)≁(⇤←(≯⊺⇮1769)⫞⩸⩒(∷≠⊺⇮1195))","cot":[{"info":"⊺⇮3289⋛⊺⇮3989=⊺⇮-102591","layer":3},{"info":"⊺⇮-102591↓⨍⋜=⊺⇮6453393","layer":2},{"info":"⊺⇮2567⫸⊐⊺⇮1315=⊺⇮5135","layer":3},{"info":"⊺⇮1595⇌⫙⪟⊺⇮2596=⊺⇮113","layer":3},{"info":"⊺⇮5135⋻⩜⩜⊺⇮113=⊺⇮10270","layer":2},{"info":"⊺⇮6453393≎⪠⊺⇮10270=⊺⇮19558","layer":1},{"info":"≯⊺⇮1769=⊺⇮0","layer":3},{"info":"∷≠⊺⇮1195=⊺⇮1195","layer":3},{"info":"⊺⇮0⫞⩸⩒⊺⇮1195=⊺⇮1195","layer":2},{"info":"⇤←⊺⇮1195=⊺⇮-4609","layer":1},{"info":"⊺⇮19558≁⊺⇮-4609=⊺⇮-139541","layer":0}]}
{"id":294,"expression_no_base_symbol":"(⇈($7094$⊲⩕⊾$2243$))⩍⋽⫝̸(($1196$⫑%∭)⫸⊐$4603$⪄$2365$)⪘⫢((⊀$2169$)⊭∹↮)⇍⊗($2268$⋛$1323$)⪥($2309$⫢⨠$1402$)","expression":"(⇈(⊺⇮7094⊲⩕⊾⊺⇮2243))⩍⋽⫝̸((⊺⇮1196⫑%∭)⫸⊐⊺⇮4603⪄⊺⇮2365)⪘⫢((⊀⊺⇮2169)⊭∹↮)⇍⊗(⊺⇮2268⋛⊺⇮1323)⪥(⊺⇮2309⫢⨠⊺⇮1402)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2931,"operation_count":13,"complexity_ratio":225.46153846153845,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":7094,"base":10},"right_expr":{"type":"numeric_atoms","value":2243,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1196,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4603,"base":10},"right_expr":{"type":"numeric_atoms","value":2365,"base":10}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2169,"base":10}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2268,"base":10},"right_expr":{"type":"numeric_atoms","value":1323,"base":10}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2309,"base":10},"right_expr":{"type":"numeric_atoms","value":1402,"base":10}}}}},"used_operators":["oacrs7FA3X","BiWNJpBvwn","SLLxy00UIr","DmTXOeWf9t","mqXw5SEYmG","xUx7qlDO4z","SUmda5xLS4","5uvYHDjeKN","xNBdhnnwKq","oPMjh9089D","QbnwKVWMIQ","YbUVn0Rbpy","xlXykHWxX1"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Ph9nP6C5qx","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7094","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=7094, right_input=2243, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-132564","layer":3},{"info":"compute unary expreesion, input=-132564, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=1196","layer":4},{"info":"compute unary expreesion, input=1196, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=4603","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=4603, right_input=2365, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-686793","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-686793, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"number node, value=2169","layer":4},{"info":"compute unary expreesion, input=2169, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8414","layer":3},{"info":"compute unary expreesion, input=8414, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=16828","layer":2},{"info":"number node, value=2268","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=2268, right_input=1323, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-111780","layer":3},{"info":"number node, value=2309","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=1402, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-111780, right_input=160, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-226","layer":2},{"info":"compute binary expreesion, left_input=16828, right_input=-226, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇈(⊺⇮7094⊲⩕⊾⊺⇮2243))⩍⋽⫝̸((⊺⇮1196⫑%∭)⫸⊐⊺⇮4603⪄⊺⇮2365)⪘⫢((⊀⊺⇮2169)⊭∹↮)⇍⊗(⊺⇮2268⋛⊺⇮1323)⪥(⊺⇮2309⫢⨠⊺⇮1402)=NaN","reverse_text":"NaN=(⇈(⊺⇮7094⊲⩕⊾⊺⇮2243))⩍⋽⫝̸((⊺⇮1196⫑%∭)⫸⊐⊺⇮4603⪄⊺⇮2365)⪘⫢((⊀⊺⇮2169)⊭∹↮)⇍⊗(⊺⇮2268⋛⊺⇮1323)⪥(⊺⇮2309⫢⨠⊺⇮1402)","cot":[{"info":"⊺⇮7094⊲⩕⊾⊺⇮2243=⊺⇮-132564","layer":3},{"info":"⇈⊺⇮-132564=⊺⇮-447","layer":2},{"info":"⊺⇮1196⫑%∭=NaN","layer":3},{"info":"⊺⇮4603⪄⊺⇮2365=⊺⇮-686793","layer":3},{"info":"NaN⫸⊐⊺⇮-686793=NaN","layer":2},{"info":"⊺⇮-447⩍⋽⫝̸NaN=NaN","layer":1},{"info":"⊀⊺⇮2169=⊺⇮8414","layer":3},{"info":"⊺⇮8414⊭∹↮=⊺⇮16828","layer":2},{"info":"⊺⇮2268⋛⊺⇮1323=⊺⇮-111780","layer":3},{"info":"⊺⇮2309⫢⨠⊺⇮1402=⊺⇮160","layer":3},{"info":"⊺⇮-111780⪥⊺⇮160=⊺⇮-226","layer":2},{"info":"⊺⇮16828⇍⊗⊺⇮-226=⊺⇮-244","layer":1},{"info":"NaN⪘⫢⊺⇮-244=NaN","layer":0}]}
{"id":295,"expression_no_base_symbol":"(($1769$⫰⋱$3389$)⩼⇪↪(∟⋨$3955$)≥⨤⩑($8883$⪄$2384$)⪡$4097$⇣⩺⋵$4381$)⩷∴((⇵⪽$2202$)⩦(⨈⫕$1148$)⩧⪆(($5090$⩘⨬⇊)⇮⋭($1103$⩭)))","expression":"((⊺⇮1769⫰⋱⊺⇮3389)⩼⇪↪(∟⋨⊺⇮3955)≥⨤⩑(⊺⇮8883⪄⊺⇮2384)⪡⊺⇮4097⇣⩺⋵⊺⇮4381)⩷∴((⇵⪽⊺⇮2202)⩦(⨈⫕⊺⇮1148)⩧⪆((⊺⇮5090⩘⨬⇊)⇮⋭(⊺⇮1103⩭)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40249,"operation_count":15,"complexity_ratio":2683.266666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1769,"base":10},"right_expr":{"type":"numeric_atoms","value":3389,"base":10}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":3955,"base":10}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8883,"base":10},"right_expr":{"type":"numeric_atoms","value":2384,"base":10}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4097,"base":10},"right_expr":{"type":"numeric_atoms","value":4381,"base":10}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2202,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1148,"base":10}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":5090,"base":10}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":1103,"base":10}}}}},"used_operators":["9FxExcQeMw","gJLn6v0xnP","ocnLzx9CaJ","6o9Blt3TJ6","ctOc4cKSDt","oraRL2iQuh","SUmda5xLS4","F4yD0voBRQ","Ikt5ks8PT7","0kmYd0q39Y","ZGCBLdVRRX","megm06wKyl","vkpjKywKVM","XXmTpEpWTW","yIPP7u6H5x"],"dependent_operators":["rysDP5nf3Z","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","tmPS8pqC7x","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eewbuw0ToL","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","U7g4x0WXJJ","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF"],"result":"⊺⇮2570","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1769","layer":4},{"info":"number node, value=3389","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=3389, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1736","layer":3},{"info":"number node, value=3955","layer":4},{"info":"compute unary expreesion, input=3955, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-3471","layer":3},{"info":"compute binary expreesion, left_input=-1736, right_input=-3471, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=20042","layer":2},{"info":"number node, value=8883","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=8883, right_input=2384, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1320309","layer":3},{"info":"number node, value=4097","layer":4},{"info":"number node, value=4381","layer":4},{"info":"compute binary expreesion, left_input=4097, right_input=4381, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-1320309, right_input=-260, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=2641586","layer":2},{"info":"compute binary expreesion, left_input=20042, right_input=2641586, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=2202","layer":4},{"info":"compute unary expreesion, input=2202, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1148","layer":4},{"info":"compute unary expreesion, input=1148, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=5090","layer":4},{"info":"compute unary expreesion, input=5090, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-67","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-67, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2570","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1769⫰⋱⊺⇮3389)⩼⇪↪(∟⋨⊺⇮3955)≥⨤⩑(⊺⇮8883⪄⊺⇮2384)⪡⊺⇮4097⇣⩺⋵⊺⇮4381)⩷∴((⇵⪽⊺⇮2202)⩦(⨈⫕⊺⇮1148)⩧⪆((⊺⇮5090⩘⨬⇊)⇮⋭(⊺⇮1103⩭)))=⊺⇮2570","reverse_text":"⊺⇮2570=((⊺⇮1769⫰⋱⊺⇮3389)⩼⇪↪(∟⋨⊺⇮3955)≥⨤⩑(⊺⇮8883⪄⊺⇮2384)⪡⊺⇮4097⇣⩺⋵⊺⇮4381)⩷∴((⇵⪽⊺⇮2202)⩦(⨈⫕⊺⇮1148)⩧⪆((⊺⇮5090⩘⨬⇊)⇮⋭(⊺⇮1103⩭)))","cot":[{"info":"⊺⇮1769⫰⋱⊺⇮3389=⊺⇮-1736","layer":3},{"info":"∟⋨⊺⇮3955=⊺⇮-3471","layer":3},{"info":"⊺⇮-1736⩼⇪↪⊺⇮-3471=⊺⇮20042","layer":2},{"info":"⊺⇮8883⪄⊺⇮2384=⊺⇮-1320309","layer":3},{"info":"⊺⇮4097⇣⩺⋵⊺⇮4381=⊺⇮-260","layer":3},{"info":"⊺⇮-1320309⪡⊺⇮-260=⊺⇮2641586","layer":2},{"info":"⊺⇮20042≥⨤⩑⊺⇮2641586=⊺⇮1234","layer":1},{"info":"⇵⪽⊺⇮2202=NaN","layer":3},{"info":"⨈⫕⊺⇮1148=⊺⇮-21","layer":3},{"info":"NaN⩦⊺⇮-21=NaN","layer":2},{"info":"⊺⇮5090⩘⨬⇊=NaN","layer":3},{"info":"⊺⇮1103⩭=NaN","layer":3},{"info":"NaN⇮⋭NaN=⊺⇮67","layer":2},{"info":"NaN⩧⪆⊺⇮67=⊺⇮-67","layer":1},{"info":"⊺⇮1234⩷∴⊺⇮-67=⊺⇮2570","layer":0}]}
{"id":296,"expression_no_base_symbol":"(((⋠∜$2424$)⩱)⩚⊴⇥(⋗⩬⋾$6104$)+⪬∐($1133$⫢⨠$4594$))⨔⇊((⋗⩬⋾(⊖∈$5879$))↑)","expression":"(((⋠∜⊺⇮2424)⩱)⩚⊴⇥(⋗⩬⋾⊺⇮6104)+⪬∐(⊺⇮1133⫢⨠⊺⇮4594))⨔⇊((⋗⩬⋾(⊖∈⊺⇮5879))↑)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":179,"operation_count":10,"complexity_ratio":17.9,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2424,"base":10}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6104,"base":10}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1133,"base":10},"right_expr":{"type":"numeric_atoms","value":4594,"base":10}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5879,"base":10}}}}},"used_operators":["JclMnS0uGI","NTOWxs364D","uyq1hVkAcj","ZJpFhNJr3x","2GS7woTJqF","DpFCA1CohY","xlXykHWxX1","BThhyOhh10","YFxL8Sc2Zy"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"⊺⇮222","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2424","layer":4},{"info":"compute unary expreesion, input=2424, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=11980","layer":3},{"info":"compute unary expreesion, input=11980, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-72130","layer":2},{"info":"number node, value=6104","layer":4},{"info":"compute unary expreesion, input=6104, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18312","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=4594","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=4594, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-18312, right_input=160, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=54936","layer":2},{"info":"compute binary expreesion, left_input=-72130, right_input=54936, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=17073","layer":1},{"info":"number node, value=5879","layer":4},{"info":"compute unary expreesion, input=5879, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=111986","layer":3},{"info":"compute unary expreesion, input=111986, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-335958","layer":2},{"info":"compute unary expreesion, input=-335958, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"compute binary expreesion, left_input=17073, right_input=222, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=222","layer":0}],"base":10,"result_base":10,"text":"(((⋠∜⊺⇮2424)⩱)⩚⊴⇥(⋗⩬⋾⊺⇮6104)+⪬∐(⊺⇮1133⫢⨠⊺⇮4594))⨔⇊((⋗⩬⋾(⊖∈⊺⇮5879))↑)=⊺⇮222","reverse_text":"⊺⇮222=(((⋠∜⊺⇮2424)⩱)⩚⊴⇥(⋗⩬⋾⊺⇮6104)+⪬∐(⊺⇮1133⫢⨠⊺⇮4594))⨔⇊((⋗⩬⋾(⊖∈⊺⇮5879))↑)","cot":[{"info":"⋠∜⊺⇮2424=⊺⇮11980","layer":3},{"info":"⊺⇮11980⩱=⊺⇮-72130","layer":2},{"info":"⋗⩬⋾⊺⇮6104=⊺⇮-18312","layer":3},{"info":"⊺⇮1133⫢⨠⊺⇮4594=⊺⇮160","layer":3},{"info":"⊺⇮-18312+⪬∐⊺⇮160=⊺⇮54936","layer":2},{"info":"⊺⇮-72130⩚⊴⇥⊺⇮54936=⊺⇮17073","layer":1},{"info":"⊖∈⊺⇮5879=⊺⇮111986","layer":3},{"info":"⋗⩬⋾⊺⇮111986=⊺⇮-335958","layer":2},{"info":"⊺⇮-335958↑=⊺⇮222","layer":1},{"info":"⊺⇮17073⨔⇊⊺⇮222=⊺⇮222","layer":0}]}
{"id":297,"expression_no_base_symbol":"(((↥$2117$)⫽⇹≛)⪷)⪔⊥((($2585$⫒⫫$1823$)⫠)∠↢($5965$⨽⪊≇)≎⪠($3897$⨰$4321$))","expression":"(((↥⊺⇮2117)⫽⇹≛)⪷)⪔⊥(((⊺⇮2585⫒⫫⊺⇮1823)⫠)∠↢(⊺⇮5965⨽⪊≇)≎⪠(⊺⇮3897⨰⊺⇮4321))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19515,"operation_count":10,"complexity_ratio":1951.5,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2117,"base":10}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2585,"base":10},"right_expr":{"type":"numeric_atoms","value":1823,"base":10}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":5965,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3897,"base":10},"right_expr":{"type":"numeric_atoms","value":4321,"base":10}}}}},"used_operators":["HJ9erzHUuu","Qctrpi3WzA","NNaDxxp6OQ","A8NUZmVepG","KbjG8mgYpV","6SnOT2rOjz","6Ko8hGgeMq","aNhz54LH3e","nlCqmYiOvY","eewbuw0ToL"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Nsiff2A1zJ","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","k8jYdgA6NY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2117","layer":4},{"info":"compute unary expreesion, input=2117, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=26","layer":3},{"info":"compute unary expreesion, input=26, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"compute unary expreesion, input=272, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"number node, value=2585","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=2585, right_input=1823, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"number node, value=5965","layer":4},{"info":"compute unary expreesion, input=5965, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=11404","layer":3},{"info":"number node, value=3897","layer":4},{"info":"number node, value=4321","layer":4},{"info":"compute binary expreesion, left_input=3897, right_input=4321, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-414","layer":3},{"info":"compute binary expreesion, left_input=11404, right_input=-414, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=19558, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-272730","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-272730, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((↥⊺⇮2117)⫽⇹≛)⪷)⪔⊥(((⊺⇮2585⫒⫫⊺⇮1823)⫠)∠↢(⊺⇮5965⨽⪊≇)≎⪠(⊺⇮3897⨰⊺⇮4321))=NaN","reverse_text":"NaN=(((↥⊺⇮2117)⫽⇹≛)⪷)⪔⊥(((⊺⇮2585⫒⫫⊺⇮1823)⫠)∠↢(⊺⇮5965⨽⪊≇)≎⪠(⊺⇮3897⨰⊺⇮4321))","cot":[{"info":"↥⊺⇮2117=⊺⇮26","layer":3},{"info":"⊺⇮26⫽⇹≛=⊺⇮272","layer":2},{"info":"⊺⇮272⪷=NaN","layer":1},{"info":"⊺⇮2585⫒⫫⊺⇮1823=NaN","layer":3},{"info":"NaN⫠=⊺⇮0","layer":2},{"info":"⊺⇮5965⨽⪊≇=⊺⇮11404","layer":3},{"info":"⊺⇮3897⨰⊺⇮4321=⊺⇮-414","layer":3},{"info":"⊺⇮11404≎⪠⊺⇮-414=⊺⇮19558","layer":2},{"info":"⊺⇮0∠↢⊺⇮19558=⊺⇮-272730","layer":1},{"info":"NaN⪔⊥⊺⇮-272730=NaN","layer":0}]}
{"id":298,"expression_no_base_symbol":"(($3673$⨪↰⇹$1274$)⪚(≦∁$2652$))⊮⊟↴(($1017$⊲⩕⊾$1538$)⨸($1277$↯⫤))⊚⫡⫭","expression":"((⊺⇮3673⨪↰⇹⊺⇮1274)⪚(≦∁⊺⇮2652))⊮⊟↴((⊺⇮1017⊲⩕⊾⊺⇮1538)⨸(⊺⇮1277↯⫤))⊚⫡⫭","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32194,"operation_count":8,"complexity_ratio":4024.25,"tree":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3673,"base":10},"right_expr":{"type":"numeric_atoms","value":1274,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2652,"base":10}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1017,"base":10},"right_expr":{"type":"numeric_atoms","value":1538,"base":10}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1277,"base":10}}}}},"used_operators":["SpZWOsLKZJ","QDVgd2eftb","HrjLwUk87U","tmPS8pqC7x","9ICcGScMcE","KmoU8R5UQR","DmTXOeWf9t","VwlE7vj6HS"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⊺⇮926","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3673","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=3673, right_input=1274, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3673","layer":3},{"info":"number node, value=2652","layer":4},{"info":"compute unary expreesion, input=2652, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2652","layer":3},{"info":"compute binary expreesion, left_input=3673, right_input=2652, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1686","layer":2},{"info":"number node, value=1017","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1538, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-28282","layer":3},{"info":"number node, value=1277","layer":4},{"info":"compute unary expreesion, input=1277, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-28282, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=604074","layer":2},{"info":"compute binary expreesion, left_input=1686, right_input=604074, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=926","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3673⨪↰⇹⊺⇮1274)⪚(≦∁⊺⇮2652))⊮⊟↴((⊺⇮1017⊲⩕⊾⊺⇮1538)⨸(⊺⇮1277↯⫤))⊚⫡⫭=⊺⇮926","reverse_text":"⊺⇮926=((⊺⇮3673⨪↰⇹⊺⇮1274)⪚(≦∁⊺⇮2652))⊮⊟↴((⊺⇮1017⊲⩕⊾⊺⇮1538)⨸(⊺⇮1277↯⫤))⊚⫡⫭","cot":[{"info":"⊺⇮3673⨪↰⇹⊺⇮1274=⊺⇮3673","layer":3},{"info":"≦∁⊺⇮2652=⊺⇮2652","layer":3},{"info":"⊺⇮3673⪚⊺⇮2652=⊺⇮1686","layer":2},{"info":"⊺⇮1017⊲⩕⊾⊺⇮1538=⊺⇮-28282","layer":3},{"info":"⊺⇮1277↯⫤=⊺⇮0","layer":3},{"info":"⊺⇮-28282⨸⊺⇮0=⊺⇮604074","layer":2},{"info":"⊺⇮1686⊮⊟↴⊺⇮604074=⊺⇮0","layer":1},{"info":"⊺⇮0⊚⫡⫭=⊺⇮926","layer":0}]}
{"id":299,"expression_no_base_symbol":"($1357$⩧⪆$1612$⪡(∟⋨$4048$))⫘($5172$⇴$3653$)↹⊜(≦∁$1020$)≠≀(($4330$⪇≇⋚$2608$)⨫⇇↔$7541$⪎↠$1291$)⪮%⊝($7677$⪪$5212$⨪↰⇹(⊲⪭$1144$))","expression":"(⊺⇮1357⩧⪆⊺⇮1612⪡(∟⋨⊺⇮4048))⫘(⊺⇮5172⇴⊺⇮3653)↹⊜(≦∁⊺⇮1020)≠≀((⊺⇮4330⪇≇⋚⊺⇮2608)⨫⇇↔⊺⇮7541⪎↠⊺⇮1291)⪮%⊝(⊺⇮7677⪪⊺⇮5212⨪↰⇹(⊲⪭⊺⇮1144))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31729,"operation_count":15,"complexity_ratio":2115.266666666667,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1357,"base":10},"right_expr":{"type":"numeric_atoms","value":1612,"base":10}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":4048,"base":10}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":5172,"base":10},"right_expr":{"type":"numeric_atoms","value":3653,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1020,"base":10}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4330,"base":10},"right_expr":{"type":"numeric_atoms","value":2608,"base":10}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":7541,"base":10},"right_expr":{"type":"numeric_atoms","value":1291,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":7677,"base":10},"right_expr":{"type":"numeric_atoms","value":5212,"base":10}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1144,"base":10}}}}},"used_operators":["IwW236VD4Y","48vC8HMD2b","oraRL2iQuh","Ikt5ks8PT7","ctOc4cKSDt","9bazX3JMtO","4JB6nKBMSY","9ICcGScMcE","IWmyXbctLI","LXhwmt4mBO","3sJ7IOPOlU","3tVxb0NHM4","tmPS8pqC7x","xD69zh8xqp","k7HXdKtiEU"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eewbuw0ToL","t8gj7n24qd","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","sdazOOVcIp","NTOWxs364D","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rJVOvQCfKK","FU0Cs4j7VP","JclMnS0uGI","i8ToyICDmI","xUOZtlo3hN"],"result":"⊺⇮-9868088","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1357","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=1612, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1612","layer":3},{"info":"number node, value=4048","layer":4},{"info":"compute unary expreesion, input=4048, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-3564","layer":3},{"info":"compute binary expreesion, left_input=-1612, right_input=-3564, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=4192","layer":2},{"info":"number node, value=5172","layer":4},{"info":"number node, value=3653","layer":4},{"info":"compute binary expreesion, left_input=5172, right_input=3653, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=37952","layer":3},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1020","layer":3},{"info":"compute binary expreesion, left_input=37952, right_input=1020, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=71728","layer":2},{"info":"compute binary expreesion, left_input=4192, right_input=71728, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4934197","layer":1},{"info":"number node, value=4330","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=4330, right_input=2608, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=7541","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=7541, right_input=1291, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=7677","layer":4},{"info":"number node, value=5212","layer":4},{"info":"compute binary expreesion, left_input=7677, right_input=5212, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1155316","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1318","layer":3},{"info":"compute binary expreesion, left_input=-1155316, right_input=-1318, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4934197, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-9868088","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1357⩧⪆⊺⇮1612⪡(∟⋨⊺⇮4048))⫘(⊺⇮5172⇴⊺⇮3653)↹⊜(≦∁⊺⇮1020)≠≀((⊺⇮4330⪇≇⋚⊺⇮2608)⨫⇇↔⊺⇮7541⪎↠⊺⇮1291)⪮%⊝(⊺⇮7677⪪⊺⇮5212⨪↰⇹(⊲⪭⊺⇮1144))=⊺⇮-9868088","reverse_text":"⊺⇮-9868088=(⊺⇮1357⩧⪆⊺⇮1612⪡(∟⋨⊺⇮4048))⫘(⊺⇮5172⇴⊺⇮3653)↹⊜(≦∁⊺⇮1020)≠≀((⊺⇮4330⪇≇⋚⊺⇮2608)⨫⇇↔⊺⇮7541⪎↠⊺⇮1291)⪮%⊝(⊺⇮7677⪪⊺⇮5212⨪↰⇹(⊲⪭⊺⇮1144))","cot":[{"info":"⊺⇮1357⩧⪆⊺⇮1612=⊺⇮-1612","layer":3},{"info":"∟⋨⊺⇮4048=⊺⇮-3564","layer":3},{"info":"⊺⇮-1612⪡⊺⇮-3564=⊺⇮4192","layer":2},{"info":"⊺⇮5172⇴⊺⇮3653=⊺⇮37952","layer":3},{"info":"≦∁⊺⇮1020=⊺⇮1020","layer":3},{"info":"⊺⇮37952↹⊜⊺⇮1020=⊺⇮71728","layer":2},{"info":"⊺⇮4192⫘⊺⇮71728=⊺⇮4934197","layer":1},{"info":"⊺⇮4330⪇≇⋚⊺⇮2608=⊺⇮0","layer":3},{"info":"⊺⇮7541⪎↠⊺⇮1291=⊺⇮160","layer":3},{"info":"⊺⇮0⨫⇇↔⊺⇮160=⊺⇮-527","layer":2},{"info":"⊺⇮7677⪪⊺⇮5212=⊺⇮-1155316","layer":3},{"info":"⊲⪭⊺⇮1144=⊺⇮-1318","layer":3},{"info":"⊺⇮-1155316⨪↰⇹⊺⇮-1318=NaN","layer":2},{"info":"⊺⇮-527⪮%⊝NaN=NaN","layer":1},{"info":"⊺⇮4934197≠≀NaN=⊺⇮-9868088","layer":0}]}
{"id":300,"expression_no_base_symbol":"((($2372$⩢≌)↰)∪⫐(($1070$∕⩚$1708$)≃⋄))⫸⊐(⪲⇎$1622$⊝⪿⪼$1963$)⋥⋵⩄($1736$⨼⩣$5487$⨱∎)","expression":"(((⊺⇮2372⩢≌)↰)∪⫐((⊺⇮1070∕⩚⊺⇮1708)≃⋄))⫸⊐(⪲⇎⊺⇮1622⊝⪿⪼⊺⇮1963)⋥⋵⩄(⊺⇮1736⨼⩣⊺⇮5487⨱∎)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1782,"operation_count":11,"complexity_ratio":162.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2372,"base":10}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1070,"base":10},"right_expr":{"type":"numeric_atoms","value":1708,"base":10}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1622,"base":10},"right_expr":{"type":"numeric_atoms","value":1963,"base":10}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1736,"base":10},"right_expr":{"type":"numeric_atoms","value":5487,"base":10}}}}},"used_operators":["mqXw5SEYmG","7YooWSwCyH","bl5wxAcryP","D617RFjZIq","aN9a90urxU","z9ffQ9n5Zr","7t3wd0Fuz7","XPYlsWDdGa","3Oe9XWJUTD","MmTdOpaElr","JxwMv5le6e"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","nCS4ZIUYfx","Z2TMIBDE3Q","hTbEZDJLEm","o20kRiQErp","uFcxV4UQCh","jLgFTUHLKL","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","tifHPKVTfV","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"⊺⇮24","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2372","layer":4},{"info":"compute unary expreesion, input=2372, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=12","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1708, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1073","layer":3},{"info":"compute unary expreesion, input=-1073, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=5904","layer":2},{"info":"compute binary expreesion, left_input=12, right_input=5904, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=12","layer":1},{"info":"number node, value=1622","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=1963, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=27004","layer":3},{"info":"compute unary expreesion, input=27004, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=54008","layer":2},{"info":"number node, value=1736","layer":4},{"info":"number node, value=5487","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=5487, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=54008, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2372⩢≌)↰)∪⫐((⊺⇮1070∕⩚⊺⇮1708)≃⋄))⫸⊐(⪲⇎⊺⇮1622⊝⪿⪼⊺⇮1963)⋥⋵⩄(⊺⇮1736⨼⩣⊺⇮5487⨱∎)=⊺⇮24","reverse_text":"⊺⇮24=(((⊺⇮2372⩢≌)↰)∪⫐((⊺⇮1070∕⩚⊺⇮1708)≃⋄))⫸⊐(⪲⇎⊺⇮1622⊝⪿⪼⊺⇮1963)⋥⋵⩄(⊺⇮1736⨼⩣⊺⇮5487⨱∎)","cot":[{"info":"⊺⇮2372⩢≌=⊺⇮113","layer":3},{"info":"⊺⇮113↰=⊺⇮12","layer":2},{"info":"⊺⇮1070∕⩚⊺⇮1708=⊺⇮-1073","layer":3},{"info":"⊺⇮-1073≃⋄=⊺⇮5904","layer":2},{"info":"⊺⇮12∪⫐⊺⇮5904=⊺⇮12","layer":1},{"info":"⊺⇮1622⊝⪿⪼⊺⇮1963=⊺⇮27004","layer":3},{"info":"⪲⇎⊺⇮27004=⊺⇮54008","layer":2},{"info":"⊺⇮1736⨼⩣⊺⇮5487=NaN","layer":3},{"info":"NaN⨱∎=NaN","layer":2},{"info":"⊺⇮54008⋥⋵⩄NaN=NaN","layer":1},{"info":"⊺⇮12⫸⊐NaN=⊺⇮24","layer":0}]}
{"id":301,"expression_no_base_symbol":"∤↝((($1199$⩹$2133$)⊚⫡⫭)≥⨤⩑(($3101$⇴∐$1208$)⨘⋶⪀))","expression":"∤↝(((⊺⇮1199⩹⊺⇮2133)⊚⫡⫭)≥⨤⩑((⊺⇮3101⇴∐⊺⇮1208)⨘⋶⪀))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":145,"operation_count":6,"complexity_ratio":24.166666666666668,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1199,"base":10},"right_expr":{"type":"numeric_atoms","value":2133,"base":10}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3101,"base":10},"right_expr":{"type":"numeric_atoms","value":1208,"base":10}}}}},"used_operators":["3UMq87Qwqg","gJLn6v0xnP","SpZWOsLKZJ","2Wsdkap16l","XVKwrhznBb","HnzytWxmAO"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=2133, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2131","layer":3},{"info":"compute unary expreesion, input=2131, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-3336","layer":2},{"info":"number node, value=3101","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=3101, right_input=1208, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3336, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"∤↝(((⊺⇮1199⩹⊺⇮2133)⊚⫡⫭)≥⨤⩑((⊺⇮3101⇴∐⊺⇮1208)⨘⋶⪀))=⊺⇮1234","reverse_text":"⊺⇮1234=∤↝(((⊺⇮1199⩹⊺⇮2133)⊚⫡⫭)≥⨤⩑((⊺⇮3101⇴∐⊺⇮1208)⨘⋶⪀))","cot":[{"info":"⊺⇮1199⩹⊺⇮2133=⊺⇮2131","layer":3},{"info":"⊺⇮2131⊚⫡⫭=⊺⇮-3336","layer":2},{"info":"⊺⇮3101⇴∐⊺⇮1208=NaN","layer":3},{"info":"NaN⨘⋶⪀=NaN","layer":2},{"info":"⊺⇮-3336≥⨤⩑NaN=⊺⇮1234","layer":1},{"info":"∤↝⊺⇮1234=⊺⇮1234","layer":0}]}
{"id":302,"expression_no_base_symbol":"(∮($1005$⊉↱≁$8702$))⊢($3154$⩷∴$3546$⊨$4240$⋹⋡⊁$1571$)∝(($5532$↱$1556$)⫰⋱$1195$⪃⊛⇣$2648$)⋣⋖(($5564$⪁$1272$)⊭∹↮)","expression":"(∮(⊺⇮1005⊉↱≁⊺⇮8702))⊢(⊺⇮3154⩷∴⊺⇮3546⊨⊺⇮4240⋹⋡⊁⊺⇮1571)∝((⊺⇮5532↱⊺⇮1556)⫰⋱⊺⇮1195⪃⊛⇣⊺⇮2648)⋣⋖((⊺⇮5564⪁⊺⇮1272)⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19134241,"operation_count":13,"complexity_ratio":1471864.6923076923,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1005,"base":10},"right_expr":{"type":"numeric_atoms","value":8702,"base":10}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3154,"base":10},"right_expr":{"type":"numeric_atoms","value":3546,"base":10}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4240,"base":10},"right_expr":{"type":"numeric_atoms","value":1571,"base":10}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5532,"base":10},"right_expr":{"type":"numeric_atoms","value":1556,"base":10}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1195,"base":10},"right_expr":{"type":"numeric_atoms","value":2648,"base":10}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5564,"base":10},"right_expr":{"type":"numeric_atoms","value":1272,"base":10}}}}},"used_operators":["cTDWOvIxvz","5twsqlHp2o","CqXKPLVYql","w2P8NbNXyL","vg4gO5BX6G","9FxExcQeMw","As8RqfVLgs","J0M6qkBnIM","6o9Blt3TJ6","SR5kFfdi6N","rrgAzCduG9","xNBdhnnwKq","I7sXao9hZE"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⊺⇮562585","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"number node, value=8702","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=8702, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-43276","layer":3},{"info":"compute unary expreesion, input=-43276, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-281412","layer":2},{"info":"number node, value=3154","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=3154, right_input=3546, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-816","layer":3},{"info":"number node, value=4240","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=4240, right_input=1571, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2321","layer":3},{"info":"compute binary expreesion, left_input=-816, right_input=2321, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-281412, right_input=-174, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=562580","layer":1},{"info":"number node, value=5532","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=5532, right_input=1556, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-4146","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=2648, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4146, right_input=1234, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=4179","layer":2},{"info":"number node, value=5564","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=5564, right_input=1272, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4179, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4179","layer":1},{"info":"compute binary expreesion, left_input=562580, right_input=4179, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=562585","layer":0}],"base":10,"result_base":10,"text":"(∮(⊺⇮1005⊉↱≁⊺⇮8702))⊢(⊺⇮3154⩷∴⊺⇮3546⊨⊺⇮4240⋹⋡⊁⊺⇮1571)∝((⊺⇮5532↱⊺⇮1556)⫰⋱⊺⇮1195⪃⊛⇣⊺⇮2648)⋣⋖((⊺⇮5564⪁⊺⇮1272)⊭∹↮)=⊺⇮562585","reverse_text":"⊺⇮562585=(∮(⊺⇮1005⊉↱≁⊺⇮8702))⊢(⊺⇮3154⩷∴⊺⇮3546⊨⊺⇮4240⋹⋡⊁⊺⇮1571)∝((⊺⇮5532↱⊺⇮1556)⫰⋱⊺⇮1195⪃⊛⇣⊺⇮2648)⋣⋖((⊺⇮5564⪁⊺⇮1272)⊭∹↮)","cot":[{"info":"⊺⇮1005⊉↱≁⊺⇮8702=⊺⇮-43276","layer":3},{"info":"∮⊺⇮-43276=⊺⇮-281412","layer":2},{"info":"⊺⇮3154⩷∴⊺⇮3546=⊺⇮-816","layer":3},{"info":"⊺⇮4240⋹⋡⊁⊺⇮1571=⊺⇮2321","layer":3},{"info":"⊺⇮-816⊨⊺⇮2321=⊺⇮-174","layer":2},{"info":"⊺⇮-281412⊢⊺⇮-174=⊺⇮562580","layer":1},{"info":"⊺⇮5532↱⊺⇮1556=⊺⇮-4146","layer":3},{"info":"⊺⇮1195⪃⊛⇣⊺⇮2648=⊺⇮1234","layer":3},{"info":"⊺⇮-4146⫰⋱⊺⇮1234=⊺⇮4179","layer":2},{"info":"⊺⇮5564⪁⊺⇮1272=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⊺⇮4179⋣⋖NaN=⊺⇮4179","layer":1},{"info":"⊺⇮562580∝⊺⇮4179=⊺⇮562585","layer":0}]}
{"id":303,"expression_no_base_symbol":"(⇜(⪹$1445$))⪘⫢(⊽($1261$⩷∴$1781$))↸((⩏⊷≩$1127$)+$2043$∊∟⩊$3235$)⩷∴(≦∁$2517$)⪟⇏($6246$⩖⊿$1669$)","expression":"(⇜(⪹⊺⇮1445))⪘⫢(⊽(⊺⇮1261⩷∴⊺⇮1781))↸((⩏⊷≩⊺⇮1127)+⊺⇮2043∊∟⩊⊺⇮3235)⩷∴(≦∁⊺⇮2517)⪟⇏(⊺⇮6246⩖⊿⊺⇮1669)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1558,"operation_count":13,"complexity_ratio":119.84615384615384,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1445,"base":10}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1261,"base":10},"right_expr":{"type":"numeric_atoms","value":1781,"base":10}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1127,"base":10}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2043,"base":10},"right_expr":{"type":"numeric_atoms","value":3235,"base":10}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2517,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":6246,"base":10},"right_expr":{"type":"numeric_atoms","value":1669,"base":10}}}}},"used_operators":["1eCjFl0mb9","oacrs7FA3X","lFBm8KRb8F","USyYr0JgAa","QxG7OkqoLX","9FxExcQeMw","W4YGzv6Whe","uOZ1tnYMDE","ddLRYrp01A","GODebY97qR","9ICcGScMcE","RZ5CV9rWsJ"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","tifHPKVTfV","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":4},{"info":"compute unary expreesion, input=1445, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1265","layer":3},{"info":"compute unary expreesion, input=-1265, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1781, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1072","layer":3},{"info":"compute unary expreesion, input=-1072, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1953","layer":3},{"info":"number node, value=2043","layer":4},{"info":"number node, value=3235","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=3235, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3235","layer":3},{"info":"compute binary expreesion, left_input=1953, right_input=3235, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5188","layer":2},{"info":"number node, value=2517","layer":4},{"info":"compute unary expreesion, input=2517, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2517","layer":3},{"info":"number node, value=6246","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=6246, right_input=1669, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-11714","layer":3},{"info":"compute binary expreesion, left_input=2517, right_input=-11714, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=5188, right_input=-1, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10346","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=10346, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⇜(⪹⊺⇮1445))⪘⫢(⊽(⊺⇮1261⩷∴⊺⇮1781))↸((⩏⊷≩⊺⇮1127)+⊺⇮2043∊∟⩊⊺⇮3235)⩷∴(≦∁⊺⇮2517)⪟⇏(⊺⇮6246⩖⊿⊺⇮1669)=⊺⇮0","reverse_text":"⊺⇮0=(⇜(⪹⊺⇮1445))⪘⫢(⊽(⊺⇮1261⩷∴⊺⇮1781))↸((⩏⊷≩⊺⇮1127)+⊺⇮2043∊∟⩊⊺⇮3235)⩷∴(≦∁⊺⇮2517)⪟⇏(⊺⇮6246⩖⊿⊺⇮1669)","cot":[{"info":"⪹⊺⇮1445=⊺⇮-1265","layer":3},{"info":"⇜⊺⇮-1265=⊺⇮232","layer":2},{"info":"⊺⇮1261⩷∴⊺⇮1781=⊺⇮-1072","layer":3},{"info":"⊽⊺⇮-1072=⊺⇮0","layer":2},{"info":"⊺⇮232⪘⫢⊺⇮0=⊺⇮0","layer":1},{"info":"⩏⊷≩⊺⇮1127=⊺⇮1953","layer":3},{"info":"⊺⇮2043∊∟⩊⊺⇮3235=⊺⇮3235","layer":3},{"info":"⊺⇮1953+⊺⇮3235=⊺⇮5188","layer":2},{"info":"≦∁⊺⇮2517=⊺⇮2517","layer":3},{"info":"⊺⇮6246⩖⊿⊺⇮1669=⊺⇮-11714","layer":3},{"info":"⊺⇮2517⪟⇏⊺⇮-11714=⊺⇮-1","layer":2},{"info":"⊺⇮5188⩷∴⊺⇮-1=⊺⇮10346","layer":1},{"info":"⊺⇮0↸⊺⇮10346=⊺⇮0","layer":0}]}
{"id":304,"expression_no_base_symbol":"(⨭⩧⫛((⊊≼∋$1003$)↬$5619$⨚⇆$4031$))⪟⇏($1228$⫸⇳$3033$/($1387$+$1441$))⋹⋡⊁(($6058$⋻⩜⩜$1480$)⨽(⪝⪂⫅$6723$))","expression":"(⨭⩧⫛((⊊≼∋⊺⇮1003)↬⊺⇮5619⨚⇆⊺⇮4031))⪟⇏(⊺⇮1228⫸⇳⊺⇮3033/(⊺⇮1387+⊺⇮1441))⋹⋡⊁((⊺⇮6058⋻⩜⩜⊺⇮1480)⨽(⪝⪂⫅⊺⇮6723))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":73476,"operation_count":12,"complexity_ratio":6123.0,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1003,"base":10}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5619,"base":10},"right_expr":{"type":"numeric_atoms","value":4031,"base":10}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1228,"base":10},"right_expr":{"type":"numeric_atoms","value":3033,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1387,"base":10},"right_expr":{"type":"numeric_atoms","value":1441,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6058,"base":10},"right_expr":{"type":"numeric_atoms","value":1480,"base":10}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6723,"base":10}}}}},"used_operators":["GODebY97qR","g21JL6JxX7","B5M0gjZbta","FWz7pXsQhA","lwHaAYXP2r","As8RqfVLgs","XhwjNDsVaA","gx7XJ7hdpj","W4YGzv6Whe","8HhzD0ZcuI","oDCm7WA9JY","XTarYq4gQB"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rGHVDoGpnC","B5M0gjZbta","jCPkEVoL5K","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9HNa5Wba9A","8w2t5hMYqp"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=5619","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=5619, right_input=4031, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"number node, value=1228","layer":4},{"info":"number node, value=3033","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=3033, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1387","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=1441, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2828","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2828, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=6058","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=6058, right_input=1480, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=12116","layer":3},{"info":"number node, value=6723","layer":4},{"info":"compute unary expreesion, input=6723, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-988281","layer":3},{"info":"compute binary expreesion, left_input=12116, right_input=-988281, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-437426211","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-437426211, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-262, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⨭⩧⫛((⊊≼∋⊺⇮1003)↬⊺⇮5619⨚⇆⊺⇮4031))⪟⇏(⊺⇮1228⫸⇳⊺⇮3033/(⊺⇮1387+⊺⇮1441))⋹⋡⊁((⊺⇮6058⋻⩜⩜⊺⇮1480)⨽(⪝⪂⫅⊺⇮6723))=⊺⇮0","reverse_text":"⊺⇮0=(⨭⩧⫛((⊊≼∋⊺⇮1003)↬⊺⇮5619⨚⇆⊺⇮4031))⪟⇏(⊺⇮1228⫸⇳⊺⇮3033/(⊺⇮1387+⊺⇮1441))⋹⋡⊁((⊺⇮6058⋻⩜⩜⊺⇮1480)⨽(⪝⪂⫅⊺⇮6723))","cot":[{"info":"⊊≼∋⊺⇮1003=⊺⇮-447","layer":3},{"info":"⊺⇮5619⨚⇆⊺⇮4031=NaN","layer":3},{"info":"⊺⇮-447↬NaN=NaN","layer":2},{"info":"⨭⩧⫛NaN=NaN","layer":1},{"info":"⊺⇮1228⫸⇳⊺⇮3033=⊺⇮0","layer":3},{"info":"⊺⇮1387+⊺⇮1441=⊺⇮2828","layer":3},{"info":"⊺⇮0/⊺⇮2828=⊺⇮0","layer":2},{"info":"⊺⇮6058⋻⩜⩜⊺⇮1480=⊺⇮12116","layer":3},{"info":"⪝⪂⫅⊺⇮6723=⊺⇮-988281","layer":3},{"info":"⊺⇮12116⨽⊺⇮-988281=⊺⇮-437426211","layer":2},{"info":"⊺⇮0⋹⋡⊁⊺⇮-437426211=⊺⇮-262","layer":1},{"info":"NaN⪟⇏⊺⇮-262=⊺⇮0","layer":0}]}
{"id":305,"expression_no_base_symbol":"(⋗⩬⋾$1394$⪟⇏$4217$∌↝(⇘$4988$))⫯⪬∳((⋣($3236$⋐⇩⊬))⋾⨃∁(⇺⋃$1904$)≹⇙⪍($2674$⫔⩽⩺$4626$))","expression":"(⋗⩬⋾⊺⇮1394⪟⇏⊺⇮4217∌↝(⇘⊺⇮4988))⫯⪬∳((⋣(⊺⇮3236⋐⇩⊬))⋾⨃∁(⇺⋃⊺⇮1904)≹⇙⪍(⊺⇮2674⫔⩽⩺⊺⇮4626))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10367,"operation_count":11,"complexity_ratio":942.4545454545455,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1394,"base":10},"right_expr":{"type":"numeric_atoms","value":4217,"base":10}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":4988,"base":10}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":3236,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1904,"base":10}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2674,"base":10},"right_expr":{"type":"numeric_atoms","value":4626,"base":10}}}}},"used_operators":["d7ASUq0ydm","DpFCA1CohY","9Isq31Ruls","GODebY97qR","MGuIdZPyUC","212REbPD9h","zQWRhDnn8F","JuuLT1NoCs","AHs5Up7iyr","E5v5B3UAjG","i9eR4S00cU"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","dWAJyo7jo9","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Tw270M8GLb","fu6greOZ01"],"result":"⊺⇮13214663","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1394","layer":4},{"info":"number node, value=4217","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=4217, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=4988","layer":4},{"info":"compute unary expreesion, input=4988, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=293662","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=293662, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-880986","layer":2},{"info":"compute unary expreesion, input=-880986, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=2642958","layer":1},{"info":"number node, value=3236","layer":4},{"info":"compute unary expreesion, input=3236, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=3236","layer":3},{"info":"compute unary expreesion, input=3236, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-951289","layer":2},{"info":"number node, value=1904","layer":4},{"info":"compute unary expreesion, input=1904, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=2674","layer":4},{"info":"number node, value=4626","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=4626, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-951289, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=2642958, right_input=160, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=13214663","layer":0}],"base":10,"result_base":10,"text":"(⋗⩬⋾⊺⇮1394⪟⇏⊺⇮4217∌↝(⇘⊺⇮4988))⫯⪬∳((⋣(⊺⇮3236⋐⇩⊬))⋾⨃∁(⇺⋃⊺⇮1904)≹⇙⪍(⊺⇮2674⫔⩽⩺⊺⇮4626))=⊺⇮13214663","reverse_text":"⊺⇮13214663=(⋗⩬⋾⊺⇮1394⪟⇏⊺⇮4217∌↝(⇘⊺⇮4988))⫯⪬∳((⋣(⊺⇮3236⋐⇩⊬))⋾⨃∁(⇺⋃⊺⇮1904)≹⇙⪍(⊺⇮2674⫔⩽⩺⊺⇮4626))","cot":[{"info":"⊺⇮1394⪟⇏⊺⇮4217=⊺⇮-1","layer":3},{"info":"⇘⊺⇮4988=⊺⇮293662","layer":3},{"info":"⊺⇮-1∌↝⊺⇮293662=⊺⇮-880986","layer":2},{"info":"⋗⩬⋾⊺⇮-880986=⊺⇮2642958","layer":1},{"info":"⊺⇮3236⋐⇩⊬=⊺⇮3236","layer":3},{"info":"⋣⊺⇮3236=⊺⇮-951289","layer":2},{"info":"⇺⋃⊺⇮1904=NaN","layer":3},{"info":"⊺⇮2674⫔⩽⩺⊺⇮4626=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"⊺⇮-951289⋾⨃∁NaN=⊺⇮160","layer":1},{"info":"⊺⇮2642958⫯⪬∳⊺⇮160=⊺⇮13214663","layer":0}]}
{"id":306,"expression_no_base_symbol":"(((∓⪦$7524$)⪄(⩷$5602$))⋥≓≎($4748$⋥≓≎$3692$)⪔(⇺⋃$2439$))⊋(($6237$⩉⊫⨁)⋻⩜⩜($1958$⊅))≦↸((⪲⇎$1620$)⩚⊴⇥($3130$≭$1234$))","expression":"(((∓⪦⊺⇮7524)⪄(⩷⊺⇮5602))⋥≓≎(⊺⇮4748⋥≓≎⊺⇮3692)⪔(⇺⋃⊺⇮2439))⊋((⊺⇮6237⩉⊫⨁)⋻⩜⩜(⊺⇮1958⊅))≦↸((⪲⇎⊺⇮1620)⩚⊴⇥(⊺⇮3130≭⊺⇮1234))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2924,"operation_count":15,"complexity_ratio":194.93333333333334,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":7524,"base":10}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":5602,"base":10}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4748,"base":10},"right_expr":{"type":"numeric_atoms","value":3692,"base":10}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2439,"base":10}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":6237,"base":10}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1958,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1620,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3130,"base":10},"right_expr":{"type":"numeric_atoms","value":1234,"base":10}}}}},"used_operators":["W4tP9CfskL","Qy55tPpLXF","SUmda5xLS4","D309nIvmXG","1h0rLqGiFr","GjBEYRfMaF","E5v5B3UAjG","RygbFNSyEJ","oDCm7WA9JY","7qqUquhhSb","7p6YLioM7f","NTOWxs364D","XPYlsWDdGa","rxpJgHHUmx"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","7j4O788W3g","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7524","layer":4},{"info":"compute unary expreesion, input=7524, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=7116","layer":3},{"info":"number node, value=5602","layer":4},{"info":"compute unary expreesion, input=5602, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-67303","layer":3},{"info":"compute binary expreesion, left_input=7116, right_input=-67303, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-780045","layer":2},{"info":"number node, value=4748","layer":4},{"info":"number node, value=3692","layer":4},{"info":"compute binary expreesion, left_input=4748, right_input=3692, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2669","layer":3},{"info":"number node, value=2439","layer":4},{"info":"compute unary expreesion, input=2439, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2669, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-780045, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=6237","layer":4},{"info":"compute unary expreesion, input=6237, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=6237","layer":3},{"info":"number node, value=1958","layer":4},{"info":"compute unary expreesion, input=1958, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=6237, right_input=-174, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=12474","layer":2},{"info":"number node, value=1620","layer":4},{"info":"compute unary expreesion, input=1620, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3240","layer":3},{"info":"number node, value=3130","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=3130, right_input=1234, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3240, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12474, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((∓⪦⊺⇮7524)⪄(⩷⊺⇮5602))⋥≓≎(⊺⇮4748⋥≓≎⊺⇮3692)⪔(⇺⋃⊺⇮2439))⊋((⊺⇮6237⩉⊫⨁)⋻⩜⩜(⊺⇮1958⊅))≦↸((⪲⇎⊺⇮1620)⩚⊴⇥(⊺⇮3130≭⊺⇮1234))=NaN","reverse_text":"NaN=(((∓⪦⊺⇮7524)⪄(⩷⊺⇮5602))⋥≓≎(⊺⇮4748⋥≓≎⊺⇮3692)⪔(⇺⋃⊺⇮2439))⊋((⊺⇮6237⩉⊫⨁)⋻⩜⩜(⊺⇮1958⊅))≦↸((⪲⇎⊺⇮1620)⩚⊴⇥(⊺⇮3130≭⊺⇮1234))","cot":[{"info":"∓⪦⊺⇮7524=⊺⇮7116","layer":3},{"info":"⩷⊺⇮5602=⊺⇮-67303","layer":3},{"info":"⊺⇮7116⪄⊺⇮-67303=⊺⇮-780045","layer":2},{"info":"⊺⇮4748⋥≓≎⊺⇮3692=⊺⇮2669","layer":3},{"info":"⇺⋃⊺⇮2439=NaN","layer":3},{"info":"⊺⇮2669⪔NaN=NaN","layer":2},{"info":"⊺⇮-780045⋥≓≎NaN=⊺⇮67","layer":1},{"info":"⊺⇮6237⩉⊫⨁=⊺⇮6237","layer":3},{"info":"⊺⇮1958⊅=⊺⇮-174","layer":3},{"info":"⊺⇮6237⋻⩜⩜⊺⇮-174=⊺⇮12474","layer":2},{"info":"⪲⇎⊺⇮1620=⊺⇮3240","layer":3},{"info":"⊺⇮3130≭⊺⇮1234=NaN","layer":3},{"info":"⊺⇮3240⩚⊴⇥NaN=NaN","layer":2},{"info":"⊺⇮12474≦↸NaN=NaN","layer":1},{"info":"⊺⇮67⊋NaN=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"⨭⩧⫛(($2040$≭$2142$+⇶⊼$1092$∀⇚≩$2963$)⨪↰⇹(→⩰(⊽$4340$)))","expression":"⨭⩧⫛((⊺⇮2040≭⊺⇮2142+⇶⊼⊺⇮1092∀⇚≩⊺⇮2963)⨪↰⇹(→⩰(⊽⊺⇮4340)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":18247,"operation_count":7,"complexity_ratio":2606.714285714286,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2040,"base":10},"right_expr":{"type":"numeric_atoms","value":2142,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1092,"base":10},"right_expr":{"type":"numeric_atoms","value":2963,"base":10}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":4340,"base":10}}}}},"used_operators":["g21JL6JxX7","tmPS8pqC7x","TpPTUOHfaN","rxpJgHHUmx","LRNGc0VcxI","o8Pngz0Tml","QxG7OkqoLX"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rJVOvQCfKK","AHs5Up7iyr","AHs5Up7iyr","X99M06cbEe","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2040","layer":4},{"info":"number node, value=2142","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=2142, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=2963","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=2963, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4340","layer":4},{"info":"compute unary expreesion, input=4340, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=10202","layer":3},{"info":"compute unary expreesion, input=10202, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨭⩧⫛((⊺⇮2040≭⊺⇮2142+⇶⊼⊺⇮1092∀⇚≩⊺⇮2963)⨪↰⇹(→⩰(⊽⊺⇮4340)))=NaN","reverse_text":"NaN=⨭⩧⫛((⊺⇮2040≭⊺⇮2142+⇶⊼⊺⇮1092∀⇚≩⊺⇮2963)⨪↰⇹(→⩰(⊽⊺⇮4340)))","cot":[{"info":"⊺⇮2040≭⊺⇮2142=NaN","layer":3},{"info":"⊺⇮1092∀⇚≩⊺⇮2963=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⊽⊺⇮4340=⊺⇮10202","layer":3},{"info":"→⩰⊺⇮10202=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⨭⩧⫛NaN=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"(⇁⨣⪵$3202$⪭$3508$⪨⊡(⇨$4428$))⇤((↘($7396$↙$4747$))↰)","expression":"(⇁⨣⪵⊺⇮3202⪭⊺⇮3508⪨⊡(⇨⊺⇮4428))⇤((↘(⊺⇮7396↙⊺⇮4747))↰)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4836,"operation_count":8,"complexity_ratio":604.5,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3202,"base":10},"right_expr":{"type":"numeric_atoms","value":3508,"base":10}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4428,"base":10}}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7396,"base":10},"right_expr":{"type":"numeric_atoms","value":4747,"base":10}}}}},"used_operators":["YSKBFp38Pu","inkyxCbjAn","kuIXHzHcAH","j9kHMeSvPp","G9tJMlZ94a","bl5wxAcryP","LdNpr8hQHL","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","B5M0gjZbta","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","COABgblf1C","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","Z2TMIBDE3Q","uFcxV4UQCh","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3202","layer":4},{"info":"number node, value=3508","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=3508, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=4428","layer":4},{"info":"compute unary expreesion, input=4428, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"compute unary expreesion, input=789, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=7396","layer":4},{"info":"number node, value=4747","layer":4},{"info":"compute binary expreesion, left_input=7396, right_input=4747, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14241","layer":3},{"info":"compute unary expreesion, input=-14241, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=263","layer":2},{"info":"compute unary expreesion, input=263, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=162","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=162, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇁⨣⪵⊺⇮3202⪭⊺⇮3508⪨⊡(⇨⊺⇮4428))⇤((↘(⊺⇮7396↙⊺⇮4747))↰)=NaN","reverse_text":"NaN=(⇁⨣⪵⊺⇮3202⪭⊺⇮3508⪨⊡(⇨⊺⇮4428))⇤((↘(⊺⇮7396↙⊺⇮4747))↰)","cot":[{"info":"⊺⇮3202⪭⊺⇮3508=⊺⇮5","layer":3},{"info":"⇨⊺⇮4428=⊺⇮0","layer":3},{"info":"⊺⇮5⪨⊡⊺⇮0=⊺⇮789","layer":2},{"info":"⇁⨣⪵⊺⇮789=NaN","layer":1},{"info":"⊺⇮7396↙⊺⇮4747=⊺⇮-14241","layer":3},{"info":"↘⊺⇮-14241=⊺⇮263","layer":2},{"info":"⊺⇮263↰=⊺⇮162","layer":1},{"info":"NaN⇤⊺⇮162=NaN","layer":0}]}
{"id":309,"expression_no_base_symbol":"(($5259$⫲≸⪮$4416$⪉⨛$1285$⪥$4437$)⨟⋌⩍($6602$⊢$4316$⩨(⋂$2355$)))∣(⪫⨮⊛($2956$⫚↹⊑$8615$))⨼⩣($2933$⪇≇⋚$1203$)∳⫺$2099$⊮⊟↴$6878$","expression":"((⊺⇮5259⫲≸⪮⊺⇮4416⪉⨛⊺⇮1285⪥⊺⇮4437)⨟⋌⩍(⊺⇮6602⊢⊺⇮4316⩨(⋂⊺⇮2355)))∣(⪫⨮⊛(⊺⇮2956⫚↹⊑⊺⇮8615))⨼⩣(⊺⇮2933⪇≇⋚⊺⇮1203)∳⫺⊺⇮2099⊮⊟↴⊺⇮6878","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7142,"operation_count":14,"complexity_ratio":510.14285714285717,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5259,"base":10},"right_expr":{"type":"numeric_atoms","value":4416,"base":10}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1285,"base":10},"right_expr":{"type":"numeric_atoms","value":4437,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":6602,"base":10},"right_expr":{"type":"numeric_atoms","value":4316,"base":10}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":2355,"base":10}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2956,"base":10},"right_expr":{"type":"numeric_atoms","value":8615,"base":10}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2933,"base":10},"right_expr":{"type":"numeric_atoms","value":1203,"base":10}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2099,"base":10},"right_expr":{"type":"numeric_atoms","value":6878,"base":10}}}}},"used_operators":["PPChnnnBFF","rGHVDoGpnC","EWw2JM7wp4","P3lXMJvFrc","QbnwKVWMIQ","2DlMacCsIx","5twsqlHp2o","BUOGQAYlQx","JxwMv5le6e","w5FWba1tyO","dfKe02y8D2","AzXXKTstlj","3sJ7IOPOlU","QDVgd2eftb"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Tcnh7f0tEr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5259","layer":4},{"info":"number node, value=4416","layer":4},{"info":"compute binary expreesion, left_input=5259, right_input=4416, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5259","layer":3},{"info":"number node, value=1285","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=4437, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9792","layer":3},{"info":"compute binary expreesion, left_input=5259, right_input=9792, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6200","layer":2},{"info":"number node, value=6602","layer":4},{"info":"number node, value=4316","layer":4},{"info":"compute binary expreesion, left_input=6602, right_input=4316, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-13448","layer":3},{"info":"number node, value=2355","layer":4},{"info":"compute unary expreesion, input=2355, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-32374","layer":3},{"info":"compute binary expreesion, left_input=-13448, right_input=-32374, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":2},{"info":"compute binary expreesion, left_input=6200, right_input=-6, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"number node, value=2956","layer":4},{"info":"number node, value=8615","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=8615, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=-447","layer":2},{"info":"number node, value=2933","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=1203, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2099","layer":4},{"info":"number node, value=6878","layer":4},{"info":"compute binary expreesion, left_input=2099, right_input=6878, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-260, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5259⫲≸⪮⊺⇮4416⪉⨛⊺⇮1285⪥⊺⇮4437)⨟⋌⩍(⊺⇮6602⊢⊺⇮4316⩨(⋂⊺⇮2355)))∣(⪫⨮⊛(⊺⇮2956⫚↹⊑⊺⇮8615))⨼⩣(⊺⇮2933⪇≇⋚⊺⇮1203)∳⫺⊺⇮2099⊮⊟↴⊺⇮6878=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮5259⫲≸⪮⊺⇮4416⪉⨛⊺⇮1285⪥⊺⇮4437)⨟⋌⩍(⊺⇮6602⊢⊺⇮4316⩨(⋂⊺⇮2355)))∣(⪫⨮⊛(⊺⇮2956⫚↹⊑⊺⇮8615))⨼⩣(⊺⇮2933⪇≇⋚⊺⇮1203)∳⫺⊺⇮2099⊮⊟↴⊺⇮6878","cot":[{"info":"⊺⇮5259⫲≸⪮⊺⇮4416=⊺⇮5259","layer":3},{"info":"⊺⇮1285⪥⊺⇮4437=⊺⇮9792","layer":3},{"info":"⊺⇮5259⪉⨛⊺⇮9792=⊺⇮6200","layer":2},{"info":"⊺⇮6602⊢⊺⇮4316=⊺⇮-13448","layer":3},{"info":"⋂⊺⇮2355=⊺⇮-32374","layer":3},{"info":"⊺⇮-13448⩨⊺⇮-32374=⊺⇮-6","layer":2},{"info":"⊺⇮6200⨟⋌⩍⊺⇮-6=⊺⇮0","layer":1},{"info":"⊺⇮2956⫚↹⊑⊺⇮8615=⊺⇮-447","layer":3},{"info":"⪫⨮⊛⊺⇮-447=⊺⇮-447","layer":2},{"info":"⊺⇮2933⪇≇⋚⊺⇮1203=⊺⇮0","layer":3},{"info":"⊺⇮2099⊮⊟↴⊺⇮6878=⊺⇮0","layer":3},{"info":"⊺⇮0∳⫺⊺⇮0=⊺⇮-260","layer":2},{"info":"⊺⇮-447⨼⩣⊺⇮-260=NaN","layer":1},{"info":"⊺⇮0∣NaN=⊺⇮0","layer":0}]}
{"id":310,"expression_no_base_symbol":"((⇋⊎⋝($1302$⋣⋖$7893$))≚⊃≕(⇋⊎⋝$2579$)∊∟⩊($2451$⨵⪆$5432$))⨥⫆(⇜($4870$⩨$1036$))⨽∌(($2900$⋻⩜⩜$2135$)⨜⨶($1509$⇤$1885$))","expression":"((⇋⊎⋝(⊺⇮1302⋣⋖⊺⇮7893))≚⊃≕(⇋⊎⋝⊺⇮2579)∊∟⩊(⊺⇮2451⨵⪆⊺⇮5432))⨥⫆(⇜(⊺⇮4870⩨⊺⇮1036))⨽∌((⊺⇮2900⋻⩜⩜⊺⇮2135)⨜⨶(⊺⇮1509⇤⊺⇮1885))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35037,"operation_count":13,"complexity_ratio":2695.153846153846,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1302,"base":10},"right_expr":{"type":"numeric_atoms","value":7893,"base":10}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":2579,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2451,"base":10},"right_expr":{"type":"numeric_atoms","value":5432,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4870,"base":10},"right_expr":{"type":"numeric_atoms","value":1036,"base":10}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2900,"base":10},"right_expr":{"type":"numeric_atoms","value":2135,"base":10}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1509,"base":10},"right_expr":{"type":"numeric_atoms","value":1885,"base":10}}}}},"used_operators":["yXekIHxTD4","Bmrmz2XGnR","CzM2PEoXns","J0M6qkBnIM","ddLRYrp01A","2DQ55sFlQl","9samAPKr6k","lFBm8KRb8F","2DlMacCsIx","HiPekx5b7W","oDCm7WA9JY","YSKBFp38Pu"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1302","layer":4},{"info":"number node, value=7893","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=7893, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1302","layer":3},{"info":"compute unary expreesion, input=1302, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=2579","layer":4},{"info":"compute unary expreesion, input=2579, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2451","layer":4},{"info":"number node, value=5432","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=5432, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":1},{"info":"number node, value=4870","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=4870, right_input=1036, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"number node, value=2900","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=2900, right_input=2135, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5800","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1885, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-14122","layer":3},{"info":"compute binary expreesion, left_input=5800, right_input=-14122, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-25949","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=-25949, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⇋⊎⋝(⊺⇮1302⋣⋖⊺⇮7893))≚⊃≕(⇋⊎⋝⊺⇮2579)∊∟⩊(⊺⇮2451⨵⪆⊺⇮5432))⨥⫆(⇜(⊺⇮4870⩨⊺⇮1036))⨽∌((⊺⇮2900⋻⩜⩜⊺⇮2135)⨜⨶(⊺⇮1509⇤⊺⇮1885))=NaN","reverse_text":"NaN=((⇋⊎⋝(⊺⇮1302⋣⋖⊺⇮7893))≚⊃≕(⇋⊎⋝⊺⇮2579)∊∟⩊(⊺⇮2451⨵⪆⊺⇮5432))⨥⫆(⇜(⊺⇮4870⩨⊺⇮1036))⨽∌((⊺⇮2900⋻⩜⩜⊺⇮2135)⨜⨶(⊺⇮1509⇤⊺⇮1885))","cot":[{"info":"⊺⇮1302⋣⋖⊺⇮7893=⊺⇮1302","layer":3},{"info":"⇋⊎⋝⊺⇮1302=NaN","layer":2},{"info":"⇋⊎⋝⊺⇮2579=NaN","layer":3},{"info":"⊺⇮2451⨵⪆⊺⇮5432=⊺⇮160","layer":3},{"info":"NaN∊∟⩊⊺⇮160=NaN","layer":2},{"info":"NaN≚⊃≕NaN=NaN","layer":1},{"info":"⊺⇮4870⩨⊺⇮1036=⊺⇮0","layer":3},{"info":"⇜⊺⇮0=⊺⇮232","layer":2},{"info":"⊺⇮2900⋻⩜⩜⊺⇮2135=⊺⇮5800","layer":3},{"info":"⊺⇮1509⇤⊺⇮1885=⊺⇮-14122","layer":3},{"info":"⊺⇮5800⨜⨶⊺⇮-14122=⊺⇮-25949","layer":2},{"info":"⊺⇮232⨽∌⊺⇮-25949=⊺⇮0","layer":1},{"info":"NaN⨥⫆⊺⇮0=NaN","layer":0}]}
{"id":311,"expression_no_base_symbol":"(⨣⨃⇪$4166$)⪮%⊝$2187$⪥$3677$≒∊($2200$⇣⩺⋵$2108$)∼$7620$⨚$3592$∲⫓($2986$⩉⊫⨁)∘(⊖∈$1657$)⨻⩈⩔($4155$⨲∙)⋕⪉⪜($3913$≨$1632$)","expression":"(⨣⨃⇪⊺⇮4166)⪮%⊝⊺⇮2187⪥⊺⇮3677≒∊(⊺⇮2200⇣⩺⋵⊺⇮2108)∼⊺⇮7620⨚⊺⇮3592∲⫓(⊺⇮2986⩉⊫⨁)∘(⊖∈⊺⇮1657)⨻⩈⩔(⊺⇮4155⨲∙)⋕⪉⪜(⊺⇮3913≨⊺⇮1632)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":857,"operation_count":15,"complexity_ratio":57.13333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":4166,"base":10}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2187,"base":10},"right_expr":{"type":"numeric_atoms","value":3677,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2200,"base":10},"right_expr":{"type":"numeric_atoms","value":2108,"base":10}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":7620,"base":10},"right_expr":{"type":"numeric_atoms","value":3592,"base":10}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2986,"base":10}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1657,"base":10}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":4155,"base":10}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3913,"base":10},"right_expr":{"type":"numeric_atoms","value":1632,"base":10}}}}},"used_operators":["i8ToyICDmI","5KTvxBwnZo","IWmyXbctLI","AcOhelriW5","QbnwKVWMIQ","DyGG3AbaNP","F4yD0voBRQ","nREPSIbpBE","nEsXyWgiOK","Z5m6OM72h2","7qqUquhhSb","YFxL8Sc2Zy","z6LnFrNh4i","cRahaglYVE","0KMCeP1Jsh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","BjRHVeLaeN","12rbrZMWeM","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eH2TOUuTDT","rysDP5nf3Z","7j4O788W3g","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4166","layer":4},{"info":"compute unary expreesion, input=4166, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=2187","layer":4},{"info":"number node, value=3677","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=3677, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13400","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=13400, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3126","layer":2},{"info":"number node, value=2200","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=2108, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=7620","layer":4},{"info":"number node, value=3592","layer":4},{"info":"compute binary expreesion, left_input=7620, right_input=3592, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1806","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=1806, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3126, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"number node, value=2986","layer":4},{"info":"compute unary expreesion, input=2986, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2986","layer":3},{"info":"number node, value=1657","layer":4},{"info":"compute unary expreesion, input=1657, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=27546","layer":3},{"info":"compute binary expreesion, left_input=2986, right_input=27546, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5972","layer":2},{"info":"number node, value=4155","layer":4},{"info":"compute unary expreesion, input=4155, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=54214122","layer":3},{"info":"number node, value=3913","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=3913, right_input=1632, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-36654","layer":3},{"info":"compute binary expreesion, left_input=54214122, right_input=-36654, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=5972, right_input=2802, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=39375","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=39375, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⨣⨃⇪⊺⇮4166)⪮%⊝⊺⇮2187⪥⊺⇮3677≒∊(⊺⇮2200⇣⩺⋵⊺⇮2108)∼⊺⇮7620⨚⊺⇮3592∲⫓(⊺⇮2986⩉⊫⨁)∘(⊖∈⊺⇮1657)⨻⩈⩔(⊺⇮4155⨲∙)⋕⪉⪜(⊺⇮3913≨⊺⇮1632)=⊺⇮0","reverse_text":"⊺⇮0=(⨣⨃⇪⊺⇮4166)⪮%⊝⊺⇮2187⪥⊺⇮3677≒∊(⊺⇮2200⇣⩺⋵⊺⇮2108)∼⊺⇮7620⨚⊺⇮3592∲⫓(⊺⇮2986⩉⊫⨁)∘(⊖∈⊺⇮1657)⨻⩈⩔(⊺⇮4155⨲∙)⋕⪉⪜(⊺⇮3913≨⊺⇮1632)","cot":[{"info":"⨣⨃⇪⊺⇮4166=⊺⇮1405","layer":3},{"info":"⊺⇮2187⪥⊺⇮3677=⊺⇮13400","layer":3},{"info":"⊺⇮1405⪮%⊝⊺⇮13400=⊺⇮3126","layer":2},{"info":"⊺⇮2200⇣⩺⋵⊺⇮2108=⊺⇮-260","layer":3},{"info":"⊺⇮7620⨚⊺⇮3592=⊺⇮1806","layer":3},{"info":"⊺⇮-260∼⊺⇮1806=NaN","layer":2},{"info":"⊺⇮3126≒∊NaN=NaN","layer":1},{"info":"⊺⇮2986⩉⊫⨁=⊺⇮2986","layer":3},{"info":"⊖∈⊺⇮1657=⊺⇮27546","layer":3},{"info":"⊺⇮2986∘⊺⇮27546=⊺⇮5972","layer":2},{"info":"⊺⇮4155⨲∙=⊺⇮54214122","layer":3},{"info":"⊺⇮3913≨⊺⇮1632=⊺⇮-36654","layer":3},{"info":"⊺⇮54214122⋕⪉⪜⊺⇮-36654=⊺⇮2802","layer":2},{"info":"⊺⇮5972⨻⩈⩔⊺⇮2802=⊺⇮39375","layer":1},{"info":"NaN∲⫓⊺⇮39375=⊺⇮0","layer":0}]}
{"id":312,"expression_no_base_symbol":"($1295$⪍↜⋙$2797$)⨑⩅≇($5238$⪭≯$1546$)≚⊃≕($1347$⊔$2667$≃(⇁⨣⪵$2677$))⊹∫⫚(($3102$∼$6312$)≁($2525$∠↢$1023$)⨒(($6870$⩷∴$3529$)⫿))","expression":"(⊺⇮1295⪍↜⋙⊺⇮2797)⨑⩅≇(⊺⇮5238⪭≯⊺⇮1546)≚⊃≕(⊺⇮1347⊔⊺⇮2667≃(⇁⨣⪵⊺⇮2677))⊹∫⫚((⊺⇮3102∼⊺⇮6312)≁(⊺⇮2525∠↢⊺⇮1023)⨒((⊺⇮6870⩷∴⊺⇮3529)⫿))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":498,"operation_count":14,"complexity_ratio":35.57142857142857,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1295,"base":10},"right_expr":{"type":"numeric_atoms","value":2797,"base":10}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5238,"base":10},"right_expr":{"type":"numeric_atoms","value":1546,"base":10}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1347,"base":10},"right_expr":{"type":"numeric_atoms","value":2667,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2677,"base":10}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3102,"base":10},"right_expr":{"type":"numeric_atoms","value":6312,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2525,"base":10},"right_expr":{"type":"numeric_atoms","value":1023,"base":10}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6870,"base":10},"right_expr":{"type":"numeric_atoms","value":3529,"base":10}}}}},"used_operators":["uWAJUKEvyW","Bmrmz2XGnR","h92wMvzauj","L05ObWFQCd","XAx5wpdLa6","YbVcJGFEVW","E4l6HwMY31","inkyxCbjAn","y75s1iXyHd","8N2wDY1A35","DyGG3AbaNP","KbjG8mgYpV","9tKT6PmtkH","9FxExcQeMw"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1295","layer":4},{"info":"number node, value=2797","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=2797, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-12852","layer":3},{"info":"number node, value=5238","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=5238, right_input=1546, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12852, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"number node, value=1347","layer":4},{"info":"number node, value=2667","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=2667, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13629","layer":3},{"info":"number node, value=2677","layer":4},{"info":"compute unary expreesion, input=2677, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13629, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=69, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"number node, value=3102","layer":4},{"info":"number node, value=6312","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=6312, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2525","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=2525, right_input=1023, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-23340","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-23340, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"number node, value=6870","layer":4},{"info":"number node, value=3529","layer":4},{"info":"compute binary expreesion, left_input=6870, right_input=3529, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6650","layer":3},{"info":"compute unary expreesion, input=6650, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=6650","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6650, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1295⪍↜⋙⊺⇮2797)⨑⩅≇(⊺⇮5238⪭≯⊺⇮1546)≚⊃≕(⊺⇮1347⊔⊺⇮2667≃(⇁⨣⪵⊺⇮2677))⊹∫⫚((⊺⇮3102∼⊺⇮6312)≁(⊺⇮2525∠↢⊺⇮1023)⨒((⊺⇮6870⩷∴⊺⇮3529)⫿))=NaN","reverse_text":"NaN=(⊺⇮1295⪍↜⋙⊺⇮2797)⨑⩅≇(⊺⇮5238⪭≯⊺⇮1546)≚⊃≕(⊺⇮1347⊔⊺⇮2667≃(⇁⨣⪵⊺⇮2677))⊹∫⫚((⊺⇮3102∼⊺⇮6312)≁(⊺⇮2525∠↢⊺⇮1023)⨒((⊺⇮6870⩷∴⊺⇮3529)⫿))","cot":[{"info":"⊺⇮1295⪍↜⋙⊺⇮2797=⊺⇮-12852","layer":3},{"info":"⊺⇮5238⪭≯⊺⇮1546=NaN","layer":3},{"info":"⊺⇮-12852⨑⩅≇NaN=⊺⇮935","layer":2},{"info":"⊺⇮1347⊔⊺⇮2667=⊺⇮13629","layer":3},{"info":"⇁⨣⪵⊺⇮2677=NaN","layer":3},{"info":"⊺⇮13629≃NaN=⊺⇮69","layer":2},{"info":"⊺⇮935≚⊃≕⊺⇮69=⊺⇮67","layer":1},{"info":"⊺⇮3102∼⊺⇮6312=NaN","layer":3},{"info":"⊺⇮2525∠↢⊺⇮1023=⊺⇮-23340","layer":3},{"info":"NaN≁⊺⇮-23340=NaN","layer":2},{"info":"⊺⇮6870⩷∴⊺⇮3529=⊺⇮6650","layer":3},{"info":"⊺⇮6650⫿=⊺⇮6650","layer":2},{"info":"NaN⨒⊺⇮6650=NaN","layer":1},{"info":"⊺⇮67⊹∫⫚NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"↩(($2934$⪑⩈)⨽⪊≇)⪕($1230$⊬⨰$1049$)⨿($1432$⪒$4991$)","expression":"↩((⊺⇮2934⪑⩈)⨽⪊≇)⪕(⊺⇮1230⊬⨰⊺⇮1049)⨿(⊺⇮1432⪒⊺⇮4991)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":298,"operation_count":7,"complexity_ratio":42.57142857142857,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":2934,"base":10}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1230,"base":10},"right_expr":{"type":"numeric_atoms","value":1049,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1432,"base":10},"right_expr":{"type":"numeric_atoms","value":4991,"base":10}}}}},"used_operators":["jLgFTUHLKL","umQnsF7QlU","nlCqmYiOvY","C6VvDP6HwP","abYXlopdE0","s3Fd5m9Dh2","f6k1SAg4EE"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-706660","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2934","layer":4},{"info":"compute unary expreesion, input=2934, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=22128","layer":3},{"info":"compute unary expreesion, input=22128, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=43730","layer":2},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1049, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=4370","layer":3},{"info":"number node, value=1432","layer":4},{"info":"number node, value=4991","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=4991, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6423","layer":3},{"info":"compute binary expreesion, left_input=4370, right_input=-6423, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=43730, right_input=-319, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=88680","layer":1},{"info":"compute unary expreesion, input=88680, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-706660","layer":0}],"base":10,"result_base":10,"text":"↩((⊺⇮2934⪑⩈)⨽⪊≇)⪕(⊺⇮1230⊬⨰⊺⇮1049)⨿(⊺⇮1432⪒⊺⇮4991)=⊺⇮-706660","reverse_text":"⊺⇮-706660=↩((⊺⇮2934⪑⩈)⨽⪊≇)⪕(⊺⇮1230⊬⨰⊺⇮1049)⨿(⊺⇮1432⪒⊺⇮4991)","cot":[{"info":"⊺⇮2934⪑⩈=⊺⇮22128","layer":3},{"info":"⊺⇮22128⨽⪊≇=⊺⇮43730","layer":2},{"info":"⊺⇮1230⊬⨰⊺⇮1049=⊺⇮4370","layer":3},{"info":"⊺⇮1432⪒⊺⇮4991=⊺⇮-6423","layer":3},{"info":"⊺⇮4370⨿⊺⇮-6423=⊺⇮-319","layer":2},{"info":"⊺⇮43730⪕⊺⇮-319=⊺⇮88680","layer":1},{"info":"↩⊺⇮88680=⊺⇮-706660","layer":0}]}
{"id":314,"expression_no_base_symbol":"(→⩰(⪸$7052$)∣($1030$⊓⋫))⇩","expression":"(→⩰(⪸⊺⇮7052)∣(⊺⇮1030⊓⋫))⇩","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":120597,"operation_count":5,"complexity_ratio":24119.4,"tree":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":7052,"base":10}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1030,"base":10}}}}},"used_operators":["vRio1gEz1j","o8Pngz0Tml","PPChnnnBFF","86A5ENbKR9","IqGBaFP0uj"],"dependent_operators":["W4YGzv6Whe","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7052","layer":4},{"info":"compute unary expreesion, input=7052, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-119675","layer":3},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1158","layer":3},{"info":"compute binary expreesion, left_input=-119675, right_input=-1158, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=120159","layer":2},{"info":"compute unary expreesion, input=120159, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(→⩰(⪸⊺⇮7052)∣(⊺⇮1030⊓⋫))⇩=NaN","reverse_text":"NaN=(→⩰(⪸⊺⇮7052)∣(⊺⇮1030⊓⋫))⇩","cot":[{"info":"⪸⊺⇮7052=⊺⇮-119675","layer":3},{"info":"⊺⇮1030⊓⋫=⊺⇮-1158","layer":3},{"info":"⊺⇮-119675∣⊺⇮-1158=⊺⇮120159","layer":2},{"info":"→⩰⊺⇮120159=NaN","layer":1},{"info":"NaN⇩=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"($6638$⪷)⪝($8935$∠↢$1191$)↤⩊((⨆≐≲$3055$)≁(⫎≠⋺$2340$))∣($2163$∺≝⩲$1017$)⨔⇊($5318$⫉⨲⊜$5767$)∳⫺($1612$↼⊘⨖$2138$⩵∡($3022$⪁$1960$))","expression":"(⊺⇮6638⪷)⪝(⊺⇮8935∠↢⊺⇮1191)↤⩊((⨆≐≲⊺⇮3055)≁(⫎≠⋺⊺⇮2340))∣(⊺⇮2163∺≝⩲⊺⇮1017)⨔⇊(⊺⇮5318⫉⨲⊜⊺⇮5767)∳⫺(⊺⇮1612↼⊘⨖⊺⇮2138⩵∡(⊺⇮3022⪁⊺⇮1960))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":36629198,"operation_count":15,"complexity_ratio":2441946.533333333,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":6638,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":8935,"base":10},"right_expr":{"type":"numeric_atoms","value":1191,"base":10}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":3055,"base":10}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2340,"base":10}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2163,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5318,"base":10},"right_expr":{"type":"numeric_atoms","value":5767,"base":10}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1612,"base":10},"right_expr":{"type":"numeric_atoms","value":2138,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3022,"base":10},"right_expr":{"type":"numeric_atoms","value":1960,"base":10}}}}},"used_operators":["PPChnnnBFF","13rbtpv6ld","wicAB68Tmb","Qctrpi3WzA","KbjG8mgYpV","8N2wDY1A35","Bi9z9uYZqW","LYeZOJ0nQG","AzXXKTstlj","JclMnS0uGI","KPf6cnQVty","WhqkvtTD3t","Y7wcNGrDQJ","bPywburJMS","I7sXao9hZE"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Nsiff2A1zJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6638","layer":4},{"info":"compute unary expreesion, input=6638, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=8935","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=8935, right_input=1191, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-51332","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-51332, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=3055","layer":4},{"info":"compute unary expreesion, input=3055, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=33100440","layer":3},{"info":"number node, value=2340","layer":4},{"info":"compute unary expreesion, input=2340, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=33100440, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8941, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=2163","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=1017, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=5318","layer":4},{"info":"number node, value=5767","layer":4},{"info":"compute binary expreesion, left_input=5318, right_input=5767, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":2},{"info":"number node, value=1612","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=2138, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4054","layer":3},{"info":"number node, value=3022","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=1960, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4054, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6638⪷)⪝(⊺⇮8935∠↢⊺⇮1191)↤⩊((⨆≐≲⊺⇮3055)≁(⫎≠⋺⊺⇮2340))∣(⊺⇮2163∺≝⩲⊺⇮1017)⨔⇊(⊺⇮5318⫉⨲⊜⊺⇮5767)∳⫺(⊺⇮1612↼⊘⨖⊺⇮2138⩵∡(⊺⇮3022⪁⊺⇮1960))=NaN","reverse_text":"NaN=(⊺⇮6638⪷)⪝(⊺⇮8935∠↢⊺⇮1191)↤⩊((⨆≐≲⊺⇮3055)≁(⫎≠⋺⊺⇮2340))∣(⊺⇮2163∺≝⩲⊺⇮1017)⨔⇊(⊺⇮5318⫉⨲⊜⊺⇮5767)∳⫺(⊺⇮1612↼⊘⨖⊺⇮2138⩵∡(⊺⇮3022⪁⊺⇮1960))","cot":[{"info":"⊺⇮6638⪷=NaN","layer":3},{"info":"⊺⇮8935∠↢⊺⇮1191=⊺⇮-51332","layer":3},{"info":"NaN⪝⊺⇮-51332=NaN","layer":2},{"info":"⨆≐≲⊺⇮3055=⊺⇮33100440","layer":3},{"info":"⫎≠⋺⊺⇮2340=⊺⇮0","layer":3},{"info":"⊺⇮33100440≁⊺⇮0=⊺⇮-8941","layer":2},{"info":"NaN↤⩊⊺⇮-8941=NaN","layer":1},{"info":"⊺⇮2163∺≝⩲⊺⇮1017=⊺⇮160","layer":3},{"info":"⊺⇮5318⫉⨲⊜⊺⇮5767=⊺⇮0","layer":3},{"info":"⊺⇮160⨔⇊⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1612↼⊘⨖⊺⇮2138=⊺⇮4054","layer":3},{"info":"⊺⇮3022⪁⊺⇮1960=NaN","layer":3},{"info":"⊺⇮4054⩵∡NaN=NaN","layer":2},{"info":"⊺⇮0∳⫺NaN=⊺⇮-260","layer":1},{"info":"NaN∣⊺⇮-260=NaN","layer":0}]}
{"id":316,"expression_no_base_symbol":"(($1733$⫑%∭)⫞⩸⩒($2788$⨟⋌⩍$1710$)↓⨍⋜)⋹⋡⊁(($1773$≚⋢)↳≱($1020$⪍↜⋙$1478$)≥⨤⩑((⫡⇟⇯$1939$)⋳⪒(⊈$8802$)))","expression":"((⊺⇮1733⫑%∭)⫞⩸⩒(⊺⇮2788⨟⋌⩍⊺⇮1710)↓⨍⋜)⋹⋡⊁((⊺⇮1773≚⋢)↳≱(⊺⇮1020⪍↜⋙⊺⇮1478)≥⨤⩑((⫡⇟⇯⊺⇮1939)⋳⪒(⊈⊺⇮8802)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":63970,"operation_count":12,"complexity_ratio":5330.833333333333,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1733,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2788,"base":10},"right_expr":{"type":"numeric_atoms","value":1710,"base":10}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1773,"base":10}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1020,"base":10},"right_expr":{"type":"numeric_atoms","value":1478,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1939,"base":10}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":8802,"base":10}}}}},"used_operators":["As8RqfVLgs","3DVzLFNsE9","XGcMNugi78","xUx7qlDO4z","rGHVDoGpnC","gJLn6v0xnP","JwTKLfZU96","MahUMFw56D","L05ObWFQCd","12rbrZMWeM","qWUSsah53b","RHru8klgy8"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","Tcnh7f0tEr","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","3ViojmjbAp","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","P8v4zCKN1o","12rbrZMWeM","xUOZtlo3hN"],"result":"⊺⇮1984","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1733","layer":4},{"info":"compute unary expreesion, input=1733, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=2788","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=1710, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=nan","layer":1},{"info":"number node, value=1773","layer":4},{"info":"compute unary expreesion, input=1773, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1478, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-8839","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=-8839, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=1939","layer":4},{"info":"compute unary expreesion, input=1939, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4746","layer":3},{"info":"number node, value=8802","layer":4},{"info":"compute unary expreesion, input=8802, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-8976","layer":3},{"info":"compute binary expreesion, left_input=4746, right_input=-8976, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=18181","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=18181, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1984","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1733⫑%∭)⫞⩸⩒(⊺⇮2788⨟⋌⩍⊺⇮1710)↓⨍⋜)⋹⋡⊁((⊺⇮1773≚⋢)↳≱(⊺⇮1020⪍↜⋙⊺⇮1478)≥⨤⩑((⫡⇟⇯⊺⇮1939)⋳⪒(⊈⊺⇮8802)))=⊺⇮1984","reverse_text":"⊺⇮1984=((⊺⇮1733⫑%∭)⫞⩸⩒(⊺⇮2788⨟⋌⩍⊺⇮1710)↓⨍⋜)⋹⋡⊁((⊺⇮1773≚⋢)↳≱(⊺⇮1020⪍↜⋙⊺⇮1478)≥⨤⩑((⫡⇟⇯⊺⇮1939)⋳⪒(⊈⊺⇮8802)))","cot":[{"info":"⊺⇮1733⫑%∭=NaN","layer":3},{"info":"⊺⇮2788⨟⋌⩍⊺⇮1710=NaN","layer":3},{"info":"NaN⫞⩸⩒NaN=NaN","layer":2},{"info":"NaN↓⨍⋜=NaN","layer":1},{"info":"⊺⇮1773≚⋢=⊺⇮-89","layer":3},{"info":"⊺⇮1020⪍↜⋙⊺⇮1478=⊺⇮-8839","layer":3},{"info":"⊺⇮-89↳≱⊺⇮-8839=⊺⇮0","layer":2},{"info":"⫡⇟⇯⊺⇮1939=⊺⇮4746","layer":3},{"info":"⊈⊺⇮8802=⊺⇮-8976","layer":3},{"info":"⊺⇮4746⋳⪒⊺⇮-8976=⊺⇮18181","layer":2},{"info":"⊺⇮0≥⨤⩑⊺⇮18181=⊺⇮1234","layer":1},{"info":"NaN⋹⋡⊁⊺⇮1234=⊺⇮1984","layer":0}]}
{"id":317,"expression_no_base_symbol":"($9468$⊮⊟↴$2796$⨪↰⇹$4421$∺≝⩲$2740$⇴(($1343$≫≃)⨳⩥⨓($2583$∀⋜↑)))⪬((⪫⨮⊛($3385$⪊≅))⪎↠((⇖$3737$)⩷∴($1032$⇮⋭$3408$)))","expression":"(⊺⇮9468⊮⊟↴⊺⇮2796⨪↰⇹⊺⇮4421∺≝⩲⊺⇮2740⇴((⊺⇮1343≫≃)⨳⩥⨓(⊺⇮2583∀⋜↑)))⪬((⪫⨮⊛(⊺⇮3385⪊≅))⪎↠((⇖⊺⇮3737)⩷∴(⊺⇮1032⇮⋭⊺⇮3408)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":715,"operation_count":14,"complexity_ratio":51.07142857142857,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":9468,"base":10},"right_expr":{"type":"numeric_atoms","value":2796,"base":10}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4421,"base":10},"right_expr":{"type":"numeric_atoms","value":2740,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1343,"base":10}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":2583,"base":10}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":3385,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":3737,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1032,"base":10},"right_expr":{"type":"numeric_atoms","value":3408,"base":10}}}}},"used_operators":["Ez1Nq5fNfI","4JB6nKBMSY","tmPS8pqC7x","QDVgd2eftb","KPf6cnQVty","nCS4ZIUYfx","X99M06cbEe","KipPnG1M2J","3tVxb0NHM4","w5FWba1tyO","bjFbhXSADs","9FxExcQeMw","tfWHHpNKUN","vkpjKywKVM"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","sdazOOVcIp","NTOWxs364D","COABgblf1C","rJVOvQCfKK","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","rysDP5nf3Z","2DQ55sFlQl","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9468","layer":4},{"info":"number node, value=2796","layer":4},{"info":"compute binary expreesion, left_input=9468, right_input=2796, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=4421","layer":4},{"info":"number node, value=2740","layer":4},{"info":"compute binary expreesion, left_input=4421, right_input=2740, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4087","layer":3},{"info":"number node, value=2583","layer":4},{"info":"compute unary expreesion, input=2583, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=4087, right_input=-484, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4571","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4571, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-9528","layer":1},{"info":"number node, value=3385","layer":4},{"info":"compute unary expreesion, input=3385, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=0","layer":2},{"info":"number node, value=3737","layer":4},{"info":"compute unary expreesion, input=3737, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=3408","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=3408, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-473, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-9528, right_input=868, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮9468⊮⊟↴⊺⇮2796⨪↰⇹⊺⇮4421∺≝⩲⊺⇮2740⇴((⊺⇮1343≫≃)⨳⩥⨓(⊺⇮2583∀⋜↑)))⪬((⪫⨮⊛(⊺⇮3385⪊≅))⪎↠((⇖⊺⇮3737)⩷∴(⊺⇮1032⇮⋭⊺⇮3408)))=⊺⇮1234","reverse_text":"⊺⇮1234=(⊺⇮9468⊮⊟↴⊺⇮2796⨪↰⇹⊺⇮4421∺≝⩲⊺⇮2740⇴((⊺⇮1343≫≃)⨳⩥⨓(⊺⇮2583∀⋜↑)))⪬((⪫⨮⊛(⊺⇮3385⪊≅))⪎↠((⇖⊺⇮3737)⩷∴(⊺⇮1032⇮⋭⊺⇮3408)))","cot":[{"info":"⊺⇮9468⊮⊟↴⊺⇮2796=⊺⇮0","layer":3},{"info":"⊺⇮4421∺≝⩲⊺⇮2740=⊺⇮160","layer":3},{"info":"⊺⇮0⨪↰⇹⊺⇮160=⊺⇮0","layer":2},{"info":"⊺⇮1343≫≃=⊺⇮4087","layer":3},{"info":"⊺⇮2583∀⋜↑=⊺⇮-484","layer":3},{"info":"⊺⇮4087⨳⩥⨓⊺⇮-484=⊺⇮-4571","layer":2},{"info":"⊺⇮0⇴⊺⇮-4571=⊺⇮-9528","layer":1},{"info":"⊺⇮3385⪊≅=⊺⇮0","layer":3},{"info":"⪫⨮⊛⊺⇮0=⊺⇮0","layer":2},{"info":"⇖⊺⇮3737=⊺⇮160","layer":3},{"info":"⊺⇮1032⇮⋭⊺⇮3408=⊺⇮-473","layer":3},{"info":"⊺⇮160⩷∴⊺⇮-473=⊺⇮1234","layer":2},{"info":"⊺⇮0⪎↠⊺⇮1234=⊺⇮868","layer":1},{"info":"⊺⇮-9528⪬⊺⇮868=⊺⇮1234","layer":0}]}
{"id":318,"expression_no_base_symbol":"((⊙↵-$9210$)⪟⇏$7794$⪬$2403$)⊮⊟↴($1114$⋳⪒$7398$)⨂≜($3357$⊬⨰$1322$)⫑%∭","expression":"((⊙↵-⊺⇮9210)⪟⇏⊺⇮7794⪬⊺⇮2403)⊮⊟↴(⊺⇮1114⋳⪒⊺⇮7398)⨂≜(⊺⇮3357⊬⨰⊺⇮1322)⫑%∭","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15847,"operation_count":8,"complexity_ratio":1980.875,"tree":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":9210,"base":10}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":7794,"base":10},"right_expr":{"type":"numeric_atoms","value":2403,"base":10}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1114,"base":10},"right_expr":{"type":"numeric_atoms","value":7398,"base":10}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3357,"base":10},"right_expr":{"type":"numeric_atoms","value":1322,"base":10}}}}},"used_operators":["xUx7qlDO4z","QDVgd2eftb","GODebY97qR","oWn0xqSxBt","Ez1Nq5fNfI","k1SHOSEABc","12rbrZMWeM","s3Fd5m9Dh2"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9210","layer":4},{"info":"compute unary expreesion, input=9210, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=7794","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=7794, right_input=2403, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1234, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=1114","layer":4},{"info":"number node, value=7398","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=7398, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5457","layer":3},{"info":"number node, value=3357","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=3357, right_input=1322, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=7589","layer":3},{"info":"compute binary expreesion, left_input=-5457, right_input=7589, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊙↵-⊺⇮9210)⪟⇏⊺⇮7794⪬⊺⇮2403)⊮⊟↴(⊺⇮1114⋳⪒⊺⇮7398)⨂≜(⊺⇮3357⊬⨰⊺⇮1322)⫑%∭=NaN","reverse_text":"NaN=((⊙↵-⊺⇮9210)⪟⇏⊺⇮7794⪬⊺⇮2403)⊮⊟↴(⊺⇮1114⋳⪒⊺⇮7398)⨂≜(⊺⇮3357⊬⨰⊺⇮1322)⫑%∭","cot":[{"info":"⊙↵-⊺⇮9210=⊺⇮-1","layer":3},{"info":"⊺⇮7794⪬⊺⇮2403=⊺⇮1234","layer":3},{"info":"⊺⇮-1⪟⇏⊺⇮1234=⊺⇮0","layer":2},{"info":"⊺⇮1114⋳⪒⊺⇮7398=⊺⇮-5457","layer":3},{"info":"⊺⇮3357⊬⨰⊺⇮1322=⊺⇮7589","layer":3},{"info":"⊺⇮-5457⨂≜⊺⇮7589=NaN","layer":2},{"info":"⊺⇮0⊮⊟↴NaN=NaN","layer":1},{"info":"NaN⫑%∭=NaN","layer":0}]}
{"id":319,"expression_no_base_symbol":"≘((($1154$↳≱$4697$)⋐⇩⊬)⨟⋌⩍(⨈⪑($1603$⋓$1305$)))","expression":"≘(((⊺⇮1154↳≱⊺⇮4697)⋐⇩⊬)⨟⋌⩍(⨈⪑(⊺⇮1603⋓⊺⇮1305)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3697,"operation_count":6,"complexity_ratio":616.1666666666666,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1154,"base":10},"right_expr":{"type":"numeric_atoms","value":4697,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1603,"base":10},"right_expr":{"type":"numeric_atoms","value":1305,"base":10}}}}},"used_operators":["tcjXMdvYtA","rGHVDoGpnC","JuuLT1NoCs","JwTKLfZU96","mp94q5OcYM","T2fj7uvVaJ"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Tcnh7f0tEr","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⊺⇮-262","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"number node, value=4697","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=4697, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=0","layer":2},{"info":"number node, value=1603","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=1305, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=-262","layer":0}],"base":10,"result_base":10,"text":"≘(((⊺⇮1154↳≱⊺⇮4697)⋐⇩⊬)⨟⋌⩍(⨈⪑(⊺⇮1603⋓⊺⇮1305)))=⊺⇮-262","reverse_text":"⊺⇮-262=≘(((⊺⇮1154↳≱⊺⇮4697)⋐⇩⊬)⨟⋌⩍(⨈⪑(⊺⇮1603⋓⊺⇮1305)))","cot":[{"info":"⊺⇮1154↳≱⊺⇮4697=⊺⇮0","layer":3},{"info":"⊺⇮0⋐⇩⊬=⊺⇮0","layer":2},{"info":"⊺⇮1603⋓⊺⇮1305=⊺⇮0","layer":3},{"info":"⨈⪑⊺⇮0=⊺⇮868","layer":2},{"info":"⊺⇮0⨟⋌⩍⊺⇮868=⊺⇮0","layer":1},{"info":"≘⊺⇮0=⊺⇮-262","layer":0}]}
{"id":320,"expression_no_base_symbol":"(⩏⊷≩(≤/$2044$⨐$1521$))⇴(($3612$⪨⊡$3385$)⨕⋳)⨔⇊($4189$⫘$2477$)⇂≾⫗(⪛⨧$1917$)","expression":"(⩏⊷≩(≤/⊺⇮2044⨐⊺⇮1521))⇴((⊺⇮3612⪨⊡⊺⇮3385)⨕⋳)⨔⇊(⊺⇮4189⫘⊺⇮2477)⇂≾⫗(⪛⨧⊺⇮1917)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4637,"operation_count":10,"complexity_ratio":463.7,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2044,"base":10},"right_expr":{"type":"numeric_atoms","value":1521,"base":10}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3612,"base":10},"right_expr":{"type":"numeric_atoms","value":3385,"base":10}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4189,"base":10},"right_expr":{"type":"numeric_atoms","value":2477,"base":10}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1917,"base":10}}}}},"used_operators":["4JB6nKBMSY","uOZ1tnYMDE","eLAdDNolq6","Noe24qw2ks","JclMnS0uGI","4X4GscPmMf","kuIXHzHcAH","aBQ6xLxuTc","48vC8HMD2b","6NJAcO2OWT"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","23Mk6UjR3U","12rbrZMWeM","rysDP5nf3Z","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"⊺⇮-1160806","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2044","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=1521, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4088","layer":3},{"info":"compute unary expreesion, input=-4088, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=4572","layer":2},{"info":"compute unary expreesion, input=4572, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=8843","layer":1},{"info":"number node, value=3612","layer":4},{"info":"number node, value=3385","layer":4},{"info":"compute binary expreesion, left_input=3612, right_input=3385, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-101594","layer":2},{"info":"number node, value=4189","layer":4},{"info":"number node, value=2477","layer":4},{"info":"compute binary expreesion, left_input=4189, right_input=2477, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4930669","layer":3},{"info":"number node, value=1917","layer":4},{"info":"compute unary expreesion, input=1917, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5235","layer":3},{"info":"compute binary expreesion, left_input=4930669, right_input=5235, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=-101594, right_input=-676, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-606739","layer":1},{"info":"compute binary expreesion, left_input=8843, right_input=-606739, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-1160806","layer":0}],"base":10,"result_base":10,"text":"(⩏⊷≩(≤/⊺⇮2044⨐⊺⇮1521))⇴((⊺⇮3612⪨⊡⊺⇮3385)⨕⋳)⨔⇊(⊺⇮4189⫘⊺⇮2477)⇂≾⫗(⪛⨧⊺⇮1917)=⊺⇮-1160806","reverse_text":"⊺⇮-1160806=(⩏⊷≩(≤/⊺⇮2044⨐⊺⇮1521))⇴((⊺⇮3612⪨⊡⊺⇮3385)⨕⋳)⨔⇊(⊺⇮4189⫘⊺⇮2477)⇂≾⫗(⪛⨧⊺⇮1917)","cot":[{"info":"⊺⇮2044⨐⊺⇮1521=⊺⇮-4088","layer":3},{"info":"≤/⊺⇮-4088=⊺⇮4572","layer":2},{"info":"⩏⊷≩⊺⇮4572=⊺⇮8843","layer":1},{"info":"⊺⇮3612⪨⊡⊺⇮3385=⊺⇮0","layer":3},{"info":"⊺⇮0⨕⋳=⊺⇮-101594","layer":2},{"info":"⊺⇮4189⫘⊺⇮2477=⊺⇮4930669","layer":3},{"info":"⪛⨧⊺⇮1917=⊺⇮5235","layer":3},{"info":"⊺⇮4930669⇂≾⫗⊺⇮5235=⊺⇮-676","layer":2},{"info":"⊺⇮-101594⨔⇊⊺⇮-676=⊺⇮-606739","layer":1},{"info":"⊺⇮8843⇴⊺⇮-606739=⊺⇮-1160806","layer":0}]}
{"id":321,"expression_no_base_symbol":"⇾⩊⇾(($4625$⪃↞⩐)⫲≸⪮$1387$⋥⋵⩄$1817$⪇≇⋚(($5439$↛⩡⫤)⊚⫡⫭))","expression":"⇾⩊⇾((⊺⇮4625⪃↞⩐)⫲≸⪮⊺⇮1387⋥⋵⩄⊺⇮1817⪇≇⋚((⊺⇮5439↛⩡⫤)⊚⫡⫭))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":45286,"operation_count":7,"complexity_ratio":6469.428571428572,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":4625,"base":10}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1387,"base":10},"right_expr":{"type":"numeric_atoms","value":1817,"base":10}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5439,"base":10}}}}},"used_operators":["bx9Z9DAK5y","3sJ7IOPOlU","P3lXMJvFrc","grXIztHqDa","7t3wd0Fuz7","SpZWOsLKZJ","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⊺⇮-6486","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4625","layer":4},{"info":"compute unary expreesion, input=4625, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=28056","layer":3},{"info":"number node, value=1387","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=1817, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=28056, right_input=113, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=28056","layer":2},{"info":"number node, value=5439","layer":4},{"info":"compute unary expreesion, input=5439, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-817378","layer":3},{"info":"compute unary expreesion, input=-817378, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=4904968","layer":2},{"info":"compute binary expreesion, left_input=28056, right_input=4904968, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-6486","layer":0}],"base":10,"result_base":10,"text":"⇾⩊⇾((⊺⇮4625⪃↞⩐)⫲≸⪮⊺⇮1387⋥⋵⩄⊺⇮1817⪇≇⋚((⊺⇮5439↛⩡⫤)⊚⫡⫭))=⊺⇮-6486","reverse_text":"⊺⇮-6486=⇾⩊⇾((⊺⇮4625⪃↞⩐)⫲≸⪮⊺⇮1387⋥⋵⩄⊺⇮1817⪇≇⋚((⊺⇮5439↛⩡⫤)⊚⫡⫭))","cot":[{"info":"⊺⇮4625⪃↞⩐=⊺⇮28056","layer":3},{"info":"⊺⇮1387⋥⋵⩄⊺⇮1817=⊺⇮113","layer":3},{"info":"⊺⇮28056⫲≸⪮⊺⇮113=⊺⇮28056","layer":2},{"info":"⊺⇮5439↛⩡⫤=⊺⇮-817378","layer":3},{"info":"⊺⇮-817378⊚⫡⫭=⊺⇮4904968","layer":2},{"info":"⊺⇮28056⪇≇⋚⊺⇮4904968=⊺⇮0","layer":1},{"info":"⇾⩊⇾⊺⇮0=⊺⇮-6486","layer":0}]}
{"id":322,"expression_no_base_symbol":"⨴⫝($7031$∇⊂⋱$5222$%$5700$⨟⋌⩍$7812$)⨿($2843$⊉↱≁$7244$⪍↜⋙$1958$⨟⋌⩍$3757$)","expression":"⨴⫝(⊺⇮7031∇⊂⋱⊺⇮5222%⊺⇮5700⨟⋌⩍⊺⇮7812)⨿(⊺⇮2843⊉↱≁⊺⇮7244⪍↜⋙⊺⇮1958⨟⋌⩍⊺⇮3757)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2098,"operation_count":8,"complexity_ratio":262.25,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7031,"base":10},"right_expr":{"type":"numeric_atoms","value":5222,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5700,"base":10},"right_expr":{"type":"numeric_atoms","value":7812,"base":10}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2843,"base":10},"right_expr":{"type":"numeric_atoms","value":7244,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1958,"base":10},"right_expr":{"type":"numeric_atoms","value":3757,"base":10}}}}},"used_operators":["SVb2v531z1","abYXlopdE0","k8jYdgA6NY","nhYeJWJD5X","rGHVDoGpnC","L05ObWFQCd","w2P8NbNXyL"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Tcnh7f0tEr","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⊺⇮2828198","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7031","layer":4},{"info":"number node, value=5222","layer":4},{"info":"compute binary expreesion, left_input=7031, right_input=5222, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13516","layer":3},{"info":"number node, value=5700","layer":4},{"info":"number node, value=7812","layer":4},{"info":"compute binary expreesion, left_input=5700, right_input=7812, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13516, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2843","layer":4},{"info":"number node, value=7244","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=7244, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-16148","layer":3},{"info":"number node, value=1958","layer":4},{"info":"number node, value=3757","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=3757, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16148, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":0}],"base":10,"result_base":10,"text":"⨴⫝(⊺⇮7031∇⊂⋱⊺⇮5222%⊺⇮5700⨟⋌⩍⊺⇮7812)⨿(⊺⇮2843⊉↱≁⊺⇮7244⪍↜⋙⊺⇮1958⨟⋌⩍⊺⇮3757)=⊺⇮2828198","reverse_text":"⊺⇮2828198=⨴⫝(⊺⇮7031∇⊂⋱⊺⇮5222%⊺⇮5700⨟⋌⩍⊺⇮7812)⨿(⊺⇮2843⊉↱≁⊺⇮7244⪍↜⋙⊺⇮1958⨟⋌⩍⊺⇮3757)","cot":[{"info":"⊺⇮7031∇⊂⋱⊺⇮5222=⊺⇮13516","layer":3},{"info":"⊺⇮5700⨟⋌⩍⊺⇮7812=NaN","layer":3},{"info":"⊺⇮13516%NaN=NaN","layer":2},{"info":"⊺⇮2843⊉↱≁⊺⇮7244=⊺⇮-16148","layer":3},{"info":"⊺⇮1958⨟⋌⩍⊺⇮3757=NaN","layer":3},{"info":"⊺⇮-16148⪍↜⋙NaN=NaN","layer":2},{"info":"NaN⨿NaN=⊺⇮67","layer":1},{"info":"⨴⫝⊺⇮67=⊺⇮2828198","layer":0}]}
{"id":323,"expression_no_base_symbol":"($2791$⫸⇳$4150$⫡⨏$2702$⫃⨇$3946$⨵⪆($3374$⊱⇼⊻$2612$)≁↽≥($4979$-$5342$))⊮⊟↴((($1943$⇔⨋)⇽⩪)≀⩗∶(≇⪴$3886$)⪚(∷≠$1121$))","expression":"(⊺⇮2791⫸⇳⊺⇮4150⫡⨏⊺⇮2702⫃⨇⊺⇮3946⨵⪆(⊺⇮3374⊱⇼⊻⊺⇮2612)≁↽≥(⊺⇮4979-⊺⇮5342))⊮⊟↴(((⊺⇮1943⇔⨋)⇽⩪)≀⩗∶(≇⪴⊺⇮3886)⪚(∷≠⊺⇮1121))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":567,"operation_count":14,"complexity_ratio":40.5,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2791,"base":10},"right_expr":{"type":"numeric_atoms","value":4150,"base":10}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2702,"base":10},"right_expr":{"type":"numeric_atoms","value":3946,"base":10}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3374,"base":10},"right_expr":{"type":"numeric_atoms","value":2612,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4979,"base":10},"right_expr":{"type":"numeric_atoms","value":5342,"base":10}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1943,"base":10}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3886,"base":10}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1121,"base":10}}}}},"used_operators":["QDVgd2eftb","2DQ55sFlQl","QMFrweE19q","gx7XJ7hdpj","09Ly4LVMIf","ncHt1X6cMc","FyVja0WsTP","rysDP5nf3Z","8INZBEW696","FonBHBYJbU","uBihLCJcMX","HrjLwUk87U","zoVPnxeHJ3","QiR2Oyf5Xj"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","7j4O788W3g"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2791","layer":4},{"info":"number node, value=4150","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=4150, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2702","layer":4},{"info":"number node, value=3946","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=3946, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-15816","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-15816, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-30849","layer":2},{"info":"number node, value=3374","layer":4},{"info":"number node, value=2612","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=2612, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=4979","layer":4},{"info":"number node, value=5342","layer":4},{"info":"compute binary expreesion, left_input=4979, right_input=5342, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-363","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-363, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute binary expreesion, left_input=-30849, right_input=196, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1943","layer":4},{"info":"compute unary expreesion, input=1943, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=10588","layer":3},{"info":"compute unary expreesion, input=10588, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=21698","layer":2},{"info":"number node, value=3886","layer":4},{"info":"compute unary expreesion, input=3886, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-10318","layer":3},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1121","layer":3},{"info":"compute binary expreesion, left_input=-10318, right_input=1121, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=19760","layer":2},{"info":"compute binary expreesion, left_input=21698, right_input=19760, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2791⫸⇳⊺⇮4150⫡⨏⊺⇮2702⫃⨇⊺⇮3946⨵⪆(⊺⇮3374⊱⇼⊻⊺⇮2612)≁↽≥(⊺⇮4979-⊺⇮5342))⊮⊟↴(((⊺⇮1943⇔⨋)⇽⩪)≀⩗∶(≇⪴⊺⇮3886)⪚(∷≠⊺⇮1121))=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮2791⫸⇳⊺⇮4150⫡⨏⊺⇮2702⫃⨇⊺⇮3946⨵⪆(⊺⇮3374⊱⇼⊻⊺⇮2612)≁↽≥(⊺⇮4979-⊺⇮5342))⊮⊟↴(((⊺⇮1943⇔⨋)⇽⩪)≀⩗∶(≇⪴⊺⇮3886)⪚(∷≠⊺⇮1121))","cot":[{"info":"⊺⇮2791⫸⇳⊺⇮4150=⊺⇮0","layer":3},{"info":"⊺⇮2702⫃⨇⊺⇮3946=⊺⇮-15816","layer":3},{"info":"⊺⇮0⫡⨏⊺⇮-15816=⊺⇮-30849","layer":2},{"info":"⊺⇮3374⊱⇼⊻⊺⇮2612=⊺⇮434","layer":3},{"info":"⊺⇮4979-⊺⇮5342=⊺⇮-363","layer":3},{"info":"⊺⇮434≁↽≥⊺⇮-363=⊺⇮196","layer":2},{"info":"⊺⇮-30849⨵⪆⊺⇮196=⊺⇮160","layer":1},{"info":"⊺⇮1943⇔⨋=⊺⇮10588","layer":3},{"info":"⊺⇮10588⇽⩪=⊺⇮21698","layer":2},{"info":"≇⪴⊺⇮3886=⊺⇮-10318","layer":3},{"info":"∷≠⊺⇮1121=⊺⇮1121","layer":3},{"info":"⊺⇮-10318⪚⊺⇮1121=⊺⇮19760","layer":2},{"info":"⊺⇮21698≀⩗∶⊺⇮19760=⊺⇮0","layer":1},{"info":"⊺⇮160⊮⊟↴⊺⇮0=⊺⇮0","layer":0}]}
{"id":324,"expression_no_base_symbol":"≔((≑⋹$1680$)⨎(∑⇻≧$2462$)⋳⪒($1013$≃$4104$)≦↸($1478$⊝⪿⪼$5603$))","expression":"≔((≑⋹⊺⇮1680)⨎(∑⇻≧⊺⇮2462)⋳⪒(⊺⇮1013≃⊺⇮4104)≦↸(⊺⇮1478⊝⪿⪼⊺⇮5603))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":213,"operation_count":8,"complexity_ratio":26.625,"tree":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1680,"base":10}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2462,"base":10}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1013,"base":10},"right_expr":{"type":"numeric_atoms","value":4104,"base":10}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1478,"base":10},"right_expr":{"type":"numeric_atoms","value":5603,"base":10}}}}},"used_operators":["8FLs4eVsLt","12rbrZMWeM","rJVOvQCfKK","6B9nyZLogK","l1M9WJ3V7u","RygbFNSyEJ","YbVcJGFEVW","3Oe9XWJUTD"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⊺⇮-1492450","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=2462","layer":4},{"info":"compute unary expreesion, input=2462, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-852, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-852","layer":2},{"info":"number node, value=1013","layer":4},{"info":"number node, value=4104","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=4104, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4092","layer":3},{"info":"number node, value=1478","layer":4},{"info":"number node, value=5603","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=5603, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=32102","layer":3},{"info":"compute binary expreesion, left_input=-4092, right_input=32102, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-55339","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=-55339, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=53348","layer":1},{"info":"compute unary expreesion, input=53348, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-1492450","layer":0}],"base":10,"result_base":10,"text":"≔((≑⋹⊺⇮1680)⨎(∑⇻≧⊺⇮2462)⋳⪒(⊺⇮1013≃⊺⇮4104)≦↸(⊺⇮1478⊝⪿⪼⊺⇮5603))=⊺⇮-1492450","reverse_text":"⊺⇮-1492450=≔((≑⋹⊺⇮1680)⨎(∑⇻≧⊺⇮2462)⋳⪒(⊺⇮1013≃⊺⇮4104)≦↸(⊺⇮1478⊝⪿⪼⊺⇮5603))","cot":[{"info":"≑⋹⊺⇮1680=⊺⇮1650","layer":3},{"info":"∑⇻≧⊺⇮2462=⊺⇮-852","layer":3},{"info":"⊺⇮1650⨎⊺⇮-852=⊺⇮-852","layer":2},{"info":"⊺⇮1013≃⊺⇮4104=⊺⇮-4092","layer":3},{"info":"⊺⇮1478⊝⪿⪼⊺⇮5603=⊺⇮32102","layer":3},{"info":"⊺⇮-4092≦↸⊺⇮32102=⊺⇮-55339","layer":2},{"info":"⊺⇮-852⋳⪒⊺⇮-55339=⊺⇮53348","layer":1},{"info":"≔⊺⇮53348=⊺⇮-1492450","layer":0}]}
{"id":325,"expression_no_base_symbol":"⪨⨬(≦∁(⇘$1969$)⩘(⇖⫷⫕$2088$))","expression":"⪨⨬(≦∁(⇘⊺⇮1969)⩘(⇖⫷⫕⊺⇮2088))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4872,"operation_count":5,"complexity_ratio":974.4,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1969,"base":10}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2088,"base":10}}}}},"used_operators":["5obUd6DV38","9ICcGScMcE","cHh1gJQ2o6","MGuIdZPyUC","UHmRx3INFg"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"⊺⇮-526","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1969","layer":4},{"info":"compute unary expreesion, input=1969, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=112522","layer":3},{"info":"number node, value=2088","layer":4},{"info":"compute unary expreesion, input=2088, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=112522, right_input=2822, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2240","layer":1},{"info":"compute unary expreesion, input=-2240, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":10,"result_base":10,"text":"⪨⨬(≦∁(⇘⊺⇮1969)⩘(⇖⫷⫕⊺⇮2088))=⊺⇮-526","reverse_text":"⊺⇮-526=⪨⨬(≦∁(⇘⊺⇮1969)⩘(⇖⫷⫕⊺⇮2088))","cot":[{"info":"⇘⊺⇮1969=⊺⇮112522","layer":3},{"info":"⇖⫷⫕⊺⇮2088=⊺⇮2822","layer":3},{"info":"⊺⇮112522⩘⊺⇮2822=⊺⇮160","layer":2},{"info":"≦∁⊺⇮160=⊺⇮-2240","layer":1},{"info":"⪨⨬⊺⇮-2240=⊺⇮-526","layer":0}]}
{"id":326,"expression_no_base_symbol":"(⊽($5618$⨂≜$3127$⩘($6971$⪄$1564$)))∣((⫵↿$1062$⨿$1512$)⪄$2461$⩼⇪↪$1365$⨫⇇↔($3731$⫚↹⊑$1099$))","expression":"(⊽(⊺⇮5618⨂≜⊺⇮3127⩘(⊺⇮6971⪄⊺⇮1564)))∣((⫵↿⊺⇮1062⨿⊺⇮1512)⪄⊺⇮2461⩼⇪↪⊺⇮1365⨫⇇↔(⊺⇮3731⫚↹⊑⊺⇮1099))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6218,"operation_count":11,"complexity_ratio":565.2727272727273,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5618,"base":10},"right_expr":{"type":"numeric_atoms","value":3127,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6971,"base":10},"right_expr":{"type":"numeric_atoms","value":1564,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1062,"base":10},"right_expr":{"type":"numeric_atoms","value":1512,"base":10}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2461,"base":10},"right_expr":{"type":"numeric_atoms","value":1365,"base":10}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3731,"base":10},"right_expr":{"type":"numeric_atoms","value":1099,"base":10}}}}},"used_operators":["PPChnnnBFF","QxG7OkqoLX","cHh1gJQ2o6","k1SHOSEABc","SUmda5xLS4","ivGwdmUAux","abYXlopdE0","LXhwmt4mBO","ocnLzx9CaJ","dfKe02y8D2"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⊺⇮-885","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5618","layer":4},{"info":"number node, value=3127","layer":4},{"info":"compute binary expreesion, left_input=5618, right_input=3127, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=6971","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=6971, right_input=1564, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1034053","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1034053, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1842","layer":1},{"info":"number node, value=1062","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1512, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=2461","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=1365, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-5416","layer":3},{"info":"number node, value=3731","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=3731, right_input=1099, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-5416, right_input=-447, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=-527, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-14257","layer":1},{"info":"compute binary expreesion, left_input=1842, right_input=-14257, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-885","layer":0}],"base":10,"result_base":10,"text":"(⊽(⊺⇮5618⨂≜⊺⇮3127⩘(⊺⇮6971⪄⊺⇮1564)))∣((⫵↿⊺⇮1062⨿⊺⇮1512)⪄⊺⇮2461⩼⇪↪⊺⇮1365⨫⇇↔(⊺⇮3731⫚↹⊑⊺⇮1099))=⊺⇮-885","reverse_text":"⊺⇮-885=(⊽(⊺⇮5618⨂≜⊺⇮3127⩘(⊺⇮6971⪄⊺⇮1564)))∣((⫵↿⊺⇮1062⨿⊺⇮1512)⪄⊺⇮2461⩼⇪↪⊺⇮1365⨫⇇↔(⊺⇮3731⫚↹⊑⊺⇮1099))","cot":[{"info":"⊺⇮5618⨂≜⊺⇮3127=NaN","layer":3},{"info":"⊺⇮6971⪄⊺⇮1564=⊺⇮-1034053","layer":3},{"info":"NaN⩘⊺⇮-1034053=⊺⇮160","layer":2},{"info":"⊽⊺⇮160=⊺⇮1842","layer":1},{"info":"⊺⇮1062⨿⊺⇮1512=⊺⇮-319","layer":3},{"info":"⫵↿⊺⇮-319=⊺⇮137","layer":2},{"info":"⊺⇮2461⩼⇪↪⊺⇮1365=⊺⇮-5416","layer":3},{"info":"⊺⇮3731⫚↹⊑⊺⇮1099=⊺⇮-447","layer":3},{"info":"⊺⇮-5416⨫⇇↔⊺⇮-447=⊺⇮-527","layer":2},{"info":"⊺⇮137⪄⊺⇮-527=⊺⇮-14257","layer":1},{"info":"⊺⇮1842∣⊺⇮-14257=⊺⇮-885","layer":0}]}
{"id":327,"expression_no_base_symbol":"∂⩏⊆(⋎⨆($1790$⨸⪁$9349$⨵⪆$5038$⇌⫙⪟$2351$))","expression":"∂⩏⊆(⋎⨆(⊺⇮1790⨸⪁⊺⇮9349⨵⪆⊺⇮5038⇌⫙⪟⊺⇮2351))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":45,"operation_count":5,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1790,"base":10},"right_expr":{"type":"numeric_atoms","value":9349,"base":10}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":5038,"base":10},"right_expr":{"type":"numeric_atoms","value":2351,"base":10}}}}},"used_operators":["8WDwsbhb0R","E64sFOc4tB","2DQ55sFlQl","g55IO6H4Gj","AFVx7xoS7T"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⊺⇮484","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1790","layer":4},{"info":"number node, value=9349","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=9349, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22278","layer":3},{"info":"number node, value=5038","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=5038, right_input=2351, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=22278, right_input=113, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=484","layer":0}],"base":10,"result_base":10,"text":"∂⩏⊆(⋎⨆(⊺⇮1790⨸⪁⊺⇮9349⨵⪆⊺⇮5038⇌⫙⪟⊺⇮2351))=⊺⇮484","reverse_text":"⊺⇮484=∂⩏⊆(⋎⨆(⊺⇮1790⨸⪁⊺⇮9349⨵⪆⊺⇮5038⇌⫙⪟⊺⇮2351))","cot":[{"info":"⊺⇮1790⨸⪁⊺⇮9349=⊺⇮22278","layer":3},{"info":"⊺⇮5038⇌⫙⪟⊺⇮2351=⊺⇮113","layer":3},{"info":"⊺⇮22278⨵⪆⊺⇮113=⊺⇮160","layer":2},{"info":"⋎⨆⊺⇮160=⊺⇮0","layer":1},{"info":"∂⩏⊆⊺⇮0=⊺⇮484","layer":0}]}
{"id":328,"expression_no_base_symbol":"⇘(($1527$⫡⨏$1954$)⪄$1081$⋥≓≎$2031$)≁($1055$⪎↠$3976$∣(⫛⫱⨽$1591$))","expression":"⇘((⊺⇮1527⫡⨏⊺⇮1954)⪄⊺⇮1081⋥≓≎⊺⇮2031)≁(⊺⇮1055⪎↠⊺⇮3976∣(⫛⫱⨽⊺⇮1591))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13514,"operation_count":8,"complexity_ratio":1689.25,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1527,"base":10},"right_expr":{"type":"numeric_atoms","value":1954,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1081,"base":10},"right_expr":{"type":"numeric_atoms","value":2031,"base":10}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1055,"base":10},"right_expr":{"type":"numeric_atoms","value":3976,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1591,"base":10}}}}},"used_operators":["MGuIdZPyUC","8N2wDY1A35","SUmda5xLS4","QMFrweE19q","Qy55tPpLXF","PPChnnnBFF","3tVxb0NHM4","DlLNRPXxWL"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rGHVDoGpnC"],"result":"⊺⇮350002","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1527","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=1954, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12326","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=2031","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=2031, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3014","layer":3},{"info":"compute binary expreesion, left_input=12326, right_input=3014, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1832393","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=3976, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1591","layer":4},{"info":"compute unary expreesion, input=1591, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=797","layer":2},{"info":"compute binary expreesion, left_input=-1832393, right_input=797, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=5927","layer":1},{"info":"compute unary expreesion, input=5927, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=350002","layer":0}],"base":10,"result_base":10,"text":"⇘((⊺⇮1527⫡⨏⊺⇮1954)⪄⊺⇮1081⋥≓≎⊺⇮2031)≁(⊺⇮1055⪎↠⊺⇮3976∣(⫛⫱⨽⊺⇮1591))=⊺⇮350002","reverse_text":"⊺⇮350002=⇘((⊺⇮1527⫡⨏⊺⇮1954)⪄⊺⇮1081⋥≓≎⊺⇮2031)≁(⊺⇮1055⪎↠⊺⇮3976∣(⫛⫱⨽⊺⇮1591))","cot":[{"info":"⊺⇮1527⫡⨏⊺⇮1954=⊺⇮12326","layer":3},{"info":"⊺⇮1081⋥≓≎⊺⇮2031=⊺⇮3014","layer":3},{"info":"⊺⇮12326⪄⊺⇮3014=⊺⇮-1832393","layer":2},{"info":"⊺⇮1055⪎↠⊺⇮3976=⊺⇮160","layer":3},{"info":"⫛⫱⨽⊺⇮1591=⊺⇮0","layer":3},{"info":"⊺⇮160∣⊺⇮0=⊺⇮797","layer":2},{"info":"⊺⇮-1832393≁⊺⇮797=⊺⇮5927","layer":1},{"info":"⇘⊺⇮5927=⊺⇮350002","layer":0}]}
{"id":329,"expression_no_base_symbol":"(($1755$⨽$6749$)⨫⇇↔($5644$⇌⫙⪟$3117$))∺≝⩲($1152$⨸$1716$≠≀($1397$⊉≛↸$1151$))⫔⩽⩺(↴⪽⋼$1071$↳∿⪆$3015$)≚⊃≕((⊢≑≆$4806$)⊔(⊽$1529$))","expression":"((⊺⇮1755⨽⊺⇮6749)⨫⇇↔(⊺⇮5644⇌⫙⪟⊺⇮3117))∺≝⩲(⊺⇮1152⨸⊺⇮1716≠≀(⊺⇮1397⊉≛↸⊺⇮1151))⫔⩽⩺(↴⪽⋼⊺⇮1071↳∿⪆⊺⇮3015)≚⊃≕((⊢≑≆⊺⇮4806)⊔(⊽⊺⇮1529))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11747,"operation_count":14,"complexity_ratio":839.0714285714286,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1755,"base":10},"right_expr":{"type":"numeric_atoms","value":6749,"base":10}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":5644,"base":10},"right_expr":{"type":"numeric_atoms","value":3117,"base":10}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1152,"base":10},"right_expr":{"type":"numeric_atoms","value":1716,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1397,"base":10},"right_expr":{"type":"numeric_atoms","value":1151,"base":10}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1071,"base":10},"right_expr":{"type":"numeric_atoms","value":3015,"base":10}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":4806,"base":10}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1529,"base":10}}}}},"used_operators":["i9eR4S00cU","KPf6cnQVty","LXhwmt4mBO","8HhzD0ZcuI","AFVx7xoS7T","IwW236VD4Y","KmoU8R5UQR","DZ8iAZOCBD","Bmrmz2XGnR","5TUYCnJO6w","Cw4SuJJGHO","E4l6HwMY31","27wFxooxGf","QxG7OkqoLX"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1755","layer":4},{"info":"number node, value=6749","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=6749, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9259008","layer":3},{"info":"number node, value=5644","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=5644, right_input=3117, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-9259008, right_input=113, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1152","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=1716, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2304","layer":3},{"info":"number node, value=1397","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=1151, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2794","layer":3},{"info":"compute binary expreesion, left_input=2304, right_input=2794, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4302","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-4302, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1071","layer":4},{"info":"number node, value=3015","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3015, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":2},{"info":"number node, value=4806","layer":4},{"info":"compute unary expreesion, input=4806, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=19676","layer":3},{"info":"number node, value=1529","layer":4},{"info":"compute unary expreesion, input=1529, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4580","layer":3},{"info":"compute binary expreesion, left_input=19676, right_input=4580, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=59852","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=59852, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1755⨽⊺⇮6749)⨫⇇↔(⊺⇮5644⇌⫙⪟⊺⇮3117))∺≝⩲(⊺⇮1152⨸⊺⇮1716≠≀(⊺⇮1397⊉≛↸⊺⇮1151))⫔⩽⩺(↴⪽⋼⊺⇮1071↳∿⪆⊺⇮3015)≚⊃≕((⊢≑≆⊺⇮4806)⊔(⊽⊺⇮1529))=NaN","reverse_text":"NaN=((⊺⇮1755⨽⊺⇮6749)⨫⇇↔(⊺⇮5644⇌⫙⪟⊺⇮3117))∺≝⩲(⊺⇮1152⨸⊺⇮1716≠≀(⊺⇮1397⊉≛↸⊺⇮1151))⫔⩽⩺(↴⪽⋼⊺⇮1071↳∿⪆⊺⇮3015)≚⊃≕((⊢≑≆⊺⇮4806)⊔(⊽⊺⇮1529))","cot":[{"info":"⊺⇮1755⨽⊺⇮6749=⊺⇮-9259008","layer":3},{"info":"⊺⇮5644⇌⫙⪟⊺⇮3117=⊺⇮113","layer":3},{"info":"⊺⇮-9259008⨫⇇↔⊺⇮113=⊺⇮-527","layer":2},{"info":"⊺⇮1152⨸⊺⇮1716=⊺⇮2304","layer":3},{"info":"⊺⇮1397⊉≛↸⊺⇮1151=⊺⇮2794","layer":3},{"info":"⊺⇮2304≠≀⊺⇮2794=⊺⇮-4302","layer":2},{"info":"⊺⇮-527∺≝⩲⊺⇮-4302=⊺⇮160","layer":1},{"info":"⊺⇮1071↳∿⪆⊺⇮3015=NaN","layer":3},{"info":"↴⪽⋼NaN=NaN","layer":2},{"info":"⊢≑≆⊺⇮4806=⊺⇮19676","layer":3},{"info":"⊽⊺⇮1529=⊺⇮4580","layer":3},{"info":"⊺⇮19676⊔⊺⇮4580=⊺⇮59852","layer":2},{"info":"NaN≚⊃≕⊺⇮59852=⊺⇮67","layer":1},{"info":"⊺⇮160⫔⩽⩺⊺⇮67=NaN","layer":0}]}
{"id":330,"expression_no_base_symbol":"(⫵↿($1148$⫥∨⫟$5456$*$1869$⊴$2895$))≨(∐⩳⋚($1272$⪐))⨼⩣($2634$⪛$2836$⪨⊡($2112$+$2470$))","expression":"(⫵↿(⊺⇮1148⫥∨⫟⊺⇮5456*⊺⇮1869⊴⊺⇮2895))≨(∐⩳⋚(⊺⇮1272⪐))⨼⩣(⊺⇮2634⪛⊺⇮2836⪨⊡(⊺⇮2112+⊺⇮2470))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4949,"operation_count":11,"complexity_ratio":449.90909090909093,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1148,"base":10},"right_expr":{"type":"numeric_atoms","value":5456,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1869,"base":10},"right_expr":{"type":"numeric_atoms","value":2895,"base":10}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1272,"base":10}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2634,"base":10},"right_expr":{"type":"numeric_atoms","value":2836,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2112,"base":10},"right_expr":{"type":"numeric_atoms","value":2470,"base":10}}}}},"used_operators":["0KMCeP1Jsh","ivGwdmUAux","9HNa5Wba9A","KYD54nUTWz","Nsiff2A1zJ","JxwMv5le6e","SL6IHkK8vl","eH2TOUuTDT","kuIXHzHcAH","uFcxV4UQCh","W4YGzv6Whe"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⊺⇮1106","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1148","layer":4},{"info":"number node, value=5456","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=5456, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1869","layer":4},{"info":"number node, value=2895","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=2895, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"number node, value=1272","layer":4},{"info":"compute unary expreesion, input=1272, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2544","layer":3},{"info":"compute unary expreesion, input=2544, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=365761","layer":2},{"info":"number node, value=2634","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=2634, right_input=2836, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2634","layer":3},{"info":"number node, value=2112","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=2112, right_input=2470, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4582","layer":3},{"info":"compute binary expreesion, left_input=2634, right_input=4582, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=365761, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1106","layer":0}],"base":10,"result_base":10,"text":"(⫵↿(⊺⇮1148⫥∨⫟⊺⇮5456*⊺⇮1869⊴⊺⇮2895))≨(∐⩳⋚(⊺⇮1272⪐))⨼⩣(⊺⇮2634⪛⊺⇮2836⪨⊡(⊺⇮2112+⊺⇮2470))=⊺⇮1106","reverse_text":"⊺⇮1106=(⫵↿(⊺⇮1148⫥∨⫟⊺⇮5456*⊺⇮1869⊴⊺⇮2895))≨(∐⩳⋚(⊺⇮1272⪐))⨼⩣(⊺⇮2634⪛⊺⇮2836⪨⊡(⊺⇮2112+⊺⇮2470))","cot":[{"info":"⊺⇮1148⫥∨⫟⊺⇮5456=NaN","layer":3},{"info":"⊺⇮1869⊴⊺⇮2895=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⫵↿NaN=⊺⇮137","layer":1},{"info":"⊺⇮1272⪐=⊺⇮2544","layer":3},{"info":"∐⩳⋚⊺⇮2544=⊺⇮365761","layer":2},{"info":"⊺⇮2634⪛⊺⇮2836=⊺⇮2634","layer":3},{"info":"⊺⇮2112+⊺⇮2470=⊺⇮4582","layer":3},{"info":"⊺⇮2634⪨⊡⊺⇮4582=⊺⇮0","layer":2},{"info":"⊺⇮365761⨼⩣⊺⇮0=NaN","layer":1},{"info":"⊺⇮137≨NaN=⊺⇮1106","layer":0}]}
{"id":331,"expression_no_base_symbol":"($3751$≚⊃≕$7160$⫢⨠$2680$⨻⩈⩔$1057$⇼⇔∾(∓(⨣⨃⇪$3063$)))≃((≇⪴($3624$⪒$3170$))∙⊟($3513$⋷$9398$)↬$1898$⋛$1352$)","expression":"(⊺⇮3751≚⊃≕⊺⇮7160⫢⨠⊺⇮2680⨻⩈⩔⊺⇮1057⇼⇔∾(∓(⨣⨃⇪⊺⇮3063)))≃((≇⪴(⊺⇮3624⪒⊺⇮3170))∙⊟(⊺⇮3513⋷⊺⇮9398)↬⊺⇮1898⋛⊺⇮1352)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27769,"operation_count":13,"complexity_ratio":2136.076923076923,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3751,"base":10},"right_expr":{"type":"numeric_atoms","value":7160,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2680,"base":10},"right_expr":{"type":"numeric_atoms","value":1057,"base":10}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3063,"base":10}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3624,"base":10},"right_expr":{"type":"numeric_atoms","value":3170,"base":10}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3513,"base":10},"right_expr":{"type":"numeric_atoms","value":9398,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1898,"base":10},"right_expr":{"type":"numeric_atoms","value":1352,"base":10}}}}},"used_operators":["YbVcJGFEVW","tifHPKVTfV","xlXykHWxX1","Bmrmz2XGnR","nEsXyWgiOK","OwUj7dcsQK","AcOhelriW5","SxTAKzQCrw","zoVPnxeHJ3","f6k1SAg4EE","B5M0gjZbta","23Mk6UjR3U","YbUVn0Rbpy"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⊺⇮52194","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3751","layer":4},{"info":"number node, value=7160","layer":4},{"info":"compute binary expreesion, left_input=3751, right_input=7160, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=2680","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=1057, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=13039","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=13039, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=3063","layer":4},{"info":"compute unary expreesion, input=3063, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-25947","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-25947, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-26107","layer":1},{"info":"number node, value=3624","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=3624, right_input=3170, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6794","layer":3},{"info":"compute unary expreesion, input=-6794, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-27176","layer":2},{"info":"number node, value=3513","layer":4},{"info":"number node, value=9398","layer":4},{"info":"compute binary expreesion, left_input=3513, right_input=9398, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15283","layer":3},{"info":"number node, value=1898","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=1352, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-115110","layer":3},{"info":"compute binary expreesion, left_input=15283, right_input=-115110, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-27176, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=369032","layer":1},{"info":"compute binary expreesion, left_input=-26107, right_input=369032, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=52194","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3751≚⊃≕⊺⇮7160⫢⨠⊺⇮2680⨻⩈⩔⊺⇮1057⇼⇔∾(∓(⨣⨃⇪⊺⇮3063)))≃((≇⪴(⊺⇮3624⪒⊺⇮3170))∙⊟(⊺⇮3513⋷⊺⇮9398)↬⊺⇮1898⋛⊺⇮1352)=⊺⇮52194","reverse_text":"⊺⇮52194=(⊺⇮3751≚⊃≕⊺⇮7160⫢⨠⊺⇮2680⨻⩈⩔⊺⇮1057⇼⇔∾(∓(⨣⨃⇪⊺⇮3063)))≃((≇⪴(⊺⇮3624⪒⊺⇮3170))∙⊟(⊺⇮3513⋷⊺⇮9398)↬⊺⇮1898⋛⊺⇮1352)","cot":[{"info":"⊺⇮3751≚⊃≕⊺⇮7160=⊺⇮67","layer":3},{"info":"⊺⇮2680⨻⩈⩔⊺⇮1057=⊺⇮13039","layer":3},{"info":"⊺⇮67⫢⨠⊺⇮13039=⊺⇮160","layer":2},{"info":"⨣⨃⇪⊺⇮3063=⊺⇮1405","layer":3},{"info":"∓⊺⇮1405=⊺⇮-25947","layer":2},{"info":"⊺⇮160⇼⇔∾⊺⇮-25947=⊺⇮-26107","layer":1},{"info":"⊺⇮3624⪒⊺⇮3170=⊺⇮-6794","layer":3},{"info":"≇⪴⊺⇮-6794=⊺⇮-27176","layer":2},{"info":"⊺⇮3513⋷⊺⇮9398=⊺⇮15283","layer":3},{"info":"⊺⇮1898⋛⊺⇮1352=⊺⇮-115110","layer":3},{"info":"⊺⇮15283↬⊺⇮-115110=NaN","layer":2},{"info":"⊺⇮-27176∙⊟NaN=⊺⇮369032","layer":1},{"info":"⊺⇮-26107≃⊺⇮369032=⊺⇮52194","layer":0}]}
{"id":332,"expression_no_base_symbol":"($4612$⋣⋖$7622$⩹($5090$⋫))+⪬∐(($2532$⫒⫫$3682$)⨫⇇↔($1761$⩇∃⫛$1452$))⪉⨛($1802$⪘⫢$4297$)↞⋁($2137$⫑%∭)⇄(↽≂($2672$⩘⨬⇊))","expression":"(⊺⇮4612⋣⋖⊺⇮7622⩹(⊺⇮5090⋫))+⪬∐((⊺⇮2532⫒⫫⊺⇮3682)⨫⇇↔(⊺⇮1761⩇∃⫛⊺⇮1452))⪉⨛(⊺⇮1802⪘⫢⊺⇮4297)↞⋁(⊺⇮2137⫑%∭)⇄(↽≂(⊺⇮2672⩘⨬⇊))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7538,"operation_count":14,"complexity_ratio":538.4285714285714,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4612,"base":10},"right_expr":{"type":"numeric_atoms","value":7622,"base":10}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5090,"base":10}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2532,"base":10},"right_expr":{"type":"numeric_atoms","value":3682,"base":10}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1761,"base":10},"right_expr":{"type":"numeric_atoms","value":1452,"base":10}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1802,"base":10},"right_expr":{"type":"numeric_atoms","value":4297,"base":10}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":2137,"base":10}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":2672,"base":10}}}}},"used_operators":["EWw2JM7wp4","2GS7woTJqF","2Wsdkap16l","J0M6qkBnIM","JL8yIekQnl","LXhwmt4mBO","6Ko8hGgeMq","1aApVXNlOP","3EYGwJThht","RqrPlJkxDo","oacrs7FA3X","xUx7qlDO4z","u6S6b8DprG","XXmTpEpWTW"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","tmPS8pqC7x","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4612","layer":4},{"info":"number node, value=7622","layer":4},{"info":"compute binary expreesion, left_input=4612, right_input=7622, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4612","layer":3},{"info":"number node, value=5090","layer":4},{"info":"compute unary expreesion, input=5090, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5090","layer":3},{"info":"compute binary expreesion, left_input=4612, right_input=5090, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5088","layer":2},{"info":"number node, value=2532","layer":4},{"info":"number node, value=3682","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=3682, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1761","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=1452, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=164","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=164, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=5088, right_input=-527, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-15264","layer":1},{"info":"number node, value=1802","layer":4},{"info":"number node, value=4297","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=4297, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3480","layer":3},{"info":"number node, value=2137","layer":4},{"info":"compute unary expreesion, input=2137, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3480, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=2672","layer":4},{"info":"compute unary expreesion, input=2672, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-15264, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4612⋣⋖⊺⇮7622⩹(⊺⇮5090⋫))+⪬∐((⊺⇮2532⫒⫫⊺⇮3682)⨫⇇↔(⊺⇮1761⩇∃⫛⊺⇮1452))⪉⨛(⊺⇮1802⪘⫢⊺⇮4297)↞⋁(⊺⇮2137⫑%∭)⇄(↽≂(⊺⇮2672⩘⨬⇊))=NaN","reverse_text":"NaN=(⊺⇮4612⋣⋖⊺⇮7622⩹(⊺⇮5090⋫))+⪬∐((⊺⇮2532⫒⫫⊺⇮3682)⨫⇇↔(⊺⇮1761⩇∃⫛⊺⇮1452))⪉⨛(⊺⇮1802⪘⫢⊺⇮4297)↞⋁(⊺⇮2137⫑%∭)⇄(↽≂(⊺⇮2672⩘⨬⇊))","cot":[{"info":"⊺⇮4612⋣⋖⊺⇮7622=⊺⇮4612","layer":3},{"info":"⊺⇮5090⋫=⊺⇮5090","layer":3},{"info":"⊺⇮4612⩹⊺⇮5090=⊺⇮5088","layer":2},{"info":"⊺⇮2532⫒⫫⊺⇮3682=NaN","layer":3},{"info":"⊺⇮1761⩇∃⫛⊺⇮1452=⊺⇮164","layer":3},{"info":"NaN⨫⇇↔⊺⇮164=⊺⇮-527","layer":2},{"info":"⊺⇮5088+⪬∐⊺⇮-527=⊺⇮-15264","layer":1},{"info":"⊺⇮1802⪘⫢⊺⇮4297=⊺⇮3480","layer":3},{"info":"⊺⇮2137⫑%∭=NaN","layer":3},{"info":"⊺⇮3480↞⋁NaN=NaN","layer":2},{"info":"⊺⇮2672⩘⨬⇊=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN⇄NaN=NaN","layer":1},{"info":"⊺⇮-15264⪉⨛NaN=NaN","layer":0}]}
{"id":333,"expression_no_base_symbol":"⫖→(≦∁$1925$)⫗⊷⫓($3204$⇡⇂$3900$)≎⪠(($3805$≭$7470$)⫞⩸⩒($2104$-$1614$))","expression":"⫖→(≦∁⊺⇮1925)⫗⊷⫓(⊺⇮3204⇡⇂⊺⇮3900)≎⪠((⊺⇮3805≭⊺⇮7470)⫞⩸⩒(⊺⇮2104-⊺⇮1614))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":64343,"operation_count":8,"complexity_ratio":8042.875,"tree":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1925,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3204,"base":10},"right_expr":{"type":"numeric_atoms","value":3900,"base":10}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3805,"base":10},"right_expr":{"type":"numeric_atoms","value":7470,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2104,"base":10},"right_expr":{"type":"numeric_atoms","value":1614,"base":10}}}}},"used_operators":["U4ylXWHChL","aNhz54LH3e","zashukvMKz","9ICcGScMcE","UMwdvZNt44","XGcMNugi78","rxpJgHHUmx","rysDP5nf3Z"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","AHs5Up7iyr"],"result":"⊺⇮177","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"compute unary expreesion, input=1925, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1925","layer":3},{"info":"number node, value=3204","layer":4},{"info":"number node, value=3900","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=3900, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1925, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=3805","layer":4},{"info":"number node, value=7470","layer":4},{"info":"compute binary expreesion, left_input=3805, right_input=7470, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2104","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=1614, op_id = rysDP5nf3Z binary_op_definition= 'None', output=490","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=490, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute unary expreesion, input=19558, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":10,"result_base":10,"text":"⫖→(≦∁⊺⇮1925)⫗⊷⫓(⊺⇮3204⇡⇂⊺⇮3900)≎⪠((⊺⇮3805≭⊺⇮7470)⫞⩸⩒(⊺⇮2104-⊺⇮1614))=⊺⇮177","reverse_text":"⊺⇮177=⫖→(≦∁⊺⇮1925)⫗⊷⫓(⊺⇮3204⇡⇂⊺⇮3900)≎⪠((⊺⇮3805≭⊺⇮7470)⫞⩸⩒(⊺⇮2104-⊺⇮1614))","cot":[{"info":"≦∁⊺⇮1925=⊺⇮1925","layer":3},{"info":"⊺⇮3204⇡⇂⊺⇮3900=NaN","layer":3},{"info":"⊺⇮1925⫗⊷⫓NaN=⊺⇮-134","layer":2},{"info":"⊺⇮3805≭⊺⇮7470=NaN","layer":3},{"info":"⊺⇮2104-⊺⇮1614=⊺⇮490","layer":3},{"info":"NaN⫞⩸⩒⊺⇮490=NaN","layer":2},{"info":"⊺⇮-134≎⪠NaN=⊺⇮19558","layer":1},{"info":"⫖→⊺⇮19558=⊺⇮177","layer":0}]}
{"id":334,"expression_no_base_symbol":"((($4818$⊾⪯⋞$1533$)⫑)∲⫓(⪝⪂⫅($4132$⨶)))⨳⩥⨓($4282$⊭↱$1637$⨑≵⋬$1623$⨪↰⇹$2214$)⊋≦⊧($2119$⪚$1036$⇼⇔∾(∂$2849$))","expression":"(((⊺⇮4818⊾⪯⋞⊺⇮1533)⫑)∲⫓(⪝⪂⫅(⊺⇮4132⨶)))⨳⩥⨓(⊺⇮4282⊭↱⊺⇮1637⨑≵⋬⊺⇮1623⨪↰⇹⊺⇮2214)⊋≦⊧(⊺⇮2119⪚⊺⇮1036⇼⇔∾(∂⊺⇮2849))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2055,"operation_count":13,"complexity_ratio":158.07692307692307,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4818,"base":10},"right_expr":{"type":"numeric_atoms","value":1533,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":4132,"base":10}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4282,"base":10},"right_expr":{"type":"numeric_atoms","value":1637,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1623,"base":10},"right_expr":{"type":"numeric_atoms","value":2214,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2119,"base":10},"right_expr":{"type":"numeric_atoms","value":1036,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2849,"base":10}}}}},"used_operators":["nCS4ZIUYfx","i8ToyICDmI","CgIo77xlM2","HK0tfVPux8","XTarYq4gQB","rFxw8gIMmB","oRDoc9rAEX","XnXgA4xnOs","COABgblf1C","tmPS8pqC7x","tifHPKVTfV","HrjLwUk87U","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9HNa5Wba9A","8w2t5hMYqp","f6k1SAg4EE","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⊺⇮-3787","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4818","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=4818, right_input=1533, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2640","layer":3},{"info":"compute unary expreesion, input=2640, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"number node, value=4132","layer":4},{"info":"compute unary expreesion, input=4132, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=6518","layer":3},{"info":"compute unary expreesion, input=6518, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-958146","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-958146, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3979","layer":1},{"info":"number node, value=4282","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=4282, right_input=1637, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5285","layer":3},{"info":"number node, value=1623","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=2214, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1623","layer":3},{"info":"compute binary expreesion, left_input=-5285, right_input=1623, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-36407","layer":2},{"info":"number node, value=2119","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=1036, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1810","layer":3},{"info":"number node, value=2849","layer":4},{"info":"compute unary expreesion, input=2849, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1810, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-36407, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=192, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3787","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮4818⊾⪯⋞⊺⇮1533)⫑)∲⫓(⪝⪂⫅(⊺⇮4132⨶)))⨳⩥⨓(⊺⇮4282⊭↱⊺⇮1637⨑≵⋬⊺⇮1623⨪↰⇹⊺⇮2214)⊋≦⊧(⊺⇮2119⪚⊺⇮1036⇼⇔∾(∂⊺⇮2849))=⊺⇮-3787","reverse_text":"⊺⇮-3787=(((⊺⇮4818⊾⪯⋞⊺⇮1533)⫑)∲⫓(⪝⪂⫅(⊺⇮4132⨶)))⨳⩥⨓(⊺⇮4282⊭↱⊺⇮1637⨑≵⋬⊺⇮1623⨪↰⇹⊺⇮2214)⊋≦⊧(⊺⇮2119⪚⊺⇮1036⇼⇔∾(∂⊺⇮2849))","cot":[{"info":"⊺⇮4818⊾⪯⋞⊺⇮1533=⊺⇮2640","layer":3},{"info":"⊺⇮2640⫑=⊺⇮3979","layer":2},{"info":"⊺⇮4132⨶=⊺⇮6518","layer":3},{"info":"⪝⪂⫅⊺⇮6518=⊺⇮-958146","layer":2},{"info":"⊺⇮3979∲⫓⊺⇮-958146=⊺⇮3979","layer":1},{"info":"⊺⇮4282⊭↱⊺⇮1637=⊺⇮-5285","layer":3},{"info":"⊺⇮1623⨪↰⇹⊺⇮2214=⊺⇮1623","layer":3},{"info":"⊺⇮-5285⨑≵⋬⊺⇮1623=⊺⇮-36407","layer":2},{"info":"⊺⇮2119⪚⊺⇮1036=⊺⇮1810","layer":3},{"info":"∂⊺⇮2849=NaN","layer":3},{"info":"⊺⇮1810⇼⇔∾NaN=NaN","layer":2},{"info":"⊺⇮-36407⊋≦⊧NaN=⊺⇮192","layer":1},{"info":"⊺⇮3979⨳⩥⨓⊺⇮192=⊺⇮-3787","layer":0}]}
{"id":335,"expression_no_base_symbol":"((⨵($5419$⋥⋵⩄$1086$))⪨≂($6206$⇴$5811$)≎⪠($7183$⪔⊥$5558$))⊬⨰((⨈⪑$1404$)⫉⨲⊜($1792$∲⫓$2269$)⊉≛↸(⨑⩽⪐$4669$⨥⫆$3174$))","expression":"((⨵(⊺⇮5419⋥⋵⩄⊺⇮1086))⪨≂(⊺⇮6206⇴⊺⇮5811)≎⪠(⊺⇮7183⪔⊥⊺⇮5558))⊬⨰((⨈⪑⊺⇮1404)⫉⨲⊜(⊺⇮1792∲⫓⊺⇮2269)⊉≛↸(⨑⩽⪐⊺⇮4669⨥⫆⊺⇮3174))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19345,"operation_count":13,"complexity_ratio":1488.076923076923,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5419,"base":10},"right_expr":{"type":"numeric_atoms","value":1086,"base":10}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":6206,"base":10},"right_expr":{"type":"numeric_atoms","value":5811,"base":10}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":7183,"base":10},"right_expr":{"type":"numeric_atoms","value":5558,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1404,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1792,"base":10},"right_expr":{"type":"numeric_atoms","value":2269,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4669,"base":10},"right_expr":{"type":"numeric_atoms","value":3174,"base":10}}}}},"used_operators":["s3Fd5m9Dh2","sdazOOVcIp","Tl3Y52tvF8","7t3wd0Fuz7","aNhz54LH3e","4JB6nKBMSY","HJ9erzHUuu","DZ8iAZOCBD","WhqkvtTD3t","mp94q5OcYM","i8ToyICDmI","AF7qkfDlqP","yXekIHxTD4"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⊺⇮-53652","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5419","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=5419, right_input=1086, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=143","layer":2},{"info":"number node, value=6206","layer":4},{"info":"number node, value=5811","layer":4},{"info":"compute binary expreesion, left_input=6206, right_input=5811, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=48472","layer":3},{"info":"number node, value=7183","layer":4},{"info":"number node, value=5558","layer":4},{"info":"compute binary expreesion, left_input=7183, right_input=5558, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=17417","layer":3},{"info":"compute binary expreesion, left_input=48472, right_input=17417, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=143, right_input=19558, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-38728","layer":1},{"info":"number node, value=1404","layer":4},{"info":"compute unary expreesion, input=1404, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1792","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=2269, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-110","layer":2},{"info":"number node, value=4669","layer":4},{"info":"number node, value=3174","layer":4},{"info":"compute binary expreesion, left_input=4669, right_input=3174, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6224","layer":3},{"info":"compute unary expreesion, input=6224, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5951","layer":2},{"info":"compute binary expreesion, left_input=-110, right_input=-5951, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5951","layer":1},{"info":"compute binary expreesion, left_input=-38728, right_input=5951, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-53652","layer":0}],"base":10,"result_base":10,"text":"((⨵(⊺⇮5419⋥⋵⩄⊺⇮1086))⪨≂(⊺⇮6206⇴⊺⇮5811)≎⪠(⊺⇮7183⪔⊥⊺⇮5558))⊬⨰((⨈⪑⊺⇮1404)⫉⨲⊜(⊺⇮1792∲⫓⊺⇮2269)⊉≛↸(⨑⩽⪐⊺⇮4669⨥⫆⊺⇮3174))=⊺⇮-53652","reverse_text":"⊺⇮-53652=((⨵(⊺⇮5419⋥⋵⩄⊺⇮1086))⪨≂(⊺⇮6206⇴⊺⇮5811)≎⪠(⊺⇮7183⪔⊥⊺⇮5558))⊬⨰((⨈⪑⊺⇮1404)⫉⨲⊜(⊺⇮1792∲⫓⊺⇮2269)⊉≛↸(⨑⩽⪐⊺⇮4669⨥⫆⊺⇮3174))","cot":[{"info":"⊺⇮5419⋥⋵⩄⊺⇮1086=⊺⇮113","layer":3},{"info":"⨵⊺⇮113=⊺⇮143","layer":2},{"info":"⊺⇮6206⇴⊺⇮5811=⊺⇮48472","layer":3},{"info":"⊺⇮7183⪔⊥⊺⇮5558=⊺⇮17417","layer":3},{"info":"⊺⇮48472≎⪠⊺⇮17417=⊺⇮19558","layer":2},{"info":"⊺⇮143⪨≂⊺⇮19558=⊺⇮-38728","layer":1},{"info":"⨈⪑⊺⇮1404=⊺⇮868","layer":3},{"info":"⊺⇮1792∲⫓⊺⇮2269=⊺⇮0","layer":3},{"info":"⊺⇮868⫉⨲⊜⊺⇮0=⊺⇮-110","layer":2},{"info":"⊺⇮4669⨥⫆⊺⇮3174=⊺⇮6224","layer":3},{"info":"⨑⩽⪐⊺⇮6224=⊺⇮-5951","layer":2},{"info":"⊺⇮-110⊉≛↸⊺⇮-5951=⊺⇮5951","layer":1},{"info":"⊺⇮-38728⊬⨰⊺⇮5951=⊺⇮-53652","layer":0}]}
{"id":336,"expression_no_base_symbol":"($1730$⋣⋖$2936$⇣⩺⋵$1857$∇⊂⋱$4608$∁)⨔⇊(((⨡↴$1036$)⩹(⩒∊$1667$))⊉↱≁(($5098$⫌⩉⩟$7383$)⩘(⫛⫱⨽$3429$)))","expression":"(⊺⇮1730⋣⋖⊺⇮2936⇣⩺⋵⊺⇮1857∇⊂⋱⊺⇮4608∁)⨔⇊(((⨡↴⊺⇮1036)⩹(⩒∊⊺⇮1667))⊉↱≁((⊺⇮5098⫌⩉⩟⊺⇮7383)⩘(⫛⫱⨽⊺⇮3429)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":39216,"operation_count":12,"complexity_ratio":3268.0,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1730,"base":10},"right_expr":{"type":"numeric_atoms","value":2936,"base":10}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1857,"base":10},"right_expr":{"type":"numeric_atoms","value":4608,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1036,"base":10}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1667,"base":10}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5098,"base":10},"right_expr":{"type":"numeric_atoms","value":7383,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3429,"base":10}}}}},"used_operators":["JclMnS0uGI","jdwGQqwJi5","F4yD0voBRQ","J0M6qkBnIM","nhYeJWJD5X","w2P8NbNXyL","2Wsdkap16l","liw5iZPkLH","qazvmhNBbN","cHh1gJQ2o6","XIIwhv8d0m","DlLNRPXxWL"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2DDjHMKMc0","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","P8v4zCKN1o","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rGHVDoGpnC"],"result":"⊺⇮24738","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1730","layer":4},{"info":"number node, value=2936","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=2936, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1730","layer":3},{"info":"number node, value=1857","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=4608, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3168","layer":3},{"info":"compute binary expreesion, left_input=1730, right_input=3168, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-260","layer":1},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2085","layer":3},{"info":"number node, value=1667","layer":4},{"info":"compute unary expreesion, input=1667, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2577","layer":3},{"info":"compute binary expreesion, left_input=2085, right_input=2577, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2575","layer":2},{"info":"number node, value=5098","layer":4},{"info":"number node, value=7383","layer":4},{"info":"compute binary expreesion, left_input=5098, right_input=7383, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3429","layer":4},{"info":"compute unary expreesion, input=3429, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=2575, right_input=160, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=24738","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=24738, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=24738","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1730⋣⋖⊺⇮2936⇣⩺⋵⊺⇮1857∇⊂⋱⊺⇮4608∁)⨔⇊(((⨡↴⊺⇮1036)⩹(⩒∊⊺⇮1667))⊉↱≁((⊺⇮5098⫌⩉⩟⊺⇮7383)⩘(⫛⫱⨽⊺⇮3429)))=⊺⇮24738","reverse_text":"⊺⇮24738=(⊺⇮1730⋣⋖⊺⇮2936⇣⩺⋵⊺⇮1857∇⊂⋱⊺⇮4608∁)⨔⇊(((⨡↴⊺⇮1036)⩹(⩒∊⊺⇮1667))⊉↱≁((⊺⇮5098⫌⩉⩟⊺⇮7383)⩘(⫛⫱⨽⊺⇮3429)))","cot":[{"info":"⊺⇮1730⋣⋖⊺⇮2936=⊺⇮1730","layer":3},{"info":"⊺⇮1857∇⊂⋱⊺⇮4608=⊺⇮3168","layer":3},{"info":"⊺⇮1730⇣⩺⋵⊺⇮3168=⊺⇮-260","layer":2},{"info":"⊺⇮-260∁=⊺⇮-260","layer":1},{"info":"⨡↴⊺⇮1036=⊺⇮2085","layer":3},{"info":"⩒∊⊺⇮1667=⊺⇮2577","layer":3},{"info":"⊺⇮2085⩹⊺⇮2577=⊺⇮2575","layer":2},{"info":"⊺⇮5098⫌⩉⩟⊺⇮7383=⊺⇮-50","layer":3},{"info":"⫛⫱⨽⊺⇮3429=⊺⇮0","layer":3},{"info":"⊺⇮-50⩘⊺⇮0=⊺⇮160","layer":2},{"info":"⊺⇮2575⊉↱≁⊺⇮160=⊺⇮24738","layer":1},{"info":"⊺⇮-260⨔⇊⊺⇮24738=⊺⇮24738","layer":0}]}
{"id":337,"expression_no_base_symbol":"(($1200$⨚⇆$4169$∷$7981$≎⊠⪸$1940$)≃(↥≼⋛$2436$)≴⪞⇿($1833$⨎$3204$))⋥⋵⩄(⊊≼∋($2265$≹⇙⪍$1967$))∴($6956$⨜⨶$2720$⋭≵$2650$⩒⫫$5506$)","expression":"((⊺⇮1200⨚⇆⊺⇮4169∷⊺⇮7981≎⊠⪸⊺⇮1940)≃(↥≼⋛⊺⇮2436)≴⪞⇿(⊺⇮1833⨎⊺⇮3204))⋥⋵⩄(⊊≼∋(⊺⇮2265≹⇙⪍⊺⇮1967))∴(⊺⇮6956⨜⨶⊺⇮2720⋭≵⊺⇮2650⩒⫫⊺⇮5506)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8930,"operation_count":14,"complexity_ratio":637.8571428571429,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1200,"base":10},"right_expr":{"type":"numeric_atoms","value":4169,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7981,"base":10},"right_expr":{"type":"numeric_atoms","value":1940,"base":10}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2436,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1833,"base":10},"right_expr":{"type":"numeric_atoms","value":3204,"base":10}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2265,"base":10},"right_expr":{"type":"numeric_atoms","value":1967,"base":10}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6956,"base":10},"right_expr":{"type":"numeric_atoms","value":2720,"base":10}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2650,"base":10},"right_expr":{"type":"numeric_atoms","value":5506,"base":10}}}}},"used_operators":["7t3wd0Fuz7","YbVcJGFEVW","D3AQDKkPcf","lwHaAYXP2r","bJkvcejdHO","lvlrscuwVU","x5lMkHmzsq","rJVOvQCfKK","hrf7POJlIJ","FWz7pXsQhA","AHs5Up7iyr","jBncVCNhdl","HiPekx5b7W","KFSx94NKJn"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","B5M0gjZbta","jCPkEVoL5K","dWAJyo7jo9","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1200","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=4169, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=7981","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=7981, right_input=1940, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2066606","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2066606, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2066606","layer":2},{"info":"number node, value=2436","layer":4},{"info":"compute unary expreesion, input=2436, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=1833","layer":4},{"info":"number node, value=3204","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=3204, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3204","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=3204, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-5856","layer":2},{"info":"compute binary expreesion, left_input=2066606, right_input=-5856, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=23384","layer":1},{"info":"number node, value=2265","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=1967, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"number node, value=6956","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=6956, right_input=2720, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5184","layer":3},{"info":"number node, value=2650","layer":4},{"info":"number node, value=5506","layer":4},{"info":"compute binary expreesion, left_input=2650, right_input=5506, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2348","layer":3},{"info":"compute binary expreesion, left_input=-5184, right_input=2348, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=23384, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1200⨚⇆⊺⇮4169∷⊺⇮7981≎⊠⪸⊺⇮1940)≃(↥≼⋛⊺⇮2436)≴⪞⇿(⊺⇮1833⨎⊺⇮3204))⋥⋵⩄(⊊≼∋(⊺⇮2265≹⇙⪍⊺⇮1967))∴(⊺⇮6956⨜⨶⊺⇮2720⋭≵⊺⇮2650⩒⫫⊺⇮5506)=NaN","reverse_text":"NaN=((⊺⇮1200⨚⇆⊺⇮4169∷⊺⇮7981≎⊠⪸⊺⇮1940)≃(↥≼⋛⊺⇮2436)≴⪞⇿(⊺⇮1833⨎⊺⇮3204))⋥⋵⩄(⊊≼∋(⊺⇮2265≹⇙⪍⊺⇮1967))∴(⊺⇮6956⨜⨶⊺⇮2720⋭≵⊺⇮2650⩒⫫⊺⇮5506)","cot":[{"info":"⊺⇮1200⨚⇆⊺⇮4169=NaN","layer":3},{"info":"⊺⇮7981≎⊠⪸⊺⇮1940=⊺⇮2066606","layer":3},{"info":"NaN∷⊺⇮2066606=⊺⇮2066606","layer":2},{"info":"↥≼⋛⊺⇮2436=⊺⇮-113","layer":3},{"info":"⊺⇮1833⨎⊺⇮3204=⊺⇮3204","layer":3},{"info":"⊺⇮-113≴⪞⇿⊺⇮3204=⊺⇮-5856","layer":2},{"info":"⊺⇮2066606≃⊺⇮-5856=⊺⇮23384","layer":1},{"info":"⊺⇮2265≹⇙⪍⊺⇮1967=NaN","layer":3},{"info":"⊊≼∋NaN=NaN","layer":2},{"info":"⊺⇮6956⨜⨶⊺⇮2720=⊺⇮-5184","layer":3},{"info":"⊺⇮2650⩒⫫⊺⇮5506=⊺⇮2348","layer":3},{"info":"⊺⇮-5184⋭≵⊺⇮2348=⊺⇮67","layer":2},{"info":"NaN∴⊺⇮67=NaN","layer":1},{"info":"⊺⇮23384⋥⋵⩄NaN=NaN","layer":0}]}
{"id":338,"expression_no_base_symbol":"(((⨂⪏⇭$2480$)≦≮≮)∲⫓(⊤⊝$1101$)⫣⪄⊒(↘$3107$))⪄($5631$⫃⨇$2775$)⨂≜($9005$⪁$9149$)⇄(⊆⋠($3547$⪥$3580$))","expression":"(((⨂⪏⇭⊺⇮2480)≦≮≮)∲⫓(⊤⊝⊺⇮1101)⫣⪄⊒(↘⊺⇮3107))⪄(⊺⇮5631⫃⨇⊺⇮2775)⨂≜(⊺⇮9005⪁⊺⇮9149)⇄(⊆⋠(⊺⇮3547⪥⊺⇮3580))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":29595,"operation_count":13,"complexity_ratio":2276.5384615384614,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2480,"base":10}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1101,"base":10}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3107,"base":10}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5631,"base":10},"right_expr":{"type":"numeric_atoms","value":2775,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":9005,"base":10},"right_expr":{"type":"numeric_atoms","value":9149,"base":10}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3547,"base":10},"right_expr":{"type":"numeric_atoms","value":3580,"base":10}}}}},"used_operators":["SUmda5xLS4","i8ToyICDmI","D4vGDi5EA2","AYdpE9sXAk","RabNbG55vr","rXAclfmB4M","LdNpr8hQHL","3EYGwJThht","k1SHOSEABc","09Ly4LVMIf","I7sXao9hZE","EBhcHTkKd8","QbnwKVWMIQ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","sdazOOVcIp","uFcxV4UQCh","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":4},{"info":"compute unary expreesion, input=2480, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=6461","layer":3},{"info":"compute unary expreesion, input=6461, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-19383","layer":2},{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=904","layer":3},{"info":"number node, value=3107","layer":4},{"info":"compute unary expreesion, input=3107, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=363","layer":3},{"info":"compute binary expreesion, left_input=904, right_input=363, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-19383, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-19383","layer":1},{"info":"number node, value=5631","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=5631, right_input=2775, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11132","layer":3},{"info":"number node, value=9005","layer":4},{"info":"number node, value=9149","layer":4},{"info":"compute binary expreesion, left_input=9005, right_input=9149, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11132, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=3547","layer":4},{"info":"number node, value=3580","layer":4},{"info":"compute binary expreesion, left_input=3547, right_input=3580, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=18840","layer":3},{"info":"compute unary expreesion, input=18840, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-19383, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"(((⨂⪏⇭⊺⇮2480)≦≮≮)∲⫓(⊤⊝⊺⇮1101)⫣⪄⊒(↘⊺⇮3107))⪄(⊺⇮5631⫃⨇⊺⇮2775)⨂≜(⊺⇮9005⪁⊺⇮9149)⇄(⊆⋠(⊺⇮3547⪥⊺⇮3580))=⊺⇮3979","reverse_text":"⊺⇮3979=(((⨂⪏⇭⊺⇮2480)≦≮≮)∲⫓(⊤⊝⊺⇮1101)⫣⪄⊒(↘⊺⇮3107))⪄(⊺⇮5631⫃⨇⊺⇮2775)⨂≜(⊺⇮9005⪁⊺⇮9149)⇄(⊆⋠(⊺⇮3547⪥⊺⇮3580))","cot":[{"info":"⨂⪏⇭⊺⇮2480=⊺⇮6461","layer":3},{"info":"⊺⇮6461≦≮≮=⊺⇮-19383","layer":2},{"info":"⊤⊝⊺⇮1101=⊺⇮904","layer":3},{"info":"↘⊺⇮3107=⊺⇮363","layer":3},{"info":"⊺⇮904⫣⪄⊒⊺⇮363=⊺⇮160","layer":2},{"info":"⊺⇮-19383∲⫓⊺⇮160=⊺⇮-19383","layer":1},{"info":"⊺⇮5631⫃⨇⊺⇮2775=⊺⇮-11132","layer":3},{"info":"⊺⇮9005⪁⊺⇮9149=NaN","layer":3},{"info":"⊺⇮-11132⨂≜NaN=NaN","layer":2},{"info":"⊺⇮3547⪥⊺⇮3580=⊺⇮18840","layer":3},{"info":"⊆⋠⊺⇮18840=⊺⇮0","layer":2},{"info":"NaN⇄⊺⇮0=NaN","layer":1},{"info":"⊺⇮-19383⪄NaN=⊺⇮3979","layer":0}]}
{"id":339,"expression_no_base_symbol":"(($6985$≚⊃≕$5999$/(⇐$2852$))∵≐)⫌⩹⨱","expression":"((⊺⇮6985≚⊃≕⊺⇮5999/(⇐⊺⇮2852))∵≐)⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":84,"operation_count":5,"complexity_ratio":16.8,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":6985,"base":10},"right_expr":{"type":"numeric_atoms","value":5999,"base":10}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2852,"base":10}}}}},"used_operators":["EBcxylXtPf","59igzFyhWz","XhwjNDsVaA","Bmrmz2XGnR","nmZMaaE0Q9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"⊺⇮625","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6985","layer":4},{"info":"number node, value=5999","layer":4},{"info":"compute binary expreesion, left_input=6985, right_input=5999, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=2852","layer":4},{"info":"compute unary expreesion, input=2852, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4338","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=4338, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=-388","layer":1},{"info":"compute unary expreesion, input=-388, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=625","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6985≚⊃≕⊺⇮5999/(⇐⊺⇮2852))∵≐)⫌⩹⨱=⊺⇮625","reverse_text":"⊺⇮625=((⊺⇮6985≚⊃≕⊺⇮5999/(⇐⊺⇮2852))∵≐)⫌⩹⨱","cot":[{"info":"⊺⇮6985≚⊃≕⊺⇮5999=⊺⇮67","layer":3},{"info":"⇐⊺⇮2852=⊺⇮4338","layer":3},{"info":"⊺⇮67/⊺⇮4338=⊺⇮0","layer":2},{"info":"⊺⇮0∵≐=⊺⇮-388","layer":1},{"info":"⊺⇮-388⫌⩹⨱=⊺⇮625","layer":0}]}
{"id":340,"expression_no_base_symbol":"($1779$⊨$7317$-(∥⊫$3944$))⨽(⇺⋃($1716$⋻⩜⩜$1082$))∲⫓(⊙↵-((⫛⫱⨽$3498$)⋥≓≎(⊁⨺$1741$)))","expression":"(⊺⇮1779⊨⊺⇮7317-(∥⊫⊺⇮3944))⨽(⇺⋃(⊺⇮1716⋻⩜⩜⊺⇮1082))∲⫓(⊙↵-((⫛⫱⨽⊺⇮3498)⋥≓≎(⊁⨺⊺⇮1741)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20406,"operation_count":11,"complexity_ratio":1855.090909090909,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1779,"base":10},"right_expr":{"type":"numeric_atoms","value":7317,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3944,"base":10}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1716,"base":10},"right_expr":{"type":"numeric_atoms","value":1082,"base":10}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3498,"base":10}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1741,"base":10}}}}},"used_operators":["i8ToyICDmI","8HhzD0ZcuI","rysDP5nf3Z","vg4gO5BX6G","P8v4zCKN1o","E5v5B3UAjG","oDCm7WA9JY","oWn0xqSxBt","Qy55tPpLXF","DlLNRPXxWL","PxiHyQbrIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1779","layer":4},{"info":"number node, value=7317","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=7317, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8147","layer":3},{"info":"number node, value=3944","layer":4},{"info":"compute unary expreesion, input=3944, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4812","layer":3},{"info":"compute binary expreesion, left_input=8147, right_input=4812, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3335","layer":2},{"info":"number node, value=1716","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=1082, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3432","layer":3},{"info":"compute unary expreesion, input=3432, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3335, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=3498","layer":4},{"info":"compute unary expreesion, input=3498, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1741","layer":4},{"info":"compute unary expreesion, input=1741, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=353","layer":2},{"info":"compute unary expreesion, input=353, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1779⊨⊺⇮7317-(∥⊫⊺⇮3944))⨽(⇺⋃(⊺⇮1716⋻⩜⩜⊺⇮1082))∲⫓(⊙↵-((⫛⫱⨽⊺⇮3498)⋥≓≎(⊁⨺⊺⇮1741)))=NaN","reverse_text":"NaN=(⊺⇮1779⊨⊺⇮7317-(∥⊫⊺⇮3944))⨽(⇺⋃(⊺⇮1716⋻⩜⩜⊺⇮1082))∲⫓(⊙↵-((⫛⫱⨽⊺⇮3498)⋥≓≎(⊁⨺⊺⇮1741)))","cot":[{"info":"⊺⇮1779⊨⊺⇮7317=⊺⇮8147","layer":3},{"info":"∥⊫⊺⇮3944=⊺⇮4812","layer":3},{"info":"⊺⇮8147-⊺⇮4812=⊺⇮3335","layer":2},{"info":"⊺⇮1716⋻⩜⩜⊺⇮1082=⊺⇮3432","layer":3},{"info":"⇺⋃⊺⇮3432=NaN","layer":2},{"info":"⊺⇮3335⨽NaN=NaN","layer":1},{"info":"⫛⫱⨽⊺⇮3498=⊺⇮0","layer":3},{"info":"⊁⨺⊺⇮1741=⊺⇮160","layer":3},{"info":"⊺⇮0⋥≓≎⊺⇮160=⊺⇮353","layer":2},{"info":"⊙↵-⊺⇮353=⊺⇮0","layer":1},{"info":"NaN∲⫓⊺⇮0=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"($1794$⪇≇⋚$3775$)≁($4419$⊴$6967$)⨒(⨡↴$4762$)≄⊠$6255$⫘$3090$⩨((⇺⋃($1608$⇴∐$1113$))⊎←↗)","expression":"(⊺⇮1794⪇≇⋚⊺⇮3775)≁(⊺⇮4419⊴⊺⇮6967)⨒(⨡↴⊺⇮4762)≄⊠⊺⇮6255⫘⊺⇮3090⩨((⇺⋃(⊺⇮1608⇴∐⊺⇮1113))⊎←↗)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13656,"operation_count":11,"complexity_ratio":1241.4545454545455,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1794,"base":10},"right_expr":{"type":"numeric_atoms","value":3775,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4419,"base":10},"right_expr":{"type":"numeric_atoms","value":6967,"base":10}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":4762,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":6255,"base":10},"right_expr":{"type":"numeric_atoms","value":3090,"base":10}}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1608,"base":10},"right_expr":{"type":"numeric_atoms","value":1113,"base":10}}}}},"used_operators":["2DlMacCsIx","y75s1iXyHd","8N2wDY1A35","3sJ7IOPOlU","Nsiff2A1zJ","vXNesLlMH1","liw5iZPkLH","48vC8HMD2b","dwb5p0fa6d","E5v5B3UAjG","HnzytWxmAO"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","dWAJyo7jo9","14qkJME0vr","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","P8v4zCKN1o","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","COABgblf1C","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1794","layer":4},{"info":"number node, value=3775","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=3775, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4419","layer":4},{"info":"number node, value=6967","layer":4},{"info":"compute binary expreesion, left_input=4419, right_input=6967, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"number node, value=4762","layer":4},{"info":"compute unary expreesion, input=4762, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5811","layer":3},{"info":"number node, value=6255","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=6255, right_input=3090, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7360285","layer":3},{"info":"compute binary expreesion, left_input=5811, right_input=7360285, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=117769228","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=117769228, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"number node, value=1608","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=1113, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1794⪇≇⋚⊺⇮3775)≁(⊺⇮4419⊴⊺⇮6967)⨒(⨡↴⊺⇮4762)≄⊠⊺⇮6255⫘⊺⇮3090⩨((⇺⋃(⊺⇮1608⇴∐⊺⇮1113))⊎←↗)=NaN","reverse_text":"NaN=(⊺⇮1794⪇≇⋚⊺⇮3775)≁(⊺⇮4419⊴⊺⇮6967)⨒(⨡↴⊺⇮4762)≄⊠⊺⇮6255⫘⊺⇮3090⩨((⇺⋃(⊺⇮1608⇴∐⊺⇮1113))⊎←↗)","cot":[{"info":"⊺⇮1794⪇≇⋚⊺⇮3775=⊺⇮0","layer":3},{"info":"⊺⇮4419⊴⊺⇮6967=NaN","layer":3},{"info":"⊺⇮0≁NaN=NaN","layer":2},{"info":"⨡↴⊺⇮4762=⊺⇮5811","layer":3},{"info":"⊺⇮6255⫘⊺⇮3090=⊺⇮7360285","layer":3},{"info":"⊺⇮5811≄⊠⊺⇮7360285=⊺⇮117769228","layer":2},{"info":"NaN⨒⊺⇮117769228=NaN","layer":1},{"info":"⊺⇮1608⇴∐⊺⇮1113=NaN","layer":3},{"info":"⇺⋃NaN=NaN","layer":2},{"info":"NaN⊎←↗=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":342,"expression_no_base_symbol":"(($3429$⊾⪯⋞$3826$⫌⩉⩟$3740$⪔⊥$6574$)→⨶⪴(⊆⋠($2601$⋭≵$4277$)))→⨶⪴($2084$⩁⩘$4428$≹⇙⪍$1853$⊮⊟↴$3262$)⨂≜(⋂$1405$∣$1058$)","expression":"((⊺⇮3429⊾⪯⋞⊺⇮3826⫌⩉⩟⊺⇮3740⪔⊥⊺⇮6574)→⨶⪴(⊆⋠(⊺⇮2601⋭≵⊺⇮4277)))→⨶⪴(⊺⇮2084⩁⩘⊺⇮4428≹⇙⪍⊺⇮1853⊮⊟↴⊺⇮3262)⨂≜(⋂⊺⇮1405∣⊺⇮1058)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27031,"operation_count":13,"complexity_ratio":2079.3076923076924,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3429,"base":10},"right_expr":{"type":"numeric_atoms","value":3826,"base":10}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3740,"base":10},"right_expr":{"type":"numeric_atoms","value":6574,"base":10}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2601,"base":10},"right_expr":{"type":"numeric_atoms","value":4277,"base":10}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2084,"base":10},"right_expr":{"type":"numeric_atoms","value":4428,"base":10}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1853,"base":10},"right_expr":{"type":"numeric_atoms","value":3262,"base":10}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1405,"base":10},"right_expr":{"type":"numeric_atoms","value":1058,"base":10}}}}},"used_operators":["bF6eod5Gvf","XIIwhv8d0m","HK0tfVPux8","HJ9erzHUuu","EBhcHTkKd8","jBncVCNhdl","k1SHOSEABc","AHs5Up7iyr","gub5Cegaqo","QDVgd2eftb","BUOGQAYlQx","PPChnnnBFF"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","dWAJyo7jo9","DpFCA1CohY","IWmyXbctLI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3429","layer":4},{"info":"number node, value=3826","layer":4},{"info":"compute binary expreesion, left_input=3429, right_input=3826, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=7226","layer":3},{"info":"number node, value=3740","layer":4},{"info":"number node, value=6574","layer":4},{"info":"compute binary expreesion, left_input=3740, right_input=6574, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1613","layer":3},{"info":"compute binary expreesion, left_input=7226, right_input=1613, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2601","layer":4},{"info":"number node, value=4277","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=4277, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=348, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-1044","layer":1},{"info":"number node, value=2084","layer":4},{"info":"number node, value=4428","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=4428, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=18660","layer":3},{"info":"number node, value=1853","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=3262, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=18660, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=18660","layer":2},{"info":"number node, value=1405","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=1058, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-19074","layer":2},{"info":"compute binary expreesion, left_input=18660, right_input=-19074, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1044, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3429⊾⪯⋞⊺⇮3826⫌⩉⩟⊺⇮3740⪔⊥⊺⇮6574)→⨶⪴(⊆⋠(⊺⇮2601⋭≵⊺⇮4277)))→⨶⪴(⊺⇮2084⩁⩘⊺⇮4428≹⇙⪍⊺⇮1853⊮⊟↴⊺⇮3262)⨂≜(⋂⊺⇮1405∣⊺⇮1058)=NaN","reverse_text":"NaN=((⊺⇮3429⊾⪯⋞⊺⇮3826⫌⩉⩟⊺⇮3740⪔⊥⊺⇮6574)→⨶⪴(⊆⋠(⊺⇮2601⋭≵⊺⇮4277)))→⨶⪴(⊺⇮2084⩁⩘⊺⇮4428≹⇙⪍⊺⇮1853⊮⊟↴⊺⇮3262)⨂≜(⋂⊺⇮1405∣⊺⇮1058)","cot":[{"info":"⊺⇮3429⊾⪯⋞⊺⇮3826=⊺⇮7226","layer":3},{"info":"⊺⇮3740⪔⊥⊺⇮6574=⊺⇮1613","layer":3},{"info":"⊺⇮7226⫌⩉⩟⊺⇮1613=⊺⇮-50","layer":2},{"info":"⊺⇮2601⋭≵⊺⇮4277=⊺⇮67","layer":3},{"info":"⊆⋠⊺⇮67=⊺⇮348","layer":2},{"info":"⊺⇮-50→⨶⪴⊺⇮348=⊺⇮-1044","layer":1},{"info":"⊺⇮2084⩁⩘⊺⇮4428=⊺⇮18660","layer":3},{"info":"⊺⇮1853⊮⊟↴⊺⇮3262=⊺⇮0","layer":3},{"info":"⊺⇮18660≹⇙⪍⊺⇮0=⊺⇮18660","layer":2},{"info":"⊺⇮1405∣⊺⇮1058=⊺⇮1405","layer":3},{"info":"⋂⊺⇮1405=⊺⇮-19074","layer":2},{"info":"⊺⇮18660⨂≜⊺⇮-19074=NaN","layer":1},{"info":"⊺⇮-1044→⨶⪴NaN=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"((⇾⩊⇾(→⩰$2891$))⋖∅⋲)⊱⇼⊻(($6678$⊹∫⫚$8164$⇼⇔∾(∷≠$1417$))⋳⪒(⨰⫟⨤$1542$⋕⪉⪜$1339$))","expression":"((⇾⩊⇾(→⩰⊺⇮2891))⋖∅⋲)⊱⇼⊻((⊺⇮6678⊹∫⫚⊺⇮8164⇼⇔∾(∷≠⊺⇮1417))⋳⪒(⨰⫟⨤⊺⇮1542⋕⪉⪜⊺⇮1339))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13818,"operation_count":10,"complexity_ratio":1381.8,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2891,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6678,"base":10},"right_expr":{"type":"numeric_atoms","value":8164,"base":10}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1417,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1542,"base":10},"right_expr":{"type":"numeric_atoms","value":1339,"base":10}}}}},"used_operators":["FyVja0WsTP","L95AwlJzhO","bx9Z9DAK5y","o8Pngz0Tml","12rbrZMWeM","tifHPKVTfV","uWAJUKEvyW","QiR2Oyf5Xj","Tw270M8GLb","z6LnFrNh4i"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","7j4O788W3g","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2891","layer":4},{"info":"compute unary expreesion, input=2891, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=nan","layer":1},{"info":"number node, value=6678","layer":4},{"info":"number node, value=8164","layer":4},{"info":"compute binary expreesion, left_input=6678, right_input=8164, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-212","layer":3},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1417","layer":3},{"info":"compute binary expreesion, left_input=-212, right_input=1417, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1629","layer":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=1339, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1629, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⇾⩊⇾(→⩰⊺⇮2891))⋖∅⋲)⊱⇼⊻((⊺⇮6678⊹∫⫚⊺⇮8164⇼⇔∾(∷≠⊺⇮1417))⋳⪒(⨰⫟⨤⊺⇮1542⋕⪉⪜⊺⇮1339))=NaN","reverse_text":"NaN=((⇾⩊⇾(→⩰⊺⇮2891))⋖∅⋲)⊱⇼⊻((⊺⇮6678⊹∫⫚⊺⇮8164⇼⇔∾(∷≠⊺⇮1417))⋳⪒(⨰⫟⨤⊺⇮1542⋕⪉⪜⊺⇮1339))","cot":[{"info":"→⩰⊺⇮2891=NaN","layer":3},{"info":"⇾⩊⇾NaN=NaN","layer":2},{"info":"NaN⋖∅⋲=NaN","layer":1},{"info":"⊺⇮6678⊹∫⫚⊺⇮8164=⊺⇮-212","layer":3},{"info":"∷≠⊺⇮1417=⊺⇮1417","layer":3},{"info":"⊺⇮-212⇼⇔∾⊺⇮1417=⊺⇮1629","layer":2},{"info":"⊺⇮1542⋕⪉⪜⊺⇮1339=⊺⇮2802","layer":3},{"info":"⨰⫟⨤⊺⇮2802=NaN","layer":2},{"info":"⊺⇮1629⋳⪒NaN=NaN","layer":1},{"info":"NaN⊱⇼⊻NaN=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"≔(+⊝⨔(↸⊣$4755$))⇂≾⫗(⩰(⫶⊄≣$1041$))","expression":"≔(+⊝⨔(↸⊣⊺⇮4755))⇂≾⫗(⩰(⫶⊄≣⊺⇮1041))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1220,"operation_count":6,"complexity_ratio":203.33333333333334,"tree":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":4755,"base":10}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1041,"base":10}}}}},"used_operators":["8FLs4eVsLt","aBQ6xLxuTc","DhbWaqg5eL","wztAlM01eG","WkeUrDK8WX","wxb3vTeyAj"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"⊺⇮20054","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4755","layer":4},{"info":"compute unary expreesion, input=4755, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-4468","layer":3},{"info":"compute unary expreesion, input=-4468, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=19521685","layer":3},{"info":"compute unary expreesion, input=19521685, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-19522685","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-19522685, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"compute unary expreesion, input=-670, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=20054","layer":0}],"base":10,"result_base":10,"text":"≔(+⊝⨔(↸⊣⊺⇮4755))⇂≾⫗(⩰(⫶⊄≣⊺⇮1041))=⊺⇮20054","reverse_text":"⊺⇮20054=≔(+⊝⨔(↸⊣⊺⇮4755))⇂≾⫗(⩰(⫶⊄≣⊺⇮1041))","cot":[{"info":"↸⊣⊺⇮4755=⊺⇮-4468","layer":3},{"info":"+⊝⨔⊺⇮-4468=⊺⇮1522","layer":2},{"info":"⫶⊄≣⊺⇮1041=⊺⇮19521685","layer":3},{"info":"⩰⊺⇮19521685=⊺⇮-19522685","layer":2},{"info":"⊺⇮1522⇂≾⫗⊺⇮-19522685=⊺⇮-670","layer":1},{"info":"≔⊺⇮-670=⊺⇮20054","layer":0}]}
{"id":345,"expression_no_base_symbol":"(⩷⨜⫀($4486$≬⋮$1978$))⫯⪬∳($1144$≹⇙⪍$6729$⨴∎)⇽⩪","expression":"(⩷⨜⫀(⊺⇮4486≬⋮⊺⇮1978))⫯⪬∳(⊺⇮1144≹⇙⪍⊺⇮6729⨴∎)⇽⩪","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":52,"operation_count":6,"complexity_ratio":8.666666666666666,"tree":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4486,"base":10},"right_expr":{"type":"numeric_atoms","value":1978,"base":10}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1144,"base":10},"right_expr":{"type":"numeric_atoms","value":6729,"base":10}}}}},"used_operators":["FonBHBYJbU","d7ASUq0ydm","CDi0ktkjQ4","kbkesczE7y","CpSg5vQTgA","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","ruOEQAzv1W","nhYeJWJD5X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","dWAJyo7jo9"],"result":"⊺⇮3146","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4486","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=4486, right_input=1978, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-595","layer":2},{"info":"number node, value=1144","layer":4},{"info":"number node, value=6729","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=6729, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-595, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=1312","layer":1},{"info":"compute unary expreesion, input=1312, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3146","layer":0}],"base":10,"result_base":10,"text":"(⩷⨜⫀(⊺⇮4486≬⋮⊺⇮1978))⫯⪬∳(⊺⇮1144≹⇙⪍⊺⇮6729⨴∎)⇽⩪=⊺⇮3146","reverse_text":"⊺⇮3146=(⩷⨜⫀(⊺⇮4486≬⋮⊺⇮1978))⫯⪬∳(⊺⇮1144≹⇙⪍⊺⇮6729⨴∎)⇽⩪","cot":[{"info":"⊺⇮4486≬⋮⊺⇮1978=⊺⇮868","layer":3},{"info":"⩷⨜⫀⊺⇮868=⊺⇮-595","layer":2},{"info":"⊺⇮1144≹⇙⪍⊺⇮6729=NaN","layer":3},{"info":"NaN⨴∎=NaN","layer":2},{"info":"⊺⇮-595⫯⪬∳NaN=⊺⇮1312","layer":1},{"info":"⊺⇮1312⇽⩪=⊺⇮3146","layer":0}]}
{"id":346,"expression_no_base_symbol":"((⊄⩳↩$5921$⪭$7307$)⇼⇔∾($5980$↹⊜$3735$%$1525$≁$1474$))⪠⩆⊳","expression":"((⊄⩳↩⊺⇮5921⪭⊺⇮7307)⇼⇔∾(⊺⇮5980↹⊜⊺⇮3735%⊺⇮1525≁⊺⇮1474))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":110,"operation_count":7,"complexity_ratio":15.714285714285714,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5921,"base":10},"right_expr":{"type":"numeric_atoms","value":7307,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5980,"base":10},"right_expr":{"type":"numeric_atoms","value":3735,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1525,"base":10},"right_expr":{"type":"numeric_atoms","value":1474,"base":10}}}}},"used_operators":["JLbD19bQDL","tifHPKVTfV","8w2t5hMYqp","j9kHMeSvPp","k8jYdgA6NY","9bazX3JMtO","8N2wDY1A35"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5921","layer":4},{"info":"number node, value=7307","layer":4},{"info":"compute binary expreesion, left_input=5921, right_input=7307, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15","layer":2},{"info":"number node, value=5980","layer":4},{"info":"number node, value=3735","layer":4},{"info":"compute binary expreesion, left_input=5980, right_input=3735, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-3076","layer":3},{"info":"number node, value=1525","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=1474, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=22175","layer":3},{"info":"compute binary expreesion, left_input=-3076, right_input=22175, op_id = k8jYdgA6NY binary_op_definition= 'None', output=19099","layer":2},{"info":"compute binary expreesion, left_input=-15, right_input=19099, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=19114","layer":1},{"info":"compute unary expreesion, input=19114, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊄⩳↩⊺⇮5921⪭⊺⇮7307)⇼⇔∾(⊺⇮5980↹⊜⊺⇮3735%⊺⇮1525≁⊺⇮1474))⪠⩆⊳=⊺⇮0","reverse_text":"⊺⇮0=((⊄⩳↩⊺⇮5921⪭⊺⇮7307)⇼⇔∾(⊺⇮5980↹⊜⊺⇮3735%⊺⇮1525≁⊺⇮1474))⪠⩆⊳","cot":[{"info":"⊺⇮5921⪭⊺⇮7307=⊺⇮5","layer":3},{"info":"⊄⩳↩⊺⇮5=⊺⇮-15","layer":2},{"info":"⊺⇮5980↹⊜⊺⇮3735=⊺⇮-3076","layer":3},{"info":"⊺⇮1525≁⊺⇮1474=⊺⇮22175","layer":3},{"info":"⊺⇮-3076%⊺⇮22175=⊺⇮19099","layer":2},{"info":"⊺⇮-15⇼⇔∾⊺⇮19099=⊺⇮19114","layer":1},{"info":"⊺⇮19114⪠⩆⊳=⊺⇮0","layer":0}]}
{"id":347,"expression_no_base_symbol":"≘(($3733$∽$3033$)⇍⊗($1968$⇗⋫)↱((∥⊫$2421$)∴≳≥))","expression":"≘((⊺⇮3733∽⊺⇮3033)⇍⊗(⊺⇮1968⇗⋫)↱((∥⊫⊺⇮2421)∴≳≥))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":305,"operation_count":7,"complexity_ratio":43.57142857142857,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3733,"base":10},"right_expr":{"type":"numeric_atoms","value":3033,"base":10}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1968,"base":10}}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2421,"base":10}}}}},"used_operators":["tcjXMdvYtA","SR5kFfdi6N","5uvYHDjeKN","y4ImoPnbV5","hpqmaQFPrd","a3N2hFLK0J","P8v4zCKN1o"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","NTOWxs364D","QMFrweE19q","rxpJgHHUmx","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮22899986","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3733","layer":4},{"info":"number node, value=3033","layer":4},{"info":"compute binary expreesion, left_input=3733, right_input=3033, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-27586","layer":3},{"info":"number node, value=1968","layer":4},{"info":"compute unary expreesion, input=1968, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-27586, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"number node, value=2421","layer":4},{"info":"compute unary expreesion, input=2421, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3289","layer":3},{"info":"compute unary expreesion, input=3289, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=13156","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13156, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-38946","layer":1},{"info":"compute unary expreesion, input=-38946, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=22899986","layer":0}],"base":10,"result_base":10,"text":"≘((⊺⇮3733∽⊺⇮3033)⇍⊗(⊺⇮1968⇗⋫)↱((∥⊫⊺⇮2421)∴≳≥))=⊺⇮22899986","reverse_text":"⊺⇮22899986=≘((⊺⇮3733∽⊺⇮3033)⇍⊗(⊺⇮1968⇗⋫)↱((∥⊫⊺⇮2421)∴≳≥))","cot":[{"info":"⊺⇮3733∽⊺⇮3033=⊺⇮-27586","layer":3},{"info":"⊺⇮1968⇗⋫=NaN","layer":3},{"info":"⊺⇮-27586⇍⊗NaN=NaN","layer":2},{"info":"∥⊫⊺⇮2421=⊺⇮3289","layer":3},{"info":"⊺⇮3289∴≳≥=⊺⇮13156","layer":2},{"info":"NaN↱⊺⇮13156=⊺⇮-38946","layer":1},{"info":"≘⊺⇮-38946=⊺⇮22899986","layer":0}]}
{"id":348,"expression_no_base_symbol":"(($4699$⇮⋭$1539$)↼⊘⨖$6622$⊢$3261$≬⋮($1234$⇂≾⫗$3143$⩘))⪝((⇉-⫰(⪓⩚$5136$))⩁)","expression":"((⊺⇮4699⇮⋭⊺⇮1539)↼⊘⨖⊺⇮6622⊢⊺⇮3261≬⋮(⊺⇮1234⇂≾⫗⊺⇮3143⩘))⪝((⇉-⫰(⪓⩚⊺⇮5136))⩁)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4006,"operation_count":10,"complexity_ratio":400.6,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4699,"base":10},"right_expr":{"type":"numeric_atoms","value":1539,"base":10}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":6622,"base":10},"right_expr":{"type":"numeric_atoms","value":3261,"base":10}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1234,"base":10},"right_expr":{"type":"numeric_atoms","value":3143,"base":10}}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":5136,"base":10}}}}},"used_operators":["wicAB68Tmb","kbkesczE7y","bPywburJMS","vkpjKywKVM","5twsqlHp2o","wvHyciQT5X","aBQ6xLxuTc","5GqDbVmqXU","IGFM8TAlm9","u0R0Locfp2"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9ICcGScMcE","dfKe02y8D2","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","eH2TOUuTDT","eewbuw0ToL","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"⊺⇮-3951","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4699","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=1539, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=6622","layer":4},{"info":"number node, value=3261","layer":4},{"info":"compute binary expreesion, left_input=6622, right_input=3261, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-13488","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-13488, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-27198","layer":2},{"info":"number node, value=1234","layer":4},{"info":"number node, value=3143","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=3143, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-27198, right_input=67, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=5136","layer":4},{"info":"compute unary expreesion, input=5136, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute unary expreesion, input=426, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-20","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-20, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3951","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4699⇮⋭⊺⇮1539)↼⊘⨖⊺⇮6622⊢⊺⇮3261≬⋮(⊺⇮1234⇂≾⫗⊺⇮3143⩘))⪝((⇉-⫰(⪓⩚⊺⇮5136))⩁)=⊺⇮-3951","reverse_text":"⊺⇮-3951=((⊺⇮4699⇮⋭⊺⇮1539)↼⊘⨖⊺⇮6622⊢⊺⇮3261≬⋮(⊺⇮1234⇂≾⫗⊺⇮3143⩘))⪝((⇉-⫰(⪓⩚⊺⇮5136))⩁)","cot":[{"info":"⊺⇮4699⇮⋭⊺⇮1539=⊺⇮-473","layer":3},{"info":"⊺⇮6622⊢⊺⇮3261=⊺⇮-13488","layer":3},{"info":"⊺⇮-473↼⊘⨖⊺⇮-13488=⊺⇮-27198","layer":2},{"info":"⊺⇮1234⇂≾⫗⊺⇮3143=⊺⇮-676","layer":3},{"info":"⊺⇮-676⩘=⊺⇮67","layer":2},{"info":"⊺⇮-27198≬⋮⊺⇮67=⊺⇮868","layer":1},{"info":"⪓⩚⊺⇮5136=⊺⇮426","layer":3},{"info":"⇉-⫰⊺⇮426=⊺⇮20","layer":2},{"info":"⊺⇮20⩁=⊺⇮-20","layer":1},{"info":"⊺⇮868⪝⊺⇮-20=⊺⇮-3951","layer":0}]}
{"id":349,"expression_no_base_symbol":"($4143$⫉⨲⊜$4930$)⨔⇊($1351$∋$2181$)∋($2351$≬⋮$5981$⨵⪆($4557$⊭∹↮))⫌⩉⩟((⇈$4122$)⋓$5148$⋹⋡⊁$2920$)⨥⫆($2291$∓⋝$2456$⩨(-$3547$))","expression":"(⊺⇮4143⫉⨲⊜⊺⇮4930)⨔⇊(⊺⇮1351∋⊺⇮2181)∋(⊺⇮2351≬⋮⊺⇮5981⨵⪆(⊺⇮4557⊭∹↮))⫌⩉⩟((⇈⊺⇮4122)⋓⊺⇮5148⋹⋡⊁⊺⇮2920)⨥⫆(⊺⇮2291∓⋝⊺⇮2456⩨(-⊺⇮3547))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":65299,"operation_count":15,"complexity_ratio":4353.266666666666,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4143,"base":10},"right_expr":{"type":"numeric_atoms","value":4930,"base":10}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1351,"base":10},"right_expr":{"type":"numeric_atoms","value":2181,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2351,"base":10},"right_expr":{"type":"numeric_atoms","value":5981,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4557,"base":10}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":4122,"base":10}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5148,"base":10},"right_expr":{"type":"numeric_atoms","value":2920,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2291,"base":10},"right_expr":{"type":"numeric_atoms","value":2456,"base":10}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3547,"base":10}}}}},"used_operators":["XIIwhv8d0m","ukq6epAj5P","JclMnS0uGI","WhqkvtTD3t","2DQ55sFlQl","kbkesczE7y","xNBdhnnwKq","yXekIHxTD4","T2fj7uvVaJ","SLLxy00UIr","As8RqfVLgs","2DlMacCsIx","PoHhknlbAi","t8gj7n24qd"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⊺⇮-50","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4143","layer":4},{"info":"number node, value=4930","layer":4},{"info":"compute binary expreesion, left_input=4143, right_input=4930, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1351","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=2181, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4535612","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4535612, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4535612","layer":2},{"info":"number node, value=2351","layer":4},{"info":"number node, value=5981","layer":4},{"info":"compute binary expreesion, left_input=2351, right_input=5981, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=4557","layer":4},{"info":"compute unary expreesion, input=4557, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9114","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=9114, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=4535612, right_input=160, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=236129672","layer":1},{"info":"number node, value=4122","layer":4},{"info":"compute unary expreesion, input=4122, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=5148","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=5148, right_input=2920, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3670","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=3670, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2291","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=2456, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3547","layer":4},{"info":"compute unary expreesion, input=3547, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3547","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-3547, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=159","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=159, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=236129672, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4143⫉⨲⊜⊺⇮4930)⨔⇊(⊺⇮1351∋⊺⇮2181)∋(⊺⇮2351≬⋮⊺⇮5981⨵⪆(⊺⇮4557⊭∹↮))⫌⩉⩟((⇈⊺⇮4122)⋓⊺⇮5148⋹⋡⊁⊺⇮2920)⨥⫆(⊺⇮2291∓⋝⊺⇮2456⩨(-⊺⇮3547))=⊺⇮-50","reverse_text":"⊺⇮-50=(⊺⇮4143⫉⨲⊜⊺⇮4930)⨔⇊(⊺⇮1351∋⊺⇮2181)∋(⊺⇮2351≬⋮⊺⇮5981⨵⪆(⊺⇮4557⊭∹↮))⫌⩉⩟((⇈⊺⇮4122)⋓⊺⇮5148⋹⋡⊁⊺⇮2920)⨥⫆(⊺⇮2291∓⋝⊺⇮2456⩨(-⊺⇮3547))","cot":[{"info":"⊺⇮4143⫉⨲⊜⊺⇮4930=⊺⇮0","layer":3},{"info":"⊺⇮1351∋⊺⇮2181=⊺⇮4535612","layer":3},{"info":"⊺⇮0⨔⇊⊺⇮4535612=⊺⇮4535612","layer":2},{"info":"⊺⇮2351≬⋮⊺⇮5981=⊺⇮868","layer":3},{"info":"⊺⇮4557⊭∹↮=⊺⇮9114","layer":3},{"info":"⊺⇮868⨵⪆⊺⇮9114=⊺⇮160","layer":2},{"info":"⊺⇮4535612∋⊺⇮160=⊺⇮236129672","layer":1},{"info":"⇈⊺⇮4122=⊺⇮-447","layer":3},{"info":"⊺⇮5148⋹⋡⊁⊺⇮2920=⊺⇮3670","layer":3},{"info":"⊺⇮-447⋓⊺⇮3670=⊺⇮0","layer":2},{"info":"⊺⇮2291∓⋝⊺⇮2456=⊺⇮67","layer":3},{"info":"-⊺⇮3547=⊺⇮-3547","layer":3},{"info":"⊺⇮67⩨⊺⇮-3547=⊺⇮159","layer":2},{"info":"⊺⇮0⨥⫆⊺⇮159=⊺⇮0","layer":1},{"info":"⊺⇮236129672⫌⩉⩟⊺⇮0=⊺⇮-50","layer":0}]}
{"id":350,"expression_no_base_symbol":"↽≂(≻⋜(($1133$+$5883$)≦≮≮))","expression":"↽≂(≻⋜((⊺⇮1133+⊺⇮5883)≦≮≮))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":151595,"operation_count":4,"complexity_ratio":37898.75,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1133,"base":10},"right_expr":{"type":"numeric_atoms","value":5883,"base":10}}}}},"used_operators":["u6S6b8DprG","3tj9sqzovi","D4vGDi5EA2","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":4},{"info":"number node, value=5883","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=5883, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7016","layer":3},{"info":"compute unary expreesion, input=7016, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-21048","layer":2},{"info":"compute unary expreesion, input=-21048, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↽≂(≻⋜((⊺⇮1133+⊺⇮5883)≦≮≮))=NaN","reverse_text":"NaN=↽≂(≻⋜((⊺⇮1133+⊺⇮5883)≦≮≮))","cot":[{"info":"⊺⇮1133+⊺⇮5883=⊺⇮7016","layer":3},{"info":"⊺⇮7016≦≮≮=⊺⇮-21048","layer":2},{"info":"≻⋜⊺⇮-21048=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":351,"expression_no_base_symbol":"⫡⇟⇯(⨛(⇖($4741$⫸⇳$6278$)))","expression":"⫡⇟⇯(⨛(⇖(⊺⇮4741⫸⇳⊺⇮6278)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":56,"operation_count":4,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4741,"base":10},"right_expr":{"type":"numeric_atoms","value":6278,"base":10}}}}},"used_operators":["qWUSsah53b","CoMdbyAt7R","tfWHHpNKUN","gx7XJ7hdpj"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","2DQ55sFlQl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4741","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=4741, right_input=6278, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫡⇟⇯(⨛(⇖(⊺⇮4741⫸⇳⊺⇮6278)))=NaN","reverse_text":"NaN=⫡⇟⇯(⨛(⇖(⊺⇮4741⫸⇳⊺⇮6278)))","cot":[{"info":"⊺⇮4741⫸⇳⊺⇮6278=⊺⇮0","layer":3},{"info":"⇖⊺⇮0=⊺⇮160","layer":2},{"info":"⨛⊺⇮160=NaN","layer":1},{"info":"⫡⇟⇯NaN=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"(($2347$⪛⫼$1553$)↤⩊($8600$⩚⊴⇥$5743$)⊢)⨟⋌⩍(≋(∤(≱⇩⩕$1199$)))","expression":"((⊺⇮2347⪛⫼⊺⇮1553)↤⩊(⊺⇮8600⩚⊴⇥⊺⇮5743)⊢)⨟⋌⩍(≋(∤(≱⇩⩕⊺⇮1199)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":377,"operation_count":8,"complexity_ratio":47.125,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2347,"base":10},"right_expr":{"type":"numeric_atoms","value":1553,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8600,"base":10},"right_expr":{"type":"numeric_atoms","value":5743,"base":10}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1199,"base":10}}}}},"used_operators":["rGHVDoGpnC","40aOVDgCDB","13rbtpv6ld","hyuBjUqXlG","NTOWxs364D","61wBmkZwlr","k2HlF1dBQh","3DZMoQKiUl"],"dependent_operators":["Tcnh7f0tEr","NTOWxs364D","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2347","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=1553, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=8600","layer":4},{"info":"number node, value=5743","layer":4},{"info":"compute binary expreesion, left_input=8600, right_input=5743, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14464","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-14464, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=nan","layer":1},{"info":"number node, value=1199","layer":4},{"info":"compute unary expreesion, input=1199, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute unary expreesion, input=9, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2347⪛⫼⊺⇮1553)↤⩊(⊺⇮8600⩚⊴⇥⊺⇮5743)⊢)⨟⋌⩍(≋(∤(≱⇩⩕⊺⇮1199)))=NaN","reverse_text":"NaN=((⊺⇮2347⪛⫼⊺⇮1553)↤⩊(⊺⇮8600⩚⊴⇥⊺⇮5743)⊢)⨟⋌⩍(≋(∤(≱⇩⩕⊺⇮1199)))","cot":[{"info":"⊺⇮2347⪛⫼⊺⇮1553=⊺⇮968","layer":3},{"info":"⊺⇮8600⩚⊴⇥⊺⇮5743=⊺⇮-14464","layer":3},{"info":"⊺⇮968↤⩊⊺⇮-14464=NaN","layer":2},{"info":"NaN⊢=NaN","layer":1},{"info":"≱⇩⩕⊺⇮1199=⊺⇮113","layer":3},{"info":"∤⊺⇮113=⊺⇮9","layer":2},{"info":"≋⊺⇮9=⊺⇮9","layer":1},{"info":"NaN⨟⋌⩍⊺⇮9=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"∂⩏⊆(≀↧⇸((⨴⫝$3198$)↙($1065$⇮⋭$1171$)))","expression":"∂⩏⊆(≀↧⇸((⨴⫝⊺⇮3198)↙(⊺⇮1065⇮⋭⊺⇮1171)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2352,"operation_count":5,"complexity_ratio":470.4,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":3198,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1065,"base":10},"right_expr":{"type":"numeric_atoms","value":1171,"base":10}}}}},"used_operators":["8WDwsbhb0R","ljTHtUsqzn","yyfyN0ffXY","SVb2v531z1","vkpjKywKVM"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","XPYlsWDdGa","23Mk6UjR3U","tmPS8pqC7x","DpFCA1CohY","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⊺⇮-17107","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3198","layer":4},{"info":"compute unary expreesion, input=3198, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1171, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=-473, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1419","layer":2},{"info":"compute unary expreesion, input=-1419, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=5676","layer":1},{"info":"compute unary expreesion, input=5676, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-17107","layer":0}],"base":10,"result_base":10,"text":"∂⩏⊆(≀↧⇸((⨴⫝⊺⇮3198)↙(⊺⇮1065⇮⋭⊺⇮1171)))=⊺⇮-17107","reverse_text":"⊺⇮-17107=∂⩏⊆(≀↧⇸((⨴⫝⊺⇮3198)↙(⊺⇮1065⇮⋭⊺⇮1171)))","cot":[{"info":"⨴⫝⊺⇮3198=⊺⇮2828198","layer":3},{"info":"⊺⇮1065⇮⋭⊺⇮1171=⊺⇮-473","layer":3},{"info":"⊺⇮2828198↙⊺⇮-473=⊺⇮-1419","layer":2},{"info":"≀↧⇸⊺⇮-1419=⊺⇮5676","layer":1},{"info":"∂⩏⊆⊺⇮5676=⊺⇮-17107","layer":0}]}
{"id":354,"expression_no_base_symbol":"((⫶⊄≣$6397$)⩷∴(⩷$4609$))⋕⪉⪜(≻⋜($1029$⫁⪎$4071$))⊵↤","expression":"((⫶⊄≣⊺⇮6397)⩷∴(⩷⊺⇮4609))⋕⪉⪜(≻⋜(⊺⇮1029⫁⪎⊺⇮4071))⊵↤","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33668,"operation_count":7,"complexity_ratio":4809.714285714285,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":6397,"base":10}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4609,"base":10}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1029,"base":10},"right_expr":{"type":"numeric_atoms","value":4071,"base":10}}}}},"used_operators":["7IPrd9c3lf","z6LnFrNh4i","9FxExcQeMw","wxb3vTeyAj","1h0rLqGiFr","3tj9sqzovi","xRrnTEsQ6j"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⊺⇮358","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6397","layer":4},{"info":"compute unary expreesion, input=6397, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=736700797","layer":3},{"info":"number node, value=4609","layer":4},{"info":"compute unary expreesion, input=4609, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-55387","layer":3},{"info":"compute binary expreesion, left_input=736700797, right_input=-55387, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1473512336","layer":2},{"info":"number node, value=1029","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=4071, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3042","layer":3},{"info":"compute unary expreesion, input=-3042, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1473512336, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute unary expreesion, input=204, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=358","layer":0}],"base":10,"result_base":10,"text":"((⫶⊄≣⊺⇮6397)⩷∴(⩷⊺⇮4609))⋕⪉⪜(≻⋜(⊺⇮1029⫁⪎⊺⇮4071))⊵↤=⊺⇮358","reverse_text":"⊺⇮358=((⫶⊄≣⊺⇮6397)⩷∴(⩷⊺⇮4609))⋕⪉⪜(≻⋜(⊺⇮1029⫁⪎⊺⇮4071))⊵↤","cot":[{"info":"⫶⊄≣⊺⇮6397=⊺⇮736700797","layer":3},{"info":"⩷⊺⇮4609=⊺⇮-55387","layer":3},{"info":"⊺⇮736700797⩷∴⊺⇮-55387=⊺⇮1473512336","layer":2},{"info":"⊺⇮1029⫁⪎⊺⇮4071=⊺⇮-3042","layer":3},{"info":"≻⋜⊺⇮-3042=NaN","layer":2},{"info":"⊺⇮1473512336⋕⪉⪜NaN=⊺⇮204","layer":1},{"info":"⊺⇮204⊵↤=⊺⇮358","layer":0}]}
{"id":355,"expression_no_base_symbol":"((⨡↴$1224$)⊲⩕⊾$2061$∥⊢⊲$1653$≳⇉$3031$⪎↠$5257$∌($3385$∀⇚≩$4481$))≦↸((⊬↢(⇐$2596$))⇷(($2341$⪥$8096$)⇗⋫))","expression":"((⨡↴⊺⇮1224)⊲⩕⊾⊺⇮2061∥⊢⊲⊺⇮1653≳⇉⊺⇮3031⪎↠⊺⇮5257∌(⊺⇮3385∀⇚≩⊺⇮4481))≦↸((⊬↢(⇐⊺⇮2596))⇷((⊺⇮2341⪥⊺⇮8096)⇗⋫))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29834,"operation_count":13,"complexity_ratio":2294.923076923077,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1224,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2061,"base":10},"right_expr":{"type":"numeric_atoms","value":1653,"base":10}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3031,"base":10},"right_expr":{"type":"numeric_atoms","value":5257,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3385,"base":10},"right_expr":{"type":"numeric_atoms","value":4481,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2596,"base":10}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2341,"base":10},"right_expr":{"type":"numeric_atoms","value":8096,"base":10}}}}},"used_operators":["RygbFNSyEJ","V0kx6qeWkN","DmTXOeWf9t","liw5iZPkLH","v1UQAVDJRr","8cLx32lpNA","3tVxb0NHM4","LRNGc0VcxI","mp7IySMOzn","WPoGxAaPR1","nmZMaaE0Q9","hpqmaQFPrd","QbnwKVWMIQ"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","P8v4zCKN1o","EBcxylXtPf","rGHVDoGpnC","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rxpJgHHUmx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2273","layer":3},{"info":"number node, value=2061","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=1653, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2273, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"number node, value=3031","layer":4},{"info":"number node, value=5257","layer":4},{"info":"compute binary expreesion, left_input=3031, right_input=5257, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=3385","layer":4},{"info":"number node, value=4481","layer":4},{"info":"compute binary expreesion, left_input=3385, right_input=4481, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=2596","layer":4},{"info":"compute unary expreesion, input=2596, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"number node, value=2341","layer":4},{"info":"number node, value=8096","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=8096, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14016","layer":3},{"info":"compute unary expreesion, input=14016, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨡↴⊺⇮1224)⊲⩕⊾⊺⇮2061∥⊢⊲⊺⇮1653≳⇉⊺⇮3031⪎↠⊺⇮5257∌(⊺⇮3385∀⇚≩⊺⇮4481))≦↸((⊬↢(⇐⊺⇮2596))⇷((⊺⇮2341⪥⊺⇮8096)⇗⋫))=NaN","reverse_text":"NaN=((⨡↴⊺⇮1224)⊲⩕⊾⊺⇮2061∥⊢⊲⊺⇮1653≳⇉⊺⇮3031⪎↠⊺⇮5257∌(⊺⇮3385∀⇚≩⊺⇮4481))≦↸((⊬↢(⇐⊺⇮2596))⇷((⊺⇮2341⪥⊺⇮8096)⇗⋫))","cot":[{"info":"⨡↴⊺⇮1224=⊺⇮2273","layer":3},{"info":"⊺⇮2061∥⊢⊲⊺⇮1653=NaN","layer":3},{"info":"⊺⇮2273⊲⩕⊾NaN=NaN","layer":2},{"info":"⊺⇮3031⪎↠⊺⇮5257=⊺⇮160","layer":3},{"info":"⊺⇮3385∀⇚≩⊺⇮4481=NaN","layer":3},{"info":"⊺⇮160∌NaN=NaN","layer":2},{"info":"NaN≳⇉NaN=NaN","layer":1},{"info":"⇐⊺⇮2596=⊺⇮2802","layer":3},{"info":"⊬↢⊺⇮2802=⊺⇮218","layer":2},{"info":"⊺⇮2341⪥⊺⇮8096=⊺⇮14016","layer":3},{"info":"⊺⇮14016⇗⋫=NaN","layer":2},{"info":"⊺⇮218⇷NaN=NaN","layer":1},{"info":"NaN≦↸NaN=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"⪓⩚($4587$⪝$4077$⪉⨛$3459$⨓$2537$)∘($2038$⊉≛↸$2307$⊭↱($1325$∈))","expression":"⪓⩚(⊺⇮4587⪝⊺⇮4077⪉⨛⊺⇮3459⨓⊺⇮2537)∘(⊺⇮2038⊉≛↸⊺⇮2307⊭↱(⊺⇮1325∈))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6376,"operation_count":8,"complexity_ratio":797.0,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4587,"base":10},"right_expr":{"type":"numeric_atoms","value":4077,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3459,"base":10},"right_expr":{"type":"numeric_atoms","value":2537,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2038,"base":10},"right_expr":{"type":"numeric_atoms","value":2307,"base":10}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1325,"base":10}}}}},"used_operators":["u0R0Locfp2","Z5m6OM72h2","EWw2JM7wp4","wicAB68Tmb","3ViojmjbAp","COABgblf1C","DZ8iAZOCBD","ztP7wcbY7m"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr"],"result":"⊺⇮426","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4587","layer":4},{"info":"number node, value=4077","layer":4},{"info":"compute binary expreesion, left_input=4587, right_input=4077, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2439","layer":3},{"info":"number node, value=3459","layer":4},{"info":"number node, value=2537","layer":4},{"info":"compute binary expreesion, left_input=3459, right_input=2537, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2540","layer":3},{"info":"compute binary expreesion, left_input=-2439, right_input=-2540, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=518","layer":2},{"info":"number node, value=2038","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=2307, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4076","layer":3},{"info":"number node, value=1325","layer":4},{"info":"compute unary expreesion, input=1325, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=3304","layer":3},{"info":"compute binary expreesion, left_input=4076, right_input=3304, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1539","layer":2},{"info":"compute binary expreesion, left_input=518, right_input=-1539, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-138","layer":1},{"info":"compute unary expreesion, input=-138, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":10,"result_base":10,"text":"⪓⩚(⊺⇮4587⪝⊺⇮4077⪉⨛⊺⇮3459⨓⊺⇮2537)∘(⊺⇮2038⊉≛↸⊺⇮2307⊭↱(⊺⇮1325∈))=⊺⇮426","reverse_text":"⊺⇮426=⪓⩚(⊺⇮4587⪝⊺⇮4077⪉⨛⊺⇮3459⨓⊺⇮2537)∘(⊺⇮2038⊉≛↸⊺⇮2307⊭↱(⊺⇮1325∈))","cot":[{"info":"⊺⇮4587⪝⊺⇮4077=⊺⇮-2439","layer":3},{"info":"⊺⇮3459⨓⊺⇮2537=⊺⇮-2540","layer":3},{"info":"⊺⇮-2439⪉⨛⊺⇮-2540=⊺⇮518","layer":2},{"info":"⊺⇮2038⊉≛↸⊺⇮2307=⊺⇮4076","layer":3},{"info":"⊺⇮1325∈=⊺⇮3304","layer":3},{"info":"⊺⇮4076⊭↱⊺⇮3304=⊺⇮-1539","layer":2},{"info":"⊺⇮518∘⊺⇮-1539=⊺⇮-138","layer":1},{"info":"⪓⩚⊺⇮-138=⊺⇮426","layer":0}]}
{"id":357,"expression_no_base_symbol":"(($1149$⊾⪯⋞$1371$)∛$2007$⪒⊣⊆$2305$)⨂≜($3886$≀⫉$4201$↸$2313$+⪬∐$1009$)⪉⨛(∨∊⋏($3117$⫳≱↱$1592$))⋕⪉⪜($2161$≚⊃≕$3934$⊬⫿⊭)","expression":"((⊺⇮1149⊾⪯⋞⊺⇮1371)∛⊺⇮2007⪒⊣⊆⊺⇮2305)⨂≜(⊺⇮3886≀⫉⊺⇮4201↸⊺⇮2313+⪬∐⊺⇮1009)⪉⨛(∨∊⋏(⊺⇮3117⫳≱↱⊺⇮1592))⋕⪉⪜(⊺⇮2161≚⊃≕⊺⇮3934⊬⫿⊭)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4324,"operation_count":13,"complexity_ratio":332.61538461538464,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1149,"base":10},"right_expr":{"type":"numeric_atoms","value":1371,"base":10}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2007,"base":10},"right_expr":{"type":"numeric_atoms","value":2305,"base":10}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3886,"base":10},"right_expr":{"type":"numeric_atoms","value":4201,"base":10}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2313,"base":10},"right_expr":{"type":"numeric_atoms","value":1009,"base":10}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3117,"base":10},"right_expr":{"type":"numeric_atoms","value":1592,"base":10}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2161,"base":10},"right_expr":{"type":"numeric_atoms","value":3934,"base":10}}}}},"used_operators":["EWw2JM7wp4","k1SHOSEABc","w2537kitQq","HK0tfVPux8","eRqsBgTDFp","1eCjFl0mb9","oZj3VtZNQx","2GS7woTJqF","z6LnFrNh4i","R5aXW34M0v","ZvLB05nZmT","v0DYgG9ikt","Bmrmz2XGnR"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","g55IO6H4Gj","D4vGDi5EA2","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1371, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2316","layer":3},{"info":"number node, value=2007","layer":4},{"info":"number node, value=2305","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=2305, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4014","layer":3},{"info":"compute binary expreesion, left_input=2316, right_input=4014, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":2},{"info":"number node, value=3886","layer":4},{"info":"number node, value=4201","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=4201, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2313","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=1009, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6939","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-6939, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-670, right_input=2822, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=3117","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=3117, right_input=1592, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-16201","layer":2},{"info":"number node, value=2161","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=3934, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=145","layer":2},{"info":"compute binary expreesion, left_input=-16201, right_input=145, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1149⊾⪯⋞⊺⇮1371)∛⊺⇮2007⪒⊣⊆⊺⇮2305)⨂≜(⊺⇮3886≀⫉⊺⇮4201↸⊺⇮2313+⪬∐⊺⇮1009)⪉⨛(∨∊⋏(⊺⇮3117⫳≱↱⊺⇮1592))⋕⪉⪜(⊺⇮2161≚⊃≕⊺⇮3934⊬⫿⊭)=NaN","reverse_text":"NaN=((⊺⇮1149⊾⪯⋞⊺⇮1371)∛⊺⇮2007⪒⊣⊆⊺⇮2305)⨂≜(⊺⇮3886≀⫉⊺⇮4201↸⊺⇮2313+⪬∐⊺⇮1009)⪉⨛(∨∊⋏(⊺⇮3117⫳≱↱⊺⇮1592))⋕⪉⪜(⊺⇮2161≚⊃≕⊺⇮3934⊬⫿⊭)","cot":[{"info":"⊺⇮1149⊾⪯⋞⊺⇮1371=⊺⇮2316","layer":3},{"info":"⊺⇮2007⪒⊣⊆⊺⇮2305=⊺⇮4014","layer":3},{"info":"⊺⇮2316∛⊺⇮4014=⊺⇮-670","layer":2},{"info":"⊺⇮3886≀⫉⊺⇮4201=⊺⇮2822","layer":3},{"info":"⊺⇮2313+⪬∐⊺⇮1009=⊺⇮-6939","layer":3},{"info":"⊺⇮2822↸⊺⇮-6939=⊺⇮2822","layer":2},{"info":"⊺⇮-670⨂≜⊺⇮2822=NaN","layer":1},{"info":"⊺⇮3117⫳≱↱⊺⇮1592=⊺⇮-204","layer":3},{"info":"∨∊⋏⊺⇮-204=⊺⇮-16201","layer":2},{"info":"⊺⇮2161≚⊃≕⊺⇮3934=⊺⇮67","layer":3},{"info":"⊺⇮67⊬⫿⊭=⊺⇮145","layer":2},{"info":"⊺⇮-16201⋕⪉⪜⊺⇮145=⊺⇮204","layer":1},{"info":"NaN⪉⨛⊺⇮204=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"⪓⩚(→⩰$1011$∣$3030$)⪒⊣⊆($1405$⨒$4799$)≝⊿($2673$∖$3429$)","expression":"⪓⩚(→⩰⊺⇮1011∣⊺⇮3030)⪒⊣⊆(⊺⇮1405⨒⊺⇮4799)≝⊿(⊺⇮2673∖⊺⇮3429)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5252,"operation_count":7,"complexity_ratio":750.2857142857143,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1011,"base":10},"right_expr":{"type":"numeric_atoms","value":3030,"base":10}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1405,"base":10},"right_expr":{"type":"numeric_atoms","value":4799,"base":10}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2673,"base":10},"right_expr":{"type":"numeric_atoms","value":3429,"base":10}}}}},"used_operators":["u0R0Locfp2","eRqsBgTDFp","o8Pngz0Tml","PPChnnnBFF","OKKcZfAt5B","y75s1iXyHd","tXD093vOjl"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","12rbrZMWeM","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⊺⇮426","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=3030, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1011","layer":3},{"info":"compute unary expreesion, input=1011, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=1405","layer":4},{"info":"number node, value=4799","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=4799, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-8058","layer":3},{"info":"number node, value=2673","layer":4},{"info":"number node, value=3429","layer":4},{"info":"compute binary expreesion, left_input=2673, right_input=3429, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8058, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=7525","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7525, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":10,"result_base":10,"text":"⪓⩚(→⩰⊺⇮1011∣⊺⇮3030)⪒⊣⊆(⊺⇮1405⨒⊺⇮4799)≝⊿(⊺⇮2673∖⊺⇮3429)=⊺⇮426","reverse_text":"⊺⇮426=⪓⩚(→⩰⊺⇮1011∣⊺⇮3030)⪒⊣⊆(⊺⇮1405⨒⊺⇮4799)≝⊿(⊺⇮2673∖⊺⇮3429)","cot":[{"info":"⊺⇮1011∣⊺⇮3030=⊺⇮1011","layer":3},{"info":"→⩰⊺⇮1011=NaN","layer":2},{"info":"⊺⇮1405⨒⊺⇮4799=⊺⇮-8058","layer":3},{"info":"⊺⇮2673∖⊺⇮3429=⊺⇮0","layer":3},{"info":"⊺⇮-8058≝⊿⊺⇮0=⊺⇮7525","layer":2},{"info":"NaN⪒⊣⊆⊺⇮7525=NaN","layer":1},{"info":"⪓⩚NaN=⊺⇮426","layer":0}]}
{"id":359,"expression_no_base_symbol":"(($9509$⊍)≧⫂∧($3609$⫦⪉$3983$)⩟)∌↝($1621$⊴$4107$⨔≚≋($7235$+⇶⊼$5605$)⫦⪉($5268$↡⊰⫅$2988$)⪢($1276$∝$3422$))","expression":"((⊺⇮9509⊍)≧⫂∧(⊺⇮3609⫦⪉⊺⇮3983)⩟)∌↝(⊺⇮1621⊴⊺⇮4107⨔≚≋(⊺⇮7235+⇶⊼⊺⇮5605)⫦⪉(⊺⇮5268↡⊰⫅⊺⇮2988)⪢(⊺⇮1276∝⊺⇮3422))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":47878,"operation_count":12,"complexity_ratio":3989.8333333333335,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":9509,"base":10}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3609,"base":10},"right_expr":{"type":"numeric_atoms","value":3983,"base":10}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1621,"base":10},"right_expr":{"type":"numeric_atoms","value":4107,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7235,"base":10},"right_expr":{"type":"numeric_atoms","value":5605,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":5268,"base":10},"right_expr":{"type":"numeric_atoms","value":2988,"base":10}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1276,"base":10},"right_expr":{"type":"numeric_atoms","value":3422,"base":10}}}}},"used_operators":["9Isq31Ruls","fOIeswaMU4","Ph9nP6C5qx","3nqY3DE9mg","wscyQdcy20","Z57zeUYC9z","Nsiff2A1zJ","TpPTUOHfaN","dWAJyo7jo9","VCtxkLNOzz","cTDWOvIxvz"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⊺⇮-261258","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9509","layer":4},{"info":"compute unary expreesion, input=9509, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=26847","layer":3},{"info":"number node, value=3609","layer":4},{"info":"number node, value=3983","layer":4},{"info":"compute binary expreesion, left_input=3609, right_input=3983, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2318","layer":3},{"info":"compute binary expreesion, left_input=26847, right_input=-2318, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=29165","layer":2},{"info":"compute unary expreesion, input=29165, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-261258","layer":1},{"info":"number node, value=1621","layer":4},{"info":"number node, value=4107","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=4107, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7235","layer":4},{"info":"number node, value=5605","layer":4},{"info":"compute binary expreesion, left_input=7235, right_input=5605, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=5268","layer":4},{"info":"number node, value=2988","layer":4},{"info":"compute binary expreesion, left_input=5268, right_input=2988, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5976","layer":3},{"info":"number node, value=1276","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=3422, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1281","layer":3},{"info":"compute binary expreesion, left_input=5976, right_input=1281, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-261258, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-261258","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮9509⊍)≧⫂∧(⊺⇮3609⫦⪉⊺⇮3983)⩟)∌↝(⊺⇮1621⊴⊺⇮4107⨔≚≋(⊺⇮7235+⇶⊼⊺⇮5605)⫦⪉(⊺⇮5268↡⊰⫅⊺⇮2988)⪢(⊺⇮1276∝⊺⇮3422))=⊺⇮-261258","reverse_text":"⊺⇮-261258=((⊺⇮9509⊍)≧⫂∧(⊺⇮3609⫦⪉⊺⇮3983)⩟)∌↝(⊺⇮1621⊴⊺⇮4107⨔≚≋(⊺⇮7235+⇶⊼⊺⇮5605)⫦⪉(⊺⇮5268↡⊰⫅⊺⇮2988)⪢(⊺⇮1276∝⊺⇮3422))","cot":[{"info":"⊺⇮9509⊍=⊺⇮26847","layer":3},{"info":"⊺⇮3609⫦⪉⊺⇮3983=⊺⇮-2318","layer":3},{"info":"⊺⇮26847≧⫂∧⊺⇮-2318=⊺⇮29165","layer":2},{"info":"⊺⇮29165⩟=⊺⇮-261258","layer":1},{"info":"⊺⇮1621⊴⊺⇮4107=NaN","layer":3},{"info":"⊺⇮7235+⇶⊼⊺⇮5605=NaN","layer":3},{"info":"NaN⨔≚≋NaN=NaN","layer":2},{"info":"⊺⇮5268↡⊰⫅⊺⇮2988=⊺⇮5976","layer":3},{"info":"⊺⇮1276∝⊺⇮3422=⊺⇮1281","layer":3},{"info":"⊺⇮5976⪢⊺⇮1281=NaN","layer":2},{"info":"NaN⫦⪉NaN=NaN","layer":1},{"info":"⊺⇮-261258∌↝NaN=⊺⇮-261258","layer":0}]}
{"id":360,"expression_no_base_symbol":"($1266$⩼⇪↪$3337$)⪬($1515$↙$9536$)⩣⫁∢($2032$⇂≾⫗$1258$⪭≯($1696$/$1412$))⨓(($1740$⩍⋽⫝̸$1006$⪠⩆⊳)⨐⩸⫘$5596$⩖⊿$2553$⊬⨰($2156$⩵∡$7966$))","expression":"(⊺⇮1266⩼⇪↪⊺⇮3337)⪬(⊺⇮1515↙⊺⇮9536)⩣⫁∢(⊺⇮2032⇂≾⫗⊺⇮1258⪭≯(⊺⇮1696/⊺⇮1412))⨓((⊺⇮1740⩍⋽⫝̸⊺⇮1006⪠⩆⊳)⨐⩸⫘⊺⇮5596⩖⊿⊺⇮2553⊬⨰(⊺⇮2156⩵∡⊺⇮7966))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":17795,"operation_count":14,"complexity_ratio":1271.0714285714287,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1266,"base":10},"right_expr":{"type":"numeric_atoms","value":3337,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1515,"base":10},"right_expr":{"type":"numeric_atoms","value":9536,"base":10}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2032,"base":10},"right_expr":{"type":"numeric_atoms","value":1258,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1696,"base":10},"right_expr":{"type":"numeric_atoms","value":1412,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1740,"base":10},"right_expr":{"type":"numeric_atoms","value":1006,"base":10}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5596,"base":10},"right_expr":{"type":"numeric_atoms","value":2553,"base":10}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2156,"base":10},"right_expr":{"type":"numeric_atoms","value":7966,"base":10}}}}},"used_operators":["3ViojmjbAp","JDUIKTTSIa","Ez1Nq5fNfI","ocnLzx9CaJ","yyfyN0ffXY","XAx5wpdLa6","aBQ6xLxuTc","XhwjNDsVaA","fu6greOZ01","JLbD19bQDL","BiWNJpBvwn","s3Fd5m9Dh2","RZ5CV9rWsJ","Y7wcNGrDQJ"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1266","layer":4},{"info":"number node, value=3337","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=3337, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-21610","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=9536","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=9536, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-28608","layer":3},{"info":"compute binary expreesion, left_input=-21610, right_input=-28608, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=2032","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=1258, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1696","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=1412, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=1, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"number node, value=1740","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1740, right_input=1006, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=60","layer":3},{"info":"compute unary expreesion, input=60, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=5596","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=5596, right_input=2553, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-2042","layer":3},{"info":"number node, value=2156","layer":4},{"info":"number node, value=7966","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=7966, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3533","layer":3},{"info":"compute binary expreesion, left_input=-2042, right_input=3533, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=10048","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=10048, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1266⩼⇪↪⊺⇮3337)⪬(⊺⇮1515↙⊺⇮9536)⩣⫁∢(⊺⇮2032⇂≾⫗⊺⇮1258⪭≯(⊺⇮1696/⊺⇮1412))⨓((⊺⇮1740⩍⋽⫝̸⊺⇮1006⪠⩆⊳)⨐⩸⫘⊺⇮5596⩖⊿⊺⇮2553⊬⨰(⊺⇮2156⩵∡⊺⇮7966))=NaN","reverse_text":"NaN=(⊺⇮1266⩼⇪↪⊺⇮3337)⪬(⊺⇮1515↙⊺⇮9536)⩣⫁∢(⊺⇮2032⇂≾⫗⊺⇮1258⪭≯(⊺⇮1696/⊺⇮1412))⨓((⊺⇮1740⩍⋽⫝̸⊺⇮1006⪠⩆⊳)⨐⩸⫘⊺⇮5596⩖⊿⊺⇮2553⊬⨰(⊺⇮2156⩵∡⊺⇮7966))","cot":[{"info":"⊺⇮1266⩼⇪↪⊺⇮3337=⊺⇮-21610","layer":3},{"info":"⊺⇮1515↙⊺⇮9536=⊺⇮-28608","layer":3},{"info":"⊺⇮-21610⪬⊺⇮-28608=⊺⇮1234","layer":2},{"info":"⊺⇮2032⇂≾⫗⊺⇮1258=⊺⇮-676","layer":3},{"info":"⊺⇮1696/⊺⇮1412=⊺⇮1","layer":3},{"info":"⊺⇮-676⪭≯⊺⇮1=NaN","layer":2},{"info":"⊺⇮1234⩣⫁∢NaN=NaN","layer":1},{"info":"⊺⇮1740⩍⋽⫝̸⊺⇮1006=⊺⇮60","layer":3},{"info":"⊺⇮60⪠⩆⊳=⊺⇮0","layer":2},{"info":"⊺⇮5596⩖⊿⊺⇮2553=⊺⇮-2042","layer":3},{"info":"⊺⇮2156⩵∡⊺⇮7966=⊺⇮3533","layer":3},{"info":"⊺⇮-2042⊬⨰⊺⇮3533=⊺⇮10048","layer":2},{"info":"⊺⇮0⨐⩸⫘⊺⇮10048=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":361,"expression_no_base_symbol":"($4156$∠⫱$4812$↺$3725$≁↽≥$4743$⪨≂($2296$∠↢$3048$)+⪬∐($1988$⊟⇱))⋕⪉⪜((⩦⩻⨪$3648$)%$1669$⊢$6106$)≁↽≥(($2943$⪕$6909$)⋣⋖($5131$⪠⩆⊳))","expression":"(⊺⇮4156∠⫱⊺⇮4812↺⊺⇮3725≁↽≥⊺⇮4743⪨≂(⊺⇮2296∠↢⊺⇮3048)+⪬∐(⊺⇮1988⊟⇱))⋕⪉⪜((⩦⩻⨪⊺⇮3648)%⊺⇮1669⊢⊺⇮6106)≁↽≥((⊺⇮2943⪕⊺⇮6909)⋣⋖(⊺⇮5131⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":215,"operation_count":15,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4156,"base":10},"right_expr":{"type":"numeric_atoms","value":4812,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3725,"base":10},"right_expr":{"type":"numeric_atoms","value":4743,"base":10}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2296,"base":10},"right_expr":{"type":"numeric_atoms","value":3048,"base":10}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":1988,"base":10}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3648,"base":10}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1669,"base":10},"right_expr":{"type":"numeric_atoms","value":6106,"base":10}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2943,"base":10},"right_expr":{"type":"numeric_atoms","value":6909,"base":10}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5131,"base":10}}}}},"used_operators":["z6LnFrNh4i","sdazOOVcIp","7j4O788W3g","QvoQhV0rrE","ncHt1X6cMc","2GS7woTJqF","KbjG8mgYpV","03sUfWo75k","k8jYdgA6NY","2td37pGCOC","5twsqlHp2o","J0M6qkBnIM","umQnsF7QlU","JLbD19bQDL"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","oWn0xqSxBt","3Oe9XWJUTD","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","IWmyXbctLI","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮204","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4156","layer":4},{"info":"number node, value=4812","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=4812, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3725","layer":4},{"info":"number node, value=4743","layer":4},{"info":"compute binary expreesion, left_input=3725, right_input=4743, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=65807","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=65807, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=65807","layer":2},{"info":"number node, value=2296","layer":4},{"info":"number node, value=3048","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3048, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-50774","layer":3},{"info":"number node, value=1988","layer":4},{"info":"compute unary expreesion, input=1988, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=4292","layer":3},{"info":"compute binary expreesion, left_input=-50774, right_input=4292, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=152322","layer":2},{"info":"compute binary expreesion, left_input=65807, right_input=152322, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-172928","layer":1},{"info":"number node, value=3648","layer":4},{"info":"compute unary expreesion, input=3648, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3648","layer":3},{"info":"number node, value=1669","layer":4},{"info":"number node, value=6106","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=6106, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3582","layer":3},{"info":"compute binary expreesion, left_input=3648, right_input=-3582, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3516","layer":2},{"info":"number node, value=2943","layer":4},{"info":"number node, value=6909","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=6909, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=5131","layer":4},{"info":"compute unary expreesion, input=5131, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-3516, right_input=-55, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-172928, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4156∠⫱⊺⇮4812↺⊺⇮3725≁↽≥⊺⇮4743⪨≂(⊺⇮2296∠↢⊺⇮3048)+⪬∐(⊺⇮1988⊟⇱))⋕⪉⪜((⩦⩻⨪⊺⇮3648)%⊺⇮1669⊢⊺⇮6106)≁↽≥((⊺⇮2943⪕⊺⇮6909)⋣⋖(⊺⇮5131⪠⩆⊳))=⊺⇮204","reverse_text":"⊺⇮204=(⊺⇮4156∠⫱⊺⇮4812↺⊺⇮3725≁↽≥⊺⇮4743⪨≂(⊺⇮2296∠↢⊺⇮3048)+⪬∐(⊺⇮1988⊟⇱))⋕⪉⪜((⩦⩻⨪⊺⇮3648)%⊺⇮1669⊢⊺⇮6106)≁↽≥((⊺⇮2943⪕⊺⇮6909)⋣⋖(⊺⇮5131⪠⩆⊳))","cot":[{"info":"⊺⇮4156∠⫱⊺⇮4812=⊺⇮1234","layer":3},{"info":"⊺⇮3725≁↽≥⊺⇮4743=⊺⇮65807","layer":3},{"info":"⊺⇮1234↺⊺⇮65807=⊺⇮65807","layer":2},{"info":"⊺⇮2296∠↢⊺⇮3048=⊺⇮-50774","layer":3},{"info":"⊺⇮1988⊟⇱=⊺⇮4292","layer":3},{"info":"⊺⇮-50774+⪬∐⊺⇮4292=⊺⇮152322","layer":2},{"info":"⊺⇮65807⪨≂⊺⇮152322=⊺⇮-172928","layer":1},{"info":"⩦⩻⨪⊺⇮3648=⊺⇮3648","layer":3},{"info":"⊺⇮1669⊢⊺⇮6106=⊺⇮-3582","layer":3},{"info":"⊺⇮3648%⊺⇮-3582=⊺⇮-3516","layer":2},{"info":"⊺⇮2943⪕⊺⇮6909=⊺⇮-55","layer":3},{"info":"⊺⇮5131⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮-55⋣⋖⊺⇮0=⊺⇮-55","layer":2},{"info":"⊺⇮-3516≁↽≥⊺⇮-55=⊺⇮0","layer":1},{"info":"⊺⇮-172928⋕⪉⪜⊺⇮0=⊺⇮204","layer":0}]}
{"id":362,"expression_no_base_symbol":"((($2985$⩢≌)↙$1145$⪝$1775$)⩚⊴⇥(≅≯⇸$6392$↞⋁$7456$))⊕∕(($4533$∙⊟$2082$)⊨($2235$⫥∨⫟$4413$)⫃⨇($6998$⊴$1351$⪒$4022$⫉⨲⊜$8765$))","expression":"(((⊺⇮2985⩢≌)↙⊺⇮1145⪝⊺⇮1775)⩚⊴⇥(≅≯⇸⊺⇮6392↞⋁⊺⇮7456))⊕∕((⊺⇮4533∙⊟⊺⇮2082)⊨(⊺⇮2235⫥∨⫟⊺⇮4413)⫃⨇(⊺⇮6998⊴⊺⇮1351⪒⊺⇮4022⫉⨲⊜⊺⇮8765))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":11897,"operation_count":14,"complexity_ratio":849.7857142857143,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2985,"base":10}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1145,"base":10},"right_expr":{"type":"numeric_atoms","value":1775,"base":10}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":6392,"base":10},"right_expr":{"type":"numeric_atoms","value":7456,"base":10}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4533,"base":10},"right_expr":{"type":"numeric_atoms","value":2082,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2235,"base":10},"right_expr":{"type":"numeric_atoms","value":4413,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6998,"base":10},"right_expr":{"type":"numeric_atoms","value":1351,"base":10}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4022,"base":10},"right_expr":{"type":"numeric_atoms","value":8765,"base":10}}}}},"used_operators":["9cloC0Ngie","NTOWxs364D","yyfyN0ffXY","D617RFjZIq","wicAB68Tmb","apS25hmuAe","RqrPlJkxDo","09Ly4LVMIf","vg4gO5BX6G","SxTAKzQCrw","KYD54nUTWz","f6k1SAg4EE","Nsiff2A1zJ","WhqkvtTD3t"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","hTbEZDJLEm","o20kRiQErp","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","EBcxylXtPf","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2985","layer":4},{"info":"compute unary expreesion, input=2985, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=1775, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=237, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-711","layer":2},{"info":"number node, value=6392","layer":4},{"info":"number node, value=7456","layer":4},{"info":"compute binary expreesion, left_input=6392, right_input=7456, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-711, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=4533","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=4533, right_input=2082, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=68775","layer":3},{"info":"number node, value=2235","layer":4},{"info":"number node, value=4413","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=4413, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=68775, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=276131","layer":2},{"info":"number node, value=6998","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=6998, right_input=1351, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4022","layer":4},{"info":"number node, value=8765","layer":4},{"info":"compute binary expreesion, left_input=4022, right_input=8765, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=276131, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2985⩢≌)↙⊺⇮1145⪝⊺⇮1775)⩚⊴⇥(≅≯⇸⊺⇮6392↞⋁⊺⇮7456))⊕∕((⊺⇮4533∙⊟⊺⇮2082)⊨(⊺⇮2235⫥∨⫟⊺⇮4413)⫃⨇(⊺⇮6998⊴⊺⇮1351⪒⊺⇮4022⫉⨲⊜⊺⇮8765))=NaN","reverse_text":"NaN=(((⊺⇮2985⩢≌)↙⊺⇮1145⪝⊺⇮1775)⩚⊴⇥(≅≯⇸⊺⇮6392↞⋁⊺⇮7456))⊕∕((⊺⇮4533∙⊟⊺⇮2082)⊨(⊺⇮2235⫥∨⫟⊺⇮4413)⫃⨇(⊺⇮6998⊴⊺⇮1351⪒⊺⇮4022⫉⨲⊜⊺⇮8765))","cot":[{"info":"⊺⇮2985⩢≌=⊺⇮113","layer":3},{"info":"⊺⇮1145⪝⊺⇮1775=⊺⇮237","layer":3},{"info":"⊺⇮113↙⊺⇮237=⊺⇮-711","layer":2},{"info":"⊺⇮6392↞⋁⊺⇮7456=NaN","layer":3},{"info":"≅≯⇸NaN=NaN","layer":2},{"info":"⊺⇮-711⩚⊴⇥NaN=NaN","layer":1},{"info":"⊺⇮4533∙⊟⊺⇮2082=⊺⇮68775","layer":3},{"info":"⊺⇮2235⫥∨⫟⊺⇮4413=NaN","layer":3},{"info":"⊺⇮68775⊨NaN=⊺⇮276131","layer":2},{"info":"⊺⇮6998⊴⊺⇮1351=NaN","layer":3},{"info":"⊺⇮4022⫉⨲⊜⊺⇮8765=⊺⇮0","layer":3},{"info":"NaN⪒⊺⇮0=NaN","layer":2},{"info":"⊺⇮276131⫃⨇NaN=NaN","layer":1},{"info":"NaN⊕∕NaN=NaN","layer":0}]}
{"id":363,"expression_no_base_symbol":"(($1088$⇴∐$3875$⊉≛↸(⪹$6655$))⨐⩸⫘($1184$∘$2467$)⨿($1191$⇤$2775$))⨲∙","expression":"((⊺⇮1088⇴∐⊺⇮3875⊉≛↸(⪹⊺⇮6655))⨐⩸⫘(⊺⇮1184∘⊺⇮2467)⨿(⊺⇮1191⇤⊺⇮2775))⨲∙","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":104399,"operation_count":8,"complexity_ratio":13049.875,"tree":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1088,"base":10},"right_expr":{"type":"numeric_atoms","value":3875,"base":10}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":6655,"base":10}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1184,"base":10},"right_expr":{"type":"numeric_atoms","value":2467,"base":10}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1191,"base":10},"right_expr":{"type":"numeric_atoms","value":2775,"base":10}}}}},"used_operators":["cRahaglYVE","fu6greOZ01","DZ8iAZOCBD","HnzytWxmAO","USyYr0JgAa","abYXlopdE0","Z5m6OM72h2","YSKBFp38Pu"],"dependent_operators":["XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","tifHPKVTfV","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⊺⇮2591278","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=3875","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=3875, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=6655","layer":4},{"info":"compute unary expreesion, input=6655, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-6475","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6475, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=1184","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=2467, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2368","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=2775, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-16982","layer":3},{"info":"compute binary expreesion, left_input=2368, right_input=-16982, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=322","layer":1},{"info":"compute unary expreesion, input=322, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=2591278","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1088⇴∐⊺⇮3875⊉≛↸(⪹⊺⇮6655))⨐⩸⫘(⊺⇮1184∘⊺⇮2467)⨿(⊺⇮1191⇤⊺⇮2775))⨲∙=⊺⇮2591278","reverse_text":"⊺⇮2591278=((⊺⇮1088⇴∐⊺⇮3875⊉≛↸(⪹⊺⇮6655))⨐⩸⫘(⊺⇮1184∘⊺⇮2467)⨿(⊺⇮1191⇤⊺⇮2775))⨲∙","cot":[{"info":"⊺⇮1088⇴∐⊺⇮3875=NaN","layer":3},{"info":"⪹⊺⇮6655=⊺⇮-6475","layer":3},{"info":"NaN⊉≛↸⊺⇮-6475=NaN","layer":2},{"info":"⊺⇮1184∘⊺⇮2467=⊺⇮2368","layer":3},{"info":"⊺⇮1191⇤⊺⇮2775=⊺⇮-16982","layer":3},{"info":"⊺⇮2368⨿⊺⇮-16982=⊺⇮-319","layer":2},{"info":"NaN⨐⩸⫘⊺⇮-319=⊺⇮322","layer":1},{"info":"⊺⇮322⨲∙=⊺⇮2591278","layer":0}]}
{"id":364,"expression_no_base_symbol":"(⊑(⊁⨺$1555$⇻⋧≁$6056$))⩼⇪↪(($1252$⩚⊴⇥$1845$⨔≚≋($2708$⫃⨇$7786$))∋(($2643$∷$1999$)⨔≚≋$1194$⪘⫢$5600$))","expression":"(⊑(⊁⨺⊺⇮1555⇻⋧≁⊺⇮6056))⩼⇪↪((⊺⇮1252⩚⊴⇥⊺⇮1845⨔≚≋(⊺⇮2708⫃⨇⊺⇮7786))∋((⊺⇮2643∷⊺⇮1999)⨔≚≋⊺⇮1194⪘⫢⊺⇮5600))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2250,"operation_count":11,"complexity_ratio":204.54545454545453,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1555,"base":10},"right_expr":{"type":"numeric_atoms","value":6056,"base":10}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1252,"base":10},"right_expr":{"type":"numeric_atoms","value":1845,"base":10}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2708,"base":10},"right_expr":{"type":"numeric_atoms","value":7786,"base":10}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2643,"base":10},"right_expr":{"type":"numeric_atoms","value":1999,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1194,"base":10},"right_expr":{"type":"numeric_atoms","value":5600,"base":10}}}}},"used_operators":["ocnLzx9CaJ","IkUmn0D7oy","PxiHyQbrIp","jCPkEVoL5K","ukq6epAj5P","Z57zeUYC9z","NTOWxs364D","09Ly4LVMIf","D3AQDKkPcf","oacrs7FA3X"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","NTOWxs364D","7j4O788W3g","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⊺⇮-251329687","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":4},{"info":"number node, value=6056","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=6056, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-2346","layer":2},{"info":"compute unary expreesion, input=-2346, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=1252","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=1845, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3218","layer":3},{"info":"number node, value=2708","layer":4},{"info":"number node, value=7786","layer":4},{"info":"compute binary expreesion, left_input=2708, right_input=7786, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-31176","layer":3},{"info":"compute binary expreesion, left_input=-3218, right_input=-31176, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=298136","layer":2},{"info":"number node, value=2643","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=1999, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1999","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=5600","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=5600, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2264","layer":3},{"info":"compute binary expreesion, left_input=1999, right_input=2264, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=298136, right_input=9872, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=35904184","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=35904184, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-251329687","layer":0}],"base":10,"result_base":10,"text":"(⊑(⊁⨺⊺⇮1555⇻⋧≁⊺⇮6056))⩼⇪↪((⊺⇮1252⩚⊴⇥⊺⇮1845⨔≚≋(⊺⇮2708⫃⨇⊺⇮7786))∋((⊺⇮2643∷⊺⇮1999)⨔≚≋⊺⇮1194⪘⫢⊺⇮5600))=⊺⇮-251329687","reverse_text":"⊺⇮-251329687=(⊑(⊁⨺⊺⇮1555⇻⋧≁⊺⇮6056))⩼⇪↪((⊺⇮1252⩚⊴⇥⊺⇮1845⨔≚≋(⊺⇮2708⫃⨇⊺⇮7786))∋((⊺⇮2643∷⊺⇮1999)⨔≚≋⊺⇮1194⪘⫢⊺⇮5600))","cot":[{"info":"⊺⇮1555⇻⋧≁⊺⇮6056=⊺⇮-447","layer":3},{"info":"⊁⨺⊺⇮-447=⊺⇮-2346","layer":2},{"info":"⊑⊺⇮-2346=⊺⇮192","layer":1},{"info":"⊺⇮1252⩚⊴⇥⊺⇮1845=⊺⇮-3218","layer":3},{"info":"⊺⇮2708⫃⨇⊺⇮7786=⊺⇮-31176","layer":3},{"info":"⊺⇮-3218⨔≚≋⊺⇮-31176=⊺⇮298136","layer":2},{"info":"⊺⇮2643∷⊺⇮1999=⊺⇮1999","layer":3},{"info":"⊺⇮1194⪘⫢⊺⇮5600=⊺⇮2264","layer":3},{"info":"⊺⇮1999⨔≚≋⊺⇮2264=⊺⇮9872","layer":2},{"info":"⊺⇮298136∋⊺⇮9872=⊺⇮35904184","layer":1},{"info":"⊺⇮192⩼⇪↪⊺⇮35904184=⊺⇮-251329687","layer":0}]}
{"id":365,"expression_no_base_symbol":"($1787$⋥⋵⩄$6795$⫰⋱$3604$∣$8107$)⋹⋡⊁(($4487$↰)⩤)∊∟⩊(($3933$∕⩚$1045$)⨔⇊($2344$⨻⩈⩔$4694$)⊍⩺⋍$4310$≎⪠$3315$↹⊜(⊖$1072$))","expression":"(⊺⇮1787⋥⋵⩄⊺⇮6795⫰⋱⊺⇮3604∣⊺⇮8107)⋹⋡⊁((⊺⇮4487↰)⩤)∊∟⩊((⊺⇮3933∕⩚⊺⇮1045)⨔⇊(⊺⇮2344⨻⩈⩔⊺⇮4694)⊍⩺⋍⊺⇮4310≎⪠⊺⇮3315↹⊜(⊖⊺⇮1072))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":23484,"operation_count":14,"complexity_ratio":1677.4285714285713,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1787,"base":10},"right_expr":{"type":"numeric_atoms","value":6795,"base":10}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3604,"base":10},"right_expr":{"type":"numeric_atoms","value":8107,"base":10}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":4487,"base":10}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3933,"base":10},"right_expr":{"type":"numeric_atoms","value":1045,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2344,"base":10},"right_expr":{"type":"numeric_atoms","value":4694,"base":10}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4310,"base":10},"right_expr":{"type":"numeric_atoms","value":3315,"base":10}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1072,"base":10}}}}},"used_operators":["ddLRYrp01A","As8RqfVLgs","6o9Blt3TJ6","7t3wd0Fuz7","PPChnnnBFF","Z2TMIBDE3Q","bl5wxAcryP","OXDGMFPWZM","JclMnS0uGI","z9ffQ9n5Zr","nEsXyWgiOK","9bazX3JMtO","aNhz54LH3e","U6pG0PXrV3"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","Z2TMIBDE3Q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"⊺⇮49","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1787","layer":4},{"info":"number node, value=6795","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=6795, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=3604","layer":4},{"info":"number node, value=8107","layer":4},{"info":"compute binary expreesion, left_input=3604, right_input=8107, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3604","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=3604, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-80","layer":2},{"info":"number node, value=4487","layer":4},{"info":"compute unary expreesion, input=4487, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=4386","layer":3},{"info":"compute unary expreesion, input=4386, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4386","layer":2},{"info":"compute binary expreesion, left_input=-80, right_input=-4386, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1018","layer":1},{"info":"number node, value=3933","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=1045, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3936","layer":3},{"info":"number node, value=2344","layer":4},{"info":"number node, value=4694","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=4694, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10351","layer":3},{"info":"compute binary expreesion, left_input=-3936, right_input=10351, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=10351","layer":2},{"info":"number node, value=4310","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=4310, right_input=3315, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=39020","layer":2},{"info":"compute binary expreesion, left_input=10351, right_input=39020, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1018, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=49","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1787⋥⋵⩄⊺⇮6795⫰⋱⊺⇮3604∣⊺⇮8107)⋹⋡⊁((⊺⇮4487↰)⩤)∊∟⩊((⊺⇮3933∕⩚⊺⇮1045)⨔⇊(⊺⇮2344⨻⩈⩔⊺⇮4694)⊍⩺⋍⊺⇮4310≎⪠⊺⇮3315↹⊜(⊖⊺⇮1072))=⊺⇮49","reverse_text":"⊺⇮49=(⊺⇮1787⋥⋵⩄⊺⇮6795⫰⋱⊺⇮3604∣⊺⇮8107)⋹⋡⊁((⊺⇮4487↰)⩤)∊∟⩊((⊺⇮3933∕⩚⊺⇮1045)⨔⇊(⊺⇮2344⨻⩈⩔⊺⇮4694)⊍⩺⋍⊺⇮4310≎⪠⊺⇮3315↹⊜(⊖⊺⇮1072))","cot":[{"info":"⊺⇮1787⋥⋵⩄⊺⇮6795=⊺⇮113","layer":3},{"info":"⊺⇮3604∣⊺⇮8107=⊺⇮3604","layer":3},{"info":"⊺⇮113⫰⋱⊺⇮3604=⊺⇮-80","layer":2},{"info":"⊺⇮4487↰=⊺⇮4386","layer":3},{"info":"⊺⇮4386⩤=⊺⇮-4386","layer":2},{"info":"⊺⇮-80⋹⋡⊁⊺⇮-4386=⊺⇮1018","layer":1},{"info":"⊺⇮3933∕⩚⊺⇮1045=⊺⇮-3936","layer":3},{"info":"⊺⇮2344⨻⩈⩔⊺⇮4694=⊺⇮10351","layer":3},{"info":"⊺⇮-3936⨔⇊⊺⇮10351=⊺⇮10351","layer":2},{"info":"⊺⇮4310≎⪠⊺⇮3315=⊺⇮19558","layer":3},{"info":"⊖⊺⇮1072=⊺⇮0","layer":3},{"info":"⊺⇮19558↹⊜⊺⇮0=⊺⇮39020","layer":2},{"info":"⊺⇮10351⊍⩺⋍⊺⇮39020=NaN","layer":1},{"info":"⊺⇮1018∊∟⩊NaN=⊺⇮49","layer":0}]}
{"id":366,"expression_no_base_symbol":"((⊤⊝$1775$)↯⫤)∇⊂⋱(⊢≑≆$3672$)⫣⪄⊒(⇜$4997$)∙⊟(↩⪖(↨⩢⫨($2243$⊔$3615$)))","expression":"((⊤⊝⊺⇮1775)↯⫤)∇⊂⋱(⊢≑≆⊺⇮3672)⫣⪄⊒(⇜⊺⇮4997)∙⊟(↩⪖(↨⩢⫨(⊺⇮2243⊔⊺⇮3615)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":886,"operation_count":10,"complexity_ratio":88.6,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1775,"base":10}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":3672,"base":10}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4997,"base":10}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2243,"base":10},"right_expr":{"type":"numeric_atoms","value":3615,"base":10}}}}},"used_operators":["SxTAKzQCrw","nhYeJWJD5X","VwlE7vj6HS","rXAclfmB4M","RabNbG55vr","27wFxooxGf","lFBm8KRb8F","fG6uBQFnGz","Z5CJsN7DuW","E4l6HwMY31"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⊺⇮20296","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1775","layer":4},{"info":"compute unary expreesion, input=1775, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2252","layer":3},{"info":"compute unary expreesion, input=2252, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":2},{"info":"number node, value=3672","layer":4},{"info":"compute unary expreesion, input=3672, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=15140","layer":3},{"info":"number node, value=4997","layer":4},{"info":"compute unary expreesion, input=4997, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-40384","layer":3},{"info":"compute binary expreesion, left_input=15140, right_input=-40384, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-320","layer":1},{"info":"number node, value=2243","layer":4},{"info":"number node, value=3615","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=3615, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=20161","layer":3},{"info":"compute unary expreesion, input=20161, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-2982","layer":1},{"info":"compute binary expreesion, left_input=-320, right_input=-2982, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=20296","layer":0}],"base":10,"result_base":10,"text":"((⊤⊝⊺⇮1775)↯⫤)∇⊂⋱(⊢≑≆⊺⇮3672)⫣⪄⊒(⇜⊺⇮4997)∙⊟(↩⪖(↨⩢⫨(⊺⇮2243⊔⊺⇮3615)))=⊺⇮20296","reverse_text":"⊺⇮20296=((⊤⊝⊺⇮1775)↯⫤)∇⊂⋱(⊢≑≆⊺⇮3672)⫣⪄⊒(⇜⊺⇮4997)∙⊟(↩⪖(↨⩢⫨(⊺⇮2243⊔⊺⇮3615)))","cot":[{"info":"⊤⊝⊺⇮1775=⊺⇮2252","layer":3},{"info":"⊺⇮2252↯⫤=⊺⇮0","layer":2},{"info":"⊢≑≆⊺⇮3672=⊺⇮15140","layer":3},{"info":"⇜⊺⇮4997=⊺⇮-40384","layer":3},{"info":"⊺⇮15140⫣⪄⊒⊺⇮-40384=⊺⇮160","layer":2},{"info":"⊺⇮0∇⊂⋱⊺⇮160=⊺⇮-320","layer":1},{"info":"⊺⇮2243⊔⊺⇮3615=⊺⇮20161","layer":3},{"info":"↨⩢⫨⊺⇮20161=⊺⇮0","layer":2},{"info":"↩⪖⊺⇮0=⊺⇮-2982","layer":1},{"info":"⊺⇮-320∙⊟⊺⇮-2982=⊺⇮20296","layer":0}]}
{"id":367,"expression_no_base_symbol":"(($2739$↤⩊$8967$↑)∈)∽($3473$⊉↱≁$2055$⫘$1124$⇂≾⫗$2843$)⨥⫆(⇋⊎⋝$7552$)∴($2596$⨳⩥⨓$1614$)","expression":"((⊺⇮2739↤⩊⊺⇮8967↑)∈)∽(⊺⇮3473⊉↱≁⊺⇮2055⫘⊺⇮1124⇂≾⫗⊺⇮2843)⨥⫆(⇋⊎⋝⊺⇮7552)∴(⊺⇮2596⨳⩥⨓⊺⇮1614)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30427,"operation_count":11,"complexity_ratio":2766.090909090909,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2739,"base":10},"right_expr":{"type":"numeric_atoms","value":8967,"base":10}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3473,"base":10},"right_expr":{"type":"numeric_atoms","value":2055,"base":10}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1124,"base":10},"right_expr":{"type":"numeric_atoms","value":2843,"base":10}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":7552,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2596,"base":10},"right_expr":{"type":"numeric_atoms","value":1614,"base":10}}}}},"used_operators":["y4ImoPnbV5","ztP7wcbY7m","BThhyOhh10","13rbtpv6ld","yXekIHxTD4","48vC8HMD2b","w2P8NbNXyL","aBQ6xLxuTc","hrf7POJlIJ","CzM2PEoXns","nCS4ZIUYfx"],"dependent_operators":["NTOWxs364D","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2739","layer":4},{"info":"number node, value=8967","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=8967, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=nan","layer":1},{"info":"number node, value=3473","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=3473, right_input=2055, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=22348","layer":3},{"info":"number node, value=1124","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=2843, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=22348, right_input=-676, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=26285653","layer":2},{"info":"number node, value=7552","layer":4},{"info":"compute unary expreesion, input=7552, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2596","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=1614, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-982","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-982, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=26285653, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2739↤⩊⊺⇮8967↑)∈)∽(⊺⇮3473⊉↱≁⊺⇮2055⫘⊺⇮1124⇂≾⫗⊺⇮2843)⨥⫆(⇋⊎⋝⊺⇮7552)∴(⊺⇮2596⨳⩥⨓⊺⇮1614)=NaN","reverse_text":"NaN=((⊺⇮2739↤⩊⊺⇮8967↑)∈)∽(⊺⇮3473⊉↱≁⊺⇮2055⫘⊺⇮1124⇂≾⫗⊺⇮2843)⨥⫆(⇋⊎⋝⊺⇮7552)∴(⊺⇮2596⨳⩥⨓⊺⇮1614)","cot":[{"info":"⊺⇮2739↤⩊⊺⇮8967=NaN","layer":3},{"info":"NaN↑=NaN","layer":2},{"info":"NaN∈=NaN","layer":1},{"info":"⊺⇮3473⊉↱≁⊺⇮2055=⊺⇮22348","layer":3},{"info":"⊺⇮1124⇂≾⫗⊺⇮2843=⊺⇮-676","layer":3},{"info":"⊺⇮22348⫘⊺⇮-676=⊺⇮26285653","layer":2},{"info":"⇋⊎⋝⊺⇮7552=NaN","layer":3},{"info":"⊺⇮2596⨳⩥⨓⊺⇮1614=⊺⇮-982","layer":3},{"info":"NaN∴⊺⇮-982=NaN","layer":2},{"info":"⊺⇮26285653⨥⫆NaN=NaN","layer":1},{"info":"NaN∽NaN=NaN","layer":0}]}
{"id":368,"expression_no_base_symbol":"(⊄⩳↩(⇁⨣⪵($1563$↑)))↸$1030$⇡⇂$5034$+⇶⊼(⩰$3078$)⋅⇍($2970$→⨶⪴$1614$)+⪬∐$1250$⨐$3430$","expression":"(⊄⩳↩(⇁⨣⪵(⊺⇮1563↑)))↸⊺⇮1030⇡⇂⊺⇮5034+⇶⊼(⩰⊺⇮3078)⋅⇍(⊺⇮2970→⨶⪴⊺⇮1614)+⪬∐⊺⇮1250⨐⊺⇮3430","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26144,"operation_count":11,"complexity_ratio":2376.7272727272725,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1563,"base":10}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1030,"base":10},"right_expr":{"type":"numeric_atoms","value":5034,"base":10}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":3078,"base":10}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2970,"base":10},"right_expr":{"type":"numeric_atoms","value":1614,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1250,"base":10},"right_expr":{"type":"numeric_atoms","value":3430,"base":10}}}}},"used_operators":["1eCjFl0mb9","8w2t5hMYqp","inkyxCbjAn","BThhyOhh10","AdZkA7nFnk","TpPTUOHfaN","UMwdvZNt44","WkeUrDK8WX","2GS7woTJqF","bF6eod5Gvf","Noe24qw2ks"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AHs5Up7iyr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","8w2t5hMYqp","9FxExcQeMw","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1563","layer":4},{"info":"compute unary expreesion, input=1563, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute unary expreesion, input=222, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1030","layer":4},{"info":"number node, value=5034","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=5034, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=3078","layer":4},{"info":"compute unary expreesion, input=3078, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-4078","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4078, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2970","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=1614, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4842","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=3430, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2500","layer":3},{"info":"compute binary expreesion, left_input=-4842, right_input=-2500, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=14526","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14526, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊄⩳↩(⇁⨣⪵(⊺⇮1563↑)))↸⊺⇮1030⇡⇂⊺⇮5034+⇶⊼(⩰⊺⇮3078)⋅⇍(⊺⇮2970→⨶⪴⊺⇮1614)+⪬∐⊺⇮1250⨐⊺⇮3430=NaN","reverse_text":"NaN=(⊄⩳↩(⇁⨣⪵(⊺⇮1563↑)))↸⊺⇮1030⇡⇂⊺⇮5034+⇶⊼(⩰⊺⇮3078)⋅⇍(⊺⇮2970→⨶⪴⊺⇮1614)+⪬∐⊺⇮1250⨐⊺⇮3430","cot":[{"info":"⊺⇮1563↑=⊺⇮222","layer":3},{"info":"⇁⨣⪵⊺⇮222=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⊺⇮1030⇡⇂⊺⇮5034=NaN","layer":3},{"info":"⩰⊺⇮3078=⊺⇮-4078","layer":3},{"info":"NaN+⇶⊼⊺⇮-4078=NaN","layer":2},{"info":"⊺⇮2970→⨶⪴⊺⇮1614=⊺⇮-4842","layer":3},{"info":"⊺⇮1250⨐⊺⇮3430=⊺⇮-2500","layer":3},{"info":"⊺⇮-4842+⪬∐⊺⇮-2500=⊺⇮14526","layer":2},{"info":"NaN⋅⇍⊺⇮14526=⊺⇮-22","layer":1},{"info":"NaN↸⊺⇮-22=NaN","layer":0}]}
{"id":369,"expression_no_base_symbol":"(≀↧⇸($1244$⪝$3519$≓∲$2315$⨥⫆$2884$))⫯⪬∳((∟⋨(⊄⩳↩$2586$))∠⫱($4644$⇌⫙⪟$4337$⫡⨏$7485$⫥∨⫟$8061$))","expression":"(≀↧⇸(⊺⇮1244⪝⊺⇮3519≓∲⊺⇮2315⨥⫆⊺⇮2884))⫯⪬∳((∟⋨(⊄⩳↩⊺⇮2586))∠⫱(⊺⇮4644⇌⫙⪟⊺⇮4337⫡⨏⊺⇮7485⫥∨⫟⊺⇮8061))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8434,"operation_count":11,"complexity_ratio":766.7272727272727,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1244,"base":10},"right_expr":{"type":"numeric_atoms","value":3519,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2315,"base":10},"right_expr":{"type":"numeric_atoms","value":2884,"base":10}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2586,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4644,"base":10},"right_expr":{"type":"numeric_atoms","value":4337,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7485,"base":10},"right_expr":{"type":"numeric_atoms","value":8061,"base":10}}}}},"used_operators":["d7ASUq0ydm","ljTHtUsqzn","s1XTVnmDOJ","wicAB68Tmb","yXekIHxTD4","QvoQhV0rrE","ctOc4cKSDt","8w2t5hMYqp","QMFrweE19q","AFVx7xoS7T","KYD54nUTWz"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","XPYlsWDdGa","23Mk6UjR3U","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⊺⇮18985","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=3519","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=3519, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=2315","layer":4},{"info":"number node, value=2884","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=2884, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5644","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=5644, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=3153","layer":2},{"info":"compute unary expreesion, input=3153, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=6306","layer":1},{"info":"number node, value=2586","layer":4},{"info":"compute unary expreesion, input=2586, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7758","layer":3},{"info":"compute unary expreesion, input=-7758, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=8242","layer":2},{"info":"number node, value=4644","layer":4},{"info":"number node, value=4337","layer":4},{"info":"compute binary expreesion, left_input=4644, right_input=4337, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=7485","layer":4},{"info":"number node, value=8061","layer":4},{"info":"compute binary expreesion, left_input=7485, right_input=8061, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8242, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6306, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=18985","layer":0}],"base":10,"result_base":10,"text":"(≀↧⇸(⊺⇮1244⪝⊺⇮3519≓∲⊺⇮2315⨥⫆⊺⇮2884))⫯⪬∳((∟⋨(⊄⩳↩⊺⇮2586))∠⫱(⊺⇮4644⇌⫙⪟⊺⇮4337⫡⨏⊺⇮7485⫥∨⫟⊺⇮8061))=⊺⇮18985","reverse_text":"⊺⇮18985=(≀↧⇸(⊺⇮1244⪝⊺⇮3519≓∲⊺⇮2315⨥⫆⊺⇮2884))⫯⪬∳((∟⋨(⊄⩳↩⊺⇮2586))∠⫱(⊺⇮4644⇌⫙⪟⊺⇮4337⫡⨏⊺⇮7485⫥∨⫟⊺⇮8061))","cot":[{"info":"⊺⇮1244⪝⊺⇮3519=⊺⇮237","layer":3},{"info":"⊺⇮2315⨥⫆⊺⇮2884=⊺⇮5644","layer":3},{"info":"⊺⇮237≓∲⊺⇮5644=⊺⇮3153","layer":2},{"info":"≀↧⇸⊺⇮3153=⊺⇮6306","layer":1},{"info":"⊄⩳↩⊺⇮2586=⊺⇮-7758","layer":3},{"info":"∟⋨⊺⇮-7758=⊺⇮8242","layer":2},{"info":"⊺⇮4644⇌⫙⪟⊺⇮4337=⊺⇮113","layer":3},{"info":"⊺⇮7485⫥∨⫟⊺⇮8061=NaN","layer":3},{"info":"⊺⇮113⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮8242∠⫱NaN=NaN","layer":1},{"info":"⊺⇮6306⫯⪬∳NaN=⊺⇮18985","layer":0}]}
{"id":370,"expression_no_base_symbol":"(⩦⊞(($3241$≥⨤⩑$2469$)⩚⊴⇥($4524$∀⋜↑)))⩌⋺(($1012$⪡$3772$)⋛($5544$↸$1404$))⋕⪉⪜((↨⩢⫨$8615$)⇼⇔∾($5722$⊭↱$4529$))","expression":"(⩦⊞((⊺⇮3241≥⨤⩑⊺⇮2469)⩚⊴⇥(⊺⇮4524∀⋜↑)))⩌⋺((⊺⇮1012⪡⊺⇮3772)⋛(⊺⇮5544↸⊺⇮1404))⋕⪉⪜((↨⩢⫨⊺⇮8615)⇼⇔∾(⊺⇮5722⊭↱⊺⇮4529))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1821,"operation_count":12,"complexity_ratio":151.75,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3241,"base":10},"right_expr":{"type":"numeric_atoms","value":2469,"base":10}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":4524,"base":10}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":3772,"base":10}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5544,"base":10},"right_expr":{"type":"numeric_atoms","value":1404,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":8615,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5722,"base":10},"right_expr":{"type":"numeric_atoms","value":4529,"base":10}}}}},"used_operators":["g7Hmc5v1ko","u7fv1HBiaC","NTOWxs364D","gJLn6v0xnP","KipPnG1M2J","z6LnFrNh4i","YbUVn0Rbpy","oraRL2iQuh","1eCjFl0mb9","tifHPKVTfV","Z5CJsN7DuW","COABgblf1C"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮1473","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3241","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=2469, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=4524","layer":4},{"info":"compute unary expreesion, input=4524, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-484, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-871","layer":2},{"info":"compute unary expreesion, input=-871, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1798","layer":1},{"info":"number node, value=1012","layer":4},{"info":"number node, value=3772","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3772, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=5544","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=5544, right_input=1404, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5544","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=5544, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-123543","layer":2},{"info":"number node, value=8615","layer":4},{"info":"compute unary expreesion, input=8615, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=5722","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=5722, right_input=4529, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2381","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2381, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2381","layer":2},{"info":"compute binary expreesion, left_input=-123543, right_input=-2381, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=-1798, right_input=204, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=1473","layer":0}],"base":10,"result_base":10,"text":"(⩦⊞((⊺⇮3241≥⨤⩑⊺⇮2469)⩚⊴⇥(⊺⇮4524∀⋜↑)))⩌⋺((⊺⇮1012⪡⊺⇮3772)⋛(⊺⇮5544↸⊺⇮1404))⋕⪉⪜((↨⩢⫨⊺⇮8615)⇼⇔∾(⊺⇮5722⊭↱⊺⇮4529))=⊺⇮1473","reverse_text":"⊺⇮1473=(⩦⊞((⊺⇮3241≥⨤⩑⊺⇮2469)⩚⊴⇥(⊺⇮4524∀⋜↑)))⩌⋺((⊺⇮1012⪡⊺⇮3772)⋛(⊺⇮5544↸⊺⇮1404))⋕⪉⪜((↨⩢⫨⊺⇮8615)⇼⇔∾(⊺⇮5722⊭↱⊺⇮4529))","cot":[{"info":"⊺⇮3241≥⨤⩑⊺⇮2469=⊺⇮1234","layer":3},{"info":"⊺⇮4524∀⋜↑=⊺⇮-484","layer":3},{"info":"⊺⇮1234⩚⊴⇥⊺⇮-484=⊺⇮-871","layer":2},{"info":"⩦⊞⊺⇮-871=⊺⇮-1798","layer":1},{"info":"⊺⇮1012⪡⊺⇮3772=⊺⇮107","layer":3},{"info":"⊺⇮5544↸⊺⇮1404=⊺⇮5544","layer":3},{"info":"⊺⇮107⋛⊺⇮5544=⊺⇮-123543","layer":2},{"info":"↨⩢⫨⊺⇮8615=⊺⇮0","layer":3},{"info":"⊺⇮5722⊭↱⊺⇮4529=⊺⇮-2381","layer":3},{"info":"⊺⇮0⇼⇔∾⊺⇮-2381=⊺⇮-2381","layer":2},{"info":"⊺⇮-123543⋕⪉⪜⊺⇮-2381=⊺⇮204","layer":1},{"info":"⊺⇮-1798⩌⋺⊺⇮204=⊺⇮1473","layer":0}]}
{"id":371,"expression_no_base_symbol":"⩦⊞((≸≮($2614$⊢$5582$))⪍↜⋙($1788$≒∊$1184$≬⋮(⊈$4743$)))","expression":"⩦⊞((≸≮(⊺⇮2614⊢⊺⇮5582))⪍↜⋙(⊺⇮1788≒∊⊺⇮1184≬⋮(⊈⊺⇮4743)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":88,"operation_count":7,"complexity_ratio":12.571428571428571,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2614,"base":10},"right_expr":{"type":"numeric_atoms","value":5582,"base":10}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1788,"base":10},"right_expr":{"type":"numeric_atoms","value":1184,"base":10}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":4743,"base":10}}}}},"used_operators":["u7fv1HBiaC","L05ObWFQCd","AljMvE3RRm","5twsqlHp2o","kbkesczE7y","5KTvxBwnZo","RHru8klgy8"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","12rbrZMWeM","xUOZtlo3hN"],"result":"⊺⇮-163717","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2614","layer":4},{"info":"number node, value=5582","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=5582, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5472","layer":3},{"info":"compute unary expreesion, input=-5472, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=82863","layer":2},{"info":"number node, value=1788","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1184, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1304","layer":3},{"info":"number node, value=4743","layer":4},{"info":"compute unary expreesion, input=4743, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-4917","layer":3},{"info":"compute binary expreesion, left_input=-1304, right_input=-4917, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=82863, right_input=868, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=163990","layer":1},{"info":"compute unary expreesion, input=163990, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-163717","layer":0}],"base":10,"result_base":10,"text":"⩦⊞((≸≮(⊺⇮2614⊢⊺⇮5582))⪍↜⋙(⊺⇮1788≒∊⊺⇮1184≬⋮(⊈⊺⇮4743)))=⊺⇮-163717","reverse_text":"⊺⇮-163717=⩦⊞((≸≮(⊺⇮2614⊢⊺⇮5582))⪍↜⋙(⊺⇮1788≒∊⊺⇮1184≬⋮(⊈⊺⇮4743)))","cot":[{"info":"⊺⇮2614⊢⊺⇮5582=⊺⇮-5472","layer":3},{"info":"≸≮⊺⇮-5472=⊺⇮82863","layer":2},{"info":"⊺⇮1788≒∊⊺⇮1184=⊺⇮-1304","layer":3},{"info":"⊈⊺⇮4743=⊺⇮-4917","layer":3},{"info":"⊺⇮-1304≬⋮⊺⇮-4917=⊺⇮868","layer":2},{"info":"⊺⇮82863⪍↜⋙⊺⇮868=⊺⇮163990","layer":1},{"info":"⩦⊞⊺⇮163990=⊺⇮-163717","layer":0}]}
{"id":372,"expression_no_base_symbol":"((⋠∜$5487$)≹⇙⪍($1741$⪉⨛$1954$)*(⊥$2307$)⫁(⨝⨆$1808$))⊔($3545$⨜⨶$2497$∥⊢⊲(↓⇌$1041$)⨑≵⋬(∡$1769$∋$4645$))","expression":"((⋠∜⊺⇮5487)≹⇙⪍(⊺⇮1741⪉⨛⊺⇮1954)*(⊥⊺⇮2307)⫁(⨝⨆⊺⇮1808))⊔(⊺⇮3545⨜⨶⊺⇮2497∥⊢⊲(↓⇌⊺⇮1041)⨑≵⋬(∡⊺⇮1769∋⊺⇮4645))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":329,"operation_count":14,"complexity_ratio":23.5,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":5487,"base":10}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1741,"base":10},"right_expr":{"type":"numeric_atoms","value":1954,"base":10}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2307,"base":10}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1808,"base":10}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3545,"base":10},"right_expr":{"type":"numeric_atoms","value":2497,"base":10}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1041,"base":10}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1769,"base":10},"right_expr":{"type":"numeric_atoms","value":4645,"base":10}}}}},"used_operators":["E4l6HwMY31","9HNa5Wba9A","AHs5Up7iyr","ZJpFhNJr3x","EWw2JM7wp4","0ajvFaJAv0","Q3PJZHRvZv","bQ67fsrMVf","XnXgA4xnOs","v1UQAVDJRr","HiPekx5b7W","PxpmPgHHJV","pRsWfj4Fpp","ukq6epAj5P"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","dWAJyo7jo9","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","cHh1gJQ2o6","AHs5Up7iyr","fu6greOZ01","tifHPKVTfV","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5487","layer":4},{"info":"compute unary expreesion, input=5487, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=24232","layer":3},{"info":"number node, value=1741","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=1954, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3484","layer":3},{"info":"compute binary expreesion, left_input=24232, right_input=3484, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2307","layer":4},{"info":"compute unary expreesion, input=2307, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1808","layer":4},{"info":"compute unary expreesion, input=1808, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1599","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1599, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3545","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=3545, right_input=2497, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-4738","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1041","layer":3},{"info":"compute binary expreesion, left_input=-4738, right_input=1041, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=1041","layer":2},{"info":"number node, value=1769","layer":4},{"info":"number node, value=4645","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=4645, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=9662756","layer":3},{"info":"compute unary expreesion, input=9662756, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-9662756","layer":2},{"info":"compute binary expreesion, left_input=1041, right_input=-9662756, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=86972420","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=86972420, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⋠∜⊺⇮5487)≹⇙⪍(⊺⇮1741⪉⨛⊺⇮1954)*(⊥⊺⇮2307)⫁(⨝⨆⊺⇮1808))⊔(⊺⇮3545⨜⨶⊺⇮2497∥⊢⊲(↓⇌⊺⇮1041)⨑≵⋬(∡⊺⇮1769∋⊺⇮4645))=NaN","reverse_text":"NaN=((⋠∜⊺⇮5487)≹⇙⪍(⊺⇮1741⪉⨛⊺⇮1954)*(⊥⊺⇮2307)⫁(⨝⨆⊺⇮1808))⊔(⊺⇮3545⨜⨶⊺⇮2497∥⊢⊲(↓⇌⊺⇮1041)⨑≵⋬(∡⊺⇮1769∋⊺⇮4645))","cot":[{"info":"⋠∜⊺⇮5487=⊺⇮24232","layer":3},{"info":"⊺⇮1741⪉⨛⊺⇮1954=⊺⇮3484","layer":3},{"info":"⊺⇮24232≹⇙⪍⊺⇮3484=NaN","layer":2},{"info":"⊥⊺⇮2307=NaN","layer":3},{"info":"⨝⨆⊺⇮1808=⊺⇮1599","layer":3},{"info":"NaN⫁⊺⇮1599=⊺⇮160","layer":2},{"info":"NaN*⊺⇮160=NaN","layer":1},{"info":"⊺⇮3545⨜⨶⊺⇮2497=⊺⇮-4738","layer":3},{"info":"↓⇌⊺⇮1041=⊺⇮1041","layer":3},{"info":"⊺⇮-4738∥⊢⊲⊺⇮1041=⊺⇮1041","layer":2},{"info":"⊺⇮1769∋⊺⇮4645=⊺⇮9662756","layer":3},{"info":"∡⊺⇮9662756=⊺⇮-9662756","layer":2},{"info":"⊺⇮1041⨑≵⋬⊺⇮-9662756=⊺⇮86972420","layer":1},{"info":"NaN⊔⊺⇮86972420=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"∤(⊄⩳↩(↸⊣(⨞⊢$1314$)))","expression":"∤(⊄⩳↩(↸⊣(⨞⊢⊺⇮1314)))","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":23,"operation_count":4,"complexity_ratio":5.75,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1314,"base":10}}}}},"used_operators":["k2HlF1dBQh","8w2t5hMYqp","wztAlM01eG","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮9","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1314","layer":4},{"info":"compute unary expreesion, input=1314, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1488","layer":3},{"info":"compute unary expreesion, input=-1488, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=2976","layer":2},{"info":"compute unary expreesion, input=2976, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8928","layer":1},{"info":"compute unary expreesion, input=-8928, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":10,"result_base":10,"text":"∤(⊄⩳↩(↸⊣(⨞⊢⊺⇮1314)))=⊺⇮9","reverse_text":"⊺⇮9=∤(⊄⩳↩(↸⊣(⨞⊢⊺⇮1314)))","cot":[{"info":"⨞⊢⊺⇮1314=⊺⇮-1488","layer":3},{"info":"↸⊣⊺⇮-1488=⊺⇮2976","layer":2},{"info":"⊄⩳↩⊺⇮2976=⊺⇮-8928","layer":1},{"info":"∤⊺⇮-8928=⊺⇮9","layer":0}]}
{"id":374,"expression_no_base_symbol":"(≘(⇠$1263$))⩣⫁∢($1927$→⨶⪴$1691$⨐⩸⫘($3714$⇉⇱⇎))≀⫉(($1067$≀⩗∶$2490$)⩖⊿($1988$≚⊃≕$8004$)⪇≇⋚($6781$≭$8672$⪛⫼(↘$5622$)))","expression":"(≘(⇠⊺⇮1263))⩣⫁∢(⊺⇮1927→⨶⪴⊺⇮1691⨐⩸⫘(⊺⇮3714⇉⇱⇎))≀⫉((⊺⇮1067≀⩗∶⊺⇮2490)⩖⊿(⊺⇮1988≚⊃≕⊺⇮8004)⪇≇⋚(⊺⇮6781≭⊺⇮8672⪛⫼(↘⊺⇮5622)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":558,"operation_count":14,"complexity_ratio":39.857142857142854,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1263,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1927,"base":10},"right_expr":{"type":"numeric_atoms","value":1691,"base":10}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":3714,"base":10}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1067,"base":10},"right_expr":{"type":"numeric_atoms","value":2490,"base":10}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1988,"base":10},"right_expr":{"type":"numeric_atoms","value":8004,"base":10}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6781,"base":10},"right_expr":{"type":"numeric_atoms","value":8672,"base":10}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":5622,"base":10}}}}},"used_operators":["oZj3VtZNQx","JDUIKTTSIa","tcjXMdvYtA","18saOjeKKm","fu6greOZ01","bF6eod5Gvf","MRPaB8lBjK","3sJ7IOPOlU","RZ5CV9rWsJ","8INZBEW696","Bmrmz2XGnR","hyuBjUqXlG","rxpJgHHUmx","LdNpr8hQHL"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","3ViojmjbAp","8w2t5hMYqp","9FxExcQeMw","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","AHs5Up7iyr","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1021","layer":3},{"info":"compute unary expreesion, input=-1021, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=600086","layer":2},{"info":"number node, value=1927","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=1691, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5073","layer":3},{"info":"number node, value=3714","layer":4},{"info":"compute unary expreesion, input=3714, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-3496","layer":3},{"info":"compute binary expreesion, left_input=-5073, right_input=-3496, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=600086, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"number node, value=1067","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=2490, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"number node, value=1988","layer":4},{"info":"number node, value=8004","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=8004, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-23532","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-23532, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=48978","layer":2},{"info":"number node, value=6781","layer":4},{"info":"number node, value=8672","layer":4},{"info":"compute binary expreesion, left_input=6781, right_input=8672, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5622","layer":4},{"info":"compute unary expreesion, input=5622, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=134, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=48978, right_input=968, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≘(⇠⊺⇮1263))⩣⫁∢(⊺⇮1927→⨶⪴⊺⇮1691⨐⩸⫘(⊺⇮3714⇉⇱⇎))≀⫉((⊺⇮1067≀⩗∶⊺⇮2490)⩖⊿(⊺⇮1988≚⊃≕⊺⇮8004)⪇≇⋚(⊺⇮6781≭⊺⇮8672⪛⫼(↘⊺⇮5622)))=NaN","reverse_text":"NaN=(≘(⇠⊺⇮1263))⩣⫁∢(⊺⇮1927→⨶⪴⊺⇮1691⨐⩸⫘(⊺⇮3714⇉⇱⇎))≀⫉((⊺⇮1067≀⩗∶⊺⇮2490)⩖⊿(⊺⇮1988≚⊃≕⊺⇮8004)⪇≇⋚(⊺⇮6781≭⊺⇮8672⪛⫼(↘⊺⇮5622)))","cot":[{"info":"⇠⊺⇮1263=⊺⇮-1021","layer":3},{"info":"≘⊺⇮-1021=⊺⇮600086","layer":2},{"info":"⊺⇮1927→⨶⪴⊺⇮1691=⊺⇮-5073","layer":3},{"info":"⊺⇮3714⇉⇱⇎=⊺⇮-3496","layer":3},{"info":"⊺⇮-5073⨐⩸⫘⊺⇮-3496=NaN","layer":2},{"info":"⊺⇮600086⩣⫁∢NaN=NaN","layer":1},{"info":"⊺⇮1067≀⩗∶⊺⇮2490=⊺⇮-6","layer":3},{"info":"⊺⇮1988≚⊃≕⊺⇮8004=⊺⇮-23532","layer":3},{"info":"⊺⇮-6⩖⊿⊺⇮-23532=⊺⇮48978","layer":2},{"info":"⊺⇮6781≭⊺⇮8672=NaN","layer":3},{"info":"↘⊺⇮5622=⊺⇮134","layer":3},{"info":"NaN⪛⫼⊺⇮134=⊺⇮968","layer":2},{"info":"⊺⇮48978⪇≇⋚⊺⇮968=⊺⇮0","layer":1},{"info":"NaN≀⫉⊺⇮0=NaN","layer":0}]}
{"id":375,"expression_no_base_symbol":"(($1069$⨳⩥⨓$3766$)⋛(⨩∲⋌$6450$))↓(($1164$≃$2711$)⨼⩣($2713$∑⇟⊟$1297$))⫏⊷","expression":"((⊺⇮1069⨳⩥⨓⊺⇮3766)⋛(⨩∲⋌⊺⇮6450))↓((⊺⇮1164≃⊺⇮2711)⨼⩣(⊺⇮2713∑⇟⊟⊺⇮1297))⫏⊷","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1312,"operation_count":8,"complexity_ratio":164.0,"tree":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1069,"base":10},"right_expr":{"type":"numeric_atoms","value":3766,"base":10}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":6450,"base":10}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1164,"base":10},"right_expr":{"type":"numeric_atoms","value":2711,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2713,"base":10},"right_expr":{"type":"numeric_atoms","value":1297,"base":10}}}}},"used_operators":["dcShxvzhyw","Af076pWI7l","YbUVn0Rbpy","nCS4ZIUYfx","aSik1wnThz","JxwMv5le6e","YbVcJGFEVW","U7g4x0WXJJ"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⊺⇮7264","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1069","layer":4},{"info":"number node, value=3766","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=3766, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2697","layer":3},{"info":"number node, value=6450","layer":4},{"info":"compute unary expreesion, input=6450, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-6973","layer":3},{"info":"compute binary expreesion, left_input=2697, right_input=-6973, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-20274","layer":2},{"info":"number node, value=1164","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2711, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4696","layer":3},{"info":"number node, value=2713","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=1297, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4696, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-20274, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=7264","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1069⨳⩥⨓⊺⇮3766)⋛(⨩∲⋌⊺⇮6450))↓((⊺⇮1164≃⊺⇮2711)⨼⩣(⊺⇮2713∑⇟⊟⊺⇮1297))⫏⊷=⊺⇮7264","reverse_text":"⊺⇮7264=((⊺⇮1069⨳⩥⨓⊺⇮3766)⋛(⨩∲⋌⊺⇮6450))↓((⊺⇮1164≃⊺⇮2711)⨼⩣(⊺⇮2713∑⇟⊟⊺⇮1297))⫏⊷","cot":[{"info":"⊺⇮1069⨳⩥⨓⊺⇮3766=⊺⇮2697","layer":3},{"info":"⨩∲⋌⊺⇮6450=⊺⇮-6973","layer":3},{"info":"⊺⇮2697⋛⊺⇮-6973=⊺⇮-20274","layer":2},{"info":"⊺⇮1164≃⊺⇮2711=⊺⇮-4696","layer":3},{"info":"⊺⇮2713∑⇟⊟⊺⇮1297=NaN","layer":3},{"info":"⊺⇮-4696⨼⩣NaN=NaN","layer":2},{"info":"⊺⇮-20274↓NaN=⊺⇮-134","layer":1},{"info":"⊺⇮-134⫏⊷=⊺⇮7264","layer":0}]}
{"id":376,"expression_no_base_symbol":"((⊙↵-$1128$≌$5514$)⊋≦⊧$3085$⪝$6466$↞⋁(⊲⪭$7156$))⪚(∨∊⋏((⪡⇡≛$1479$)⊉↱≁($1499$⨓$3835$)))","expression":"((⊙↵-⊺⇮1128≌⊺⇮5514)⊋≦⊧⊺⇮3085⪝⊺⇮6466↞⋁(⊲⪭⊺⇮7156))⪚(∨∊⋏((⪡⇡≛⊺⇮1479)⊉↱≁(⊺⇮1499⨓⊺⇮3835)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10096,"operation_count":11,"complexity_ratio":917.8181818181819,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1128,"base":10},"right_expr":{"type":"numeric_atoms","value":5514,"base":10}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3085,"base":10},"right_expr":{"type":"numeric_atoms","value":6466,"base":10}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":7156,"base":10}}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1479,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1499,"base":10},"right_expr":{"type":"numeric_atoms","value":3835,"base":10}}}}},"used_operators":["HrjLwUk87U","oRDoc9rAEX","oWn0xqSxBt","lyWz822IDG","RqrPlJkxDo","wicAB68Tmb","k7HXdKtiEU","R5aXW34M0v","w2P8NbNXyL","qL4PrbW1Dq","3ViojmjbAp"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","i8ToyICDmI","xUOZtlo3hN","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1128","layer":4},{"info":"number node, value=5514","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=5514, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=3085","layer":4},{"info":"number node, value=6466","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=6466, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=7156","layer":4},{"info":"compute unary expreesion, input=7156, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-7330","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=-7330, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=237","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=237, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=1479","layer":4},{"info":"compute unary expreesion, input=1479, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1479","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=3835","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=3835, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3838","layer":3},{"info":"compute binary expreesion, left_input=-1479, right_input=-3838, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=8186","layer":2},{"info":"compute unary expreesion, input=8186, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=183263","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=183263, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊙↵-⊺⇮1128≌⊺⇮5514)⊋≦⊧⊺⇮3085⪝⊺⇮6466↞⋁(⊲⪭⊺⇮7156))⪚(∨∊⋏((⪡⇡≛⊺⇮1479)⊉↱≁(⊺⇮1499⨓⊺⇮3835)))=NaN","reverse_text":"NaN=((⊙↵-⊺⇮1128≌⊺⇮5514)⊋≦⊧⊺⇮3085⪝⊺⇮6466↞⋁(⊲⪭⊺⇮7156))⪚(∨∊⋏((⪡⇡≛⊺⇮1479)⊉↱≁(⊺⇮1499⨓⊺⇮3835)))","cot":[{"info":"⊺⇮1128≌⊺⇮5514=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⊺⇮3085⪝⊺⇮6466=⊺⇮237","layer":3},{"info":"⊲⪭⊺⇮7156=⊺⇮-7330","layer":3},{"info":"⊺⇮237↞⋁⊺⇮-7330=⊺⇮237","layer":2},{"info":"NaN⊋≦⊧⊺⇮237=NaN","layer":1},{"info":"⪡⇡≛⊺⇮1479=⊺⇮-1479","layer":3},{"info":"⊺⇮1499⨓⊺⇮3835=⊺⇮-3838","layer":3},{"info":"⊺⇮-1479⊉↱≁⊺⇮-3838=⊺⇮8186","layer":2},{"info":"∨∊⋏⊺⇮8186=⊺⇮183263","layer":1},{"info":"NaN⪚⊺⇮183263=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"(($4412$⪃⊛⇣$2088$⪒(⊙↵-$8518$))⨓($2180$⩹$1656$)⋥⋵⩄$2738$∓⋝$6492$)⊢(((⫶⊄≣$2746$)⋳⪒$1983$⊋$1272$)⊴(⨈⪑($8690$∝$1790$)))","expression":"((⊺⇮4412⪃⊛⇣⊺⇮2088⪒(⊙↵-⊺⇮8518))⨓(⊺⇮2180⩹⊺⇮1656)⋥⋵⩄⊺⇮2738∓⋝⊺⇮6492)⊢(((⫶⊄≣⊺⇮2746)⋳⪒⊺⇮1983⊋⊺⇮1272)⊴(⨈⪑(⊺⇮8690∝⊺⇮1790)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16260757,"operation_count":14,"complexity_ratio":1161482.642857143,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4412,"base":10},"right_expr":{"type":"numeric_atoms","value":2088,"base":10}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":8518,"base":10}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2180,"base":10},"right_expr":{"type":"numeric_atoms","value":1656,"base":10}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2738,"base":10},"right_expr":{"type":"numeric_atoms","value":6492,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2746,"base":10}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1983,"base":10},"right_expr":{"type":"numeric_atoms","value":1272,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":8690,"base":10},"right_expr":{"type":"numeric_atoms","value":1790,"base":10}}}}},"used_operators":["5twsqlHp2o","3ViojmjbAp","f6k1SAg4EE","rrgAzCduG9","oWn0xqSxBt","7t3wd0Fuz7","2Wsdkap16l","PoHhknlbAi","Nsiff2A1zJ","12rbrZMWeM","wxb3vTeyAj","W4tP9CfskL","mp94q5OcYM","cTDWOvIxvz"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⊺⇮-12","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4412","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=4412, right_input=2088, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=8518","layer":4},{"info":"compute unary expreesion, input=8518, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1233","layer":2},{"info":"number node, value=2180","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=1656, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1654","layer":3},{"info":"number node, value=2738","layer":4},{"info":"number node, value=6492","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=6492, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=1654, right_input=67, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-1233, right_input=113, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-116","layer":1},{"info":"number node, value=2746","layer":4},{"info":"compute unary expreesion, input=2746, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=135775405","layer":3},{"info":"number node, value=1983","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=1272, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=7149000","layer":3},{"info":"compute binary expreesion, left_input=135775405, right_input=7149000, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=264401523","layer":2},{"info":"number node, value=8690","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=8690, right_input=1790, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=8695","layer":3},{"info":"compute unary expreesion, input=8695, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=264401523, right_input=868, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-12","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4412⪃⊛⇣⊺⇮2088⪒(⊙↵-⊺⇮8518))⨓(⊺⇮2180⩹⊺⇮1656)⋥⋵⩄⊺⇮2738∓⋝⊺⇮6492)⊢(((⫶⊄≣⊺⇮2746)⋳⪒⊺⇮1983⊋⊺⇮1272)⊴(⨈⪑(⊺⇮8690∝⊺⇮1790)))=⊺⇮-12","reverse_text":"⊺⇮-12=((⊺⇮4412⪃⊛⇣⊺⇮2088⪒(⊙↵-⊺⇮8518))⨓(⊺⇮2180⩹⊺⇮1656)⋥⋵⩄⊺⇮2738∓⋝⊺⇮6492)⊢(((⫶⊄≣⊺⇮2746)⋳⪒⊺⇮1983⊋⊺⇮1272)⊴(⨈⪑(⊺⇮8690∝⊺⇮1790)))","cot":[{"info":"⊺⇮4412⪃⊛⇣⊺⇮2088=⊺⇮1234","layer":3},{"info":"⊙↵-⊺⇮8518=⊺⇮-1","layer":3},{"info":"⊺⇮1234⪒⊺⇮-1=⊺⇮-1233","layer":2},{"info":"⊺⇮2180⩹⊺⇮1656=⊺⇮1654","layer":3},{"info":"⊺⇮2738∓⋝⊺⇮6492=⊺⇮67","layer":3},{"info":"⊺⇮1654⋥⋵⩄⊺⇮67=⊺⇮113","layer":2},{"info":"⊺⇮-1233⨓⊺⇮113=⊺⇮-116","layer":1},{"info":"⫶⊄≣⊺⇮2746=⊺⇮135775405","layer":3},{"info":"⊺⇮1983⊋⊺⇮1272=⊺⇮7149000","layer":3},{"info":"⊺⇮135775405⋳⪒⊺⇮7149000=⊺⇮264401523","layer":2},{"info":"⊺⇮8690∝⊺⇮1790=⊺⇮8695","layer":3},{"info":"⨈⪑⊺⇮8695=⊺⇮868","layer":2},{"info":"⊺⇮264401523⊴⊺⇮868=NaN","layer":1},{"info":"⊺⇮-116⊢NaN=⊺⇮-12","layer":0}]}
{"id":378,"expression_no_base_symbol":"(($1833$↱$1398$)⋓($1119$⪕$4595$))⨐(↩⪖($2002$≧⫂∧$2355$))⪕($1726$⨎$5387$⋅⇍(⪛⨧$2172$))⪬(($6109$⊓⋫)⪄(⊗$1662$))","expression":"((⊺⇮1833↱⊺⇮1398)⋓(⊺⇮1119⪕⊺⇮4595))⨐(↩⪖(⊺⇮2002≧⫂∧⊺⇮2355))⪕(⊺⇮1726⨎⊺⇮5387⋅⇍(⪛⨧⊺⇮2172))⪬((⊺⇮6109⊓⋫)⪄(⊗⊺⇮1662))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":824,"operation_count":14,"complexity_ratio":58.857142857142854,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1833,"base":10},"right_expr":{"type":"numeric_atoms","value":1398,"base":10}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1119,"base":10},"right_expr":{"type":"numeric_atoms","value":4595,"base":10}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2002,"base":10},"right_expr":{"type":"numeric_atoms","value":2355,"base":10}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1726,"base":10},"right_expr":{"type":"numeric_atoms","value":5387,"base":10}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2172,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":6109,"base":10}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1662,"base":10}}}}},"used_operators":["umQnsF7QlU","Noe24qw2ks","T2fj7uvVaJ","SR5kFfdi6N","fG6uBQFnGz","Ph9nP6C5qx","Ez1Nq5fNfI","AdZkA7nFnk","rJVOvQCfKK","6NJAcO2OWT","SUmda5xLS4","IqGBaFP0uj","RhiyfpczSx"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"⊺⇮-55","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1833","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=1398, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3672","layer":3},{"info":"number node, value=1119","layer":4},{"info":"number node, value=4595","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=4595, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=-3672, right_input=-55, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2002","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=2355, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1882","layer":3},{"info":"compute unary expreesion, input=1882, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-14274","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-14274, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=0","layer":1},{"info":"number node, value=1726","layer":4},{"info":"number node, value=5387","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=5387, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5387","layer":3},{"info":"number node, value=2172","layer":4},{"info":"compute unary expreesion, input=2172, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5745","layer":3},{"info":"compute binary expreesion, left_input=5387, right_input=5745, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=6109","layer":4},{"info":"compute unary expreesion, input=6109, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-6237","layer":3},{"info":"number node, value=1662","layer":4},{"info":"compute unary expreesion, input=1662, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3324","layer":3},{"info":"compute binary expreesion, left_input=-6237, right_input=-3324, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=3979, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1833↱⊺⇮1398)⋓(⊺⇮1119⪕⊺⇮4595))⨐(↩⪖(⊺⇮2002≧⫂∧⊺⇮2355))⪕(⊺⇮1726⨎⊺⇮5387⋅⇍(⪛⨧⊺⇮2172))⪬((⊺⇮6109⊓⋫)⪄(⊗⊺⇮1662))=⊺⇮-55","reverse_text":"⊺⇮-55=((⊺⇮1833↱⊺⇮1398)⋓(⊺⇮1119⪕⊺⇮4595))⨐(↩⪖(⊺⇮2002≧⫂∧⊺⇮2355))⪕(⊺⇮1726⨎⊺⇮5387⋅⇍(⪛⨧⊺⇮2172))⪬((⊺⇮6109⊓⋫)⪄(⊗⊺⇮1662))","cot":[{"info":"⊺⇮1833↱⊺⇮1398=⊺⇮-3672","layer":3},{"info":"⊺⇮1119⪕⊺⇮4595=⊺⇮-55","layer":3},{"info":"⊺⇮-3672⋓⊺⇮-55=⊺⇮0","layer":2},{"info":"⊺⇮2002≧⫂∧⊺⇮2355=⊺⇮1882","layer":3},{"info":"↩⪖⊺⇮1882=⊺⇮-14274","layer":2},{"info":"⊺⇮0⨐⊺⇮-14274=⊺⇮0","layer":1},{"info":"⊺⇮1726⨎⊺⇮5387=⊺⇮5387","layer":3},{"info":"⪛⨧⊺⇮2172=⊺⇮5745","layer":3},{"info":"⊺⇮5387⋅⇍⊺⇮5745=⊺⇮-22","layer":2},{"info":"⊺⇮6109⊓⋫=⊺⇮-6237","layer":3},{"info":"⊗⊺⇮1662=⊺⇮-3324","layer":3},{"info":"⊺⇮-6237⪄⊺⇮-3324=⊺⇮3979","layer":2},{"info":"⊺⇮-22⪬⊺⇮3979=⊺⇮1234","layer":1},{"info":"⊺⇮0⪕⊺⇮1234=⊺⇮-55","layer":0}]}
{"id":379,"expression_no_base_symbol":"(⩩$8325$)⫣⪄⊒($3144$⩣⫁∢$2953$)∌↝(($1725$∲⫓$2019$)⫳≱↱$6200$≄⊠$3528$)/((⊬↢$4611$)∛≔)∑⇟⊟(↘($2502$%$2846$))","expression":"(⩩⊺⇮8325)⫣⪄⊒(⊺⇮3144⩣⫁∢⊺⇮2953)∌↝((⊺⇮1725∲⫓⊺⇮2019)⫳≱↱⊺⇮6200≄⊠⊺⇮3528)/((⊬↢⊺⇮4611)∛≔)∑⇟⊟(↘(⊺⇮2502%⊺⇮2846))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":670744,"operation_count":13,"complexity_ratio":51595.692307692305,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":8325,"base":10}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3144,"base":10},"right_expr":{"type":"numeric_atoms","value":2953,"base":10}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1725,"base":10},"right_expr":{"type":"numeric_atoms","value":2019,"base":10}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6200,"base":10},"right_expr":{"type":"numeric_atoms","value":3528,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":4611,"base":10}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2502,"base":10},"right_expr":{"type":"numeric_atoms","value":2846,"base":10}}}}},"used_operators":["XhwjNDsVaA","9Isq31Ruls","RabNbG55vr","kMhfGuqI2H","JDUIKTTSIa","ZvLB05nZmT","i8ToyICDmI","vXNesLlMH1","U7g4x0WXJJ","mGnSCrte3L","WPoGxAaPR1","LdNpr8hQHL","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","uFcxV4UQCh","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8325","layer":4},{"info":"compute unary expreesion, input=8325, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=3144","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=2953, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6127","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6127, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=1725","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=2019, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6200","layer":4},{"info":"number node, value=3528","layer":4},{"info":"compute binary expreesion, left_input=6200, right_input=3528, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=61116","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=61116, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-204, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=612","layer":1},{"info":"number node, value=4611","layer":4},{"info":"compute unary expreesion, input=4611, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"number node, value=2502","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=2846, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2502","layer":3},{"info":"compute unary expreesion, input=2502, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=150","layer":2},{"info":"compute binary expreesion, left_input=-305287, right_input=150, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=612, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩩⊺⇮8325)⫣⪄⊒(⊺⇮3144⩣⫁∢⊺⇮2953)∌↝((⊺⇮1725∲⫓⊺⇮2019)⫳≱↱⊺⇮6200≄⊠⊺⇮3528)/((⊬↢⊺⇮4611)∛≔)∑⇟⊟(↘(⊺⇮2502%⊺⇮2846))=NaN","reverse_text":"NaN=(⩩⊺⇮8325)⫣⪄⊒(⊺⇮3144⩣⫁∢⊺⇮2953)∌↝((⊺⇮1725∲⫓⊺⇮2019)⫳≱↱⊺⇮6200≄⊠⊺⇮3528)/((⊬↢⊺⇮4611)∛≔)∑⇟⊟(↘(⊺⇮2502%⊺⇮2846))","cot":[{"info":"⩩⊺⇮8325=NaN","layer":3},{"info":"⊺⇮3144⩣⫁∢⊺⇮2953=⊺⇮-6127","layer":3},{"info":"NaN⫣⪄⊒⊺⇮-6127=⊺⇮160","layer":2},{"info":"⊺⇮1725∲⫓⊺⇮2019=⊺⇮0","layer":3},{"info":"⊺⇮6200≄⊠⊺⇮3528=⊺⇮61116","layer":3},{"info":"⊺⇮0⫳≱↱⊺⇮61116=⊺⇮-204","layer":2},{"info":"⊺⇮160∌↝⊺⇮-204=⊺⇮612","layer":1},{"info":"⊬↢⊺⇮4611=⊺⇮218","layer":3},{"info":"⊺⇮218∛≔=⊺⇮-305287","layer":2},{"info":"⊺⇮2502%⊺⇮2846=⊺⇮2502","layer":3},{"info":"↘⊺⇮2502=⊺⇮150","layer":2},{"info":"⊺⇮-305287∑⇟⊟⊺⇮150=NaN","layer":1},{"info":"⊺⇮612/NaN=NaN","layer":0}]}
{"id":380,"expression_no_base_symbol":"((⨵≀≌(⊈$5869$))⨔≚≋(($2201$*$1278$)⫥∨⫟(⨵≀≌$1516$)))⨥⫆(($4124$⩨$1596$)∼($2963$≳⇉$3851$)≬⇓(⇤←$4848$⨜⨶$7410$))","expression":"((⨵≀≌(⊈⊺⇮5869))⨔≚≋((⊺⇮2201*⊺⇮1278)⫥∨⫟(⨵≀≌⊺⇮1516)))⨥⫆((⊺⇮4124⩨⊺⇮1596)∼(⊺⇮2963≳⇉⊺⇮3851)≬⇓(⇤←⊺⇮4848⨜⨶⊺⇮7410))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":225173585,"operation_count":13,"complexity_ratio":17321045.0,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":5869,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2201,"base":10},"right_expr":{"type":"numeric_atoms","value":1278,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1516,"base":10}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4124,"base":10},"right_expr":{"type":"numeric_atoms","value":1596,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2963,"base":10},"right_expr":{"type":"numeric_atoms","value":3851,"base":10}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4848,"base":10},"right_expr":{"type":"numeric_atoms","value":7410,"base":10}}}}},"used_operators":["yXekIHxTD4","Z57zeUYC9z","srAu1WTS94","RHru8klgy8","KYD54nUTWz","9HNa5Wba9A","jWTQ2TZYIH","DyGG3AbaNP","2DlMacCsIx","V0kx6qeWkN","jfAgQ2OQeM","HiPekx5b7W"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","12rbrZMWeM","xUOZtlo3hN","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5869","layer":4},{"info":"compute unary expreesion, input=5869, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-6043","layer":3},{"info":"compute unary expreesion, input=-6043, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=36517849","layer":2},{"info":"number node, value=2201","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=1278, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2812878","layer":3},{"info":"number node, value=1516","layer":4},{"info":"compute unary expreesion, input=1516, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4548","layer":3},{"info":"compute binary expreesion, left_input=2812878, right_input=-4548, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=36517849, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=4124","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=4124, right_input=1596, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2963","layer":4},{"info":"number node, value=3851","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=3851, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=4848","layer":4},{"info":"number node, value=7410","layer":4},{"info":"compute binary expreesion, left_input=4848, right_input=7410, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-14564","layer":3},{"info":"compute unary expreesion, input=-14564, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=14998","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14998, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨵≀≌(⊈⊺⇮5869))⨔≚≋((⊺⇮2201*⊺⇮1278)⫥∨⫟(⨵≀≌⊺⇮1516)))⨥⫆((⊺⇮4124⩨⊺⇮1596)∼(⊺⇮2963≳⇉⊺⇮3851)≬⇓(⇤←⊺⇮4848⨜⨶⊺⇮7410))=NaN","reverse_text":"NaN=((⨵≀≌(⊈⊺⇮5869))⨔≚≋((⊺⇮2201*⊺⇮1278)⫥∨⫟(⨵≀≌⊺⇮1516)))⨥⫆((⊺⇮4124⩨⊺⇮1596)∼(⊺⇮2963≳⇉⊺⇮3851)≬⇓(⇤←⊺⇮4848⨜⨶⊺⇮7410))","cot":[{"info":"⊈⊺⇮5869=⊺⇮-6043","layer":3},{"info":"⨵≀≌⊺⇮-6043=⊺⇮36517849","layer":2},{"info":"⊺⇮2201*⊺⇮1278=⊺⇮2812878","layer":3},{"info":"⨵≀≌⊺⇮1516=⊺⇮-4548","layer":3},{"info":"⊺⇮2812878⫥∨⫟⊺⇮-4548=NaN","layer":2},{"info":"⊺⇮36517849⨔≚≋NaN=NaN","layer":1},{"info":"⊺⇮4124⩨⊺⇮1596=⊺⇮0","layer":3},{"info":"⊺⇮2963≳⇉⊺⇮3851=NaN","layer":3},{"info":"⊺⇮0∼NaN=NaN","layer":2},{"info":"⊺⇮4848⨜⨶⊺⇮7410=⊺⇮-14564","layer":3},{"info":"⇤←⊺⇮-14564=⊺⇮14998","layer":2},{"info":"NaN≬⇓⊺⇮14998=⊺⇮-22","layer":1},{"info":"NaN⨥⫆⊺⇮-22=NaN","layer":0}]}
{"id":381,"expression_no_base_symbol":"(($1041$≁$7032$⩒⫫(≤/$3589$))⇍⊗$1913$⋹⋡⊁$1370$⩼⇪↪($2995$⪘⫢$4269$))⫘($2226$∌$3096$⫲≸⪮(↪⫪⫘$1431$)⋓($7986$∋$1121$)⇤($1835$⋷$4448$))","expression":"((⊺⇮1041≁⊺⇮7032⩒⫫(≤/⊺⇮3589))⇍⊗⊺⇮1913⋹⋡⊁⊺⇮1370⩼⇪↪(⊺⇮2995⪘⫢⊺⇮4269))⫘(⊺⇮2226∌⊺⇮3096⫲≸⪮(↪⫪⫘⊺⇮1431)⋓(⊺⇮7986∋⊺⇮1121)⇤(⊺⇮1835⋷⊺⇮4448))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":66906,"operation_count":15,"complexity_ratio":4460.4,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1041,"base":10},"right_expr":{"type":"numeric_atoms","value":7032,"base":10}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3589,"base":10}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1913,"base":10},"right_expr":{"type":"numeric_atoms","value":1370,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2995,"base":10},"right_expr":{"type":"numeric_atoms","value":4269,"base":10}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2226,"base":10},"right_expr":{"type":"numeric_atoms","value":3096,"base":10}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1431,"base":10}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":7986,"base":10},"right_expr":{"type":"numeric_atoms","value":1121,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1835,"base":10},"right_expr":{"type":"numeric_atoms","value":4448,"base":10}}}}},"used_operators":["48vC8HMD2b","5uvYHDjeKN","KFSx94NKJn","8N2wDY1A35","eLAdDNolq6","ocnLzx9CaJ","As8RqfVLgs","oacrs7FA3X","T2fj7uvVaJ","P3lXMJvFrc","8cLx32lpNA","9dWsAM3GFt","YSKBFp38Pu","ukq6epAj5P","23Mk6UjR3U"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮1065779","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"number node, value=7032","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=7032, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=155567","layer":3},{"info":"number node, value=3589","layer":4},{"info":"compute unary expreesion, input=3589, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3105","layer":3},{"info":"compute binary expreesion, left_input=155567, right_input=-3105, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=155265","layer":2},{"info":"number node, value=1913","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1370, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2120","layer":3},{"info":"number node, value=2995","layer":4},{"info":"number node, value=4269","layer":4},{"info":"compute binary expreesion, left_input=2995, right_input=4269, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5866","layer":3},{"info":"compute binary expreesion, left_input=2120, right_input=5866, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-37605","layer":2},{"info":"compute binary expreesion, left_input=155265, right_input=-37605, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=2226","layer":4},{"info":"number node, value=3096","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=3096, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3096","layer":3},{"info":"number node, value=1431","layer":4},{"info":"compute unary expreesion, input=1431, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-3096, right_input=20, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-3096","layer":2},{"info":"number node, value=7986","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=7986, right_input=1121, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2684312","layer":3},{"info":"number node, value=1835","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=4448, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7061","layer":3},{"info":"compute binary expreesion, left_input=2684312, right_input=7061, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-13454017","layer":2},{"info":"compute binary expreesion, left_input=-3096, right_input=-13454017, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1065779","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1041≁⊺⇮7032⩒⫫(≤/⊺⇮3589))⇍⊗⊺⇮1913⋹⋡⊁⊺⇮1370⩼⇪↪(⊺⇮2995⪘⫢⊺⇮4269))⫘(⊺⇮2226∌⊺⇮3096⫲≸⪮(↪⫪⫘⊺⇮1431)⋓(⊺⇮7986∋⊺⇮1121)⇤(⊺⇮1835⋷⊺⇮4448))=⊺⇮1065779","reverse_text":"⊺⇮1065779=((⊺⇮1041≁⊺⇮7032⩒⫫(≤/⊺⇮3589))⇍⊗⊺⇮1913⋹⋡⊁⊺⇮1370⩼⇪↪(⊺⇮2995⪘⫢⊺⇮4269))⫘(⊺⇮2226∌⊺⇮3096⫲≸⪮(↪⫪⫘⊺⇮1431)⋓(⊺⇮7986∋⊺⇮1121)⇤(⊺⇮1835⋷⊺⇮4448))","cot":[{"info":"⊺⇮1041≁⊺⇮7032=⊺⇮155567","layer":3},{"info":"≤/⊺⇮3589=⊺⇮-3105","layer":3},{"info":"⊺⇮155567⩒⫫⊺⇮-3105=⊺⇮155265","layer":2},{"info":"⊺⇮1913⋹⋡⊁⊺⇮1370=⊺⇮2120","layer":3},{"info":"⊺⇮2995⪘⫢⊺⇮4269=⊺⇮5866","layer":3},{"info":"⊺⇮2120⩼⇪↪⊺⇮5866=⊺⇮-37605","layer":2},{"info":"⊺⇮155265⇍⊗⊺⇮-37605=⊺⇮-244","layer":1},{"info":"⊺⇮2226∌⊺⇮3096=⊺⇮-3096","layer":3},{"info":"↪⫪⫘⊺⇮1431=⊺⇮20","layer":3},{"info":"⊺⇮-3096⫲≸⪮⊺⇮20=⊺⇮-3096","layer":2},{"info":"⊺⇮7986∋⊺⇮1121=⊺⇮2684312","layer":3},{"info":"⊺⇮1835⋷⊺⇮4448=⊺⇮7061","layer":3},{"info":"⊺⇮2684312⇤⊺⇮7061=⊺⇮-13454017","layer":2},{"info":"⊺⇮-3096⋓⊺⇮-13454017=⊺⇮0","layer":1},{"info":"⊺⇮-244⫘⊺⇮0=⊺⇮1065779","layer":0}]}
{"id":382,"expression_no_base_symbol":"(∂⩏⊆(↯⪼($6108$∠↢$1900$)))⩺⪪(↑($4726$∌$1839$)⊕∕($1977$∓⋝$2054$))","expression":"(∂⩏⊆(↯⪼(⊺⇮6108∠↢⊺⇮1900)))⩺⪪(↑(⊺⇮4726∌⊺⇮1839)⊕∕(⊺⇮1977∓⋝⊺⇮2054))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":240,"operation_count":8,"complexity_ratio":30.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":6108,"base":10},"right_expr":{"type":"numeric_atoms","value":1900,"base":10}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4726,"base":10},"right_expr":{"type":"numeric_atoms","value":1839,"base":10}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1977,"base":10},"right_expr":{"type":"numeric_atoms","value":2054,"base":10}}}}},"used_operators":["uvdQJvN4PV","8WDwsbhb0R","8jW3W4yZS5","KbjG8mgYpV","tR7O2zTn5j","9cloC0Ngie","8cLx32lpNA","PoHhknlbAi"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","14qkJME0vr","eLAdDNolq6","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⊺⇮-1818","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6108","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=6108, right_input=1900, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-49950","layer":3},{"info":"compute unary expreesion, input=-49950, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=98983","layer":2},{"info":"compute unary expreesion, input=98983, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-297028","layer":1},{"info":"number node, value=4726","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=4726, right_input=1839, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1839","layer":3},{"info":"number node, value=1977","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=2054, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-1839, right_input=67, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-1839","layer":2},{"info":"compute unary expreesion, input=-1839, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-297028, right_input=192, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":0}],"base":10,"result_base":10,"text":"(∂⩏⊆(↯⪼(⊺⇮6108∠↢⊺⇮1900)))⩺⪪(↑(⊺⇮4726∌⊺⇮1839)⊕∕(⊺⇮1977∓⋝⊺⇮2054))=⊺⇮-1818","reverse_text":"⊺⇮-1818=(∂⩏⊆(↯⪼(⊺⇮6108∠↢⊺⇮1900)))⩺⪪(↑(⊺⇮4726∌⊺⇮1839)⊕∕(⊺⇮1977∓⋝⊺⇮2054))","cot":[{"info":"⊺⇮6108∠↢⊺⇮1900=⊺⇮-49950","layer":3},{"info":"↯⪼⊺⇮-49950=⊺⇮98983","layer":2},{"info":"∂⩏⊆⊺⇮98983=⊺⇮-297028","layer":1},{"info":"⊺⇮4726∌⊺⇮1839=⊺⇮-1839","layer":3},{"info":"⊺⇮1977∓⋝⊺⇮2054=⊺⇮67","layer":3},{"info":"⊺⇮-1839⊕∕⊺⇮67=⊺⇮-1839","layer":2},{"info":"↑⊺⇮-1839=⊺⇮192","layer":1},{"info":"⊺⇮-297028⩺⪪⊺⇮192=⊺⇮-1818","layer":0}]}
{"id":383,"expression_no_base_symbol":"(↸⊣(∮$1546$))⪘⫢($1017$⇤$4552$⩒⫫($2479$⊘))⪔($2066$⨪↰⇹$1545$≳⇉$1986$∘$2237$)∼($1663$⨚$1225$↼⊘⨖($4714$≓∲$2891$))","expression":"(↸⊣(∮⊺⇮1546))⪘⫢(⊺⇮1017⇤⊺⇮4552⩒⫫(⊺⇮2479⊘))⪔(⊺⇮2066⨪↰⇹⊺⇮1545≳⇉⊺⇮1986∘⊺⇮2237)∼(⊺⇮1663⨚⊺⇮1225↼⊘⨖(⊺⇮4714≓∲⊺⇮2891))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":220269939,"operation_count":14,"complexity_ratio":15733567.07142857,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1546,"base":10}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1017,"base":10},"right_expr":{"type":"numeric_atoms","value":4552,"base":10}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2479,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2066,"base":10},"right_expr":{"type":"numeric_atoms","value":1545,"base":10}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1986,"base":10},"right_expr":{"type":"numeric_atoms","value":2237,"base":10}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1663,"base":10},"right_expr":{"type":"numeric_atoms","value":1225,"base":10}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4714,"base":10},"right_expr":{"type":"numeric_atoms","value":2891,"base":10}}}}},"used_operators":["GjBEYRfMaF","oacrs7FA3X","wztAlM01eG","CqXKPLVYql","KFSx94NKJn","YSKBFp38Pu","gu96TGCTMs","DyGG3AbaNP","V0kx6qeWkN","tmPS8pqC7x","Z5m6OM72h2","bPywburJMS","nREPSIbpBE","s1XTVnmDOJ"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1546","layer":4},{"info":"compute unary expreesion, input=1546, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=220","layer":2},{"info":"number node, value=1017","layer":4},{"info":"number node, value=4552","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=4552, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-24997","layer":3},{"info":"number node, value=2479","layer":4},{"info":"compute unary expreesion, input=2479, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-24997, right_input=0, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=220, right_input=160, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=2066","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=1545, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2066","layer":3},{"info":"number node, value=1986","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=2237, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3972","layer":3},{"info":"compute binary expreesion, left_input=2066, right_input=3972, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=1663","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=1225, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-640","layer":3},{"info":"number node, value=4714","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=4714, right_input=2891, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=47923","layer":3},{"info":"compute binary expreesion, left_input=-640, right_input=47923, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=95624","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=95624, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↸⊣(∮⊺⇮1546))⪘⫢(⊺⇮1017⇤⊺⇮4552⩒⫫(⊺⇮2479⊘))⪔(⊺⇮2066⨪↰⇹⊺⇮1545≳⇉⊺⇮1986∘⊺⇮2237)∼(⊺⇮1663⨚⊺⇮1225↼⊘⨖(⊺⇮4714≓∲⊺⇮2891))=NaN","reverse_text":"NaN=(↸⊣(∮⊺⇮1546))⪘⫢(⊺⇮1017⇤⊺⇮4552⩒⫫(⊺⇮2479⊘))⪔(⊺⇮2066⨪↰⇹⊺⇮1545≳⇉⊺⇮1986∘⊺⇮2237)∼(⊺⇮1663⨚⊺⇮1225↼⊘⨖(⊺⇮4714≓∲⊺⇮2891))","cot":[{"info":"∮⊺⇮1546=⊺⇮67","layer":3},{"info":"↸⊣⊺⇮67=⊺⇮220","layer":2},{"info":"⊺⇮1017⇤⊺⇮4552=⊺⇮-24997","layer":3},{"info":"⊺⇮2479⊘=⊺⇮0","layer":3},{"info":"⊺⇮-24997⩒⫫⊺⇮0=⊺⇮160","layer":2},{"info":"⊺⇮220⪘⫢⊺⇮160=⊺⇮0","layer":1},{"info":"⊺⇮2066⨪↰⇹⊺⇮1545=⊺⇮2066","layer":3},{"info":"⊺⇮1986∘⊺⇮2237=⊺⇮3972","layer":3},{"info":"⊺⇮2066≳⇉⊺⇮3972=NaN","layer":2},{"info":"⊺⇮1663⨚⊺⇮1225=⊺⇮-640","layer":3},{"info":"⊺⇮4714≓∲⊺⇮2891=⊺⇮47923","layer":3},{"info":"⊺⇮-640↼⊘⨖⊺⇮47923=⊺⇮95624","layer":2},{"info":"NaN∼⊺⇮95624=NaN","layer":1},{"info":"⊺⇮0⪔NaN=NaN","layer":0}]}
{"id":384,"expression_no_base_symbol":"($2674$≭$1658$)⨥⫆($6023$∖$5428$)⩘($2686$⫣⪄⊒$1193$∙∹∝$3340$∠↢$2469$)≠≀(($8864$⋩≍≻)⪣⫩)⪔⊥(($2322$⨎$5691$)≨(⊬↢$2060$))","expression":"(⊺⇮2674≭⊺⇮1658)⨥⫆(⊺⇮6023∖⊺⇮5428)⩘(⊺⇮2686⫣⪄⊒⊺⇮1193∙∹∝⊺⇮3340∠↢⊺⇮2469)≠≀((⊺⇮8864⋩≍≻)⪣⫩)⪔⊥((⊺⇮2322⨎⊺⇮5691)≨(⊬↢⊺⇮2060))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2953,"operation_count":14,"complexity_ratio":210.92857142857142,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2674,"base":10},"right_expr":{"type":"numeric_atoms","value":1658,"base":10}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6023,"base":10},"right_expr":{"type":"numeric_atoms","value":5428,"base":10}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2686,"base":10},"right_expr":{"type":"numeric_atoms","value":1193,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3340,"base":10},"right_expr":{"type":"numeric_atoms","value":2469,"base":10}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":8864,"base":10}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2322,"base":10},"right_expr":{"type":"numeric_atoms","value":5691,"base":10}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2060,"base":10}}}}},"used_operators":["IwW236VD4Y","cHh1gJQ2o6","yXekIHxTD4","rxpJgHHUmx","tXD093vOjl","HmxsFra2vL","RabNbG55vr","KbjG8mgYpV","HJ9erzHUuu","iuk5sVOGFA","WYd1w68Nbz","0KMCeP1Jsh","rJVOvQCfKK","WPoGxAaPR1"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","AHs5Up7iyr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"⊺⇮-167","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2674","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=1658, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6023","layer":4},{"info":"number node, value=5428","layer":4},{"info":"compute binary expreesion, left_input=6023, right_input=5428, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=2686","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=2686, right_input=1193, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-2298","layer":3},{"info":"number node, value=3340","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=2469, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-46844","layer":3},{"info":"compute binary expreesion, left_input=-2298, right_input=-46844, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=8864","layer":4},{"info":"compute unary expreesion, input=8864, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"number node, value=2322","layer":4},{"info":"number node, value=5691","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=5691, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5691","layer":3},{"info":"number node, value=2060","layer":4},{"info":"compute unary expreesion, input=2060, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=5691, right_input=218, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-54434","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=-54434, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-114","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-114, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-167","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2674≭⊺⇮1658)⨥⫆(⊺⇮6023∖⊺⇮5428)⩘(⊺⇮2686⫣⪄⊒⊺⇮1193∙∹∝⊺⇮3340∠↢⊺⇮2469)≠≀((⊺⇮8864⋩≍≻)⪣⫩)⪔⊥((⊺⇮2322⨎⊺⇮5691)≨(⊬↢⊺⇮2060))=⊺⇮-167","reverse_text":"⊺⇮-167=(⊺⇮2674≭⊺⇮1658)⨥⫆(⊺⇮6023∖⊺⇮5428)⩘(⊺⇮2686⫣⪄⊒⊺⇮1193∙∹∝⊺⇮3340∠↢⊺⇮2469)≠≀((⊺⇮8864⋩≍≻)⪣⫩)⪔⊥((⊺⇮2322⨎⊺⇮5691)≨(⊬↢⊺⇮2060))","cot":[{"info":"⊺⇮2674≭⊺⇮1658=NaN","layer":3},{"info":"⊺⇮6023∖⊺⇮5428=⊺⇮0","layer":3},{"info":"NaN⨥⫆⊺⇮0=NaN","layer":2},{"info":"⊺⇮2686⫣⪄⊒⊺⇮1193=⊺⇮-2298","layer":3},{"info":"⊺⇮3340∠↢⊺⇮2469=⊺⇮-46844","layer":3},{"info":"⊺⇮-2298∙∹∝⊺⇮-46844=⊺⇮0","layer":2},{"info":"NaN⩘⊺⇮0=⊺⇮160","layer":1},{"info":"⊺⇮8864⋩≍≻=⊺⇮-55","layer":3},{"info":"⊺⇮-55⪣⫩=⊺⇮913","layer":2},{"info":"⊺⇮2322⨎⊺⇮5691=⊺⇮5691","layer":3},{"info":"⊬↢⊺⇮2060=⊺⇮218","layer":3},{"info":"⊺⇮5691≨⊺⇮218=⊺⇮-54434","layer":2},{"info":"⊺⇮913⪔⊥⊺⇮-54434=⊺⇮-114","layer":1},{"info":"⊺⇮160≠≀⊺⇮-114=⊺⇮-167","layer":0}]}
{"id":385,"expression_no_base_symbol":"(↩(⊤⊝$1359$)≬⇓$4163$⪒⊣⊆$1060$)∟","expression":"(↩(⊤⊝⊺⇮1359)≬⇓⊺⇮4163⪒⊣⊆⊺⇮1060)∟","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":84,"operation_count":5,"complexity_ratio":16.8,"tree":{"type":"unary","operator":"∟","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1359,"base":10}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4163,"base":10},"right_expr":{"type":"numeric_atoms","value":1060,"base":10}}}}},"used_operators":["hTbEZDJLEm","jLgFTUHLKL","jWTQ2TZYIH","rXAclfmB4M","eRqsBgTDFp"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","sdazOOVcIp","W4YGzv6Whe"],"result":"⊺⇮113","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1420","layer":3},{"info":"number node, value=4163","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=4163, right_input=1060, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8326","layer":3},{"info":"compute binary expreesion, left_input=1420, right_input=8326, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5108","layer":1},{"info":"compute unary expreesion, input=5108, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":0}],"base":10,"result_base":10,"text":"(↩(⊤⊝⊺⇮1359)≬⇓⊺⇮4163⪒⊣⊆⊺⇮1060)∟=⊺⇮113","reverse_text":"⊺⇮113=(↩(⊤⊝⊺⇮1359)≬⇓⊺⇮4163⪒⊣⊆⊺⇮1060)∟","cot":[{"info":"⊤⊝⊺⇮1359=⊺⇮1420","layer":3},{"info":"⊺⇮4163⪒⊣⊆⊺⇮1060=⊺⇮8326","layer":3},{"info":"⊺⇮1420≬⇓⊺⇮8326=⊺⇮-22","layer":2},{"info":"↩⊺⇮-22=⊺⇮5108","layer":1},{"info":"⊺⇮5108∟=⊺⇮113","layer":0}]}
{"id":386,"expression_no_base_symbol":"((∂(⇙⪊$1892$))⨽∌(($3744$⨑≵⋬$6964$)∳⫺($2580$∼$2166$)))⫞⩸⩒(($2147$⨂≜$3024$⇌⫙⪟$2956$⋹⋡⊁$3740$)∛($3223$∇⊂⋱$3126$⨒($3259$⫑%∭)))","expression":"((∂(⇙⪊⊺⇮1892))⨽∌((⊺⇮3744⨑≵⋬⊺⇮6964)∳⫺(⊺⇮2580∼⊺⇮2166)))⫞⩸⩒((⊺⇮2147⨂≜⊺⇮3024⇌⫙⪟⊺⇮2956⋹⋡⊁⊺⇮3740)∛(⊺⇮3223∇⊂⋱⊺⇮3126⨒(⊺⇮3259⫑%∭)))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":66408,"operation_count":14,"complexity_ratio":4743.428571428572,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1892,"base":10}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3744,"base":10},"right_expr":{"type":"numeric_atoms","value":6964,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2580,"base":10},"right_expr":{"type":"numeric_atoms","value":2166,"base":10}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2147,"base":10},"right_expr":{"type":"numeric_atoms","value":3024,"base":10}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2956,"base":10},"right_expr":{"type":"numeric_atoms","value":3740,"base":10}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3223,"base":10},"right_expr":{"type":"numeric_atoms","value":3126,"base":10}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":3259,"base":10}}}}},"used_operators":["XGcMNugi78","9samAPKr6k","Uaa54Peajs","pB6Fcnrjim","AzXXKTstlj","XnXgA4xnOs","DyGG3AbaNP","w2537kitQq","AFVx7xoS7T","k1SHOSEABc","As8RqfVLgs","y75s1iXyHd","nhYeJWJD5X","xUx7qlDO4z"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1892","layer":4},{"info":"compute unary expreesion, input=1892, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":2},{"info":"number node, value=3744","layer":4},{"info":"number node, value=6964","layer":4},{"info":"compute binary expreesion, left_input=3744, right_input=6964, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-28649","layer":3},{"info":"number node, value=2580","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=2166, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-28649, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-264, right_input=-260, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=2147","layer":4},{"info":"number node, value=3024","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=3024, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2956","layer":4},{"info":"number node, value=3740","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=3740, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4490","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4490, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"number node, value=3223","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=3223, right_input=3126, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5900","layer":3},{"info":"number node, value=3259","layer":4},{"info":"compute unary expreesion, input=3259, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5900, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((∂(⇙⪊⊺⇮1892))⨽∌((⊺⇮3744⨑≵⋬⊺⇮6964)∳⫺(⊺⇮2580∼⊺⇮2166)))⫞⩸⩒((⊺⇮2147⨂≜⊺⇮3024⇌⫙⪟⊺⇮2956⋹⋡⊁⊺⇮3740)∛(⊺⇮3223∇⊂⋱⊺⇮3126⨒(⊺⇮3259⫑%∭)))=⊺⇮67","reverse_text":"⊺⇮67=((∂(⇙⪊⊺⇮1892))⨽∌((⊺⇮3744⨑≵⋬⊺⇮6964)∳⫺(⊺⇮2580∼⊺⇮2166)))⫞⩸⩒((⊺⇮2147⨂≜⊺⇮3024⇌⫙⪟⊺⇮2956⋹⋡⊁⊺⇮3740)∛(⊺⇮3223∇⊂⋱⊺⇮3126⨒(⊺⇮3259⫑%∭)))","cot":[{"info":"⇙⪊⊺⇮1892=⊺⇮0","layer":3},{"info":"∂⊺⇮0=⊺⇮-264","layer":2},{"info":"⊺⇮3744⨑≵⋬⊺⇮6964=⊺⇮-28649","layer":3},{"info":"⊺⇮2580∼⊺⇮2166=NaN","layer":3},{"info":"⊺⇮-28649∳⫺NaN=⊺⇮-260","layer":2},{"info":"⊺⇮-264⨽∌⊺⇮-260=⊺⇮0","layer":1},{"info":"⊺⇮2147⨂≜⊺⇮3024=NaN","layer":3},{"info":"⊺⇮2956⋹⋡⊁⊺⇮3740=⊺⇮4490","layer":3},{"info":"NaN⇌⫙⪟⊺⇮4490=NaN","layer":2},{"info":"⊺⇮3223∇⊂⋱⊺⇮3126=⊺⇮5900","layer":3},{"info":"⊺⇮3259⫑%∭=NaN","layer":3},{"info":"⊺⇮5900⨒NaN=NaN","layer":2},{"info":"NaN∛NaN=⊺⇮67","layer":1},{"info":"⊺⇮0⫞⩸⩒⊺⇮67=⊺⇮67","layer":0}]}
{"id":387,"expression_no_base_symbol":"((⋃$1886$∴$2095$)⩁)↺($1093$∊∟⩊$4252$⨫⇇↔($6238$⊹∫⫚$3092$))≌(⊬↢($1081$⋥⋵⩄$4691$))","expression":"((⋃⊺⇮1886∴⊺⇮2095)⩁)↺(⊺⇮1093∊∟⩊⊺⇮4252⨫⇇↔(⊺⇮6238⊹∫⫚⊺⇮3092))≌(⊬↢(⊺⇮1081⋥⋵⩄⊺⇮4691))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1714,"operation_count":10,"complexity_ratio":171.4,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1886,"base":10},"right_expr":{"type":"numeric_atoms","value":2095,"base":10}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1093,"base":10},"right_expr":{"type":"numeric_atoms","value":4252,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6238,"base":10},"right_expr":{"type":"numeric_atoms","value":3092,"base":10}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1081,"base":10},"right_expr":{"type":"numeric_atoms","value":4691,"base":10}}}}},"used_operators":["7j4O788W3g","5GqDbVmqXU","3mBM5G4a3l","hrf7POJlIJ","lyWz822IDG","LXhwmt4mBO","ddLRYrp01A","uWAJUKEvyW","WPoGxAaPR1","7t3wd0Fuz7"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","g55IO6H4Gj","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=2095, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5420","layer":3},{"info":"compute unary expreesion, input=5420, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=10942","layer":2},{"info":"compute unary expreesion, input=10942, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-84756","layer":1},{"info":"number node, value=1093","layer":4},{"info":"number node, value=4252","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=4252, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4252","layer":3},{"info":"number node, value=6238","layer":4},{"info":"number node, value=3092","layer":4},{"info":"compute binary expreesion, left_input=6238, right_input=3092, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-304","layer":3},{"info":"compute binary expreesion, left_input=4252, right_input=-304, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1081","layer":4},{"info":"number node, value=4691","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=4691, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-1228","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-1228, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-84756, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⋃⊺⇮1886∴⊺⇮2095)⩁)↺(⊺⇮1093∊∟⩊⊺⇮4252⨫⇇↔(⊺⇮6238⊹∫⫚⊺⇮3092))≌(⊬↢(⊺⇮1081⋥⋵⩄⊺⇮4691))=NaN","reverse_text":"NaN=((⋃⊺⇮1886∴⊺⇮2095)⩁)↺(⊺⇮1093∊∟⩊⊺⇮4252⨫⇇↔(⊺⇮6238⊹∫⫚⊺⇮3092))≌(⊬↢(⊺⇮1081⋥⋵⩄⊺⇮4691))","cot":[{"info":"⊺⇮1886∴⊺⇮2095=⊺⇮5420","layer":3},{"info":"⋃⊺⇮5420=⊺⇮10942","layer":2},{"info":"⊺⇮10942⩁=⊺⇮-84756","layer":1},{"info":"⊺⇮1093∊∟⩊⊺⇮4252=⊺⇮4252","layer":3},{"info":"⊺⇮6238⊹∫⫚⊺⇮3092=⊺⇮-304","layer":3},{"info":"⊺⇮4252⨫⇇↔⊺⇮-304=⊺⇮-527","layer":2},{"info":"⊺⇮1081⋥⋵⩄⊺⇮4691=⊺⇮113","layer":3},{"info":"⊬↢⊺⇮113=⊺⇮-1228","layer":2},{"info":"⊺⇮-527≌⊺⇮-1228=NaN","layer":1},{"info":"⊺⇮-84756↺NaN=NaN","layer":0}]}
{"id":388,"expression_no_base_symbol":"(∓⪦((⇁⨣⪵$6329$)∑⇟⊟$7638$⊲⩕⊾$7956$))↓((($1982$⨚⇆$1554$)⊲⩕⊾($2205$%$4926$))⊉↱≁(⋃$1098$∺≝⩲$7524$))","expression":"(∓⪦((⇁⨣⪵⊺⇮6329)∑⇟⊟⊺⇮7638⊲⩕⊾⊺⇮7956))↓(((⊺⇮1982⨚⇆⊺⇮1554)⊲⩕⊾(⊺⇮2205%⊺⇮4926))⊉↱≁(⋃⊺⇮1098∺≝⩲⊺⇮7524))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14300,"operation_count":11,"complexity_ratio":1300.0,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6329,"base":10}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":7638,"base":10},"right_expr":{"type":"numeric_atoms","value":7956,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1982,"base":10},"right_expr":{"type":"numeric_atoms","value":1554,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2205,"base":10},"right_expr":{"type":"numeric_atoms","value":4926,"base":10}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1098,"base":10},"right_expr":{"type":"numeric_atoms","value":7524,"base":10}}}}},"used_operators":["Af076pWI7l","D309nIvmXG","U7g4x0WXJJ","inkyxCbjAn","DmTXOeWf9t","w2P8NbNXyL","lwHaAYXP2r","k8jYdgA6NY","3mBM5G4a3l","KPf6cnQVty"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","g55IO6H4Gj","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6329","layer":4},{"info":"compute unary expreesion, input=6329, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=7638","layer":4},{"info":"number node, value=7956","layer":4},{"info":"compute binary expreesion, left_input=7638, right_input=7956, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-198398","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-198398, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":1},{"info":"number node, value=1982","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=1554, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=2205","layer":4},{"info":"number node, value=4926","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=4926, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2205","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2205, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"number node, value=1098","layer":4},{"info":"number node, value=7524","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=7524, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=422, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":10,"result_base":10,"text":"(∓⪦((⇁⨣⪵⊺⇮6329)∑⇟⊟⊺⇮7638⊲⩕⊾⊺⇮7956))↓(((⊺⇮1982⨚⇆⊺⇮1554)⊲⩕⊾(⊺⇮2205%⊺⇮4926))⊉↱≁(⋃⊺⇮1098∺≝⩲⊺⇮7524))=⊺⇮-134","reverse_text":"⊺⇮-134=(∓⪦((⇁⨣⪵⊺⇮6329)∑⇟⊟⊺⇮7638⊲⩕⊾⊺⇮7956))↓(((⊺⇮1982⨚⇆⊺⇮1554)⊲⩕⊾(⊺⇮2205%⊺⇮4926))⊉↱≁(⋃⊺⇮1098∺≝⩲⊺⇮7524))","cot":[{"info":"⇁⨣⪵⊺⇮6329=NaN","layer":3},{"info":"⊺⇮7638⊲⩕⊾⊺⇮7956=⊺⇮-198398","layer":3},{"info":"NaN∑⇟⊟⊺⇮-198398=NaN","layer":2},{"info":"∓⪦NaN=NaN","layer":1},{"info":"⊺⇮1982⨚⇆⊺⇮1554=NaN","layer":3},{"info":"⊺⇮2205%⊺⇮4926=⊺⇮2205","layer":3},{"info":"NaN⊲⩕⊾⊺⇮2205=NaN","layer":2},{"info":"⊺⇮1098∺≝⩲⊺⇮7524=⊺⇮160","layer":3},{"info":"⋃⊺⇮160=⊺⇮422","layer":2},{"info":"NaN⊉↱≁⊺⇮422=NaN","layer":1},{"info":"NaN↓NaN=⊺⇮-134","layer":0}]}
{"id":389,"expression_no_base_symbol":"($7788$⫘$5582$⪭≯$2135$⩒⫫$8665$⩚⊴⇥(≤/$1638$⫥∨⫟$3926$))⋾⨃∁((($1126$⫌⩉⩟$8690$)∈)∷($4232$⊍⩺⋍$4247$)⨟⋌⩍($2296$⊘))","expression":"(⊺⇮7788⫘⊺⇮5582⪭≯⊺⇮2135⩒⫫⊺⇮8665⩚⊴⇥(≤/⊺⇮1638⫥∨⫟⊺⇮3926))⋾⨃∁(((⊺⇮1126⫌⩉⩟⊺⇮8690)∈)∷(⊺⇮4232⊍⩺⋍⊺⇮4247)⨟⋌⩍(⊺⇮2296⊘))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":51876,"operation_count":13,"complexity_ratio":3990.4615384615386,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":7788,"base":10},"right_expr":{"type":"numeric_atoms","value":5582,"base":10}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2135,"base":10},"right_expr":{"type":"numeric_atoms","value":8665,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1638,"base":10},"right_expr":{"type":"numeric_atoms","value":3926,"base":10}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1126,"base":10},"right_expr":{"type":"numeric_atoms","value":8690,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4232,"base":10},"right_expr":{"type":"numeric_atoms","value":4247,"base":10}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2296,"base":10}}}}},"used_operators":["212REbPD9h","NTOWxs364D","XAx5wpdLa6","48vC8HMD2b","KFSx94NKJn","eLAdDNolq6","KYD54nUTWz","D3AQDKkPcf","ztP7wcbY7m","XIIwhv8d0m","rGHVDoGpnC","OXDGMFPWZM","gu96TGCTMs"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Tcnh7f0tEr","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7788","layer":4},{"info":"number node, value=5582","layer":4},{"info":"compute binary expreesion, left_input=7788, right_input=5582, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=9163093","layer":3},{"info":"number node, value=2135","layer":4},{"info":"number node, value=8665","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=8665, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1833","layer":3},{"info":"compute binary expreesion, left_input=9163093, right_input=1833, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1638","layer":4},{"info":"number node, value=3926","layer":4},{"info":"compute binary expreesion, left_input=1638, right_input=3926, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1126","layer":4},{"info":"number node, value=8690","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=8690, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-821","layer":2},{"info":"number node, value=4232","layer":4},{"info":"number node, value=4247","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=4247, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2296","layer":4},{"info":"compute unary expreesion, input=2296, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-821, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮7788⫘⊺⇮5582⪭≯⊺⇮2135⩒⫫⊺⇮8665⩚⊴⇥(≤/⊺⇮1638⫥∨⫟⊺⇮3926))⋾⨃∁(((⊺⇮1126⫌⩉⩟⊺⇮8690)∈)∷(⊺⇮4232⊍⩺⋍⊺⇮4247)⨟⋌⩍(⊺⇮2296⊘))=NaN","reverse_text":"NaN=(⊺⇮7788⫘⊺⇮5582⪭≯⊺⇮2135⩒⫫⊺⇮8665⩚⊴⇥(≤/⊺⇮1638⫥∨⫟⊺⇮3926))⋾⨃∁(((⊺⇮1126⫌⩉⩟⊺⇮8690)∈)∷(⊺⇮4232⊍⩺⋍⊺⇮4247)⨟⋌⩍(⊺⇮2296⊘))","cot":[{"info":"⊺⇮7788⫘⊺⇮5582=⊺⇮9163093","layer":3},{"info":"⊺⇮2135⩒⫫⊺⇮8665=⊺⇮1833","layer":3},{"info":"⊺⇮9163093⪭≯⊺⇮1833=NaN","layer":2},{"info":"⊺⇮1638⫥∨⫟⊺⇮3926=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⊺⇮1126⫌⩉⩟⊺⇮8690=⊺⇮-50","layer":3},{"info":"⊺⇮-50∈=⊺⇮-821","layer":2},{"info":"⊺⇮4232⊍⩺⋍⊺⇮4247=NaN","layer":3},{"info":"⊺⇮2296⊘=⊺⇮0","layer":3},{"info":"NaN⨟⋌⩍⊺⇮0=NaN","layer":2},{"info":"⊺⇮-821∷NaN=NaN","layer":1},{"info":"NaN⋾⨃∁NaN=NaN","layer":0}]}
{"id":390,"expression_no_base_symbol":"(⨣⨃⇪(($3471$⊉≛↸$1200$)⪶≀⋏$2069$⇡⇂$3251$))≀⫉((⊙↵-$3356$)⫦⪉(⩪∧⨌$6571$))⇡⇂(⩰$4476$⪍↜⋙$1157$)","expression":"(⨣⨃⇪((⊺⇮3471⊉≛↸⊺⇮1200)⪶≀⋏⊺⇮2069⇡⇂⊺⇮3251))≀⫉((⊙↵-⊺⇮3356)⫦⪉(⩪∧⨌⊺⇮6571))⇡⇂(⩰⊺⇮4476⪍↜⋙⊺⇮1157)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":63553,"operation_count":11,"complexity_ratio":5777.545454545455,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3471,"base":10},"right_expr":{"type":"numeric_atoms","value":1200,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2069,"base":10},"right_expr":{"type":"numeric_atoms","value":3251,"base":10}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3356,"base":10}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":6571,"base":10}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4476,"base":10},"right_expr":{"type":"numeric_atoms","value":1157,"base":10}}}}},"used_operators":["oZj3VtZNQx","AcOhelriW5","zR4jO40bMj","DZ8iAZOCBD","UMwdvZNt44","wscyQdcy20","oWn0xqSxBt","6iOiAJX1F8","WkeUrDK8WX","L05ObWFQCd"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⊺⇮2822","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3471","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=1200, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6942","layer":3},{"info":"number node, value=2069","layer":4},{"info":"number node, value=3251","layer":4},{"info":"compute binary expreesion, left_input=2069, right_input=3251, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6942, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=3356","layer":4},{"info":"compute unary expreesion, input=3356, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=6571","layer":4},{"info":"compute unary expreesion, input=6571, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=65710","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=65710, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4902","layer":2},{"info":"number node, value=4476","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=4476, right_input=1157, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=6638","layer":3},{"info":"compute unary expreesion, input=6638, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-7638","layer":2},{"info":"compute binary expreesion, left_input=4902, right_input=-7638, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":10,"result_base":10,"text":"(⨣⨃⇪((⊺⇮3471⊉≛↸⊺⇮1200)⪶≀⋏⊺⇮2069⇡⇂⊺⇮3251))≀⫉((⊙↵-⊺⇮3356)⫦⪉(⩪∧⨌⊺⇮6571))⇡⇂(⩰⊺⇮4476⪍↜⋙⊺⇮1157)=⊺⇮2822","reverse_text":"⊺⇮2822=(⨣⨃⇪((⊺⇮3471⊉≛↸⊺⇮1200)⪶≀⋏⊺⇮2069⇡⇂⊺⇮3251))≀⫉((⊙↵-⊺⇮3356)⫦⪉(⩪∧⨌⊺⇮6571))⇡⇂(⩰⊺⇮4476⪍↜⋙⊺⇮1157)","cot":[{"info":"⊺⇮3471⊉≛↸⊺⇮1200=⊺⇮6942","layer":3},{"info":"⊺⇮2069⇡⇂⊺⇮3251=NaN","layer":3},{"info":"⊺⇮6942⪶≀⋏NaN=NaN","layer":2},{"info":"⨣⨃⇪NaN=⊺⇮1405","layer":1},{"info":"⊙↵-⊺⇮3356=⊺⇮-1","layer":3},{"info":"⩪∧⨌⊺⇮6571=⊺⇮65710","layer":3},{"info":"⊺⇮-1⫦⪉⊺⇮65710=⊺⇮4902","layer":2},{"info":"⊺⇮4476⪍↜⋙⊺⇮1157=⊺⇮6638","layer":3},{"info":"⩰⊺⇮6638=⊺⇮-7638","layer":2},{"info":"⊺⇮4902⇡⇂⊺⇮-7638=NaN","layer":1},{"info":"⊺⇮1405≀⫉NaN=⊺⇮2822","layer":0}]}
{"id":391,"expression_no_base_symbol":"($1480$≓∲$1040$+$2389$↱$1203$)⩧⪆($1623$+$2075$)⇌⫙⪟$3150$⩼⇪↪$1050$∷","expression":"(⊺⇮1480≓∲⊺⇮1040+⊺⇮2389↱⊺⇮1203)⩧⪆(⊺⇮1623+⊺⇮2075)⇌⫙⪟⊺⇮3150⩼⇪↪⊺⇮1050∷","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":139,"operation_count":8,"complexity_ratio":17.375,"tree":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1480,"base":10},"right_expr":{"type":"numeric_atoms","value":1040,"base":10}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2389,"base":10},"right_expr":{"type":"numeric_atoms","value":1203,"base":10}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1623,"base":10},"right_expr":{"type":"numeric_atoms","value":2075,"base":10}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3150,"base":10},"right_expr":{"type":"numeric_atoms","value":1050,"base":10}}}}},"used_operators":["nFAOW8KTqp","Ikt5ks8PT7","W4YGzv6Whe","s1XTVnmDOJ","SR5kFfdi6N","AFVx7xoS7T","ocnLzx9CaJ"],"dependent_operators":["D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","eewbuw0ToL","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⊺⇮-5415","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1480","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1040, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=15583","layer":3},{"info":"number node, value=2389","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=1203, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3087","layer":3},{"info":"compute binary expreesion, left_input=15583, right_input=-3087, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12496","layer":2},{"info":"number node, value=1623","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=2075, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3698","layer":3},{"info":"number node, value=3150","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=3150, right_input=1050, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-1833","layer":3},{"info":"compute binary expreesion, left_input=3698, right_input=-1833, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=1805","layer":2},{"info":"compute binary expreesion, left_input=12496, right_input=1805, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1805","layer":1},{"info":"compute unary expreesion, input=-1805, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-5415","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1480≓∲⊺⇮1040+⊺⇮2389↱⊺⇮1203)⩧⪆(⊺⇮1623+⊺⇮2075)⇌⫙⪟⊺⇮3150⩼⇪↪⊺⇮1050∷=⊺⇮-5415","reverse_text":"⊺⇮-5415=(⊺⇮1480≓∲⊺⇮1040+⊺⇮2389↱⊺⇮1203)⩧⪆(⊺⇮1623+⊺⇮2075)⇌⫙⪟⊺⇮3150⩼⇪↪⊺⇮1050∷","cot":[{"info":"⊺⇮1480≓∲⊺⇮1040=⊺⇮15583","layer":3},{"info":"⊺⇮2389↱⊺⇮1203=⊺⇮-3087","layer":3},{"info":"⊺⇮15583+⊺⇮-3087=⊺⇮12496","layer":2},{"info":"⊺⇮1623+⊺⇮2075=⊺⇮3698","layer":3},{"info":"⊺⇮3150⩼⇪↪⊺⇮1050=⊺⇮-1833","layer":3},{"info":"⊺⇮3698⇌⫙⪟⊺⇮-1833=⊺⇮1805","layer":2},{"info":"⊺⇮12496⩧⪆⊺⇮1805=⊺⇮-1805","layer":1},{"info":"⊺⇮-1805∷=⊺⇮-5415","layer":0}]}
{"id":392,"expression_no_base_symbol":"((($2557$⫿)⩨$4483$⪬$1157$)⫏⊷)⩚⊴⇥((($1202$⊊)⊜)⊍⩺⋍($2318$⨟⋌⩍$5504$⊭∹↮))","expression":"(((⊺⇮2557⫿)⩨⊺⇮4483⪬⊺⇮1157)⫏⊷)⩚⊴⇥(((⊺⇮1202⊊)⊜)⊍⩺⋍(⊺⇮2318⨟⋌⩍⊺⇮5504⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1163,"operation_count":10,"complexity_ratio":116.3,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2557,"base":10}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4483,"base":10},"right_expr":{"type":"numeric_atoms","value":1157,"base":10}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1202,"base":10}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2318,"base":10},"right_expr":{"type":"numeric_atoms","value":5504,"base":10}}}}},"used_operators":["NTOWxs364D","dcShxvzhyw","2DlMacCsIx","9tKT6PmtkH","Ez1Nq5fNfI","OXDGMFPWZM","Eev2Q7dYIw","W9R8I5fN5A","xNBdhnnwKq","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2557","layer":3},{"info":"number node, value=4483","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=4483, right_input=1157, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2557, right_input=1234, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":1},{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute unary expreesion, input=90927, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-361972","layer":2},{"info":"number node, value=2318","layer":4},{"info":"number node, value=5504","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=5504, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-361972, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-818, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2557⫿)⩨⊺⇮4483⪬⊺⇮1157)⫏⊷)⩚⊴⇥(((⊺⇮1202⊊)⊜)⊍⩺⋍(⊺⇮2318⨟⋌⩍⊺⇮5504⊭∹↮))=NaN","reverse_text":"NaN=(((⊺⇮2557⫿)⩨⊺⇮4483⪬⊺⇮1157)⫏⊷)⩚⊴⇥(((⊺⇮1202⊊)⊜)⊍⩺⋍(⊺⇮2318⨟⋌⩍⊺⇮5504⊭∹↮))","cot":[{"info":"⊺⇮2557⫿=⊺⇮2557","layer":3},{"info":"⊺⇮4483⪬⊺⇮1157=⊺⇮1234","layer":3},{"info":"⊺⇮2557⩨⊺⇮1234=⊺⇮0","layer":2},{"info":"⊺⇮0⫏⊷=⊺⇮-818","layer":1},{"info":"⊺⇮1202⊊=⊺⇮90927","layer":3},{"info":"⊺⇮90927⊜=⊺⇮-361972","layer":2},{"info":"⊺⇮2318⨟⋌⩍⊺⇮5504=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⊺⇮-361972⊍⩺⋍NaN=NaN","layer":1},{"info":"⊺⇮-818⩚⊴⇥NaN=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"(⫖→$7763$⫗⊷⫓$6789$)⨑≵⋬($1159$↡⊰⫅$1244$)⫁⪎($1815$⊊)⨸⪁(⇠$1851$⨸$3049$)⨚⇆(($1856$∠↢$1641$)⫩⊇)","expression":"(⫖→⊺⇮7763⫗⊷⫓⊺⇮6789)⨑≵⋬(⊺⇮1159↡⊰⫅⊺⇮1244)⫁⪎(⊺⇮1815⊊)⨸⪁(⇠⊺⇮1851⨸⊺⇮3049)⨚⇆((⊺⇮1856∠↢⊺⇮1641)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":44907,"operation_count":12,"complexity_ratio":3742.25,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":7763,"base":10},"right_expr":{"type":"numeric_atoms","value":6789,"base":10}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1159,"base":10},"right_expr":{"type":"numeric_atoms","value":1244,"base":10}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1815,"base":10}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1851,"base":10},"right_expr":{"type":"numeric_atoms","value":3049,"base":10}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1856,"base":10},"right_expr":{"type":"numeric_atoms","value":1641,"base":10}}}}},"used_operators":["g55IO6H4Gj","XnXgA4xnOs","U4ylXWHChL","zashukvMKz","xRrnTEsQ6j","VCtxkLNOzz","W9R8I5fN5A","lwHaAYXP2r","18saOjeKKm","KmoU8R5UQR","BjRHVeLaeN","KbjG8mgYpV"],"dependent_operators":["W4YGzv6Whe","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7763","layer":4},{"info":"number node, value=6789","layer":4},{"info":"compute binary expreesion, left_input=7763, right_input=6789, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=1159","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=1244, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2488","layer":3},{"info":"number node, value=1815","layer":4},{"info":"compute unary expreesion, input=1815, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute binary expreesion, left_input=2488, right_input=90927, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-88439","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-88439, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=799247","layer":1},{"info":"number node, value=1851","layer":4},{"info":"number node, value=3049","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=3049, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3702","layer":3},{"info":"compute unary expreesion, input=3702, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3460","layer":2},{"info":"number node, value=1856","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=1641, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-29316","layer":3},{"info":"compute unary expreesion, input=-29316, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=29358","layer":2},{"info":"compute binary expreesion, left_input=-3460, right_input=29358, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=799247, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫖→⊺⇮7763⫗⊷⫓⊺⇮6789)⨑≵⋬(⊺⇮1159↡⊰⫅⊺⇮1244)⫁⪎(⊺⇮1815⊊)⨸⪁(⇠⊺⇮1851⨸⊺⇮3049)⨚⇆((⊺⇮1856∠↢⊺⇮1641)⫩⊇)=NaN","reverse_text":"NaN=(⫖→⊺⇮7763⫗⊷⫓⊺⇮6789)⨑≵⋬(⊺⇮1159↡⊰⫅⊺⇮1244)⫁⪎(⊺⇮1815⊊)⨸⪁(⇠⊺⇮1851⨸⊺⇮3049)⨚⇆((⊺⇮1856∠↢⊺⇮1641)⫩⊇)","cot":[{"info":"⊺⇮7763⫗⊷⫓⊺⇮6789=⊺⇮-134","layer":3},{"info":"⫖→⊺⇮-134=⊺⇮177","layer":2},{"info":"⊺⇮1159↡⊰⫅⊺⇮1244=⊺⇮2488","layer":3},{"info":"⊺⇮1815⊊=⊺⇮90927","layer":3},{"info":"⊺⇮2488⫁⪎⊺⇮90927=⊺⇮-88439","layer":2},{"info":"⊺⇮177⨑≵⋬⊺⇮-88439=⊺⇮799247","layer":1},{"info":"⊺⇮1851⨸⊺⇮3049=⊺⇮3702","layer":3},{"info":"⇠⊺⇮3702=⊺⇮-3460","layer":2},{"info":"⊺⇮1856∠↢⊺⇮1641=⊺⇮-29316","layer":3},{"info":"⊺⇮-29316⫩⊇=⊺⇮29358","layer":2},{"info":"⊺⇮-3460⨚⇆⊺⇮29358=NaN","layer":1},{"info":"⊺⇮799247⨸⪁NaN=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"(≪$2954$)⩒⫫($1226$⩘⨬⇊)⋝⋈⪟$4065$≁$3116$⨫⇇↔($1164$∙∹∝$7213$)⪉⨛($5734$⪬∳)⩌⋺$7692$⨔⇊$1378$⊲⩕⊾($2416$⊕∕$4051$⇴∐($1879$⋭≵$1783$))","expression":"(≪⊺⇮2954)⩒⫫(⊺⇮1226⩘⨬⇊)⋝⋈⪟⊺⇮4065≁⊺⇮3116⨫⇇↔(⊺⇮1164∙∹∝⊺⇮7213)⪉⨛(⊺⇮5734⪬∳)⩌⋺⊺⇮7692⨔⇊⊺⇮1378⊲⩕⊾(⊺⇮2416⊕∕⊺⇮4051⇴∐(⊺⇮1879⋭≵⊺⇮1783))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23556,"operation_count":15,"complexity_ratio":1570.4,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":2954,"base":10}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1226,"base":10}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4065,"base":10},"right_expr":{"type":"numeric_atoms","value":3116,"base":10}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1164,"base":10},"right_expr":{"type":"numeric_atoms","value":7213,"base":10}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":5734,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":7692,"base":10},"right_expr":{"type":"numeric_atoms","value":1378,"base":10}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2416,"base":10},"right_expr":{"type":"numeric_atoms","value":4051,"base":10}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1879,"base":10},"right_expr":{"type":"numeric_atoms","value":1783,"base":10}}}}},"used_operators":["EWw2JM7wp4","2DDjHMKMc0","KFSx94NKJn","Qtd6bqUJcN","XXmTpEpWTW","LXhwmt4mBO","8N2wDY1A35","HmxsFra2vL","DmTXOeWf9t","g7Hmc5v1ko","O9U3z1385E","JclMnS0uGI","HnzytWxmAO","9cloC0Ngie","jBncVCNhdl"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2954","layer":4},{"info":"compute unary expreesion, input=2954, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=1226","layer":4},{"info":"compute unary expreesion, input=1226, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=4065","layer":4},{"info":"number node, value=3116","layer":4},{"info":"compute binary expreesion, left_input=4065, right_input=3116, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=61583","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=7213","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=7213, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=61583, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=5734","layer":4},{"info":"compute unary expreesion, input=5734, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=7692","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=7692, right_input=1378, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1378","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=1378, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-790","layer":2},{"info":"number node, value=2416","layer":4},{"info":"number node, value=4051","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=4051, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2416","layer":3},{"info":"number node, value=1879","layer":4},{"info":"number node, value=1783","layer":4},{"info":"compute binary expreesion, left_input=1879, right_input=1783, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=2416, right_input=67, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-790, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≪⊺⇮2954)⩒⫫(⊺⇮1226⩘⨬⇊)⋝⋈⪟⊺⇮4065≁⊺⇮3116⨫⇇↔(⊺⇮1164∙∹∝⊺⇮7213)⪉⨛(⊺⇮5734⪬∳)⩌⋺⊺⇮7692⨔⇊⊺⇮1378⊲⩕⊾(⊺⇮2416⊕∕⊺⇮4051⇴∐(⊺⇮1879⋭≵⊺⇮1783))=NaN","reverse_text":"NaN=(≪⊺⇮2954)⩒⫫(⊺⇮1226⩘⨬⇊)⋝⋈⪟⊺⇮4065≁⊺⇮3116⨫⇇↔(⊺⇮1164∙∹∝⊺⇮7213)⪉⨛(⊺⇮5734⪬∳)⩌⋺⊺⇮7692⨔⇊⊺⇮1378⊲⩕⊾(⊺⇮2416⊕∕⊺⇮4051⇴∐(⊺⇮1879⋭≵⊺⇮1783))","cot":[{"info":"≪⊺⇮2954=⊺⇮913","layer":3},{"info":"⊺⇮1226⩘⨬⇊=NaN","layer":3},{"info":"⊺⇮913⩒⫫NaN=NaN","layer":2},{"info":"⊺⇮4065≁⊺⇮3116=⊺⇮61583","layer":3},{"info":"⊺⇮1164∙∹∝⊺⇮7213=⊺⇮0","layer":3},{"info":"⊺⇮61583⨫⇇↔⊺⇮0=⊺⇮-527","layer":2},{"info":"NaN⋝⋈⪟⊺⇮-527=NaN","layer":1},{"info":"⊺⇮5734⪬∳=⊺⇮-709","layer":3},{"info":"⊺⇮7692⨔⇊⊺⇮1378=⊺⇮1378","layer":3},{"info":"⊺⇮-709⩌⋺⊺⇮1378=⊺⇮-790","layer":2},{"info":"⊺⇮2416⊕∕⊺⇮4051=⊺⇮2416","layer":3},{"info":"⊺⇮1879⋭≵⊺⇮1783=⊺⇮67","layer":3},{"info":"⊺⇮2416⇴∐⊺⇮67=NaN","layer":2},{"info":"⊺⇮-790⊲⩕⊾NaN=NaN","layer":1},{"info":"NaN⪉⨛NaN=NaN","layer":0}]}
{"id":395,"expression_no_base_symbol":"(⊤⊝$1431$⫯⪬∳$1073$⪄$7116$≹⇙⪍$4076$)⩦(⊽(($1318$⨻⩈⩔$5747$)⪎↠($2949$∛$8682$)))","expression":"(⊤⊝⊺⇮1431⫯⪬∳⊺⇮1073⪄⊺⇮7116≹⇙⪍⊺⇮4076)⩦(⊽((⊺⇮1318⨻⩈⩔⊺⇮5747)⪎↠(⊺⇮2949∛⊺⇮8682)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":347,"operation_count":9,"complexity_ratio":38.55555555555556,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1431,"base":10},"right_expr":{"type":"numeric_atoms","value":1073,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7116,"base":10},"right_expr":{"type":"numeric_atoms","value":4076,"base":10}}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1318,"base":10},"right_expr":{"type":"numeric_atoms","value":5747,"base":10}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2949,"base":10},"right_expr":{"type":"numeric_atoms","value":8682,"base":10}}}}},"used_operators":["0kmYd0q39Y","rXAclfmB4M","SUmda5xLS4","d7ASUq0ydm","AHs5Up7iyr","QxG7OkqoLX","3tVxb0NHM4","nEsXyWgiOK","w2537kitQq"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","sdazOOVcIp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1431","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=1073, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6115","layer":3},{"info":"number node, value=7116","layer":4},{"info":"number node, value=4076","layer":4},{"info":"compute binary expreesion, left_input=7116, right_input=4076, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6115, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":1},{"info":"number node, value=1318","layer":4},{"info":"number node, value=5747","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=5747, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=2949","layer":4},{"info":"number node, value=8682","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=8682, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=-670, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=694","layer":2},{"info":"compute unary expreesion, input=694, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=2910","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2910, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊤⊝⊺⇮1431⫯⪬∳⊺⇮1073⪄⊺⇮7116≹⇙⪍⊺⇮4076)⩦(⊽((⊺⇮1318⨻⩈⩔⊺⇮5747)⪎↠(⊺⇮2949∛⊺⇮8682)))=NaN","reverse_text":"NaN=(⊤⊝⊺⇮1431⫯⪬∳⊺⇮1073⪄⊺⇮7116≹⇙⪍⊺⇮4076)⩦(⊽((⊺⇮1318⨻⩈⩔⊺⇮5747)⪎↠(⊺⇮2949∛⊺⇮8682)))","cot":[{"info":"⊺⇮1431⫯⪬∳⊺⇮1073=⊺⇮6115","layer":3},{"info":"⊺⇮7116≹⇙⪍⊺⇮4076=NaN","layer":3},{"info":"⊺⇮6115⪄NaN=NaN","layer":2},{"info":"⊤⊝NaN=NaN","layer":1},{"info":"⊺⇮1318⨻⩈⩔⊺⇮5747=⊺⇮-174","layer":3},{"info":"⊺⇮2949∛⊺⇮8682=⊺⇮-670","layer":3},{"info":"⊺⇮-174⪎↠⊺⇮-670=⊺⇮694","layer":2},{"info":"⊽⊺⇮694=⊺⇮2910","layer":1},{"info":"NaN⩦⊺⇮2910=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"((⪝⪂⫅$2572$)⩣⫁∢($3906$⨽$4793$))∳⫺((⊙↵-$1574$)⊫∞)⋳⪒$3528$⪬$1312$∓⋝($1154$∠↢$5341$)⩒⫫($2465$⇉⇱⇎)⨿($6260$⫁⪎$5152$)","expression":"((⪝⪂⫅⊺⇮2572)⩣⫁∢(⊺⇮3906⨽⊺⇮4793))∳⫺((⊙↵-⊺⇮1574)⊫∞)⋳⪒⊺⇮3528⪬⊺⇮1312∓⋝(⊺⇮1154∠↢⊺⇮5341)⩒⫫(⊺⇮2465⇉⇱⇎)⨿(⊺⇮6260⫁⪎⊺⇮5152)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":36745,"operation_count":14,"complexity_ratio":2624.6428571428573,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2572,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3906,"base":10},"right_expr":{"type":"numeric_atoms","value":4793,"base":10}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1574,"base":10}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3528,"base":10},"right_expr":{"type":"numeric_atoms","value":1312,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1154,"base":10},"right_expr":{"type":"numeric_atoms","value":5341,"base":10}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":2465,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6260,"base":10},"right_expr":{"type":"numeric_atoms","value":5152,"base":10}}}}},"used_operators":["12rbrZMWeM","AzXXKTstlj","JDUIKTTSIa","XTarYq4gQB","8HhzD0ZcuI","pABnYW3G3E","oWn0xqSxBt","KFSx94NKJn","PoHhknlbAi","Ez1Nq5fNfI","KbjG8mgYpV","abYXlopdE0","MRPaB8lBjK","xRrnTEsQ6j"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9HNa5Wba9A","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⊺⇮-572","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2572","layer":4},{"info":"compute unary expreesion, input=2572, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-378084","layer":3},{"info":"number node, value=3906","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=3906, right_input=4793, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-45783573","layer":3},{"info":"compute binary expreesion, left_input=-378084, right_input=-45783573, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=1512901","layer":2},{"info":"number node, value=1574","layer":4},{"info":"compute unary expreesion, input=1574, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1512901, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=3528","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=1312, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=5341","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=5341, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-78308","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-78308, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=2465","layer":4},{"info":"compute unary expreesion, input=2465, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-2247","layer":3},{"info":"number node, value=6260","layer":4},{"info":"number node, value=5152","layer":4},{"info":"compute binary expreesion, left_input=6260, right_input=5152, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1108","layer":3},{"info":"compute binary expreesion, left_input=-2247, right_input=1108, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=67, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-235","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-235, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-572","layer":0}],"base":10,"result_base":10,"text":"((⪝⪂⫅⊺⇮2572)⩣⫁∢(⊺⇮3906⨽⊺⇮4793))∳⫺((⊙↵-⊺⇮1574)⊫∞)⋳⪒⊺⇮3528⪬⊺⇮1312∓⋝(⊺⇮1154∠↢⊺⇮5341)⩒⫫(⊺⇮2465⇉⇱⇎)⨿(⊺⇮6260⫁⪎⊺⇮5152)=⊺⇮-572","reverse_text":"⊺⇮-572=((⪝⪂⫅⊺⇮2572)⩣⫁∢(⊺⇮3906⨽⊺⇮4793))∳⫺((⊙↵-⊺⇮1574)⊫∞)⋳⪒⊺⇮3528⪬⊺⇮1312∓⋝(⊺⇮1154∠↢⊺⇮5341)⩒⫫(⊺⇮2465⇉⇱⇎)⨿(⊺⇮6260⫁⪎⊺⇮5152)","cot":[{"info":"⪝⪂⫅⊺⇮2572=⊺⇮-378084","layer":3},{"info":"⊺⇮3906⨽⊺⇮4793=⊺⇮-45783573","layer":3},{"info":"⊺⇮-378084⩣⫁∢⊺⇮-45783573=⊺⇮1512901","layer":2},{"info":"⊙↵-⊺⇮1574=⊺⇮-1","layer":3},{"info":"⊺⇮-1⊫∞=⊺⇮0","layer":2},{"info":"⊺⇮1512901∳⫺⊺⇮0=⊺⇮-260","layer":1},{"info":"⊺⇮3528⪬⊺⇮1312=⊺⇮1234","layer":3},{"info":"⊺⇮1154∠↢⊺⇮5341=⊺⇮-78308","layer":3},{"info":"⊺⇮1234∓⋝⊺⇮-78308=⊺⇮67","layer":2},{"info":"⊺⇮2465⇉⇱⇎=⊺⇮-2247","layer":3},{"info":"⊺⇮6260⫁⪎⊺⇮5152=⊺⇮1108","layer":3},{"info":"⊺⇮-2247⨿⊺⇮1108=⊺⇮67","layer":2},{"info":"⊺⇮67⩒⫫⊺⇮67=⊺⇮-235","layer":1},{"info":"⊺⇮-260⋳⪒⊺⇮-235=⊺⇮-572","layer":0}]}
{"id":397,"expression_no_base_symbol":"(($8280$⩷∴$3231$)≒∊($2110$∝$3792$)⊠≄⫣)⫡⨏(($5023$⨭⪣$1460$)≧⫂∧(⪲⇎$1082$))⩼⇪↪($8825$⇻⋧≁$2230$⊲⩕⊾($2693$⪕$2368$))","expression":"((⊺⇮8280⩷∴⊺⇮3231)≒∊(⊺⇮2110∝⊺⇮3792)⊠≄⫣)⫡⨏((⊺⇮5023⨭⪣⊺⇮1460)≧⫂∧(⪲⇎⊺⇮1082))⩼⇪↪(⊺⇮8825⇻⋧≁⊺⇮2230⊲⩕⊾(⊺⇮2693⪕⊺⇮2368))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8972,"operation_count":12,"complexity_ratio":747.6666666666666,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8280,"base":10},"right_expr":{"type":"numeric_atoms","value":3231,"base":10}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2110,"base":10},"right_expr":{"type":"numeric_atoms","value":3792,"base":10}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5023,"base":10},"right_expr":{"type":"numeric_atoms","value":1460,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1082,"base":10}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":8825,"base":10},"right_expr":{"type":"numeric_atoms","value":2230,"base":10}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2693,"base":10},"right_expr":{"type":"numeric_atoms","value":2368,"base":10}}}}},"used_operators":["QMFrweE19q","DIvbN7qnHd","5KTvxBwnZo","9FxExcQeMw","cTDWOvIxvz","ocnLzx9CaJ","Ph9nP6C5qx","kn8WO9XteQ","XPYlsWDdGa","DmTXOeWf9t","jCPkEVoL5K","umQnsF7QlU"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⊺⇮-16167","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8280","layer":4},{"info":"number node, value=3231","layer":4},{"info":"compute binary expreesion, left_input=8280, right_input=3231, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10066","layer":3},{"info":"number node, value=2110","layer":4},{"info":"number node, value=3792","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=3792, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2115","layer":3},{"info":"compute binary expreesion, left_input=10066, right_input=2115, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-9582","layer":2},{"info":"compute unary expreesion, input=-9582, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=5023","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=5023, right_input=1460, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3744","layer":3},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2164","layer":3},{"info":"compute binary expreesion, left_input=3744, right_input=2164, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1691","layer":2},{"info":"number node, value=8825","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=8825, right_input=2230, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2693","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=2368, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3919","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=3919, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=1582","layer":2},{"info":"compute binary expreesion, left_input=1691, right_input=1582, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-8475","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-8475, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-16167","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮8280⩷∴⊺⇮3231)≒∊(⊺⇮2110∝⊺⇮3792)⊠≄⫣)⫡⨏((⊺⇮5023⨭⪣⊺⇮1460)≧⫂∧(⪲⇎⊺⇮1082))⩼⇪↪(⊺⇮8825⇻⋧≁⊺⇮2230⊲⩕⊾(⊺⇮2693⪕⊺⇮2368))=⊺⇮-16167","reverse_text":"⊺⇮-16167=((⊺⇮8280⩷∴⊺⇮3231)≒∊(⊺⇮2110∝⊺⇮3792)⊠≄⫣)⫡⨏((⊺⇮5023⨭⪣⊺⇮1460)≧⫂∧(⪲⇎⊺⇮1082))⩼⇪↪(⊺⇮8825⇻⋧≁⊺⇮2230⊲⩕⊾(⊺⇮2693⪕⊺⇮2368))","cot":[{"info":"⊺⇮8280⩷∴⊺⇮3231=⊺⇮10066","layer":3},{"info":"⊺⇮2110∝⊺⇮3792=⊺⇮2115","layer":3},{"info":"⊺⇮10066≒∊⊺⇮2115=⊺⇮-9582","layer":2},{"info":"⊺⇮-9582⊠≄⫣=⊺⇮0","layer":1},{"info":"⊺⇮5023⨭⪣⊺⇮1460=⊺⇮3744","layer":3},{"info":"⪲⇎⊺⇮1082=⊺⇮2164","layer":3},{"info":"⊺⇮3744≧⫂∧⊺⇮2164=⊺⇮1691","layer":2},{"info":"⊺⇮8825⇻⋧≁⊺⇮2230=⊺⇮-447","layer":3},{"info":"⊺⇮2693⪕⊺⇮2368=⊺⇮3919","layer":3},{"info":"⊺⇮-447⊲⩕⊾⊺⇮3919=⊺⇮1582","layer":2},{"info":"⊺⇮1691⩼⇪↪⊺⇮1582=⊺⇮-8475","layer":1},{"info":"⊺⇮0⫡⨏⊺⇮-8475=⊺⇮-16167","layer":0}]}
{"id":398,"expression_no_base_symbol":"((⊙↵-$1150$)⫿)⇮⋭$5831$≄⊠$1159$≳⇉$2177$⨐$1140$⨑≵⋬(($1172$↹⊜$1041$)≁↽≥($1659$⇣⩺⋵$2625$)⨑≵⋬(⩩$3606$)↳≱($1061$⪡$1547$))","expression":"((⊙↵-⊺⇮1150)⫿)⇮⋭⊺⇮5831≄⊠⊺⇮1159≳⇉⊺⇮2177⨐⊺⇮1140⨑≵⋬((⊺⇮1172↹⊜⊺⇮1041)≁↽≥(⊺⇮1659⇣⩺⋵⊺⇮2625)⨑≵⋬(⩩⊺⇮3606)↳≱(⊺⇮1061⪡⊺⇮1547))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":195293974,"operation_count":14,"complexity_ratio":13949569.57142857,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1150,"base":10}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5831,"base":10},"right_expr":{"type":"numeric_atoms","value":1159,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2177,"base":10},"right_expr":{"type":"numeric_atoms","value":1140,"base":10}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1172,"base":10},"right_expr":{"type":"numeric_atoms","value":1041,"base":10}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1659,"base":10},"right_expr":{"type":"numeric_atoms","value":2625,"base":10}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":3606,"base":10}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1061,"base":10},"right_expr":{"type":"numeric_atoms","value":1547,"base":10}}}}},"used_operators":["XnXgA4xnOs","vkpjKywKVM","9tKT6PmtkH","oWn0xqSxBt","V0kx6qeWkN","vXNesLlMH1","Noe24qw2ks","ncHt1X6cMc","9bazX3JMtO","F4yD0voBRQ","JwTKLfZU96","kMhfGuqI2H","oraRL2iQuh"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⊺⇮-15163","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1150","layer":4},{"info":"compute unary expreesion, input=1150, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2","layer":2},{"info":"number node, value=5831","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=5831, right_input=1159, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=23212","layer":3},{"info":"number node, value=2177","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=1140, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4354","layer":3},{"info":"compute binary expreesion, left_input=23212, right_input=-4354, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=1172","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=1041, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1916","layer":3},{"info":"number node, value=1659","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=2625, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-1916, right_input=-260, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"number node, value=3606","layer":4},{"info":"compute unary expreesion, input=3606, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1547, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=107, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=2411","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=2411, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-15163","layer":0}],"base":10,"result_base":10,"text":"((⊙↵-⊺⇮1150)⫿)⇮⋭⊺⇮5831≄⊠⊺⇮1159≳⇉⊺⇮2177⨐⊺⇮1140⨑≵⋬((⊺⇮1172↹⊜⊺⇮1041)≁↽≥(⊺⇮1659⇣⩺⋵⊺⇮2625)⨑≵⋬(⩩⊺⇮3606)↳≱(⊺⇮1061⪡⊺⇮1547))=⊺⇮-15163","reverse_text":"⊺⇮-15163=((⊙↵-⊺⇮1150)⫿)⇮⋭⊺⇮5831≄⊠⊺⇮1159≳⇉⊺⇮2177⨐⊺⇮1140⨑≵⋬((⊺⇮1172↹⊜⊺⇮1041)≁↽≥(⊺⇮1659⇣⩺⋵⊺⇮2625)⨑≵⋬(⩩⊺⇮3606)↳≱(⊺⇮1061⪡⊺⇮1547))","cot":[{"info":"⊙↵-⊺⇮1150=⊺⇮-1","layer":3},{"info":"⊺⇮-1⫿=⊺⇮2","layer":2},{"info":"⊺⇮5831≄⊠⊺⇮1159=⊺⇮23212","layer":3},{"info":"⊺⇮2177⨐⊺⇮1140=⊺⇮-4354","layer":3},{"info":"⊺⇮23212≳⇉⊺⇮-4354=NaN","layer":2},{"info":"⊺⇮2⇮⋭NaN=⊺⇮67","layer":1},{"info":"⊺⇮1172↹⊜⊺⇮1041=⊺⇮-1916","layer":3},{"info":"⊺⇮1659⇣⩺⋵⊺⇮2625=⊺⇮-260","layer":3},{"info":"⊺⇮-1916≁↽≥⊺⇮-260=⊺⇮0","layer":2},{"info":"⩩⊺⇮3606=NaN","layer":3},{"info":"⊺⇮1061⪡⊺⇮1547=⊺⇮107","layer":3},{"info":"NaN↳≱⊺⇮107=⊺⇮0","layer":2},{"info":"⊺⇮0⨑≵⋬⊺⇮0=⊺⇮2411","layer":1},{"info":"⊺⇮67⨑≵⋬⊺⇮2411=⊺⇮-15163","layer":0}]}
{"id":399,"expression_no_base_symbol":"(⋎⨆($5414$⫢⨠$3032$)⪟⇏($2240$⨜⨶$2955$))⪬($6071$⊭↱$3497$⪁($1611$⇽⩪)↰)","expression":"(⋎⨆(⊺⇮5414⫢⨠⊺⇮3032)⪟⇏(⊺⇮2240⨜⨶⊺⇮2955))⪬(⊺⇮6071⊭↱⊺⇮3497⪁(⊺⇮1611⇽⩪)↰)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":317032997,"operation_count":9,"complexity_ratio":35225888.55555555,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5414,"base":10},"right_expr":{"type":"numeric_atoms","value":3032,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2240,"base":10},"right_expr":{"type":"numeric_atoms","value":2955,"base":10}}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6071,"base":10},"right_expr":{"type":"numeric_atoms","value":3497,"base":10}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1611,"base":10}}}}},"used_operators":["Ez1Nq5fNfI","E64sFOc4tB","GODebY97qR","xlXykHWxX1","HiPekx5b7W","bl5wxAcryP","I7sXao9hZE","COABgblf1C","FonBHBYJbU"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","nCS4ZIUYfx","Z2TMIBDE3Q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5414","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=5414, right_input=3032, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2240","layer":4},{"info":"number node, value=2955","layer":4},{"info":"compute binary expreesion, left_input=2240, right_input=2955, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5654","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5654, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"number node, value=6071","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=6071, right_input=3497, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5143","layer":3},{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3744","layer":3},{"info":"compute binary expreesion, left_input=-5143, right_input=3744, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":10,"result_base":10,"text":"(⋎⨆(⊺⇮5414⫢⨠⊺⇮3032)⪟⇏(⊺⇮2240⨜⨶⊺⇮2955))⪬(⊺⇮6071⊭↱⊺⇮3497⪁(⊺⇮1611⇽⩪)↰)=⊺⇮1234","reverse_text":"⊺⇮1234=(⋎⨆(⊺⇮5414⫢⨠⊺⇮3032)⪟⇏(⊺⇮2240⨜⨶⊺⇮2955))⪬(⊺⇮6071⊭↱⊺⇮3497⪁(⊺⇮1611⇽⩪)↰)","cot":[{"info":"⊺⇮5414⫢⨠⊺⇮3032=⊺⇮160","layer":3},{"info":"⊺⇮2240⨜⨶⊺⇮2955=⊺⇮-5654","layer":3},{"info":"⊺⇮160⪟⇏⊺⇮-5654=⊺⇮0","layer":2},{"info":"⋎⨆⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮6071⊭↱⊺⇮3497=⊺⇮-5143","layer":3},{"info":"⊺⇮1611⇽⩪=⊺⇮3744","layer":3},{"info":"⊺⇮-5143⪁⊺⇮3744=NaN","layer":2},{"info":"NaN↰=NaN","layer":1},{"info":"⊺⇮0⪬NaN=⊺⇮1234","layer":0}]}
{"id":400,"expression_no_base_symbol":"(∑⇻≧($1093$⪘⨀)⫗⊷⫓($1314$⪃↞⩐))≁(⇠($3389$≳⇉$7109$⫲≸⪮($7068$⨽⪊≇)))","expression":"(∑⇻≧(⊺⇮1093⪘⨀)⫗⊷⫓(⊺⇮1314⪃↞⩐))≁(⇠(⊺⇮3389≳⇉⊺⇮7109⫲≸⪮(⊺⇮7068⨽⪊≇)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":102643,"operation_count":9,"complexity_ratio":11404.777777777777,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1093,"base":10}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1314,"base":10}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3389,"base":10},"right_expr":{"type":"numeric_atoms","value":7109,"base":10}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":7068,"base":10}}}}},"used_operators":["8N2wDY1A35","l1M9WJ3V7u","zashukvMKz","aA7tF3KVD3","grXIztHqDa","18saOjeKKm","P3lXMJvFrc","V0kx6qeWkN","nlCqmYiOvY"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-2767","layer":3},{"info":"number node, value=1314","layer":4},{"info":"compute unary expreesion, input=1314, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=8190","layer":3},{"info":"compute binary expreesion, left_input=-2767, right_input=8190, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=3389","layer":4},{"info":"number node, value=7109","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=7109, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=7068","layer":4},{"info":"compute unary expreesion, input=7068, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=13610","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13610, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∑⇻≧(⊺⇮1093⪘⨀)⫗⊷⫓(⊺⇮1314⪃↞⩐))≁(⇠(⊺⇮3389≳⇉⊺⇮7109⫲≸⪮(⊺⇮7068⨽⪊≇)))=NaN","reverse_text":"NaN=(∑⇻≧(⊺⇮1093⪘⨀)⫗⊷⫓(⊺⇮1314⪃↞⩐))≁(⇠(⊺⇮3389≳⇉⊺⇮7109⫲≸⪮(⊺⇮7068⨽⪊≇)))","cot":[{"info":"⊺⇮1093⪘⨀=⊺⇮-2767","layer":3},{"info":"⊺⇮1314⪃↞⩐=⊺⇮8190","layer":3},{"info":"⊺⇮-2767⫗⊷⫓⊺⇮8190=⊺⇮-134","layer":2},{"info":"∑⇻≧⊺⇮-134=⊺⇮-852","layer":1},{"info":"⊺⇮3389≳⇉⊺⇮7109=NaN","layer":3},{"info":"⊺⇮7068⨽⪊≇=⊺⇮13610","layer":3},{"info":"NaN⫲≸⪮⊺⇮13610=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"⊺⇮-852≁NaN=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"⩰($1508$⊾⪯⋞$1130$⪁$5690$⇡⇂$1523$)⨚⇆(≸≮$3290$)⪥$1131$⫯⪬∳$3049$","expression":"⩰(⊺⇮1508⊾⪯⋞⊺⇮1130⪁⊺⇮5690⇡⇂⊺⇮1523)⨚⇆(≸≮⊺⇮3290)⪥⊺⇮1131⫯⪬∳⊺⇮3049","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19372,"operation_count":8,"complexity_ratio":2421.5,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1508,"base":10},"right_expr":{"type":"numeric_atoms","value":1130,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5690,"base":10},"right_expr":{"type":"numeric_atoms","value":1523,"base":10}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3290,"base":10}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1131,"base":10},"right_expr":{"type":"numeric_atoms","value":3049,"base":10}}}}},"used_operators":["WkeUrDK8WX","lwHaAYXP2r","I7sXao9hZE","HK0tfVPux8","UMwdvZNt44","QbnwKVWMIQ","AljMvE3RRm","d7ASUq0ydm"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=1130, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1834","layer":3},{"info":"number node, value=5690","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=5690, right_input=1523, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1834, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=3290","layer":4},{"info":"compute unary expreesion, input=3290, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=1131","layer":4},{"info":"number node, value=3049","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=3049, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2639","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2639, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⩰(⊺⇮1508⊾⪯⋞⊺⇮1130⪁⊺⇮5690⇡⇂⊺⇮1523)⨚⇆(≸≮⊺⇮3290)⪥⊺⇮1131⫯⪬∳⊺⇮3049=NaN","reverse_text":"NaN=⩰(⊺⇮1508⊾⪯⋞⊺⇮1130⪁⊺⇮5690⇡⇂⊺⇮1523)⨚⇆(≸≮⊺⇮3290)⪥⊺⇮1131⫯⪬∳⊺⇮3049","cot":[{"info":"⊺⇮1508⊾⪯⋞⊺⇮1130=⊺⇮1834","layer":3},{"info":"⊺⇮5690⇡⇂⊺⇮1523=NaN","layer":3},{"info":"⊺⇮1834⪁NaN=NaN","layer":2},{"info":"≸≮⊺⇮3290=NaN","layer":3},{"info":"⊺⇮1131⫯⪬∳⊺⇮3049=⊺⇮2639","layer":3},{"info":"NaN⪥⊺⇮2639=NaN","layer":2},{"info":"NaN⨚⇆NaN=NaN","layer":1},{"info":"⩰NaN=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"(($4030$↹⊜$6133$)⩣⫁∢($1060$∛$1194$)⩁⩘(∂⩏⊆(∂⩏⊆$5921$)))⪎↠($9031$⪭$6114$⫲)⪎↠($1041$⨥⫆$8623$→⨶⪴($1532$⩅⪻⪻))","expression":"((⊺⇮4030↹⊜⊺⇮6133)⩣⫁∢(⊺⇮1060∛⊺⇮1194)⩁⩘(∂⩏⊆(∂⩏⊆⊺⇮5921)))⪎↠(⊺⇮9031⪭⊺⇮6114⫲)⪎↠(⊺⇮1041⨥⫆⊺⇮8623→⨶⪴(⊺⇮1532⩅⪻⪻))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":331,"operation_count":13,"complexity_ratio":25.46153846153846,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4030,"base":10},"right_expr":{"type":"numeric_atoms","value":6133,"base":10}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1060,"base":10},"right_expr":{"type":"numeric_atoms","value":1194,"base":10}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":5921,"base":10}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":9031,"base":10},"right_expr":{"type":"numeric_atoms","value":6114,"base":10}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1041,"base":10},"right_expr":{"type":"numeric_atoms","value":8623,"base":10}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1532,"base":10}}}}},"used_operators":["3tVxb0NHM4","gub5Cegaqo","JDUIKTTSIa","9bazX3JMtO","w2537kitQq","8WDwsbhb0R","9xnGDUPbC6","j9kHMeSvPp","bF6eod5Gvf","yXekIHxTD4","kHoXpA7yos"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","IWmyXbctLI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","14qkJME0vr","eLAdDNolq6","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","COABgblf1C","xUOZtlo3hN","8w2t5hMYqp","9FxExcQeMw","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4030","layer":4},{"info":"number node, value=6133","layer":4},{"info":"compute binary expreesion, left_input=4030, right_input=6133, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-16568","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=1194, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-16568, right_input=67, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=66837","layer":2},{"info":"number node, value=5921","layer":4},{"info":"compute unary expreesion, input=5921, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-17842","layer":3},{"info":"compute unary expreesion, input=-17842, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=18326","layer":2},{"info":"compute binary expreesion, left_input=66837, right_input=18326, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=74252","layer":1},{"info":"number node, value=9031","layer":4},{"info":"number node, value=6114","layer":4},{"info":"compute binary expreesion, left_input=9031, right_input=6114, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-779","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=8623","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=8623, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=17122","layer":3},{"info":"number node, value=1532","layer":4},{"info":"compute unary expreesion, input=1532, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-226161","layer":3},{"info":"compute binary expreesion, left_input=17122, right_input=-226161, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=486534","layer":2},{"info":"compute binary expreesion, left_input=-779, right_input=486534, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=74252, right_input=-55, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4030↹⊜⊺⇮6133)⩣⫁∢(⊺⇮1060∛⊺⇮1194)⩁⩘(∂⩏⊆(∂⩏⊆⊺⇮5921)))⪎↠(⊺⇮9031⪭⊺⇮6114⫲)⪎↠(⊺⇮1041⨥⫆⊺⇮8623→⨶⪴(⊺⇮1532⩅⪻⪻))=⊺⇮160","reverse_text":"⊺⇮160=((⊺⇮4030↹⊜⊺⇮6133)⩣⫁∢(⊺⇮1060∛⊺⇮1194)⩁⩘(∂⩏⊆(∂⩏⊆⊺⇮5921)))⪎↠(⊺⇮9031⪭⊺⇮6114⫲)⪎↠(⊺⇮1041⨥⫆⊺⇮8623→⨶⪴(⊺⇮1532⩅⪻⪻))","cot":[{"info":"⊺⇮4030↹⊜⊺⇮6133=⊺⇮-16568","layer":3},{"info":"⊺⇮1060∛⊺⇮1194=⊺⇮67","layer":3},{"info":"⊺⇮-16568⩣⫁∢⊺⇮67=⊺⇮66837","layer":2},{"info":"∂⩏⊆⊺⇮5921=⊺⇮-17842","layer":3},{"info":"∂⩏⊆⊺⇮-17842=⊺⇮18326","layer":2},{"info":"⊺⇮66837⩁⩘⊺⇮18326=⊺⇮74252","layer":1},{"info":"⊺⇮9031⪭⊺⇮6114=⊺⇮5","layer":3},{"info":"⊺⇮5⫲=⊺⇮-779","layer":2},{"info":"⊺⇮1041⨥⫆⊺⇮8623=⊺⇮17122","layer":3},{"info":"⊺⇮1532⩅⪻⪻=⊺⇮-226161","layer":3},{"info":"⊺⇮17122→⨶⪴⊺⇮-226161=⊺⇮486534","layer":2},{"info":"⊺⇮-779⪎↠⊺⇮486534=⊺⇮-55","layer":1},{"info":"⊺⇮74252⪎↠⊺⇮-55=⊺⇮160","layer":0}]}
{"id":403,"expression_no_base_symbol":"($2338$⨐⩸⫘$3048$⫚↹⊑$2510$⨻⩈⩔$6246$)∥⊢⊲($3775$⊫∞)⇻⋧≁($1346$⊬⨰$1272$)≧⫂∧($1608$∊∟⩊$1096$⨼⩣$1148$⊉↱≁$7482$)∋(⇾⩊⇾($3964$⨚$3604$))","expression":"(⊺⇮2338⨐⩸⫘⊺⇮3048⫚↹⊑⊺⇮2510⨻⩈⩔⊺⇮6246)∥⊢⊲(⊺⇮3775⊫∞)⇻⋧≁(⊺⇮1346⊬⨰⊺⇮1272)≧⫂∧(⊺⇮1608∊∟⩊⊺⇮1096⨼⩣⊺⇮1148⊉↱≁⊺⇮7482)∋(⇾⩊⇾(⊺⇮3964⨚⊺⇮3604))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":129668,"operation_count":14,"complexity_ratio":9262.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2338,"base":10},"right_expr":{"type":"numeric_atoms","value":3048,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2510,"base":10},"right_expr":{"type":"numeric_atoms","value":6246,"base":10}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":3775,"base":10}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1346,"base":10},"right_expr":{"type":"numeric_atoms","value":1272,"base":10}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1608,"base":10},"right_expr":{"type":"numeric_atoms","value":1096,"base":10}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1148,"base":10},"right_expr":{"type":"numeric_atoms","value":7482,"base":10}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3964,"base":10},"right_expr":{"type":"numeric_atoms","value":3604,"base":10}}}}},"used_operators":["Ph9nP6C5qx","v1UQAVDJRr","dfKe02y8D2","fu6greOZ01","nEsXyWgiOK","jCPkEVoL5K","pABnYW3G3E","s3Fd5m9Dh2","ukq6epAj5P","JxwMv5le6e","ddLRYrp01A","w2P8NbNXyL","bx9Z9DAK5y","nREPSIbpBE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","3ViojmjbAp","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2338","layer":4},{"info":"number node, value=3048","layer":4},{"info":"compute binary expreesion, left_input=2338, right_input=3048, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2510","layer":4},{"info":"number node, value=6246","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=6246, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=11679","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11679, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=3775","layer":4},{"info":"compute unary expreesion, input=3775, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=1272, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5378","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5378, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-447, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"number node, value=1608","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=1096, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=27","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=7482","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=7482, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-34526","layer":3},{"info":"compute binary expreesion, left_input=27, right_input=-34526, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=3964","layer":4},{"info":"number node, value=3604","layer":4},{"info":"compute binary expreesion, left_input=3964, right_input=3604, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-5554","layer":3},{"info":"compute unary expreesion, input=-5554, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=43500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=43500, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2338⨐⩸⫘⊺⇮3048⫚↹⊑⊺⇮2510⨻⩈⩔⊺⇮6246)∥⊢⊲(⊺⇮3775⊫∞)⇻⋧≁(⊺⇮1346⊬⨰⊺⇮1272)≧⫂∧(⊺⇮1608∊∟⩊⊺⇮1096⨼⩣⊺⇮1148⊉↱≁⊺⇮7482)∋(⇾⩊⇾(⊺⇮3964⨚⊺⇮3604))=NaN","reverse_text":"NaN=(⊺⇮2338⨐⩸⫘⊺⇮3048⫚↹⊑⊺⇮2510⨻⩈⩔⊺⇮6246)∥⊢⊲(⊺⇮3775⊫∞)⇻⋧≁(⊺⇮1346⊬⨰⊺⇮1272)≧⫂∧(⊺⇮1608∊∟⩊⊺⇮1096⨼⩣⊺⇮1148⊉↱≁⊺⇮7482)∋(⇾⩊⇾(⊺⇮3964⨚⊺⇮3604))","cot":[{"info":"⊺⇮2338⨐⩸⫘⊺⇮3048=NaN","layer":3},{"info":"⊺⇮2510⨻⩈⩔⊺⇮6246=⊺⇮11679","layer":3},{"info":"NaN⫚↹⊑⊺⇮11679=⊺⇮-447","layer":2},{"info":"⊺⇮3775⊫∞=⊺⇮0","layer":3},{"info":"⊺⇮1346⊬⨰⊺⇮1272=⊺⇮5378","layer":3},{"info":"⊺⇮0⇻⋧≁⊺⇮5378=⊺⇮-447","layer":2},{"info":"⊺⇮-447∥⊢⊲⊺⇮-447=⊺⇮0","layer":1},{"info":"⊺⇮1608∊∟⩊⊺⇮1096=⊺⇮27","layer":3},{"info":"⊺⇮1148⊉↱≁⊺⇮7482=⊺⇮-34526","layer":3},{"info":"⊺⇮27⨼⩣⊺⇮-34526=NaN","layer":2},{"info":"⊺⇮3964⨚⊺⇮3604=⊺⇮-5554","layer":3},{"info":"⇾⩊⇾⊺⇮-5554=⊺⇮43500","layer":2},{"info":"NaN∋⊺⇮43500=NaN","layer":1},{"info":"⊺⇮0≧⫂∧NaN=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"($1111$⩣⫁∢$2565$)↤⩊($1894$/$3778$)⩼⇪↪(→⩰$1875$)⨸$4842$⇻⋧≁$1663$⇽⩪","expression":"(⊺⇮1111⩣⫁∢⊺⇮2565)↤⩊(⊺⇮1894/⊺⇮3778)⩼⇪↪(→⩰⊺⇮1875)⨸⊺⇮4842⇻⋧≁⊺⇮1663⇽⩪","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7467,"operation_count":8,"complexity_ratio":933.375,"tree":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1111,"base":10},"right_expr":{"type":"numeric_atoms","value":2565,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1894,"base":10},"right_expr":{"type":"numeric_atoms","value":3778,"base":10}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1875,"base":10}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4842,"base":10},"right_expr":{"type":"numeric_atoms","value":1663,"base":10}}}}},"used_operators":["FonBHBYJbU","ocnLzx9CaJ","13rbtpv6ld","JDUIKTTSIa","XhwjNDsVaA","KmoU8R5UQR","o8Pngz0Tml","jCPkEVoL5K"],"dependent_operators":["W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=2565, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2061","layer":3},{"info":"number node, value=1894","layer":4},{"info":"number node, value=3778","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=3778, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2061, right_input=0, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1875","layer":4},{"info":"compute unary expreesion, input=1875, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=4842","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=4842, right_input=1663, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1111⩣⫁∢⊺⇮2565)↤⩊(⊺⇮1894/⊺⇮3778)⩼⇪↪(→⩰⊺⇮1875)⨸⊺⇮4842⇻⋧≁⊺⇮1663⇽⩪=NaN","reverse_text":"NaN=(⊺⇮1111⩣⫁∢⊺⇮2565)↤⩊(⊺⇮1894/⊺⇮3778)⩼⇪↪(→⩰⊺⇮1875)⨸⊺⇮4842⇻⋧≁⊺⇮1663⇽⩪","cot":[{"info":"⊺⇮1111⩣⫁∢⊺⇮2565=⊺⇮-2061","layer":3},{"info":"⊺⇮1894/⊺⇮3778=⊺⇮0","layer":3},{"info":"⊺⇮-2061↤⩊⊺⇮0=NaN","layer":2},{"info":"→⩰⊺⇮1875=NaN","layer":3},{"info":"⊺⇮4842⇻⋧≁⊺⇮1663=⊺⇮-447","layer":3},{"info":"NaN⨸⊺⇮-447=NaN","layer":2},{"info":"NaN⩼⇪↪NaN=NaN","layer":1},{"info":"NaN⇽⩪=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"(⨣⨃⇪($1907$⪄$1106$)≴⪞⇿(⨰⫟⨤$6040$))⫞⩸⩒(($1941$⪶≀⋏$7729$⫌⩉⩟$5214$→⨶⪴$1040$)∷)","expression":"(⨣⨃⇪(⊺⇮1907⪄⊺⇮1106)≴⪞⇿(⨰⫟⨤⊺⇮6040))⫞⩸⩒((⊺⇮1941⪶≀⋏⊺⇮7729⫌⩉⩟⊺⇮5214→⨶⪴⊺⇮1040)∷)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49015,"operation_count":9,"complexity_ratio":5446.111111111111,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1907,"base":10},"right_expr":{"type":"numeric_atoms","value":1106,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6040,"base":10}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1941,"base":10},"right_expr":{"type":"numeric_atoms","value":7729,"base":10}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5214,"base":10},"right_expr":{"type":"numeric_atoms","value":1040,"base":10}}}}},"used_operators":["XGcMNugi78","AcOhelriW5","lvlrscuwVU","SUmda5xLS4","Tw270M8GLb","nFAOW8KTqp","XIIwhv8d0m","zR4jO40bMj","bF6eod5Gvf"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","8w2t5hMYqp","9FxExcQeMw"],"result":"⊺⇮1405","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1907","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=1106, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-282749","layer":3},{"info":"number node, value=6040","layer":4},{"info":"compute unary expreesion, input=6040, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-282749, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-3397488","layer":2},{"info":"compute unary expreesion, input=-3397488, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=1941","layer":4},{"info":"number node, value=7729","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=7729, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21513","layer":3},{"info":"number node, value=5214","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=5214, right_input=1040, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3120","layer":3},{"info":"compute binary expreesion, left_input=-21513, right_input=-3120, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-150","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=-150, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1405","layer":0}],"base":10,"result_base":10,"text":"(⨣⨃⇪(⊺⇮1907⪄⊺⇮1106)≴⪞⇿(⨰⫟⨤⊺⇮6040))⫞⩸⩒((⊺⇮1941⪶≀⋏⊺⇮7729⫌⩉⩟⊺⇮5214→⨶⪴⊺⇮1040)∷)=⊺⇮1405","reverse_text":"⊺⇮1405=(⨣⨃⇪(⊺⇮1907⪄⊺⇮1106)≴⪞⇿(⨰⫟⨤⊺⇮6040))⫞⩸⩒((⊺⇮1941⪶≀⋏⊺⇮7729⫌⩉⩟⊺⇮5214→⨶⪴⊺⇮1040)∷)","cot":[{"info":"⊺⇮1907⪄⊺⇮1106=⊺⇮-282749","layer":3},{"info":"⨰⫟⨤⊺⇮6040=NaN","layer":3},{"info":"⊺⇮-282749≴⪞⇿NaN=⊺⇮-3397488","layer":2},{"info":"⨣⨃⇪⊺⇮-3397488=⊺⇮1405","layer":1},{"info":"⊺⇮1941⪶≀⋏⊺⇮7729=⊺⇮-21513","layer":3},{"info":"⊺⇮5214→⨶⪴⊺⇮1040=⊺⇮-3120","layer":3},{"info":"⊺⇮-21513⫌⩉⩟⊺⇮-3120=⊺⇮-50","layer":2},{"info":"⊺⇮-50∷=⊺⇮-150","layer":1},{"info":"⊺⇮1405⫞⩸⩒⊺⇮-150=⊺⇮1405","layer":0}]}
{"id":406,"expression_no_base_symbol":"(⪝⪂⫅$2110$⫣⪄⊒$4699$≄⊠($3351$⪬∳))⨎(⪓⩚($3202$⨔≚≋$1194$)∌($4035$∑⇟⊟$4246$))","expression":"(⪝⪂⫅⊺⇮2110⫣⪄⊒⊺⇮4699≄⊠(⊺⇮3351⪬∳))⨎(⪓⩚(⊺⇮3202⨔≚≋⊺⇮1194)∌(⊺⇮4035∑⇟⊟⊺⇮4246))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13877,"operation_count":9,"complexity_ratio":1541.888888888889,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2110,"base":10},"right_expr":{"type":"numeric_atoms","value":4699,"base":10}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":3351,"base":10}}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3202,"base":10},"right_expr":{"type":"numeric_atoms","value":1194,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4035,"base":10},"right_expr":{"type":"numeric_atoms","value":4246,"base":10}}}}},"used_operators":["rJVOvQCfKK","XTarYq4gQB","vXNesLlMH1","RabNbG55vr","O9U3z1385E","u0R0Locfp2","8cLx32lpNA","Z57zeUYC9z","U7g4x0WXJJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","8w2t5hMYqp","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⊺⇮426","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2110","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=4699, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-24486","layer":3},{"info":"number node, value=3351","layer":4},{"info":"compute unary expreesion, input=3351, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=-24486, right_input=-709, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute unary expreesion, input=1500, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-220500","layer":1},{"info":"number node, value=3202","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=1194, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=4035","layer":4},{"info":"number node, value=4246","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=4246, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute binary expreesion, left_input=-220500, right_input=426, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=426","layer":0}],"base":10,"result_base":10,"text":"(⪝⪂⫅⊺⇮2110⫣⪄⊒⊺⇮4699≄⊠(⊺⇮3351⪬∳))⨎(⪓⩚(⊺⇮3202⨔≚≋⊺⇮1194)∌(⊺⇮4035∑⇟⊟⊺⇮4246))=⊺⇮426","reverse_text":"⊺⇮426=(⪝⪂⫅⊺⇮2110⫣⪄⊒⊺⇮4699≄⊠(⊺⇮3351⪬∳))⨎(⪓⩚(⊺⇮3202⨔≚≋⊺⇮1194)∌(⊺⇮4035∑⇟⊟⊺⇮4246))","cot":[{"info":"⊺⇮2110⫣⪄⊒⊺⇮4699=⊺⇮-24486","layer":3},{"info":"⊺⇮3351⪬∳=⊺⇮-709","layer":3},{"info":"⊺⇮-24486≄⊠⊺⇮-709=⊺⇮1500","layer":2},{"info":"⪝⪂⫅⊺⇮1500=⊺⇮-220500","layer":1},{"info":"⊺⇮3202⨔≚≋⊺⇮1194=⊺⇮9872","layer":3},{"info":"⊺⇮4035∑⇟⊟⊺⇮4246=NaN","layer":3},{"info":"⊺⇮9872∌NaN=NaN","layer":2},{"info":"⪓⩚NaN=⊺⇮426","layer":1},{"info":"⊺⇮-220500⨎⊺⇮426=⊺⇮426","layer":0}]}
{"id":407,"expression_no_base_symbol":"(($1274$∙∹∝$2637$⇉⇉)⇯⋐)⩧⪆(≉(⨝⨆(≇⪴$3920$)))","expression":"((⊺⇮1274∙∹∝⊺⇮2637⇉⇉)⇯⋐)⩧⪆(≉(⨝⨆(≇⪴⊺⇮3920)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":96,"operation_count":7,"complexity_ratio":13.714285714285714,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1274,"base":10},"right_expr":{"type":"numeric_atoms","value":2637,"base":10}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3920,"base":10}}}}},"used_operators":["Ikt5ks8PT7","LkLIoiE525","diKm42VcIt","HmxsFra2vL","e1ybzncUwg","bQ67fsrMVf","zoVPnxeHJ3"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"⊺⇮10629","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1274","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=2637, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=6652","layer":2},{"info":"compute unary expreesion, input=6652, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=20834","layer":1},{"info":"number node, value=3920","layer":4},{"info":"compute unary expreesion, input=3920, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-10420","layer":3},{"info":"compute unary expreesion, input=-10420, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-10629","layer":2},{"info":"compute unary expreesion, input=-10629, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-10629","layer":1},{"info":"compute binary expreesion, left_input=20834, right_input=-10629, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=10629","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1274∙∹∝⊺⇮2637⇉⇉)⇯⋐)⩧⪆(≉(⨝⨆(≇⪴⊺⇮3920)))=⊺⇮10629","reverse_text":"⊺⇮10629=((⊺⇮1274∙∹∝⊺⇮2637⇉⇉)⇯⋐)⩧⪆(≉(⨝⨆(≇⪴⊺⇮3920)))","cot":[{"info":"⊺⇮1274∙∹∝⊺⇮2637=⊺⇮0","layer":3},{"info":"⊺⇮0⇉⇉=⊺⇮6652","layer":2},{"info":"⊺⇮6652⇯⋐=⊺⇮20834","layer":1},{"info":"≇⪴⊺⇮3920=⊺⇮-10420","layer":3},{"info":"⨝⨆⊺⇮-10420=⊺⇮-10629","layer":2},{"info":"≉⊺⇮-10629=⊺⇮-10629","layer":1},{"info":"⊺⇮20834⩧⪆⊺⇮-10629=⊺⇮10629","layer":0}]}
{"id":408,"expression_no_base_symbol":"(($1075$⋳⪒$4057$)⪨⊡($1621$∁))∴(($1042$⫦⪉$3506$)≒∊(⩏⊷≩$1061$))⋫","expression":"((⊺⇮1075⋳⪒⊺⇮4057)⪨⊡(⊺⇮1621∁))∴((⊺⇮1042⫦⪉⊺⇮3506)≒∊(⩏⊷≩⊺⇮1061))⋫","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1726,"operation_count":8,"complexity_ratio":215.75,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1075,"base":10},"right_expr":{"type":"numeric_atoms","value":4057,"base":10}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1621,"base":10}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1042,"base":10},"right_expr":{"type":"numeric_atoms","value":3506,"base":10}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1061,"base":10}}}}},"used_operators":["JL8yIekQnl","hrf7POJlIJ","kuIXHzHcAH","12rbrZMWeM","jdwGQqwJi5","5KTvxBwnZo","wscyQdcy20","uOZ1tnYMDE"],"dependent_operators":["tmPS8pqC7x","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","23Mk6UjR3U","12rbrZMWeM"],"result":"⊺⇮1648","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"number node, value=4057","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=4057, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2194","layer":3},{"info":"number node, value=1621","layer":4},{"info":"compute unary expreesion, input=1621, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1621","layer":3},{"info":"compute binary expreesion, left_input=-2194, right_input=1621, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=1042","layer":4},{"info":"number node, value=3506","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=3506, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2816","layer":3},{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1821","layer":3},{"info":"compute binary expreesion, left_input=2816, right_input=1821, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2332","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2332, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":1},{"info":"compute unary expreesion, input=1648, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1648","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1075⋳⪒⊺⇮4057)⪨⊡(⊺⇮1621∁))∴((⊺⇮1042⫦⪉⊺⇮3506)≒∊(⩏⊷≩⊺⇮1061))⋫=⊺⇮1648","reverse_text":"⊺⇮1648=((⊺⇮1075⋳⪒⊺⇮4057)⪨⊡(⊺⇮1621∁))∴((⊺⇮1042⫦⪉⊺⇮3506)≒∊(⩏⊷≩⊺⇮1061))⋫","cot":[{"info":"⊺⇮1075⋳⪒⊺⇮4057=⊺⇮-2194","layer":3},{"info":"⊺⇮1621∁=⊺⇮1621","layer":3},{"info":"⊺⇮-2194⪨⊡⊺⇮1621=⊺⇮0","layer":2},{"info":"⊺⇮1042⫦⪉⊺⇮3506=⊺⇮2816","layer":3},{"info":"⩏⊷≩⊺⇮1061=⊺⇮1821","layer":3},{"info":"⊺⇮2816≒∊⊺⇮1821=⊺⇮-2332","layer":2},{"info":"⊺⇮0∴⊺⇮-2332=⊺⇮1648","layer":1},{"info":"⊺⇮1648⋫=⊺⇮1648","layer":0}]}
{"id":409,"expression_no_base_symbol":"($5338$⋹⋡⊁$7291$⇣⩺⋵$4452$⪛$8999$⩵∡$1710$⨚$1204$⨻⩈⩔($4309$⩒⫫$1832$))⩘($2953$⫞⩸⩒$2340$≄⊠($1275$⊨$2030$))↓(⩷($6223$⫠))","expression":"(⊺⇮5338⋹⋡⊁⊺⇮7291⇣⩺⋵⊺⇮4452⪛⊺⇮8999⩵∡⊺⇮1710⨚⊺⇮1204⨻⩈⩔(⊺⇮4309⩒⫫⊺⇮1832))⩘(⊺⇮2953⫞⩸⩒⊺⇮2340≄⊠(⊺⇮1275⊨⊺⇮2030))↓(⩷(⊺⇮6223⫠))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":151464,"operation_count":14,"complexity_ratio":10818.857142857143,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5338,"base":10},"right_expr":{"type":"numeric_atoms","value":7291,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4452,"base":10},"right_expr":{"type":"numeric_atoms","value":8999,"base":10}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1710,"base":10},"right_expr":{"type":"numeric_atoms","value":1204,"base":10}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4309,"base":10},"right_expr":{"type":"numeric_atoms","value":1832,"base":10}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2953,"base":10},"right_expr":{"type":"numeric_atoms","value":2340,"base":10}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1275,"base":10},"right_expr":{"type":"numeric_atoms","value":2030,"base":10}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":6223,"base":10}}}}},"used_operators":["cHh1gJQ2o6","Y7wcNGrDQJ","F4yD0voBRQ","As8RqfVLgs","uFcxV4UQCh","nEsXyWgiOK","nREPSIbpBE","KFSx94NKJn","Af076pWI7l","vXNesLlMH1","XGcMNugi78","vg4gO5BX6G","1h0rLqGiFr","6SnOT2rOjz"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5338","layer":4},{"info":"number node, value=7291","layer":4},{"info":"compute binary expreesion, left_input=5338, right_input=7291, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=8041","layer":3},{"info":"number node, value=4452","layer":4},{"info":"number node, value=8999","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=8999, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4452","layer":3},{"info":"compute binary expreesion, left_input=8041, right_input=4452, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=1710","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=1204, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-462","layer":3},{"info":"number node, value=4309","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=1832, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4007","layer":3},{"info":"compute binary expreesion, left_input=-462, right_input=4007, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-174, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=485","layer":1},{"info":"number node, value=2953","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=2953, right_input=2340, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2340","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=2030, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6131","layer":3},{"info":"compute binary expreesion, left_input=2340, right_input=6131, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=102764","layer":2},{"info":"number node, value=6223","layer":4},{"info":"compute unary expreesion, input=6223, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=102764, right_input=-79, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=485, right_input=-134, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5338⋹⋡⊁⊺⇮7291⇣⩺⋵⊺⇮4452⪛⊺⇮8999⩵∡⊺⇮1710⨚⊺⇮1204⨻⩈⩔(⊺⇮4309⩒⫫⊺⇮1832))⩘(⊺⇮2953⫞⩸⩒⊺⇮2340≄⊠(⊺⇮1275⊨⊺⇮2030))↓(⩷(⊺⇮6223⫠))=⊺⇮160","reverse_text":"⊺⇮160=(⊺⇮5338⋹⋡⊁⊺⇮7291⇣⩺⋵⊺⇮4452⪛⊺⇮8999⩵∡⊺⇮1710⨚⊺⇮1204⨻⩈⩔(⊺⇮4309⩒⫫⊺⇮1832))⩘(⊺⇮2953⫞⩸⩒⊺⇮2340≄⊠(⊺⇮1275⊨⊺⇮2030))↓(⩷(⊺⇮6223⫠))","cot":[{"info":"⊺⇮5338⋹⋡⊁⊺⇮7291=⊺⇮8041","layer":3},{"info":"⊺⇮4452⪛⊺⇮8999=⊺⇮4452","layer":3},{"info":"⊺⇮8041⇣⩺⋵⊺⇮4452=⊺⇮-260","layer":2},{"info":"⊺⇮1710⨚⊺⇮1204=⊺⇮-462","layer":3},{"info":"⊺⇮4309⩒⫫⊺⇮1832=⊺⇮4007","layer":3},{"info":"⊺⇮-462⨻⩈⩔⊺⇮4007=⊺⇮-174","layer":2},{"info":"⊺⇮-260⩵∡⊺⇮-174=⊺⇮485","layer":1},{"info":"⊺⇮2953⫞⩸⩒⊺⇮2340=⊺⇮2340","layer":3},{"info":"⊺⇮1275⊨⊺⇮2030=⊺⇮6131","layer":3},{"info":"⊺⇮2340≄⊠⊺⇮6131=⊺⇮102764","layer":2},{"info":"⊺⇮6223⫠=⊺⇮0","layer":3},{"info":"⩷⊺⇮0=⊺⇮-79","layer":2},{"info":"⊺⇮102764↓⊺⇮-79=⊺⇮-134","layer":1},{"info":"⊺⇮485⩘⊺⇮-134=⊺⇮160","layer":0}]}
{"id":410,"expression_no_base_symbol":"(($1429$⨐$5763$⊉≛↸$1433$≃$1686$)≦≮≮)⇻⋧≁(((⪁⇼$2907$)⪊≅)-(⨰⫟⨤$1404$)⫉⨲⊜$2543$⨥⫆$2180$)","expression":"((⊺⇮1429⨐⊺⇮5763⊉≛↸⊺⇮1433≃⊺⇮1686)≦≮≮)⇻⋧≁(((⪁⇼⊺⇮2907)⪊≅)-(⨰⫟⨤⊺⇮1404)⫉⨲⊜⊺⇮2543⨥⫆⊺⇮2180)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4884,"operation_count":11,"complexity_ratio":444.0,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1429,"base":10},"right_expr":{"type":"numeric_atoms","value":5763,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1433,"base":10},"right_expr":{"type":"numeric_atoms","value":1686,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":2907,"base":10}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1404,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2543,"base":10},"right_expr":{"type":"numeric_atoms","value":2180,"base":10}}}}},"used_operators":["jCPkEVoL5K","D4vGDi5EA2","DZ8iAZOCBD","Noe24qw2ks","YbVcJGFEVW","rysDP5nf3Z","bjFbhXSADs","ZNVVrZ94lY","WhqkvtTD3t","Tw270M8GLb","yXekIHxTD4"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"number node, value=5763","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=5763, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2858","layer":3},{"info":"number node, value=1433","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=1686, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-5772","layer":3},{"info":"compute binary expreesion, left_input=-2858, right_input=-5772, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5772","layer":2},{"info":"compute unary expreesion, input=5772, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-17316","layer":1},{"info":"number node, value=2907","layer":4},{"info":"compute unary expreesion, input=2907, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"number node, value=1404","layer":4},{"info":"compute unary expreesion, input=1404, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2543","layer":4},{"info":"number node, value=2180","layer":4},{"info":"compute binary expreesion, left_input=2543, right_input=2180, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4236","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4236, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-17316, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1429⨐⊺⇮5763⊉≛↸⊺⇮1433≃⊺⇮1686)≦≮≮)⇻⋧≁(((⪁⇼⊺⇮2907)⪊≅)-(⨰⫟⨤⊺⇮1404)⫉⨲⊜⊺⇮2543⨥⫆⊺⇮2180)=NaN","reverse_text":"NaN=((⊺⇮1429⨐⊺⇮5763⊉≛↸⊺⇮1433≃⊺⇮1686)≦≮≮)⇻⋧≁(((⪁⇼⊺⇮2907)⪊≅)-(⨰⫟⨤⊺⇮1404)⫉⨲⊜⊺⇮2543⨥⫆⊺⇮2180)","cot":[{"info":"⊺⇮1429⨐⊺⇮5763=⊺⇮-2858","layer":3},{"info":"⊺⇮1433≃⊺⇮1686=⊺⇮-5772","layer":3},{"info":"⊺⇮-2858⊉≛↸⊺⇮-5772=⊺⇮5772","layer":2},{"info":"⊺⇮5772≦≮≮=⊺⇮-17316","layer":1},{"info":"⪁⇼⊺⇮2907=⊺⇮422","layer":3},{"info":"⊺⇮422⪊≅=⊺⇮0","layer":2},{"info":"⨰⫟⨤⊺⇮1404=NaN","layer":3},{"info":"⊺⇮2543⨥⫆⊺⇮2180=⊺⇮4236","layer":3},{"info":"NaN⫉⨲⊜⊺⇮4236=NaN","layer":2},{"info":"⊺⇮0-NaN=NaN","layer":1},{"info":"⊺⇮-17316⇻⋧≁NaN=NaN","layer":0}]}
{"id":411,"expression_no_base_symbol":"(⨑⩽⪐($7285$↤⩊$2632$%($2570$⫡⨏$1202$)))↙(⋃(⋗⩬⋾$4236$))≃($5189$↸$2388$)⩌⋺(⨈⫕$1452$)","expression":"(⨑⩽⪐(⊺⇮7285↤⩊⊺⇮2632%(⊺⇮2570⫡⨏⊺⇮1202)))↙(⋃(⋗⩬⋾⊺⇮4236))≃(⊺⇮5189↸⊺⇮2388)⩌⋺(⨈⫕⊺⇮1452)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2997,"operation_count":11,"complexity_ratio":272.45454545454544,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":7285,"base":10},"right_expr":{"type":"numeric_atoms","value":2632,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2570,"base":10},"right_expr":{"type":"numeric_atoms","value":1202,"base":10}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4236,"base":10}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5189,"base":10},"right_expr":{"type":"numeric_atoms","value":2388,"base":10}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1452,"base":10}}}}},"used_operators":["yyfyN0ffXY","AF7qkfDlqP","k8jYdgA6NY","13rbtpv6ld","QMFrweE19q","YbVcJGFEVW","3mBM5G4a3l","DpFCA1CohY","g7Hmc5v1ko","1eCjFl0mb9","megm06wKyl"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7285","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=7285, right_input=2632, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2570","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=2570, right_input=1202, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16037","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16037, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"number node, value=4236","layer":4},{"info":"compute unary expreesion, input=4236, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12708","layer":3},{"info":"compute unary expreesion, input=-12708, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-25314","layer":2},{"info":"number node, value=5189","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=5189, right_input=2388, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5189","layer":3},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=5189, right_input=-21, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-5289","layer":2},{"info":"compute binary expreesion, left_input=-25314, right_input=-5289, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=21116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=21116, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐(⊺⇮7285↤⩊⊺⇮2632%(⊺⇮2570⫡⨏⊺⇮1202)))↙(⋃(⋗⩬⋾⊺⇮4236))≃(⊺⇮5189↸⊺⇮2388)⩌⋺(⨈⫕⊺⇮1452)=NaN","reverse_text":"NaN=(⨑⩽⪐(⊺⇮7285↤⩊⊺⇮2632%(⊺⇮2570⫡⨏⊺⇮1202)))↙(⋃(⋗⩬⋾⊺⇮4236))≃(⊺⇮5189↸⊺⇮2388)⩌⋺(⨈⫕⊺⇮1452)","cot":[{"info":"⊺⇮7285↤⩊⊺⇮2632=NaN","layer":3},{"info":"⊺⇮2570⫡⨏⊺⇮1202=⊺⇮16037","layer":3},{"info":"NaN%⊺⇮16037=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⋗⩬⋾⊺⇮4236=⊺⇮-12708","layer":3},{"info":"⋃⊺⇮-12708=⊺⇮-25314","layer":2},{"info":"⊺⇮5189↸⊺⇮2388=⊺⇮5189","layer":3},{"info":"⨈⫕⊺⇮1452=⊺⇮-21","layer":3},{"info":"⊺⇮5189⩌⋺⊺⇮-21=⊺⇮-5289","layer":2},{"info":"⊺⇮-25314≃⊺⇮-5289=⊺⇮21116","layer":1},{"info":"NaN↙⊺⇮21116=NaN","layer":0}]}
{"id":412,"expression_no_base_symbol":"((($3081$⊱⇼⊻$2130$)↑)⊬⫿⊭)⨿(((⋼∭⪍$1301$)∧)⩦((⩩$1565$)⇌⫙⪟($7856$⋖∅⋲)))","expression":"(((⊺⇮3081⊱⇼⊻⊺⇮2130)↑)⊬⫿⊭)⨿(((⋼∭⪍⊺⇮1301)∧)⩦((⩩⊺⇮1565)⇌⫙⪟(⊺⇮7856⋖∅⋲)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2979,"operation_count":10,"complexity_ratio":297.9,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3081,"base":10},"right_expr":{"type":"numeric_atoms","value":2130,"base":10}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1301,"base":10}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1565,"base":10}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":7856,"base":10}}}}},"used_operators":["abYXlopdE0","v0DYgG9ikt","BThhyOhh10","FyVja0WsTP","0kmYd0q39Y","z63VuFQld9","DbCuESL50I","AFVx7xoS7T","kMhfGuqI2H","L95AwlJzhO"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq"],"result":"⊺⇮-319","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3081","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=2130, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=212","layer":1},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-3464","layer":3},{"info":"compute unary expreesion, input=-3464, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=7856","layer":4},{"info":"compute unary expreesion, input=7856, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-384231, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=212, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮3081⊱⇼⊻⊺⇮2130)↑)⊬⫿⊭)⨿(((⋼∭⪍⊺⇮1301)∧)⩦((⩩⊺⇮1565)⇌⫙⪟(⊺⇮7856⋖∅⋲)))=⊺⇮-319","reverse_text":"⊺⇮-319=(((⊺⇮3081⊱⇼⊻⊺⇮2130)↑)⊬⫿⊭)⨿(((⋼∭⪍⊺⇮1301)∧)⩦((⩩⊺⇮1565)⇌⫙⪟(⊺⇮7856⋖∅⋲)))","cot":[{"info":"⊺⇮3081⊱⇼⊻⊺⇮2130=⊺⇮434","layer":3},{"info":"⊺⇮434↑=⊺⇮0","layer":2},{"info":"⊺⇮0⊬⫿⊭=⊺⇮212","layer":1},{"info":"⋼∭⪍⊺⇮1301=⊺⇮-3464","layer":3},{"info":"⊺⇮-3464∧=⊺⇮0","layer":2},{"info":"⩩⊺⇮1565=NaN","layer":3},{"info":"⊺⇮7856⋖∅⋲=⊺⇮-384231","layer":3},{"info":"NaN⇌⫙⪟⊺⇮-384231=NaN","layer":2},{"info":"⊺⇮0⩦NaN=⊺⇮0","layer":1},{"info":"⊺⇮212⨿⊺⇮0=⊺⇮-319","layer":0}]}
{"id":413,"expression_no_base_symbol":"((≋$2599$⨜⨶$2288$)⋓(∜⨇($2823$⊋≦⊧$4532$)))⇔⨋","expression":"((≋⊺⇮2599⨜⨶⊺⇮2288)⋓(∜⨇(⊺⇮2823⊋≦⊧⊺⇮4532)))⇔⨋","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":141,"operation_count":6,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2599,"base":10},"right_expr":{"type":"numeric_atoms","value":2288,"base":10}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2823,"base":10},"right_expr":{"type":"numeric_atoms","value":4532,"base":10}}}}},"used_operators":["uBihLCJcMX","T2fj7uvVaJ","61wBmkZwlr","HiPekx5b7W","uFPyJr306J","oRDoc9rAEX"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","7j4O788W3g","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2599","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=2288, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-4320","layer":3},{"info":"compute unary expreesion, input=-4320, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-4320","layer":2},{"info":"number node, value=2823","layer":4},{"info":"number node, value=4532","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=4532, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-7115","layer":3},{"info":"compute unary expreesion, input=-7115, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4320, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≋⊺⇮2599⨜⨶⊺⇮2288)⋓(∜⨇(⊺⇮2823⊋≦⊧⊺⇮4532)))⇔⨋=NaN","reverse_text":"NaN=((≋⊺⇮2599⨜⨶⊺⇮2288)⋓(∜⨇(⊺⇮2823⊋≦⊧⊺⇮4532)))⇔⨋","cot":[{"info":"⊺⇮2599⨜⨶⊺⇮2288=⊺⇮-4320","layer":3},{"info":"≋⊺⇮-4320=⊺⇮-4320","layer":2},{"info":"⊺⇮2823⊋≦⊧⊺⇮4532=⊺⇮-7115","layer":3},{"info":"∜⨇⊺⇮-7115=NaN","layer":2},{"info":"⊺⇮-4320⋓NaN=NaN","layer":1},{"info":"NaN⇔⨋=NaN","layer":0}]}
{"id":414,"expression_no_base_symbol":"($1126$⪄$2778$)∴($1066$≦↸$5199$)⨻⩈⩔(↥($3846$∖$4502$))/(⇁⨣⪵(⫓⪴$3222$))≭($3786$⊾⪯⋞$3099$)⨥⫆$4492$⪟⇏$5609$","expression":"(⊺⇮1126⪄⊺⇮2778)∴(⊺⇮1066≦↸⊺⇮5199)⨻⩈⩔(↥(⊺⇮3846∖⊺⇮4502))/(⇁⨣⪵(⫓⪴⊺⇮3222))≭(⊺⇮3786⊾⪯⋞⊺⇮3099)⨥⫆⊺⇮4492⪟⇏⊺⇮5609","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4061,"operation_count":13,"complexity_ratio":312.38461538461536,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1126,"base":10},"right_expr":{"type":"numeric_atoms","value":2778,"base":10}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1066,"base":10},"right_expr":{"type":"numeric_atoms","value":5199,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3846,"base":10},"right_expr":{"type":"numeric_atoms","value":4502,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3222,"base":10}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3786,"base":10},"right_expr":{"type":"numeric_atoms","value":3099,"base":10}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4492,"base":10},"right_expr":{"type":"numeric_atoms","value":5609,"base":10}}}}},"used_operators":["XhwjNDsVaA","nEsXyWgiOK","hrf7POJlIJ","SUmda5xLS4","RygbFNSyEJ","A8NUZmVepG","tXD093vOjl","rxpJgHHUmx","inkyxCbjAn","eLxqMNBOBk","yXekIHxTD4","HK0tfVPux8","GODebY97qR"],"dependent_operators":["rysDP5nf3Z","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","k8jYdgA6NY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","AHs5Up7iyr","B5M0gjZbta","9HNa5Wba9A","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1126","layer":4},{"info":"number node, value=2778","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=2778, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-173849","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=5199","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=5199, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-11849","layer":3},{"info":"compute binary expreesion, left_input=-173849, right_input=-11849, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-346050","layer":2},{"info":"number node, value=3846","layer":4},{"info":"number node, value=4502","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=4502, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-346050, right_input=0, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=3222","layer":4},{"info":"compute unary expreesion, input=3222, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10381284","layer":3},{"info":"compute unary expreesion, input=10381284, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3786","layer":4},{"info":"number node, value=3099","layer":4},{"info":"compute binary expreesion, left_input=3786, right_input=3099, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5772","layer":3},{"info":"number node, value=4492","layer":4},{"info":"number node, value=5609","layer":4},{"info":"compute binary expreesion, left_input=4492, right_input=5609, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=5772, right_input=-1, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1126⪄⊺⇮2778)∴(⊺⇮1066≦↸⊺⇮5199)⨻⩈⩔(↥(⊺⇮3846∖⊺⇮4502))/(⇁⨣⪵(⫓⪴⊺⇮3222))≭(⊺⇮3786⊾⪯⋞⊺⇮3099)⨥⫆⊺⇮4492⪟⇏⊺⇮5609=NaN","reverse_text":"NaN=(⊺⇮1126⪄⊺⇮2778)∴(⊺⇮1066≦↸⊺⇮5199)⨻⩈⩔(↥(⊺⇮3846∖⊺⇮4502))/(⇁⨣⪵(⫓⪴⊺⇮3222))≭(⊺⇮3786⊾⪯⋞⊺⇮3099)⨥⫆⊺⇮4492⪟⇏⊺⇮5609","cot":[{"info":"⊺⇮1126⪄⊺⇮2778=⊺⇮-173849","layer":3},{"info":"⊺⇮1066≦↸⊺⇮5199=⊺⇮-11849","layer":3},{"info":"⊺⇮-173849∴⊺⇮-11849=⊺⇮-346050","layer":2},{"info":"⊺⇮3846∖⊺⇮4502=⊺⇮0","layer":3},{"info":"↥⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-346050⨻⩈⩔⊺⇮0=⊺⇮-174","layer":1},{"info":"⫓⪴⊺⇮3222=⊺⇮10381284","layer":3},{"info":"⇁⨣⪵⊺⇮10381284=NaN","layer":2},{"info":"⊺⇮3786⊾⪯⋞⊺⇮3099=⊺⇮5772","layer":3},{"info":"⊺⇮4492⪟⇏⊺⇮5609=⊺⇮-1","layer":3},{"info":"⊺⇮5772⨥⫆⊺⇮-1=⊺⇮-1160","layer":2},{"info":"NaN≭⊺⇮-1160=NaN","layer":1},{"info":"⊺⇮-174/NaN=NaN","layer":0}]}
{"id":415,"expression_no_base_symbol":"(≻⋜($6066$⋭≵$1590$))↼⊘⨖($2413$⨸⪁$4483$)⋥⋵⩄($1072$∋$1999$)⫥∨⫟($7150$⩨$8178$⩹$3278$⊴$6429$)≹⇙⪍($5538$⨚$7649$⇮⋭(⇾⩊⇾$2405$))","expression":"(≻⋜(⊺⇮6066⋭≵⊺⇮1590))↼⊘⨖(⊺⇮2413⨸⪁⊺⇮4483)⋥⋵⩄(⊺⇮1072∋⊺⇮1999)⫥∨⫟(⊺⇮7150⩨⊺⇮8178⩹⊺⇮3278⊴⊺⇮6429)≹⇙⪍(⊺⇮5538⨚⊺⇮7649⇮⋭(⇾⩊⇾⊺⇮2405))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12563,"operation_count":14,"complexity_ratio":897.3571428571429,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6066,"base":10},"right_expr":{"type":"numeric_atoms","value":1590,"base":10}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2413,"base":10},"right_expr":{"type":"numeric_atoms","value":4483,"base":10}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1072,"base":10},"right_expr":{"type":"numeric_atoms","value":1999,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7150,"base":10},"right_expr":{"type":"numeric_atoms","value":8178,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3278,"base":10},"right_expr":{"type":"numeric_atoms","value":6429,"base":10}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":5538,"base":10},"right_expr":{"type":"numeric_atoms","value":7649,"base":10}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2405,"base":10}}}}},"used_operators":["KYD54nUTWz","bPywburJMS","3tj9sqzovi","jBncVCNhdl","7t3wd0Fuz7","g55IO6H4Gj","ukq6epAj5P","AHs5Up7iyr","2Wsdkap16l","2DlMacCsIx","Nsiff2A1zJ","vkpjKywKVM","nREPSIbpBE","bx9Z9DAK5y"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","dWAJyo7jo9","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6066","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=6066, right_input=1590, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=2413","layer":4},{"info":"number node, value=4483","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=4483, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13792","layer":3},{"info":"number node, value=1072","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1999, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4144000","layer":3},{"info":"compute binary expreesion, left_input=13792, right_input=4144000, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4","layer":1},{"info":"number node, value=7150","layer":4},{"info":"number node, value=8178","layer":4},{"info":"compute binary expreesion, left_input=7150, right_input=8178, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3278","layer":4},{"info":"number node, value=6429","layer":4},{"info":"compute binary expreesion, left_input=3278, right_input=6429, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=5538","layer":4},{"info":"number node, value=7649","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=7649, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-18586","layer":3},{"info":"number node, value=2405","layer":4},{"info":"compute unary expreesion, input=2405, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-28131","layer":3},{"info":"compute binary expreesion, left_input=-18586, right_input=-28131, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≻⋜(⊺⇮6066⋭≵⊺⇮1590))↼⊘⨖(⊺⇮2413⨸⪁⊺⇮4483)⋥⋵⩄(⊺⇮1072∋⊺⇮1999)⫥∨⫟(⊺⇮7150⩨⊺⇮8178⩹⊺⇮3278⊴⊺⇮6429)≹⇙⪍(⊺⇮5538⨚⊺⇮7649⇮⋭(⇾⩊⇾⊺⇮2405))=NaN","reverse_text":"NaN=(≻⋜(⊺⇮6066⋭≵⊺⇮1590))↼⊘⨖(⊺⇮2413⨸⪁⊺⇮4483)⋥⋵⩄(⊺⇮1072∋⊺⇮1999)⫥∨⫟(⊺⇮7150⩨⊺⇮8178⩹⊺⇮3278⊴⊺⇮6429)≹⇙⪍(⊺⇮5538⨚⊺⇮7649⇮⋭(⇾⩊⇾⊺⇮2405))","cot":[{"info":"⊺⇮6066⋭≵⊺⇮1590=⊺⇮67","layer":3},{"info":"≻⋜⊺⇮67=NaN","layer":2},{"info":"⊺⇮2413⨸⪁⊺⇮4483=⊺⇮13792","layer":3},{"info":"⊺⇮1072∋⊺⇮1999=⊺⇮4144000","layer":3},{"info":"⊺⇮13792⋥⋵⩄⊺⇮4144000=⊺⇮113","layer":2},{"info":"NaN↼⊘⨖⊺⇮113=⊺⇮4","layer":1},{"info":"⊺⇮7150⩨⊺⇮8178=⊺⇮-3","layer":3},{"info":"⊺⇮3278⊴⊺⇮6429=NaN","layer":3},{"info":"⊺⇮-3⩹NaN=NaN","layer":2},{"info":"⊺⇮5538⨚⊺⇮7649=⊺⇮-18586","layer":3},{"info":"⇾⩊⇾⊺⇮2405=⊺⇮-28131","layer":3},{"info":"⊺⇮-18586⇮⋭⊺⇮-28131=⊺⇮67","layer":2},{"info":"NaN≹⇙⪍⊺⇮67=NaN","layer":1},{"info":"⊺⇮4⫥∨⫟NaN=NaN","layer":0}]}
{"id":416,"expression_no_base_symbol":"((↥$1386$⫯⪬∳$1310$)⪡(($1992$⪒⊣⊆$3142$)≃⋄))∼(($5360$⩵∡$6666$)≒∊$4705$∓⋝$1389$↱($4750$⪛⫼$2162$)⇍⊗$1516$≴⪞⇿$3164$)","expression":"((↥⊺⇮1386⫯⪬∳⊺⇮1310)⪡((⊺⇮1992⪒⊣⊆⊺⇮3142)≃⋄))∼((⊺⇮5360⩵∡⊺⇮6666)≒∊⊺⇮4705∓⋝⊺⇮1389↱(⊺⇮4750⪛⫼⊺⇮2162)⇍⊗⊺⇮1516≴⪞⇿⊺⇮3164)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1785,"operation_count":13,"complexity_ratio":137.30769230769232,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1386,"base":10},"right_expr":{"type":"numeric_atoms","value":1310,"base":10}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1992,"base":10},"right_expr":{"type":"numeric_atoms","value":3142,"base":10}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":5360,"base":10},"right_expr":{"type":"numeric_atoms","value":6666,"base":10}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4705,"base":10},"right_expr":{"type":"numeric_atoms","value":1389,"base":10}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4750,"base":10},"right_expr":{"type":"numeric_atoms","value":2162,"base":10}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1516,"base":10},"right_expr":{"type":"numeric_atoms","value":3164,"base":10}}}}},"used_operators":["DyGG3AbaNP","oraRL2iQuh","A8NUZmVepG","d7ASUq0ydm","aN9a90urxU","eRqsBgTDFp","SR5kFfdi6N","5KTvxBwnZo","Y7wcNGrDQJ","PoHhknlbAi","5uvYHDjeKN","hyuBjUqXlG","lvlrscuwVU"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","k8jYdgA6NY","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","uFcxV4UQCh","jLgFTUHLKL","sdazOOVcIp","W4YGzv6Whe","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1386","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=1310, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5653","layer":3},{"info":"compute unary expreesion, input=5653, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":2},{"info":"number node, value=1992","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=3142, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3984","layer":3},{"info":"compute unary expreesion, input=3984, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":2},{"info":"compute binary expreesion, left_input=43, right_input=764, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1764","layer":1},{"info":"number node, value=5360","layer":4},{"info":"number node, value=6666","layer":4},{"info":"compute binary expreesion, left_input=5360, right_input=6666, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4175","layer":3},{"info":"number node, value=4705","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=4705, right_input=1389, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-4175, right_input=67, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=4659","layer":2},{"info":"number node, value=4750","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=4750, right_input=2162, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1516","layer":4},{"info":"number node, value=3164","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=3164, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3090332","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=3090332, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=4659, right_input=-244, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=13360","layer":1},{"info":"compute binary expreesion, left_input=-1764, right_input=13360, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↥⊺⇮1386⫯⪬∳⊺⇮1310)⪡((⊺⇮1992⪒⊣⊆⊺⇮3142)≃⋄))∼((⊺⇮5360⩵∡⊺⇮6666)≒∊⊺⇮4705∓⋝⊺⇮1389↱(⊺⇮4750⪛⫼⊺⇮2162)⇍⊗⊺⇮1516≴⪞⇿⊺⇮3164)=NaN","reverse_text":"NaN=((↥⊺⇮1386⫯⪬∳⊺⇮1310)⪡((⊺⇮1992⪒⊣⊆⊺⇮3142)≃⋄))∼((⊺⇮5360⩵∡⊺⇮6666)≒∊⊺⇮4705∓⋝⊺⇮1389↱(⊺⇮4750⪛⫼⊺⇮2162)⇍⊗⊺⇮1516≴⪞⇿⊺⇮3164)","cot":[{"info":"⊺⇮1386⫯⪬∳⊺⇮1310=⊺⇮5653","layer":3},{"info":"↥⊺⇮5653=⊺⇮43","layer":2},{"info":"⊺⇮1992⪒⊣⊆⊺⇮3142=⊺⇮3984","layer":3},{"info":"⊺⇮3984≃⋄=⊺⇮764","layer":2},{"info":"⊺⇮43⪡⊺⇮764=⊺⇮-1764","layer":1},{"info":"⊺⇮5360⩵∡⊺⇮6666=⊺⇮-4175","layer":3},{"info":"⊺⇮4705∓⋝⊺⇮1389=⊺⇮67","layer":3},{"info":"⊺⇮-4175≒∊⊺⇮67=⊺⇮4659","layer":2},{"info":"⊺⇮4750⪛⫼⊺⇮2162=⊺⇮968","layer":3},{"info":"⊺⇮1516≴⪞⇿⊺⇮3164=⊺⇮3090332","layer":3},{"info":"⊺⇮968⇍⊗⊺⇮3090332=⊺⇮-244","layer":2},{"info":"⊺⇮4659↱⊺⇮-244=⊺⇮13360","layer":1},{"info":"⊺⇮-1764∼⊺⇮13360=NaN","layer":0}]}
{"id":417,"expression_no_base_symbol":"(⨙⪌((⨭⩧⫛$1099$)⪪($2041$⪮%⊝$1075$)))⨳⩥⨓($1589$≠≀$5482$⪉⨛$1103$⪕$6686$)⫰⋱$1810$+⪬∐$2467$≒∊($5114$⪑⩈)","expression":"(⨙⪌((⨭⩧⫛⊺⇮1099)⪪(⊺⇮2041⪮%⊝⊺⇮1075)))⨳⩥⨓(⊺⇮1589≠≀⊺⇮5482⪉⨛⊺⇮1103⪕⊺⇮6686)⫰⋱⊺⇮1810+⪬∐⊺⇮2467≒∊(⊺⇮5114⪑⩈)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":227,"operation_count":12,"complexity_ratio":18.916666666666668,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1099,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2041,"base":10},"right_expr":{"type":"numeric_atoms","value":1075,"base":10}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1589,"base":10},"right_expr":{"type":"numeric_atoms","value":5482,"base":10}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1103,"base":10},"right_expr":{"type":"numeric_atoms","value":6686,"base":10}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1810,"base":10},"right_expr":{"type":"numeric_atoms","value":2467,"base":10}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":5114,"base":10}}}}},"used_operators":["nCS4ZIUYfx","vEGLkm4Z2k","xD69zh8xqp","g21JL6JxX7","IWmyXbctLI","6o9Blt3TJ6","EWw2JM7wp4","IwW236VD4Y","umQnsF7QlU","5KTvxBwnZo","2GS7woTJqF","C6VvDP6HwP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","FU0Cs4j7VP","JclMnS0uGI","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=2041","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=1075, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4398","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4398, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":1},{"info":"number node, value=1589","layer":4},{"info":"number node, value=5482","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=5482, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2872","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=6686","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=6686, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=-2872, right_input=-55, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-8236","layer":2},{"info":"number node, value=1810","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=2467, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5430","layer":3},{"info":"number node, value=5114","layer":4},{"info":"compute unary expreesion, input=5114, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=37388","layer":3},{"info":"compute binary expreesion, left_input=-5430, right_input=37388, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=5914","layer":2},{"info":"compute binary expreesion, left_input=-8236, right_input=5914, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=8269","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8269, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨙⪌((⨭⩧⫛⊺⇮1099)⪪(⊺⇮2041⪮%⊝⊺⇮1075)))⨳⩥⨓(⊺⇮1589≠≀⊺⇮5482⪉⨛⊺⇮1103⪕⊺⇮6686)⫰⋱⊺⇮1810+⪬∐⊺⇮2467≒∊(⊺⇮5114⪑⩈)=NaN","reverse_text":"NaN=(⨙⪌((⨭⩧⫛⊺⇮1099)⪪(⊺⇮2041⪮%⊝⊺⇮1075)))⨳⩥⨓(⊺⇮1589≠≀⊺⇮5482⪉⨛⊺⇮1103⪕⊺⇮6686)⫰⋱⊺⇮1810+⪬∐⊺⇮2467≒∊(⊺⇮5114⪑⩈)","cot":[{"info":"⨭⩧⫛⊺⇮1099=NaN","layer":3},{"info":"⊺⇮2041⪮%⊝⊺⇮1075=⊺⇮4398","layer":3},{"info":"NaN⪪⊺⇮4398=NaN","layer":2},{"info":"⨙⪌NaN=NaN","layer":1},{"info":"⊺⇮1589≠≀⊺⇮5482=⊺⇮-2872","layer":3},{"info":"⊺⇮1103⪕⊺⇮6686=⊺⇮-55","layer":3},{"info":"⊺⇮-2872⪉⨛⊺⇮-55=⊺⇮-8236","layer":2},{"info":"⊺⇮1810+⪬∐⊺⇮2467=⊺⇮-5430","layer":3},{"info":"⊺⇮5114⪑⩈=⊺⇮37388","layer":3},{"info":"⊺⇮-5430≒∊⊺⇮37388=⊺⇮5914","layer":2},{"info":"⊺⇮-8236⫰⋱⊺⇮5914=⊺⇮8269","layer":1},{"info":"NaN⨳⩥⨓⊺⇮8269=NaN","layer":0}]}
{"id":418,"expression_no_base_symbol":"((⇋↷$2727$)⨽($1246$⋭≵$3716$))⨑⩅≇($1385$⨚$3101$⫒⫫$1633$⪝$2600$)⩒⫫(($1117$⪃⊛⇣$1221$⊍⩺⋍$2961$⨜⨶$4250$)⊭↱(≻⋜$3000$)∇⊂⋱(↸⊣$2455$))","expression":"((⇋↷⊺⇮2727)⨽(⊺⇮1246⋭≵⊺⇮3716))⨑⩅≇(⊺⇮1385⨚⊺⇮3101⫒⫫⊺⇮1633⪝⊺⇮2600)⩒⫫((⊺⇮1117⪃⊛⇣⊺⇮1221⊍⩺⋍⊺⇮2961⨜⨶⊺⇮4250)⊭↱(≻⋜⊺⇮3000)∇⊂⋱(↸⊣⊺⇮2455))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":41012,"operation_count":15,"complexity_ratio":2734.133333333333,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2727,"base":10}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1246,"base":10},"right_expr":{"type":"numeric_atoms","value":3716,"base":10}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1385,"base":10},"right_expr":{"type":"numeric_atoms","value":3101,"base":10}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1633,"base":10},"right_expr":{"type":"numeric_atoms","value":2600,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1117,"base":10},"right_expr":{"type":"numeric_atoms","value":1221,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2961,"base":10},"right_expr":{"type":"numeric_atoms","value":4250,"base":10}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3000,"base":10}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2455,"base":10}}}}},"used_operators":["KFSx94NKJn","h92wMvzauj","8HhzD0ZcuI","SWo3A1KBJH","jBncVCNhdl","6Ko8hGgeMq","nREPSIbpBE","wicAB68Tmb","COABgblf1C","OXDGMFPWZM","rrgAzCduG9","HiPekx5b7W","nhYeJWJD5X","3tj9sqzovi","wztAlM01eG"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","BjRHVeLaeN","12rbrZMWeM","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2727","layer":4},{"info":"compute unary expreesion, input=2727, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=21816","layer":3},{"info":"number node, value=1246","layer":4},{"info":"number node, value=3716","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=3716, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=21816, right_input=67, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1427812455","layer":2},{"info":"number node, value=1385","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=3101, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-8700","layer":3},{"info":"number node, value=1633","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=2600, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=-8700, right_input=237, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=43062","layer":2},{"info":"compute binary expreesion, left_input=-1427812455, right_input=43062, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":1},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1221, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2961","layer":4},{"info":"number node, value=4250","layer":4},{"info":"compute binary expreesion, left_input=2961, right_input=4250, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-8244","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-8244, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=3000","layer":4},{"info":"compute unary expreesion, input=3000, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=2455","layer":4},{"info":"compute unary expreesion, input=2455, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2168","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2168, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⇋↷⊺⇮2727)⨽(⊺⇮1246⋭≵⊺⇮3716))⨑⩅≇(⊺⇮1385⨚⊺⇮3101⫒⫫⊺⇮1633⪝⊺⇮2600)⩒⫫((⊺⇮1117⪃⊛⇣⊺⇮1221⊍⩺⋍⊺⇮2961⨜⨶⊺⇮4250)⊭↱(≻⋜⊺⇮3000)∇⊂⋱(↸⊣⊺⇮2455))=NaN","reverse_text":"NaN=((⇋↷⊺⇮2727)⨽(⊺⇮1246⋭≵⊺⇮3716))⨑⩅≇(⊺⇮1385⨚⊺⇮3101⫒⫫⊺⇮1633⪝⊺⇮2600)⩒⫫((⊺⇮1117⪃⊛⇣⊺⇮1221⊍⩺⋍⊺⇮2961⨜⨶⊺⇮4250)⊭↱(≻⋜⊺⇮3000)∇⊂⋱(↸⊣⊺⇮2455))","cot":[{"info":"⇋↷⊺⇮2727=⊺⇮21816","layer":3},{"info":"⊺⇮1246⋭≵⊺⇮3716=⊺⇮67","layer":3},{"info":"⊺⇮21816⨽⊺⇮67=⊺⇮-1427812455","layer":2},{"info":"⊺⇮1385⨚⊺⇮3101=⊺⇮-8700","layer":3},{"info":"⊺⇮1633⪝⊺⇮2600=⊺⇮237","layer":3},{"info":"⊺⇮-8700⫒⫫⊺⇮237=⊺⇮43062","layer":2},{"info":"⊺⇮-1427812455⨑⩅≇⊺⇮43062=⊺⇮935","layer":1},{"info":"⊺⇮1117⪃⊛⇣⊺⇮1221=⊺⇮1234","layer":3},{"info":"⊺⇮2961⨜⨶⊺⇮4250=⊺⇮-8244","layer":3},{"info":"⊺⇮1234⊍⩺⋍⊺⇮-8244=NaN","layer":2},{"info":"≻⋜⊺⇮3000=NaN","layer":3},{"info":"↸⊣⊺⇮2455=⊺⇮-2168","layer":3},{"info":"NaN∇⊂⋱⊺⇮-2168=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⊺⇮935⩒⫫NaN=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"≸≮(($1634$∠⫱$4407$)⪚($2324$⪉⨛$3444$)⪛⫼($1709$≨$3335$⇩))","expression":"≸≮((⊺⇮1634∠⫱⊺⇮4407)⪚(⊺⇮2324⪉⨛⊺⇮3444)⪛⫼(⊺⇮1709≨⊺⇮3335⇩))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":341,"operation_count":7,"complexity_ratio":48.714285714285715,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1634,"base":10},"right_expr":{"type":"numeric_atoms","value":4407,"base":10}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2324,"base":10},"right_expr":{"type":"numeric_atoms","value":3444,"base":10}}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1709,"base":10},"right_expr":{"type":"numeric_atoms","value":3335,"base":10}}}}},"used_operators":["AljMvE3RRm","hyuBjUqXlG","HrjLwUk87U","QvoQhV0rrE","EWw2JM7wp4","vRio1gEz1j","0KMCeP1Jsh"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⊺⇮23838","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1634","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=4407, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=2324","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=3444, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3743","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3743, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5374","layer":2},{"info":"number node, value=1709","layer":4},{"info":"number node, value=3335","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=3335, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-14614","layer":3},{"info":"compute unary expreesion, input=-14614, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-14521","layer":2},{"info":"compute binary expreesion, left_input=-5374, right_input=-14521, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1537","layer":1},{"info":"compute unary expreesion, input=-1537, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=23838","layer":0}],"base":10,"result_base":10,"text":"≸≮((⊺⇮1634∠⫱⊺⇮4407)⪚(⊺⇮2324⪉⨛⊺⇮3444)⪛⫼(⊺⇮1709≨⊺⇮3335⇩))=⊺⇮23838","reverse_text":"⊺⇮23838=≸≮((⊺⇮1634∠⫱⊺⇮4407)⪚(⊺⇮2324⪉⨛⊺⇮3444)⪛⫼(⊺⇮1709≨⊺⇮3335⇩))","cot":[{"info":"⊺⇮1634∠⫱⊺⇮4407=⊺⇮1234","layer":3},{"info":"⊺⇮2324⪉⨛⊺⇮3444=⊺⇮3743","layer":3},{"info":"⊺⇮1234⪚⊺⇮3743=⊺⇮-5374","layer":2},{"info":"⊺⇮1709≨⊺⇮3335=⊺⇮-14614","layer":3},{"info":"⊺⇮-14614⇩=⊺⇮-14521","layer":2},{"info":"⊺⇮-5374⪛⫼⊺⇮-14521=⊺⇮-1537","layer":1},{"info":"≸≮⊺⇮-1537=⊺⇮23838","layer":0}]}
{"id":420,"expression_no_base_symbol":"⋼∭⪍(⪓⩚($5444$≎⊠⪸$1289$))⨥⫆($1943$⨚$3005$)⪝($1460$⨔⇊$1322$)","expression":"⋼∭⪍(⪓⩚(⊺⇮5444≎⊠⪸⊺⇮1289))⨥⫆(⊺⇮1943⨚⊺⇮3005)⪝(⊺⇮1460⨔⇊⊺⇮1322)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4095,"operation_count":7,"complexity_ratio":585.0,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5444,"base":10},"right_expr":{"type":"numeric_atoms","value":1289,"base":10}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1943,"base":10},"right_expr":{"type":"numeric_atoms","value":3005,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1460,"base":10},"right_expr":{"type":"numeric_atoms","value":1322,"base":10}}}}},"used_operators":["DbCuESL50I","yXekIHxTD4","u0R0Locfp2","bJkvcejdHO","wicAB68Tmb","nREPSIbpBE","JclMnS0uGI"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⊺⇮942","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5444","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=5444, right_input=1289, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1409523","layer":3},{"info":"compute unary expreesion, input=1409523, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=1943","layer":4},{"info":"number node, value=3005","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=3005, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7200","layer":3},{"info":"number node, value=1460","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=1322, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1322","layer":3},{"info":"compute binary expreesion, left_input=-7200, right_input=1322, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-65545","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=-65545, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=942","layer":0}],"base":10,"result_base":10,"text":"⋼∭⪍(⪓⩚(⊺⇮5444≎⊠⪸⊺⇮1289))⨥⫆(⊺⇮1943⨚⊺⇮3005)⪝(⊺⇮1460⨔⇊⊺⇮1322)=⊺⇮942","reverse_text":"⊺⇮942=⋼∭⪍(⪓⩚(⊺⇮5444≎⊠⪸⊺⇮1289))⨥⫆(⊺⇮1943⨚⊺⇮3005)⪝(⊺⇮1460⨔⇊⊺⇮1322)","cot":[{"info":"⊺⇮5444≎⊠⪸⊺⇮1289=⊺⇮1409523","layer":3},{"info":"⪓⩚⊺⇮1409523=⊺⇮426","layer":2},{"info":"⊺⇮1943⨚⊺⇮3005=⊺⇮-7200","layer":3},{"info":"⊺⇮1460⨔⇊⊺⇮1322=⊺⇮1322","layer":3},{"info":"⊺⇮-7200⪝⊺⇮1322=⊺⇮-65545","layer":2},{"info":"⊺⇮426⨥⫆⊺⇮-65545=⊺⇮-1","layer":1},{"info":"⋼∭⪍⊺⇮-1=⊺⇮942","layer":0}]}
{"id":421,"expression_no_base_symbol":"((↪⫪⫘($7860$⊋$1630$))⊉≛↸($1611$⩌⋺$4105$⨲))⫲⨊","expression":"((↪⫪⫘(⊺⇮7860⊋⊺⇮1630))⊉≛↸(⊺⇮1611⩌⋺⊺⇮4105⨲))⫲⨊","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3059472,"operation_count":6,"complexity_ratio":509912.0,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7860,"base":10},"right_expr":{"type":"numeric_atoms","value":1630,"base":10}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1611,"base":10},"right_expr":{"type":"numeric_atoms","value":4105,"base":10}}}}},"used_operators":["CArV6hThFE","DZ8iAZOCBD","9dWsAM3GFt","W4tP9CfskL","nLYMGWM7L8","g7Hmc5v1ko"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⊺⇮983","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7860","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=7860, right_input=1630, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=77710524","layer":3},{"info":"compute unary expreesion, input=77710524, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=1611","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=4105, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-5837","layer":3},{"info":"compute unary expreesion, input=-5837, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=4683709, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=40","layer":1},{"info":"compute unary expreesion, input=40, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=983","layer":0}],"base":10,"result_base":10,"text":"((↪⫪⫘(⊺⇮7860⊋⊺⇮1630))⊉≛↸(⊺⇮1611⩌⋺⊺⇮4105⨲))⫲⨊=⊺⇮983","reverse_text":"⊺⇮983=((↪⫪⫘(⊺⇮7860⊋⊺⇮1630))⊉≛↸(⊺⇮1611⩌⋺⊺⇮4105⨲))⫲⨊","cot":[{"info":"⊺⇮7860⊋⊺⇮1630=⊺⇮77710524","layer":3},{"info":"↪⫪⫘⊺⇮77710524=⊺⇮20","layer":2},{"info":"⊺⇮1611⩌⋺⊺⇮4105=⊺⇮-5837","layer":3},{"info":"⊺⇮-5837⨲=⊺⇮4683709","layer":2},{"info":"⊺⇮20⊉≛↸⊺⇮4683709=⊺⇮40","layer":1},{"info":"⊺⇮40⫲⨊=⊺⇮983","layer":0}]}
{"id":422,"expression_no_base_symbol":"(↨$1680$⫣⪄⊒$2223$)⪬(($2004$⪕$3741$)⇷(≀↧⇸$7676$))∋((↞≼$1177$⨿$3604$)⨚⇆((→⩰$1505$)⊨$3783$∀⇚≩$1862$))","expression":"(↨⊺⇮1680⫣⪄⊒⊺⇮2223)⪬((⊺⇮2004⪕⊺⇮3741)⇷(≀↧⇸⊺⇮7676))∋((↞≼⊺⇮1177⨿⊺⇮3604)⨚⇆((→⩰⊺⇮1505)⊨⊺⇮3783∀⇚≩⊺⇮1862))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45963,"operation_count":13,"complexity_ratio":3535.6153846153848,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1680,"base":10},"right_expr":{"type":"numeric_atoms","value":2223,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2004,"base":10},"right_expr":{"type":"numeric_atoms","value":3741,"base":10}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":7676,"base":10}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1177,"base":10},"right_expr":{"type":"numeric_atoms","value":3604,"base":10}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1505,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3783,"base":10},"right_expr":{"type":"numeric_atoms","value":1862,"base":10}}}}},"used_operators":["ukq6epAj5P","Ez1Nq5fNfI","jiX4gk2v2Q","RabNbG55vr","mp7IySMOzn","umQnsF7QlU","ljTHtUsqzn","lwHaAYXP2r","DE7zCoGJt9","abYXlopdE0","vg4gO5BX6G","o8Pngz0Tml","LRNGc0VcxI"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rGHVDoGpnC","oZj3VtZNQx","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","X99M06cbEe"],"result":"⊺⇮-59560","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1680","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=2223, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-10490","layer":3},{"info":"compute unary expreesion, input=-10490, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=2004","layer":4},{"info":"number node, value=3741","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=3741, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1168","layer":3},{"info":"number node, value=7676","layer":4},{"info":"compute unary expreesion, input=7676, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=15352","layer":3},{"info":"compute binary expreesion, left_input=1168, right_input=15352, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=30704","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=30704, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1177","layer":4},{"info":"number node, value=3604","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=3604, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-2966","layer":2},{"info":"number node, value=1505","layer":4},{"info":"compute unary expreesion, input=1505, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=3783","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=3783, right_input=1862, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2966, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-inf, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-59560","layer":0}],"base":10,"result_base":10,"text":"(↨⊺⇮1680⫣⪄⊒⊺⇮2223)⪬((⊺⇮2004⪕⊺⇮3741)⇷(≀↧⇸⊺⇮7676))∋((↞≼⊺⇮1177⨿⊺⇮3604)⨚⇆((→⩰⊺⇮1505)⊨⊺⇮3783∀⇚≩⊺⇮1862))=⊺⇮-59560","reverse_text":"⊺⇮-59560=(↨⊺⇮1680⫣⪄⊒⊺⇮2223)⪬((⊺⇮2004⪕⊺⇮3741)⇷(≀↧⇸⊺⇮7676))∋((↞≼⊺⇮1177⨿⊺⇮3604)⨚⇆((→⩰⊺⇮1505)⊨⊺⇮3783∀⇚≩⊺⇮1862))","cot":[{"info":"⊺⇮1680⫣⪄⊒⊺⇮2223=⊺⇮-10490","layer":3},{"info":"↨⊺⇮-10490=NaN","layer":2},{"info":"⊺⇮2004⪕⊺⇮3741=⊺⇮1168","layer":3},{"info":"≀↧⇸⊺⇮7676=⊺⇮15352","layer":3},{"info":"⊺⇮1168⇷⊺⇮15352=⊺⇮30704","layer":2},{"info":"NaN⪬⊺⇮30704=⊺⇮1234","layer":1},{"info":"⊺⇮1177⨿⊺⇮3604=⊺⇮-319","layer":3},{"info":"↞≼⊺⇮-319=⊺⇮-2966","layer":2},{"info":"→⩰⊺⇮1505=NaN","layer":3},{"info":"⊺⇮3783∀⇚≩⊺⇮1862=NaN","layer":3},{"info":"NaN⊨NaN=NaN","layer":2},{"info":"⊺⇮-2966⨚⇆NaN=-Inf","layer":1},{"info":"⊺⇮1234∋-Inf=⊺⇮-59560","layer":0}]}
{"id":423,"expression_no_base_symbol":"(⊗$1555$≎⪠$7150$≴⪞⇿(⪲⇎$2856$))⫃⨇($1667$⊉↱≁$1706$+⇶⊼$4929$∇⊂⋱$2206$⫌⩉⩟($3230$⨒$7463$)↤⩊(⊲⪭$1177$))","expression":"(⊗⊺⇮1555≎⪠⊺⇮7150≴⪞⇿(⪲⇎⊺⇮2856))⫃⨇(⊺⇮1667⊉↱≁⊺⇮1706+⇶⊼⊺⇮4929∇⊂⋱⊺⇮2206⫌⩉⩟(⊺⇮3230⨒⊺⇮7463)↤⩊(⊲⪭⊺⇮1177))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":39192,"operation_count":12,"complexity_ratio":3266.0,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1555,"base":10},"right_expr":{"type":"numeric_atoms","value":7150,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2856,"base":10}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1667,"base":10},"right_expr":{"type":"numeric_atoms","value":1706,"base":10}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4929,"base":10},"right_expr":{"type":"numeric_atoms","value":2206,"base":10}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3230,"base":10},"right_expr":{"type":"numeric_atoms","value":7463,"base":10}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1177,"base":10}}}}},"used_operators":["09Ly4LVMIf","RhiyfpczSx","lvlrscuwVU","aNhz54LH3e","XPYlsWDdGa","XIIwhv8d0m","TpPTUOHfaN","w2P8NbNXyL","nhYeJWJD5X","13rbtpv6ld","y75s1iXyHd","k7HXdKtiEU"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","i8ToyICDmI","xUOZtlo3hN"],"result":"⊺⇮168","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":4},{"info":"number node, value=7150","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=7150, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2856","layer":4},{"info":"compute unary expreesion, input=2856, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5712","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=5712, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=743822684","layer":2},{"info":"compute unary expreesion, input=743822684, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-1487645368","layer":1},{"info":"number node, value=1667","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=1706, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=6382","layer":3},{"info":"number node, value=4929","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=4929, right_input=2206, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9312","layer":3},{"info":"compute binary expreesion, left_input=6382, right_input=9312, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3230","layer":4},{"info":"number node, value=7463","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=7463, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-19008","layer":3},{"info":"number node, value=1177","layer":4},{"info":"compute unary expreesion, input=1177, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1351","layer":3},{"info":"compute binary expreesion, left_input=-19008, right_input=-1351, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=-1487645368, right_input=-50, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=168","layer":0}],"base":10,"result_base":10,"text":"(⊗⊺⇮1555≎⪠⊺⇮7150≴⪞⇿(⪲⇎⊺⇮2856))⫃⨇(⊺⇮1667⊉↱≁⊺⇮1706+⇶⊼⊺⇮4929∇⊂⋱⊺⇮2206⫌⩉⩟(⊺⇮3230⨒⊺⇮7463)↤⩊(⊲⪭⊺⇮1177))=⊺⇮168","reverse_text":"⊺⇮168=(⊗⊺⇮1555≎⪠⊺⇮7150≴⪞⇿(⪲⇎⊺⇮2856))⫃⨇(⊺⇮1667⊉↱≁⊺⇮1706+⇶⊼⊺⇮4929∇⊂⋱⊺⇮2206⫌⩉⩟(⊺⇮3230⨒⊺⇮7463)↤⩊(⊲⪭⊺⇮1177))","cot":[{"info":"⊺⇮1555≎⪠⊺⇮7150=⊺⇮19558","layer":3},{"info":"⪲⇎⊺⇮2856=⊺⇮5712","layer":3},{"info":"⊺⇮19558≴⪞⇿⊺⇮5712=⊺⇮743822684","layer":2},{"info":"⊗⊺⇮743822684=⊺⇮-1487645368","layer":1},{"info":"⊺⇮1667⊉↱≁⊺⇮1706=⊺⇮6382","layer":3},{"info":"⊺⇮4929∇⊂⋱⊺⇮2206=⊺⇮9312","layer":3},{"info":"⊺⇮6382+⇶⊼⊺⇮9312=NaN","layer":2},{"info":"⊺⇮3230⨒⊺⇮7463=⊺⇮-19008","layer":3},{"info":"⊲⪭⊺⇮1177=⊺⇮-1351","layer":3},{"info":"⊺⇮-19008↤⩊⊺⇮-1351=NaN","layer":2},{"info":"NaN⫌⩉⩟NaN=⊺⇮-50","layer":1},{"info":"⊺⇮-1487645368⫃⨇⊺⇮-50=⊺⇮168","layer":0}]}
{"id":424,"expression_no_base_symbol":"(($1090$⇴$3030$⇉⇉)≒∊($1296$⇴∐$3664$)⋥⋵⩄($1011$⊜))↬(⫖→$1580$∺≝⩲$7870$∊∟⩊($2904$⫰⋱$3497$))","expression":"((⊺⇮1090⇴⊺⇮3030⇉⇉)≒∊(⊺⇮1296⇴∐⊺⇮3664)⋥⋵⩄(⊺⇮1011⊜))↬(⫖→⊺⇮1580∺≝⩲⊺⇮7870∊∟⩊(⊺⇮2904⫰⋱⊺⇮3497))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3231,"operation_count":11,"complexity_ratio":293.72727272727275,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1090,"base":10},"right_expr":{"type":"numeric_atoms","value":3030,"base":10}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1296,"base":10},"right_expr":{"type":"numeric_atoms","value":3664,"base":10}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1011,"base":10}}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1580,"base":10},"right_expr":{"type":"numeric_atoms","value":7870,"base":10}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2904,"base":10},"right_expr":{"type":"numeric_atoms","value":3497,"base":10}}}}},"used_operators":["B5M0gjZbta","5KTvxBwnZo","diKm42VcIt","4JB6nKBMSY","7t3wd0Fuz7","HnzytWxmAO","Eev2Q7dYIw","U4ylXWHChL","ddLRYrp01A","KPf6cnQVty","6o9Blt3TJ6"],"dependent_operators":["rGHVDoGpnC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","sdazOOVcIp","NTOWxs364D","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=3030, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=12214","layer":3},{"info":"compute unary expreesion, input=12214, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-815808","layer":2},{"info":"number node, value=1296","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=3664, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-2308","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2308, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-815808, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"number node, value=1580","layer":4},{"info":"number node, value=7870","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=7870, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2904","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=3497, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2871","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2871, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-2871","layer":2},{"info":"compute unary expreesion, input=-2871, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1090⇴⊺⇮3030⇉⇉)≒∊(⊺⇮1296⇴∐⊺⇮3664)⋥⋵⩄(⊺⇮1011⊜))↬(⫖→⊺⇮1580∺≝⩲⊺⇮7870∊∟⩊(⊺⇮2904⫰⋱⊺⇮3497))=NaN","reverse_text":"NaN=((⊺⇮1090⇴⊺⇮3030⇉⇉)≒∊(⊺⇮1296⇴∐⊺⇮3664)⋥⋵⩄(⊺⇮1011⊜))↬(⫖→⊺⇮1580∺≝⩲⊺⇮7870∊∟⩊(⊺⇮2904⫰⋱⊺⇮3497))","cot":[{"info":"⊺⇮1090⇴⊺⇮3030=⊺⇮12214","layer":3},{"info":"⊺⇮12214⇉⇉=⊺⇮-815808","layer":2},{"info":"⊺⇮1296⇴∐⊺⇮3664=NaN","layer":3},{"info":"⊺⇮1011⊜=⊺⇮-2308","layer":3},{"info":"NaN⋥⋵⩄⊺⇮-2308=NaN","layer":2},{"info":"⊺⇮-815808≒∊NaN=NaN","layer":1},{"info":"⊺⇮1580∺≝⩲⊺⇮7870=⊺⇮160","layer":3},{"info":"⊺⇮2904⫰⋱⊺⇮3497=⊺⇮-2871","layer":3},{"info":"⊺⇮160∊∟⩊⊺⇮-2871=⊺⇮-2871","layer":2},{"info":"⫖→⊺⇮-2871=⊺⇮177","layer":1},{"info":"NaN↬⊺⇮177=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"(($5306$⪟⇏$5736$⊫∞)⨔≚≋($3135$⊲⩕⊾$1047$⪛⫼$2364$⨻⩈⩔$3748$))≦↸((↑($4933$∋$4494$))⪶≀⋏($6471$⋥⋵⩄$1645$≭$1837$⪥$2677$))","expression":"((⊺⇮5306⪟⇏⊺⇮5736⊫∞)⨔≚≋(⊺⇮3135⊲⩕⊾⊺⇮1047⪛⫼⊺⇮2364⨻⩈⩔⊺⇮3748))≦↸((↑(⊺⇮4933∋⊺⇮4494))⪶≀⋏(⊺⇮6471⋥⋵⩄⊺⇮1645≭⊺⇮1837⪥⊺⇮2677))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24780,"operation_count":13,"complexity_ratio":1906.1538461538462,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5306,"base":10},"right_expr":{"type":"numeric_atoms","value":5736,"base":10}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3135,"base":10},"right_expr":{"type":"numeric_atoms","value":1047,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2364,"base":10},"right_expr":{"type":"numeric_atoms","value":3748,"base":10}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4933,"base":10},"right_expr":{"type":"numeric_atoms","value":4494,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":6471,"base":10},"right_expr":{"type":"numeric_atoms","value":1645,"base":10}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1837,"base":10},"right_expr":{"type":"numeric_atoms","value":2677,"base":10}}}}},"used_operators":["RygbFNSyEJ","Z57zeUYC9z","pABnYW3G3E","GODebY97qR","hyuBjUqXlG","DmTXOeWf9t","nEsXyWgiOK","zR4jO40bMj","tR7O2zTn5j","ukq6epAj5P","rxpJgHHUmx","7t3wd0Fuz7","QbnwKVWMIQ"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","AHs5Up7iyr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5306","layer":4},{"info":"number node, value=5736","layer":4},{"info":"compute binary expreesion, left_input=5306, right_input=5736, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=3135","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=1047, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-57260","layer":3},{"info":"number node, value=2364","layer":4},{"info":"number node, value=3748","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=3748, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10511","layer":3},{"info":"compute binary expreesion, left_input=-57260, right_input=10511, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=968, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-10504","layer":1},{"info":"number node, value=4933","layer":4},{"info":"number node, value=4494","layer":4},{"info":"compute binary expreesion, left_input=4933, right_input=4494, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=9514412","layer":3},{"info":"compute unary expreesion, input=9514412, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=6471","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=6471, right_input=1645, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1837","layer":4},{"info":"number node, value=2677","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=2677, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12000","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=12000, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10504, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5306⪟⇏⊺⇮5736⊫∞)⨔≚≋(⊺⇮3135⊲⩕⊾⊺⇮1047⪛⫼⊺⇮2364⨻⩈⩔⊺⇮3748))≦↸((↑(⊺⇮4933∋⊺⇮4494))⪶≀⋏(⊺⇮6471⋥⋵⩄⊺⇮1645≭⊺⇮1837⪥⊺⇮2677))=NaN","reverse_text":"NaN=((⊺⇮5306⪟⇏⊺⇮5736⊫∞)⨔≚≋(⊺⇮3135⊲⩕⊾⊺⇮1047⪛⫼⊺⇮2364⨻⩈⩔⊺⇮3748))≦↸((↑(⊺⇮4933∋⊺⇮4494))⪶≀⋏(⊺⇮6471⋥⋵⩄⊺⇮1645≭⊺⇮1837⪥⊺⇮2677))","cot":[{"info":"⊺⇮5306⪟⇏⊺⇮5736=⊺⇮-1","layer":3},{"info":"⊺⇮-1⊫∞=⊺⇮0","layer":2},{"info":"⊺⇮3135⊲⩕⊾⊺⇮1047=⊺⇮-57260","layer":3},{"info":"⊺⇮2364⨻⩈⩔⊺⇮3748=⊺⇮10511","layer":3},{"info":"⊺⇮-57260⪛⫼⊺⇮10511=⊺⇮968","layer":2},{"info":"⊺⇮0⨔≚≋⊺⇮968=⊺⇮-10504","layer":1},{"info":"⊺⇮4933∋⊺⇮4494=⊺⇮9514412","layer":3},{"info":"↑⊺⇮9514412=⊺⇮192","layer":2},{"info":"⊺⇮6471⋥⋵⩄⊺⇮1645=⊺⇮113","layer":3},{"info":"⊺⇮1837⪥⊺⇮2677=⊺⇮12000","layer":3},{"info":"⊺⇮113≭⊺⇮12000=NaN","layer":2},{"info":"⊺⇮192⪶≀⋏NaN=NaN","layer":1},{"info":"⊺⇮-10504≦↸NaN=NaN","layer":0}]}
{"id":426,"expression_no_base_symbol":"⪲⇎((⇋↷($1469$+⇶⊼$1051$))⇔⨋)","expression":"⪲⇎((⇋↷(⊺⇮1469+⇶⊼⊺⇮1051))⇔⨋)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":38,"operation_count":4,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1469,"base":10},"right_expr":{"type":"numeric_atoms","value":1051,"base":10}}}}},"used_operators":["XPYlsWDdGa","uBihLCJcMX","SWo3A1KBJH","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1469","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=1051, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⪲⇎((⇋↷(⊺⇮1469+⇶⊼⊺⇮1051))⇔⨋)=NaN","reverse_text":"NaN=⪲⇎((⇋↷(⊺⇮1469+⇶⊼⊺⇮1051))⇔⨋)","cot":[{"info":"⊺⇮1469+⇶⊼⊺⇮1051=NaN","layer":3},{"info":"⇋↷NaN=NaN","layer":2},{"info":"NaN⇔⨋=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"($1016$↢$1465$∼($3970$⪃↞⩐)⊉≛↸($1937$⇴$7723$⋘⨑⨽))⨽∌(≀↧⇸$4971$⪟⇏$1343$⊝⪿⪼$2971$⩖⊿$1308$)","expression":"(⊺⇮1016↢⊺⇮1465∼(⊺⇮3970⪃↞⩐)⊉≛↸(⊺⇮1937⇴⊺⇮7723⋘⨑⨽))⨽∌(≀↧⇸⊺⇮4971⪟⇏⊺⇮1343⊝⪿⪼⊺⇮2971⩖⊿⊺⇮1308)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":901,"operation_count":11,"complexity_ratio":81.9090909090909,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1016,"base":10},"right_expr":{"type":"numeric_atoms","value":1465,"base":10}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":3970,"base":10}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1937,"base":10},"right_expr":{"type":"numeric_atoms","value":7723,"base":10}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4971,"base":10},"right_expr":{"type":"numeric_atoms","value":1343,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2971,"base":10},"right_expr":{"type":"numeric_atoms","value":1308,"base":10}}}}},"used_operators":["9samAPKr6k","DZ8iAZOCBD","DyGG3AbaNP","WR6HLWljOP","grXIztHqDa","WmT3o8z6ya","4JB6nKBMSY","ljTHtUsqzn","3Oe9XWJUTD","GODebY97qR","RZ5CV9rWsJ"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","XPYlsWDdGa","23Mk6UjR3U","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1465, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=532","layer":3},{"info":"number node, value=3970","layer":4},{"info":"compute unary expreesion, input=3970, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=24126","layer":3},{"info":"compute binary expreesion, left_input=532, right_input=24126, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1937","layer":4},{"info":"number node, value=7723","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=7723, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=26682","layer":3},{"info":"compute unary expreesion, input=26682, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=134193","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=134193, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=4971","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=4971, right_input=1343, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2971","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=1308, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-1502","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-1502, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=12835","layer":2},{"info":"compute unary expreesion, input=12835, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=25670","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=25670, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1016↢⊺⇮1465∼(⊺⇮3970⪃↞⩐)⊉≛↸(⊺⇮1937⇴⊺⇮7723⋘⨑⨽))⨽∌(≀↧⇸⊺⇮4971⪟⇏⊺⇮1343⊝⪿⪼⊺⇮2971⩖⊿⊺⇮1308)=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮1016↢⊺⇮1465∼(⊺⇮3970⪃↞⩐)⊉≛↸(⊺⇮1937⇴⊺⇮7723⋘⨑⨽))⨽∌(≀↧⇸⊺⇮4971⪟⇏⊺⇮1343⊝⪿⪼⊺⇮2971⩖⊿⊺⇮1308)","cot":[{"info":"⊺⇮1016↢⊺⇮1465=⊺⇮532","layer":3},{"info":"⊺⇮3970⪃↞⩐=⊺⇮24126","layer":3},{"info":"⊺⇮532∼⊺⇮24126=NaN","layer":2},{"info":"⊺⇮1937⇴⊺⇮7723=⊺⇮26682","layer":3},{"info":"⊺⇮26682⋘⨑⨽=⊺⇮134193","layer":2},{"info":"NaN⊉≛↸⊺⇮134193=NaN","layer":1},{"info":"⊺⇮4971⪟⇏⊺⇮1343=⊺⇮-1","layer":3},{"info":"⊺⇮2971⩖⊿⊺⇮1308=⊺⇮-1502","layer":3},{"info":"⊺⇮-1⊝⪿⪼⊺⇮-1502=⊺⇮12835","layer":2},{"info":"≀↧⇸⊺⇮12835=⊺⇮25670","layer":1},{"info":"NaN⨽∌⊺⇮25670=⊺⇮0","layer":0}]}
{"id":428,"expression_no_base_symbol":"($1566$⊲⩕⊾$1017$⪁$2378$⩚⊴⇥$4407$)⩘($1059$≧⫂∧$1255$⋥≓≎(∨∊⋏$5513$))⇄(($2602$↬$3412$⨑≵⋬$1021$↺$1220$)≥⨤⩑(⋎⨆$1629$≧⫂∧$3544$))","expression":"(⊺⇮1566⊲⩕⊾⊺⇮1017⪁⊺⇮2378⩚⊴⇥⊺⇮4407)⩘(⊺⇮1059≧⫂∧⊺⇮1255⋥≓≎(∨∊⋏⊺⇮5513))⇄((⊺⇮2602↬⊺⇮3412⨑≵⋬⊺⇮1021↺⊺⇮1220)≥⨤⩑(⋎⨆⊺⇮1629≧⫂∧⊺⇮3544))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":39035,"operation_count":14,"complexity_ratio":2788.214285714286,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1566,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2378,"base":10},"right_expr":{"type":"numeric_atoms","value":4407,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1059,"base":10},"right_expr":{"type":"numeric_atoms","value":1255,"base":10}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":5513,"base":10}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2602,"base":10},"right_expr":{"type":"numeric_atoms","value":3412,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1021,"base":10},"right_expr":{"type":"numeric_atoms","value":1220,"base":10}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1629,"base":10},"right_expr":{"type":"numeric_atoms","value":3544,"base":10}}}}},"used_operators":["3EYGwJThht","cHh1gJQ2o6","I7sXao9hZE","DmTXOeWf9t","NTOWxs364D","Qy55tPpLXF","Ph9nP6C5qx","R5aXW34M0v","gJLn6v0xnP","XnXgA4xnOs","B5M0gjZbta","7j4O788W3g","E64sFOc4tB"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"⊺⇮-750","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1566","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=1017, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-31856","layer":3},{"info":"number node, value=2378","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=2378, right_input=4407, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6906","layer":3},{"info":"compute binary expreesion, left_input=-31856, right_input=-6906, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1059","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1255, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=782","layer":3},{"info":"number node, value=5513","layer":4},{"info":"compute unary expreesion, input=5513, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=119111","layer":3},{"info":"compute binary expreesion, left_input=782, right_input=119111, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=237473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=237473, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=2602","layer":4},{"info":"number node, value=3412","layer":4},{"info":"compute binary expreesion, left_input=2602, right_input=3412, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1220, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1220","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1220, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"number node, value=1629","layer":4},{"info":"number node, value=3544","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=3544, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3071","layer":3},{"info":"compute unary expreesion, input=3071, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1234, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-750","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1566⊲⩕⊾⊺⇮1017⪁⊺⇮2378⩚⊴⇥⊺⇮4407)⩘(⊺⇮1059≧⫂∧⊺⇮1255⋥≓≎(∨∊⋏⊺⇮5513))⇄((⊺⇮2602↬⊺⇮3412⨑≵⋬⊺⇮1021↺⊺⇮1220)≥⨤⩑(⋎⨆⊺⇮1629≧⫂∧⊺⇮3544))=⊺⇮-750","reverse_text":"⊺⇮-750=(⊺⇮1566⊲⩕⊾⊺⇮1017⪁⊺⇮2378⩚⊴⇥⊺⇮4407)⩘(⊺⇮1059≧⫂∧⊺⇮1255⋥≓≎(∨∊⋏⊺⇮5513))⇄((⊺⇮2602↬⊺⇮3412⨑≵⋬⊺⇮1021↺⊺⇮1220)≥⨤⩑(⋎⨆⊺⇮1629≧⫂∧⊺⇮3544))","cot":[{"info":"⊺⇮1566⊲⩕⊾⊺⇮1017=⊺⇮-31856","layer":3},{"info":"⊺⇮2378⩚⊴⇥⊺⇮4407=⊺⇮-6906","layer":3},{"info":"⊺⇮-31856⪁⊺⇮-6906=NaN","layer":2},{"info":"⊺⇮1059≧⫂∧⊺⇮1255=⊺⇮782","layer":3},{"info":"∨∊⋏⊺⇮5513=⊺⇮119111","layer":3},{"info":"⊺⇮782⋥≓≎⊺⇮119111=⊺⇮237473","layer":2},{"info":"NaN⩘⊺⇮237473=⊺⇮160","layer":1},{"info":"⊺⇮2602↬⊺⇮3412=NaN","layer":3},{"info":"⊺⇮1021↺⊺⇮1220=⊺⇮1220","layer":3},{"info":"NaN⨑≵⋬⊺⇮1220=NaN","layer":2},{"info":"⊺⇮1629≧⫂∧⊺⇮3544=⊺⇮3071","layer":3},{"info":"⋎⨆⊺⇮3071=⊺⇮0","layer":2},{"info":"NaN≥⨤⩑⊺⇮0=⊺⇮1234","layer":1},{"info":"⊺⇮160⇄⊺⇮1234=⊺⇮-750","layer":0}]}
{"id":429,"expression_no_base_symbol":"(($2327$⩵∡$1373$)⪢($1562$≎⊠⪸$2772$))⊕∕((∥⊫$4802$)⩵∡($2240$⫭))⪡(($3473$⇼⇔∾$3891$)⨔⇊($5711$⩌⋺$6317$)⊢)","expression":"((⊺⇮2327⩵∡⊺⇮1373)⪢(⊺⇮1562≎⊠⪸⊺⇮2772))⊕∕((∥⊫⊺⇮4802)⩵∡(⊺⇮2240⫭))⪡((⊺⇮3473⇼⇔∾⊺⇮3891)⨔⇊(⊺⇮5711⩌⋺⊺⇮6317)⊢)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":404527,"operation_count":12,"complexity_ratio":33710.583333333336,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2327,"base":10},"right_expr":{"type":"numeric_atoms","value":1373,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1562,"base":10},"right_expr":{"type":"numeric_atoms","value":2772,"base":10}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4802,"base":10}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2240,"base":10}}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3473,"base":10},"right_expr":{"type":"numeric_atoms","value":3891,"base":10}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5711,"base":10},"right_expr":{"type":"numeric_atoms","value":6317,"base":10}}}}},"used_operators":["oraRL2iQuh","9cloC0Ngie","dWAJyo7jo9","Y7wcNGrDQJ","bJkvcejdHO","P8v4zCKN1o","t4WUHVGj7f","40aOVDgCDB","JclMnS0uGI","tifHPKVTfV","g7Hmc5v1ko"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","k8jYdgA6NY","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2327","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=1373, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3402","layer":3},{"info":"number node, value=1562","layer":4},{"info":"number node, value=2772","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=2772, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=404085","layer":3},{"info":"compute binary expreesion, left_input=-3402, right_input=404085, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4802","layer":4},{"info":"compute unary expreesion, input=4802, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5670","layer":3},{"info":"number node, value=2240","layer":4},{"info":"compute unary expreesion, input=2240, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=6961","layer":3},{"info":"compute binary expreesion, left_input=5670, right_input=6961, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4500, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"number node, value=3473","layer":4},{"info":"number node, value=3891","layer":4},{"info":"compute binary expreesion, left_input=3473, right_input=3891, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=418","layer":3},{"info":"number node, value=5711","layer":4},{"info":"number node, value=6317","layer":4},{"info":"compute binary expreesion, left_input=5711, right_input=6317, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-12149","layer":3},{"info":"compute binary expreesion, left_input=418, right_input=-12149, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2327⩵∡⊺⇮1373)⪢(⊺⇮1562≎⊠⪸⊺⇮2772))⊕∕((∥⊫⊺⇮4802)⩵∡(⊺⇮2240⫭))⪡((⊺⇮3473⇼⇔∾⊺⇮3891)⨔⇊(⊺⇮5711⩌⋺⊺⇮6317)⊢)=NaN","reverse_text":"NaN=((⊺⇮2327⩵∡⊺⇮1373)⪢(⊺⇮1562≎⊠⪸⊺⇮2772))⊕∕((∥⊫⊺⇮4802)⩵∡(⊺⇮2240⫭))⪡((⊺⇮3473⇼⇔∾⊺⇮3891)⨔⇊(⊺⇮5711⩌⋺⊺⇮6317)⊢)","cot":[{"info":"⊺⇮2327⩵∡⊺⇮1373=⊺⇮-3402","layer":3},{"info":"⊺⇮1562≎⊠⪸⊺⇮2772=⊺⇮404085","layer":3},{"info":"⊺⇮-3402⪢⊺⇮404085=NaN","layer":2},{"info":"∥⊫⊺⇮4802=⊺⇮5670","layer":3},{"info":"⊺⇮2240⫭=⊺⇮6961","layer":3},{"info":"⊺⇮5670⩵∡⊺⇮6961=⊺⇮-4500","layer":2},{"info":"NaN⊕∕⊺⇮-4500=NaN","layer":1},{"info":"⊺⇮3473⇼⇔∾⊺⇮3891=⊺⇮418","layer":3},{"info":"⊺⇮5711⩌⋺⊺⇮6317=⊺⇮-12149","layer":3},{"info":"⊺⇮418⨔⇊⊺⇮-12149=⊺⇮67","layer":2},{"info":"⊺⇮67⊢=⊺⇮67","layer":1},{"info":"NaN⪡⊺⇮67=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"($4135$∳⫺$7667$+($8129$⫿))⇼⇔∾(↞≼$5241$)⨽∌(↪⫪⫘$8542$)⊉≛↸(⫖→$8419$)⨼⩣(≇⪴$2236$)⩺⪪(⊄⩳↩$4361$)⫞⩸⩒(⇋↷$2045$)","expression":"(⊺⇮4135∳⫺⊺⇮7667+(⊺⇮8129⫿))⇼⇔∾(↞≼⊺⇮5241)⨽∌(↪⫪⫘⊺⇮8542)⊉≛↸(⫖→⊺⇮8419)⨼⩣(≇⪴⊺⇮2236)⩺⪪(⊄⩳↩⊺⇮4361)⫞⩸⩒(⇋↷⊺⇮2045)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":25723,"operation_count":15,"complexity_ratio":1714.8666666666666,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4135,"base":10},"right_expr":{"type":"numeric_atoms","value":7667,"base":10}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":8129,"base":10}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":5241,"base":10}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":8542,"base":10}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":8419,"base":10}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2236,"base":10}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4361,"base":10}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2045,"base":10}}}}},"used_operators":["DZ8iAZOCBD","tifHPKVTfV","W4YGzv6Whe","AzXXKTstlj","9tKT6PmtkH","9samAPKr6k","DE7zCoGJt9","9dWsAM3GFt","uvdQJvN4PV","JxwMv5le6e","U4ylXWHChL","zoVPnxeHJ3","XGcMNugi78","8w2t5hMYqp","SWo3A1KBJH"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4135","layer":4},{"info":"number node, value=7667","layer":4},{"info":"compute binary expreesion, left_input=4135, right_input=7667, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=8129","layer":4},{"info":"compute unary expreesion, input=8129, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=8129","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=8129, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7869","layer":2},{"info":"number node, value=5241","layer":4},{"info":"compute unary expreesion, input=5241, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=41514","layer":3},{"info":"number node, value=8542","layer":4},{"info":"compute unary expreesion, input=8542, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=41514, right_input=20, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=7869, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7869","layer":1},{"info":"number node, value=8419","layer":4},{"info":"compute unary expreesion, input=8419, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=2236","layer":4},{"info":"compute unary expreesion, input=2236, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5368","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-5368, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=4361","layer":4},{"info":"compute unary expreesion, input=4361, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13083","layer":3},{"info":"number node, value=2045","layer":4},{"info":"compute unary expreesion, input=2045, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=16360","layer":3},{"info":"compute binary expreesion, left_input=-13083, right_input=16360, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-13083","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13083, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7869, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4135∳⫺⊺⇮7667+(⊺⇮8129⫿))⇼⇔∾(↞≼⊺⇮5241)⨽∌(↪⫪⫘⊺⇮8542)⊉≛↸(⫖→⊺⇮8419)⨼⩣(≇⪴⊺⇮2236)⩺⪪(⊄⩳↩⊺⇮4361)⫞⩸⩒(⇋↷⊺⇮2045)=NaN","reverse_text":"NaN=(⊺⇮4135∳⫺⊺⇮7667+(⊺⇮8129⫿))⇼⇔∾(↞≼⊺⇮5241)⨽∌(↪⫪⫘⊺⇮8542)⊉≛↸(⫖→⊺⇮8419)⨼⩣(≇⪴⊺⇮2236)⩺⪪(⊄⩳↩⊺⇮4361)⫞⩸⩒(⇋↷⊺⇮2045)","cot":[{"info":"⊺⇮4135∳⫺⊺⇮7667=⊺⇮-260","layer":3},{"info":"⊺⇮8129⫿=⊺⇮8129","layer":3},{"info":"⊺⇮-260+⊺⇮8129=⊺⇮7869","layer":2},{"info":"↞≼⊺⇮5241=⊺⇮41514","layer":3},{"info":"↪⫪⫘⊺⇮8542=⊺⇮20","layer":3},{"info":"⊺⇮41514⨽∌⊺⇮20=⊺⇮0","layer":2},{"info":"⊺⇮7869⇼⇔∾⊺⇮0=⊺⇮-7869","layer":1},{"info":"⫖→⊺⇮8419=⊺⇮177","layer":3},{"info":"≇⪴⊺⇮2236=⊺⇮-5368","layer":3},{"info":"⊺⇮177⨼⩣⊺⇮-5368=NaN","layer":2},{"info":"⊄⩳↩⊺⇮4361=⊺⇮-13083","layer":3},{"info":"⇋↷⊺⇮2045=⊺⇮16360","layer":3},{"info":"⊺⇮-13083⫞⩸⩒⊺⇮16360=⊺⇮-13083","layer":2},{"info":"NaN⩺⪪⊺⇮-13083=NaN","layer":1},{"info":"⊺⇮-7869⊉≛↸NaN=NaN","layer":0}]}
{"id":431,"expression_no_base_symbol":"($2954$⇤$8486$⋅⇍$3037$⊋$4232$∷(↥$2198$)⩵∡$7782$⊬⨰$5884$)≒∊($7802$∇⊂⋱$2193$⫭)⨐(⊄⩳↩$2211$⇍⊗$2999$)","expression":"(⊺⇮2954⇤⊺⇮8486⋅⇍⊺⇮3037⊋⊺⇮4232∷(↥⊺⇮2198)⩵∡⊺⇮7782⊬⨰⊺⇮5884)≒∊(⊺⇮7802∇⊂⋱⊺⇮2193⫭)⨐(⊄⩳↩⊺⇮2211⇍⊗⊺⇮2999)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2511,"operation_count":13,"complexity_ratio":193.15384615384616,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2954,"base":10},"right_expr":{"type":"numeric_atoms","value":8486,"base":10}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3037,"base":10},"right_expr":{"type":"numeric_atoms","value":4232,"base":10}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2198,"base":10}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":7782,"base":10},"right_expr":{"type":"numeric_atoms","value":5884,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7802,"base":10},"right_expr":{"type":"numeric_atoms","value":2193,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2211,"base":10},"right_expr":{"type":"numeric_atoms","value":2999,"base":10}}}}},"used_operators":["5KTvxBwnZo","D3AQDKkPcf","AdZkA7nFnk","YSKBFp38Pu","W4tP9CfskL","Y7wcNGrDQJ","A8NUZmVepG","s3Fd5m9Dh2","Noe24qw2ks","t4WUHVGj7f","nhYeJWJD5X","8w2t5hMYqp","5uvYHDjeKN"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","NTOWxs364D","7j4O788W3g","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","glklzrTFfD","tifHPKVTfV","k8jYdgA6NY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⊺⇮-29642","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2954","layer":4},{"info":"number node, value=8486","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=8486, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-54352","layer":3},{"info":"number node, value=3037","layer":4},{"info":"number node, value=4232","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=4232, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-38393072","layer":3},{"info":"compute binary expreesion, left_input=-54352, right_input=-38393072, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=53779","layer":2},{"info":"number node, value=2198","layer":4},{"info":"compute unary expreesion, input=2198, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":3},{"info":"number node, value=7782","layer":4},{"info":"number node, value=5884","layer":4},{"info":"compute binary expreesion, left_input=7782, right_input=5884, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=30262","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=30262, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=30126","layer":2},{"info":"compute binary expreesion, left_input=53779, right_input=30126, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=30126","layer":1},{"info":"number node, value=7802","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=7802, right_input=2193, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=15058","layer":3},{"info":"compute unary expreesion, input=15058, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=45415","layer":2},{"info":"number node, value=2211","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=2999, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=732","layer":2},{"info":"compute binary expreesion, left_input=45415, right_input=732, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-90830","layer":1},{"info":"compute binary expreesion, left_input=30126, right_input=-90830, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-29642","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2954⇤⊺⇮8486⋅⇍⊺⇮3037⊋⊺⇮4232∷(↥⊺⇮2198)⩵∡⊺⇮7782⊬⨰⊺⇮5884)≒∊(⊺⇮7802∇⊂⋱⊺⇮2193⫭)⨐(⊄⩳↩⊺⇮2211⇍⊗⊺⇮2999)=⊺⇮-29642","reverse_text":"⊺⇮-29642=(⊺⇮2954⇤⊺⇮8486⋅⇍⊺⇮3037⊋⊺⇮4232∷(↥⊺⇮2198)⩵∡⊺⇮7782⊬⨰⊺⇮5884)≒∊(⊺⇮7802∇⊂⋱⊺⇮2193⫭)⨐(⊄⩳↩⊺⇮2211⇍⊗⊺⇮2999)","cot":[{"info":"⊺⇮2954⇤⊺⇮8486=⊺⇮-54352","layer":3},{"info":"⊺⇮3037⊋⊺⇮4232=⊺⇮-38393072","layer":3},{"info":"⊺⇮-54352⋅⇍⊺⇮-38393072=⊺⇮53779","layer":2},{"info":"↥⊺⇮2198=⊺⇮5","layer":3},{"info":"⊺⇮7782⊬⨰⊺⇮5884=⊺⇮30262","layer":3},{"info":"⊺⇮5⩵∡⊺⇮30262=⊺⇮30126","layer":2},{"info":"⊺⇮53779∷⊺⇮30126=⊺⇮30126","layer":1},{"info":"⊺⇮7802∇⊂⋱⊺⇮2193=⊺⇮15058","layer":3},{"info":"⊺⇮15058⫭=⊺⇮45415","layer":2},{"info":"⊺⇮2211⇍⊗⊺⇮2999=⊺⇮-244","layer":3},{"info":"⊄⩳↩⊺⇮-244=⊺⇮732","layer":2},{"info":"⊺⇮45415⨐⊺⇮732=⊺⇮-90830","layer":1},{"info":"⊺⇮30126≒∊⊺⇮-90830=⊺⇮-29642","layer":0}]}
{"id":432,"expression_no_base_symbol":"(($2089$⋥≓≎$3604$)⪮%⊝($2346$⪛$7783$)⋭≵$1923$⩦$4704$⨭⪣($1113$⊭↱$3924$))⇚⪠","expression":"((⊺⇮2089⋥≓≎⊺⇮3604)⪮%⊝(⊺⇮2346⪛⊺⇮7783)⋭≵⊺⇮1923⩦⊺⇮4704⨭⪣(⊺⇮1113⊭↱⊺⇮3924))⇚⪠","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":211,"operation_count":8,"complexity_ratio":26.375,"tree":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2089,"base":10},"right_expr":{"type":"numeric_atoms","value":3604,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2346,"base":10},"right_expr":{"type":"numeric_atoms","value":7783,"base":10}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1923,"base":10},"right_expr":{"type":"numeric_atoms","value":4704,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1113,"base":10},"right_expr":{"type":"numeric_atoms","value":3924,"base":10}}}}},"used_operators":["Loh9y4A90B","jBncVCNhdl","IWmyXbctLI","Qy55tPpLXF","uFcxV4UQCh","kn8WO9XteQ","0kmYd0q39Y","COABgblf1C"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮20971","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2089","layer":4},{"info":"number node, value=3604","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=3604, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5152","layer":3},{"info":"number node, value=2346","layer":4},{"info":"number node, value=7783","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=7783, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2346","layer":3},{"info":"compute binary expreesion, left_input=5152, right_input=2346, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10620","layer":2},{"info":"number node, value=1923","layer":4},{"info":"number node, value=4704","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=4704, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3846","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=3924","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=3924, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5627","layer":3},{"info":"compute binary expreesion, left_input=3846, right_input=5627, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2567","layer":2},{"info":"compute binary expreesion, left_input=10620, right_input=2567, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=20971","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2089⋥≓≎⊺⇮3604)⪮%⊝(⊺⇮2346⪛⊺⇮7783)⋭≵⊺⇮1923⩦⊺⇮4704⨭⪣(⊺⇮1113⊭↱⊺⇮3924))⇚⪠=⊺⇮20971","reverse_text":"⊺⇮20971=((⊺⇮2089⋥≓≎⊺⇮3604)⪮%⊝(⊺⇮2346⪛⊺⇮7783)⋭≵⊺⇮1923⩦⊺⇮4704⨭⪣(⊺⇮1113⊭↱⊺⇮3924))⇚⪠","cot":[{"info":"⊺⇮2089⋥≓≎⊺⇮3604=⊺⇮5152","layer":3},{"info":"⊺⇮2346⪛⊺⇮7783=⊺⇮2346","layer":3},{"info":"⊺⇮5152⪮%⊝⊺⇮2346=⊺⇮10620","layer":2},{"info":"⊺⇮1923⩦⊺⇮4704=⊺⇮3846","layer":3},{"info":"⊺⇮1113⊭↱⊺⇮3924=⊺⇮5627","layer":3},{"info":"⊺⇮3846⨭⪣⊺⇮5627=⊺⇮2567","layer":2},{"info":"⊺⇮10620⋭≵⊺⇮2567=⊺⇮67","layer":1},{"info":"⊺⇮67⇚⪠=⊺⇮20971","layer":0}]}
{"id":433,"expression_no_base_symbol":"≋(≇⪴($2696$⩍⋽⫝̸$2734$⨭⪣(⇜⊴$4407$)))","expression":"≋(≇⪴(⊺⇮2696⩍⋽⫝̸⊺⇮2734⨭⪣(⇜⊴⊺⇮4407)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":125,"operation_count":5,"complexity_ratio":25.0,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2696,"base":10},"right_expr":{"type":"numeric_atoms","value":2734,"base":10}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":4407,"base":10}}}}},"used_operators":["61wBmkZwlr","zoVPnxeHJ3","kn8WO9XteQ","BiWNJpBvwn","XwDhCwWbUn"],"dependent_operators":["7j4O788W3g","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Ph9nP6C5qx","xUOZtlo3hN","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"⊺⇮-187","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2696","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=2734, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1788","layer":3},{"info":"number node, value=4407","layer":4},{"info":"compute unary expreesion, input=4407, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1026338","layer":3},{"info":"compute binary expreesion, left_input=1788, right_input=-1026338, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=509","layer":2},{"info":"compute unary expreesion, input=509, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-187","layer":1},{"info":"compute unary expreesion, input=-187, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-187","layer":0}],"base":10,"result_base":10,"text":"≋(≇⪴(⊺⇮2696⩍⋽⫝̸⊺⇮2734⨭⪣(⇜⊴⊺⇮4407)))=⊺⇮-187","reverse_text":"⊺⇮-187=≋(≇⪴(⊺⇮2696⩍⋽⫝̸⊺⇮2734⨭⪣(⇜⊴⊺⇮4407)))","cot":[{"info":"⊺⇮2696⩍⋽⫝̸⊺⇮2734=⊺⇮1788","layer":3},{"info":"⇜⊴⊺⇮4407=⊺⇮-1026338","layer":3},{"info":"⊺⇮1788⨭⪣⊺⇮-1026338=⊺⇮509","layer":2},{"info":"≇⪴⊺⇮509=⊺⇮-187","layer":1},{"info":"≋⊺⇮-187=⊺⇮-187","layer":0}]}
{"id":434,"expression_no_base_symbol":"⇙⪊(($4738$∷$4324$)≨$2293$∥⊢⊲$1841$↺$3478$⇡⇂$3756$⩍⋽⫝̸($1211$↬⩅∪))","expression":"⇙⪊((⊺⇮4738∷⊺⇮4324)≨⊺⇮2293∥⊢⊲⊺⇮1841↺⊺⇮3478⇡⇂⊺⇮3756⩍⋽⫝̸(⊺⇮1211↬⩅∪))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26286,"operation_count":8,"complexity_ratio":3285.75,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4738,"base":10},"right_expr":{"type":"numeric_atoms","value":4324,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2293,"base":10},"right_expr":{"type":"numeric_atoms","value":1841,"base":10}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3478,"base":10},"right_expr":{"type":"numeric_atoms","value":3756,"base":10}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1211,"base":10}}}}},"used_operators":["pB6Fcnrjim","7j4O788W3g","0KMCeP1Jsh","D3AQDKkPcf","v1UQAVDJRr","BiWNJpBvwn","UMwdvZNt44","VJ330n2nnx"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","EBcxylXtPf","rGHVDoGpnC","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4738","layer":4},{"info":"number node, value=4324","layer":4},{"info":"compute binary expreesion, left_input=4738, right_input=4324, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4324","layer":3},{"info":"number node, value=2293","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=1841, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4324, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-40764","layer":2},{"info":"number node, value=3478","layer":4},{"info":"number node, value=3756","layer":4},{"info":"compute binary expreesion, left_input=3478, right_input=3756, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1211","layer":4},{"info":"compute unary expreesion, input=1211, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-3633","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3633, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-40764, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇙⪊((⊺⇮4738∷⊺⇮4324)≨⊺⇮2293∥⊢⊲⊺⇮1841↺⊺⇮3478⇡⇂⊺⇮3756⩍⋽⫝̸(⊺⇮1211↬⩅∪))=NaN","reverse_text":"NaN=⇙⪊((⊺⇮4738∷⊺⇮4324)≨⊺⇮2293∥⊢⊲⊺⇮1841↺⊺⇮3478⇡⇂⊺⇮3756⩍⋽⫝̸(⊺⇮1211↬⩅∪))","cot":[{"info":"⊺⇮4738∷⊺⇮4324=⊺⇮4324","layer":3},{"info":"⊺⇮2293∥⊢⊲⊺⇮1841=NaN","layer":3},{"info":"⊺⇮4324≨NaN=⊺⇮-40764","layer":2},{"info":"⊺⇮3478⇡⇂⊺⇮3756=NaN","layer":3},{"info":"⊺⇮1211↬⩅∪=⊺⇮-3633","layer":3},{"info":"NaN⩍⋽⫝̸⊺⇮-3633=NaN","layer":2},{"info":"⊺⇮-40764↺NaN=NaN","layer":1},{"info":"⇙⪊NaN=NaN","layer":0}]}
{"id":435,"expression_no_base_symbol":"(($4021$⩒⫫$5540$)↦)⇤(($6564$⨁⊸⫻)⊭↱($1252$↱$1747$))⋥≓≎(↔$2816$⪝$9577$∴(⪭⩑⪱$3790$))","expression":"((⊺⇮4021⩒⫫⊺⇮5540)↦)⇤((⊺⇮6564⨁⊸⫻)⊭↱(⊺⇮1252↱⊺⇮1747))⋥≓≎(↔⊺⇮2816⪝⊺⇮9577∴(⪭⩑⪱⊺⇮3790))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":410189,"operation_count":11,"complexity_ratio":37289.90909090909,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4021,"base":10},"right_expr":{"type":"numeric_atoms","value":5540,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":6564,"base":10}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1252,"base":10},"right_expr":{"type":"numeric_atoms","value":1747,"base":10}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2816,"base":10},"right_expr":{"type":"numeric_atoms","value":9577,"base":10}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3790,"base":10}}}}},"used_operators":["Qy55tPpLXF","YSKBFp38Pu","fFznvYxMfW","KFSx94NKJn","COABgblf1C","glklzrTFfD","SR5kFfdi6N","ruOEQAzv1W","hrf7POJlIJ","wicAB68Tmb","SIgE0bArFf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4021","layer":4},{"info":"number node, value=5540","layer":4},{"info":"compute binary expreesion, left_input=4021, right_input=5540, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3719","layer":3},{"info":"compute unary expreesion, input=3719, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":2},{"info":"number node, value=6564","layer":4},{"info":"compute unary expreesion, input=6564, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6564","layer":3},{"info":"number node, value=1252","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=1747, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-4719","layer":3},{"info":"compute binary expreesion, left_input=6564, right_input=-4719, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-22561","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22561, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"number node, value=2816","layer":4},{"info":"number node, value=9577","layer":4},{"info":"compute binary expreesion, left_input=2816, right_input=9577, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=3790","layer":4},{"info":"compute unary expreesion, input=3790, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=8320752, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=2122","layer":2},{"info":"compute unary expreesion, input=2122, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1849","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1849, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4021⩒⫫⊺⇮5540)↦)⇤((⊺⇮6564⨁⊸⫻)⊭↱(⊺⇮1252↱⊺⇮1747))⋥≓≎(↔⊺⇮2816⪝⊺⇮9577∴(⪭⩑⪱⊺⇮3790))=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮4021⩒⫫⊺⇮5540)↦)⇤((⊺⇮6564⨁⊸⫻)⊭↱(⊺⇮1252↱⊺⇮1747))⋥≓≎(↔⊺⇮2816⪝⊺⇮9577∴(⪭⩑⪱⊺⇮3790))","cot":[{"info":"⊺⇮4021⩒⫫⊺⇮5540=⊺⇮3719","layer":3},{"info":"⊺⇮3719↦=NaN","layer":2},{"info":"⊺⇮6564⨁⊸⫻=⊺⇮6564","layer":3},{"info":"⊺⇮1252↱⊺⇮1747=⊺⇮-4719","layer":3},{"info":"⊺⇮6564⊭↱⊺⇮-4719=⊺⇮-22561","layer":2},{"info":"NaN⇤⊺⇮-22561=NaN","layer":1},{"info":"⊺⇮2816⪝⊺⇮9577=⊺⇮237","layer":3},{"info":"⪭⩑⪱⊺⇮3790=⊺⇮8320752","layer":3},{"info":"⊺⇮237∴⊺⇮8320752=⊺⇮2122","layer":2},{"info":"↔⊺⇮2122=⊺⇮-1849","layer":1},{"info":"NaN⋥≓≎⊺⇮-1849=⊺⇮67","layer":0}]}
{"id":436,"expression_no_base_symbol":"((↡$2614$)↢($2355$⩤)⫩⊇)⫁⪎((⊵⊁(⋠∜$3750$))⫔⩽⩺(($3293$⇡)⨵⪆($1286$∪⫐$6427$)))","expression":"((↡⊺⇮2614)↢(⊺⇮2355⩤)⫩⊇)⫁⪎((⊵⊁(⋠∜⊺⇮3750))⫔⩽⩺((⊺⇮3293⇡)⨵⪆(⊺⇮1286∪⫐⊺⇮6427)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28271,"operation_count":11,"complexity_ratio":2570.090909090909,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2614,"base":10}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2355,"base":10}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":3750,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":3293,"base":10}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1286,"base":10},"right_expr":{"type":"numeric_atoms","value":6427,"base":10}}}}},"used_operators":["xRrnTEsQ6j","BjRHVeLaeN","WR6HLWljOP","MXaNJeIAZ3","Z2TMIBDE3Q","i9eR4S00cU","AvED76WdY7","ZJpFhNJr3x","2DQ55sFlQl","UqFzSgLMvQ","7YooWSwCyH"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","uBihLCJcMX","k8jYdgA6NY","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2614","layer":4},{"info":"compute unary expreesion, input=2614, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=23526","layer":3},{"info":"number node, value=2355","layer":4},{"info":"compute unary expreesion, input=2355, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2355","layer":3},{"info":"compute binary expreesion, left_input=23526, right_input=-2355, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=23042","layer":2},{"info":"compute unary expreesion, input=23042, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-23000","layer":1},{"info":"number node, value=3750","layer":4},{"info":"compute unary expreesion, input=3750, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=17284","layer":3},{"info":"compute unary expreesion, input=17284, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=102634","layer":2},{"info":"number node, value=3293","layer":4},{"info":"compute unary expreesion, input=3293, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=1286","layer":4},{"info":"number node, value=6427","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=6427, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1286","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=1286, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=102634, right_input=160, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-23000, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↡⊺⇮2614)↢(⊺⇮2355⩤)⫩⊇)⫁⪎((⊵⊁(⋠∜⊺⇮3750))⫔⩽⩺((⊺⇮3293⇡)⨵⪆(⊺⇮1286∪⫐⊺⇮6427)))=NaN","reverse_text":"NaN=((↡⊺⇮2614)↢(⊺⇮2355⩤)⫩⊇)⫁⪎((⊵⊁(⋠∜⊺⇮3750))⫔⩽⩺((⊺⇮3293⇡)⨵⪆(⊺⇮1286∪⫐⊺⇮6427)))","cot":[{"info":"↡⊺⇮2614=⊺⇮23526","layer":3},{"info":"⊺⇮2355⩤=⊺⇮-2355","layer":3},{"info":"⊺⇮23526↢⊺⇮-2355=⊺⇮23042","layer":2},{"info":"⊺⇮23042⫩⊇=⊺⇮-23000","layer":1},{"info":"⋠∜⊺⇮3750=⊺⇮17284","layer":3},{"info":"⊵⊁⊺⇮17284=⊺⇮102634","layer":2},{"info":"⊺⇮3293⇡=⊺⇮-2917","layer":3},{"info":"⊺⇮1286∪⫐⊺⇮6427=⊺⇮1286","layer":3},{"info":"⊺⇮-2917⨵⪆⊺⇮1286=⊺⇮160","layer":2},{"info":"⊺⇮102634⫔⩽⩺⊺⇮160=NaN","layer":1},{"info":"⊺⇮-23000⫁⪎NaN=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"(($5859$∘$1227$⨓$2203$⪚$2063$)⊋(↪⫪⫘($2970$⫒⫫$2847$)))⪔⊥(($1734$⪬∳)↬$1159$⪥$3527$⪛⫼($2976$⋻⩜⩜$3854$)⫉⨲⊜(⨛$5032$))","expression":"((⊺⇮5859∘⊺⇮1227⨓⊺⇮2203⪚⊺⇮2063)⊋(↪⫪⫘(⊺⇮2970⫒⫫⊺⇮2847)))⪔⊥((⊺⇮1734⪬∳)↬⊺⇮1159⪥⊺⇮3527⪛⫼(⊺⇮2976⋻⩜⩜⊺⇮3854)⫉⨲⊜(⨛⊺⇮5032))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":59646,"operation_count":14,"complexity_ratio":4260.428571428572,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5859,"base":10},"right_expr":{"type":"numeric_atoms","value":1227,"base":10}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2203,"base":10},"right_expr":{"type":"numeric_atoms","value":2063,"base":10}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2970,"base":10},"right_expr":{"type":"numeric_atoms","value":2847,"base":10}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1734,"base":10}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1159,"base":10},"right_expr":{"type":"numeric_atoms","value":3527,"base":10}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2976,"base":10},"right_expr":{"type":"numeric_atoms","value":3854,"base":10}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":5032,"base":10}}}}},"used_operators":["HJ9erzHUuu","W4tP9CfskL","3ViojmjbAp","Z5m6OM72h2","HrjLwUk87U","9dWsAM3GFt","6Ko8hGgeMq","hyuBjUqXlG","B5M0gjZbta","O9U3z1385E","QbnwKVWMIQ","WhqkvtTD3t","oDCm7WA9JY","CoMdbyAt7R"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rGHVDoGpnC","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eewbuw0ToL","zVYPLywUTj","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5859","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=5859, right_input=1227, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=11718","layer":3},{"info":"number node, value=2203","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=2063, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-76","layer":3},{"info":"compute binary expreesion, left_input=11718, right_input=-76, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=73","layer":2},{"info":"number node, value=2970","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=2847, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=73, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":1},{"info":"number node, value=1734","layer":4},{"info":"compute unary expreesion, input=1734, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=1159","layer":4},{"info":"number node, value=3527","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=3527, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9288","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=9288, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2976","layer":4},{"info":"number node, value=3854","layer":4},{"info":"compute binary expreesion, left_input=2976, right_input=3854, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5952","layer":3},{"info":"number node, value=5032","layer":4},{"info":"compute unary expreesion, input=5032, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5952, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5859∘⊺⇮1227⨓⊺⇮2203⪚⊺⇮2063)⊋(↪⫪⫘(⊺⇮2970⫒⫫⊺⇮2847)))⪔⊥((⊺⇮1734⪬∳)↬⊺⇮1159⪥⊺⇮3527⪛⫼(⊺⇮2976⋻⩜⩜⊺⇮3854)⫉⨲⊜(⨛⊺⇮5032))=NaN","reverse_text":"NaN=((⊺⇮5859∘⊺⇮1227⨓⊺⇮2203⪚⊺⇮2063)⊋(↪⫪⫘(⊺⇮2970⫒⫫⊺⇮2847)))⪔⊥((⊺⇮1734⪬∳)↬⊺⇮1159⪥⊺⇮3527⪛⫼(⊺⇮2976⋻⩜⩜⊺⇮3854)⫉⨲⊜(⨛⊺⇮5032))","cot":[{"info":"⊺⇮5859∘⊺⇮1227=⊺⇮11718","layer":3},{"info":"⊺⇮2203⪚⊺⇮2063=⊺⇮-76","layer":3},{"info":"⊺⇮11718⨓⊺⇮-76=⊺⇮73","layer":2},{"info":"⊺⇮2970⫒⫫⊺⇮2847=NaN","layer":3},{"info":"↪⫪⫘NaN=NaN","layer":2},{"info":"⊺⇮73⊋NaN=NaN","layer":1},{"info":"⊺⇮1734⪬∳=⊺⇮-709","layer":3},{"info":"⊺⇮1159⪥⊺⇮3527=⊺⇮9288","layer":3},{"info":"⊺⇮-709↬⊺⇮9288=NaN","layer":2},{"info":"⊺⇮2976⋻⩜⩜⊺⇮3854=⊺⇮5952","layer":3},{"info":"⨛⊺⇮5032=NaN","layer":3},{"info":"⊺⇮5952⫉⨲⊜NaN=⊺⇮0","layer":2},{"info":"NaN⪛⫼⊺⇮0=⊺⇮968","layer":1},{"info":"NaN⪔⊥⊺⇮968=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"((∨∊⋏$2273$)⪇≇⋚($2194$+⇶⊼$2186$))⊢(($1305$⫸⇳$5186$)≧⫂∧($2229$/$1101$))∼(⩒∊($1387$≹⇙⪍$2595$)∌($5639$⨔≚≋$1853$))","expression":"((∨∊⋏⊺⇮2273)⪇≇⋚(⊺⇮2194+⇶⊼⊺⇮2186))⊢((⊺⇮1305⫸⇳⊺⇮5186)≧⫂∧(⊺⇮2229/⊺⇮1101))∼(⩒∊(⊺⇮1387≹⇙⪍⊺⇮2595)∌(⊺⇮5639⨔≚≋⊺⇮1853))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":185,"operation_count":12,"complexity_ratio":15.416666666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2273,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2194,"base":10},"right_expr":{"type":"numeric_atoms","value":2186,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1305,"base":10},"right_expr":{"type":"numeric_atoms","value":5186,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2229,"base":10},"right_expr":{"type":"numeric_atoms","value":1101,"base":10}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1387,"base":10},"right_expr":{"type":"numeric_atoms","value":2595,"base":10}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":5639,"base":10},"right_expr":{"type":"numeric_atoms","value":1853,"base":10}}}}},"used_operators":["DyGG3AbaNP","5twsqlHp2o","3sJ7IOPOlU","R5aXW34M0v","TpPTUOHfaN","Ph9nP6C5qx","gx7XJ7hdpj","XhwjNDsVaA","qazvmhNBbN","8cLx32lpNA","AHs5Up7iyr","Z57zeUYC9z"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","dWAJyo7jo9","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2273","layer":4},{"info":"compute unary expreesion, input=2273, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=41351","layer":3},{"info":"number node, value=2194","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=2186, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=41351, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1305","layer":4},{"info":"number node, value=5186","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=5186, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2229","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=2229, right_input=1101, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-471","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-471, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":1},{"info":"number node, value=1387","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=2595, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5639","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=5639, right_input=1853, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-9872","layer":2},{"info":"compute unary expreesion, input=-9872, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-30889","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-30889, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∨∊⋏⊺⇮2273)⪇≇⋚(⊺⇮2194+⇶⊼⊺⇮2186))⊢((⊺⇮1305⫸⇳⊺⇮5186)≧⫂∧(⊺⇮2229/⊺⇮1101))∼(⩒∊(⊺⇮1387≹⇙⪍⊺⇮2595)∌(⊺⇮5639⨔≚≋⊺⇮1853))=NaN","reverse_text":"NaN=((∨∊⋏⊺⇮2273)⪇≇⋚(⊺⇮2194+⇶⊼⊺⇮2186))⊢((⊺⇮1305⫸⇳⊺⇮5186)≧⫂∧(⊺⇮2229/⊺⇮1101))∼(⩒∊(⊺⇮1387≹⇙⪍⊺⇮2595)∌(⊺⇮5639⨔≚≋⊺⇮1853))","cot":[{"info":"∨∊⋏⊺⇮2273=⊺⇮41351","layer":3},{"info":"⊺⇮2194+⇶⊼⊺⇮2186=NaN","layer":3},{"info":"⊺⇮41351⪇≇⋚NaN=⊺⇮0","layer":2},{"info":"⊺⇮1305⫸⇳⊺⇮5186=⊺⇮0","layer":3},{"info":"⊺⇮2229/⊺⇮1101=⊺⇮2","layer":3},{"info":"⊺⇮0≧⫂∧⊺⇮2=⊺⇮-471","layer":2},{"info":"⊺⇮0⊢⊺⇮-471=⊺⇮-244","layer":1},{"info":"⊺⇮1387≹⇙⪍⊺⇮2595=NaN","layer":3},{"info":"⊺⇮5639⨔≚≋⊺⇮1853=⊺⇮9872","layer":3},{"info":"NaN∌⊺⇮9872=⊺⇮-9872","layer":2},{"info":"⩒∊⊺⇮-9872=⊺⇮-30889","layer":1},{"info":"⊺⇮-244∼⊺⇮-30889=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"(($1365$≌$2784$⇼⇔∾$2433$≳⇉$4894$)⊕∕($5209$∌↝$3532$≀⫉(≇⪴$5274$)))⪃⊛⇣(((≪$7056$)⪠⩆⊳)⨽⪊≇)","expression":"((⊺⇮1365≌⊺⇮2784⇼⇔∾⊺⇮2433≳⇉⊺⇮4894)⊕∕(⊺⇮5209∌↝⊺⇮3532≀⫉(≇⪴⊺⇮5274)))⪃⊛⇣(((≪⊺⇮7056)⪠⩆⊳)⨽⪊≇)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":222725613,"operation_count":11,"complexity_ratio":20247783.0,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1365,"base":10},"right_expr":{"type":"numeric_atoms","value":2784,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2433,"base":10},"right_expr":{"type":"numeric_atoms","value":4894,"base":10}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5209,"base":10},"right_expr":{"type":"numeric_atoms","value":3532,"base":10}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":5274,"base":10}}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":7056,"base":10}}}}},"used_operators":["rrgAzCduG9","9cloC0Ngie","tifHPKVTfV","lyWz822IDG","V0kx6qeWkN","oZj3VtZNQx","9Isq31Ruls","zoVPnxeHJ3","nlCqmYiOvY","JLbD19bQDL","Qtd6bqUJcN"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=2784, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2433","layer":4},{"info":"number node, value=4894","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=4894, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=5209","layer":4},{"info":"number node, value=3532","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=3532, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=5274","layer":4},{"info":"compute unary expreesion, input=5274, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-14482","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14482, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"number node, value=7056","layer":4},{"info":"compute unary expreesion, input=7056, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute unary expreesion, input=913, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-526","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-526, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1365≌⊺⇮2784⇼⇔∾⊺⇮2433≳⇉⊺⇮4894)⊕∕(⊺⇮5209∌↝⊺⇮3532≀⫉(≇⪴⊺⇮5274)))⪃⊛⇣(((≪⊺⇮7056)⪠⩆⊳)⨽⪊≇)=⊺⇮1234","reverse_text":"⊺⇮1234=((⊺⇮1365≌⊺⇮2784⇼⇔∾⊺⇮2433≳⇉⊺⇮4894)⊕∕(⊺⇮5209∌↝⊺⇮3532≀⫉(≇⪴⊺⇮5274)))⪃⊛⇣(((≪⊺⇮7056)⪠⩆⊳)⨽⪊≇)","cot":[{"info":"⊺⇮1365≌⊺⇮2784=NaN","layer":3},{"info":"⊺⇮2433≳⇉⊺⇮4894=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"⊺⇮5209∌↝⊺⇮3532=⊺⇮0","layer":3},{"info":"≇⪴⊺⇮5274=⊺⇮-14482","layer":3},{"info":"⊺⇮0≀⫉⊺⇮-14482=⊺⇮2822","layer":2},{"info":"NaN⊕∕⊺⇮2822=NaN","layer":1},{"info":"≪⊺⇮7056=⊺⇮913","layer":3},{"info":"⊺⇮913⪠⩆⊳=⊺⇮0","layer":2},{"info":"⊺⇮0⨽⪊≇=⊺⇮-526","layer":1},{"info":"NaN⪃⊛⇣⊺⇮-526=⊺⇮1234","layer":0}]}
{"id":440,"expression_no_base_symbol":"(($1898$↼⊘⨖$1530$)⪢($1955$≒∊$2300$)⪛⫼$3093$⨪↰⇹$2664$⪔(⇜$6044$))⋥≓≎($1175$⪘⨀)∳⫺(≪$1109$)⇴($6511$↬$3775$)⩍⋽⫝̸(⪭⩑⪱$1179$)","expression":"((⊺⇮1898↼⊘⨖⊺⇮1530)⪢(⊺⇮1955≒∊⊺⇮2300)⪛⫼⊺⇮3093⨪↰⇹⊺⇮2664⪔(⇜⊺⇮6044))⋥≓≎(⊺⇮1175⪘⨀)∳⫺(≪⊺⇮1109)⇴(⊺⇮6511↬⊺⇮3775)⩍⋽⫝̸(⪭⩑⪱⊺⇮1179)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":202336,"operation_count":15,"complexity_ratio":13489.066666666668,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1898,"base":10},"right_expr":{"type":"numeric_atoms","value":1530,"base":10}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1955,"base":10},"right_expr":{"type":"numeric_atoms","value":2300,"base":10}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3093,"base":10},"right_expr":{"type":"numeric_atoms","value":2664,"base":10}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":6044,"base":10}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1175,"base":10}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1109,"base":10}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6511,"base":10},"right_expr":{"type":"numeric_atoms","value":3775,"base":10}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1179,"base":10}}}}},"used_operators":["Qy55tPpLXF","hyuBjUqXlG","dWAJyo7jo9","bPywburJMS","5KTvxBwnZo","GjBEYRfMaF","tmPS8pqC7x","lFBm8KRb8F","4JB6nKBMSY","AzXXKTstlj","aA7tF3KVD3","Qtd6bqUJcN","BiWNJpBvwn","B5M0gjZbta","SIgE0bArFf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","k8jYdgA6NY","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rJVOvQCfKK","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","sdazOOVcIp","NTOWxs364D","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","Ph9nP6C5qx","xUOZtlo3hN","rGHVDoGpnC","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"⊺⇮33115661","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1898","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=1530, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2838","layer":3},{"info":"number node, value=1955","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=2300, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1471","layer":3},{"info":"compute binary expreesion, left_input=2838, right_input=-1471, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3093","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=2664, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3093","layer":3},{"info":"number node, value=6044","layer":4},{"info":"compute unary expreesion, input=6044, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-48760","layer":3},{"info":"compute binary expreesion, left_input=3093, right_input=-48760, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"number node, value=1175","layer":4},{"info":"compute unary expreesion, input=1175, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-2931","layer":3},{"info":"number node, value=1109","layer":4},{"info":"compute unary expreesion, input=1109, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=-2931, right_input=913, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-13488","layer":2},{"info":"number node, value=6511","layer":4},{"info":"number node, value=3775","layer":4},{"info":"compute binary expreesion, left_input=6511, right_input=3775, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=8319806","layer":2},{"info":"compute binary expreesion, left_input=-13488, right_input=8319806, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16558298","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=16558298, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=33115661","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1898↼⊘⨖⊺⇮1530)⪢(⊺⇮1955≒∊⊺⇮2300)⪛⫼⊺⇮3093⨪↰⇹⊺⇮2664⪔(⇜⊺⇮6044))⋥≓≎(⊺⇮1175⪘⨀)∳⫺(≪⊺⇮1109)⇴(⊺⇮6511↬⊺⇮3775)⩍⋽⫝̸(⪭⩑⪱⊺⇮1179)=⊺⇮33115661","reverse_text":"⊺⇮33115661=((⊺⇮1898↼⊘⨖⊺⇮1530)⪢(⊺⇮1955≒∊⊺⇮2300)⪛⫼⊺⇮3093⨪↰⇹⊺⇮2664⪔(⇜⊺⇮6044))⋥≓≎(⊺⇮1175⪘⨀)∳⫺(≪⊺⇮1109)⇴(⊺⇮6511↬⊺⇮3775)⩍⋽⫝̸(⪭⩑⪱⊺⇮1179)","cot":[{"info":"⊺⇮1898↼⊘⨖⊺⇮1530=⊺⇮2838","layer":3},{"info":"⊺⇮1955≒∊⊺⇮2300=⊺⇮-1471","layer":3},{"info":"⊺⇮2838⪢⊺⇮-1471=NaN","layer":2},{"info":"⊺⇮3093⨪↰⇹⊺⇮2664=⊺⇮3093","layer":3},{"info":"⇜⊺⇮6044=⊺⇮-48760","layer":3},{"info":"⊺⇮3093⪔⊺⇮-48760=⊺⇮450","layer":2},{"info":"NaN⪛⫼⊺⇮450=⊺⇮968","layer":1},{"info":"⊺⇮1175⪘⨀=⊺⇮-2931","layer":3},{"info":"≪⊺⇮1109=⊺⇮913","layer":3},{"info":"⊺⇮-2931∳⫺⊺⇮913=⊺⇮-13488","layer":2},{"info":"⊺⇮6511↬⊺⇮3775=NaN","layer":3},{"info":"⪭⩑⪱⊺⇮1179=⊺⇮8320752","layer":3},{"info":"NaN⩍⋽⫝̸⊺⇮8320752=⊺⇮8319806","layer":2},{"info":"⊺⇮-13488⇴⊺⇮8319806=⊺⇮16558298","layer":1},{"info":"⊺⇮968⋥≓≎⊺⇮16558298=⊺⇮33115661","layer":0}]}
{"id":441,"expression_no_base_symbol":"(⊆⋠(($2654$⨽$1037$)⩠))⩣⫁∢(((⊢≑≆$1534$)⩺⪪($8928$⫦⪉$5212$))⪃↞⩐)","expression":"(⊆⋠((⊺⇮2654⨽⊺⇮1037)⩠))⩣⫁∢(((⊢≑≆⊺⇮1534)⩺⪪(⊺⇮8928⫦⪉⊺⇮5212))⪃↞⩐)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3602,"operation_count":8,"complexity_ratio":450.25,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2654,"base":10},"right_expr":{"type":"numeric_atoms","value":1037,"base":10}}}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1534,"base":10}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":8928,"base":10},"right_expr":{"type":"numeric_atoms","value":5212,"base":10}}}}},"used_operators":["JDUIKTTSIa","EBhcHTkKd8","sJAwomhLZr","8HhzD0ZcuI","grXIztHqDa","uvdQJvN4PV","27wFxooxGf","wscyQdcy20"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2654","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=1037, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21132945","layer":3},{"info":"compute unary expreesion, input=-21132945, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=84531989","layer":2},{"info":"compute unary expreesion, input=84531989, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"number node, value=1534","layer":4},{"info":"compute unary expreesion, input=1534, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=6588","layer":3},{"info":"number node, value=8928","layer":4},{"info":"number node, value=5212","layer":4},{"info":"compute binary expreesion, left_input=8928, right_input=5212, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-12956","layer":3},{"info":"compute binary expreesion, left_input=6588, right_input=-12956, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-313602","layer":2},{"info":"compute unary expreesion, input=-313602, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊆⋠((⊺⇮2654⨽⊺⇮1037)⩠))⩣⫁∢(((⊢≑≆⊺⇮1534)⩺⪪(⊺⇮8928⫦⪉⊺⇮5212))⪃↞⩐)=NaN","reverse_text":"NaN=(⊆⋠((⊺⇮2654⨽⊺⇮1037)⩠))⩣⫁∢(((⊢≑≆⊺⇮1534)⩺⪪(⊺⇮8928⫦⪉⊺⇮5212))⪃↞⩐)","cot":[{"info":"⊺⇮2654⨽⊺⇮1037=⊺⇮-21132945","layer":3},{"info":"⊺⇮-21132945⩠=⊺⇮84531989","layer":2},{"info":"⊆⋠⊺⇮84531989=⊺⇮0","layer":1},{"info":"⊢≑≆⊺⇮1534=⊺⇮6588","layer":3},{"info":"⊺⇮8928⫦⪉⊺⇮5212=⊺⇮-12956","layer":3},{"info":"⊺⇮6588⩺⪪⊺⇮-12956=⊺⇮-313602","layer":2},{"info":"⊺⇮-313602⪃↞⩐=NaN","layer":1},{"info":"⊺⇮0⩣⫁∢NaN=NaN","layer":0}]}
{"id":442,"expression_no_base_symbol":"⇜⊴($5731$⩦$1472$∧)⩁⩘(($5833$⪠⩆⊳)⨔≚≋$1522$⨸$7365$)","expression":"⇜⊴(⊺⇮5731⩦⊺⇮1472∧)⩁⩘((⊺⇮5833⪠⩆⊳)⨔≚≋⊺⇮1522⨸⊺⇮7365)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1801,"operation_count":7,"complexity_ratio":257.2857142857143,"tree":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":5731,"base":10},"right_expr":{"type":"numeric_atoms","value":1472,"base":10}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5833,"base":10}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1522,"base":10},"right_expr":{"type":"numeric_atoms","value":7365,"base":10}}}}},"used_operators":["XwDhCwWbUn","gub5Cegaqo","z63VuFQld9","0kmYd0q39Y","Z57zeUYC9z","JLbD19bQDL","KmoU8R5UQR"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","DpFCA1CohY","IWmyXbctLI","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5731","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=5731, right_input=1472, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=11462","layer":3},{"info":"compute unary expreesion, input=11462, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"number node, value=5833","layer":4},{"info":"compute unary expreesion, input=5833, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=1522","layer":4},{"info":"number node, value=7365","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=7365, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3044","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3044, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-27112","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-27112, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇜⊴(⊺⇮5731⩦⊺⇮1472∧)⩁⩘((⊺⇮5833⪠⩆⊳)⨔≚≋⊺⇮1522⨸⊺⇮7365)=NaN","reverse_text":"NaN=⇜⊴(⊺⇮5731⩦⊺⇮1472∧)⩁⩘((⊺⇮5833⪠⩆⊳)⨔≚≋⊺⇮1522⨸⊺⇮7365)","cot":[{"info":"⊺⇮5731⩦⊺⇮1472=⊺⇮11462","layer":3},{"info":"⊺⇮11462∧=NaN","layer":2},{"info":"⊺⇮5833⪠⩆⊳=⊺⇮0","layer":3},{"info":"⊺⇮1522⨸⊺⇮7365=⊺⇮3044","layer":3},{"info":"⊺⇮0⨔≚≋⊺⇮3044=⊺⇮-27112","layer":2},{"info":"NaN⩁⩘⊺⇮-27112=NaN","layer":1},{"info":"⇜⊴NaN=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"(≛(≻⋜$1546$)↹⊜($2396$⋾⨃∁$1258$))⪡((⋃$2114$)⩤)→⨶⪴(⇜$1005$)↞⋁($2544$⪚⩙≫)","expression":"(≛(≻⋜⊺⇮1546)↹⊜(⊺⇮2396⋾⨃∁⊺⇮1258))⪡((⋃⊺⇮2114)⩤)→⨶⪴(⇜⊺⇮1005)↞⋁(⊺⇮2544⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11464,"operation_count":11,"complexity_ratio":1042.1818181818182,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1546,"base":10}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2396,"base":10},"right_expr":{"type":"numeric_atoms","value":1258,"base":10}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2114,"base":10}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1005,"base":10}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":2544,"base":10}}}}},"used_operators":["oraRL2iQuh","W7eaUhjymW","9bazX3JMtO","3tj9sqzovi","212REbPD9h","bF6eod5Gvf","Z2TMIBDE3Q","3mBM5G4a3l","RqrPlJkxDo","lFBm8KRb8F","4n53wtyJvv"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1546","layer":4},{"info":"compute unary expreesion, input=1546, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=2396","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=1258, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=15810450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15810450, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=nan","layer":1},{"info":"number node, value=2114","layer":4},{"info":"compute unary expreesion, input=2114, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=4330","layer":3},{"info":"compute unary expreesion, input=4330, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4330","layer":2},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-8448","layer":3},{"info":"number node, value=2544","layer":4},{"info":"compute unary expreesion, input=2544, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8448, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4330, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≛(≻⋜⊺⇮1546)↹⊜(⊺⇮2396⋾⨃∁⊺⇮1258))⪡((⋃⊺⇮2114)⩤)→⨶⪴(⇜⊺⇮1005)↞⋁(⊺⇮2544⪚⩙≫)=NaN","reverse_text":"NaN=(≛(≻⋜⊺⇮1546)↹⊜(⊺⇮2396⋾⨃∁⊺⇮1258))⪡((⋃⊺⇮2114)⩤)→⨶⪴(⇜⊺⇮1005)↞⋁(⊺⇮2544⪚⩙≫)","cot":[{"info":"≻⋜⊺⇮1546=NaN","layer":3},{"info":"⊺⇮2396⋾⨃∁⊺⇮1258=⊺⇮15810450","layer":3},{"info":"NaN↹⊜⊺⇮15810450=NaN","layer":2},{"info":"≛NaN=NaN","layer":1},{"info":"⋃⊺⇮2114=⊺⇮4330","layer":3},{"info":"⊺⇮4330⩤=⊺⇮-4330","layer":2},{"info":"⇜⊺⇮1005=⊺⇮-8448","layer":3},{"info":"⊺⇮2544⪚⩙≫=NaN","layer":3},{"info":"⊺⇮-8448↞⋁NaN=NaN","layer":2},{"info":"⊺⇮-4330→⨶⪴NaN=NaN","layer":1},{"info":"NaN⪡NaN=NaN","layer":0}]}
{"id":444,"expression_no_base_symbol":"((≅≯⇸$2756$)∌↝($3492$⇼⇔∾$3932$)⫚↹⊑(⩩$1443$⊮⊟↴$1712$))⊮⊟↴(($1723$↠)≹⇙⪍$6248$⨜⨶$4507$⨓($3798$≳⇉$2188$∖$1272$⪕$2725$))","expression":"((≅≯⇸⊺⇮2756)∌↝(⊺⇮3492⇼⇔∾⊺⇮3932)⫚↹⊑(⩩⊺⇮1443⊮⊟↴⊺⇮1712))⊮⊟↴((⊺⇮1723↠)≹⇙⪍⊺⇮6248⨜⨶⊺⇮4507⨓(⊺⇮3798≳⇉⊺⇮2188∖⊺⇮1272⪕⊺⇮2725))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":53048679,"operation_count":14,"complexity_ratio":3789191.3571428573,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2756,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3492,"base":10},"right_expr":{"type":"numeric_atoms","value":3932,"base":10}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1443,"base":10},"right_expr":{"type":"numeric_atoms","value":1712,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1723,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6248,"base":10},"right_expr":{"type":"numeric_atoms","value":4507,"base":10}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3798,"base":10},"right_expr":{"type":"numeric_atoms","value":2188,"base":10}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1272,"base":10},"right_expr":{"type":"numeric_atoms","value":2725,"base":10}}}}},"used_operators":["QDVgd2eftb","dfKe02y8D2","9Isq31Ruls","apS25hmuAe","tifHPKVTfV","kMhfGuqI2H","3ViojmjbAp","AHs5Up7iyr","LBdsKIvxzf","HiPekx5b7W","tXD093vOjl","V0kx6qeWkN","umQnsF7QlU"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2756","layer":4},{"info":"compute unary expreesion, input=2756, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=18701","layer":3},{"info":"number node, value=3492","layer":4},{"info":"number node, value=3932","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=3932, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=440","layer":3},{"info":"compute binary expreesion, left_input=18701, right_input=440, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"number node, value=1443","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=1712, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=232","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=232, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=6248","layer":4},{"info":"number node, value=4507","layer":4},{"info":"compute binary expreesion, left_input=6248, right_input=4507, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-8758","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-8758, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3798","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=3798, right_input=2188, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1272","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2725, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=720","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=720, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≅≯⇸⊺⇮2756)∌↝(⊺⇮3492⇼⇔∾⊺⇮3932)⫚↹⊑(⩩⊺⇮1443⊮⊟↴⊺⇮1712))⊮⊟↴((⊺⇮1723↠)≹⇙⪍⊺⇮6248⨜⨶⊺⇮4507⨓(⊺⇮3798≳⇉⊺⇮2188∖⊺⇮1272⪕⊺⇮2725))=NaN","reverse_text":"NaN=((≅≯⇸⊺⇮2756)∌↝(⊺⇮3492⇼⇔∾⊺⇮3932)⫚↹⊑(⩩⊺⇮1443⊮⊟↴⊺⇮1712))⊮⊟↴((⊺⇮1723↠)≹⇙⪍⊺⇮6248⨜⨶⊺⇮4507⨓(⊺⇮3798≳⇉⊺⇮2188∖⊺⇮1272⪕⊺⇮2725))","cot":[{"info":"≅≯⇸⊺⇮2756=⊺⇮18701","layer":3},{"info":"⊺⇮3492⇼⇔∾⊺⇮3932=⊺⇮440","layer":3},{"info":"⊺⇮18701∌↝⊺⇮440=⊺⇮0","layer":2},{"info":"⊺⇮1443⊮⊟↴⊺⇮1712=⊺⇮0","layer":3},{"info":"⩩⊺⇮0=⊺⇮232","layer":2},{"info":"⊺⇮0⫚↹⊑⊺⇮232=⊺⇮-447","layer":1},{"info":"⊺⇮1723↠=⊺⇮-447","layer":3},{"info":"⊺⇮6248⨜⨶⊺⇮4507=⊺⇮-8758","layer":3},{"info":"⊺⇮-447≹⇙⪍⊺⇮-8758=NaN","layer":2},{"info":"⊺⇮3798≳⇉⊺⇮2188=NaN","layer":3},{"info":"⊺⇮1272⪕⊺⇮2725=⊺⇮720","layer":3},{"info":"NaN∖⊺⇮720=⊺⇮0","layer":2},{"info":"NaN⨓⊺⇮0=NaN","layer":1},{"info":"⊺⇮-447⊮⊟↴NaN=NaN","layer":0}]}
{"id":445,"expression_no_base_symbol":"($3446$⪘⫢$1860$⫢⨠$3523$∥⊢⊲$3028$)⊲⩕⊾(≱⇩⩕$5083$⨜⨶$1519$)⨱∎","expression":"(⊺⇮3446⪘⫢⊺⇮1860⫢⨠⊺⇮3523∥⊢⊲⊺⇮3028)⊲⩕⊾(≱⇩⩕⊺⇮5083⨜⨶⊺⇮1519)⨱∎","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":162,"operation_count":7,"complexity_ratio":23.142857142857142,"tree":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3446,"base":10},"right_expr":{"type":"numeric_atoms","value":1860,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3523,"base":10},"right_expr":{"type":"numeric_atoms","value":3028,"base":10}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5083,"base":10},"right_expr":{"type":"numeric_atoms","value":1519,"base":10}}}}},"used_operators":["MmTdOpaElr","DmTXOeWf9t","xlXykHWxX1","oacrs7FA3X","v1UQAVDJRr","3DZMoQKiUl","HiPekx5b7W"],"dependent_operators":["tifHPKVTfV","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3446","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=3446, right_input=1860, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6768","layer":3},{"info":"number node, value=3523","layer":4},{"info":"number node, value=3028","layer":4},{"info":"compute binary expreesion, left_input=3523, right_input=3028, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6768, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=5083","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=5083, right_input=1519, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-2782","layer":3},{"info":"compute unary expreesion, input=-2782, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=20084","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20084, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3446⪘⫢⊺⇮1860⫢⨠⊺⇮3523∥⊢⊲⊺⇮3028)⊲⩕⊾(≱⇩⩕⊺⇮5083⨜⨶⊺⇮1519)⨱∎=NaN","reverse_text":"NaN=(⊺⇮3446⪘⫢⊺⇮1860⫢⨠⊺⇮3523∥⊢⊲⊺⇮3028)⊲⩕⊾(≱⇩⩕⊺⇮5083⨜⨶⊺⇮1519)⨱∎","cot":[{"info":"⊺⇮3446⪘⫢⊺⇮1860=⊺⇮6768","layer":3},{"info":"⊺⇮3523∥⊢⊲⊺⇮3028=NaN","layer":3},{"info":"⊺⇮6768⫢⨠NaN=NaN","layer":2},{"info":"⊺⇮5083⨜⨶⊺⇮1519=⊺⇮-2782","layer":3},{"info":"≱⇩⩕⊺⇮-2782=⊺⇮20084","layer":2},{"info":"NaN⊲⩕⊾⊺⇮20084=NaN","layer":1},{"info":"NaN⨱∎=NaN","layer":0}]}
{"id":446,"expression_no_base_symbol":"($6755$⪘⫢$4775$⋭≵(≔$2250$))∌((∷≠$8143$)⊲⩕⊾($6687$∠↢$4709$))∇⊂⋱(⊑($1026$⪮%⊝$4913$)∛($3352$⨎$7503$))","expression":"(⊺⇮6755⪘⫢⊺⇮4775⋭≵(≔⊺⇮2250))∌((∷≠⊺⇮8143)⊲⩕⊾(⊺⇮6687∠↢⊺⇮4709))∇⊂⋱(⊑(⊺⇮1026⪮%⊝⊺⇮4913)∛(⊺⇮3352⨎⊺⇮7503))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":670,"operation_count":12,"complexity_ratio":55.833333333333336,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6755,"base":10},"right_expr":{"type":"numeric_atoms","value":4775,"base":10}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2250,"base":10}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":8143,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":6687,"base":10},"right_expr":{"type":"numeric_atoms","value":4709,"base":10}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1026,"base":10},"right_expr":{"type":"numeric_atoms","value":4913,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3352,"base":10},"right_expr":{"type":"numeric_atoms","value":7503,"base":10}}}}},"used_operators":["nhYeJWJD5X","8cLx32lpNA","jBncVCNhdl","oacrs7FA3X","8FLs4eVsLt","DmTXOeWf9t","QiR2Oyf5Xj","KbjG8mgYpV","IkUmn0D7oy","w2537kitQq","IWmyXbctLI","rJVOvQCfKK"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","7j4O788W3g","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮-384","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6755","layer":4},{"info":"number node, value=4775","layer":4},{"info":"compute binary expreesion, left_input=6755, right_input=4775, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13386","layer":3},{"info":"number node, value=2250","layer":4},{"info":"compute unary expreesion, input=2250, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-61706","layer":3},{"info":"compute binary expreesion, left_input=13386, right_input=-61706, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=8143","layer":4},{"info":"compute unary expreesion, input=8143, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=8143","layer":3},{"info":"number node, value=6687","layer":4},{"info":"number node, value=4709","layer":4},{"info":"compute binary expreesion, left_input=6687, right_input=4709, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-91592","layer":3},{"info":"compute binary expreesion, left_input=8143, right_input=-91592, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=1710082","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1710082, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1710082","layer":1},{"info":"number node, value=1026","layer":4},{"info":"number node, value=4913","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=4913, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2368","layer":3},{"info":"number node, value=3352","layer":4},{"info":"number node, value=7503","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=7503, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7503","layer":3},{"info":"compute binary expreesion, left_input=2368, right_input=7503, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-1710082, right_input=192, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-384","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6755⪘⫢⊺⇮4775⋭≵(≔⊺⇮2250))∌((∷≠⊺⇮8143)⊲⩕⊾(⊺⇮6687∠↢⊺⇮4709))∇⊂⋱(⊑(⊺⇮1026⪮%⊝⊺⇮4913)∛(⊺⇮3352⨎⊺⇮7503))=⊺⇮-384","reverse_text":"⊺⇮-384=(⊺⇮6755⪘⫢⊺⇮4775⋭≵(≔⊺⇮2250))∌((∷≠⊺⇮8143)⊲⩕⊾(⊺⇮6687∠↢⊺⇮4709))∇⊂⋱(⊑(⊺⇮1026⪮%⊝⊺⇮4913)∛(⊺⇮3352⨎⊺⇮7503))","cot":[{"info":"⊺⇮6755⪘⫢⊺⇮4775=⊺⇮13386","layer":3},{"info":"≔⊺⇮2250=⊺⇮-61706","layer":3},{"info":"⊺⇮13386⋭≵⊺⇮-61706=⊺⇮67","layer":2},{"info":"∷≠⊺⇮8143=⊺⇮8143","layer":3},{"info":"⊺⇮6687∠↢⊺⇮4709=⊺⇮-91592","layer":3},{"info":"⊺⇮8143⊲⩕⊾⊺⇮-91592=⊺⇮1710082","layer":2},{"info":"⊺⇮67∌⊺⇮1710082=⊺⇮-1710082","layer":1},{"info":"⊺⇮1026⪮%⊝⊺⇮4913=⊺⇮2368","layer":3},{"info":"⊺⇮3352⨎⊺⇮7503=⊺⇮7503","layer":3},{"info":"⊺⇮2368∛⊺⇮7503=⊺⇮-670","layer":2},{"info":"⊑⊺⇮-670=⊺⇮192","layer":1},{"info":"⊺⇮-1710082∇⊂⋱⊺⇮192=⊺⇮-384","layer":0}]}
{"id":447,"expression_no_base_symbol":"($1153$⩚⊴⇥$1772$⊦⊿)⨽∌(($1173$↓$5039$)⨽∌($3344$∽$8814$))*((⊿$7192$)⫲)⊨$4597$∺≝⩲$8468$⋥⋵⩄$1240$∳⫺$2811$","expression":"(⊺⇮1153⩚⊴⇥⊺⇮1772⊦⊿)⨽∌((⊺⇮1173↓⊺⇮5039)⨽∌(⊺⇮3344∽⊺⇮8814))*((⊿⊺⇮7192)⫲)⊨⊺⇮4597∺≝⩲⊺⇮8468⋥⋵⩄⊺⇮1240∳⫺⊺⇮2811","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":71398,"operation_count":13,"complexity_ratio":5492.153846153846,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1153,"base":10},"right_expr":{"type":"numeric_atoms","value":1772,"base":10}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1173,"base":10},"right_expr":{"type":"numeric_atoms","value":5039,"base":10}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3344,"base":10},"right_expr":{"type":"numeric_atoms","value":8814,"base":10}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":7192,"base":10}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4597,"base":10},"right_expr":{"type":"numeric_atoms","value":8468,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1240,"base":10},"right_expr":{"type":"numeric_atoms","value":2811,"base":10}}}}},"used_operators":["9HNa5Wba9A","9samAPKr6k","14qkJME0vr","NTOWxs364D","Af076pWI7l","y4ImoPnbV5","vg4gO5BX6G","9xnGDUPbC6","DO4fhlbJSI","7t3wd0Fuz7","KPf6cnQVty","AzXXKTstlj"],"dependent_operators":["W4YGzv6Whe","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1772, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3046","layer":3},{"info":"compute unary expreesion, input=-3046, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=9059","layer":2},{"info":"number node, value=1173","layer":4},{"info":"number node, value=5039","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=5039, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3344","layer":4},{"info":"number node, value=8814","layer":4},{"info":"compute binary expreesion, left_input=3344, right_input=8814, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-42984","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-42984, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9059, right_input=0, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"number node, value=7192","layer":4},{"info":"compute unary expreesion, input=7192, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-29506","layer":3},{"info":"compute unary expreesion, input=-29506, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=58891","layer":2},{"info":"number node, value=4597","layer":4},{"info":"number node, value=8468","layer":4},{"info":"compute binary expreesion, left_input=4597, right_input=8468, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=2811","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=2811, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-600","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-600, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=4136","layer":2},{"info":"compute binary expreesion, left_input=58891, right_input=4136, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=236595","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=236595, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1153⩚⊴⇥⊺⇮1772⊦⊿)⨽∌((⊺⇮1173↓⊺⇮5039)⨽∌(⊺⇮3344∽⊺⇮8814))*((⊿⊺⇮7192)⫲)⊨⊺⇮4597∺≝⩲⊺⇮8468⋥⋵⩄⊺⇮1240∳⫺⊺⇮2811=NaN","reverse_text":"NaN=(⊺⇮1153⩚⊴⇥⊺⇮1772⊦⊿)⨽∌((⊺⇮1173↓⊺⇮5039)⨽∌(⊺⇮3344∽⊺⇮8814))*((⊿⊺⇮7192)⫲)⊨⊺⇮4597∺≝⩲⊺⇮8468⋥⋵⩄⊺⇮1240∳⫺⊺⇮2811","cot":[{"info":"⊺⇮1153⩚⊴⇥⊺⇮1772=⊺⇮-3046","layer":3},{"info":"⊺⇮-3046⊦⊿=⊺⇮9059","layer":2},{"info":"⊺⇮1173↓⊺⇮5039=⊺⇮-134","layer":3},{"info":"⊺⇮3344∽⊺⇮8814=⊺⇮-42984","layer":3},{"info":"⊺⇮-134⨽∌⊺⇮-42984=⊺⇮0","layer":2},{"info":"⊺⇮9059⨽∌⊺⇮0=NaN","layer":1},{"info":"⊿⊺⇮7192=⊺⇮-29506","layer":3},{"info":"⊺⇮-29506⫲=⊺⇮58891","layer":2},{"info":"⊺⇮4597∺≝⩲⊺⇮8468=⊺⇮160","layer":3},{"info":"⊺⇮1240∳⫺⊺⇮2811=⊺⇮-600","layer":3},{"info":"⊺⇮160⋥⋵⩄⊺⇮-600=⊺⇮4136","layer":2},{"info":"⊺⇮58891⊨⊺⇮4136=⊺⇮236595","layer":1},{"info":"NaN*⊺⇮236595=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"($2567$⊕∕$1017$⩌⋺$3580$⫘$1513$⪛⫼($4559$⫠↝⫳)⊮⊟↴($3585$∌↝$1237$))↼⊘⨖((⩩$1441$)⊢($3283$∑⇟⊟$1732$)+(≦∁($3329$⩭)))","expression":"(⊺⇮2567⊕∕⊺⇮1017⩌⋺⊺⇮3580⫘⊺⇮1513⪛⫼(⊺⇮4559⫠↝⫳)⊮⊟↴(⊺⇮3585∌↝⊺⇮1237))↼⊘⨖((⩩⊺⇮1441)⊢(⊺⇮3283∑⇟⊟⊺⇮1732)+(≦∁(⊺⇮3329⩭)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":112869,"operation_count":14,"complexity_ratio":8062.071428571428,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2567,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3580,"base":10},"right_expr":{"type":"numeric_atoms","value":1513,"base":10}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":4559,"base":10}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3585,"base":10},"right_expr":{"type":"numeric_atoms","value":1237,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1441,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3283,"base":10},"right_expr":{"type":"numeric_atoms","value":1732,"base":10}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":3329,"base":10}}}}},"used_operators":["bPywburJMS","hyuBjUqXlG","g7Hmc5v1ko","9cloC0Ngie","48vC8HMD2b","QDVgd2eftb","8n5YIzOsVS","9Isq31Ruls","W4YGzv6Whe","5twsqlHp2o","kMhfGuqI2H","U7g4x0WXJJ","9ICcGScMcE","yIPP7u6H5x"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2567","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=1017, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2567","layer":3},{"info":"number node, value=3580","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=3580, right_input=1513, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4214485","layer":3},{"info":"compute binary expreesion, left_input=2567, right_input=4214485, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4217173","layer":2},{"info":"number node, value=4559","layer":4},{"info":"compute unary expreesion, input=4559, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=146511","layer":3},{"info":"number node, value=3585","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=3585, right_input=1237, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=146511, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-4217173, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=3283","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=3283, right_input=1732, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":2},{"info":"number node, value=3329","layer":4},{"info":"compute unary expreesion, input=3329, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2567⊕∕⊺⇮1017⩌⋺⊺⇮3580⫘⊺⇮1513⪛⫼(⊺⇮4559⫠↝⫳)⊮⊟↴(⊺⇮3585∌↝⊺⇮1237))↼⊘⨖((⩩⊺⇮1441)⊢(⊺⇮3283∑⇟⊟⊺⇮1732)+(≦∁(⊺⇮3329⩭)))=NaN","reverse_text":"NaN=(⊺⇮2567⊕∕⊺⇮1017⩌⋺⊺⇮3580⫘⊺⇮1513⪛⫼(⊺⇮4559⫠↝⫳)⊮⊟↴(⊺⇮3585∌↝⊺⇮1237))↼⊘⨖((⩩⊺⇮1441)⊢(⊺⇮3283∑⇟⊟⊺⇮1732)+(≦∁(⊺⇮3329⩭)))","cot":[{"info":"⊺⇮2567⊕∕⊺⇮1017=⊺⇮2567","layer":3},{"info":"⊺⇮3580⫘⊺⇮1513=⊺⇮4214485","layer":3},{"info":"⊺⇮2567⩌⋺⊺⇮4214485=⊺⇮-4217173","layer":2},{"info":"⊺⇮4559⫠↝⫳=⊺⇮146511","layer":3},{"info":"⊺⇮3585∌↝⊺⇮1237=⊺⇮0","layer":3},{"info":"⊺⇮146511⊮⊟↴⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-4217173⪛⫼⊺⇮0=⊺⇮968","layer":1},{"info":"⩩⊺⇮1441=NaN","layer":3},{"info":"⊺⇮3283∑⇟⊟⊺⇮1732=NaN","layer":3},{"info":"NaN⊢NaN=NaN","layer":2},{"info":"⊺⇮3329⩭=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⊺⇮968↼⊘⨖NaN=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"(≔((⨈⪑$4204$)≫≃))⪭≯($8838$⋹⋡⊁$4209$⨔⇊(⇖$3532$))↳≱($2139$⨟⋌⩍$2548$⇄$5260$∌$2866$)","expression":"(≔((⨈⪑⊺⇮4204)≫≃))⪭≯(⊺⇮8838⋹⋡⊁⊺⇮4209⨔⇊(⇖⊺⇮3532))↳≱(⊺⇮2139⨟⋌⩍⊺⇮2548⇄⊺⇮5260∌⊺⇮2866)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":71987,"operation_count":11,"complexity_ratio":6544.272727272727,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":4204,"base":10}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":8838,"base":10},"right_expr":{"type":"numeric_atoms","value":4209,"base":10}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":3532,"base":10}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2139,"base":10},"right_expr":{"type":"numeric_atoms","value":2548,"base":10}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5260,"base":10},"right_expr":{"type":"numeric_atoms","value":2866,"base":10}}}}},"used_operators":["XAx5wpdLa6","8FLs4eVsLt","X99M06cbEe","mp94q5OcYM","JwTKLfZU96","JclMnS0uGI","As8RqfVLgs","tfWHHpNKUN","3EYGwJThht","rGHVDoGpnC","8cLx32lpNA"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","2DQ55sFlQl","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Tcnh7f0tEr","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4204","layer":4},{"info":"compute unary expreesion, input=4204, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3137","layer":2},{"info":"compute unary expreesion, input=3137, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-86542","layer":1},{"info":"number node, value=8838","layer":4},{"info":"number node, value=4209","layer":4},{"info":"compute binary expreesion, left_input=8838, right_input=4209, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4959","layer":3},{"info":"number node, value=3532","layer":4},{"info":"compute unary expreesion, input=3532, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4959, right_input=160, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=160","layer":2},{"info":"number node, value=2139","layer":4},{"info":"number node, value=2548","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=2548, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5260","layer":4},{"info":"number node, value=2866","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=2866, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2866","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2866, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-86542, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≔((⨈⪑⊺⇮4204)≫≃))⪭≯(⊺⇮8838⋹⋡⊁⊺⇮4209⨔⇊(⇖⊺⇮3532))↳≱(⊺⇮2139⨟⋌⩍⊺⇮2548⇄⊺⇮5260∌⊺⇮2866)=NaN","reverse_text":"NaN=(≔((⨈⪑⊺⇮4204)≫≃))⪭≯(⊺⇮8838⋹⋡⊁⊺⇮4209⨔⇊(⇖⊺⇮3532))↳≱(⊺⇮2139⨟⋌⩍⊺⇮2548⇄⊺⇮5260∌⊺⇮2866)","cot":[{"info":"⨈⪑⊺⇮4204=⊺⇮868","layer":3},{"info":"⊺⇮868≫≃=⊺⇮3137","layer":2},{"info":"≔⊺⇮3137=⊺⇮-86542","layer":1},{"info":"⊺⇮8838⋹⋡⊁⊺⇮4209=⊺⇮4959","layer":3},{"info":"⇖⊺⇮3532=⊺⇮160","layer":3},{"info":"⊺⇮4959⨔⇊⊺⇮160=⊺⇮160","layer":2},{"info":"⊺⇮2139⨟⋌⩍⊺⇮2548=NaN","layer":3},{"info":"⊺⇮5260∌⊺⇮2866=⊺⇮-2866","layer":3},{"info":"NaN⇄⊺⇮-2866=NaN","layer":2},{"info":"⊺⇮160↳≱NaN=⊺⇮0","layer":1},{"info":"⊺⇮-86542⪭≯⊺⇮0=NaN","layer":0}]}
{"id":450,"expression_no_base_symbol":"($1439$⨥⫆$1272$↢($6793$⨭⪣$2175$)⩁⩘(($4869$⪚⩙≫)∀⇚≩($5135$≀⩗∶$1456$)))⩘⨬⇊","expression":"(⊺⇮1439⨥⫆⊺⇮1272↢(⊺⇮6793⨭⪣⊺⇮2175)⩁⩘((⊺⇮4869⪚⩙≫)∀⇚≩(⊺⇮5135≀⩗∶⊺⇮1456)))⩘⨬⇊","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":651,"operation_count":8,"complexity_ratio":81.375,"tree":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1439,"base":10},"right_expr":{"type":"numeric_atoms","value":1272,"base":10}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":6793,"base":10},"right_expr":{"type":"numeric_atoms","value":2175,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":4869,"base":10}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5135,"base":10},"right_expr":{"type":"numeric_atoms","value":1456,"base":10}}}}},"used_operators":["XXmTpEpWTW","gub5Cegaqo","WR6HLWljOP","yXekIHxTD4","kn8WO9XteQ","LRNGc0VcxI","4n53wtyJvv","8INZBEW696"],"dependent_operators":["rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","X99M06cbEe","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1439","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=1272, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2420","layer":3},{"info":"number node, value=6793","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=6793, right_input=2175, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5514","layer":3},{"info":"compute binary expreesion, left_input=2420, right_input=5514, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1936","layer":2},{"info":"number node, value=4869","layer":4},{"info":"compute unary expreesion, input=4869, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"number node, value=5135","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=5135, right_input=1456, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1936, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1439⨥⫆⊺⇮1272↢(⊺⇮6793⨭⪣⊺⇮2175)⩁⩘((⊺⇮4869⪚⩙≫)∀⇚≩(⊺⇮5135≀⩗∶⊺⇮1456)))⩘⨬⇊=NaN","reverse_text":"NaN=(⊺⇮1439⨥⫆⊺⇮1272↢(⊺⇮6793⨭⪣⊺⇮2175)⩁⩘((⊺⇮4869⪚⩙≫)∀⇚≩(⊺⇮5135≀⩗∶⊺⇮1456)))⩘⨬⇊","cot":[{"info":"⊺⇮1439⨥⫆⊺⇮1272=⊺⇮2420","layer":3},{"info":"⊺⇮6793⨭⪣⊺⇮2175=⊺⇮5514","layer":3},{"info":"⊺⇮2420↢⊺⇮5514=⊺⇮1936","layer":2},{"info":"⊺⇮4869⪚⩙≫=NaN","layer":3},{"info":"⊺⇮5135≀⩗∶⊺⇮1456=⊺⇮0","layer":3},{"info":"NaN∀⇚≩⊺⇮0=NaN","layer":2},{"info":"⊺⇮1936⩁⩘NaN=NaN","layer":1},{"info":"NaN⩘⨬⇊=NaN","layer":0}]}
{"id":451,"expression_no_base_symbol":"∂(⨭⩧⫛$1527$)↹⊜($1385$∛$2594$)⪢(⩎⋉($2638$⫌⩉⩟$3927$))","expression":"∂(⨭⩧⫛⊺⇮1527)↹⊜(⊺⇮1385∛⊺⇮2594)⪢(⩎⋉(⊺⇮2638⫌⩉⩟⊺⇮3927))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21262,"operation_count":7,"complexity_ratio":3037.4285714285716,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1527,"base":10}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1385,"base":10},"right_expr":{"type":"numeric_atoms","value":2594,"base":10}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2638,"base":10},"right_expr":{"type":"numeric_atoms","value":3927,"base":10}}}}},"used_operators":["Uaa54Peajs","dWAJyo7jo9","9bazX3JMtO","g21JL6JxX7","w2537kitQq","FlXk3pOYe8","XIIwhv8d0m"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1527","layer":4},{"info":"compute unary expreesion, input=1527, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=2594, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"number node, value=2638","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=3927, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=-1750","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1750, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∂(⨭⩧⫛⊺⇮1527)↹⊜(⊺⇮1385∛⊺⇮2594)⪢(⩎⋉(⊺⇮2638⫌⩉⩟⊺⇮3927))=NaN","reverse_text":"NaN=∂(⨭⩧⫛⊺⇮1527)↹⊜(⊺⇮1385∛⊺⇮2594)⪢(⩎⋉(⊺⇮2638⫌⩉⩟⊺⇮3927))","cot":[{"info":"⨭⩧⫛⊺⇮1527=NaN","layer":3},{"info":"⊺⇮1385∛⊺⇮2594=⊺⇮-670","layer":3},{"info":"NaN↹⊜⊺⇮-670=NaN","layer":2},{"info":"⊺⇮2638⫌⩉⩟⊺⇮3927=⊺⇮-50","layer":3},{"info":"⩎⋉⊺⇮-50=⊺⇮-1750","layer":2},{"info":"NaN⪢⊺⇮-1750=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":452,"expression_no_base_symbol":"(⊙↵-$1625$⊱⇼⊻$2913$)≬⋮($7912$⪟⇏$4401$⫲⨊)-((⇺⋃($4620$↫))⩟)","expression":"(⊙↵-⊺⇮1625⊱⇼⊻⊺⇮2913)≬⋮(⊺⇮7912⪟⇏⊺⇮4401⫲⨊)-((⇺⋃(⊺⇮4620↫))⩟)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4460,"operation_count":9,"complexity_ratio":495.55555555555554,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1625,"base":10},"right_expr":{"type":"numeric_atoms","value":2913,"base":10}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":7912,"base":10},"right_expr":{"type":"numeric_atoms","value":4401,"base":10}}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":4620,"base":10}}}}},"used_operators":["rysDP5nf3Z","kbkesczE7y","oWn0xqSxBt","FyVja0WsTP","CArV6hThFE","GODebY97qR","fOIeswaMU4","E5v5B3UAjG","uPb5QRN0te"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"⊺⇮8974","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1625","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=2913, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-2","layer":2},{"info":"number node, value=7912","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=7912, right_input=4401, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=778","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=778, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=4620","layer":4},{"info":"compute unary expreesion, input=4620, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=1037","layer":2},{"info":"compute unary expreesion, input=1037, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-8106","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-8106, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8974","layer":0}],"base":10,"result_base":10,"text":"(⊙↵-⊺⇮1625⊱⇼⊻⊺⇮2913)≬⋮(⊺⇮7912⪟⇏⊺⇮4401⫲⨊)-((⇺⋃(⊺⇮4620↫))⩟)=⊺⇮8974","reverse_text":"⊺⇮8974=(⊙↵-⊺⇮1625⊱⇼⊻⊺⇮2913)≬⋮(⊺⇮7912⪟⇏⊺⇮4401⫲⨊)-((⇺⋃(⊺⇮4620↫))⩟)","cot":[{"info":"⊺⇮1625⊱⇼⊻⊺⇮2913=⊺⇮434","layer":3},{"info":"⊙↵-⊺⇮434=⊺⇮-2","layer":2},{"info":"⊺⇮7912⪟⇏⊺⇮4401=⊺⇮-1","layer":3},{"info":"⊺⇮-1⫲⨊=⊺⇮778","layer":2},{"info":"⊺⇮-2≬⋮⊺⇮778=⊺⇮868","layer":1},{"info":"⊺⇮4620↫=⊺⇮160","layer":3},{"info":"⇺⋃⊺⇮160=⊺⇮1037","layer":2},{"info":"⊺⇮1037⩟=⊺⇮-8106","layer":1},{"info":"⊺⇮868-⊺⇮-8106=⊺⇮8974","layer":0}]}
{"id":453,"expression_no_base_symbol":"($1248$≴⪞⇿$4941$⇴∐($2907$⨎⋸⪻))⫗⊷⫓(($1173$↸$2625$)⨻⩈⩔(∐⩳⋚$3954$))⇪⋭","expression":"(⊺⇮1248≴⪞⇿⊺⇮4941⇴∐(⊺⇮2907⨎⋸⪻))⫗⊷⫓((⊺⇮1173↸⊺⇮2625)⨻⩈⩔(∐⩳⋚⊺⇮3954))⇪⋭","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":90075,"operation_count":8,"complexity_ratio":11259.375,"tree":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1248,"base":10},"right_expr":{"type":"numeric_atoms","value":4941,"base":10}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":2907,"base":10}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1173,"base":10},"right_expr":{"type":"numeric_atoms","value":2625,"base":10}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":3954,"base":10}}}}},"used_operators":["Z8Yg6dlDSp","zashukvMKz","HnzytWxmAO","lvlrscuwVU","Dk5vyLCiGd","nEsXyWgiOK","1eCjFl0mb9","SL6IHkK8vl"],"dependent_operators":["T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","IWmyXbctLI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1248","layer":4},{"info":"number node, value=4941","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=4941, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1901484","layer":3},{"info":"number node, value=2907","layer":4},{"info":"compute unary expreesion, input=2907, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=6130","layer":3},{"info":"compute binary expreesion, left_input=1901484, right_input=6130, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=1173","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2625, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1173","layer":3},{"info":"number node, value=3954","layer":4},{"info":"compute unary expreesion, input=3954, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=578671","layer":3},{"info":"compute binary expreesion, left_input=1173, right_input=578671, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1248≴⪞⇿⊺⇮4941⇴∐(⊺⇮2907⨎⋸⪻))⫗⊷⫓((⊺⇮1173↸⊺⇮2625)⨻⩈⩔(∐⩳⋚⊺⇮3954))⇪⋭=NaN","reverse_text":"NaN=(⊺⇮1248≴⪞⇿⊺⇮4941⇴∐(⊺⇮2907⨎⋸⪻))⫗⊷⫓((⊺⇮1173↸⊺⇮2625)⨻⩈⩔(∐⩳⋚⊺⇮3954))⇪⋭","cot":[{"info":"⊺⇮1248≴⪞⇿⊺⇮4941=⊺⇮1901484","layer":3},{"info":"⊺⇮2907⨎⋸⪻=⊺⇮6130","layer":3},{"info":"⊺⇮1901484⇴∐⊺⇮6130=NaN","layer":2},{"info":"⊺⇮1173↸⊺⇮2625=⊺⇮1173","layer":3},{"info":"∐⩳⋚⊺⇮3954=⊺⇮578671","layer":3},{"info":"⊺⇮1173⨻⩈⩔⊺⇮578671=⊺⇮-174","layer":2},{"info":"NaN⫗⊷⫓⊺⇮-174=⊺⇮-134","layer":1},{"info":"⊺⇮-134⇪⋭=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"((($3588$⫸⇳$4454$)⇣⩺⋵($2864$∝$1713$))⪮%⊝($2546$⋝⋈⪟$4252$⫸⊐($2402$⨵⪆$2654$)))⨥⫆(($1255$⋅⇍$1057$)⪭≯$3554$≁↽≥$4930$⋭≵(⇠($6716$∼$3912$)))","expression":"(((⊺⇮3588⫸⇳⊺⇮4454)⇣⩺⋵(⊺⇮2864∝⊺⇮1713))⪮%⊝(⊺⇮2546⋝⋈⪟⊺⇮4252⫸⊐(⊺⇮2402⨵⪆⊺⇮2654)))⨥⫆((⊺⇮1255⋅⇍⊺⇮1057)⪭≯⊺⇮3554≁↽≥⊺⇮4930⋭≵(⇠(⊺⇮6716∼⊺⇮3912)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4974,"operation_count":14,"complexity_ratio":355.2857142857143,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3588,"base":10},"right_expr":{"type":"numeric_atoms","value":4454,"base":10}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2864,"base":10},"right_expr":{"type":"numeric_atoms","value":1713,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2546,"base":10},"right_expr":{"type":"numeric_atoms","value":4252,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2402,"base":10},"right_expr":{"type":"numeric_atoms","value":2654,"base":10}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1255,"base":10},"right_expr":{"type":"numeric_atoms","value":1057,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3554,"base":10},"right_expr":{"type":"numeric_atoms","value":4930,"base":10}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6716,"base":10},"right_expr":{"type":"numeric_atoms","value":3912,"base":10}}}}},"used_operators":["yXekIHxTD4","IWmyXbctLI","F4yD0voBRQ","gx7XJ7hdpj","cTDWOvIxvz","mqXw5SEYmG","2DDjHMKMc0","2DQ55sFlQl","jBncVCNhdl","XAx5wpdLa6","AdZkA7nFnk","ncHt1X6cMc","18saOjeKKm","DyGG3AbaNP"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","oWn0xqSxBt","3Oe9XWJUTD","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⊺⇮-1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3588","layer":4},{"info":"number node, value=4454","layer":4},{"info":"compute binary expreesion, left_input=3588, right_input=4454, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2864","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=2864, right_input=1713, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2869","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2869, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-5676","layer":2},{"info":"number node, value=2546","layer":4},{"info":"number node, value=4252","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=4252, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2546","layer":3},{"info":"number node, value=2402","layer":4},{"info":"number node, value=2654","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=2654, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2546, right_input=160, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=515","layer":2},{"info":"compute binary expreesion, left_input=-5676, right_input=515, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-11036","layer":1},{"info":"number node, value=1255","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1057, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=3554","layer":4},{"info":"number node, value=4930","layer":4},{"info":"compute binary expreesion, left_input=3554, right_input=4930, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=63242","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=63242, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=6716","layer":4},{"info":"number node, value=3912","layer":4},{"info":"compute binary expreesion, left_input=6716, right_input=3912, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-11036, right_input=67, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮3588⫸⇳⊺⇮4454)⇣⩺⋵(⊺⇮2864∝⊺⇮1713))⪮%⊝(⊺⇮2546⋝⋈⪟⊺⇮4252⫸⊐(⊺⇮2402⨵⪆⊺⇮2654)))⨥⫆((⊺⇮1255⋅⇍⊺⇮1057)⪭≯⊺⇮3554≁↽≥⊺⇮4930⋭≵(⇠(⊺⇮6716∼⊺⇮3912)))=⊺⇮-1","reverse_text":"⊺⇮-1=(((⊺⇮3588⫸⇳⊺⇮4454)⇣⩺⋵(⊺⇮2864∝⊺⇮1713))⪮%⊝(⊺⇮2546⋝⋈⪟⊺⇮4252⫸⊐(⊺⇮2402⨵⪆⊺⇮2654)))⨥⫆((⊺⇮1255⋅⇍⊺⇮1057)⪭≯⊺⇮3554≁↽≥⊺⇮4930⋭≵(⇠(⊺⇮6716∼⊺⇮3912)))","cot":[{"info":"⊺⇮3588⫸⇳⊺⇮4454=⊺⇮0","layer":3},{"info":"⊺⇮2864∝⊺⇮1713=⊺⇮2869","layer":3},{"info":"⊺⇮0⇣⩺⋵⊺⇮2869=⊺⇮-5676","layer":2},{"info":"⊺⇮2546⋝⋈⪟⊺⇮4252=⊺⇮2546","layer":3},{"info":"⊺⇮2402⨵⪆⊺⇮2654=⊺⇮160","layer":3},{"info":"⊺⇮2546⫸⊐⊺⇮160=⊺⇮515","layer":2},{"info":"⊺⇮-5676⪮%⊝⊺⇮515=⊺⇮-11036","layer":1},{"info":"⊺⇮1255⋅⇍⊺⇮1057=⊺⇮-22","layer":3},{"info":"⊺⇮3554≁↽≥⊺⇮4930=⊺⇮63242","layer":3},{"info":"⊺⇮-22⪭≯⊺⇮63242=NaN","layer":2},{"info":"⊺⇮6716∼⊺⇮3912=NaN","layer":3},{"info":"⇠NaN=NaN","layer":2},{"info":"NaN⋭≵NaN=⊺⇮67","layer":1},{"info":"⊺⇮-11036⨥⫆⊺⇮67=⊺⇮-1","layer":0}]}
{"id":455,"expression_no_base_symbol":"(($1804$↑)⪔⊥$3063$⫣⪄⊒$1565$)≁(($3422$∖$4853$)⫸⇳$2725$↳∿⪆$4248$)≀⩗∶((⋗⩴⪓$2757$)⫁($3867$↺$6779$)∷($1402$⪢$1699$)⨿(⇙⪊$4798$))","expression":"((⊺⇮1804↑)⪔⊥⊺⇮3063⫣⪄⊒⊺⇮1565)≁((⊺⇮3422∖⊺⇮4853)⫸⇳⊺⇮2725↳∿⪆⊺⇮4248)≀⩗∶((⋗⩴⪓⊺⇮2757)⫁(⊺⇮3867↺⊺⇮6779)∷(⊺⇮1402⪢⊺⇮1699)⨿(⇙⪊⊺⇮4798))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":7995,"operation_count":15,"complexity_ratio":533.0,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1804,"base":10}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3063,"base":10},"right_expr":{"type":"numeric_atoms","value":1565,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3422,"base":10},"right_expr":{"type":"numeric_atoms","value":4853,"base":10}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2725,"base":10},"right_expr":{"type":"numeric_atoms","value":4248,"base":10}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2757,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3867,"base":10},"right_expr":{"type":"numeric_atoms","value":6779,"base":10}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1402,"base":10},"right_expr":{"type":"numeric_atoms","value":1699,"base":10}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":4798,"base":10}}}}},"used_operators":["8INZBEW696","8N2wDY1A35","HJ9erzHUuu","BThhyOhh10","RabNbG55vr","gx7XJ7hdpj","tXD093vOjl","Cw4SuJJGHO","D3AQDKkPcf","0ajvFaJAv0","nOKPl9n5zu","7j4O788W3g","abYXlopdE0","dWAJyo7jo9","pB6Fcnrjim"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","cHh1gJQ2o6","AHs5Up7iyr","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","k8jYdgA6NY","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1804","layer":4},{"info":"compute unary expreesion, input=1804, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"number node, value=3063","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=3063, right_input=1565, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-3776","layer":3},{"info":"compute binary expreesion, left_input=222, right_input=-3776, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=577","layer":2},{"info":"number node, value=3422","layer":4},{"info":"number node, value=4853","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=4853, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=2725","layer":4},{"info":"number node, value=4248","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=4248, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=577, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":1},{"info":"number node, value=2757","layer":4},{"info":"compute unary expreesion, input=2757, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1844","layer":3},{"info":"number node, value=3867","layer":4},{"info":"number node, value=6779","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=6779, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6779","layer":3},{"info":"compute binary expreesion, left_input=-1844, right_input=6779, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1402","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=1699, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4798","layer":4},{"info":"compute unary expreesion, input=4798, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-954","layer":1},{"info":"compute binary expreesion, left_input=-8941, right_input=-954, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1804↑)⪔⊥⊺⇮3063⫣⪄⊒⊺⇮1565)≁((⊺⇮3422∖⊺⇮4853)⫸⇳⊺⇮2725↳∿⪆⊺⇮4248)≀⩗∶((⋗⩴⪓⊺⇮2757)⫁(⊺⇮3867↺⊺⇮6779)∷(⊺⇮1402⪢⊺⇮1699)⨿(⇙⪊⊺⇮4798))=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮1804↑)⪔⊥⊺⇮3063⫣⪄⊒⊺⇮1565)≁((⊺⇮3422∖⊺⇮4853)⫸⇳⊺⇮2725↳∿⪆⊺⇮4248)≀⩗∶((⋗⩴⪓⊺⇮2757)⫁(⊺⇮3867↺⊺⇮6779)∷(⊺⇮1402⪢⊺⇮1699)⨿(⇙⪊⊺⇮4798))","cot":[{"info":"⊺⇮1804↑=⊺⇮222","layer":3},{"info":"⊺⇮3063⫣⪄⊒⊺⇮1565=⊺⇮-3776","layer":3},{"info":"⊺⇮222⪔⊥⊺⇮-3776=⊺⇮577","layer":2},{"info":"⊺⇮3422∖⊺⇮4853=⊺⇮0","layer":3},{"info":"⊺⇮2725↳∿⪆⊺⇮4248=NaN","layer":3},{"info":"⊺⇮0⫸⇳NaN=⊺⇮0","layer":2},{"info":"⊺⇮577≁⊺⇮0=⊺⇮-8941","layer":1},{"info":"⋗⩴⪓⊺⇮2757=⊺⇮-1844","layer":3},{"info":"⊺⇮3867↺⊺⇮6779=⊺⇮6779","layer":3},{"info":"⊺⇮-1844⫁⊺⇮6779=⊺⇮160","layer":2},{"info":"⊺⇮1402⪢⊺⇮1699=NaN","layer":3},{"info":"⇙⪊⊺⇮4798=⊺⇮0","layer":3},{"info":"NaN⨿⊺⇮0=⊺⇮67","layer":2},{"info":"⊺⇮160∷⊺⇮67=⊺⇮-954","layer":1},{"info":"⊺⇮-8941≀⩗∶⊺⇮-954=⊺⇮0","layer":0}]}
{"id":456,"expression_no_base_symbol":"(($1781$⇷$7351$)⩼⇪↪($1187$⋛$3800$)⊜)⊍","expression":"((⊺⇮1781⇷⊺⇮7351)⩼⇪↪(⊺⇮1187⋛⊺⇮3800)⊜)⊍","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25243,"operation_count":5,"complexity_ratio":5048.6,"tree":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1781,"base":10},"right_expr":{"type":"numeric_atoms","value":7351,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1187,"base":10},"right_expr":{"type":"numeric_atoms","value":3800,"base":10}}}}},"used_operators":["3nqY3DE9mg","Eev2Q7dYIw","ocnLzx9CaJ","mp7IySMOzn","YbUVn0Rbpy"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⊺⇮-21094089","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1781","layer":4},{"info":"number node, value=7351","layer":4},{"info":"compute binary expreesion, left_input=1781, right_input=7351, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14702","layer":3},{"info":"number node, value=1187","layer":4},{"info":"number node, value=3800","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=3800, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-121509","layer":3},{"info":"compute binary expreesion, left_input=14702, right_input=-121509, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=879184","layer":2},{"info":"compute unary expreesion, input=879184, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-3515000","layer":1},{"info":"compute unary expreesion, input=-3515000, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-21094089","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1781⇷⊺⇮7351)⩼⇪↪(⊺⇮1187⋛⊺⇮3800)⊜)⊍=⊺⇮-21094089","reverse_text":"⊺⇮-21094089=((⊺⇮1781⇷⊺⇮7351)⩼⇪↪(⊺⇮1187⋛⊺⇮3800)⊜)⊍","cot":[{"info":"⊺⇮1781⇷⊺⇮7351=⊺⇮14702","layer":3},{"info":"⊺⇮1187⋛⊺⇮3800=⊺⇮-121509","layer":3},{"info":"⊺⇮14702⩼⇪↪⊺⇮-121509=⊺⇮879184","layer":2},{"info":"⊺⇮879184⊜=⊺⇮-3515000","layer":1},{"info":"⊺⇮-3515000⊍=⊺⇮-21094089","layer":0}]}
{"id":457,"expression_no_base_symbol":"(≀↧⇸(⊢≑≆$6829$))⪢((⨮↦↱$2174$)⩢≌)⪡((≉($6977$∙∹∝$4262$))⫳≱↱($3368$⊴⇁⪶)⩖⊿($1096$⩨$2238$))","expression":"(≀↧⇸(⊢≑≆⊺⇮6829))⪢((⨮↦↱⊺⇮2174)⩢≌)⪡((≉(⊺⇮6977∙∹∝⊺⇮4262))⫳≱↱(⊺⇮3368⊴⇁⪶)⩖⊿(⊺⇮1096⩨⊺⇮2238))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17996,"operation_count":12,"complexity_ratio":1499.6666666666667,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":6829,"base":10}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2174,"base":10}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6977,"base":10},"right_expr":{"type":"numeric_atoms","value":4262,"base":10}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":3368,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1096,"base":10},"right_expr":{"type":"numeric_atoms","value":2238,"base":10}}}}},"used_operators":["oraRL2iQuh","dWAJyo7jo9","ljTHtUsqzn","27wFxooxGf","D617RFjZIq","sYcpBQ0cFf","ZvLB05nZmT","e1ybzncUwg","HmxsFra2vL","RZ5CV9rWsJ","oo9mF6JIpo","2DlMacCsIx"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","k8jYdgA6NY","XPYlsWDdGa","23Mk6UjR3U","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","hTbEZDJLEm","o20kRiQErp","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6829","layer":4},{"info":"compute unary expreesion, input=6829, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=27768","layer":3},{"info":"compute unary expreesion, input=27768, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=55536","layer":2},{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-8477466","layer":3},{"info":"compute unary expreesion, input=-8477466, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=55536, right_input=113, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=6977","layer":4},{"info":"number node, value=4262","layer":4},{"info":"compute binary expreesion, left_input=6977, right_input=4262, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"number node, value=3368","layer":4},{"info":"compute unary expreesion, input=3368, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=66418","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=2238, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=66418, right_input=-6, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-265802","layer":2},{"info":"compute binary expreesion, left_input=531, right_input=-265802, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≀↧⇸(⊢≑≆⊺⇮6829))⪢((⨮↦↱⊺⇮2174)⩢≌)⪡((≉(⊺⇮6977∙∹∝⊺⇮4262))⫳≱↱(⊺⇮3368⊴⇁⪶)⩖⊿(⊺⇮1096⩨⊺⇮2238))=NaN","reverse_text":"NaN=(≀↧⇸(⊢≑≆⊺⇮6829))⪢((⨮↦↱⊺⇮2174)⩢≌)⪡((≉(⊺⇮6977∙∹∝⊺⇮4262))⫳≱↱(⊺⇮3368⊴⇁⪶)⩖⊿(⊺⇮1096⩨⊺⇮2238))","cot":[{"info":"⊢≑≆⊺⇮6829=⊺⇮27768","layer":3},{"info":"≀↧⇸⊺⇮27768=⊺⇮55536","layer":2},{"info":"⨮↦↱⊺⇮2174=⊺⇮-8477466","layer":3},{"info":"⊺⇮-8477466⩢≌=⊺⇮113","layer":2},{"info":"⊺⇮55536⪢⊺⇮113=NaN","layer":1},{"info":"⊺⇮6977∙∹∝⊺⇮4262=⊺⇮0","layer":3},{"info":"≉⊺⇮0=⊺⇮531","layer":2},{"info":"⊺⇮3368⊴⇁⪶=⊺⇮66418","layer":3},{"info":"⊺⇮1096⩨⊺⇮2238=⊺⇮-6","layer":3},{"info":"⊺⇮66418⩖⊿⊺⇮-6=⊺⇮-265802","layer":2},{"info":"⊺⇮531⫳≱↱⊺⇮-265802=⊺⇮-204","layer":1},{"info":"NaN⪡⊺⇮-204=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"($4474$⩺⪪$1282$∷$3184$⊉↱≁$1949$)⩷∴($1653$⨟⋌⩍$9173$⨸⪁$1124$↡⊰⫅$1132$)⩺⪪(($8500$⇡)⪛⫼(≦∁$1764$)⫡⨏(⋂(⨝⨆$4019$)))","expression":"(⊺⇮4474⩺⪪⊺⇮1282∷⊺⇮3184⊉↱≁⊺⇮1949)⩷∴(⊺⇮1653⨟⋌⩍⊺⇮9173⨸⪁⊺⇮1124↡⊰⫅⊺⇮1132)⩺⪪((⊺⇮8500⇡)⪛⫼(≦∁⊺⇮1764)⫡⨏(⋂(⨝⨆⊺⇮4019)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16380,"operation_count":14,"complexity_ratio":1170.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4474,"base":10},"right_expr":{"type":"numeric_atoms","value":1282,"base":10}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3184,"base":10},"right_expr":{"type":"numeric_atoms","value":1949,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1653,"base":10},"right_expr":{"type":"numeric_atoms","value":9173,"base":10}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1124,"base":10},"right_expr":{"type":"numeric_atoms","value":1132,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":8500,"base":10}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1764,"base":10}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4019,"base":10}}}}},"used_operators":["uvdQJvN4PV","9FxExcQeMw","D3AQDKkPcf","w2P8NbNXyL","g55IO6H4Gj","rGHVDoGpnC","VCtxkLNOzz","QMFrweE19q","hyuBjUqXlG","UqFzSgLMvQ","9ICcGScMcE","BUOGQAYlQx","bQ67fsrMVf"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","Tcnh7f0tEr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4474","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=1282, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-51970","layer":3},{"info":"number node, value=3184","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=3184, right_input=1949, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=20094","layer":3},{"info":"compute binary expreesion, left_input=-51970, right_input=20094, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=20094","layer":2},{"info":"number node, value=1653","layer":4},{"info":"number node, value=9173","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=9173, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1124","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=1132, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2264","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2264, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20094, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=8500","layer":4},{"info":"compute unary expreesion, input=8500, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=1764","layer":4},{"info":"compute unary expreesion, input=1764, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1764","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=1764, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=4019","layer":4},{"info":"compute unary expreesion, input=4019, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3810","layer":3},{"info":"compute unary expreesion, input=3810, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-52744","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-52744, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-99865","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-99865, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4474⩺⪪⊺⇮1282∷⊺⇮3184⊉↱≁⊺⇮1949)⩷∴(⊺⇮1653⨟⋌⩍⊺⇮9173⨸⪁⊺⇮1124↡⊰⫅⊺⇮1132)⩺⪪((⊺⇮8500⇡)⪛⫼(≦∁⊺⇮1764)⫡⨏(⋂(⨝⨆⊺⇮4019)))=NaN","reverse_text":"NaN=(⊺⇮4474⩺⪪⊺⇮1282∷⊺⇮3184⊉↱≁⊺⇮1949)⩷∴(⊺⇮1653⨟⋌⩍⊺⇮9173⨸⪁⊺⇮1124↡⊰⫅⊺⇮1132)⩺⪪((⊺⇮8500⇡)⪛⫼(≦∁⊺⇮1764)⫡⨏(⋂(⨝⨆⊺⇮4019)))","cot":[{"info":"⊺⇮4474⩺⪪⊺⇮1282=⊺⇮-51970","layer":3},{"info":"⊺⇮3184⊉↱≁⊺⇮1949=⊺⇮20094","layer":3},{"info":"⊺⇮-51970∷⊺⇮20094=⊺⇮20094","layer":2},{"info":"⊺⇮1653⨟⋌⩍⊺⇮9173=NaN","layer":3},{"info":"⊺⇮1124↡⊰⫅⊺⇮1132=⊺⇮2264","layer":3},{"info":"NaN⨸⪁⊺⇮2264=NaN","layer":2},{"info":"⊺⇮20094⩷∴NaN=NaN","layer":1},{"info":"⊺⇮8500⇡=⊺⇮-2917","layer":3},{"info":"≦∁⊺⇮1764=⊺⇮1764","layer":3},{"info":"⊺⇮-2917⪛⫼⊺⇮1764=⊺⇮968","layer":2},{"info":"⨝⨆⊺⇮4019=⊺⇮3810","layer":3},{"info":"⋂⊺⇮3810=⊺⇮-52744","layer":2},{"info":"⊺⇮968⫡⨏⊺⇮-52744=⊺⇮-99865","layer":1},{"info":"NaN⩺⪪⊺⇮-99865=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"($2418$⩺⪪$1515$↡⊰⫅(∂$1310$))↹⊜(($4661$⋻⩜⩜$3018$)∴≳≥)⨲∙","expression":"(⊺⇮2418⩺⪪⊺⇮1515↡⊰⫅(∂⊺⇮1310))↹⊜((⊺⇮4661⋻⩜⩜⊺⇮3018)∴≳≥)⨲∙","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":42621,"operation_count":7,"complexity_ratio":6088.714285714285,"tree":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2418,"base":10},"right_expr":{"type":"numeric_atoms","value":1515,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1310,"base":10}}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4661,"base":10},"right_expr":{"type":"numeric_atoms","value":3018,"base":10}}}}},"used_operators":["cRahaglYVE","9bazX3JMtO","VCtxkLNOzz","uvdQJvN4PV","Uaa54Peajs","a3N2hFLK0J","oDCm7WA9JY"],"dependent_operators":["XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2418","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1515, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-15346","layer":3},{"info":"number node, value=1310","layer":4},{"info":"compute unary expreesion, input=1310, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15346, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=4661","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=4661, right_input=3018, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9322","layer":3},{"info":"compute unary expreesion, input=9322, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=37288","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=37288, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2418⩺⪪⊺⇮1515↡⊰⫅(∂⊺⇮1310))↹⊜((⊺⇮4661⋻⩜⩜⊺⇮3018)∴≳≥)⨲∙=NaN","reverse_text":"NaN=(⊺⇮2418⩺⪪⊺⇮1515↡⊰⫅(∂⊺⇮1310))↹⊜((⊺⇮4661⋻⩜⩜⊺⇮3018)∴≳≥)⨲∙","cot":[{"info":"⊺⇮2418⩺⪪⊺⇮1515=⊺⇮-15346","layer":3},{"info":"∂⊺⇮1310=NaN","layer":3},{"info":"⊺⇮-15346↡⊰⫅NaN=NaN","layer":2},{"info":"⊺⇮4661⋻⩜⩜⊺⇮3018=⊺⇮9322","layer":3},{"info":"⊺⇮9322∴≳≥=⊺⇮37288","layer":2},{"info":"NaN↹⊜⊺⇮37288=NaN","layer":1},{"info":"NaN⨲∙=NaN","layer":0}]}
{"id":460,"expression_no_base_symbol":"($1036$⫣⪄⊒$6338$∛($1103$⊴⇁⪶))∌(($6021$/$3480$)⪍↜⋙$3097$⪮%⊝$1603$)⨎(⨡↴($4448$∋$7129$)⇂≾⫗($5021$≳⇉$3447$))","expression":"(⊺⇮1036⫣⪄⊒⊺⇮6338∛(⊺⇮1103⊴⇁⪶))∌((⊺⇮6021/⊺⇮3480)⪍↜⋙⊺⇮3097⪮%⊝⊺⇮1603)⨎(⨡↴(⊺⇮4448∋⊺⇮7129)⇂≾⫗(⊺⇮5021≳⇉⊺⇮3447))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":140265659,"operation_count":12,"complexity_ratio":11688804.916666666,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1036,"base":10},"right_expr":{"type":"numeric_atoms","value":6338,"base":10}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1103,"base":10}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6021,"base":10},"right_expr":{"type":"numeric_atoms","value":3480,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3097,"base":10},"right_expr":{"type":"numeric_atoms","value":1603,"base":10}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4448,"base":10},"right_expr":{"type":"numeric_atoms","value":7129,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5021,"base":10},"right_expr":{"type":"numeric_atoms","value":3447,"base":10}}}}},"used_operators":["rJVOvQCfKK","8cLx32lpNA","w2537kitQq","RabNbG55vr","oo9mF6JIpo","L05ObWFQCd","XhwjNDsVaA","IWmyXbctLI","liw5iZPkLH","aBQ6xLxuTc","ukq6epAj5P","V0kx6qeWkN"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","P8v4zCKN1o","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1036","layer":4},{"info":"number node, value=6338","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=6338, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-36468","layer":3},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=16588","layer":3},{"info":"compute binary expreesion, left_input=-36468, right_input=16588, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"number node, value=6021","layer":4},{"info":"number node, value=3480","layer":4},{"info":"compute binary expreesion, left_input=6021, right_input=3480, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3097","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=3097, right_input=1603, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6510","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=6510, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-13808","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=-13808, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-676","layer":1},{"info":"number node, value=4448","layer":4},{"info":"number node, value=7129","layer":4},{"info":"compute binary expreesion, left_input=4448, right_input=7129, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=14948912","layer":3},{"info":"number node, value=5021","layer":4},{"info":"number node, value=3447","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=3447, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14948912, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1036⫣⪄⊒⊺⇮6338∛(⊺⇮1103⊴⇁⪶))∌((⊺⇮6021/⊺⇮3480)⪍↜⋙⊺⇮3097⪮%⊝⊺⇮1603)⨎(⨡↴(⊺⇮4448∋⊺⇮7129)⇂≾⫗(⊺⇮5021≳⇉⊺⇮3447))=NaN","reverse_text":"NaN=(⊺⇮1036⫣⪄⊒⊺⇮6338∛(⊺⇮1103⊴⇁⪶))∌((⊺⇮6021/⊺⇮3480)⪍↜⋙⊺⇮3097⪮%⊝⊺⇮1603)⨎(⨡↴(⊺⇮4448∋⊺⇮7129)⇂≾⫗(⊺⇮5021≳⇉⊺⇮3447))","cot":[{"info":"⊺⇮1036⫣⪄⊒⊺⇮6338=⊺⇮-36468","layer":3},{"info":"⊺⇮1103⊴⇁⪶=⊺⇮16588","layer":3},{"info":"⊺⇮-36468∛⊺⇮16588=⊺⇮-676","layer":2},{"info":"⊺⇮6021/⊺⇮3480=⊺⇮1","layer":3},{"info":"⊺⇮3097⪮%⊝⊺⇮1603=⊺⇮6510","layer":3},{"info":"⊺⇮1⪍↜⋙⊺⇮6510=⊺⇮-13808","layer":2},{"info":"⊺⇮-676∌⊺⇮-13808=⊺⇮-676","layer":1},{"info":"⊺⇮4448∋⊺⇮7129=⊺⇮14948912","layer":3},{"info":"⊺⇮5021≳⇉⊺⇮3447=NaN","layer":3},{"info":"⊺⇮14948912⇂≾⫗NaN=NaN","layer":2},{"info":"⨡↴NaN=NaN","layer":1},{"info":"⊺⇮-676⨎NaN=NaN","layer":0}]}
{"id":461,"expression_no_base_symbol":"⨭⩧⫛((($2573$⫲⨊)⩘($2512$∠↢$3310$))∧)","expression":"⨭⩧⫛(((⊺⇮2573⫲⨊)⩘(⊺⇮2512∠↢⊺⇮3310))∧)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":146,"operation_count":5,"complexity_ratio":29.2,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":2573,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2512,"base":10},"right_expr":{"type":"numeric_atoms","value":3310,"base":10}}}}},"used_operators":["g21JL6JxX7","z63VuFQld9","cHh1gJQ2o6","CArV6hThFE","KbjG8mgYpV"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2573","layer":4},{"info":"compute unary expreesion, input=2573, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=13648","layer":3},{"info":"number node, value=2512","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=3310, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-55306","layer":3},{"info":"compute binary expreesion, left_input=13648, right_input=-55306, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨭⩧⫛(((⊺⇮2573⫲⨊)⩘(⊺⇮2512∠↢⊺⇮3310))∧)=NaN","reverse_text":"NaN=⨭⩧⫛(((⊺⇮2573⫲⨊)⩘(⊺⇮2512∠↢⊺⇮3310))∧)","cot":[{"info":"⊺⇮2573⫲⨊=⊺⇮13648","layer":3},{"info":"⊺⇮2512∠↢⊺⇮3310=⊺⇮-55306","layer":3},{"info":"⊺⇮13648⩘⊺⇮-55306=⊺⇮160","layer":2},{"info":"⊺⇮160∧=NaN","layer":1},{"info":"⨭⩧⫛NaN=NaN","layer":0}]}
{"id":462,"expression_no_base_symbol":"(∟⋨((⨆≐≲$1025$)⨪↰⇹(⨝⨆$1332$)))⪎↠(($2829$⊨$4625$)⪝$1407$⇡⇂$1416$⪕$3560$∴$3202$⇤($4304$⨪↰⇹$4350$))","expression":"(∟⋨((⨆≐≲⊺⇮1025)⨪↰⇹(⨝⨆⊺⇮1332)))⪎↠((⊺⇮2829⊨⊺⇮4625)⪝⊺⇮1407⇡⇂⊺⇮1416⪕⊺⇮3560∴⊺⇮3202⇤(⊺⇮4304⨪↰⇹⊺⇮4350))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14383,"operation_count":12,"complexity_ratio":1198.5833333333333,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1025,"base":10}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1332,"base":10}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2829,"base":10},"right_expr":{"type":"numeric_atoms","value":4625,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1407,"base":10},"right_expr":{"type":"numeric_atoms","value":1416,"base":10}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3560,"base":10},"right_expr":{"type":"numeric_atoms","value":3202,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4304,"base":10},"right_expr":{"type":"numeric_atoms","value":4350,"base":10}}}}},"used_operators":["3tVxb0NHM4","ctOc4cKSDt","tmPS8pqC7x","Bi9z9uYZqW","bQ67fsrMVf","umQnsF7QlU","wicAB68Tmb","vg4gO5BX6G","UMwdvZNt44","YSKBFp38Pu","hrf7POJlIJ"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","tmPS8pqC7x","rJVOvQCfKK","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","tifHPKVTfV","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=10884120","layer":3},{"info":"number node, value=1332","layer":4},{"info":"compute unary expreesion, input=1332, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1123","layer":3},{"info":"compute binary expreesion, left_input=10884120, right_input=1123, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=nan","layer":1},{"info":"number node, value=2829","layer":4},{"info":"number node, value=4625","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=4625, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=12347","layer":3},{"info":"number node, value=1407","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1416, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12347, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=3560","layer":4},{"info":"number node, value=3202","layer":4},{"info":"compute binary expreesion, left_input=3560, right_input=3202, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8768","layer":3},{"info":"number node, value=4304","layer":4},{"info":"number node, value=4350","layer":4},{"info":"compute binary expreesion, left_input=4304, right_input=4350, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4304","layer":3},{"info":"compute binary expreesion, left_input=8768, right_input=4304, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-62512","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-62512, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=935, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∟⋨((⨆≐≲⊺⇮1025)⨪↰⇹(⨝⨆⊺⇮1332)))⪎↠((⊺⇮2829⊨⊺⇮4625)⪝⊺⇮1407⇡⇂⊺⇮1416⪕⊺⇮3560∴⊺⇮3202⇤(⊺⇮4304⨪↰⇹⊺⇮4350))=NaN","reverse_text":"NaN=(∟⋨((⨆≐≲⊺⇮1025)⨪↰⇹(⨝⨆⊺⇮1332)))⪎↠((⊺⇮2829⊨⊺⇮4625)⪝⊺⇮1407⇡⇂⊺⇮1416⪕⊺⇮3560∴⊺⇮3202⇤(⊺⇮4304⨪↰⇹⊺⇮4350))","cot":[{"info":"⨆≐≲⊺⇮1025=⊺⇮10884120","layer":3},{"info":"⨝⨆⊺⇮1332=⊺⇮1123","layer":3},{"info":"⊺⇮10884120⨪↰⇹⊺⇮1123=NaN","layer":2},{"info":"∟⋨NaN=NaN","layer":1},{"info":"⊺⇮2829⊨⊺⇮4625=⊺⇮12347","layer":3},{"info":"⊺⇮1407⇡⇂⊺⇮1416=NaN","layer":3},{"info":"⊺⇮12347⪝NaN=NaN","layer":2},{"info":"⊺⇮3560∴⊺⇮3202=⊺⇮8768","layer":3},{"info":"⊺⇮4304⨪↰⇹⊺⇮4350=⊺⇮4304","layer":3},{"info":"⊺⇮8768⇤⊺⇮4304=⊺⇮-62512","layer":2},{"info":"NaN⪕⊺⇮-62512=⊺⇮935","layer":1},{"info":"NaN⪎↠⊺⇮935=NaN","layer":0}]}
{"id":463,"expression_no_base_symbol":"⇵⪽(→⩰(($2138$⫣⪄⊒$1309$)⫑))","expression":"⇵⪽(→⩰((⊺⇮2138⫣⪄⊒⊺⇮1309)⫑))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":706,"operation_count":4,"complexity_ratio":176.5,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2138,"base":10},"right_expr":{"type":"numeric_atoms","value":1309,"base":10}}}}},"used_operators":["ZGCBLdVRRX","o8Pngz0Tml","CgIo77xlM2","RabNbG55vr"],"dependent_operators":["U7g4x0WXJJ","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2138","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=2138, right_input=1309, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-4090","layer":3},{"info":"compute unary expreesion, input=-4090, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":2},{"info":"compute unary expreesion, input=-480, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇵⪽(→⩰((⊺⇮2138⫣⪄⊒⊺⇮1309)⫑))=NaN","reverse_text":"NaN=⇵⪽(→⩰((⊺⇮2138⫣⪄⊒⊺⇮1309)⫑))","cot":[{"info":"⊺⇮2138⫣⪄⊒⊺⇮1309=⊺⇮-4090","layer":3},{"info":"⊺⇮-4090⫑=⊺⇮-480","layer":2},{"info":"→⩰⊺⇮-480=NaN","layer":1},{"info":"⇵⪽NaN=NaN","layer":0}]}
{"id":464,"expression_no_base_symbol":"((⩏⊷≩$5565$⨥⫆$2188$)≃⋄)⨪↰⇹(($1044$⩹$6399$)≠≀(⫛⫱⨽$1117$)%($1033$∴≳≥)∀⇚≩($1022$⫸⊐$1637$))","expression":"((⩏⊷≩⊺⇮5565⨥⫆⊺⇮2188)≃⋄)⨪↰⇹((⊺⇮1044⩹⊺⇮6399)≠≀(⫛⫱⨽⊺⇮1117)%(⊺⇮1033∴≳≥)∀⇚≩(⊺⇮1022⫸⊐⊺⇮1637))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31210,"operation_count":11,"complexity_ratio":2837.2727272727275,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":5565,"base":10},"right_expr":{"type":"numeric_atoms","value":2188,"base":10}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1044,"base":10},"right_expr":{"type":"numeric_atoms","value":6399,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1117,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1033,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1022,"base":10},"right_expr":{"type":"numeric_atoms","value":1637,"base":10}}}}},"used_operators":["tmPS8pqC7x","aN9a90urxU","uOZ1tnYMDE","yXekIHxTD4","k8jYdgA6NY","IwW236VD4Y","2Wsdkap16l","DlLNRPXxWL","LRNGc0VcxI","a3N2hFLK0J","mqXw5SEYmG"],"dependent_operators":["rJVOvQCfKK","uFcxV4UQCh","jLgFTUHLKL","23Mk6UjR3U","12rbrZMWeM","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rGHVDoGpnC","X99M06cbEe","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⊺⇮764","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5565","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=5565, right_input=2188, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4252","layer":3},{"info":"compute unary expreesion, input=4252, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=8203","layer":2},{"info":"compute unary expreesion, input=8203, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":1},{"info":"number node, value=1044","layer":4},{"info":"number node, value=6399","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=6399, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=6397","layer":3},{"info":"number node, value=1117","layer":4},{"info":"compute unary expreesion, input=1117, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6397, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6518","layer":2},{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=4132","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1637, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6423","layer":3},{"info":"compute binary expreesion, left_input=4132, right_input=6423, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6518, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=764, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=764","layer":0}],"base":10,"result_base":10,"text":"((⩏⊷≩⊺⇮5565⨥⫆⊺⇮2188)≃⋄)⨪↰⇹((⊺⇮1044⩹⊺⇮6399)≠≀(⫛⫱⨽⊺⇮1117)%(⊺⇮1033∴≳≥)∀⇚≩(⊺⇮1022⫸⊐⊺⇮1637))=⊺⇮764","reverse_text":"⊺⇮764=((⩏⊷≩⊺⇮5565⨥⫆⊺⇮2188)≃⋄)⨪↰⇹((⊺⇮1044⩹⊺⇮6399)≠≀(⫛⫱⨽⊺⇮1117)%(⊺⇮1033∴≳≥)∀⇚≩(⊺⇮1022⫸⊐⊺⇮1637))","cot":[{"info":"⊺⇮5565⨥⫆⊺⇮2188=⊺⇮4252","layer":3},{"info":"⩏⊷≩⊺⇮4252=⊺⇮8203","layer":2},{"info":"⊺⇮8203≃⋄=⊺⇮764","layer":1},{"info":"⊺⇮1044⩹⊺⇮6399=⊺⇮6397","layer":3},{"info":"⫛⫱⨽⊺⇮1117=⊺⇮0","layer":3},{"info":"⊺⇮6397≠≀⊺⇮0=⊺⇮-6518","layer":2},{"info":"⊺⇮1033∴≳≥=⊺⇮4132","layer":3},{"info":"⊺⇮1022⫸⊐⊺⇮1637=⊺⇮6423","layer":3},{"info":"⊺⇮4132∀⇚≩⊺⇮6423=NaN","layer":2},{"info":"⊺⇮-6518%NaN=NaN","layer":1},{"info":"⊺⇮764⨪↰⇹NaN=⊺⇮764","layer":0}]}
{"id":465,"expression_no_base_symbol":"(($1463$⇆⨓≜)⋥≓≎(↸⊣$4426$))≥⨤⩑(⊵⊁($1647$⨳⩥⨓$1017$))≓∲(($7899$⋾⨃∁$1105$)⨑⩅≇($4375$≎⊠⪸$1892$)⨴∎)","expression":"((⊺⇮1463⇆⨓≜)⋥≓≎(↸⊣⊺⇮4426))≥⨤⩑(⊵⊁(⊺⇮1647⨳⩥⨓⊺⇮1017))≓∲((⊺⇮7899⋾⨃∁⊺⇮1105)⨑⩅≇(⊺⇮4375≎⊠⪸⊺⇮1892)⨴∎)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2350043,"operation_count":11,"complexity_ratio":213640.27272727274,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1463,"base":10}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":4426,"base":10}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1647,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":7899,"base":10},"right_expr":{"type":"numeric_atoms","value":1105,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4375,"base":10},"right_expr":{"type":"numeric_atoms","value":1892,"base":10}}}}},"used_operators":["s1XTVnmDOJ","gJLn6v0xnP","Qy55tPpLXF","KvvgdUaMHJ","wztAlM01eG","AvED76WdY7","nCS4ZIUYfx","CpSg5vQTgA","h92wMvzauj","212REbPD9h","bJkvcejdHO"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","KYD54nUTWz","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=4426","layer":4},{"info":"compute unary expreesion, input=4426, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-4139","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4139, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1647","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=1017, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-630","layer":3},{"info":"compute unary expreesion, input=-630, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=7899","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=7899, right_input=1105, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=12196896","layer":3},{"info":"number node, value=4375","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=4375, right_input=1892, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1132652","layer":3},{"info":"compute binary expreesion, left_input=12196896, right_input=1132652, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-36590688","layer":2},{"info":"compute unary expreesion, input=-36590688, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1463⇆⨓≜)⋥≓≎(↸⊣⊺⇮4426))≥⨤⩑(⊵⊁(⊺⇮1647⨳⩥⨓⊺⇮1017))≓∲((⊺⇮7899⋾⨃∁⊺⇮1105)⨑⩅≇(⊺⇮4375≎⊠⪸⊺⇮1892)⨴∎)=NaN","reverse_text":"NaN=((⊺⇮1463⇆⨓≜)⋥≓≎(↸⊣⊺⇮4426))≥⨤⩑(⊵⊁(⊺⇮1647⨳⩥⨓⊺⇮1017))≓∲((⊺⇮7899⋾⨃∁⊺⇮1105)⨑⩅≇(⊺⇮4375≎⊠⪸⊺⇮1892)⨴∎)","cot":[{"info":"⊺⇮1463⇆⨓≜=NaN","layer":3},{"info":"↸⊣⊺⇮4426=⊺⇮-4139","layer":3},{"info":"NaN⋥≓≎⊺⇮-4139=⊺⇮67","layer":2},{"info":"⊺⇮1647⨳⩥⨓⊺⇮1017=⊺⇮-630","layer":3},{"info":"⊵⊁⊺⇮-630=⊺⇮0","layer":2},{"info":"⊺⇮67≥⨤⩑⊺⇮0=⊺⇮1234","layer":1},{"info":"⊺⇮7899⋾⨃∁⊺⇮1105=⊺⇮12196896","layer":3},{"info":"⊺⇮4375≎⊠⪸⊺⇮1892=⊺⇮1132652","layer":3},{"info":"⊺⇮12196896⨑⩅≇⊺⇮1132652=⊺⇮-36590688","layer":2},{"info":"⊺⇮-36590688⨴∎=NaN","layer":1},{"info":"⊺⇮1234≓∲NaN=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"(($7652$⊍⩺⋍$1058$)⨔⇊($2011$⊋$5772$))⊮⊟↴($3431$∳⫺$1081$)⫗⊷⫓($3624$≁↽≥$1667$)/(∮(∜⨇$1004$))≳⇉($1724$≄⊠$3354$∲⫓$5408$-$6015$)","expression":"((⊺⇮7652⊍⩺⋍⊺⇮1058)⨔⇊(⊺⇮2011⊋⊺⇮5772))⊮⊟↴(⊺⇮3431∳⫺⊺⇮1081)⫗⊷⫓(⊺⇮3624≁↽≥⊺⇮1667)/(∮(∜⨇⊺⇮1004))≳⇉(⊺⇮1724≄⊠⊺⇮3354∲⫓⊺⇮5408-⊺⇮6015)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":67389,"operation_count":14,"complexity_ratio":4813.5,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":7652,"base":10},"right_expr":{"type":"numeric_atoms","value":1058,"base":10}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2011,"base":10},"right_expr":{"type":"numeric_atoms","value":5772,"base":10}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3431,"base":10},"right_expr":{"type":"numeric_atoms","value":1081,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3624,"base":10},"right_expr":{"type":"numeric_atoms","value":1667,"base":10}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1004,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1724,"base":10},"right_expr":{"type":"numeric_atoms","value":3354,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5408,"base":10},"right_expr":{"type":"numeric_atoms","value":6015,"base":10}}}}},"used_operators":["XhwjNDsVaA","QDVgd2eftb","JclMnS0uGI","OXDGMFPWZM","W4tP9CfskL","zashukvMKz","AzXXKTstlj","ncHt1X6cMc","V0kx6qeWkN","CqXKPLVYql","uFPyJr306J","i8ToyICDmI","vXNesLlMH1","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","oWn0xqSxBt","3Oe9XWJUTD","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7652","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=7652, right_input=1058, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2011","layer":4},{"info":"number node, value=5772","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=5772, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-169470104","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-169470104, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"number node, value=3431","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=3431, right_input=1081, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=3624","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=3624, right_input=1667, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=53622","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=53622, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-134, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":2},{"info":"number node, value=1724","layer":4},{"info":"number node, value=3354","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=3354, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=58332","layer":3},{"info":"number node, value=5408","layer":4},{"info":"number node, value=6015","layer":4},{"info":"compute binary expreesion, left_input=5408, right_input=6015, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-607","layer":3},{"info":"compute binary expreesion, left_input=58332, right_input=-607, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=58332","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=58332, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7652⊍⩺⋍⊺⇮1058)⨔⇊(⊺⇮2011⊋⊺⇮5772))⊮⊟↴(⊺⇮3431∳⫺⊺⇮1081)⫗⊷⫓(⊺⇮3624≁↽≥⊺⇮1667)/(∮(∜⨇⊺⇮1004))≳⇉(⊺⇮1724≄⊠⊺⇮3354∲⫓⊺⇮5408-⊺⇮6015)=NaN","reverse_text":"NaN=((⊺⇮7652⊍⩺⋍⊺⇮1058)⨔⇊(⊺⇮2011⊋⊺⇮5772))⊮⊟↴(⊺⇮3431∳⫺⊺⇮1081)⫗⊷⫓(⊺⇮3624≁↽≥⊺⇮1667)/(∮(∜⨇⊺⇮1004))≳⇉(⊺⇮1724≄⊠⊺⇮3354∲⫓⊺⇮5408-⊺⇮6015)","cot":[{"info":"⊺⇮7652⊍⩺⋍⊺⇮1058=NaN","layer":3},{"info":"⊺⇮2011⊋⊺⇮5772=⊺⇮-169470104","layer":3},{"info":"NaN⨔⇊⊺⇮-169470104=⊺⇮67","layer":2},{"info":"⊺⇮3431∳⫺⊺⇮1081=⊺⇮-260","layer":3},{"info":"⊺⇮3624≁↽≥⊺⇮1667=⊺⇮53622","layer":3},{"info":"⊺⇮-260⫗⊷⫓⊺⇮53622=⊺⇮-134","layer":2},{"info":"⊺⇮67⊮⊟↴⊺⇮-134=⊺⇮0","layer":1},{"info":"∜⨇⊺⇮1004=NaN","layer":3},{"info":"∮NaN=NaN","layer":2},{"info":"⊺⇮1724≄⊠⊺⇮3354=⊺⇮58332","layer":3},{"info":"⊺⇮5408-⊺⇮6015=⊺⇮-607","layer":3},{"info":"⊺⇮58332∲⫓⊺⇮-607=⊺⇮58332","layer":2},{"info":"NaN≳⇉⊺⇮58332=NaN","layer":1},{"info":"⊺⇮0/NaN=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"((⋗⩬⋾($3910$↙$2129$))⋛(⊊≼∋($2220$⋕⪉⪜$5349$)))⨥⫆((↸⊣$4306$∊∟⩊$1905$)⋣⋖(($3615$≀⩗∶$3193$)⨽($6147$%$3846$)))","expression":"((⋗⩬⋾(⊺⇮3910↙⊺⇮2129))⋛(⊊≼∋(⊺⇮2220⋕⪉⪜⊺⇮5349)))⨥⫆((↸⊣⊺⇮4306∊∟⩊⊺⇮1905)⋣⋖((⊺⇮3615≀⩗∶⊺⇮3193)⨽(⊺⇮6147%⊺⇮3846)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5857,"operation_count":12,"complexity_ratio":488.0833333333333,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3910,"base":10},"right_expr":{"type":"numeric_atoms","value":2129,"base":10}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2220,"base":10},"right_expr":{"type":"numeric_atoms","value":5349,"base":10}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4306,"base":10},"right_expr":{"type":"numeric_atoms","value":1905,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3615,"base":10},"right_expr":{"type":"numeric_atoms","value":3193,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6147,"base":10},"right_expr":{"type":"numeric_atoms","value":3846,"base":10}}}}},"used_operators":["yXekIHxTD4","YbUVn0Rbpy","DpFCA1CohY","yyfyN0ffXY","FWz7pXsQhA","z6LnFrNh4i","J0M6qkBnIM","wztAlM01eG","ddLRYrp01A","8HhzD0ZcuI","8INZBEW696","k8jYdgA6NY"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","jCPkEVoL5K","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z"],"result":"⊺⇮-1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3910","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=3910, right_input=2129, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6387","layer":3},{"info":"compute unary expreesion, input=-6387, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=19161","layer":2},{"info":"number node, value=2220","layer":4},{"info":"number node, value=5349","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=5349, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-917","layer":2},{"info":"compute binary expreesion, left_input=19161, right_input=-917, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-2106","layer":1},{"info":"number node, value=4306","layer":4},{"info":"number node, value=1905","layer":4},{"info":"compute binary expreesion, left_input=4306, right_input=1905, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1905","layer":3},{"info":"compute unary expreesion, input=1905, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1618","layer":2},{"info":"number node, value=3615","layer":4},{"info":"number node, value=3193","layer":4},{"info":"compute binary expreesion, left_input=3615, right_input=3193, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=6147","layer":4},{"info":"number node, value=3846","layer":4},{"info":"compute binary expreesion, left_input=6147, right_input=3846, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2301","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2301, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5589","layer":2},{"info":"compute binary expreesion, left_input=-1618, right_input=-5589, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-2106, right_input=-527, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":0}],"base":10,"result_base":10,"text":"((⋗⩬⋾(⊺⇮3910↙⊺⇮2129))⋛(⊊≼∋(⊺⇮2220⋕⪉⪜⊺⇮5349)))⨥⫆((↸⊣⊺⇮4306∊∟⩊⊺⇮1905)⋣⋖((⊺⇮3615≀⩗∶⊺⇮3193)⨽(⊺⇮6147%⊺⇮3846)))=⊺⇮-1","reverse_text":"⊺⇮-1=((⋗⩬⋾(⊺⇮3910↙⊺⇮2129))⋛(⊊≼∋(⊺⇮2220⋕⪉⪜⊺⇮5349)))⨥⫆((↸⊣⊺⇮4306∊∟⩊⊺⇮1905)⋣⋖((⊺⇮3615≀⩗∶⊺⇮3193)⨽(⊺⇮6147%⊺⇮3846)))","cot":[{"info":"⊺⇮3910↙⊺⇮2129=⊺⇮-6387","layer":3},{"info":"⋗⩬⋾⊺⇮-6387=⊺⇮19161","layer":2},{"info":"⊺⇮2220⋕⪉⪜⊺⇮5349=⊺⇮204","layer":3},{"info":"⊊≼∋⊺⇮204=⊺⇮-917","layer":2},{"info":"⊺⇮19161⋛⊺⇮-917=⊺⇮-2106","layer":1},{"info":"⊺⇮4306∊∟⩊⊺⇮1905=⊺⇮1905","layer":3},{"info":"↸⊣⊺⇮1905=⊺⇮-1618","layer":2},{"info":"⊺⇮3615≀⩗∶⊺⇮3193=⊺⇮0","layer":3},{"info":"⊺⇮6147%⊺⇮3846=⊺⇮2301","layer":3},{"info":"⊺⇮0⨽⊺⇮2301=⊺⇮-5589","layer":2},{"info":"⊺⇮-1618⋣⋖⊺⇮-5589=⊺⇮-527","layer":1},{"info":"⊺⇮-2106⨥⫆⊺⇮-527=⊺⇮-1","layer":0}]}
{"id":468,"expression_no_base_symbol":"(⊊≼∋((⊢≑≆$2869$)⊝⪿⪼$3682$⫒⫫$1316$))⊲⩕⊾($4024$⫔⩽⩺$1585$)↳≱($1450$⫁⪎$3297$)⊴($4296$⪬$4399$≬⇓($1039$⇼⇔∾$1653$))","expression":"(⊊≼∋((⊢≑≆⊺⇮2869)⊝⪿⪼⊺⇮3682⫒⫫⊺⇮1316))⊲⩕⊾(⊺⇮4024⫔⩽⩺⊺⇮1585)↳≱(⊺⇮1450⫁⪎⊺⇮3297)⊴(⊺⇮4296⪬⊺⇮4399≬⇓(⊺⇮1039⇼⇔∾⊺⇮1653))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":189655,"operation_count":12,"complexity_ratio":15804.583333333334,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2869,"base":10}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3682,"base":10},"right_expr":{"type":"numeric_atoms","value":1316,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4024,"base":10},"right_expr":{"type":"numeric_atoms","value":1585,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1450,"base":10},"right_expr":{"type":"numeric_atoms","value":3297,"base":10}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4296,"base":10},"right_expr":{"type":"numeric_atoms","value":4399,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1039,"base":10},"right_expr":{"type":"numeric_atoms","value":1653,"base":10}}}}},"used_operators":["DmTXOeWf9t","FWz7pXsQhA","3Oe9XWJUTD","27wFxooxGf","6Ko8hGgeMq","Nsiff2A1zJ","JwTKLfZU96","i9eR4S00cU","xRrnTEsQ6j","jWTQ2TZYIH","Ez1Nq5fNfI","tifHPKVTfV"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","jCPkEVoL5K","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","dWAJyo7jo9","14qkJME0vr","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Tw270M8GLb","fu6greOZ01","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2869","layer":4},{"info":"compute unary expreesion, input=2869, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=11928","layer":3},{"info":"number node, value=3682","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=1316, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11928, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=188852","layer":2},{"info":"compute unary expreesion, input=188852, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"number node, value=4024","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=4024, right_input=1585, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1450","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=3297, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1847","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1847, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=4296","layer":4},{"info":"number node, value=4399","layer":4},{"info":"compute binary expreesion, left_input=4296, right_input=4399, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=1653, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=614","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=614, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-22, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊊≼∋((⊢≑≆⊺⇮2869)⊝⪿⪼⊺⇮3682⫒⫫⊺⇮1316))⊲⩕⊾(⊺⇮4024⫔⩽⩺⊺⇮1585)↳≱(⊺⇮1450⫁⪎⊺⇮3297)⊴(⊺⇮4296⪬⊺⇮4399≬⇓(⊺⇮1039⇼⇔∾⊺⇮1653))=NaN","reverse_text":"NaN=(⊊≼∋((⊢≑≆⊺⇮2869)⊝⪿⪼⊺⇮3682⫒⫫⊺⇮1316))⊲⩕⊾(⊺⇮4024⫔⩽⩺⊺⇮1585)↳≱(⊺⇮1450⫁⪎⊺⇮3297)⊴(⊺⇮4296⪬⊺⇮4399≬⇓(⊺⇮1039⇼⇔∾⊺⇮1653))","cot":[{"info":"⊢≑≆⊺⇮2869=⊺⇮11928","layer":3},{"info":"⊺⇮3682⫒⫫⊺⇮1316=NaN","layer":3},{"info":"⊺⇮11928⊝⪿⪼NaN=⊺⇮188852","layer":2},{"info":"⊊≼∋⊺⇮188852=⊺⇮-447","layer":1},{"info":"⊺⇮4024⫔⩽⩺⊺⇮1585=NaN","layer":3},{"info":"⊺⇮1450⫁⪎⊺⇮3297=⊺⇮-1847","layer":3},{"info":"NaN↳≱⊺⇮-1847=⊺⇮0","layer":2},{"info":"⊺⇮4296⪬⊺⇮4399=⊺⇮1234","layer":3},{"info":"⊺⇮1039⇼⇔∾⊺⇮1653=⊺⇮614","layer":3},{"info":"⊺⇮1234≬⇓⊺⇮614=⊺⇮-22","layer":2},{"info":"⊺⇮0⊴⊺⇮-22=NaN","layer":1},{"info":"⊺⇮-447⊲⩕⊾NaN=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"($8170$⨝⩣∺)⇍⊗(⨂⪏⇭$1340$)⪛($2908$≹⇙⪍$1953$∌↝$4585$≦↸$3862$)⇴∐((-$1107$)⨳⩥⨓($4745$⨘⋶⪀)⪨≂($1468$≒∊$7323$)⋣⋖(↡$1190$))","expression":"(⊺⇮8170⨝⩣∺)⇍⊗(⨂⪏⇭⊺⇮1340)⪛(⊺⇮2908≹⇙⪍⊺⇮1953∌↝⊺⇮4585≦↸⊺⇮3862)⇴∐((-⊺⇮1107)⨳⩥⨓(⊺⇮4745⨘⋶⪀)⪨≂(⊺⇮1468≒∊⊺⇮7323)⋣⋖(↡⊺⇮1190))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":240,"operation_count":15,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":8170,"base":10}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1340,"base":10}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2908,"base":10},"right_expr":{"type":"numeric_atoms","value":1953,"base":10}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4585,"base":10},"right_expr":{"type":"numeric_atoms","value":3862,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1107,"base":10}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":4745,"base":10}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1468,"base":10},"right_expr":{"type":"numeric_atoms","value":7323,"base":10}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1190,"base":10}}}}},"used_operators":["HnzytWxmAO","uFcxV4UQCh","5uvYHDjeKN","ancx8kZcWl","AYdpE9sXAk","9Isq31Ruls","AHs5Up7iyr","RygbFNSyEJ","sdazOOVcIp","nCS4ZIUYfx","t8gj7n24qd","XVKwrhznBb","J0M6qkBnIM","5KTvxBwnZo","MXaNJeIAZ3"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DZ8iAZOCBD","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8170","layer":4},{"info":"compute unary expreesion, input=8170, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-16340","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=3041","layer":3},{"info":"compute binary expreesion, left_input=-16340, right_input=3041, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2908","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=1953, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4585","layer":4},{"info":"number node, value=3862","layer":4},{"info":"compute binary expreesion, left_input=4585, right_input=3862, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-16213","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16213, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1107","layer":3},{"info":"number node, value=4745","layer":4},{"info":"compute unary expreesion, input=4745, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1107, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1468","layer":4},{"info":"number node, value=7323","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=7323, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-984","layer":3},{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=10710","layer":3},{"info":"compute binary expreesion, left_input=-984, right_input=10710, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-984","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-984, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮8170⨝⩣∺)⇍⊗(⨂⪏⇭⊺⇮1340)⪛(⊺⇮2908≹⇙⪍⊺⇮1953∌↝⊺⇮4585≦↸⊺⇮3862)⇴∐((-⊺⇮1107)⨳⩥⨓(⊺⇮4745⨘⋶⪀)⪨≂(⊺⇮1468≒∊⊺⇮7323)⋣⋖(↡⊺⇮1190))=NaN","reverse_text":"NaN=(⊺⇮8170⨝⩣∺)⇍⊗(⨂⪏⇭⊺⇮1340)⪛(⊺⇮2908≹⇙⪍⊺⇮1953∌↝⊺⇮4585≦↸⊺⇮3862)⇴∐((-⊺⇮1107)⨳⩥⨓(⊺⇮4745⨘⋶⪀)⪨≂(⊺⇮1468≒∊⊺⇮7323)⋣⋖(↡⊺⇮1190))","cot":[{"info":"⊺⇮8170⨝⩣∺=⊺⇮-16340","layer":3},{"info":"⨂⪏⇭⊺⇮1340=⊺⇮3041","layer":3},{"info":"⊺⇮-16340⇍⊗⊺⇮3041=⊺⇮-244","layer":2},{"info":"⊺⇮2908≹⇙⪍⊺⇮1953=NaN","layer":3},{"info":"⊺⇮4585≦↸⊺⇮3862=⊺⇮-16213","layer":3},{"info":"NaN∌↝⊺⇮-16213=NaN","layer":2},{"info":"⊺⇮-244⪛NaN=NaN","layer":1},{"info":"-⊺⇮1107=⊺⇮-1107","layer":3},{"info":"⊺⇮4745⨘⋶⪀=NaN","layer":3},{"info":"⊺⇮-1107⨳⩥⨓NaN=NaN","layer":2},{"info":"⊺⇮1468≒∊⊺⇮7323=⊺⇮-984","layer":3},{"info":"↡⊺⇮1190=⊺⇮10710","layer":3},{"info":"⊺⇮-984⋣⋖⊺⇮10710=⊺⇮-984","layer":2},{"info":"NaN⪨≂⊺⇮-984=NaN","layer":1},{"info":"NaN⇴∐NaN=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"(↩($2403$/$2655$)⪇≇⋚($7023$⊾⪯⋞$3194$))⋐⇩⊬","expression":"(↩(⊺⇮2403/⊺⇮2655)⪇≇⋚(⊺⇮7023⊾⪯⋞⊺⇮3194))⋐⇩⊬","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":89,"operation_count":5,"complexity_ratio":17.8,"tree":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2403,"base":10},"right_expr":{"type":"numeric_atoms","value":2655,"base":10}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":7023,"base":10},"right_expr":{"type":"numeric_atoms","value":3194,"base":10}}}}},"used_operators":["JuuLT1NoCs","jLgFTUHLKL","3sJ7IOPOlU","XhwjNDsVaA","HK0tfVPux8"],"dependent_operators":["mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⊺⇮4844","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2403","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=2655, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=7023","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=7023, right_input=3194, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5962","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5962, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":1},{"info":"compute unary expreesion, input=4844, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=4844","layer":0}],"base":10,"result_base":10,"text":"(↩(⊺⇮2403/⊺⇮2655)⪇≇⋚(⊺⇮7023⊾⪯⋞⊺⇮3194))⋐⇩⊬=⊺⇮4844","reverse_text":"⊺⇮4844=(↩(⊺⇮2403/⊺⇮2655)⪇≇⋚(⊺⇮7023⊾⪯⋞⊺⇮3194))⋐⇩⊬","cot":[{"info":"⊺⇮2403/⊺⇮2655=⊺⇮0","layer":3},{"info":"⊺⇮7023⊾⪯⋞⊺⇮3194=⊺⇮5962","layer":3},{"info":"⊺⇮0⪇≇⋚⊺⇮5962=⊺⇮0","layer":2},{"info":"↩⊺⇮0=⊺⇮4844","layer":1},{"info":"⊺⇮4844⋐⇩⊬=⊺⇮4844","layer":0}]}
{"id":471,"expression_no_base_symbol":"(⊬↢($1539$≓∲$5620$)⪃⊛⇣(⪁⇼$3382$))∳⫺(∨∊⋏($2221$⋝⋈⪟$5667$⪔($2651$⪐)))","expression":"(⊬↢(⊺⇮1539≓∲⊺⇮5620)⪃⊛⇣(⪁⇼⊺⇮3382))∳⫺(∨∊⋏(⊺⇮2221⋝⋈⪟⊺⇮5667⪔(⊺⇮2651⪐)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7444,"operation_count":9,"complexity_ratio":827.1111111111111,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1539,"base":10},"right_expr":{"type":"numeric_atoms","value":5620,"base":10}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":3382,"base":10}}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2221,"base":10},"right_expr":{"type":"numeric_atoms","value":5667,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2651,"base":10}}}}},"used_operators":["AzXXKTstlj","WPoGxAaPR1","rrgAzCduG9","s1XTVnmDOJ","ZNVVrZ94lY","R5aXW34M0v","GjBEYRfMaF","2DDjHMKMc0","eH2TOUuTDT"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1539","layer":4},{"info":"number node, value=5620","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=5620, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=16173","layer":3},{"info":"number node, value=3382","layer":4},{"info":"compute unary expreesion, input=3382, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=16173, right_input=422, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"number node, value=2221","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=5667, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2221","layer":3},{"info":"number node, value=2651","layer":4},{"info":"compute unary expreesion, input=2651, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5302","layer":3},{"info":"compute binary expreesion, left_input=2221, right_input=5302, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute unary expreesion, input=450, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-2401","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=-2401, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":10,"result_base":10,"text":"(⊬↢(⊺⇮1539≓∲⊺⇮5620)⪃⊛⇣(⪁⇼⊺⇮3382))∳⫺(∨∊⋏(⊺⇮2221⋝⋈⪟⊺⇮5667⪔(⊺⇮2651⪐)))=⊺⇮-260","reverse_text":"⊺⇮-260=(⊬↢(⊺⇮1539≓∲⊺⇮5620)⪃⊛⇣(⪁⇼⊺⇮3382))∳⫺(∨∊⋏(⊺⇮2221⋝⋈⪟⊺⇮5667⪔(⊺⇮2651⪐)))","cot":[{"info":"⊺⇮1539≓∲⊺⇮5620=⊺⇮16173","layer":3},{"info":"⪁⇼⊺⇮3382=⊺⇮422","layer":3},{"info":"⊺⇮16173⪃⊛⇣⊺⇮422=⊺⇮1234","layer":2},{"info":"⊬↢⊺⇮1234=⊺⇮218","layer":1},{"info":"⊺⇮2221⋝⋈⪟⊺⇮5667=⊺⇮2221","layer":3},{"info":"⊺⇮2651⪐=⊺⇮5302","layer":3},{"info":"⊺⇮2221⪔⊺⇮5302=⊺⇮450","layer":2},{"info":"∨∊⋏⊺⇮450=⊺⇮-2401","layer":1},{"info":"⊺⇮218∳⫺⊺⇮-2401=⊺⇮-260","layer":0}]}
{"id":472,"expression_no_base_symbol":"(($2160$∺≝⩲$1651$⪮%⊝($1772$⋥≓≎$8588$))⪚((∓⪦$1632$)⪢($6322$⇉⇱⇎)))⇤(($3298$⨰$3788$)⨸($3888$⊾⪯⋞$5183$))⋹⋡⊁(⨞⊢$2569$⇌⫙⪟$1002$)","expression":"((⊺⇮2160∺≝⩲⊺⇮1651⪮%⊝(⊺⇮1772⋥≓≎⊺⇮8588))⪚((∓⪦⊺⇮1632)⪢(⊺⇮6322⇉⇱⇎)))⇤((⊺⇮3298⨰⊺⇮3788)⨸(⊺⇮3888⊾⪯⋞⊺⇮5183))⋹⋡⊁(⨞⊢⊺⇮2569⇌⫙⪟⊺⇮1002)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6926,"operation_count":14,"complexity_ratio":494.7142857142857,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2160,"base":10},"right_expr":{"type":"numeric_atoms","value":1651,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1772,"base":10},"right_expr":{"type":"numeric_atoms","value":8588,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1632,"base":10}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":6322,"base":10}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3298,"base":10},"right_expr":{"type":"numeric_atoms","value":3788,"base":10}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3888,"base":10},"right_expr":{"type":"numeric_atoms","value":5183,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2569,"base":10},"right_expr":{"type":"numeric_atoms","value":1002,"base":10}}}}},"used_operators":["YSKBFp38Pu","HrjLwUk87U","IWmyXbctLI","KPf6cnQVty","Qy55tPpLXF","dWAJyo7jo9","D309nIvmXG","MRPaB8lBjK","As8RqfVLgs","KmoU8R5UQR","eewbuw0ToL","HK0tfVPux8","xUOZtlo3hN","AFVx7xoS7T"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2160","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=1651, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=8588","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=8588, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=15437","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=15437, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=636","layer":2},{"info":"number node, value=1632","layer":4},{"info":"compute unary expreesion, input=1632, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1224","layer":3},{"info":"number node, value=6322","layer":4},{"info":"compute unary expreesion, input=6322, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-6104","layer":3},{"info":"compute binary expreesion, left_input=1224, right_input=-6104, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=636, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=3298","layer":4},{"info":"number node, value=3788","layer":4},{"info":"compute binary expreesion, left_input=3298, right_input=3788, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-480","layer":3},{"info":"number node, value=3888","layer":4},{"info":"number node, value=5183","layer":4},{"info":"compute binary expreesion, left_input=3888, right_input=5183, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=9940","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=9940, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1582230","layer":2},{"info":"number node, value=2569","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=1002, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-287","layer":2},{"info":"compute binary expreesion, left_input=1582230, right_input=-287, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=12657578","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12657578, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2160∺≝⩲⊺⇮1651⪮%⊝(⊺⇮1772⋥≓≎⊺⇮8588))⪚((∓⪦⊺⇮1632)⪢(⊺⇮6322⇉⇱⇎)))⇤((⊺⇮3298⨰⊺⇮3788)⨸(⊺⇮3888⊾⪯⋞⊺⇮5183))⋹⋡⊁(⨞⊢⊺⇮2569⇌⫙⪟⊺⇮1002)=NaN","reverse_text":"NaN=((⊺⇮2160∺≝⩲⊺⇮1651⪮%⊝(⊺⇮1772⋥≓≎⊺⇮8588))⪚((∓⪦⊺⇮1632)⪢(⊺⇮6322⇉⇱⇎)))⇤((⊺⇮3298⨰⊺⇮3788)⨸(⊺⇮3888⊾⪯⋞⊺⇮5183))⋹⋡⊁(⨞⊢⊺⇮2569⇌⫙⪟⊺⇮1002)","cot":[{"info":"⊺⇮2160∺≝⩲⊺⇮1651=⊺⇮160","layer":3},{"info":"⊺⇮1772⋥≓≎⊺⇮8588=⊺⇮15437","layer":3},{"info":"⊺⇮160⪮%⊝⊺⇮15437=⊺⇮636","layer":2},{"info":"∓⪦⊺⇮1632=⊺⇮1224","layer":3},{"info":"⊺⇮6322⇉⇱⇎=⊺⇮-6104","layer":3},{"info":"⊺⇮1224⪢⊺⇮-6104=NaN","layer":2},{"info":"⊺⇮636⪚NaN=NaN","layer":1},{"info":"⊺⇮3298⨰⊺⇮3788=⊺⇮-480","layer":3},{"info":"⊺⇮3888⊾⪯⋞⊺⇮5183=⊺⇮9940","layer":3},{"info":"⊺⇮-480⨸⊺⇮9940=⊺⇮1582230","layer":2},{"info":"⊺⇮2569⇌⫙⪟⊺⇮1002=⊺⇮113","layer":3},{"info":"⨞⊢⊺⇮113=⊺⇮-287","layer":2},{"info":"⊺⇮1582230⋹⋡⊁⊺⇮-287=⊺⇮12657578","layer":1},{"info":"NaN⇤⊺⇮12657578=NaN","layer":0}]}
{"id":473,"expression_no_base_symbol":"≋((⊁⨺$2105$)≚⊃≕($1359$⇴∐$2261$))⨑⩅≇(⇉-⫰($4419$⨰$4807$))","expression":"≋((⊁⨺⊺⇮2105)≚⊃≕(⊺⇮1359⇴∐⊺⇮2261))⨑⩅≇(⇉-⫰(⊺⇮4419⨰⊺⇮4807))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":171,"operation_count":7,"complexity_ratio":24.428571428571427,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":2105,"base":10}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1359,"base":10},"right_expr":{"type":"numeric_atoms","value":2261,"base":10}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4419,"base":10},"right_expr":{"type":"numeric_atoms","value":4807,"base":10}}}}},"used_operators":["61wBmkZwlr","h92wMvzauj","Bmrmz2XGnR","PxiHyQbrIp","HnzytWxmAO","IGFM8TAlm9","eewbuw0ToL"],"dependent_operators":["7j4O788W3g","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","eH2TOUuTDT","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-55","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2105","layer":4},{"info":"compute unary expreesion, input=2105, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=2261, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-4034","layer":2},{"info":"number node, value=4419","layer":4},{"info":"number node, value=4807","layer":4},{"info":"compute binary expreesion, left_input=4419, right_input=4807, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-378","layer":3},{"info":"compute unary expreesion, input=-378, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-4034, right_input=20, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-55","layer":0}],"base":10,"result_base":10,"text":"≋((⊁⨺⊺⇮2105)≚⊃≕(⊺⇮1359⇴∐⊺⇮2261))⨑⩅≇(⇉-⫰(⊺⇮4419⨰⊺⇮4807))=⊺⇮-55","reverse_text":"⊺⇮-55=≋((⊁⨺⊺⇮2105)≚⊃≕(⊺⇮1359⇴∐⊺⇮2261))⨑⩅≇(⇉-⫰(⊺⇮4419⨰⊺⇮4807))","cot":[{"info":"⊁⨺⊺⇮2105=⊺⇮160","layer":3},{"info":"⊺⇮1359⇴∐⊺⇮2261=NaN","layer":3},{"info":"⊺⇮160≚⊃≕NaN=⊺⇮-4034","layer":2},{"info":"⊺⇮4419⨰⊺⇮4807=⊺⇮-378","layer":3},{"info":"⇉-⫰⊺⇮-378=⊺⇮20","layer":2},{"info":"⊺⇮-4034⨑⩅≇⊺⇮20=⊺⇮-55","layer":1},{"info":"≋⊺⇮-55=⊺⇮-55","layer":0}]}
{"id":474,"expression_no_base_symbol":"((∐⩳⋚$2560$⨿$3996$)∲⫓(⨵$3723$)⪝($1417$⩟))⋾⨃∁(⊽(⊥$1613$⨼⩣$6286$))","expression":"((∐⩳⋚⊺⇮2560⨿⊺⇮3996)∲⫓(⨵⊺⇮3723)⪝(⊺⇮1417⩟))⋾⨃∁(⊽(⊥⊺⇮1613⨼⩣⊺⇮6286))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1298,"operation_count":10,"complexity_ratio":129.8,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2560,"base":10},"right_expr":{"type":"numeric_atoms","value":3996,"base":10}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3723,"base":10}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1417,"base":10}}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1613,"base":10},"right_expr":{"type":"numeric_atoms","value":6286,"base":10}}}}},"used_operators":["212REbPD9h","i8ToyICDmI","SL6IHkK8vl","abYXlopdE0","wicAB68Tmb","Tl3Y52tvF8","fOIeswaMU4","QxG7OkqoLX","Q3PJZHRvZv","JxwMv5le6e"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","fu6greOZ01","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2560","layer":4},{"info":"number node, value=3996","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=3996, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-124032","layer":2},{"info":"number node, value=3723","layer":4},{"info":"compute unary expreesion, input=3723, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-30993","layer":3},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-11526","layer":3},{"info":"compute binary expreesion, left_input=-30993, right_input=-11526, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-354867","layer":2},{"info":"compute binary expreesion, left_input=-124032, right_input=-354867, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-124032","layer":1},{"info":"number node, value=1613","layer":4},{"info":"number node, value=6286","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=6286, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-124032, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"((∐⩳⋚⊺⇮2560⨿⊺⇮3996)∲⫓(⨵⊺⇮3723)⪝(⊺⇮1417⩟))⋾⨃∁(⊽(⊥⊺⇮1613⨼⩣⊺⇮6286))=⊺⇮160","reverse_text":"⊺⇮160=((∐⩳⋚⊺⇮2560⨿⊺⇮3996)∲⫓(⨵⊺⇮3723)⪝(⊺⇮1417⩟))⋾⨃∁(⊽(⊥⊺⇮1613⨼⩣⊺⇮6286))","cot":[{"info":"⊺⇮2560⨿⊺⇮3996=⊺⇮-319","layer":3},{"info":"∐⩳⋚⊺⇮-319=⊺⇮-124032","layer":2},{"info":"⨵⊺⇮3723=⊺⇮-30993","layer":3},{"info":"⊺⇮1417⩟=⊺⇮-11526","layer":3},{"info":"⊺⇮-30993⪝⊺⇮-11526=⊺⇮-354867","layer":2},{"info":"⊺⇮-124032∲⫓⊺⇮-354867=⊺⇮-124032","layer":1},{"info":"⊺⇮1613⨼⩣⊺⇮6286=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⊽NaN=NaN","layer":1},{"info":"⊺⇮-124032⋾⨃∁NaN=⊺⇮160","layer":0}]}
{"id":475,"expression_no_base_symbol":"(⇘(↴⪽⋼$3357$)⫣⪄⊒($3752$≠≀$2075$))∌↝((⋠∜($1886$∇⊂⋱$1041$))≥⨤⩑(⋠∜($1653$⫥∨⫟$1212$)))","expression":"(⇘(↴⪽⋼⊺⇮3357)⫣⪄⊒(⊺⇮3752≠≀⊺⇮2075))∌↝((⋠∜(⊺⇮1886∇⊂⋱⊺⇮1041))≥⨤⩑(⋠∜(⊺⇮1653⫥∨⫟⊺⇮1212)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":657,"operation_count":10,"complexity_ratio":65.7,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3357,"base":10}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3752,"base":10},"right_expr":{"type":"numeric_atoms","value":2075,"base":10}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1886,"base":10},"right_expr":{"type":"numeric_atoms","value":1041,"base":10}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1653,"base":10},"right_expr":{"type":"numeric_atoms","value":1212,"base":10}}}}},"used_operators":["9Isq31Ruls","MGuIdZPyUC","RabNbG55vr","5TUYCnJO6w","IwW236VD4Y","gJLn6v0xnP","ZJpFhNJr3x","nhYeJWJD5X","KYD54nUTWz"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⊺⇮-3702","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3357","layer":4},{"info":"compute unary expreesion, input=3357, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3357","layer":3},{"info":"number node, value=3752","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=3752, right_input=2075, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7198","layer":3},{"info":"compute binary expreesion, left_input=3357, right_input=-7198, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-869647","layer":1},{"info":"number node, value=1886","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=1041, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3226","layer":3},{"info":"compute unary expreesion, input=3226, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=15188","layer":2},{"info":"number node, value=1653","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1212, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=15188, right_input=67, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-869647, right_input=1234, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-3702","layer":0}],"base":10,"result_base":10,"text":"(⇘(↴⪽⋼⊺⇮3357)⫣⪄⊒(⊺⇮3752≠≀⊺⇮2075))∌↝((⋠∜(⊺⇮1886∇⊂⋱⊺⇮1041))≥⨤⩑(⋠∜(⊺⇮1653⫥∨⫟⊺⇮1212)))=⊺⇮-3702","reverse_text":"⊺⇮-3702=(⇘(↴⪽⋼⊺⇮3357)⫣⪄⊒(⊺⇮3752≠≀⊺⇮2075))∌↝((⋠∜(⊺⇮1886∇⊂⋱⊺⇮1041))≥⨤⩑(⋠∜(⊺⇮1653⫥∨⫟⊺⇮1212)))","cot":[{"info":"↴⪽⋼⊺⇮3357=⊺⇮3357","layer":3},{"info":"⊺⇮3752≠≀⊺⇮2075=⊺⇮-7198","layer":3},{"info":"⊺⇮3357⫣⪄⊒⊺⇮-7198=⊺⇮160","layer":2},{"info":"⇘⊺⇮160=⊺⇮-869647","layer":1},{"info":"⊺⇮1886∇⊂⋱⊺⇮1041=⊺⇮3226","layer":3},{"info":"⋠∜⊺⇮3226=⊺⇮15188","layer":2},{"info":"⊺⇮1653⫥∨⫟⊺⇮1212=NaN","layer":3},{"info":"⋠∜NaN=⊺⇮67","layer":2},{"info":"⊺⇮15188≥⨤⩑⊺⇮67=⊺⇮1234","layer":1},{"info":"⊺⇮-869647∌↝⊺⇮1234=⊺⇮-3702","layer":0}]}
{"id":476,"expression_no_base_symbol":"((⨂⪏⇭$6344$⨜⨶$2015$)∲⫓$4880$≎⪠$2527$⨭⪣$2059$⫲≸⪮$2408$)≚⊃≕($1285$⨐⩸⫘$4071$∪⫐$5429$⩖⊿$2736$)⪟⇏(($3006$∑⇟⊟$6582$)⨲)","expression":"((⨂⪏⇭⊺⇮6344⨜⨶⊺⇮2015)∲⫓⊺⇮4880≎⪠⊺⇮2527⨭⪣⊺⇮2059⫲≸⪮⊺⇮2408)≚⊃≕(⊺⇮1285⨐⩸⫘⊺⇮4071∪⫐⊺⇮5429⩖⊿⊺⇮2736)⪟⇏((⊺⇮3006∑⇟⊟⊺⇮6582)⨲)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":26453,"operation_count":13,"complexity_ratio":2034.8461538461538,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6344,"base":10},"right_expr":{"type":"numeric_atoms","value":2015,"base":10}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4880,"base":10},"right_expr":{"type":"numeric_atoms","value":2527,"base":10}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2059,"base":10},"right_expr":{"type":"numeric_atoms","value":2408,"base":10}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1285,"base":10},"right_expr":{"type":"numeric_atoms","value":4071,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5429,"base":10},"right_expr":{"type":"numeric_atoms","value":2736,"base":10}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3006,"base":10},"right_expr":{"type":"numeric_atoms","value":6582,"base":10}}}}},"used_operators":["Bmrmz2XGnR","i8ToyICDmI","AYdpE9sXAk","HiPekx5b7W","kn8WO9XteQ","aNhz54LH3e","P3lXMJvFrc","GODebY97qR","7YooWSwCyH","fu6greOZ01","RZ5CV9rWsJ","nLYMGWM7L8","U7g4x0WXJJ"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rJVOvQCfKK","2DDjHMKMc0","3ViojmjbAp","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⊺⇮-3394","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6344","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=6344, right_input=2015, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3774","layer":3},{"info":"compute unary expreesion, input=-3774, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-12301","layer":2},{"info":"number node, value=4880","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=4880, right_input=2527, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2059","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=2408, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2059","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=2059, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=18279","layer":2},{"info":"compute binary expreesion, left_input=-12301, right_input=18279, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1285","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=4071, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5429","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=5429, right_input=2736, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=90","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=90, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"number node, value=3006","layer":4},{"info":"number node, value=6582","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=6582, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4683709, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-3394","layer":0}],"base":10,"result_base":10,"text":"((⨂⪏⇭⊺⇮6344⨜⨶⊺⇮2015)∲⫓⊺⇮4880≎⪠⊺⇮2527⨭⪣⊺⇮2059⫲≸⪮⊺⇮2408)≚⊃≕(⊺⇮1285⨐⩸⫘⊺⇮4071∪⫐⊺⇮5429⩖⊿⊺⇮2736)⪟⇏((⊺⇮3006∑⇟⊟⊺⇮6582)⨲)=⊺⇮-3394","reverse_text":"⊺⇮-3394=((⨂⪏⇭⊺⇮6344⨜⨶⊺⇮2015)∲⫓⊺⇮4880≎⪠⊺⇮2527⨭⪣⊺⇮2059⫲≸⪮⊺⇮2408)≚⊃≕(⊺⇮1285⨐⩸⫘⊺⇮4071∪⫐⊺⇮5429⩖⊿⊺⇮2736)⪟⇏((⊺⇮3006∑⇟⊟⊺⇮6582)⨲)","cot":[{"info":"⊺⇮6344⨜⨶⊺⇮2015=⊺⇮-3774","layer":3},{"info":"⨂⪏⇭⊺⇮-3774=⊺⇮-12301","layer":2},{"info":"⊺⇮4880≎⪠⊺⇮2527=⊺⇮19558","layer":3},{"info":"⊺⇮2059⫲≸⪮⊺⇮2408=⊺⇮2059","layer":3},{"info":"⊺⇮19558⨭⪣⊺⇮2059=⊺⇮18279","layer":2},{"info":"⊺⇮-12301∲⫓⊺⇮18279=⊺⇮0","layer":1},{"info":"⊺⇮1285⨐⩸⫘⊺⇮4071=NaN","layer":3},{"info":"⊺⇮5429⩖⊿⊺⇮2736=⊺⇮90","layer":3},{"info":"NaN∪⫐⊺⇮90=NaN","layer":2},{"info":"⊺⇮3006∑⇟⊟⊺⇮6582=NaN","layer":3},{"info":"NaN⨲=⊺⇮4683709","layer":2},{"info":"NaN⪟⇏⊺⇮4683709=NaN","layer":1},{"info":"⊺⇮0≚⊃≕NaN=⊺⇮-3394","layer":0}]}
{"id":477,"expression_no_base_symbol":"((↪⫪⫘($1034$∝$3412$))⪭≯(⇖⫷⫕(⨑⩽⪐$3159$)))⫍⨯↯","expression":"((↪⫪⫘(⊺⇮1034∝⊺⇮3412))⪭≯(⇖⫷⫕(⨑⩽⪐⊺⇮3159)))⫍⨯↯","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1024,"operation_count":6,"complexity_ratio":170.66666666666666,"tree":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1034,"base":10},"right_expr":{"type":"numeric_atoms","value":3412,"base":10}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3159,"base":10}}}}},"used_operators":["ZcwmYACASQ","XAx5wpdLa6","9dWsAM3GFt","cTDWOvIxvz","UHmRx3INFg","AF7qkfDlqP"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"number node, value=3412","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=3412, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1039","layer":3},{"info":"compute unary expreesion, input=1039, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=3159","layer":4},{"info":"compute unary expreesion, input=3159, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2886","layer":3},{"info":"compute unary expreesion, input=-2886, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=2822, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":0}],"base":10,"result_base":10,"text":"((↪⫪⫘(⊺⇮1034∝⊺⇮3412))⪭≯(⇖⫷⫕(⨑⩽⪐⊺⇮3159)))⫍⨯↯=⊺⇮-134","reverse_text":"⊺⇮-134=((↪⫪⫘(⊺⇮1034∝⊺⇮3412))⪭≯(⇖⫷⫕(⨑⩽⪐⊺⇮3159)))⫍⨯↯","cot":[{"info":"⊺⇮1034∝⊺⇮3412=⊺⇮1039","layer":3},{"info":"↪⫪⫘⊺⇮1039=⊺⇮20","layer":2},{"info":"⨑⩽⪐⊺⇮3159=⊺⇮-2886","layer":3},{"info":"⇖⫷⫕⊺⇮-2886=⊺⇮2822","layer":2},{"info":"⊺⇮20⪭≯⊺⇮2822=NaN","layer":1},{"info":"NaN⫍⨯↯=⊺⇮-134","layer":0}]}
{"id":478,"expression_no_base_symbol":"(∡($1205$⨳⩥⨓$1860$⩹$1399$⨸⪁$4104$))∀⇚≩((⇠$2511$∣$1698$)∙⊟$7141$⪢$2675$↼⊘⨖($1279$⊔$1180$))","expression":"(∡(⊺⇮1205⨳⩥⨓⊺⇮1860⩹⊺⇮1399⨸⪁⊺⇮4104))∀⇚≩((⇠⊺⇮2511∣⊺⇮1698)∙⊟⊺⇮7141⪢⊺⇮2675↼⊘⨖(⊺⇮1279⊔⊺⇮1180))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":89555,"operation_count":11,"complexity_ratio":8141.363636363636,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1205,"base":10},"right_expr":{"type":"numeric_atoms","value":1860,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1399,"base":10},"right_expr":{"type":"numeric_atoms","value":4104,"base":10}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2511,"base":10},"right_expr":{"type":"numeric_atoms","value":1698,"base":10}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7141,"base":10},"right_expr":{"type":"numeric_atoms","value":2675,"base":10}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1279,"base":10},"right_expr":{"type":"numeric_atoms","value":1180,"base":10}}}}},"used_operators":["LRNGc0VcxI","pRsWfj4Fpp","2Wsdkap16l","nCS4ZIUYfx","g55IO6H4Gj","SxTAKzQCrw","18saOjeKKm","PPChnnnBFF","bPywburJMS","dWAJyo7jo9","E4l6HwMY31"],"dependent_operators":["X99M06cbEe","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1205","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=1860, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=655","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=4104","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=4104, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11006","layer":3},{"info":"compute binary expreesion, left_input=655, right_input=11006, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=11004","layer":2},{"info":"compute unary expreesion, input=11004, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-11004","layer":1},{"info":"number node, value=2511","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=1698, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2511","layer":3},{"info":"compute unary expreesion, input=2511, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2269","layer":2},{"info":"number node, value=7141","layer":4},{"info":"number node, value=2675","layer":4},{"info":"compute binary expreesion, left_input=7141, right_input=2675, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=1180, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=6058","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6058, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=11894","layer":2},{"info":"compute binary expreesion, left_input=-2269, right_input=11894, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=45241","layer":1},{"info":"compute binary expreesion, left_input=-11004, right_input=45241, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∡(⊺⇮1205⨳⩥⨓⊺⇮1860⩹⊺⇮1399⨸⪁⊺⇮4104))∀⇚≩((⇠⊺⇮2511∣⊺⇮1698)∙⊟⊺⇮7141⪢⊺⇮2675↼⊘⨖(⊺⇮1279⊔⊺⇮1180))=NaN","reverse_text":"NaN=(∡(⊺⇮1205⨳⩥⨓⊺⇮1860⩹⊺⇮1399⨸⪁⊺⇮4104))∀⇚≩((⇠⊺⇮2511∣⊺⇮1698)∙⊟⊺⇮7141⪢⊺⇮2675↼⊘⨖(⊺⇮1279⊔⊺⇮1180))","cot":[{"info":"⊺⇮1205⨳⩥⨓⊺⇮1860=⊺⇮655","layer":3},{"info":"⊺⇮1399⨸⪁⊺⇮4104=⊺⇮11006","layer":3},{"info":"⊺⇮655⩹⊺⇮11006=⊺⇮11004","layer":2},{"info":"∡⊺⇮11004=⊺⇮-11004","layer":1},{"info":"⊺⇮2511∣⊺⇮1698=⊺⇮2511","layer":3},{"info":"⇠⊺⇮2511=⊺⇮-2269","layer":2},{"info":"⊺⇮7141⪢⊺⇮2675=NaN","layer":3},{"info":"⊺⇮1279⊔⊺⇮1180=⊺⇮6058","layer":3},{"info":"NaN↼⊘⨖⊺⇮6058=⊺⇮11894","layer":2},{"info":"⊺⇮-2269∙⊟⊺⇮11894=⊺⇮45241","layer":1},{"info":"⊺⇮-11004∀⇚≩⊺⇮45241=NaN","layer":0}]}
{"id":479,"expression_no_base_symbol":"(($1133$≳⇉$3091$)⇂≾⫗(⋣$2183$)⩧⪆(⨵≀≌(⩏⊷≩$2490$)))⪭($4155$⊹∫⫚$2483$⫥∨⫟($2273$⫃⨇$3575$))∳⫺($2807$-$1471$⪁(⩦⊞$2287$))","expression":"((⊺⇮1133≳⇉⊺⇮3091)⇂≾⫗(⋣⊺⇮2183)⩧⪆(⨵≀≌(⩏⊷≩⊺⇮2490)))⪭(⊺⇮4155⊹∫⫚⊺⇮2483⫥∨⫟(⊺⇮2273⫃⨇⊺⇮3575))∳⫺(⊺⇮2807-⊺⇮1471⪁(⩦⊞⊺⇮2287))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":171675356,"operation_count":14,"complexity_ratio":12262525.42857143,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1133,"base":10},"right_expr":{"type":"numeric_atoms","value":3091,"base":10}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2183,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2490,"base":10}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4155,"base":10},"right_expr":{"type":"numeric_atoms","value":2483,"base":10}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2273,"base":10},"right_expr":{"type":"numeric_atoms","value":3575,"base":10}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2807,"base":10},"right_expr":{"type":"numeric_atoms","value":1471,"base":10}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2287,"base":10}}}}},"used_operators":["j9kHMeSvPp","Ikt5ks8PT7","aBQ6xLxuTc","V0kx6qeWkN","zQWRhDnn8F","srAu1WTS94","uOZ1tnYMDE","AzXXKTstlj","KYD54nUTWz","uWAJUKEvyW","09Ly4LVMIf","I7sXao9hZE","rysDP5nf3Z","u7fv1HBiaC"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","eewbuw0ToL","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","23Mk6UjR3U","12rbrZMWeM","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","8HhzD0ZcuI","rGHVDoGpnC","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"⊺⇮5","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":4},{"info":"number node, value=3091","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=3091, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=2183","layer":4},{"info":"compute unary expreesion, input=2183, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-641707","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-641707, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=2490","layer":4},{"info":"compute unary expreesion, input=2490, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=4679","layer":3},{"info":"compute unary expreesion, input=4679, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14037","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14037, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=14037","layer":1},{"info":"number node, value=4155","layer":4},{"info":"number node, value=2483","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=2483, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-364","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=3575, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-14332","layer":3},{"info":"compute binary expreesion, left_input=-364, right_input=-14332, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2807","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=1471, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1336","layer":3},{"info":"number node, value=2287","layer":4},{"info":"compute unary expreesion, input=2287, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2014","layer":3},{"info":"compute binary expreesion, left_input=1336, right_input=-2014, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=14037, right_input=-260, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1133≳⇉⊺⇮3091)⇂≾⫗(⋣⊺⇮2183)⩧⪆(⨵≀≌(⩏⊷≩⊺⇮2490)))⪭(⊺⇮4155⊹∫⫚⊺⇮2483⫥∨⫟(⊺⇮2273⫃⨇⊺⇮3575))∳⫺(⊺⇮2807-⊺⇮1471⪁(⩦⊞⊺⇮2287))=⊺⇮5","reverse_text":"⊺⇮5=((⊺⇮1133≳⇉⊺⇮3091)⇂≾⫗(⋣⊺⇮2183)⩧⪆(⨵≀≌(⩏⊷≩⊺⇮2490)))⪭(⊺⇮4155⊹∫⫚⊺⇮2483⫥∨⫟(⊺⇮2273⫃⨇⊺⇮3575))∳⫺(⊺⇮2807-⊺⇮1471⪁(⩦⊞⊺⇮2287))","cot":[{"info":"⊺⇮1133≳⇉⊺⇮3091=NaN","layer":3},{"info":"⋣⊺⇮2183=⊺⇮-641707","layer":3},{"info":"NaN⇂≾⫗⊺⇮-641707=NaN","layer":2},{"info":"⩏⊷≩⊺⇮2490=⊺⇮4679","layer":3},{"info":"⨵≀≌⊺⇮4679=⊺⇮-14037","layer":2},{"info":"NaN⩧⪆⊺⇮-14037=⊺⇮14037","layer":1},{"info":"⊺⇮4155⊹∫⫚⊺⇮2483=⊺⇮-364","layer":3},{"info":"⊺⇮2273⫃⨇⊺⇮3575=⊺⇮-14332","layer":3},{"info":"⊺⇮-364⫥∨⫟⊺⇮-14332=NaN","layer":2},{"info":"⊺⇮2807-⊺⇮1471=⊺⇮1336","layer":3},{"info":"⩦⊞⊺⇮2287=⊺⇮-2014","layer":3},{"info":"⊺⇮1336⪁⊺⇮-2014=NaN","layer":2},{"info":"NaN∳⫺NaN=⊺⇮-260","layer":1},{"info":"⊺⇮14037⪭⊺⇮-260=⊺⇮5","layer":0}]}
{"id":480,"expression_no_base_symbol":"⩪∧⨌(≸≮($7943$∲⫓$2122$))∀⇚≩($3142$≦≮≮)⫘($1442$⇞)","expression":"⩪∧⨌(≸≮(⊺⇮7943∲⫓⊺⇮2122))∀⇚≩(⊺⇮3142≦≮≮)⫘(⊺⇮1442⇞)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11527,"operation_count":7,"complexity_ratio":1646.7142857142858,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7943,"base":10},"right_expr":{"type":"numeric_atoms","value":2122,"base":10}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3142,"base":10}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":1442,"base":10}}}}},"used_operators":["6iOiAJX1F8","LRNGc0VcxI","AljMvE3RRm","i8ToyICDmI","48vC8HMD2b","D4vGDi5EA2","5JYyxRJd4f"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","X99M06cbEe","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7943","layer":4},{"info":"number node, value=2122","layer":4},{"info":"compute binary expreesion, left_input=7943, right_input=2122, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-262","layer":2},{"info":"number node, value=3142","layer":4},{"info":"compute unary expreesion, input=3142, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9426","layer":3},{"info":"number node, value=1442","layer":4},{"info":"compute unary expreesion, input=1442, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=5681","layer":3},{"info":"compute binary expreesion, left_input=-9426, right_input=5681, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=41558399","layer":2},{"info":"compute binary expreesion, left_input=-262, right_input=41558399, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⩪∧⨌(≸≮(⊺⇮7943∲⫓⊺⇮2122))∀⇚≩(⊺⇮3142≦≮≮)⫘(⊺⇮1442⇞)=NaN","reverse_text":"NaN=⩪∧⨌(≸≮(⊺⇮7943∲⫓⊺⇮2122))∀⇚≩(⊺⇮3142≦≮≮)⫘(⊺⇮1442⇞)","cot":[{"info":"⊺⇮7943∲⫓⊺⇮2122=⊺⇮0","layer":3},{"info":"≸≮⊺⇮0=⊺⇮-262","layer":2},{"info":"⊺⇮3142≦≮≮=⊺⇮-9426","layer":3},{"info":"⊺⇮1442⇞=⊺⇮5681","layer":3},{"info":"⊺⇮-9426⫘⊺⇮5681=⊺⇮41558399","layer":2},{"info":"⊺⇮-262∀⇚≩⊺⇮41558399=NaN","layer":1},{"info":"⩪∧⨌NaN=NaN","layer":0}]}
{"id":481,"expression_no_base_symbol":"(((≘$1850$)*$3693$≝⊿$5849$)⨚($6849$⊾⪯⋞$3008$)∇⊂⋱$6196$⋕⪉⪜$2167$)∥⊢⊲((⇾⩊⇾($1040$⪁$1626$))∠↢($1683$↸$2782$)⨔≚≋$7886$⨔⇊$4159$)","expression":"(((≘⊺⇮1850)*⊺⇮3693≝⊿⊺⇮5849)⨚(⊺⇮6849⊾⪯⋞⊺⇮3008)∇⊂⋱⊺⇮6196⋕⪉⪜⊺⇮2167)∥⊢⊲((⇾⩊⇾(⊺⇮1040⪁⊺⇮1626))∠↢(⊺⇮1683↸⊺⇮2782)⨔≚≋⊺⇮7886⨔⇊⊺⇮4159)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":39539184,"operation_count":14,"complexity_ratio":2824227.4285714286,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1850,"base":10}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3693,"base":10},"right_expr":{"type":"numeric_atoms","value":5849,"base":10}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":6849,"base":10},"right_expr":{"type":"numeric_atoms","value":3008,"base":10}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6196,"base":10},"right_expr":{"type":"numeric_atoms","value":2167,"base":10}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1040,"base":10},"right_expr":{"type":"numeric_atoms","value":1626,"base":10}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1683,"base":10},"right_expr":{"type":"numeric_atoms","value":2782,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":7886,"base":10},"right_expr":{"type":"numeric_atoms","value":4159,"base":10}}}}},"used_operators":["v1UQAVDJRr","nREPSIbpBE","9HNa5Wba9A","tcjXMdvYtA","OKKcZfAt5B","nhYeJWJD5X","HK0tfVPux8","z6LnFrNh4i","KbjG8mgYpV","bx9Z9DAK5y","I7sXao9hZE","Z57zeUYC9z","1eCjFl0mb9","JclMnS0uGI"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1850","layer":4},{"info":"compute unary expreesion, input=1850, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=4080034","layer":3},{"info":"number node, value=3693","layer":4},{"info":"number node, value=5849","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=5849, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-15924","layer":3},{"info":"compute binary expreesion, left_input=4080034, right_input=-15924, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"number node, value=6849","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=6849, right_input=3008, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5590","layer":3},{"info":"number node, value=6196","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=6196, right_input=2167, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=5590, right_input=2802, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=10634","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=10634, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1626, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":2},{"info":"number node, value=1683","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=2782, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1683","layer":3},{"info":"number node, value=7886","layer":4},{"info":"number node, value=4159","layer":4},{"info":"compute binary expreesion, left_input=7886, right_input=4159, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4159","layer":3},{"info":"compute binary expreesion, left_input=1683, right_input=4159, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((≘⊺⇮1850)*⊺⇮3693≝⊿⊺⇮5849)⨚(⊺⇮6849⊾⪯⋞⊺⇮3008)∇⊂⋱⊺⇮6196⋕⪉⪜⊺⇮2167)∥⊢⊲((⇾⩊⇾(⊺⇮1040⪁⊺⇮1626))∠↢(⊺⇮1683↸⊺⇮2782)⨔≚≋⊺⇮7886⨔⇊⊺⇮4159)=NaN","reverse_text":"NaN=(((≘⊺⇮1850)*⊺⇮3693≝⊿⊺⇮5849)⨚(⊺⇮6849⊾⪯⋞⊺⇮3008)∇⊂⋱⊺⇮6196⋕⪉⪜⊺⇮2167)∥⊢⊲((⇾⩊⇾(⊺⇮1040⪁⊺⇮1626))∠↢(⊺⇮1683↸⊺⇮2782)⨔≚≋⊺⇮7886⨔⇊⊺⇮4159)","cot":[{"info":"≘⊺⇮1850=⊺⇮4080034","layer":3},{"info":"⊺⇮3693≝⊿⊺⇮5849=⊺⇮-15924","layer":3},{"info":"⊺⇮4080034*⊺⇮-15924=-Inf","layer":2},{"info":"⊺⇮6849⊾⪯⋞⊺⇮3008=⊺⇮5590","layer":3},{"info":"⊺⇮6196⋕⪉⪜⊺⇮2167=⊺⇮2802","layer":3},{"info":"⊺⇮5590∇⊂⋱⊺⇮2802=⊺⇮10634","layer":2},{"info":"-Inf⨚⊺⇮10634=NaN","layer":1},{"info":"⊺⇮1040⪁⊺⇮1626=NaN","layer":3},{"info":"⇾⩊⇾NaN=NaN","layer":2},{"info":"⊺⇮1683↸⊺⇮2782=⊺⇮1683","layer":3},{"info":"⊺⇮7886⨔⇊⊺⇮4159=⊺⇮4159","layer":3},{"info":"⊺⇮1683⨔≚≋⊺⇮4159=⊺⇮9872","layer":2},{"info":"NaN∠↢⊺⇮9872=NaN","layer":1},{"info":"NaN∥⊢⊲NaN=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"(((↑$4842$)∝(⇁⨣⪵$1111$))⇴((↽≂$2348$)+$1468$⫃⨇$1286$))⇚⪠","expression":"(((↑⊺⇮4842)∝(⇁⨣⪵⊺⇮1111))⇴((↽≂⊺⇮2348)+⊺⇮1468⫃⨇⊺⇮1286))⇚⪠","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":102,"operation_count":8,"complexity_ratio":12.75,"tree":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":4842,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1111,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2348,"base":10}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1468,"base":10},"right_expr":{"type":"numeric_atoms","value":1286,"base":10}}}}},"used_operators":["Loh9y4A90B","4JB6nKBMSY","cTDWOvIxvz","tR7O2zTn5j","inkyxCbjAn","W4YGzv6Whe","u6S6b8DprG","09Ly4LVMIf"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","sdazOOVcIp","NTOWxs364D","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4842","layer":4},{"info":"compute unary expreesion, input=4842, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=1111","layer":4},{"info":"compute unary expreesion, input=1111, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=2348","layer":4},{"info":"compute unary expreesion, input=2348, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4696","layer":3},{"info":"number node, value=1468","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=1286, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5176","layer":3},{"info":"compute binary expreesion, left_input=-4696, right_input=-5176, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-9872","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9872, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((↑⊺⇮4842)∝(⇁⨣⪵⊺⇮1111))⇴((↽≂⊺⇮2348)+⊺⇮1468⫃⨇⊺⇮1286))⇚⪠=NaN","reverse_text":"NaN=(((↑⊺⇮4842)∝(⇁⨣⪵⊺⇮1111))⇴((↽≂⊺⇮2348)+⊺⇮1468⫃⨇⊺⇮1286))⇚⪠","cot":[{"info":"↑⊺⇮4842=⊺⇮192","layer":3},{"info":"⇁⨣⪵⊺⇮1111=NaN","layer":3},{"info":"⊺⇮192∝NaN=NaN","layer":2},{"info":"↽≂⊺⇮2348=⊺⇮-4696","layer":3},{"info":"⊺⇮1468⫃⨇⊺⇮1286=⊺⇮-5176","layer":3},{"info":"⊺⇮-4696+⊺⇮-5176=⊺⇮-9872","layer":2},{"info":"NaN⇴⊺⇮-9872=NaN","layer":1},{"info":"NaN⇚⪠=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"(≪(($2979$⋻⩜⩜$1976$)⋅⇍($7936$⇀∌)))⪕(⨴⫝$1556$⩌⋺$1222$)⨔⇊(⊬↢(⨩∲⋌$3576$))","expression":"(≪((⊺⇮2979⋻⩜⩜⊺⇮1976)⋅⇍(⊺⇮7936⇀∌)))⪕(⨴⫝⊺⇮1556⩌⋺⊺⇮1222)⨔⇊(⊬↢(⨩∲⋌⊺⇮3576))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32465,"operation_count":10,"complexity_ratio":3246.5,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2979,"base":10},"right_expr":{"type":"numeric_atoms","value":1976,"base":10}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":7936,"base":10}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1556,"base":10},"right_expr":{"type":"numeric_atoms","value":1222,"base":10}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":3576,"base":10}}}}},"used_operators":["umQnsF7QlU","Qtd6bqUJcN","AdZkA7nFnk","oDCm7WA9JY","2k53nXOpI5","JclMnS0uGI","SVb2v531z1","g7Hmc5v1ko","WPoGxAaPR1","aSik1wnThz"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"⊺⇮2660","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2979","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=1976, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5958","layer":3},{"info":"number node, value=7936","layer":4},{"info":"compute unary expreesion, input=7936, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=5958, right_input=113, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"number node, value=1556","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=1222, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-2899","layer":3},{"info":"compute unary expreesion, input=-2899, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"number node, value=3576","layer":4},{"info":"compute unary expreesion, input=3576, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4099","layer":3},{"info":"compute unary expreesion, input=-4099, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=2828198, right_input=-55, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=67, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2660","layer":0}],"base":10,"result_base":10,"text":"(≪((⊺⇮2979⋻⩜⩜⊺⇮1976)⋅⇍(⊺⇮7936⇀∌)))⪕(⨴⫝⊺⇮1556⩌⋺⊺⇮1222)⨔⇊(⊬↢(⨩∲⋌⊺⇮3576))=⊺⇮2660","reverse_text":"⊺⇮2660=(≪((⊺⇮2979⋻⩜⩜⊺⇮1976)⋅⇍(⊺⇮7936⇀∌)))⪕(⨴⫝⊺⇮1556⩌⋺⊺⇮1222)⨔⇊(⊬↢(⨩∲⋌⊺⇮3576))","cot":[{"info":"⊺⇮2979⋻⩜⩜⊺⇮1976=⊺⇮5958","layer":3},{"info":"⊺⇮7936⇀∌=⊺⇮113","layer":3},{"info":"⊺⇮5958⋅⇍⊺⇮113=⊺⇮-22","layer":2},{"info":"≪⊺⇮-22=⊺⇮913","layer":1},{"info":"⊺⇮1556⩌⋺⊺⇮1222=⊺⇮-2899","layer":3},{"info":"⨴⫝⊺⇮-2899=⊺⇮2828198","layer":2},{"info":"⨩∲⋌⊺⇮3576=⊺⇮-4099","layer":3},{"info":"⊬↢⊺⇮-4099=⊺⇮-55","layer":2},{"info":"⊺⇮2828198⨔⇊⊺⇮-55=⊺⇮67","layer":1},{"info":"⊺⇮913⪕⊺⇮67=⊺⇮2660","layer":0}]}
{"id":484,"expression_no_base_symbol":"(⪭⩑⪱(⇋↷$3471$⪝$1508$))⨼⩣(($1014$⊲⩕⊾$1345$⨎$4827$⊹∫⫚$6164$)↑)","expression":"(⪭⩑⪱(⇋↷⊺⇮3471⪝⊺⇮1508))⨼⩣((⊺⇮1014⊲⩕⊾⊺⇮1345⨎⊺⇮4827⊹∫⫚⊺⇮6164)↑)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":130530,"operation_count":8,"complexity_ratio":16316.25,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3471,"base":10},"right_expr":{"type":"numeric_atoms","value":1508,"base":10}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1014,"base":10},"right_expr":{"type":"numeric_atoms","value":1345,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4827,"base":10},"right_expr":{"type":"numeric_atoms","value":6164,"base":10}}}}},"used_operators":["JxwMv5le6e","SIgE0bArFf","SWo3A1KBJH","wicAB68Tmb","BThhyOhh10","rJVOvQCfKK","DmTXOeWf9t","uWAJUKEvyW"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3471","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=1508, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-8251","layer":3},{"info":"compute unary expreesion, input=-8251, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-32364","layer":2},{"info":"compute unary expreesion, input=-32364, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=1014","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=1345, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-26304","layer":3},{"info":"number node, value=4827","layer":4},{"info":"number node, value=6164","layer":4},{"info":"compute binary expreesion, left_input=4827, right_input=6164, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-292","layer":3},{"info":"compute binary expreesion, left_input=-26304, right_input=-292, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-292","layer":2},{"info":"compute unary expreesion, input=-292, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=222, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪭⩑⪱(⇋↷⊺⇮3471⪝⊺⇮1508))⨼⩣((⊺⇮1014⊲⩕⊾⊺⇮1345⨎⊺⇮4827⊹∫⫚⊺⇮6164)↑)=NaN","reverse_text":"NaN=(⪭⩑⪱(⇋↷⊺⇮3471⪝⊺⇮1508))⨼⩣((⊺⇮1014⊲⩕⊾⊺⇮1345⨎⊺⇮4827⊹∫⫚⊺⇮6164)↑)","cot":[{"info":"⊺⇮3471⪝⊺⇮1508=⊺⇮-8251","layer":3},{"info":"⇋↷⊺⇮-8251=⊺⇮-32364","layer":2},{"info":"⪭⩑⪱⊺⇮-32364=⊺⇮8320752","layer":1},{"info":"⊺⇮1014⊲⩕⊾⊺⇮1345=⊺⇮-26304","layer":3},{"info":"⊺⇮4827⊹∫⫚⊺⇮6164=⊺⇮-292","layer":3},{"info":"⊺⇮-26304⨎⊺⇮-292=⊺⇮-292","layer":2},{"info":"⊺⇮-292↑=⊺⇮222","layer":1},{"info":"⊺⇮8320752⨼⩣⊺⇮222=NaN","layer":0}]}
{"id":485,"expression_no_base_symbol":"⫛⫱⨽((($4217$∷$1663$)⇣⩺⋵($8017$⊉≛↸$5459$))⇗⋫)","expression":"⫛⫱⨽(((⊺⇮4217∷⊺⇮1663)⇣⩺⋵(⊺⇮8017⊉≛↸⊺⇮5459))⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":956,"operation_count":5,"complexity_ratio":191.2,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4217,"base":10},"right_expr":{"type":"numeric_atoms","value":1663,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8017,"base":10},"right_expr":{"type":"numeric_atoms","value":5459,"base":10}}}}},"used_operators":["DlLNRPXxWL","hpqmaQFPrd","F4yD0voBRQ","D3AQDKkPcf","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","rxpJgHHUmx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4217","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=4217, right_input=1663, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1663","layer":3},{"info":"number node, value=8017","layer":4},{"info":"number node, value=5459","layer":4},{"info":"compute binary expreesion, left_input=8017, right_input=5459, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16034","layer":3},{"info":"compute binary expreesion, left_input=1663, right_input=16034, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-25354","layer":2},{"info":"compute unary expreesion, input=-25354, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫛⫱⨽(((⊺⇮4217∷⊺⇮1663)⇣⩺⋵(⊺⇮8017⊉≛↸⊺⇮5459))⇗⋫)=NaN","reverse_text":"NaN=⫛⫱⨽(((⊺⇮4217∷⊺⇮1663)⇣⩺⋵(⊺⇮8017⊉≛↸⊺⇮5459))⇗⋫)","cot":[{"info":"⊺⇮4217∷⊺⇮1663=⊺⇮1663","layer":3},{"info":"⊺⇮8017⊉≛↸⊺⇮5459=⊺⇮16034","layer":3},{"info":"⊺⇮1663⇣⩺⋵⊺⇮16034=⊺⇮-25354","layer":2},{"info":"⊺⇮-25354⇗⋫=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":486,"expression_no_base_symbol":"↸⊣(⩩($1643$⪟⇏$5906$⩎⪣⊞))","expression":"↸⊣(⩩(⊺⇮1643⪟⇏⊺⇮5906⩎⪣⊞))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1000,"operation_count":4,"complexity_ratio":250.0,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1643,"base":10},"right_expr":{"type":"numeric_atoms","value":5906,"base":10}}}}},"used_operators":["wztAlM01eG","kMhfGuqI2H","waWucp1uQ4","GODebY97qR"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","mp7IySMOzn","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1643","layer":4},{"info":"number node, value=5906","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=5906, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=-2","layer":2},{"info":"compute unary expreesion, input=-2, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↸⊣(⩩(⊺⇮1643⪟⇏⊺⇮5906⩎⪣⊞))=NaN","reverse_text":"NaN=↸⊣(⩩(⊺⇮1643⪟⇏⊺⇮5906⩎⪣⊞))","cot":[{"info":"⊺⇮1643⪟⇏⊺⇮5906=⊺⇮-1","layer":3},{"info":"⊺⇮-1⩎⪣⊞=⊺⇮-2","layer":2},{"info":"⩩⊺⇮-2=NaN","layer":1},{"info":"↸⊣NaN=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"≤/(⋗⩬⋾(⊵⊁($5690$⋥≓≎$3264$)))","expression":"≤/(⋗⩬⋾(⊵⊁(⊺⇮5690⋥≓≎⊺⇮3264)))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":4,"complexity_ratio":8.75,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5690,"base":10},"right_expr":{"type":"numeric_atoms","value":3264,"base":10}}}}},"used_operators":["eLAdDNolq6","DpFCA1CohY","AvED76WdY7","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮12952","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5690","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=5690, right_input=3264, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=871","layer":3},{"info":"compute unary expreesion, input=871, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=4156","layer":2},{"info":"compute unary expreesion, input=4156, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12468","layer":1},{"info":"compute unary expreesion, input=-12468, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=12952","layer":0}],"base":10,"result_base":10,"text":"≤/(⋗⩬⋾(⊵⊁(⊺⇮5690⋥≓≎⊺⇮3264)))=⊺⇮12952","reverse_text":"⊺⇮12952=≤/(⋗⩬⋾(⊵⊁(⊺⇮5690⋥≓≎⊺⇮3264)))","cot":[{"info":"⊺⇮5690⋥≓≎⊺⇮3264=⊺⇮871","layer":3},{"info":"⊵⊁⊺⇮871=⊺⇮4156","layer":2},{"info":"⋗⩬⋾⊺⇮4156=⊺⇮-12468","layer":1},{"info":"≤/⊺⇮-12468=⊺⇮12952","layer":0}]}
{"id":488,"expression_no_base_symbol":"$1139$≒∊$1981$⋓($4440$⫿)⨔≚≋($3801$⊾⪯⋞$2001$)∇⊂⋱($1969$⊨$1435$)∪⫐(($6111$⊀⩕)⊹≧⊝)⊔($2899$⋅⇍$3290$⊓⋫)","expression":"⊺⇮1139≒∊⊺⇮1981⋓(⊺⇮4440⫿)⨔≚≋(⊺⇮3801⊾⪯⋞⊺⇮2001)∇⊂⋱(⊺⇮1969⊨⊺⇮1435)∪⫐((⊺⇮6111⊀⩕)⊹≧⊝)⊔(⊺⇮2899⋅⇍⊺⇮3290⊓⋫)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1473,"operation_count":13,"complexity_ratio":113.3076923076923,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1139,"base":10},"right_expr":{"type":"numeric_atoms","value":1981,"base":10}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":4440,"base":10}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3801,"base":10},"right_expr":{"type":"numeric_atoms","value":2001,"base":10}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1969,"base":10},"right_expr":{"type":"numeric_atoms","value":1435,"base":10}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":6111,"base":10}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2899,"base":10},"right_expr":{"type":"numeric_atoms","value":3290,"base":10}}}}},"used_operators":["7YooWSwCyH","Z57zeUYC9z","T2fj7uvVaJ","5KTvxBwnZo","9tKT6PmtkH","nhYeJWJD5X","HK0tfVPux8","vg4gO5BX6G","E4l6HwMY31","LxFB4K6j0n","r0FS3hW4cC","IqGBaFP0uj","AdZkA7nFnk"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rGHVDoGpnC","nhYeJWJD5X","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⊺⇮-55608","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1139","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=1981, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-655","layer":3},{"info":"number node, value=4440","layer":4},{"info":"compute unary expreesion, input=4440, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=4440","layer":3},{"info":"compute binary expreesion, left_input=-655, right_input=4440, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=3801","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=3801, right_input=2001, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3576","layer":3},{"info":"number node, value=1969","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1435, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8907","layer":3},{"info":"compute binary expreesion, left_input=3576, right_input=8907, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6606","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6606, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-55608","layer":1},{"info":"number node, value=6111","layer":4},{"info":"compute unary expreesion, input=6111, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=0","layer":2},{"info":"number node, value=2899","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=2899, right_input=3290, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-106","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-106, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-2930","layer":1},{"info":"compute binary expreesion, left_input=-55608, right_input=-2930, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-55608","layer":0}],"base":10,"result_base":10,"text":"⊺⇮1139≒∊⊺⇮1981⋓(⊺⇮4440⫿)⨔≚≋(⊺⇮3801⊾⪯⋞⊺⇮2001)∇⊂⋱(⊺⇮1969⊨⊺⇮1435)∪⫐((⊺⇮6111⊀⩕)⊹≧⊝)⊔(⊺⇮2899⋅⇍⊺⇮3290⊓⋫)=⊺⇮-55608","reverse_text":"⊺⇮-55608=⊺⇮1139≒∊⊺⇮1981⋓(⊺⇮4440⫿)⨔≚≋(⊺⇮3801⊾⪯⋞⊺⇮2001)∇⊂⋱(⊺⇮1969⊨⊺⇮1435)∪⫐((⊺⇮6111⊀⩕)⊹≧⊝)⊔(⊺⇮2899⋅⇍⊺⇮3290⊓⋫)","cot":[{"info":"⊺⇮1139≒∊⊺⇮1981=⊺⇮-655","layer":3},{"info":"⊺⇮4440⫿=⊺⇮4440","layer":3},{"info":"⊺⇮-655⋓⊺⇮4440=⊺⇮0","layer":2},{"info":"⊺⇮3801⊾⪯⋞⊺⇮2001=⊺⇮3576","layer":3},{"info":"⊺⇮1969⊨⊺⇮1435=⊺⇮8907","layer":3},{"info":"⊺⇮3576∇⊂⋱⊺⇮8907=⊺⇮6606","layer":2},{"info":"⊺⇮0⨔≚≋⊺⇮6606=⊺⇮-55608","layer":1},{"info":"⊺⇮6111⊀⩕=⊺⇮0","layer":3},{"info":"⊺⇮0⊹≧⊝=⊺⇮0","layer":2},{"info":"⊺⇮2899⋅⇍⊺⇮3290=⊺⇮-22","layer":3},{"info":"⊺⇮-22⊓⋫=⊺⇮-106","layer":2},{"info":"⊺⇮0⊔⊺⇮-106=⊺⇮-2930","layer":1},{"info":"⊺⇮-55608∪⫐⊺⇮-2930=⊺⇮-55608","layer":0}]}
{"id":489,"expression_no_base_symbol":"(($6027$↢$1136$⪉⨛$4928$⨂≜$4798$)⩒⫫($2644$⊕∕$3690$⨒$5446$≨$4902$))⫘((($1052$⩘$1027$)⪚⩙≫)⋘⨑⨽)","expression":"((⊺⇮6027↢⊺⇮1136⪉⨛⊺⇮4928⨂≜⊺⇮4798)⩒⫫(⊺⇮2644⊕∕⊺⇮3690⨒⊺⇮5446≨⊺⇮4902))⫘(((⊺⇮1052⩘⊺⇮1027)⪚⩙≫)⋘⨑⨽)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5306,"operation_count":11,"complexity_ratio":482.3636363636364,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":6027,"base":10},"right_expr":{"type":"numeric_atoms","value":1136,"base":10}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4928,"base":10},"right_expr":{"type":"numeric_atoms","value":4798,"base":10}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2644,"base":10},"right_expr":{"type":"numeric_atoms","value":3690,"base":10}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5446,"base":10},"right_expr":{"type":"numeric_atoms","value":4902,"base":10}}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1052,"base":10},"right_expr":{"type":"numeric_atoms","value":1027,"base":10}}}}},"used_operators":["48vC8HMD2b","KFSx94NKJn","EWw2JM7wp4","WR6HLWljOP","k1SHOSEABc","y75s1iXyHd","9cloC0Ngie","0KMCeP1Jsh","WmT3o8z6ya","4n53wtyJvv","cHh1gJQ2o6"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6027","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=6027, right_input=1136, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5543","layer":3},{"info":"number node, value=4928","layer":4},{"info":"number node, value=4798","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=4798, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5543, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"number node, value=2644","layer":4},{"info":"number node, value=3690","layer":4},{"info":"compute binary expreesion, left_input=2644, right_input=3690, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2644","layer":3},{"info":"number node, value=5446","layer":4},{"info":"number node, value=4902","layer":4},{"info":"compute binary expreesion, left_input=5446, right_input=4902, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-51984","layer":3},{"info":"compute binary expreesion, left_input=2644, right_input=-51984, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=1052","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1027, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6027↢⊺⇮1136⪉⨛⊺⇮4928⨂≜⊺⇮4798)⩒⫫(⊺⇮2644⊕∕⊺⇮3690⨒⊺⇮5446≨⊺⇮4902))⫘(((⊺⇮1052⩘⊺⇮1027)⪚⩙≫)⋘⨑⨽)=NaN","reverse_text":"NaN=((⊺⇮6027↢⊺⇮1136⪉⨛⊺⇮4928⨂≜⊺⇮4798)⩒⫫(⊺⇮2644⊕∕⊺⇮3690⨒⊺⇮5446≨⊺⇮4902))⫘(((⊺⇮1052⩘⊺⇮1027)⪚⩙≫)⋘⨑⨽)","cot":[{"info":"⊺⇮6027↢⊺⇮1136=⊺⇮5543","layer":3},{"info":"⊺⇮4928⨂≜⊺⇮4798=NaN","layer":3},{"info":"⊺⇮5543⪉⨛NaN=NaN","layer":2},{"info":"⊺⇮2644⊕∕⊺⇮3690=⊺⇮2644","layer":3},{"info":"⊺⇮5446≨⊺⇮4902=⊺⇮-51984","layer":3},{"info":"⊺⇮2644⨒⊺⇮-51984=⊺⇮1","layer":2},{"info":"NaN⩒⫫⊺⇮1=NaN","layer":1},{"info":"⊺⇮1052⩘⊺⇮1027=⊺⇮160","layer":3},{"info":"⊺⇮160⪚⩙≫=NaN","layer":2},{"info":"NaN⋘⨑⨽=NaN","layer":1},{"info":"NaN⫘NaN=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"(⨑⩽⪐($1218$⨘⋶⪀))≀⫉($2618$≁$5627$⫸⇳($1003$↬⩅∪))⋭≵($1192$→⨶⪴$2494$∵≐)⨚($3277$⫞⩸⩒$3761$⇉⇉)","expression":"(⨑⩽⪐(⊺⇮1218⨘⋶⪀))≀⫉(⊺⇮2618≁⊺⇮5627⫸⇳(⊺⇮1003↬⩅∪))⋭≵(⊺⇮1192→⨶⪴⊺⇮2494∵≐)⨚(⊺⇮3277⫞⩸⩒⊺⇮3761⇉⇉)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":470,"operation_count":12,"complexity_ratio":39.166666666666664,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1218,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2618,"base":10},"right_expr":{"type":"numeric_atoms","value":5627,"base":10}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1003,"base":10}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1192,"base":10},"right_expr":{"type":"numeric_atoms","value":2494,"base":10}}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3277,"base":10},"right_expr":{"type":"numeric_atoms","value":3761,"base":10}}}}},"used_operators":["jBncVCNhdl","oZj3VtZNQx","AF7qkfDlqP","XVKwrhznBb","gx7XJ7hdpj","8N2wDY1A35","VJ330n2nnx","nREPSIbpBE","59igzFyhWz","bF6eod5Gvf","diKm42VcIt","XGcMNugi78"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","8w2t5hMYqp","9FxExcQeMw","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":4},{"info":"compute unary expreesion, input=1218, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"number node, value=2618","layer":4},{"info":"number node, value=5627","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=5627, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=121847","layer":3},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-3009","layer":3},{"info":"compute binary expreesion, left_input=121847, right_input=-3009, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"number node, value=1192","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=2494, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7482","layer":3},{"info":"compute unary expreesion, input=-7482, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=7032","layer":2},{"info":"number node, value=3277","layer":4},{"info":"number node, value=3761","layer":4},{"info":"compute binary expreesion, left_input=3277, right_input=3761, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3761","layer":3},{"info":"compute unary expreesion, input=3761, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-241004","layer":2},{"info":"compute binary expreesion, left_input=7032, right_input=-241004, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=979014","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=979014, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⨑⩽⪐(⊺⇮1218⨘⋶⪀))≀⫉(⊺⇮2618≁⊺⇮5627⫸⇳(⊺⇮1003↬⩅∪))⋭≵(⊺⇮1192→⨶⪴⊺⇮2494∵≐)⨚(⊺⇮3277⫞⩸⩒⊺⇮3761⇉⇉)=⊺⇮67","reverse_text":"⊺⇮67=(⨑⩽⪐(⊺⇮1218⨘⋶⪀))≀⫉(⊺⇮2618≁⊺⇮5627⫸⇳(⊺⇮1003↬⩅∪))⋭≵(⊺⇮1192→⨶⪴⊺⇮2494∵≐)⨚(⊺⇮3277⫞⩸⩒⊺⇮3761⇉⇉)","cot":[{"info":"⊺⇮1218⨘⋶⪀=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⊺⇮2618≁⊺⇮5627=⊺⇮121847","layer":3},{"info":"⊺⇮1003↬⩅∪=⊺⇮-3009","layer":3},{"info":"⊺⇮121847⫸⇳⊺⇮-3009=⊺⇮0","layer":2},{"info":"NaN≀⫉⊺⇮0=NaN","layer":1},{"info":"⊺⇮1192→⨶⪴⊺⇮2494=⊺⇮-7482","layer":3},{"info":"⊺⇮-7482∵≐=⊺⇮7032","layer":2},{"info":"⊺⇮3277⫞⩸⩒⊺⇮3761=⊺⇮3761","layer":3},{"info":"⊺⇮3761⇉⇉=⊺⇮-241004","layer":2},{"info":"⊺⇮7032⨚⊺⇮-241004=⊺⇮979014","layer":1},{"info":"NaN⋭≵⊺⇮979014=⊺⇮67","layer":0}]}
{"id":491,"expression_no_base_symbol":"(($3893$⪉⨛$6462$)⨼⩣($3517$≑≱⪘)∇⊂⋱($1548$⨻⩈⩔$1355$↸(⫶⊄≣$1770$)))∳⫺(($3011$⫘$1963$⩒⫫($3930$⨘⋶⪀))⩘($5987$∳⫺$4250$)≁↽≥$4448$⪃⊛⇣$1768$)","expression":"((⊺⇮3893⪉⨛⊺⇮6462)⨼⩣(⊺⇮3517≑≱⪘)∇⊂⋱(⊺⇮1548⨻⩈⩔⊺⇮1355↸(⫶⊄≣⊺⇮1770)))∳⫺((⊺⇮3011⫘⊺⇮1963⩒⫫(⊺⇮3930⨘⋶⪀))⩘(⊺⇮5987∳⫺⊺⇮4250)≁↽≥⊺⇮4448⪃⊛⇣⊺⇮1768)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10536,"operation_count":15,"complexity_ratio":702.4,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3893,"base":10},"right_expr":{"type":"numeric_atoms","value":6462,"base":10}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":3517,"base":10}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1548,"base":10},"right_expr":{"type":"numeric_atoms","value":1355,"base":10}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1770,"base":10}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3011,"base":10},"right_expr":{"type":"numeric_atoms","value":1963,"base":10}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":3930,"base":10}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5987,"base":10},"right_expr":{"type":"numeric_atoms","value":4250,"base":10}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4448,"base":10},"right_expr":{"type":"numeric_atoms","value":1768,"base":10}}}}},"used_operators":["AzXXKTstlj","nhYeJWJD5X","JxwMv5le6e","EWw2JM7wp4","tGSeddj7UK","1eCjFl0mb9","nEsXyWgiOK","wxb3vTeyAj","cHh1gJQ2o6","KFSx94NKJn","48vC8HMD2b","XVKwrhznBb","ncHt1X6cMc","rrgAzCduG9"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","oWn0xqSxBt","3Oe9XWJUTD","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⊺⇮-260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3893","layer":4},{"info":"number node, value=6462","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=6462, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5432","layer":3},{"info":"number node, value=3517","layer":4},{"info":"compute unary expreesion, input=3517, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=87807","layer":3},{"info":"compute binary expreesion, left_input=5432, right_input=87807, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1548","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=1355, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=3983","layer":3},{"info":"number node, value=1770","layer":4},{"info":"compute unary expreesion, input=1770, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=56420749","layer":3},{"info":"compute binary expreesion, left_input=3983, right_input=56420749, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3983","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3983, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=3011","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=1963, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3545341","layer":3},{"info":"number node, value=3930","layer":4},{"info":"compute unary expreesion, input=3930, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3545341, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=5987","layer":4},{"info":"number node, value=4250","layer":4},{"info":"compute binary expreesion, left_input=5987, right_input=4250, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=4448","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=4448, right_input=1768, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=1234, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=6032","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6032, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3893⪉⨛⊺⇮6462)⨼⩣(⊺⇮3517≑≱⪘)∇⊂⋱(⊺⇮1548⨻⩈⩔⊺⇮1355↸(⫶⊄≣⊺⇮1770)))∳⫺((⊺⇮3011⫘⊺⇮1963⩒⫫(⊺⇮3930⨘⋶⪀))⩘(⊺⇮5987∳⫺⊺⇮4250)≁↽≥⊺⇮4448⪃⊛⇣⊺⇮1768)=⊺⇮-260","reverse_text":"⊺⇮-260=((⊺⇮3893⪉⨛⊺⇮6462)⨼⩣(⊺⇮3517≑≱⪘)∇⊂⋱(⊺⇮1548⨻⩈⩔⊺⇮1355↸(⫶⊄≣⊺⇮1770)))∳⫺((⊺⇮3011⫘⊺⇮1963⩒⫫(⊺⇮3930⨘⋶⪀))⩘(⊺⇮5987∳⫺⊺⇮4250)≁↽≥⊺⇮4448⪃⊛⇣⊺⇮1768)","cot":[{"info":"⊺⇮3893⪉⨛⊺⇮6462=⊺⇮5432","layer":3},{"info":"⊺⇮3517≑≱⪘=⊺⇮87807","layer":3},{"info":"⊺⇮5432⨼⩣⊺⇮87807=NaN","layer":2},{"info":"⊺⇮1548⨻⩈⩔⊺⇮1355=⊺⇮3983","layer":3},{"info":"⫶⊄≣⊺⇮1770=⊺⇮56420749","layer":3},{"info":"⊺⇮3983↸⊺⇮56420749=⊺⇮3983","layer":2},{"info":"NaN∇⊂⋱⊺⇮3983=NaN","layer":1},{"info":"⊺⇮3011⫘⊺⇮1963=⊺⇮3545341","layer":3},{"info":"⊺⇮3930⨘⋶⪀=NaN","layer":3},{"info":"⊺⇮3545341⩒⫫NaN=NaN","layer":2},{"info":"⊺⇮5987∳⫺⊺⇮4250=⊺⇮-260","layer":3},{"info":"⊺⇮4448⪃⊛⇣⊺⇮1768=⊺⇮1234","layer":3},{"info":"⊺⇮-260≁↽≥⊺⇮1234=⊺⇮6032","layer":2},{"info":"NaN⩘⊺⇮6032=⊺⇮160","layer":1},{"info":"NaN∳⫺⊺⇮160=⊺⇮-260","layer":0}]}
{"id":492,"expression_no_base_symbol":"((⪡⇡≛($5042$⨸$2135$))⇼⇔∾$3619$≴⪞⇿$1688$⩚⊴⇥($1328$≓∲$2626$))∳⫺($4410$⪝$3630$∇⊂⋱($3116$⇼⇔∾$2695$)⨵⪆$5736$⪔$1286$≥⨤⩑(⨦⪝$8286$))","expression":"((⪡⇡≛(⊺⇮5042⨸⊺⇮2135))⇼⇔∾⊺⇮3619≴⪞⇿⊺⇮1688⩚⊴⇥(⊺⇮1328≓∲⊺⇮2626))∳⫺(⊺⇮4410⪝⊺⇮3630∇⊂⋱(⊺⇮3116⇼⇔∾⊺⇮2695)⨵⪆⊺⇮5736⪔⊺⇮1286≥⨤⩑(⨦⪝⊺⇮8286))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":36904,"operation_count":14,"complexity_ratio":2636.0,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5042,"base":10},"right_expr":{"type":"numeric_atoms","value":2135,"base":10}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3619,"base":10},"right_expr":{"type":"numeric_atoms","value":1688,"base":10}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1328,"base":10},"right_expr":{"type":"numeric_atoms","value":2626,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4410,"base":10},"right_expr":{"type":"numeric_atoms","value":3630,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3116,"base":10},"right_expr":{"type":"numeric_atoms","value":2695,"base":10}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5736,"base":10},"right_expr":{"type":"numeric_atoms","value":1286,"base":10}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":8286,"base":10}}}}},"used_operators":["AzXXKTstlj","tifHPKVTfV","qL4PrbW1Dq","KmoU8R5UQR","NTOWxs364D","lvlrscuwVU","s1XTVnmDOJ","2DQ55sFlQl","nhYeJWJD5X","wicAB68Tmb","gJLn6v0xnP","GjBEYRfMaF","SUjycxNXIR"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","t8gj7n24qd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"⊺⇮-89583322","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5042","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=5042, right_input=2135, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=10084","layer":3},{"info":"compute unary expreesion, input=10084, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-10084","layer":2},{"info":"number node, value=3619","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=3619, right_input=1688, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=22391666","layer":3},{"info":"number node, value=1328","layer":4},{"info":"number node, value=2626","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=2626, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=14063","layer":3},{"info":"compute binary expreesion, left_input=22391666, right_input=14063, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-22405850","layer":2},{"info":"compute binary expreesion, left_input=-10084, right_input=-22405850, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-22395766","layer":1},{"info":"number node, value=4410","layer":4},{"info":"number node, value=3630","layer":4},{"info":"compute binary expreesion, left_input=4410, right_input=3630, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3519","layer":3},{"info":"number node, value=3116","layer":4},{"info":"number node, value=2695","layer":4},{"info":"compute binary expreesion, left_input=3116, right_input=2695, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-421","layer":3},{"info":"compute binary expreesion, left_input=-3519, right_input=-421, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=842","layer":2},{"info":"number node, value=5736","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=5736, right_input=1286, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=8286","layer":4},{"info":"compute unary expreesion, input=8286, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-1884, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=900","layer":2},{"info":"compute binary expreesion, left_input=842, right_input=900, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-22395766, right_input=160, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-89583322","layer":0}],"base":10,"result_base":10,"text":"((⪡⇡≛(⊺⇮5042⨸⊺⇮2135))⇼⇔∾⊺⇮3619≴⪞⇿⊺⇮1688⩚⊴⇥(⊺⇮1328≓∲⊺⇮2626))∳⫺(⊺⇮4410⪝⊺⇮3630∇⊂⋱(⊺⇮3116⇼⇔∾⊺⇮2695)⨵⪆⊺⇮5736⪔⊺⇮1286≥⨤⩑(⨦⪝⊺⇮8286))=⊺⇮-89583322","reverse_text":"⊺⇮-89583322=((⪡⇡≛(⊺⇮5042⨸⊺⇮2135))⇼⇔∾⊺⇮3619≴⪞⇿⊺⇮1688⩚⊴⇥(⊺⇮1328≓∲⊺⇮2626))∳⫺(⊺⇮4410⪝⊺⇮3630∇⊂⋱(⊺⇮3116⇼⇔∾⊺⇮2695)⨵⪆⊺⇮5736⪔⊺⇮1286≥⨤⩑(⨦⪝⊺⇮8286))","cot":[{"info":"⊺⇮5042⨸⊺⇮2135=⊺⇮10084","layer":3},{"info":"⪡⇡≛⊺⇮10084=⊺⇮-10084","layer":2},{"info":"⊺⇮3619≴⪞⇿⊺⇮1688=⊺⇮22391666","layer":3},{"info":"⊺⇮1328≓∲⊺⇮2626=⊺⇮14063","layer":3},{"info":"⊺⇮22391666⩚⊴⇥⊺⇮14063=⊺⇮-22405850","layer":2},{"info":"⊺⇮-10084⇼⇔∾⊺⇮-22405850=⊺⇮-22395766","layer":1},{"info":"⊺⇮4410⪝⊺⇮3630=⊺⇮-3519","layer":3},{"info":"⊺⇮3116⇼⇔∾⊺⇮2695=⊺⇮-421","layer":3},{"info":"⊺⇮-3519∇⊂⋱⊺⇮-421=⊺⇮842","layer":2},{"info":"⊺⇮5736⪔⊺⇮1286=⊺⇮450","layer":3},{"info":"⨦⪝⊺⇮8286=⊺⇮-1884","layer":3},{"info":"⊺⇮450≥⨤⩑⊺⇮-1884=⊺⇮900","layer":2},{"info":"⊺⇮842⨵⪆⊺⇮900=⊺⇮160","layer":1},{"info":"⊺⇮-22395766∳⫺⊺⇮160=⊺⇮-89583322","layer":0}]}
{"id":493,"expression_no_base_symbol":"($2385$≁$4221$⩣⫁∢$6245$⩦$1802$∕⩚($4724$∽$2781$)∛$2788$∳⫺$4659$)⫃⨇(($6107$↡⊰⫅$3684$)⇴∐$1071$⨐$1030$)⪚($2661$⪛$2229$⨳⩥⨓$3808$∊∟⩊$6537$)","expression":"(⊺⇮2385≁⊺⇮4221⩣⫁∢⊺⇮6245⩦⊺⇮1802∕⩚(⊺⇮4724∽⊺⇮2781)∛⊺⇮2788∳⫺⊺⇮4659)⫃⨇((⊺⇮6107↡⊰⫅⊺⇮3684)⇴∐⊺⇮1071⨐⊺⇮1030)⪚(⊺⇮2661⪛⊺⇮2229⨳⩥⨓⊺⇮3808∊∟⩊⊺⇮6537)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":51895,"operation_count":15,"complexity_ratio":3459.6666666666665,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2385,"base":10},"right_expr":{"type":"numeric_atoms","value":4221,"base":10}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6245,"base":10},"right_expr":{"type":"numeric_atoms","value":1802,"base":10}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4724,"base":10},"right_expr":{"type":"numeric_atoms","value":2781,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2788,"base":10},"right_expr":{"type":"numeric_atoms","value":4659,"base":10}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":6107,"base":10},"right_expr":{"type":"numeric_atoms","value":3684,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1071,"base":10},"right_expr":{"type":"numeric_atoms","value":1030,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2661,"base":10},"right_expr":{"type":"numeric_atoms","value":2229,"base":10}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3808,"base":10},"right_expr":{"type":"numeric_atoms","value":6537,"base":10}}}}},"used_operators":["09Ly4LVMIf","z9ffQ9n5Zr","JDUIKTTSIa","8N2wDY1A35","0kmYd0q39Y","w2537kitQq","y4ImoPnbV5","AzXXKTstlj","HrjLwUk87U","HnzytWxmAO","VCtxkLNOzz","Noe24qw2ks","nCS4ZIUYfx","uFcxV4UQCh","ddLRYrp01A"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","NTOWxs364D","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":4},{"info":"number node, value=4221","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=4221, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=88103","layer":3},{"info":"number node, value=6245","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=6245, right_input=1802, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=12490","layer":3},{"info":"compute binary expreesion, left_input=88103, right_input=12490, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-176045","layer":2},{"info":"number node, value=4724","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=2781, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-31785","layer":3},{"info":"number node, value=2788","layer":4},{"info":"number node, value=4659","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=4659, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-31785, right_input=-260, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-176045, right_input=67, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=6107","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=6107, right_input=3684, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=7368","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1030, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2142","layer":3},{"info":"compute binary expreesion, left_input=7368, right_input=-2142, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=2661","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=2661, right_input=2229, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=432","layer":3},{"info":"number node, value=3808","layer":4},{"info":"number node, value=6537","layer":4},{"info":"compute binary expreesion, left_input=3808, right_input=6537, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6537","layer":3},{"info":"compute binary expreesion, left_input=432, right_input=6537, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6105","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6105, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2385≁⊺⇮4221⩣⫁∢⊺⇮6245⩦⊺⇮1802∕⩚(⊺⇮4724∽⊺⇮2781)∛⊺⇮2788∳⫺⊺⇮4659)⫃⨇((⊺⇮6107↡⊰⫅⊺⇮3684)⇴∐⊺⇮1071⨐⊺⇮1030)⪚(⊺⇮2661⪛⊺⇮2229⨳⩥⨓⊺⇮3808∊∟⩊⊺⇮6537)=NaN","reverse_text":"NaN=(⊺⇮2385≁⊺⇮4221⩣⫁∢⊺⇮6245⩦⊺⇮1802∕⩚(⊺⇮4724∽⊺⇮2781)∛⊺⇮2788∳⫺⊺⇮4659)⫃⨇((⊺⇮6107↡⊰⫅⊺⇮3684)⇴∐⊺⇮1071⨐⊺⇮1030)⪚(⊺⇮2661⪛⊺⇮2229⨳⩥⨓⊺⇮3808∊∟⩊⊺⇮6537)","cot":[{"info":"⊺⇮2385≁⊺⇮4221=⊺⇮88103","layer":3},{"info":"⊺⇮6245⩦⊺⇮1802=⊺⇮12490","layer":3},{"info":"⊺⇮88103⩣⫁∢⊺⇮12490=⊺⇮-176045","layer":2},{"info":"⊺⇮4724∽⊺⇮2781=⊺⇮-31785","layer":3},{"info":"⊺⇮2788∳⫺⊺⇮4659=⊺⇮-260","layer":3},{"info":"⊺⇮-31785∛⊺⇮-260=⊺⇮67","layer":2},{"info":"⊺⇮-176045∕⩚⊺⇮67=⊺⇮-487","layer":1},{"info":"⊺⇮6107↡⊰⫅⊺⇮3684=⊺⇮7368","layer":3},{"info":"⊺⇮1071⨐⊺⇮1030=⊺⇮-2142","layer":3},{"info":"⊺⇮7368⇴∐⊺⇮-2142=NaN","layer":2},{"info":"⊺⇮2661⪛⊺⇮2229=⊺⇮432","layer":3},{"info":"⊺⇮3808∊∟⩊⊺⇮6537=⊺⇮6537","layer":3},{"info":"⊺⇮432⨳⩥⨓⊺⇮6537=⊺⇮6105","layer":2},{"info":"NaN⪚⊺⇮6105=NaN","layer":1},{"info":"⊺⇮-487⫃⨇NaN=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"(($5331$⨁⊸⫻)⊨($1195$⨐⩸⫘$4731$)⫌⩉⩟(⩷($1079$∠⫱$1066$)))⨭⪣($1444$⩌⋺$1453$⫰⋱$1937$⪬$2963$)⇡⇂(↴⪽⋼($4217$↱$2425$))","expression":"((⊺⇮5331⨁⊸⫻)⊨(⊺⇮1195⨐⩸⫘⊺⇮4731)⫌⩉⩟(⩷(⊺⇮1079∠⫱⊺⇮1066)))⨭⪣(⊺⇮1444⩌⋺⊺⇮1453⫰⋱⊺⇮1937⪬⊺⇮2963)⇡⇂(↴⪽⋼(⊺⇮4217↱⊺⇮2425))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":317598,"operation_count":13,"complexity_ratio":24430.615384615383,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5331,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1195,"base":10},"right_expr":{"type":"numeric_atoms","value":4731,"base":10}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1079,"base":10},"right_expr":{"type":"numeric_atoms","value":1066,"base":10}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1444,"base":10},"right_expr":{"type":"numeric_atoms","value":1453,"base":10}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1937,"base":10},"right_expr":{"type":"numeric_atoms","value":2963,"base":10}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4217,"base":10},"right_expr":{"type":"numeric_atoms","value":2425,"base":10}}}}},"used_operators":["kn8WO9XteQ","XIIwhv8d0m","vg4gO5BX6G","glklzrTFfD","fu6greOZ01","1h0rLqGiFr","QvoQhV0rrE","UMwdvZNt44","6o9Blt3TJ6","g7Hmc5v1ko","Ez1Nq5fNfI","5TUYCnJO6w","SR5kFfdi6N"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5331","layer":4},{"info":"compute unary expreesion, input=5331, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5331","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=4731","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=4731, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5331, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=22355","layer":2},{"info":"number node, value=1079","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=1066, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-14887","layer":2},{"info":"compute binary expreesion, left_input=22355, right_input=-14887, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1444","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=1453, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3018","layer":3},{"info":"number node, value=1937","layer":4},{"info":"number node, value=2963","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=2963, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-3018, right_input=1234, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=3051","layer":2},{"info":"number node, value=4217","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=4217, right_input=2425, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-6753","layer":3},{"info":"compute unary expreesion, input=-6753, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"compute binary expreesion, left_input=3051, right_input=35822, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5331⨁⊸⫻)⊨(⊺⇮1195⨐⩸⫘⊺⇮4731)⫌⩉⩟(⩷(⊺⇮1079∠⫱⊺⇮1066)))⨭⪣(⊺⇮1444⩌⋺⊺⇮1453⫰⋱⊺⇮1937⪬⊺⇮2963)⇡⇂(↴⪽⋼(⊺⇮4217↱⊺⇮2425))=⊺⇮-21","reverse_text":"⊺⇮-21=((⊺⇮5331⨁⊸⫻)⊨(⊺⇮1195⨐⩸⫘⊺⇮4731)⫌⩉⩟(⩷(⊺⇮1079∠⫱⊺⇮1066)))⨭⪣(⊺⇮1444⩌⋺⊺⇮1453⫰⋱⊺⇮1937⪬⊺⇮2963)⇡⇂(↴⪽⋼(⊺⇮4217↱⊺⇮2425))","cot":[{"info":"⊺⇮5331⨁⊸⫻=⊺⇮5331","layer":3},{"info":"⊺⇮1195⨐⩸⫘⊺⇮4731=NaN","layer":3},{"info":"⊺⇮5331⊨NaN=⊺⇮22355","layer":2},{"info":"⊺⇮1079∠⫱⊺⇮1066=⊺⇮1234","layer":3},{"info":"⩷⊺⇮1234=⊺⇮-14887","layer":2},{"info":"⊺⇮22355⫌⩉⩟⊺⇮-14887=⊺⇮-50","layer":1},{"info":"⊺⇮1444⩌⋺⊺⇮1453=⊺⇮-3018","layer":3},{"info":"⊺⇮1937⪬⊺⇮2963=⊺⇮1234","layer":3},{"info":"⊺⇮-3018⫰⋱⊺⇮1234=⊺⇮3051","layer":2},{"info":"⊺⇮4217↱⊺⇮2425=⊺⇮-6753","layer":3},{"info":"↴⪽⋼⊺⇮-6753=⊺⇮35822","layer":2},{"info":"⊺⇮3051⇡⇂⊺⇮35822=NaN","layer":1},{"info":"⊺⇮-50⨭⪣NaN=⊺⇮-21","layer":0}]}
{"id":495,"expression_no_base_symbol":"($1405$↺$1273$∙∹∝($4261$⨌↪))⇴∐(($5438$⩺⋐⫨)⊴⇁⪶)⪛⫼(⪹($1898$↱$4634$)⪢($3903$≒∊$2578$))","expression":"(⊺⇮1405↺⊺⇮1273∙∹∝(⊺⇮4261⨌↪))⇴∐((⊺⇮5438⩺⋐⫨)⊴⇁⪶)⪛⫼(⪹(⊺⇮1898↱⊺⇮4634)⪢(⊺⇮3903≒∊⊺⇮2578))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4798,"operation_count":11,"complexity_ratio":436.1818181818182,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1405,"base":10},"right_expr":{"type":"numeric_atoms","value":1273,"base":10}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":4261,"base":10}}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":5438,"base":10}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1898,"base":10},"right_expr":{"type":"numeric_atoms","value":4634,"base":10}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3903,"base":10},"right_expr":{"type":"numeric_atoms","value":2578,"base":10}}}}},"used_operators":["hyuBjUqXlG","HnzytWxmAO","HmxsFra2vL","7j4O788W3g","cWQsF5MvuD","oo9mF6JIpo","yS9ePUuUdn","USyYr0JgAa","dWAJyo7jo9","SR5kFfdi6N","5KTvxBwnZo"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","tifHPKVTfV","k8jYdgA6NY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1405","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=1273, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1273","layer":3},{"info":"number node, value=4261","layer":4},{"info":"compute unary expreesion, input=4261, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute binary expreesion, left_input=1273, right_input=-480, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=5438","layer":4},{"info":"compute unary expreesion, input=5438, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=-7678","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-7678, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"number node, value=1898","layer":4},{"info":"number node, value=4634","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=4634, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-13380","layer":3},{"info":"number node, value=3903","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=2578, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3419","layer":3},{"info":"compute binary expreesion, left_input=-13380, right_input=-3419, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1405↺⊺⇮1273∙∹∝(⊺⇮4261⨌↪))⇴∐((⊺⇮5438⩺⋐⫨)⊴⇁⪶)⪛⫼(⪹(⊺⇮1898↱⊺⇮4634)⪢(⊺⇮3903≒∊⊺⇮2578))=NaN","reverse_text":"NaN=(⊺⇮1405↺⊺⇮1273∙∹∝(⊺⇮4261⨌↪))⇴∐((⊺⇮5438⩺⋐⫨)⊴⇁⪶)⪛⫼(⪹(⊺⇮1898↱⊺⇮4634)⪢(⊺⇮3903≒∊⊺⇮2578))","cot":[{"info":"⊺⇮1405↺⊺⇮1273=⊺⇮1273","layer":3},{"info":"⊺⇮4261⨌↪=⊺⇮-480","layer":3},{"info":"⊺⇮1273∙∹∝⊺⇮-480=⊺⇮0","layer":2},{"info":"⊺⇮5438⩺⋐⫨=⊺⇮0","layer":3},{"info":"⊺⇮0⊴⇁⪶=⊺⇮-7678","layer":2},{"info":"⊺⇮0⇴∐⊺⇮-7678=⊺⇮-116","layer":1},{"info":"⊺⇮1898↱⊺⇮4634=⊺⇮-13380","layer":3},{"info":"⊺⇮3903≒∊⊺⇮2578=⊺⇮-3419","layer":3},{"info":"⊺⇮-13380⪢⊺⇮-3419=NaN","layer":2},{"info":"⪹NaN=NaN","layer":1},{"info":"⊺⇮-116⪛⫼NaN=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"((($5693$≹⇙⪍$3203$)⇔⨋)∝($1597$⫑)≚⊃≕(⋣$1091$))↤⩊((≱⇩⩕$2399$⪬$7992$)∣($1682$≒∊$3868$⪔(↩$4205$)))","expression":"(((⊺⇮5693≹⇙⪍⊺⇮3203)⇔⨋)∝(⊺⇮1597⫑)≚⊃≕(⋣⊺⇮1091))↤⩊((≱⇩⩕⊺⇮2399⪬⊺⇮7992)∣(⊺⇮1682≒∊⊺⇮3868⪔(↩⊺⇮4205)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":32113,"operation_count":13,"complexity_ratio":2470.230769230769,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5693,"base":10},"right_expr":{"type":"numeric_atoms","value":3203,"base":10}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1597,"base":10}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1091,"base":10}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2399,"base":10},"right_expr":{"type":"numeric_atoms","value":7992,"base":10}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1682,"base":10},"right_expr":{"type":"numeric_atoms","value":3868,"base":10}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4205,"base":10}}}}},"used_operators":["13rbtpv6ld","cTDWOvIxvz","uBihLCJcMX","AHs5Up7iyr","Bmrmz2XGnR","CgIo77xlM2","zQWRhDnn8F","PPChnnnBFF","3DZMoQKiUl","Ez1Nq5fNfI","GjBEYRfMaF","5KTvxBwnZo","jLgFTUHLKL"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","7j4O788W3g","W4YGzv6Whe","COABgblf1C","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5693","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=5693, right_input=3203, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":2},{"info":"number node, value=1597","layer":4},{"info":"compute unary expreesion, input=1597, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-320659","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=-320659, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-625568","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-625568, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"number node, value=2399","layer":4},{"info":"number node, value=7992","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=7992, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"number node, value=1682","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=3868, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1198","layer":3},{"info":"number node, value=4205","layer":4},{"info":"compute unary expreesion, input=4205, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-30860","layer":3},{"info":"compute binary expreesion, left_input=-1198, right_input=-30860, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=450, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮5693≹⇙⪍⊺⇮3203)⇔⨋)∝(⊺⇮1597⫑)≚⊃≕(⋣⊺⇮1091))↤⩊((≱⇩⩕⊺⇮2399⪬⊺⇮7992)∣(⊺⇮1682≒∊⊺⇮3868⪔(↩⊺⇮4205)))=NaN","reverse_text":"NaN=(((⊺⇮5693≹⇙⪍⊺⇮3203)⇔⨋)∝(⊺⇮1597⫑)≚⊃≕(⋣⊺⇮1091))↤⩊((≱⇩⩕⊺⇮2399⪬⊺⇮7992)∣(⊺⇮1682≒∊⊺⇮3868⪔(↩⊺⇮4205)))","cot":[{"info":"⊺⇮5693≹⇙⪍⊺⇮3203=NaN","layer":3},{"info":"NaN⇔⨋=NaN","layer":2},{"info":"⊺⇮1597⫑=⊺⇮3979","layer":3},{"info":"⋣⊺⇮1091=⊺⇮-320659","layer":3},{"info":"⊺⇮3979≚⊃≕⊺⇮-320659=⊺⇮-625568","layer":2},{"info":"NaN∝⊺⇮-625568=NaN","layer":1},{"info":"⊺⇮2399⪬⊺⇮7992=⊺⇮1234","layer":3},{"info":"≱⇩⩕⊺⇮1234=⊺⇮113","layer":2},{"info":"⊺⇮1682≒∊⊺⇮3868=⊺⇮-1198","layer":3},{"info":"↩⊺⇮4205=⊺⇮-30860","layer":3},{"info":"⊺⇮-1198⪔⊺⇮-30860=⊺⇮450","layer":2},{"info":"⊺⇮113∣⊺⇮450=⊺⇮113","layer":1},{"info":"NaN↤⩊⊺⇮113=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"(($2478$∥⊢⊲$2262$⪥⨬⪅)↱($1349$≧⫂∧$1508$)⋹⋡⊁$9064$≎⪠$1022$)↳∿⪆($7357$⪒⊣⊆$2402$⨰($4544$⫸⇳$1137$))∳⫺($4334$⊱⇼⊻$1704$⪹)","expression":"((⊺⇮2478∥⊢⊲⊺⇮2262⪥⨬⪅)↱(⊺⇮1349≧⫂∧⊺⇮1508)⋹⋡⊁⊺⇮9064≎⪠⊺⇮1022)↳∿⪆(⊺⇮7357⪒⊣⊆⊺⇮2402⨰(⊺⇮4544⫸⇳⊺⇮1137))∳⫺(⊺⇮4334⊱⇼⊻⊺⇮1704⪹)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":84283,"operation_count":13,"complexity_ratio":6483.307692307692,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2478,"base":10},"right_expr":{"type":"numeric_atoms","value":2262,"base":10}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1349,"base":10},"right_expr":{"type":"numeric_atoms","value":1508,"base":10}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":9064,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":7357,"base":10},"right_expr":{"type":"numeric_atoms","value":2402,"base":10}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4544,"base":10},"right_expr":{"type":"numeric_atoms","value":1137,"base":10}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4334,"base":10},"right_expr":{"type":"numeric_atoms","value":1704,"base":10}}}}},"used_operators":["Cw4SuJJGHO","SR5kFfdi6N","zNRQejTB5A","v1UQAVDJRr","As8RqfVLgs","Ph9nP6C5qx","aNhz54LH3e","AzXXKTstlj","eewbuw0ToL","eRqsBgTDFp","gx7XJ7hdpj","B3sABdIn96","FyVja0WsTP"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","EBcxylXtPf","rGHVDoGpnC","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2478","layer":4},{"info":"number node, value=2262","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=2262, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=nan","layer":2},{"info":"number node, value=1349","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1508, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1035","layer":3},{"info":"number node, value=9064","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=9064, right_input=1022, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=1035, right_input=19558, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=20308","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20308, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-60402","layer":1},{"info":"number node, value=7357","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=7357, right_input=2402, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=14714","layer":3},{"info":"number node, value=4544","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=4544, right_input=1137, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14714, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=14724","layer":2},{"info":"number node, value=4334","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=4334, right_input=1704, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=5360","layer":2},{"info":"compute binary expreesion, left_input=14724, right_input=5360, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-60402, right_input=-260, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2478∥⊢⊲⊺⇮2262⪥⨬⪅)↱(⊺⇮1349≧⫂∧⊺⇮1508)⋹⋡⊁⊺⇮9064≎⪠⊺⇮1022)↳∿⪆(⊺⇮7357⪒⊣⊆⊺⇮2402⨰(⊺⇮4544⫸⇳⊺⇮1137))∳⫺(⊺⇮4334⊱⇼⊻⊺⇮1704⪹)=NaN","reverse_text":"NaN=((⊺⇮2478∥⊢⊲⊺⇮2262⪥⨬⪅)↱(⊺⇮1349≧⫂∧⊺⇮1508)⋹⋡⊁⊺⇮9064≎⪠⊺⇮1022)↳∿⪆(⊺⇮7357⪒⊣⊆⊺⇮2402⨰(⊺⇮4544⫸⇳⊺⇮1137))∳⫺(⊺⇮4334⊱⇼⊻⊺⇮1704⪹)","cot":[{"info":"⊺⇮2478∥⊢⊲⊺⇮2262=NaN","layer":3},{"info":"NaN⪥⨬⪅=NaN","layer":2},{"info":"⊺⇮1349≧⫂∧⊺⇮1508=⊺⇮1035","layer":3},{"info":"⊺⇮9064≎⪠⊺⇮1022=⊺⇮19558","layer":3},{"info":"⊺⇮1035⋹⋡⊁⊺⇮19558=⊺⇮20308","layer":2},{"info":"NaN↱⊺⇮20308=⊺⇮-60402","layer":1},{"info":"⊺⇮7357⪒⊣⊆⊺⇮2402=⊺⇮14714","layer":3},{"info":"⊺⇮4544⫸⇳⊺⇮1137=⊺⇮0","layer":3},{"info":"⊺⇮14714⨰⊺⇮0=⊺⇮14724","layer":2},{"info":"⊺⇮4334⊱⇼⊻⊺⇮1704=⊺⇮434","layer":3},{"info":"⊺⇮434⪹=⊺⇮5360","layer":2},{"info":"⊺⇮14724∳⫺⊺⇮5360=⊺⇮-260","layer":1},{"info":"⊺⇮-60402↳∿⪆⊺⇮-260=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"((⇋⊎⋝$3573$)⩷∴($1671$⨸⪁$2529$)+($4769$∈)⫳≱↱$2109$⋣⋖$1842$)⊮⊟↴((($2157$⊹∫⫚$3404$)⪛(⋠∜$1760$))⩘(∓⪦$1770$≹⇙⪍$2497$))","expression":"((⇋⊎⋝⊺⇮3573)⩷∴(⊺⇮1671⨸⪁⊺⇮2529)+(⊺⇮4769∈)⫳≱↱⊺⇮2109⋣⋖⊺⇮1842)⊮⊟↴(((⊺⇮2157⊹∫⫚⊺⇮3404)⪛(⋠∜⊺⇮1760))⩘(∓⪦⊺⇮1770≹⇙⪍⊺⇮2497))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4140,"operation_count":14,"complexity_ratio":295.7142857142857,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3573,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1671,"base":10},"right_expr":{"type":"numeric_atoms","value":2529,"base":10}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":4769,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2109,"base":10},"right_expr":{"type":"numeric_atoms","value":1842,"base":10}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2157,"base":10},"right_expr":{"type":"numeric_atoms","value":3404,"base":10}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1760,"base":10}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1770,"base":10},"right_expr":{"type":"numeric_atoms","value":2497,"base":10}}}}},"used_operators":["QDVgd2eftb","W4YGzv6Whe","9FxExcQeMw","CzM2PEoXns","g55IO6H4Gj","ZvLB05nZmT","ztP7wcbY7m","J0M6qkBnIM","cHh1gJQ2o6","uFcxV4UQCh","uWAJUKEvyW","ZJpFhNJr3x","D309nIvmXG","AHs5Up7iyr"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","dWAJyo7jo9"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3573","layer":4},{"info":"compute unary expreesion, input=3573, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1671","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=2529, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8400","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8400, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=4769","layer":4},{"info":"compute unary expreesion, input=4769, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=13636","layer":3},{"info":"number node, value=2109","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=1842, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2109","layer":3},{"info":"compute binary expreesion, left_input=13636, right_input=2109, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2157","layer":4},{"info":"number node, value=3404","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=3404, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-244","layer":3},{"info":"number node, value=1760","layer":4},{"info":"compute unary expreesion, input=1760, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=9324","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=9324, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=9080","layer":2},{"info":"number node, value=1770","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=2497, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9080, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⇋⊎⋝⊺⇮3573)⩷∴(⊺⇮1671⨸⪁⊺⇮2529)+(⊺⇮4769∈)⫳≱↱⊺⇮2109⋣⋖⊺⇮1842)⊮⊟↴(((⊺⇮2157⊹∫⫚⊺⇮3404)⪛(⋠∜⊺⇮1760))⩘(∓⪦⊺⇮1770≹⇙⪍⊺⇮2497))=⊺⇮0","reverse_text":"⊺⇮0=((⇋⊎⋝⊺⇮3573)⩷∴(⊺⇮1671⨸⪁⊺⇮2529)+(⊺⇮4769∈)⫳≱↱⊺⇮2109⋣⋖⊺⇮1842)⊮⊟↴(((⊺⇮2157⊹∫⫚⊺⇮3404)⪛(⋠∜⊺⇮1760))⩘(∓⪦⊺⇮1770≹⇙⪍⊺⇮2497))","cot":[{"info":"⇋⊎⋝⊺⇮3573=NaN","layer":3},{"info":"⊺⇮1671⨸⪁⊺⇮2529=⊺⇮8400","layer":3},{"info":"NaN⩷∴⊺⇮8400=NaN","layer":2},{"info":"⊺⇮4769∈=⊺⇮13636","layer":3},{"info":"⊺⇮2109⋣⋖⊺⇮1842=⊺⇮2109","layer":3},{"info":"⊺⇮13636⫳≱↱⊺⇮2109=⊺⇮-204","layer":2},{"info":"NaN+⊺⇮-204=NaN","layer":1},{"info":"⊺⇮2157⊹∫⫚⊺⇮3404=⊺⇮-244","layer":3},{"info":"⋠∜⊺⇮1760=⊺⇮9324","layer":3},{"info":"⊺⇮-244⪛⊺⇮9324=⊺⇮9080","layer":2},{"info":"⊺⇮1770≹⇙⪍⊺⇮2497=NaN","layer":3},{"info":"∓⪦NaN=NaN","layer":2},{"info":"⊺⇮9080⩘NaN=⊺⇮160","layer":1},{"info":"NaN⊮⊟↴⊺⇮160=⊺⇮0","layer":0}]}
{"id":499,"expression_no_base_symbol":"($7948$⊮⊟↴$3155$∳⫺($2842$⫘$5634$))⪬(⇖⫷⫕($1171$⫢⨠$2312$))↬(($3039$⫔⩽⩺$2437$)⇴($2274$⫲≸⪮$1429$)⊹∫⫚$5146$⪟⇏$4506$∇⊂⋱$1220$⨂≜$2069$)","expression":"(⊺⇮7948⊮⊟↴⊺⇮3155∳⫺(⊺⇮2842⫘⊺⇮5634))⪬(⇖⫷⫕(⊺⇮1171⫢⨠⊺⇮2312))↬((⊺⇮3039⫔⩽⩺⊺⇮2437)⇴(⊺⇮2274⫲≸⪮⊺⇮1429)⊹∫⫚⊺⇮5146⪟⇏⊺⇮4506∇⊂⋱⊺⇮1220⨂≜⊺⇮2069)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8089,"operation_count":14,"complexity_ratio":577.7857142857143,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":7948,"base":10},"right_expr":{"type":"numeric_atoms","value":3155,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2842,"base":10},"right_expr":{"type":"numeric_atoms","value":5634,"base":10}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1171,"base":10},"right_expr":{"type":"numeric_atoms","value":2312,"base":10}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3039,"base":10},"right_expr":{"type":"numeric_atoms","value":2437,"base":10}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2274,"base":10},"right_expr":{"type":"numeric_atoms","value":1429,"base":10}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5146,"base":10},"right_expr":{"type":"numeric_atoms","value":4506,"base":10}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1220,"base":10},"right_expr":{"type":"numeric_atoms","value":2069,"base":10}}}}},"used_operators":["B5M0gjZbta","Ez1Nq5fNfI","AzXXKTstlj","QDVgd2eftb","48vC8HMD2b","UHmRx3INFg","xlXykHWxX1","uWAJUKEvyW","4JB6nKBMSY","i9eR4S00cU","P3lXMJvFrc","nhYeJWJD5X","GODebY97qR","k1SHOSEABc"],"dependent_operators":["rGHVDoGpnC","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","sdazOOVcIp","NTOWxs364D","COABgblf1C","Tw270M8GLb","fu6greOZ01","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7948","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=7948, right_input=3155, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2842","layer":4},{"info":"number node, value=5634","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=5634, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3346597","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3346597, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-6693132","layer":2},{"info":"number node, value=1171","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=2312, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-6693132, right_input=2822, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=3039","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=2437, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=2274","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=1429, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2274","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2274, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"number node, value=5146","layer":4},{"info":"number node, value=4506","layer":4},{"info":"compute binary expreesion, left_input=5146, right_input=4506, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=2069, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮7948⊮⊟↴⊺⇮3155∳⫺(⊺⇮2842⫘⊺⇮5634))⪬(⇖⫷⫕(⊺⇮1171⫢⨠⊺⇮2312))↬((⊺⇮3039⫔⩽⩺⊺⇮2437)⇴(⊺⇮2274⫲≸⪮⊺⇮1429)⊹∫⫚⊺⇮5146⪟⇏⊺⇮4506∇⊂⋱⊺⇮1220⨂≜⊺⇮2069)=NaN","reverse_text":"NaN=(⊺⇮7948⊮⊟↴⊺⇮3155∳⫺(⊺⇮2842⫘⊺⇮5634))⪬(⇖⫷⫕(⊺⇮1171⫢⨠⊺⇮2312))↬((⊺⇮3039⫔⩽⩺⊺⇮2437)⇴(⊺⇮2274⫲≸⪮⊺⇮1429)⊹∫⫚⊺⇮5146⪟⇏⊺⇮4506∇⊂⋱⊺⇮1220⨂≜⊺⇮2069)","cot":[{"info":"⊺⇮7948⊮⊟↴⊺⇮3155=⊺⇮0","layer":3},{"info":"⊺⇮2842⫘⊺⇮5634=⊺⇮3346597","layer":3},{"info":"⊺⇮0∳⫺⊺⇮3346597=⊺⇮-6693132","layer":2},{"info":"⊺⇮1171⫢⨠⊺⇮2312=⊺⇮160","layer":3},{"info":"⇖⫷⫕⊺⇮160=⊺⇮2822","layer":2},{"info":"⊺⇮-6693132⪬⊺⇮2822=⊺⇮1234","layer":1},{"info":"⊺⇮3039⫔⩽⩺⊺⇮2437=NaN","layer":3},{"info":"⊺⇮2274⫲≸⪮⊺⇮1429=⊺⇮2274","layer":3},{"info":"NaN⇴⊺⇮2274=NaN","layer":2},{"info":"⊺⇮5146⪟⇏⊺⇮4506=⊺⇮-1","layer":3},{"info":"⊺⇮1220⨂≜⊺⇮2069=NaN","layer":3},{"info":"⊺⇮-1∇⊂⋱NaN=NaN","layer":2},{"info":"NaN⊹∫⫚NaN=NaN","layer":1},{"info":"⊺⇮1234↬NaN=NaN","layer":0}]}
{"id":500,"expression_no_base_symbol":"(($1616$⊦⊿)⪝($2089$⨔≚≋$3355$)⨉)⊉↱≁(($1000$⋭≵$1058$)∼(⇜⊴$2080$))∴($1379$⨽∌$1059$⪒$4136$⫳≱↱$1020$)","expression":"((⊺⇮1616⊦⊿)⪝(⊺⇮2089⨔≚≋⊺⇮3355)⨉)⊉↱≁((⊺⇮1000⋭≵⊺⇮1058)∼(⇜⊴⊺⇮2080))∴(⊺⇮1379⨽∌⊺⇮1059⪒⊺⇮4136⫳≱↱⊺⇮1020)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9710,"operation_count":12,"complexity_ratio":809.1666666666666,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1616,"base":10}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2089,"base":10},"right_expr":{"type":"numeric_atoms","value":3355,"base":10}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1000,"base":10},"right_expr":{"type":"numeric_atoms","value":1058,"base":10}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2080,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1379,"base":10},"right_expr":{"type":"numeric_atoms","value":1059,"base":10}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4136,"base":10},"right_expr":{"type":"numeric_atoms","value":1020,"base":10}}}}},"used_operators":["w2P8NbNXyL","aMUSaJuDRU","wicAB68Tmb","14qkJME0vr","Z57zeUYC9z","hrf7POJlIJ","DyGG3AbaNP","jBncVCNhdl","XwDhCwWbUn","f6k1SAg4EE","9samAPKr6k","ZvLB05nZmT"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1616","layer":4},{"info":"compute unary expreesion, input=1616, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4927","layer":3},{"info":"number node, value=2089","layer":4},{"info":"number node, value=3355","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=3355, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-4927, right_input=9872, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-8615","layer":2},{"info":"compute unary expreesion, input=-8615, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=19558","layer":1},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1058, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=4965","layer":3},{"info":"number node, value=2080","layer":4},{"info":"compute unary expreesion, input=2080, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-477166","layer":3},{"info":"compute binary expreesion, left_input=4965, right_input=-477166, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1379","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=1059, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=4136","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=4136, right_input=1020, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-204, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1616⊦⊿)⪝(⊺⇮2089⨔≚≋⊺⇮3355)⨉)⊉↱≁((⊺⇮1000⋭≵⊺⇮1058)∼(⇜⊴⊺⇮2080))∴(⊺⇮1379⨽∌⊺⇮1059⪒⊺⇮4136⫳≱↱⊺⇮1020)=NaN","reverse_text":"NaN=((⊺⇮1616⊦⊿)⪝(⊺⇮2089⨔≚≋⊺⇮3355)⨉)⊉↱≁((⊺⇮1000⋭≵⊺⇮1058)∼(⇜⊴⊺⇮2080))∴(⊺⇮1379⨽∌⊺⇮1059⪒⊺⇮4136⫳≱↱⊺⇮1020)","cot":[{"info":"⊺⇮1616⊦⊿=⊺⇮-4927","layer":3},{"info":"⊺⇮2089⨔≚≋⊺⇮3355=⊺⇮9872","layer":3},{"info":"⊺⇮-4927⪝⊺⇮9872=⊺⇮-8615","layer":2},{"info":"⊺⇮-8615⨉=⊺⇮19558","layer":1},{"info":"⊺⇮1000⋭≵⊺⇮1058=⊺⇮4965","layer":3},{"info":"⇜⊴⊺⇮2080=⊺⇮-477166","layer":3},{"info":"⊺⇮4965∼⊺⇮-477166=NaN","layer":2},{"info":"⊺⇮1379⨽∌⊺⇮1059=⊺⇮0","layer":3},{"info":"⊺⇮4136⫳≱↱⊺⇮1020=⊺⇮-204","layer":3},{"info":"⊺⇮0⪒⊺⇮-204=⊺⇮204","layer":2},{"info":"NaN∴⊺⇮204=NaN","layer":1},{"info":"⊺⇮19558⊉↱≁NaN=NaN","layer":0}]}
{"id":501,"expression_no_base_symbol":"(⊿(⨮↦↱$1198$)⫔⩽⩺(∓⪦$5454$))⇞","expression":"(⊿(⨮↦↱⊺⇮1198)⫔⩽⩺(∓⪦⊺⇮5454))⇞","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":845,"operation_count":5,"complexity_ratio":169.0,"tree":{"type":"unary","operator":"⇞","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1198,"base":10}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":5454,"base":10}}}}},"used_operators":["5JYyxRJd4f","DO4fhlbJSI","i9eR4S00cU","sYcpBQ0cFf","D309nIvmXG"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","Tw270M8GLb","fu6greOZ01","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":4},{"info":"compute unary expreesion, input=1198, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-1479546","layer":3},{"info":"number node, value=5454","layer":4},{"info":"compute unary expreesion, input=5454, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=5046","layer":3},{"info":"compute binary expreesion, left_input=-1479546, right_input=5046, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊿(⨮↦↱⊺⇮1198)⫔⩽⩺(∓⪦⊺⇮5454))⇞=NaN","reverse_text":"NaN=(⊿(⨮↦↱⊺⇮1198)⫔⩽⩺(∓⪦⊺⇮5454))⇞","cot":[{"info":"⨮↦↱⊺⇮1198=⊺⇮-1479546","layer":3},{"info":"∓⪦⊺⇮5454=⊺⇮5046","layer":3},{"info":"⊺⇮-1479546⫔⩽⩺⊺⇮5046=NaN","layer":2},{"info":"⊿NaN=NaN","layer":1},{"info":"NaN⇞=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"⋗⩬⋾($5778$⩚⊴⇥$1734$⪉⨛(↡$1395$))∛$3655$≴⪞⇿$5707$⪚$3261$↞⋁$7750$","expression":"⋗⩬⋾(⊺⇮5778⩚⊴⇥⊺⇮1734⪉⨛(↡⊺⇮1395))∛⊺⇮3655≴⪞⇿⊺⇮5707⪚⊺⇮3261↞⋁⊺⇮7750","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3708,"operation_count":8,"complexity_ratio":463.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5778,"base":10},"right_expr":{"type":"numeric_atoms","value":1734,"base":10}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1395,"base":10}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3655,"base":10},"right_expr":{"type":"numeric_atoms","value":5707,"base":10}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3261,"base":10},"right_expr":{"type":"numeric_atoms","value":7750,"base":10}}}}},"used_operators":["DpFCA1CohY","w2537kitQq","EWw2JM7wp4","NTOWxs364D","MXaNJeIAZ3","HrjLwUk87U","lvlrscuwVU","RqrPlJkxDo"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"⊺⇮-201","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5778","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=5778, right_input=1734, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7633","layer":3},{"info":"number node, value=1395","layer":4},{"info":"compute unary expreesion, input=1395, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=12555","layer":3},{"info":"compute binary expreesion, left_input=-7633, right_input=12555, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-60349","layer":2},{"info":"number node, value=3655","layer":4},{"info":"number node, value=5707","layer":4},{"info":"compute binary expreesion, left_input=3655, right_input=5707, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=22876082","layer":3},{"info":"number node, value=3261","layer":4},{"info":"number node, value=7750","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=7750, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=22876082, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-60349, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-201","layer":0}],"base":10,"result_base":10,"text":"⋗⩬⋾(⊺⇮5778⩚⊴⇥⊺⇮1734⪉⨛(↡⊺⇮1395))∛⊺⇮3655≴⪞⇿⊺⇮5707⪚⊺⇮3261↞⋁⊺⇮7750=⊺⇮-201","reverse_text":"⊺⇮-201=⋗⩬⋾(⊺⇮5778⩚⊴⇥⊺⇮1734⪉⨛(↡⊺⇮1395))∛⊺⇮3655≴⪞⇿⊺⇮5707⪚⊺⇮3261↞⋁⊺⇮7750","cot":[{"info":"⊺⇮5778⩚⊴⇥⊺⇮1734=⊺⇮-7633","layer":3},{"info":"↡⊺⇮1395=⊺⇮12555","layer":3},{"info":"⊺⇮-7633⪉⨛⊺⇮12555=⊺⇮-60349","layer":2},{"info":"⊺⇮3655≴⪞⇿⊺⇮5707=⊺⇮22876082","layer":3},{"info":"⊺⇮3261↞⋁⊺⇮7750=NaN","layer":3},{"info":"⊺⇮22876082⪚NaN=NaN","layer":2},{"info":"⊺⇮-60349∛NaN=⊺⇮67","layer":1},{"info":"⋗⩬⋾⊺⇮67=⊺⇮-201","layer":0}]}
{"id":503,"expression_no_base_symbol":"(((∮$1488$)⫠↝⫳)⪕(($4842$⪨⊡$1581$)∧))⪝(⩩(($1997$∷$2084$)⪟⇏($4993$⫣⪄⊒$8784$)))","expression":"(((∮⊺⇮1488)⫠↝⫳)⪕((⊺⇮4842⪨⊡⊺⇮1581)∧))⪝(⩩((⊺⇮1997∷⊺⇮2084)⪟⇏(⊺⇮4993⫣⪄⊒⊺⇮8784)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1772,"operation_count":10,"complexity_ratio":177.2,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1488,"base":10}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4842,"base":10},"right_expr":{"type":"numeric_atoms","value":1581,"base":10}}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1997,"base":10},"right_expr":{"type":"numeric_atoms","value":2084,"base":10}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4993,"base":10},"right_expr":{"type":"numeric_atoms","value":8784,"base":10}}}}},"used_operators":["wicAB68Tmb","umQnsF7QlU","8n5YIzOsVS","CqXKPLVYql","z63VuFQld9","kuIXHzHcAH","kMhfGuqI2H","GODebY97qR","D3AQDKkPcf","RabNbG55vr"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","7j4O788W3g","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⊺⇮-25211","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1488","layer":4},{"info":"compute unary expreesion, input=1488, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=2767","layer":2},{"info":"number node, value=4842","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=4842, right_input=1581, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2767, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6435","layer":1},{"info":"number node, value=1997","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=2084, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2084","layer":3},{"info":"number node, value=4993","layer":4},{"info":"number node, value=8784","layer":4},{"info":"compute binary expreesion, left_input=4993, right_input=8784, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-43230","layer":3},{"info":"compute binary expreesion, left_input=2084, right_input=-43230, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=232","layer":1},{"info":"compute binary expreesion, left_input=6435, right_input=232, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-25211","layer":0}],"base":10,"result_base":10,"text":"(((∮⊺⇮1488)⫠↝⫳)⪕((⊺⇮4842⪨⊡⊺⇮1581)∧))⪝(⩩((⊺⇮1997∷⊺⇮2084)⪟⇏(⊺⇮4993⫣⪄⊒⊺⇮8784)))=⊺⇮-25211","reverse_text":"⊺⇮-25211=(((∮⊺⇮1488)⫠↝⫳)⪕((⊺⇮4842⪨⊡⊺⇮1581)∧))⪝(⩩((⊺⇮1997∷⊺⇮2084)⪟⇏(⊺⇮4993⫣⪄⊒⊺⇮8784)))","cot":[{"info":"∮⊺⇮1488=⊺⇮67","layer":3},{"info":"⊺⇮67⫠↝⫳=⊺⇮2767","layer":2},{"info":"⊺⇮4842⪨⊡⊺⇮1581=⊺⇮0","layer":3},{"info":"⊺⇮0∧=⊺⇮0","layer":2},{"info":"⊺⇮2767⪕⊺⇮0=⊺⇮6435","layer":1},{"info":"⊺⇮1997∷⊺⇮2084=⊺⇮2084","layer":3},{"info":"⊺⇮4993⫣⪄⊒⊺⇮8784=⊺⇮-43230","layer":3},{"info":"⊺⇮2084⪟⇏⊺⇮-43230=⊺⇮-1","layer":2},{"info":"⩩⊺⇮-1=⊺⇮232","layer":1},{"info":"⊺⇮6435⪝⊺⇮232=⊺⇮-25211","layer":0}]}
{"id":504,"expression_no_base_symbol":"⇤←(($1855$↠)∙⊟($1306$∕⩚$1351$)⫚↹⊑$1617$⨚$3187$⫒⫫($7426$⫸⇳$6568$))","expression":"⇤←((⊺⇮1855↠)∙⊟(⊺⇮1306∕⩚⊺⇮1351)⫚↹⊑⊺⇮1617⨚⊺⇮3187⫒⫫(⊺⇮7426⫸⇳⊺⇮6568))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3281,"operation_count":8,"complexity_ratio":410.125,"tree":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1855,"base":10}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1306,"base":10},"right_expr":{"type":"numeric_atoms","value":1351,"base":10}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1617,"base":10},"right_expr":{"type":"numeric_atoms","value":3187,"base":10}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":7426,"base":10},"right_expr":{"type":"numeric_atoms","value":6568,"base":10}}}}},"used_operators":["jfAgQ2OQeM","dfKe02y8D2","SxTAKzQCrw","LBdsKIvxzf","z9ffQ9n5Zr","6Ko8hGgeMq","nREPSIbpBE","gx7XJ7hdpj"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","BjRHVeLaeN","12rbrZMWeM","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⊺⇮299","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":4},{"info":"compute unary expreesion, input=1855, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=1351, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1309","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-1309, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=21555","layer":2},{"info":"number node, value=1617","layer":4},{"info":"number node, value=3187","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=3187, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-8580","layer":3},{"info":"number node, value=7426","layer":4},{"info":"number node, value=6568","layer":4},{"info":"compute binary expreesion, left_input=7426, right_input=6568, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8580, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=42936","layer":2},{"info":"compute binary expreesion, left_input=21555, right_input=42936, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=299","layer":0}],"base":10,"result_base":10,"text":"⇤←((⊺⇮1855↠)∙⊟(⊺⇮1306∕⩚⊺⇮1351)⫚↹⊑⊺⇮1617⨚⊺⇮3187⫒⫫(⊺⇮7426⫸⇳⊺⇮6568))=⊺⇮299","reverse_text":"⊺⇮299=⇤←((⊺⇮1855↠)∙⊟(⊺⇮1306∕⩚⊺⇮1351)⫚↹⊑⊺⇮1617⨚⊺⇮3187⫒⫫(⊺⇮7426⫸⇳⊺⇮6568))","cot":[{"info":"⊺⇮1855↠=⊺⇮-447","layer":3},{"info":"⊺⇮1306∕⩚⊺⇮1351=⊺⇮-1309","layer":3},{"info":"⊺⇮-447∙⊟⊺⇮-1309=⊺⇮21555","layer":2},{"info":"⊺⇮1617⨚⊺⇮3187=⊺⇮-8580","layer":3},{"info":"⊺⇮7426⫸⇳⊺⇮6568=⊺⇮0","layer":3},{"info":"⊺⇮-8580⫒⫫⊺⇮0=⊺⇮42936","layer":2},{"info":"⊺⇮21555⫚↹⊑⊺⇮42936=⊺⇮-447","layer":1},{"info":"⇤←⊺⇮-447=⊺⇮299","layer":0}]}
{"id":505,"expression_no_base_symbol":"(≻⋜($1331$⩌⋺$2212$⨚$5106$⪬$1738$))⫁((⋠∜($7946$⨚$2709$))⪒(⨑⩽⪐(⇾⩊⇾$6246$)))","expression":"(≻⋜(⊺⇮1331⩌⋺⊺⇮2212⨚⊺⇮5106⪬⊺⇮1738))⫁((⋠∜(⊺⇮7946⨚⊺⇮2709))⪒(⨑⩽⪐(⇾⩊⇾⊺⇮6246)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":516449,"operation_count":10,"complexity_ratio":51644.9,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1331,"base":10},"right_expr":{"type":"numeric_atoms","value":2212,"base":10}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5106,"base":10},"right_expr":{"type":"numeric_atoms","value":1738,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":7946,"base":10},"right_expr":{"type":"numeric_atoms","value":2709,"base":10}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":6246,"base":10}}}}},"used_operators":["0ajvFaJAv0","3tj9sqzovi","nREPSIbpBE","g7Hmc5v1ko","Ez1Nq5fNfI","f6k1SAg4EE","ZJpFhNJr3x","AF7qkfDlqP","bx9Z9DAK5y"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":4},{"info":"number node, value=2212","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=2212, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3664","layer":3},{"info":"number node, value=5106","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=5106, right_input=1738, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-3664, right_input=1234, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-11330","layer":2},{"info":"compute unary expreesion, input=-11330, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=7946","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=7946, right_input=2709, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=5990","layer":3},{"info":"compute unary expreesion, input=5990, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=26244","layer":2},{"info":"number node, value=6246","layer":4},{"info":"compute unary expreesion, input=6246, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-62700","layer":3},{"info":"compute unary expreesion, input=-62700, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=126189","layer":2},{"info":"compute binary expreesion, left_input=26244, right_input=126189, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-152433","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-152433, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"(≻⋜(⊺⇮1331⩌⋺⊺⇮2212⨚⊺⇮5106⪬⊺⇮1738))⫁((⋠∜(⊺⇮7946⨚⊺⇮2709))⪒(⨑⩽⪐(⇾⩊⇾⊺⇮6246)))=⊺⇮160","reverse_text":"⊺⇮160=(≻⋜(⊺⇮1331⩌⋺⊺⇮2212⨚⊺⇮5106⪬⊺⇮1738))⫁((⋠∜(⊺⇮7946⨚⊺⇮2709))⪒(⨑⩽⪐(⇾⩊⇾⊺⇮6246)))","cot":[{"info":"⊺⇮1331⩌⋺⊺⇮2212=⊺⇮-3664","layer":3},{"info":"⊺⇮5106⪬⊺⇮1738=⊺⇮1234","layer":3},{"info":"⊺⇮-3664⨚⊺⇮1234=⊺⇮-11330","layer":2},{"info":"≻⋜⊺⇮-11330=NaN","layer":1},{"info":"⊺⇮7946⨚⊺⇮2709=⊺⇮5990","layer":3},{"info":"⋠∜⊺⇮5990=⊺⇮26244","layer":2},{"info":"⇾⩊⇾⊺⇮6246=⊺⇮-62700","layer":3},{"info":"⨑⩽⪐⊺⇮-62700=⊺⇮126189","layer":2},{"info":"⊺⇮26244⪒⊺⇮126189=⊺⇮-152433","layer":1},{"info":"NaN⫁⊺⇮-152433=⊺⇮160","layer":0}]}
{"id":506,"expression_no_base_symbol":"(⊖$4158$≳⇉$3698$⨐⩸⫘$1334$⩍⋽⫝̸$7527$)⇍⊗($2448$∥⊢⊲$2408$⫚↹⊑$3163$≨$2080$)⫯⪬∳(($3238$↰)⨶)","expression":"(⊖⊺⇮4158≳⇉⊺⇮3698⨐⩸⫘⊺⇮1334⩍⋽⫝̸⊺⇮7527)⇍⊗(⊺⇮2448∥⊢⊲⊺⇮2408⫚↹⊑⊺⇮3163≨⊺⇮2080)⫯⪬∳((⊺⇮3238↰)⨶)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":133442393,"operation_count":11,"complexity_ratio":12131126.636363637,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4158,"base":10},"right_expr":{"type":"numeric_atoms","value":3698,"base":10}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1334,"base":10},"right_expr":{"type":"numeric_atoms","value":7527,"base":10}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2448,"base":10},"right_expr":{"type":"numeric_atoms","value":2408,"base":10}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3163,"base":10},"right_expr":{"type":"numeric_atoms","value":2080,"base":10}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":3238,"base":10}}}}},"used_operators":["5uvYHDjeKN","U6pG0PXrV3","fu6greOZ01","V0kx6qeWkN","BiWNJpBvwn","d7ASUq0ydm","dfKe02y8D2","v1UQAVDJRr","0KMCeP1Jsh","rFxw8gIMmB","bl5wxAcryP"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","3ViojmjbAp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Ph9nP6C5qx","xUOZtlo3hN","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","EBcxylXtPf","rGHVDoGpnC","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","f6k1SAg4EE","Qy55tPpLXF","nCS4ZIUYfx","Z2TMIBDE3Q"],"result":"⊺⇮-244","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4158","layer":4},{"info":"number node, value=3698","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=3698, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=7527","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=7527, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=6581","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6581, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=nan","layer":1},{"info":"number node, value=2448","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=2448, right_input=2408, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=3163","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=3163, right_input=2080, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-29154","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-29154, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=3238","layer":4},{"info":"compute unary expreesion, input=3238, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=3137","layer":3},{"info":"compute unary expreesion, input=3137, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=4528","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=4528, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":10,"result_base":10,"text":"(⊖⊺⇮4158≳⇉⊺⇮3698⨐⩸⫘⊺⇮1334⩍⋽⫝̸⊺⇮7527)⇍⊗(⊺⇮2448∥⊢⊲⊺⇮2408⫚↹⊑⊺⇮3163≨⊺⇮2080)⫯⪬∳((⊺⇮3238↰)⨶)=⊺⇮-244","reverse_text":"⊺⇮-244=(⊖⊺⇮4158≳⇉⊺⇮3698⨐⩸⫘⊺⇮1334⩍⋽⫝̸⊺⇮7527)⇍⊗(⊺⇮2448∥⊢⊲⊺⇮2408⫚↹⊑⊺⇮3163≨⊺⇮2080)⫯⪬∳((⊺⇮3238↰)⨶)","cot":[{"info":"⊺⇮4158≳⇉⊺⇮3698=NaN","layer":3},{"info":"⊺⇮1334⩍⋽⫝̸⊺⇮7527=⊺⇮6581","layer":3},{"info":"NaN⨐⩸⫘⊺⇮6581=NaN","layer":2},{"info":"⊖NaN=NaN","layer":1},{"info":"⊺⇮2448∥⊢⊲⊺⇮2408=NaN","layer":3},{"info":"⊺⇮3163≨⊺⇮2080=⊺⇮-29154","layer":3},{"info":"NaN⫚↹⊑⊺⇮-29154=⊺⇮-447","layer":2},{"info":"⊺⇮3238↰=⊺⇮3137","layer":3},{"info":"⊺⇮3137⨶=⊺⇮4528","layer":2},{"info":"⊺⇮-447⫯⪬∳⊺⇮4528=⊺⇮868","layer":1},{"info":"NaN⇍⊗⊺⇮868=⊺⇮-244","layer":0}]}
{"id":507,"expression_no_base_symbol":"((($1349$≬⋮$4150$)∝($1594$∩⋅))⋾⨃∁(($2397$⨒$2689$)⪍↜⋙($1420$⫸⊐$1611$)))↳∿⪆((≪$2653$)⨎(≱⇩⩕$5460$))⩼⇪↪(⊤⊝(⪭⩑⪱$3854$))","expression":"(((⊺⇮1349≬⋮⊺⇮4150)∝(⊺⇮1594∩⋅))⋾⨃∁((⊺⇮2397⨒⊺⇮2689)⪍↜⋙(⊺⇮1420⫸⊐⊺⇮1611)))↳∿⪆((≪⊺⇮2653)⨎(≱⇩⩕⊺⇮5460))⩼⇪↪(⊤⊝(⪭⩑⪱⊺⇮3854))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2472829,"operation_count":14,"complexity_ratio":176630.64285714287,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1349,"base":10},"right_expr":{"type":"numeric_atoms","value":4150,"base":10}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1594,"base":10}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2397,"base":10},"right_expr":{"type":"numeric_atoms","value":2689,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1420,"base":10},"right_expr":{"type":"numeric_atoms","value":1611,"base":10}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":2653,"base":10}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":5460,"base":10}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3854,"base":10}}}}},"used_operators":["Cw4SuJJGHO","212REbPD9h","cTDWOvIxvz","kbkesczE7y","2MzE1hQ0cz","L05ObWFQCd","y75s1iXyHd","mqXw5SEYmG","ocnLzx9CaJ","rJVOvQCfKK","Qtd6bqUJcN","3DZMoQKiUl","rXAclfmB4M","SIgE0bArFf"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","7j4O788W3g","W4YGzv6Whe","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Qy55tPpLXF","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","sdazOOVcIp","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=4150","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=4150, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1473","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-1473, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=873","layer":2},{"info":"number node, value=2397","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=2689, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-14010","layer":3},{"info":"number node, value=1420","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=1611, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6319","layer":3},{"info":"compute binary expreesion, left_input=-14010, right_input=6319, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=56629","layer":2},{"info":"compute binary expreesion, left_input=873, right_input=56629, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"number node, value=2653","layer":4},{"info":"compute unary expreesion, input=2653, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=5460","layer":4},{"info":"compute unary expreesion, input=5460, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=113, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=113","layer":2},{"info":"number node, value=3854","layer":4},{"info":"compute unary expreesion, input=3854, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=16640206","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=16640206, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-116481999","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116481999, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1349≬⋮⊺⇮4150)∝(⊺⇮1594∩⋅))⋾⨃∁((⊺⇮2397⨒⊺⇮2689)⪍↜⋙(⊺⇮1420⫸⊐⊺⇮1611)))↳∿⪆((≪⊺⇮2653)⨎(≱⇩⩕⊺⇮5460))⩼⇪↪(⊤⊝(⪭⩑⪱⊺⇮3854))=NaN","reverse_text":"NaN=(((⊺⇮1349≬⋮⊺⇮4150)∝(⊺⇮1594∩⋅))⋾⨃∁((⊺⇮2397⨒⊺⇮2689)⪍↜⋙(⊺⇮1420⫸⊐⊺⇮1611)))↳∿⪆((≪⊺⇮2653)⨎(≱⇩⩕⊺⇮5460))⩼⇪↪(⊤⊝(⪭⩑⪱⊺⇮3854))","cot":[{"info":"⊺⇮1349≬⋮⊺⇮4150=⊺⇮868","layer":3},{"info":"⊺⇮1594∩⋅=⊺⇮-1473","layer":3},{"info":"⊺⇮868∝⊺⇮-1473=⊺⇮873","layer":2},{"info":"⊺⇮2397⨒⊺⇮2689=⊺⇮-14010","layer":3},{"info":"⊺⇮1420⫸⊐⊺⇮1611=⊺⇮6319","layer":3},{"info":"⊺⇮-14010⪍↜⋙⊺⇮6319=⊺⇮56629","layer":2},{"info":"⊺⇮873⋾⨃∁⊺⇮56629=NaN","layer":1},{"info":"≪⊺⇮2653=⊺⇮913","layer":3},{"info":"≱⇩⩕⊺⇮5460=⊺⇮113","layer":3},{"info":"⊺⇮913⨎⊺⇮113=⊺⇮113","layer":2},{"info":"⪭⩑⪱⊺⇮3854=⊺⇮8320752","layer":3},{"info":"⊤⊝⊺⇮8320752=⊺⇮16640206","layer":2},{"info":"⊺⇮113⩼⇪↪⊺⇮16640206=⊺⇮-116481999","layer":1},{"info":"NaN↳∿⪆⊺⇮-116481999=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"(⨰⫟⨤($2628$∛$2817$⪛⫼$1906$⨑⩅≇$2526$))≦↸((⨝⨆$1150$⩺⪪$1459$)*($1944$≎⊠⪸$2843$∲⫓$1848$⩧⪆$4640$))","expression":"(⨰⫟⨤(⊺⇮2628∛⊺⇮2817⪛⫼⊺⇮1906⨑⩅≇⊺⇮2526))≦↸((⨝⨆⊺⇮1150⩺⪪⊺⇮1459)*(⊺⇮1944≎⊠⪸⊺⇮2843∲⫓⊺⇮1848⩧⪆⊺⇮4640))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13084,"operation_count":11,"complexity_ratio":1189.4545454545455,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2628,"base":10},"right_expr":{"type":"numeric_atoms","value":2817,"base":10}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1906,"base":10},"right_expr":{"type":"numeric_atoms","value":2526,"base":10}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1150,"base":10},"right_expr":{"type":"numeric_atoms","value":1459,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1944,"base":10},"right_expr":{"type":"numeric_atoms","value":2843,"base":10}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1848,"base":10},"right_expr":{"type":"numeric_atoms","value":4640,"base":10}}}}},"used_operators":["RygbFNSyEJ","Tw270M8GLb","hyuBjUqXlG","w2537kitQq","h92wMvzauj","9HNa5Wba9A","bQ67fsrMVf","uvdQJvN4PV","i8ToyICDmI","bJkvcejdHO","Ikt5ks8PT7"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","tifHPKVTfV","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2628","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=2817, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1906","layer":4},{"info":"number node, value=2526","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=2526, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5718","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-5718, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1825","layer":2},{"info":"compute unary expreesion, input=-1825, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1150","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=1459, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":3},{"info":"compute unary expreesion, input=1914, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1705","layer":2},{"info":"number node, value=1944","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=2843, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=503023","layer":3},{"info":"number node, value=1848","layer":4},{"info":"number node, value=4640","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=4640, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4640","layer":3},{"info":"compute binary expreesion, left_input=503023, right_input=-4640, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=503023","layer":2},{"info":"compute binary expreesion, left_input=1705, right_input=503023, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=857654215","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=857654215, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨰⫟⨤(⊺⇮2628∛⊺⇮2817⪛⫼⊺⇮1906⨑⩅≇⊺⇮2526))≦↸((⨝⨆⊺⇮1150⩺⪪⊺⇮1459)*(⊺⇮1944≎⊠⪸⊺⇮2843∲⫓⊺⇮1848⩧⪆⊺⇮4640))=NaN","reverse_text":"NaN=(⨰⫟⨤(⊺⇮2628∛⊺⇮2817⪛⫼⊺⇮1906⨑⩅≇⊺⇮2526))≦↸((⨝⨆⊺⇮1150⩺⪪⊺⇮1459)*(⊺⇮1944≎⊠⪸⊺⇮2843∲⫓⊺⇮1848⩧⪆⊺⇮4640))","cot":[{"info":"⊺⇮2628∛⊺⇮2817=⊺⇮-670","layer":3},{"info":"⊺⇮1906⨑⩅≇⊺⇮2526=⊺⇮-5718","layer":3},{"info":"⊺⇮-670⪛⫼⊺⇮-5718=⊺⇮-1825","layer":2},{"info":"⨰⫟⨤⊺⇮-1825=NaN","layer":1},{"info":"⊺⇮1150⩺⪪⊺⇮1459=⊺⇮1914","layer":3},{"info":"⨝⨆⊺⇮1914=⊺⇮1705","layer":2},{"info":"⊺⇮1944≎⊠⪸⊺⇮2843=⊺⇮503023","layer":3},{"info":"⊺⇮1848⩧⪆⊺⇮4640=⊺⇮-4640","layer":3},{"info":"⊺⇮503023∲⫓⊺⇮-4640=⊺⇮503023","layer":2},{"info":"⊺⇮1705*⊺⇮503023=⊺⇮857654215","layer":1},{"info":"NaN≦↸⊺⇮857654215=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"($6544$⇣⩺⋵$5912$)⨑⩅≇($1072$→⨶⪴$2705$)⨟⋌⩍($2516$⨫⇇↔$1043$⨉)↺(($1488$≚⊃≕$2175$)↳∿⪆($3440$⇡)∠⫱($6663$⩁⩘$1285$⨒$1472$⨪↰⇹$6128$))","expression":"(⊺⇮6544⇣⩺⋵⊺⇮5912)⨑⩅≇(⊺⇮1072→⨶⪴⊺⇮2705)⨟⋌⩍(⊺⇮2516⨫⇇↔⊺⇮1043⨉)↺((⊺⇮1488≚⊃≕⊺⇮2175)↳∿⪆(⊺⇮3440⇡)∠⫱(⊺⇮6663⩁⩘⊺⇮1285⨒⊺⇮1472⨪↰⇹⊺⇮6128))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4739,"operation_count":14,"complexity_ratio":338.5,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":6544,"base":10},"right_expr":{"type":"numeric_atoms","value":5912,"base":10}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1072,"base":10},"right_expr":{"type":"numeric_atoms","value":2705,"base":10}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2516,"base":10},"right_expr":{"type":"numeric_atoms","value":1043,"base":10}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1488,"base":10},"right_expr":{"type":"numeric_atoms","value":2175,"base":10}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":3440,"base":10}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6663,"base":10},"right_expr":{"type":"numeric_atoms","value":1285,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1472,"base":10},"right_expr":{"type":"numeric_atoms","value":6128,"base":10}}}}},"used_operators":["7j4O788W3g","rGHVDoGpnC","h92wMvzauj","F4yD0voBRQ","bF6eod5Gvf","aMUSaJuDRU","LXhwmt4mBO","QvoQhV0rrE","Cw4SuJJGHO","Bmrmz2XGnR","UqFzSgLMvQ","y75s1iXyHd","gub5Cegaqo","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","8w2t5hMYqp","9FxExcQeMw","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DpFCA1CohY","IWmyXbctLI","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6544","layer":4},{"info":"number node, value=5912","layer":4},{"info":"compute binary expreesion, left_input=6544, right_input=5912, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1072","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=2705, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8115","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-8115, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=5448","layer":2},{"info":"number node, value=2516","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=1043, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=3382","layer":2},{"info":"compute binary expreesion, left_input=5448, right_input=3382, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1488","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=2175, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=3440","layer":4},{"info":"compute unary expreesion, input=3440, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-2917, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=6663","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=6663, right_input=1285, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6088","layer":3},{"info":"number node, value=1472","layer":4},{"info":"number node, value=6128","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=6128, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1472","layer":3},{"info":"compute binary expreesion, left_input=6088, right_input=1472, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-36156","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-36156, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6544⇣⩺⋵⊺⇮5912)⨑⩅≇(⊺⇮1072→⨶⪴⊺⇮2705)⨟⋌⩍(⊺⇮2516⨫⇇↔⊺⇮1043⨉)↺((⊺⇮1488≚⊃≕⊺⇮2175)↳∿⪆(⊺⇮3440⇡)∠⫱(⊺⇮6663⩁⩘⊺⇮1285⨒⊺⇮1472⨪↰⇹⊺⇮6128))=NaN","reverse_text":"NaN=(⊺⇮6544⇣⩺⋵⊺⇮5912)⨑⩅≇(⊺⇮1072→⨶⪴⊺⇮2705)⨟⋌⩍(⊺⇮2516⨫⇇↔⊺⇮1043⨉)↺((⊺⇮1488≚⊃≕⊺⇮2175)↳∿⪆(⊺⇮3440⇡)∠⫱(⊺⇮6663⩁⩘⊺⇮1285⨒⊺⇮1472⨪↰⇹⊺⇮6128))","cot":[{"info":"⊺⇮6544⇣⩺⋵⊺⇮5912=⊺⇮-260","layer":3},{"info":"⊺⇮1072→⨶⪴⊺⇮2705=⊺⇮-8115","layer":3},{"info":"⊺⇮-260⨑⩅≇⊺⇮-8115=⊺⇮5448","layer":2},{"info":"⊺⇮2516⨫⇇↔⊺⇮1043=⊺⇮-527","layer":3},{"info":"⊺⇮-527⨉=⊺⇮3382","layer":2},{"info":"⊺⇮5448⨟⋌⩍⊺⇮3382=NaN","layer":1},{"info":"⊺⇮1488≚⊃≕⊺⇮2175=⊺⇮67","layer":3},{"info":"⊺⇮3440⇡=⊺⇮-2917","layer":3},{"info":"⊺⇮67↳∿⪆⊺⇮-2917=NaN","layer":2},{"info":"⊺⇮6663⩁⩘⊺⇮1285=⊺⇮6088","layer":3},{"info":"⊺⇮1472⨪↰⇹⊺⇮6128=⊺⇮1472","layer":3},{"info":"⊺⇮6088⨒⊺⇮1472=⊺⇮-36156","layer":2},{"info":"NaN∠⫱⊺⇮-36156=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"(⇋⊎⋝(($3739$⊱⇼⊻$1779$)↠))∪⫐(($8684$⫢⨠$1090$)≒∊($1288$⋖∅⋲)⪁((⋎⨆$1951$)⊪))","expression":"(⇋⊎⋝((⊺⇮3739⊱⇼⊻⊺⇮1779)↠))∪⫐((⊺⇮8684⫢⨠⊺⇮1090)≒∊(⊺⇮1288⋖∅⋲)⪁((⋎⨆⊺⇮1951)⊪))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1449,"operation_count":10,"complexity_ratio":144.9,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3739,"base":10},"right_expr":{"type":"numeric_atoms","value":1779,"base":10}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":8684,"base":10},"right_expr":{"type":"numeric_atoms","value":1090,"base":10}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":1288,"base":10}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1951,"base":10}}}}},"used_operators":["7YooWSwCyH","CzM2PEoXns","LBdsKIvxzf","FyVja0WsTP","I7sXao9hZE","5KTvxBwnZo","xlXykHWxX1","L95AwlJzhO","zVYPLywUTj","E64sFOc4tB"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","dWAJyo7jo9","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3739","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=3739, right_input=1779, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=8684","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=8684, right_input=1090, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-384231, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=324","layer":2},{"info":"number node, value=1951","layer":4},{"info":"compute unary expreesion, input=1951, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=324, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇋⊎⋝((⊺⇮3739⊱⇼⊻⊺⇮1779)↠))∪⫐((⊺⇮8684⫢⨠⊺⇮1090)≒∊(⊺⇮1288⋖∅⋲)⪁((⋎⨆⊺⇮1951)⊪))=NaN","reverse_text":"NaN=(⇋⊎⋝((⊺⇮3739⊱⇼⊻⊺⇮1779)↠))∪⫐((⊺⇮8684⫢⨠⊺⇮1090)≒∊(⊺⇮1288⋖∅⋲)⪁((⋎⨆⊺⇮1951)⊪))","cot":[{"info":"⊺⇮3739⊱⇼⊻⊺⇮1779=⊺⇮434","layer":3},{"info":"⊺⇮434↠=⊺⇮-447","layer":2},{"info":"⇋⊎⋝⊺⇮-447=NaN","layer":1},{"info":"⊺⇮8684⫢⨠⊺⇮1090=⊺⇮160","layer":3},{"info":"⊺⇮1288⋖∅⋲=⊺⇮-384231","layer":3},{"info":"⊺⇮160≒∊⊺⇮-384231=⊺⇮324","layer":2},{"info":"⋎⨆⊺⇮1951=⊺⇮0","layer":3},{"info":"⊺⇮0⊪=⊺⇮0","layer":2},{"info":"⊺⇮324⪁⊺⇮0=NaN","layer":1},{"info":"NaN∪⫐NaN=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"((⫵↿$2160$)⫡⨏($2062$↓⨍⋜))∺≝⩲($7019$⪡$2306$∪⫐$1129$⫢⨠$2456$)⫰⋱(($1023$⇚⪠)⩘⨬⇊)⪬((⇜⊴$5300$)⩘)","expression":"((⫵↿⊺⇮2160)⫡⨏(⊺⇮2062↓⨍⋜))∺≝⩲(⊺⇮7019⪡⊺⇮2306∪⫐⊺⇮1129⫢⨠⊺⇮2456)⫰⋱((⊺⇮1023⇚⪠)⩘⨬⇊)⪬((⇜⊴⊺⇮5300)⩘)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":97797,"operation_count":13,"complexity_ratio":7522.846153846154,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2160,"base":10}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":2062,"base":10}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":7019,"base":10},"right_expr":{"type":"numeric_atoms","value":2306,"base":10}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1129,"base":10},"right_expr":{"type":"numeric_atoms","value":2456,"base":10}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1023,"base":10}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":5300,"base":10}}}}},"used_operators":["6o9Blt3TJ6","KPf6cnQVty","QMFrweE19q","ivGwdmUAux","3DVzLFNsE9","7YooWSwCyH","oraRL2iQuh","xlXykHWxX1","Ez1Nq5fNfI","XXmTpEpWTW","Loh9y4A90B","wvHyciQT5X","XwDhCwWbUn"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rJVOvQCfKK","2DDjHMKMc0","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","9ICcGScMcE","dfKe02y8D2","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"⊺⇮-127","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2160","layer":4},{"info":"compute unary expreesion, input=2160, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=2062","layer":4},{"info":"compute unary expreesion, input=2062, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=6590, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14648","layer":2},{"info":"number node, value=7019","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=7019, right_input=2306, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=2456, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=160, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=107","layer":2},{"info":"compute binary expreesion, left_input=14648, right_input=107, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=2093058","layer":3},{"info":"compute unary expreesion, input=2093058, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"number node, value=5300","layer":4},{"info":"compute unary expreesion, input=5300, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1237086","layer":3},{"info":"compute unary expreesion, input=-1237086, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1234, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-127","layer":0}],"base":10,"result_base":10,"text":"((⫵↿⊺⇮2160)⫡⨏(⊺⇮2062↓⨍⋜))∺≝⩲(⊺⇮7019⪡⊺⇮2306∪⫐⊺⇮1129⫢⨠⊺⇮2456)⫰⋱((⊺⇮1023⇚⪠)⩘⨬⇊)⪬((⇜⊴⊺⇮5300)⩘)=⊺⇮-127","reverse_text":"⊺⇮-127=((⫵↿⊺⇮2160)⫡⨏(⊺⇮2062↓⨍⋜))∺≝⩲(⊺⇮7019⪡⊺⇮2306∪⫐⊺⇮1129⫢⨠⊺⇮2456)⫰⋱((⊺⇮1023⇚⪠)⩘⨬⇊)⪬((⇜⊴⊺⇮5300)⩘)","cot":[{"info":"⫵↿⊺⇮2160=⊺⇮137","layer":3},{"info":"⊺⇮2062↓⨍⋜=⊺⇮6590","layer":3},{"info":"⊺⇮137⫡⨏⊺⇮6590=⊺⇮14648","layer":2},{"info":"⊺⇮7019⪡⊺⇮2306=⊺⇮107","layer":3},{"info":"⊺⇮1129⫢⨠⊺⇮2456=⊺⇮160","layer":3},{"info":"⊺⇮107∪⫐⊺⇮160=⊺⇮107","layer":2},{"info":"⊺⇮14648∺≝⩲⊺⇮107=⊺⇮160","layer":1},{"info":"⊺⇮1023⇚⪠=⊺⇮2093058","layer":3},{"info":"⊺⇮2093058⩘⨬⇊=NaN","layer":2},{"info":"⇜⊴⊺⇮5300=⊺⇮-1237086","layer":3},{"info":"⊺⇮-1237086⩘=⊺⇮67","layer":2},{"info":"NaN⪬⊺⇮67=⊺⇮1234","layer":1},{"info":"⊺⇮160⫰⋱⊺⇮1234=⊺⇮-127","layer":0}]}
{"id":512,"expression_no_base_symbol":"($3551$≚⊃≕$2241$⨪↰⇹($1535$⩚⊴⇥$1108$)⫃⨇($1097$→⨶⪴$1980$⫩))⇴∐(∐⩳⋚(≪($4461$≬⇓$2467$)))","expression":"(⊺⇮3551≚⊃≕⊺⇮2241⨪↰⇹(⊺⇮1535⩚⊴⇥⊺⇮1108)⫃⨇(⊺⇮1097→⨶⪴⊺⇮1980⫩))⇴∐(∐⩳⋚(≪(⊺⇮4461≬⇓⊺⇮2467)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6287,"operation_count":10,"complexity_ratio":628.7,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3551,"base":10},"right_expr":{"type":"numeric_atoms","value":2241,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1535,"base":10},"right_expr":{"type":"numeric_atoms","value":1108,"base":10}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1097,"base":10},"right_expr":{"type":"numeric_atoms","value":1980,"base":10}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4461,"base":10},"right_expr":{"type":"numeric_atoms","value":2467,"base":10}}}}},"used_operators":["HnzytWxmAO","09Ly4LVMIf","tmPS8pqC7x","Bmrmz2XGnR","NTOWxs364D","6aG7x05OhS","bF6eod5Gvf","SL6IHkK8vl","Qtd6bqUJcN","jWTQ2TZYIH"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","8w2t5hMYqp","9FxExcQeMw","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3551","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=3551, right_input=2241, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1535","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=1108, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2764","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-2764, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=67","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=1980","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1980, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5940","layer":3},{"info":"compute unary expreesion, input=-5940, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=4461","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=4461, right_input=2467, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"compute unary expreesion, input=913, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=119480","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=119480, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3551≚⊃≕⊺⇮2241⨪↰⇹(⊺⇮1535⩚⊴⇥⊺⇮1108)⫃⨇(⊺⇮1097→⨶⪴⊺⇮1980⫩))⇴∐(∐⩳⋚(≪(⊺⇮4461≬⇓⊺⇮2467)))=NaN","reverse_text":"NaN=(⊺⇮3551≚⊃≕⊺⇮2241⨪↰⇹(⊺⇮1535⩚⊴⇥⊺⇮1108)⫃⨇(⊺⇮1097→⨶⪴⊺⇮1980⫩))⇴∐(∐⩳⋚(≪(⊺⇮4461≬⇓⊺⇮2467)))","cot":[{"info":"⊺⇮3551≚⊃≕⊺⇮2241=⊺⇮67","layer":3},{"info":"⊺⇮1535⩚⊴⇥⊺⇮1108=⊺⇮-2764","layer":3},{"info":"⊺⇮67⨪↰⇹⊺⇮-2764=⊺⇮67","layer":2},{"info":"⊺⇮1097→⨶⪴⊺⇮1980=⊺⇮-5940","layer":3},{"info":"⊺⇮-5940⫩=NaN","layer":2},{"info":"⊺⇮67⫃⨇NaN=NaN","layer":1},{"info":"⊺⇮4461≬⇓⊺⇮2467=⊺⇮-22","layer":3},{"info":"≪⊺⇮-22=⊺⇮913","layer":2},{"info":"∐⩳⋚⊺⇮913=⊺⇮119480","layer":1},{"info":"NaN⇴∐⊺⇮119480=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"((⩒∊($3059$⪨⊡$2469$))⪓⨏)⇄($2557$⪔$5436$)⫁($1210$∠↢$5438$)⪛(≸≮(≸$1045$))","expression":"((⩒∊(⊺⇮3059⪨⊡⊺⇮2469))⪓⨏)⇄(⊺⇮2557⪔⊺⇮5436)⫁(⊺⇮1210∠↢⊺⇮5438)⪛(≸≮(≸⊺⇮1045))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":246850,"operation_count":10,"complexity_ratio":24685.0,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3059,"base":10},"right_expr":{"type":"numeric_atoms","value":2469,"base":10}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2557,"base":10},"right_expr":{"type":"numeric_atoms","value":5436,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1210,"base":10},"right_expr":{"type":"numeric_atoms","value":5438,"base":10}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1045,"base":10}}}}},"used_operators":["3EYGwJThht","4X9JU4Jbn6","qazvmhNBbN","kuIXHzHcAH","uFcxV4UQCh","0ajvFaJAv0","GjBEYRfMaF","KbjG8mgYpV","AljMvE3RRm","eOf03JbCpp"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","cHh1gJQ2o6","AHs5Up7iyr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3059","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=3059, right_input=2469, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1273","layer":2},{"info":"compute unary expreesion, input=-1273, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"number node, value=2557","layer":4},{"info":"number node, value=5436","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=5436, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=5438","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=5438, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-79890","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-79890, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-30","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-30, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-20","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⩒∊(⊺⇮3059⪨⊡⊺⇮2469))⪓⨏)⇄(⊺⇮2557⪔⊺⇮5436)⫁(⊺⇮1210∠↢⊺⇮5438)⪛(≸≮(≸⊺⇮1045))=NaN","reverse_text":"NaN=((⩒∊(⊺⇮3059⪨⊡⊺⇮2469))⪓⨏)⇄(⊺⇮2557⪔⊺⇮5436)⫁(⊺⇮1210∠↢⊺⇮5438)⪛(≸≮(≸⊺⇮1045))","cot":[{"info":"⊺⇮3059⪨⊡⊺⇮2469=⊺⇮0","layer":3},{"info":"⩒∊⊺⇮0=⊺⇮-1273","layer":2},{"info":"⊺⇮-1273⪓⨏=NaN","layer":1},{"info":"⊺⇮2557⪔⊺⇮5436=⊺⇮450","layer":3},{"info":"⊺⇮1210∠↢⊺⇮5438=⊺⇮-79890","layer":3},{"info":"⊺⇮450⫁⊺⇮-79890=⊺⇮160","layer":2},{"info":"≸⊺⇮1045=⊺⇮58","layer":3},{"info":"≸≮⊺⇮58=⊺⇮-30","layer":2},{"info":"⊺⇮160⪛⊺⇮-30=⊺⇮-20","layer":1},{"info":"NaN⇄⊺⇮-20=NaN","layer":0}]}
{"id":514,"expression_no_base_symbol":"(($4962$∵≐)∴($1043$≓∲$1568$)⪹)⨐(($4805$≦↸$1239$⫚↹⊑$3176$⪢$3292$)⪹)","expression":"((⊺⇮4962∵≐)∴(⊺⇮1043≓∲⊺⇮1568)⪹)⨐((⊺⇮4805≦↸⊺⇮1239⫚↹⊑⊺⇮3176⪢⊺⇮3292)⪹)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3425,"operation_count":9,"complexity_ratio":380.55555555555554,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":4962,"base":10}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1043,"base":10},"right_expr":{"type":"numeric_atoms","value":1568,"base":10}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4805,"base":10},"right_expr":{"type":"numeric_atoms","value":1239,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3176,"base":10},"right_expr":{"type":"numeric_atoms","value":3292,"base":10}}}}},"used_operators":["Noe24qw2ks","B3sABdIn96","hrf7POJlIJ","59igzFyhWz","s1XTVnmDOJ","dfKe02y8D2","RygbFNSyEJ","dWAJyo7jo9"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","k8jYdgA6NY"],"result":"⊺⇮-47704","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4962","layer":4},{"info":"compute unary expreesion, input=4962, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=4016","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1568, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=11213","layer":3},{"info":"compute binary expreesion, left_input=4016, right_input=11213, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9680","layer":2},{"info":"compute unary expreesion, input=9680, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=23852","layer":1},{"info":"number node, value=4805","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=4805, right_input=1239, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-11407","layer":3},{"info":"number node, value=3176","layer":4},{"info":"number node, value=3292","layer":4},{"info":"compute binary expreesion, left_input=3176, right_input=3292, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11407, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=4660","layer":1},{"info":"compute binary expreesion, left_input=23852, right_input=4660, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-47704","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4962∵≐)∴(⊺⇮1043≓∲⊺⇮1568)⪹)⨐((⊺⇮4805≦↸⊺⇮1239⫚↹⊑⊺⇮3176⪢⊺⇮3292)⪹)=⊺⇮-47704","reverse_text":"⊺⇮-47704=((⊺⇮4962∵≐)∴(⊺⇮1043≓∲⊺⇮1568)⪹)⨐((⊺⇮4805≦↸⊺⇮1239⫚↹⊑⊺⇮3176⪢⊺⇮3292)⪹)","cot":[{"info":"⊺⇮4962∵≐=⊺⇮4016","layer":3},{"info":"⊺⇮1043≓∲⊺⇮1568=⊺⇮11213","layer":3},{"info":"⊺⇮4016∴⊺⇮11213=⊺⇮9680","layer":2},{"info":"⊺⇮9680⪹=⊺⇮23852","layer":1},{"info":"⊺⇮4805≦↸⊺⇮1239=⊺⇮-11407","layer":3},{"info":"⊺⇮3176⪢⊺⇮3292=NaN","layer":3},{"info":"⊺⇮-11407⫚↹⊑NaN=⊺⇮-447","layer":2},{"info":"⊺⇮-447⪹=⊺⇮4660","layer":1},{"info":"⊺⇮23852⨐⊺⇮4660=⊺⇮-47704","layer":0}]}
{"id":515,"expression_no_base_symbol":"(⪡⇡≛($5812$⨫⇇↔$1529$⪨⊡($4170$⫌⩉⩟$4074$)))∕⩚(≻⋜($1853$≎⊠⪸$1712$⫚↹⊑(∐⩳⋚$1089$)))","expression":"(⪡⇡≛(⊺⇮5812⨫⇇↔⊺⇮1529⪨⊡(⊺⇮4170⫌⩉⩟⊺⇮4074)))∕⩚(≻⋜(⊺⇮1853≎⊠⪸⊺⇮1712⫚↹⊑(∐⩳⋚⊺⇮1089)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30442,"operation_count":9,"complexity_ratio":3382.4444444444443,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":5812,"base":10},"right_expr":{"type":"numeric_atoms","value":1529,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4170,"base":10},"right_expr":{"type":"numeric_atoms","value":4074,"base":10}}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1853,"base":10},"right_expr":{"type":"numeric_atoms","value":1712,"base":10}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1089,"base":10}}}}},"used_operators":["z9ffQ9n5Zr","qL4PrbW1Dq","kuIXHzHcAH","LXhwmt4mBO","XIIwhv8d0m","3tj9sqzovi","dfKe02y8D2","bJkvcejdHO","SL6IHkK8vl"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"⊺⇮-487","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5812","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=5812, right_input=1529, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=4170","layer":4},{"info":"number node, value=4074","layer":4},{"info":"compute binary expreesion, left_input=4170, right_input=4074, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-50, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=989","layer":2},{"info":"compute unary expreesion, input=989, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-989","layer":1},{"info":"number node, value=1853","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=1712, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=479454","layer":3},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=146056","layer":3},{"info":"compute binary expreesion, left_input=479454, right_input=146056, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-989, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":10,"result_base":10,"text":"(⪡⇡≛(⊺⇮5812⨫⇇↔⊺⇮1529⪨⊡(⊺⇮4170⫌⩉⩟⊺⇮4074)))∕⩚(≻⋜(⊺⇮1853≎⊠⪸⊺⇮1712⫚↹⊑(∐⩳⋚⊺⇮1089)))=⊺⇮-487","reverse_text":"⊺⇮-487=(⪡⇡≛(⊺⇮5812⨫⇇↔⊺⇮1529⪨⊡(⊺⇮4170⫌⩉⩟⊺⇮4074)))∕⩚(≻⋜(⊺⇮1853≎⊠⪸⊺⇮1712⫚↹⊑(∐⩳⋚⊺⇮1089)))","cot":[{"info":"⊺⇮5812⨫⇇↔⊺⇮1529=⊺⇮-527","layer":3},{"info":"⊺⇮4170⫌⩉⩟⊺⇮4074=⊺⇮-50","layer":3},{"info":"⊺⇮-527⪨⊡⊺⇮-50=⊺⇮989","layer":2},{"info":"⪡⇡≛⊺⇮989=⊺⇮-989","layer":1},{"info":"⊺⇮1853≎⊠⪸⊺⇮1712=⊺⇮479454","layer":3},{"info":"∐⩳⋚⊺⇮1089=⊺⇮146056","layer":3},{"info":"⊺⇮479454⫚↹⊑⊺⇮146056=⊺⇮-447","layer":2},{"info":"≻⋜⊺⇮-447=NaN","layer":1},{"info":"⊺⇮-989∕⩚NaN=⊺⇮-487","layer":0}]}
{"id":516,"expression_no_base_symbol":"((↩⪖$5809$)≁($3429$⪨⊡$1448$)⊘)⪭≯(≦∁($1275$⊲⩕⊾$1168$)⊕∕($1028$⪟⇏$1172$))","expression":"((↩⪖⊺⇮5809)≁(⊺⇮3429⪨⊡⊺⇮1448)⊘)⪭≯(≦∁(⊺⇮1275⊲⩕⊾⊺⇮1168)⊕∕(⊺⇮1028⪟⇏⊺⇮1172))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":502,"operation_count":9,"complexity_ratio":55.77777777777778,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":5809,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3429,"base":10},"right_expr":{"type":"numeric_atoms","value":1448,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1275,"base":10},"right_expr":{"type":"numeric_atoms","value":1168,"base":10}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1028,"base":10},"right_expr":{"type":"numeric_atoms","value":1172,"base":10}}}}},"used_operators":["XAx5wpdLa6","gu96TGCTMs","8N2wDY1A35","fG6uBQFnGz","kuIXHzHcAH","9ICcGScMcE","9cloC0Ngie","DmTXOeWf9t","GODebY97qR"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5809","layer":4},{"info":"compute unary expreesion, input=5809, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-37836","layer":3},{"info":"number node, value=3429","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=3429, right_input=1448, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-37836, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":2},{"info":"compute unary expreesion, input=-8941, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":1},{"info":"number node, value=1275","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=1168, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-28710","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1172, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-28710, right_input=-1, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-28710","layer":2},{"info":"compute unary expreesion, input=-28710, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=67, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↩⪖⊺⇮5809)≁(⊺⇮3429⪨⊡⊺⇮1448)⊘)⪭≯(≦∁(⊺⇮1275⊲⩕⊾⊺⇮1168)⊕∕(⊺⇮1028⪟⇏⊺⇮1172))=NaN","reverse_text":"NaN=((↩⪖⊺⇮5809)≁(⊺⇮3429⪨⊡⊺⇮1448)⊘)⪭≯(≦∁(⊺⇮1275⊲⩕⊾⊺⇮1168)⊕∕(⊺⇮1028⪟⇏⊺⇮1172))","cot":[{"info":"↩⪖⊺⇮5809=⊺⇮-37836","layer":3},{"info":"⊺⇮3429⪨⊡⊺⇮1448=⊺⇮0","layer":3},{"info":"⊺⇮-37836≁⊺⇮0=⊺⇮-8941","layer":2},{"info":"⊺⇮-8941⊘=⊺⇮-1","layer":1},{"info":"⊺⇮1275⊲⩕⊾⊺⇮1168=⊺⇮-28710","layer":3},{"info":"⊺⇮1028⪟⇏⊺⇮1172=⊺⇮-1","layer":3},{"info":"⊺⇮-28710⊕∕⊺⇮-1=⊺⇮-28710","layer":2},{"info":"≦∁⊺⇮-28710=⊺⇮67","layer":1},{"info":"⊺⇮-1⪭≯⊺⇮67=NaN","layer":0}]}
{"id":517,"expression_no_base_symbol":"(($2469$≄⊠$1604$⊉≛↸(⊑$8130$))↡⊰⫅(⫡⇟⇯$1133$)⫁⪎($1123$≠≀$4080$))⩣⫁∢(⪹(⪨⨬($2087$⋻⩜⩜$2639$)))","expression":"((⊺⇮2469≄⊠⊺⇮1604⊉≛↸(⊑⊺⇮8130))↡⊰⫅(⫡⇟⇯⊺⇮1133)⫁⪎(⊺⇮1123≠≀⊺⇮4080))⩣⫁∢(⪹(⪨⨬(⊺⇮2087⋻⩜⩜⊺⇮2639)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":108541,"operation_count":11,"complexity_ratio":9867.363636363636,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2469,"base":10},"right_expr":{"type":"numeric_atoms","value":1604,"base":10}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":8130,"base":10}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1133,"base":10}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1123,"base":10},"right_expr":{"type":"numeric_atoms","value":4080,"base":10}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2087,"base":10},"right_expr":{"type":"numeric_atoms","value":2639,"base":10}}}}},"used_operators":["JDUIKTTSIa","VCtxkLNOzz","DZ8iAZOCBD","vXNesLlMH1","IkUmn0D7oy","xRrnTEsQ6j","qWUSsah53b","IwW236VD4Y","USyYr0JgAa","5obUd6DV38","oDCm7WA9JY"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DZ8iAZOCBD","P8v4zCKN1o","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","tifHPKVTfV","T2fj7uvVaJ","nlCqmYiOvY","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⊺⇮-20135","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2469","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=1604, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=30332","layer":3},{"info":"number node, value=8130","layer":4},{"info":"compute unary expreesion, input=8130, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=30332, right_input=192, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=60664","layer":2},{"info":"number node, value=1133","layer":4},{"info":"compute unary expreesion, input=1133, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3134","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=4080, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1940","layer":3},{"info":"compute binary expreesion, left_input=3134, right_input=-1940, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5074","layer":2},{"info":"compute binary expreesion, left_input=60664, right_input=5074, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10148","layer":1},{"info":"number node, value=2087","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=2639, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4174","layer":3},{"info":"compute unary expreesion, input=4174, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute unary expreesion, input=-526, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=706","layer":1},{"info":"compute binary expreesion, left_input=10148, right_input=706, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-20135","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2469≄⊠⊺⇮1604⊉≛↸(⊑⊺⇮8130))↡⊰⫅(⫡⇟⇯⊺⇮1133)⫁⪎(⊺⇮1123≠≀⊺⇮4080))⩣⫁∢(⪹(⪨⨬(⊺⇮2087⋻⩜⩜⊺⇮2639)))=⊺⇮-20135","reverse_text":"⊺⇮-20135=((⊺⇮2469≄⊠⊺⇮1604⊉≛↸(⊑⊺⇮8130))↡⊰⫅(⫡⇟⇯⊺⇮1133)⫁⪎(⊺⇮1123≠≀⊺⇮4080))⩣⫁∢(⪹(⪨⨬(⊺⇮2087⋻⩜⩜⊺⇮2639)))","cot":[{"info":"⊺⇮2469≄⊠⊺⇮1604=⊺⇮30332","layer":3},{"info":"⊑⊺⇮8130=⊺⇮192","layer":3},{"info":"⊺⇮30332⊉≛↸⊺⇮192=⊺⇮60664","layer":2},{"info":"⫡⇟⇯⊺⇮1133=⊺⇮3134","layer":3},{"info":"⊺⇮1123≠≀⊺⇮4080=⊺⇮-1940","layer":3},{"info":"⊺⇮3134⫁⪎⊺⇮-1940=⊺⇮5074","layer":2},{"info":"⊺⇮60664↡⊰⫅⊺⇮5074=⊺⇮10148","layer":1},{"info":"⊺⇮2087⋻⩜⩜⊺⇮2639=⊺⇮4174","layer":3},{"info":"⪨⨬⊺⇮4174=⊺⇮-526","layer":2},{"info":"⪹⊺⇮-526=⊺⇮706","layer":1},{"info":"⊺⇮10148⩣⫁∢⊺⇮706=⊺⇮-20135","layer":0}]}
{"id":518,"expression_no_base_symbol":"(⨞⊢$2217$≬⇓$1652$)∘($3821$⨂≜$1307$≄⊠$1277$≄⊠$3980$)⊍⩺⋍($1042$⪟⇏$6958$∖$4828$⪒$1399$∕⩚(⊖∈($6319$∖$1937$)))","expression":"(⨞⊢⊺⇮2217≬⇓⊺⇮1652)∘(⊺⇮3821⨂≜⊺⇮1307≄⊠⊺⇮1277≄⊠⊺⇮3980)⊍⩺⋍(⊺⇮1042⪟⇏⊺⇮6958∖⊺⇮4828⪒⊺⇮1399∕⩚(⊖∈(⊺⇮6319∖⊺⇮1937)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4802,"operation_count":13,"complexity_ratio":369.38461538461536,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2217,"base":10},"right_expr":{"type":"numeric_atoms","value":1652,"base":10}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3821,"base":10},"right_expr":{"type":"numeric_atoms","value":1307,"base":10}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1277,"base":10},"right_expr":{"type":"numeric_atoms","value":3980,"base":10}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1042,"base":10},"right_expr":{"type":"numeric_atoms","value":6958,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4828,"base":10},"right_expr":{"type":"numeric_atoms","value":1399,"base":10}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6319,"base":10},"right_expr":{"type":"numeric_atoms","value":1937,"base":10}}}}},"used_operators":["OXDGMFPWZM","Z5m6OM72h2","xUOZtlo3hN","jWTQ2TZYIH","vXNesLlMH1","k1SHOSEABc","z9ffQ9n5Zr","tXD093vOjl","GODebY97qR","f6k1SAg4EE","YFxL8Sc2Zy"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2217","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=1652, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-152","layer":2},{"info":"number node, value=3821","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=1307, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1277","layer":4},{"info":"number node, value=3980","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=3980, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=68348","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=68348, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1098236","layer":2},{"info":"compute binary expreesion, left_input=-152, right_input=1098236, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-304","layer":1},{"info":"number node, value=1042","layer":4},{"info":"number node, value=6958","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=6958, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=4828","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=4828, right_input=1399, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6227","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-6227, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=6319","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=6319, right_input=1937, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=-5594","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5594, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=-304, right_input=-487, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨞⊢⊺⇮2217≬⇓⊺⇮1652)∘(⊺⇮3821⨂≜⊺⇮1307≄⊠⊺⇮1277≄⊠⊺⇮3980)⊍⩺⋍(⊺⇮1042⪟⇏⊺⇮6958∖⊺⇮4828⪒⊺⇮1399∕⩚(⊖∈(⊺⇮6319∖⊺⇮1937)))=NaN","reverse_text":"NaN=(⨞⊢⊺⇮2217≬⇓⊺⇮1652)∘(⊺⇮3821⨂≜⊺⇮1307≄⊠⊺⇮1277≄⊠⊺⇮3980)⊍⩺⋍(⊺⇮1042⪟⇏⊺⇮6958∖⊺⇮4828⪒⊺⇮1399∕⩚(⊖∈(⊺⇮6319∖⊺⇮1937)))","cot":[{"info":"⊺⇮2217≬⇓⊺⇮1652=⊺⇮-22","layer":3},{"info":"⨞⊢⊺⇮-22=⊺⇮-152","layer":2},{"info":"⊺⇮3821⨂≜⊺⇮1307=NaN","layer":3},{"info":"⊺⇮1277≄⊠⊺⇮3980=⊺⇮68348","layer":3},{"info":"NaN≄⊠⊺⇮68348=⊺⇮1098236","layer":2},{"info":"⊺⇮-152∘⊺⇮1098236=⊺⇮-304","layer":1},{"info":"⊺⇮1042⪟⇏⊺⇮6958=⊺⇮-1","layer":3},{"info":"⊺⇮4828⪒⊺⇮1399=⊺⇮-6227","layer":3},{"info":"⊺⇮-1∖⊺⇮-6227=⊺⇮0","layer":2},{"info":"⊺⇮6319∖⊺⇮1937=⊺⇮0","layer":3},{"info":"⊖∈⊺⇮0=⊺⇮-5594","layer":2},{"info":"⊺⇮0∕⩚⊺⇮-5594=⊺⇮-487","layer":1},{"info":"⊺⇮-304⊍⩺⋍⊺⇮-487=NaN","layer":0}]}
{"id":519,"expression_no_base_symbol":"($2179$∛$3395$⋓$2378$≀⫉$1365$)⇷($2314$⊹∫⫚$1125$)⨿(∂⩏⊆$1553$)⪍↜⋙(⋼∭⪍($1329$⪬∳))∣((∟⋨$1593$)⨪↰⇹($3104$⫰⋱$1172$))","expression":"(⊺⇮2179∛⊺⇮3395⋓⊺⇮2378≀⫉⊺⇮1365)⇷(⊺⇮2314⊹∫⫚⊺⇮1125)⨿(∂⩏⊆⊺⇮1553)⪍↜⋙(⋼∭⪍(⊺⇮1329⪬∳))∣((∟⋨⊺⇮1593)⨪↰⇹(⊺⇮3104⫰⋱⊺⇮1172))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8341,"operation_count":14,"complexity_ratio":595.7857142857143,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2179,"base":10},"right_expr":{"type":"numeric_atoms","value":3395,"base":10}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2378,"base":10},"right_expr":{"type":"numeric_atoms","value":1365,"base":10}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2314,"base":10},"right_expr":{"type":"numeric_atoms","value":1125,"base":10}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1553,"base":10}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1329,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1593,"base":10}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3104,"base":10},"right_expr":{"type":"numeric_atoms","value":1172,"base":10}}}}},"used_operators":["L05ObWFQCd","mp7IySMOzn","T2fj7uvVaJ","w2537kitQq","oZj3VtZNQx","abYXlopdE0","uWAJUKEvyW","8WDwsbhb0R","PPChnnnBFF","DbCuESL50I","O9U3z1385E","tmPS8pqC7x","ctOc4cKSDt","6o9Blt3TJ6"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","14qkJME0vr","eLAdDNolq6","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","rJVOvQCfKK","eLAdDNolq6","tmPS8pqC7x","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⊺⇮8572","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2179","layer":4},{"info":"number node, value=3395","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=3395, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2378","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=2378, right_input=1365, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=2822, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2314","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=1125, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-252","layer":3},{"info":"number node, value=1553","layer":4},{"info":"compute unary expreesion, input=1553, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-4738","layer":3},{"info":"compute binary expreesion, left_input=-252, right_input=-4738, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=134","layer":1},{"info":"number node, value=1329","layer":4},{"info":"compute unary expreesion, input=1329, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute unary expreesion, input=-709, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-4152","layer":2},{"info":"number node, value=1593","layer":4},{"info":"compute unary expreesion, input=1593, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1109","layer":3},{"info":"number node, value=3104","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=3104, right_input=1172, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3071","layer":3},{"info":"compute binary expreesion, left_input=-1109, right_input=-3071, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1109","layer":2},{"info":"compute binary expreesion, left_input=-4152, right_input=1109, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-4152","layer":1},{"info":"compute binary expreesion, left_input=134, right_input=-4152, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=8572","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2179∛⊺⇮3395⋓⊺⇮2378≀⫉⊺⇮1365)⇷(⊺⇮2314⊹∫⫚⊺⇮1125)⨿(∂⩏⊆⊺⇮1553)⪍↜⋙(⋼∭⪍(⊺⇮1329⪬∳))∣((∟⋨⊺⇮1593)⨪↰⇹(⊺⇮3104⫰⋱⊺⇮1172))=⊺⇮8572","reverse_text":"⊺⇮8572=(⊺⇮2179∛⊺⇮3395⋓⊺⇮2378≀⫉⊺⇮1365)⇷(⊺⇮2314⊹∫⫚⊺⇮1125)⨿(∂⩏⊆⊺⇮1553)⪍↜⋙(⋼∭⪍(⊺⇮1329⪬∳))∣((∟⋨⊺⇮1593)⨪↰⇹(⊺⇮3104⫰⋱⊺⇮1172))","cot":[{"info":"⊺⇮2179∛⊺⇮3395=⊺⇮-670","layer":3},{"info":"⊺⇮2378≀⫉⊺⇮1365=⊺⇮2822","layer":3},{"info":"⊺⇮-670⋓⊺⇮2822=⊺⇮0","layer":2},{"info":"⊺⇮2314⊹∫⫚⊺⇮1125=⊺⇮-252","layer":3},{"info":"∂⩏⊆⊺⇮1553=⊺⇮-4738","layer":3},{"info":"⊺⇮-252⨿⊺⇮-4738=⊺⇮67","layer":2},{"info":"⊺⇮0⇷⊺⇮67=⊺⇮134","layer":1},{"info":"⊺⇮1329⪬∳=⊺⇮-709","layer":3},{"info":"⋼∭⪍⊺⇮-709=⊺⇮-4152","layer":2},{"info":"∟⋨⊺⇮1593=⊺⇮-1109","layer":3},{"info":"⊺⇮3104⫰⋱⊺⇮1172=⊺⇮-3071","layer":3},{"info":"⊺⇮-1109⨪↰⇹⊺⇮-3071=⊺⇮1109","layer":2},{"info":"⊺⇮-4152∣⊺⇮1109=⊺⇮-4152","layer":1},{"info":"⊺⇮134⪍↜⋙⊺⇮-4152=⊺⇮8572","layer":0}]}
{"id":520,"expression_no_base_symbol":"⫶⊄≣((↥(≋$3720$))∙⊟($4144$⋻⩜⩜$7889$)⪍↜⋙($6638$⋓$3304$))","expression":"⫶⊄≣((↥(≋⊺⇮3720))∙⊟(⊺⇮4144⋻⩜⩜⊺⇮7889)⪍↜⋙(⊺⇮6638⋓⊺⇮3304))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":132349,"operation_count":7,"complexity_ratio":18907.0,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3720,"base":10}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4144,"base":10},"right_expr":{"type":"numeric_atoms","value":7889,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6638,"base":10},"right_expr":{"type":"numeric_atoms","value":3304,"base":10}}}}},"used_operators":["wxb3vTeyAj","SxTAKzQCrw","A8NUZmVepG","61wBmkZwlr","L05ObWFQCd","oDCm7WA9JY","T2fj7uvVaJ"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","k8jYdgA6NY","7j4O788W3g","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3720","layer":4},{"info":"compute unary expreesion, input=3720, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3720","layer":3},{"info":"compute unary expreesion, input=3720, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":2},{"info":"number node, value=4144","layer":4},{"info":"number node, value=7889","layer":4},{"info":"compute binary expreesion, left_input=4144, right_input=7889, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8288","layer":3},{"info":"number node, value=6638","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=6638, right_input=3304, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8288, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=16576","layer":2},{"info":"compute binary expreesion, left_input=48, right_input=16576, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=21661","layer":1},{"info":"compute unary expreesion, input=21661, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=inf","layer":0}],"base":10,"result_base":10,"text":"⫶⊄≣((↥(≋⊺⇮3720))∙⊟(⊺⇮4144⋻⩜⩜⊺⇮7889)⪍↜⋙(⊺⇮6638⋓⊺⇮3304))=Inf","reverse_text":"Inf=⫶⊄≣((↥(≋⊺⇮3720))∙⊟(⊺⇮4144⋻⩜⩜⊺⇮7889)⪍↜⋙(⊺⇮6638⋓⊺⇮3304))","cot":[{"info":"≋⊺⇮3720=⊺⇮3720","layer":3},{"info":"↥⊺⇮3720=⊺⇮48","layer":2},{"info":"⊺⇮4144⋻⩜⩜⊺⇮7889=⊺⇮8288","layer":3},{"info":"⊺⇮6638⋓⊺⇮3304=⊺⇮0","layer":3},{"info":"⊺⇮8288⪍↜⋙⊺⇮0=⊺⇮16576","layer":2},{"info":"⊺⇮48∙⊟⊺⇮16576=⊺⇮21661","layer":1},{"info":"⫶⊄≣⊺⇮21661=Inf","layer":0}]}
{"id":521,"expression_no_base_symbol":"((($1585$⊝)⨔≚≋($2439$∙⊟$3584$))⪔⊥((⊖∈$5060$)∖$3180$↹⊜$2797$))↠","expression":"(((⊺⇮1585⊝)⨔≚≋(⊺⇮2439∙⊟⊺⇮3584))⪔⊥((⊖∈⊺⇮5060)∖⊺⇮3180↹⊜⊺⇮2797))↠","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4427,"operation_count":8,"complexity_ratio":553.375,"tree":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1585,"base":10}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2439,"base":10},"right_expr":{"type":"numeric_atoms","value":3584,"base":10}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5060,"base":10}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3180,"base":10},"right_expr":{"type":"numeric_atoms","value":2797,"base":10}}}}},"used_operators":["LBdsKIvxzf","HJ9erzHUuu","Z57zeUYC9z","O6EZ0fifGK","SxTAKzQCrw","tXD093vOjl","YFxL8Sc2Zy","9bazX3JMtO"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1585","layer":4},{"info":"compute unary expreesion, input=1585, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1585","layer":3},{"info":"number node, value=2439","layer":4},{"info":"number node, value=3584","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=3584, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=41553","layer":3},{"info":"compute binary expreesion, left_input=1585, right_input=41553, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=5060","layer":4},{"info":"compute unary expreesion, input=5060, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=95606","layer":3},{"info":"number node, value=3180","layer":4},{"info":"number node, value=2797","layer":4},{"info":"compute binary expreesion, left_input=3180, right_input=2797, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-4924","layer":3},{"info":"compute binary expreesion, left_input=95606, right_input=-4924, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9872, right_input=0, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-9073","layer":1},{"info":"compute unary expreesion, input=-9073, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1585⊝)⨔≚≋(⊺⇮2439∙⊟⊺⇮3584))⪔⊥((⊖∈⊺⇮5060)∖⊺⇮3180↹⊜⊺⇮2797))↠=NaN","reverse_text":"NaN=(((⊺⇮1585⊝)⨔≚≋(⊺⇮2439∙⊟⊺⇮3584))⪔⊥((⊖∈⊺⇮5060)∖⊺⇮3180↹⊜⊺⇮2797))↠","cot":[{"info":"⊺⇮1585⊝=⊺⇮1585","layer":3},{"info":"⊺⇮2439∙⊟⊺⇮3584=⊺⇮41553","layer":3},{"info":"⊺⇮1585⨔≚≋⊺⇮41553=⊺⇮9872","layer":2},{"info":"⊖∈⊺⇮5060=⊺⇮95606","layer":3},{"info":"⊺⇮3180↹⊜⊺⇮2797=⊺⇮-4924","layer":3},{"info":"⊺⇮95606∖⊺⇮-4924=⊺⇮0","layer":2},{"info":"⊺⇮9872⪔⊥⊺⇮0=⊺⇮-9073","layer":1},{"info":"⊺⇮-9073↠=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"((⨈⪑(⩒∊$1710$))⋝⋈⪟(($1273$⫩⊇)⊨($1367$⊉≛↸$1574$)))≝⊿((↣≠⋷$1960$)∑⇟⊟$2109$↓$1796$↡⊰⫅(⨡↴$2408$⋝⋈⪟$3675$))","expression":"((⨈⪑(⩒∊⊺⇮1710))⋝⋈⪟((⊺⇮1273⫩⊇)⊨(⊺⇮1367⊉≛↸⊺⇮1574)))≝⊿((↣≠⋷⊺⇮1960)∑⇟⊟⊺⇮2109↓⊺⇮1796↡⊰⫅(⨡↴⊺⇮2408⋝⋈⪟⊺⇮3675))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":91938,"operation_count":13,"complexity_ratio":7072.153846153846,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1710,"base":10}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1273,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1367,"base":10},"right_expr":{"type":"numeric_atoms","value":1574,"base":10}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1960,"base":10}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2109,"base":10},"right_expr":{"type":"numeric_atoms","value":1796,"base":10}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2408,"base":10},"right_expr":{"type":"numeric_atoms","value":3675,"base":10}}}}},"used_operators":["OKKcZfAt5B","2DDjHMKMc0","mp94q5OcYM","qazvmhNBbN","vg4gO5BX6G","BjRHVeLaeN","DZ8iAZOCBD","VCtxkLNOzz","U7g4x0WXJJ","Asc51vEJeQ","Af076pWI7l","liw5iZPkLH"],"dependent_operators":["12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","AHs5Up7iyr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","P8v4zCKN1o"],"result":"⊺⇮-15229","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1710","layer":4},{"info":"compute unary expreesion, input=1710, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2663","layer":3},{"info":"compute unary expreesion, input=2663, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=1273","layer":4},{"info":"compute unary expreesion, input=1273, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1231","layer":3},{"info":"number node, value=1367","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=1574, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2734","layer":3},{"info":"compute binary expreesion, left_input=-1231, right_input=2734, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-174, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=868","layer":1},{"info":"number node, value=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2109","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=1796, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2408","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=3675, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2408","layer":3},{"info":"compute unary expreesion, input=2408, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3457","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3457, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6914","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=6914, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-15229","layer":0}],"base":10,"result_base":10,"text":"((⨈⪑(⩒∊⊺⇮1710))⋝⋈⪟((⊺⇮1273⫩⊇)⊨(⊺⇮1367⊉≛↸⊺⇮1574)))≝⊿((↣≠⋷⊺⇮1960)∑⇟⊟⊺⇮2109↓⊺⇮1796↡⊰⫅(⨡↴⊺⇮2408⋝⋈⪟⊺⇮3675))=⊺⇮-15229","reverse_text":"⊺⇮-15229=((⨈⪑(⩒∊⊺⇮1710))⋝⋈⪟((⊺⇮1273⫩⊇)⊨(⊺⇮1367⊉≛↸⊺⇮1574)))≝⊿((↣≠⋷⊺⇮1960)∑⇟⊟⊺⇮2109↓⊺⇮1796↡⊰⫅(⨡↴⊺⇮2408⋝⋈⪟⊺⇮3675))","cot":[{"info":"⩒∊⊺⇮1710=⊺⇮2663","layer":3},{"info":"⨈⪑⊺⇮2663=⊺⇮868","layer":2},{"info":"⊺⇮1273⫩⊇=⊺⇮-1231","layer":3},{"info":"⊺⇮1367⊉≛↸⊺⇮1574=⊺⇮2734","layer":3},{"info":"⊺⇮-1231⊨⊺⇮2734=⊺⇮-174","layer":2},{"info":"⊺⇮868⋝⋈⪟⊺⇮-174=⊺⇮868","layer":1},{"info":"↣≠⋷⊺⇮1960=NaN","layer":3},{"info":"⊺⇮2109↓⊺⇮1796=⊺⇮-134","layer":3},{"info":"NaN∑⇟⊟⊺⇮-134=NaN","layer":2},{"info":"⊺⇮2408⋝⋈⪟⊺⇮3675=⊺⇮2408","layer":3},{"info":"⨡↴⊺⇮2408=⊺⇮3457","layer":2},{"info":"NaN↡⊰⫅⊺⇮3457=⊺⇮6914","layer":1},{"info":"⊺⇮868≝⊿⊺⇮6914=⊺⇮-15229","layer":0}]}
{"id":523,"expression_no_base_symbol":"⫡⇟⇯((($1886$⪨≂$1964$)⩏)⊀⩕)","expression":"⫡⇟⇯(((⊺⇮1886⪨≂⊺⇮1964)⩏)⊀⩕)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1302,"operation_count":4,"complexity_ratio":325.5,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1886,"base":10},"right_expr":{"type":"numeric_atoms","value":1964,"base":10}}}}},"used_operators":["qWUSsah53b","r0FS3hW4cC","iA2gmKZ3Wj","sdazOOVcIp"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","rGHVDoGpnC","nhYeJWJD5X","z6LnFrNh4i","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮868","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=1964, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-54","layer":3},{"info":"compute unary expreesion, input=-54, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=868","layer":0}],"base":10,"result_base":10,"text":"⫡⇟⇯(((⊺⇮1886⪨≂⊺⇮1964)⩏)⊀⩕)=⊺⇮868","reverse_text":"⊺⇮868=⫡⇟⇯(((⊺⇮1886⪨≂⊺⇮1964)⩏)⊀⩕)","cot":[{"info":"⊺⇮1886⪨≂⊺⇮1964=⊺⇮-54","layer":3},{"info":"⊺⇮-54⩏=⊺⇮0","layer":2},{"info":"⊺⇮0⊀⩕=⊺⇮0","layer":1},{"info":"⫡⇟⇯⊺⇮0=⊺⇮868","layer":0}]}
{"id":524,"expression_no_base_symbol":"⇖⫷⫕((⊖$2891$∇⊂⋱$1056$)⪍↜⋙(⫇($2032$⨔≚≋$1309$)))","expression":"⇖⫷⫕((⊖⊺⇮2891∇⊂⋱⊺⇮1056)⪍↜⋙(⫇(⊺⇮2032⨔≚≋⊺⇮1309)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1539,"operation_count":6,"complexity_ratio":256.5,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2891,"base":10},"right_expr":{"type":"numeric_atoms","value":1056,"base":10}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2032,"base":10},"right_expr":{"type":"numeric_atoms","value":1309,"base":10}}}}},"used_operators":["UHmRx3INFg","L05ObWFQCd","U6pG0PXrV3","nhYeJWJD5X","YjI8oCXuph","Z57zeUYC9z"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⊺⇮2822","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2891","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=1056, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5236","layer":3},{"info":"compute unary expreesion, input=5236, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"number node, value=2032","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=1309, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-18530","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-18530, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=37060","layer":1},{"info":"compute unary expreesion, input=37060, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":10,"result_base":10,"text":"⇖⫷⫕((⊖⊺⇮2891∇⊂⋱⊺⇮1056)⪍↜⋙(⫇(⊺⇮2032⨔≚≋⊺⇮1309)))=⊺⇮2822","reverse_text":"⊺⇮2822=⇖⫷⫕((⊖⊺⇮2891∇⊂⋱⊺⇮1056)⪍↜⋙(⫇(⊺⇮2032⨔≚≋⊺⇮1309)))","cot":[{"info":"⊺⇮2891∇⊂⋱⊺⇮1056=⊺⇮5236","layer":3},{"info":"⊖⊺⇮5236=⊺⇮0","layer":2},{"info":"⊺⇮2032⨔≚≋⊺⇮1309=⊺⇮9872","layer":3},{"info":"⫇⊺⇮9872=⊺⇮-18530","layer":2},{"info":"⊺⇮0⪍↜⋙⊺⇮-18530=⊺⇮37060","layer":1},{"info":"⇖⫷⫕⊺⇮37060=⊺⇮2822","layer":0}]}
{"id":525,"expression_no_base_symbol":"(⇨$6003$∇⊂⋱$5467$)≀⫉($1166$≀⫉$1035$⫰⋱$1559$⨐$3635$)⊾⪯⋞(($6794$⊝⪿⪼$1137$)∊∟⩊($1580$∘$1201$)⇗⋫)","expression":"(⇨⊺⇮6003∇⊂⋱⊺⇮5467)≀⫉(⊺⇮1166≀⫉⊺⇮1035⫰⋱⊺⇮1559⨐⊺⇮3635)⊾⪯⋞((⊺⇮6794⊝⪿⪼⊺⇮1137)∊∟⩊(⊺⇮1580∘⊺⇮1201)⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":373,"operation_count":11,"complexity_ratio":33.90909090909091,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":6003,"base":10},"right_expr":{"type":"numeric_atoms","value":5467,"base":10}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1166,"base":10},"right_expr":{"type":"numeric_atoms","value":1035,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1559,"base":10},"right_expr":{"type":"numeric_atoms","value":3635,"base":10}}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6794,"base":10},"right_expr":{"type":"numeric_atoms","value":1137,"base":10}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1580,"base":10},"right_expr":{"type":"numeric_atoms","value":1201,"base":10}}}}},"used_operators":["HK0tfVPux8","oZj3VtZNQx","G9tJMlZ94a","nhYeJWJD5X","6o9Blt3TJ6","Noe24qw2ks","hpqmaQFPrd","ddLRYrp01A","3Oe9XWJUTD","Z5m6OM72h2"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","k8jYdgA6NY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rxpJgHHUmx","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6003","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=6003, right_input=5467, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=11460","layer":3},{"info":"compute unary expreesion, input=11460, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=1166","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1035, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1559","layer":4},{"info":"number node, value=3635","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=3635, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3118","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-3118, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=363","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=363, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=6794","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=6794, right_input=1137, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=95892","layer":3},{"info":"number node, value=1580","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=1201, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3160","layer":3},{"info":"compute binary expreesion, left_input=95892, right_input=3160, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3160","layer":2},{"info":"compute unary expreesion, input=3160, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇨⊺⇮6003∇⊂⋱⊺⇮5467)≀⫉(⊺⇮1166≀⫉⊺⇮1035⫰⋱⊺⇮1559⨐⊺⇮3635)⊾⪯⋞((⊺⇮6794⊝⪿⪼⊺⇮1137)∊∟⩊(⊺⇮1580∘⊺⇮1201)⇗⋫)=NaN","reverse_text":"NaN=(⇨⊺⇮6003∇⊂⋱⊺⇮5467)≀⫉(⊺⇮1166≀⫉⊺⇮1035⫰⋱⊺⇮1559⨐⊺⇮3635)⊾⪯⋞((⊺⇮6794⊝⪿⪼⊺⇮1137)∊∟⩊(⊺⇮1580∘⊺⇮1201)⇗⋫)","cot":[{"info":"⊺⇮6003∇⊂⋱⊺⇮5467=⊺⇮11460","layer":3},{"info":"⇨⊺⇮11460=⊺⇮0","layer":2},{"info":"⊺⇮1166≀⫉⊺⇮1035=⊺⇮2822","layer":3},{"info":"⊺⇮1559⨐⊺⇮3635=⊺⇮-3118","layer":3},{"info":"⊺⇮2822⫰⋱⊺⇮-3118=⊺⇮363","layer":2},{"info":"⊺⇮0≀⫉⊺⇮363=⊺⇮2822","layer":1},{"info":"⊺⇮6794⊝⪿⪼⊺⇮1137=⊺⇮95892","layer":3},{"info":"⊺⇮1580∘⊺⇮1201=⊺⇮3160","layer":3},{"info":"⊺⇮95892∊∟⩊⊺⇮3160=⊺⇮3160","layer":2},{"info":"⊺⇮3160⇗⋫=NaN","layer":1},{"info":"⊺⇮2822⊾⪯⋞NaN=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"∐⩳⋚(∂⩏⊆(⨵$4437$))⨂≜($4840$↳≱$4355$⪕($3788$⩎⪣⊞))","expression":"∐⩳⋚(∂⩏⊆(⨵⊺⇮4437))⨂≜(⊺⇮4840↳≱⊺⇮4355⪕(⊺⇮3788⩎⪣⊞))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":152489,"operation_count":7,"complexity_ratio":21784.14285714286,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":4437,"base":10}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4840,"base":10},"right_expr":{"type":"numeric_atoms","value":4355,"base":10}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":3788,"base":10}}}}},"used_operators":["SL6IHkK8vl","k1SHOSEABc","8WDwsbhb0R","Tl3Y52tvF8","umQnsF7QlU","JwTKLfZU96","waWucp1uQ4"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","14qkJME0vr","eLAdDNolq6","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4437","layer":4},{"info":"compute unary expreesion, input=4437, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-36705","layer":3},{"info":"compute unary expreesion, input=-36705, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=37189","layer":2},{"info":"number node, value=4840","layer":4},{"info":"number node, value=4355","layer":4},{"info":"compute binary expreesion, left_input=4840, right_input=4355, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3788","layer":4},{"info":"compute unary expreesion, input=3788, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=7576","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7576, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=37189, right_input=-55, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∐⩳⋚(∂⩏⊆(⨵⊺⇮4437))⨂≜(⊺⇮4840↳≱⊺⇮4355⪕(⊺⇮3788⩎⪣⊞))=NaN","reverse_text":"NaN=∐⩳⋚(∂⩏⊆(⨵⊺⇮4437))⨂≜(⊺⇮4840↳≱⊺⇮4355⪕(⊺⇮3788⩎⪣⊞))","cot":[{"info":"⨵⊺⇮4437=⊺⇮-36705","layer":3},{"info":"∂⩏⊆⊺⇮-36705=⊺⇮37189","layer":2},{"info":"⊺⇮4840↳≱⊺⇮4355=⊺⇮0","layer":3},{"info":"⊺⇮3788⩎⪣⊞=⊺⇮7576","layer":3},{"info":"⊺⇮0⪕⊺⇮7576=⊺⇮-55","layer":2},{"info":"⊺⇮37189⨂≜⊺⇮-55=NaN","layer":1},{"info":"∐⩳⋚NaN=NaN","layer":0}]}
{"id":527,"expression_no_base_symbol":"((⪡⇡≛$1572$)⨑≵⋬$3865$↼⊘⨖$2007$∪⫐(⪫⨮⊛($4360$⪕$1116$)))⩣⫁∢((⊲⪭($4883$⇞))↙(⩦⊞$2361$)≳⇉($3084$⪥⨬⪅))","expression":"((⪡⇡≛⊺⇮1572)⨑≵⋬⊺⇮3865↼⊘⨖⊺⇮2007∪⫐(⪫⨮⊛(⊺⇮4360⪕⊺⇮1116)))⩣⫁∢((⊲⪭(⊺⇮4883⇞))↙(⩦⊞⊺⇮2361)≳⇉(⊺⇮3084⪥⨬⪅))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5469204,"operation_count":13,"complexity_ratio":420708.0,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1572,"base":10}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3865,"base":10},"right_expr":{"type":"numeric_atoms","value":2007,"base":10}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4360,"base":10},"right_expr":{"type":"numeric_atoms","value":1116,"base":10}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":4883,"base":10}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2361,"base":10}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":3084,"base":10}}}}},"used_operators":["JDUIKTTSIa","7YooWSwCyH","XnXgA4xnOs","qL4PrbW1Dq","bPywburJMS","w5FWba1tyO","umQnsF7QlU","yyfyN0ffXY","k7HXdKtiEU","5JYyxRJd4f","V0kx6qeWkN","u7fv1HBiaC","zNRQejTB5A"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rJVOvQCfKK","2DDjHMKMc0","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","tmPS8pqC7x","DpFCA1CohY","i8ToyICDmI","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW"],"result":"⊺⇮132665","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1572","layer":4},{"info":"compute unary expreesion, input=1572, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1572","layer":3},{"info":"number node, value=3865","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=3865, right_input=2007, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3792","layer":3},{"info":"compute binary expreesion, left_input=-1572, right_input=3792, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-33025","layer":2},{"info":"number node, value=4360","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=4360, right_input=1116, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=8505","layer":3},{"info":"compute unary expreesion, input=8505, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-33025, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-33025","layer":1},{"info":"number node, value=4883","layer":4},{"info":"compute unary expreesion, input=4883, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=19445","layer":3},{"info":"compute unary expreesion, input=19445, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-19619","layer":2},{"info":"number node, value=2361","layer":4},{"info":"compute unary expreesion, input=2361, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2088","layer":3},{"info":"number node, value=3084","layer":4},{"info":"compute unary expreesion, input=3084, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-2088, right_input=-473, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-19619, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19619","layer":1},{"info":"compute binary expreesion, left_input=-33025, right_input=-19619, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=132665","layer":0}],"base":10,"result_base":10,"text":"((⪡⇡≛⊺⇮1572)⨑≵⋬⊺⇮3865↼⊘⨖⊺⇮2007∪⫐(⪫⨮⊛(⊺⇮4360⪕⊺⇮1116)))⩣⫁∢((⊲⪭(⊺⇮4883⇞))↙(⩦⊞⊺⇮2361)≳⇉(⊺⇮3084⪥⨬⪅))=⊺⇮132665","reverse_text":"⊺⇮132665=((⪡⇡≛⊺⇮1572)⨑≵⋬⊺⇮3865↼⊘⨖⊺⇮2007∪⫐(⪫⨮⊛(⊺⇮4360⪕⊺⇮1116)))⩣⫁∢((⊲⪭(⊺⇮4883⇞))↙(⩦⊞⊺⇮2361)≳⇉(⊺⇮3084⪥⨬⪅))","cot":[{"info":"⪡⇡≛⊺⇮1572=⊺⇮-1572","layer":3},{"info":"⊺⇮3865↼⊘⨖⊺⇮2007=⊺⇮3792","layer":3},{"info":"⊺⇮-1572⨑≵⋬⊺⇮3792=⊺⇮-33025","layer":2},{"info":"⊺⇮4360⪕⊺⇮1116=⊺⇮8505","layer":3},{"info":"⪫⨮⊛⊺⇮8505=NaN","layer":2},{"info":"⊺⇮-33025∪⫐NaN=⊺⇮-33025","layer":1},{"info":"⊺⇮4883⇞=⊺⇮19445","layer":3},{"info":"⊲⪭⊺⇮19445=⊺⇮-19619","layer":2},{"info":"⩦⊞⊺⇮2361=⊺⇮-2088","layer":3},{"info":"⊺⇮3084⪥⨬⪅=⊺⇮-473","layer":3},{"info":"⊺⇮-2088≳⇉⊺⇮-473=NaN","layer":2},{"info":"⊺⇮-19619↙NaN=⊺⇮-19619","layer":1},{"info":"⊺⇮-33025⩣⫁∢⊺⇮-19619=⊺⇮132665","layer":0}]}
{"id":528,"expression_no_base_symbol":"⊵⊁(((≛$1944$)⇼⇔∾$2539$≃$8069$)⊝⪿⪼($1932$⫩⊇)∳⫺($3435$↡⊰⫅$5131$))","expression":"⊵⊁(((≛⊺⇮1944)⇼⇔∾⊺⇮2539≃⊺⇮8069)⊝⪿⪼(⊺⇮1932⫩⊇)∳⫺(⊺⇮3435↡⊰⫅⊺⇮5131))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":71959,"operation_count":8,"complexity_ratio":8994.875,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1944,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2539,"base":10},"right_expr":{"type":"numeric_atoms","value":8069,"base":10}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1932,"base":10}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3435,"base":10},"right_expr":{"type":"numeric_atoms","value":5131,"base":10}}}}},"used_operators":["AvED76WdY7","3Oe9XWJUTD","tifHPKVTfV","W7eaUhjymW","YbVcJGFEVW","AzXXKTstlj","BjRHVeLaeN","VCtxkLNOzz"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1944","layer":4},{"info":"compute unary expreesion, input=1944, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=2539","layer":4},{"info":"number node, value=8069","layer":4},{"info":"compute binary expreesion, left_input=2539, right_input=8069, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-10196","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=-10196, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10186","layer":2},{"info":"number node, value=1932","layer":4},{"info":"compute unary expreesion, input=1932, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1890","layer":3},{"info":"number node, value=3435","layer":4},{"info":"number node, value=5131","layer":4},{"info":"compute binary expreesion, left_input=3435, right_input=5131, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10262","layer":3},{"info":"compute binary expreesion, left_input=-1890, right_input=10262, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-28022","layer":2},{"info":"compute binary expreesion, left_input=-10186, right_input=-28022, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-66530","layer":1},{"info":"compute unary expreesion, input=-66530, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"⊵⊁(((≛⊺⇮1944)⇼⇔∾⊺⇮2539≃⊺⇮8069)⊝⪿⪼(⊺⇮1932⫩⊇)∳⫺(⊺⇮3435↡⊰⫅⊺⇮5131))=⊺⇮0","reverse_text":"⊺⇮0=⊵⊁(((≛⊺⇮1944)⇼⇔∾⊺⇮2539≃⊺⇮8069)⊝⪿⪼(⊺⇮1932⫩⊇)∳⫺(⊺⇮3435↡⊰⫅⊺⇮5131))","cot":[{"info":"≛⊺⇮1944=⊺⇮-10","layer":3},{"info":"⊺⇮2539≃⊺⇮8069=⊺⇮-10196","layer":3},{"info":"⊺⇮-10⇼⇔∾⊺⇮-10196=⊺⇮-10186","layer":2},{"info":"⊺⇮1932⫩⊇=⊺⇮-1890","layer":3},{"info":"⊺⇮3435↡⊰⫅⊺⇮5131=⊺⇮10262","layer":3},{"info":"⊺⇮-1890∳⫺⊺⇮10262=⊺⇮-28022","layer":2},{"info":"⊺⇮-10186⊝⪿⪼⊺⇮-28022=⊺⇮-66530","layer":1},{"info":"⊵⊁⊺⇮-66530=⊺⇮0","layer":0}]}
{"id":529,"expression_no_base_symbol":"(($1016$≠≀$3269$)∘($1333$⨔≚≋$1732$)⪁((↡$1661$)⋩≍≻))∘($5655$∣$2129$↬($4373$⫰⋱$5392$))⪒⊣⊆(($1204$⫩)⋆⋳)","expression":"((⊺⇮1016≠≀⊺⇮3269)∘(⊺⇮1333⨔≚≋⊺⇮1732)⪁((↡⊺⇮1661)⋩≍≻))∘(⊺⇮5655∣⊺⇮2129↬(⊺⇮4373⫰⋱⊺⇮5392))⪒⊣⊆((⊺⇮1204⫩)⋆⋳)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33185,"operation_count":13,"complexity_ratio":2552.6923076923076,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1016,"base":10},"right_expr":{"type":"numeric_atoms","value":3269,"base":10}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1333,"base":10},"right_expr":{"type":"numeric_atoms","value":1732,"base":10}}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1661,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5655,"base":10},"right_expr":{"type":"numeric_atoms","value":2129,"base":10}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4373,"base":10},"right_expr":{"type":"numeric_atoms","value":5392,"base":10}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1204,"base":10}}}}},"used_operators":["Z5m6OM72h2","I7sXao9hZE","IwW236VD4Y","Z57zeUYC9z","WYd1w68Nbz","MXaNJeIAZ3","eRqsBgTDFp","B5M0gjZbta","PPChnnnBFF","6o9Blt3TJ6","6MpZysEj17","6aG7x05OhS"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","sdazOOVcIp","W4YGzv6Whe","rGHVDoGpnC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=3269","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=3269, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1726","layer":3},{"info":"number node, value=1333","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1732, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-1726, right_input=9872, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-3452","layer":2},{"info":"number node, value=1661","layer":4},{"info":"compute unary expreesion, input=1661, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=14949","layer":3},{"info":"compute unary expreesion, input=14949, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-3452, right_input=-55, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=5655","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=5655, right_input=2129, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5655","layer":3},{"info":"number node, value=4373","layer":4},{"info":"number node, value=5392","layer":4},{"info":"compute binary expreesion, left_input=4373, right_input=5392, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4340","layer":3},{"info":"compute binary expreesion, left_input=5655, right_input=-4340, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1016≠≀⊺⇮3269)∘(⊺⇮1333⨔≚≋⊺⇮1732)⪁((↡⊺⇮1661)⋩≍≻))∘(⊺⇮5655∣⊺⇮2129↬(⊺⇮4373⫰⋱⊺⇮5392))⪒⊣⊆((⊺⇮1204⫩)⋆⋳)=NaN","reverse_text":"NaN=((⊺⇮1016≠≀⊺⇮3269)∘(⊺⇮1333⨔≚≋⊺⇮1732)⪁((↡⊺⇮1661)⋩≍≻))∘(⊺⇮5655∣⊺⇮2129↬(⊺⇮4373⫰⋱⊺⇮5392))⪒⊣⊆((⊺⇮1204⫩)⋆⋳)","cot":[{"info":"⊺⇮1016≠≀⊺⇮3269=⊺⇮-1726","layer":3},{"info":"⊺⇮1333⨔≚≋⊺⇮1732=⊺⇮9872","layer":3},{"info":"⊺⇮-1726∘⊺⇮9872=⊺⇮-3452","layer":2},{"info":"↡⊺⇮1661=⊺⇮14949","layer":3},{"info":"⊺⇮14949⋩≍≻=⊺⇮-55","layer":2},{"info":"⊺⇮-3452⪁⊺⇮-55=NaN","layer":1},{"info":"⊺⇮5655∣⊺⇮2129=⊺⇮5655","layer":3},{"info":"⊺⇮4373⫰⋱⊺⇮5392=⊺⇮-4340","layer":3},{"info":"⊺⇮5655↬⊺⇮-4340=NaN","layer":2},{"info":"⊺⇮1204⫩=NaN","layer":3},{"info":"NaN⋆⋳=NaN","layer":2},{"info":"NaN⪒⊣⊆NaN=NaN","layer":1},{"info":"NaN∘NaN=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"(($7091$≹⇙⪍$3488$≀⩗∶(⊁⨺$3880$))⫠↝⫳)∘(⇘(⨦⪝(⫯$1171$)))","expression":"((⊺⇮7091≹⇙⪍⊺⇮3488≀⩗∶(⊁⨺⊺⇮3880))⫠↝⫳)∘(⇘(⨦⪝(⫯⊺⇮1171)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3936,"operation_count":8,"complexity_ratio":492.0,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7091,"base":10},"right_expr":{"type":"numeric_atoms","value":3488,"base":10}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":3880,"base":10}}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1171,"base":10}}}}},"used_operators":["Z5m6OM72h2","8n5YIzOsVS","8INZBEW696","AHs5Up7iyr","PxiHyQbrIp","MGuIdZPyUC","SUjycxNXIR","H6BK1Evt7c"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","dWAJyo7jo9","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7091","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=7091, right_input=3488, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3880","layer":4},{"info":"compute unary expreesion, input=3880, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":1},{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-34394","layer":3},{"info":"compute unary expreesion, input=-34394, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute unary expreesion, input=-1884, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-120680785","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-120680785, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7091≹⇙⪍⊺⇮3488≀⩗∶(⊁⨺⊺⇮3880))⫠↝⫳)∘(⇘(⨦⪝(⫯⊺⇮1171)))=NaN","reverse_text":"NaN=((⊺⇮7091≹⇙⪍⊺⇮3488≀⩗∶(⊁⨺⊺⇮3880))⫠↝⫳)∘(⇘(⨦⪝(⫯⊺⇮1171)))","cot":[{"info":"⊺⇮7091≹⇙⪍⊺⇮3488=NaN","layer":3},{"info":"⊁⨺⊺⇮3880=⊺⇮160","layer":3},{"info":"NaN≀⩗∶⊺⇮160=NaN","layer":2},{"info":"NaN⫠↝⫳=NaN","layer":1},{"info":"⫯⊺⇮1171=⊺⇮-34394","layer":3},{"info":"⨦⪝⊺⇮-34394=⊺⇮-1884","layer":2},{"info":"⇘⊺⇮-1884=⊺⇮-120680785","layer":1},{"info":"NaN∘⊺⇮-120680785=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"⋼∭⪍((⊬↢($3654$⇟⨁⪰))⨒(≔$2115$)⫰⋱($2827$⋅⇍$6841$))","expression":"⋼∭⪍((⊬↢(⊺⇮3654⇟⨁⪰))⨒(≔⊺⇮2115)⫰⋱(⊺⇮2827⋅⇍⊺⇮6841))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4143,"operation_count":7,"complexity_ratio":591.8571428571429,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":3654,"base":10}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2115,"base":10}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2827,"base":10},"right_expr":{"type":"numeric_atoms","value":6841,"base":10}}}}},"used_operators":["DbCuESL50I","y75s1iXyHd","WPoGxAaPR1","BX1lVwlMe0","6o9Blt3TJ6","8FLs4eVsLt","AdZkA7nFnk"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","2DDjHMKMc0","xUOZtlo3hN","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⊺⇮-7571764","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3654","layer":4},{"info":"compute unary expreesion, input=3654, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-3828","layer":3},{"info":"compute unary expreesion, input=-3828, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":2},{"info":"number node, value=2115","layer":4},{"info":"compute unary expreesion, input=2115, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-57926","layer":3},{"info":"number node, value=2827","layer":4},{"info":"number node, value=6841","layer":4},{"info":"compute binary expreesion, left_input=2827, right_input=6841, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-57926, right_input=-22, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=57959","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=57959, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1893376","layer":1},{"info":"compute unary expreesion, input=1893376, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-7571764","layer":0}],"base":10,"result_base":10,"text":"⋼∭⪍((⊬↢(⊺⇮3654⇟⨁⪰))⨒(≔⊺⇮2115)⫰⋱(⊺⇮2827⋅⇍⊺⇮6841))=⊺⇮-7571764","reverse_text":"⊺⇮-7571764=⋼∭⪍((⊬↢(⊺⇮3654⇟⨁⪰))⨒(≔⊺⇮2115)⫰⋱(⊺⇮2827⋅⇍⊺⇮6841))","cot":[{"info":"⊺⇮3654⇟⨁⪰=⊺⇮-3828","layer":3},{"info":"⊬↢⊺⇮-3828=⊺⇮-55","layer":2},{"info":"≔⊺⇮2115=⊺⇮-57926","layer":3},{"info":"⊺⇮2827⋅⇍⊺⇮6841=⊺⇮-22","layer":3},{"info":"⊺⇮-57926⫰⋱⊺⇮-22=⊺⇮57959","layer":2},{"info":"⊺⇮-55⨒⊺⇮57959=⊺⇮1893376","layer":1},{"info":"⋼∭⪍⊺⇮1893376=⊺⇮-7571764","layer":0}]}
{"id":532,"expression_no_base_symbol":"(⇁⨣⪵(⫟$4095$∇⊂⋱$2850$))⪄(⨰⫟⨤(⇈($3445$⊴$1380$)))","expression":"(⇁⨣⪵(⫟⊺⇮4095∇⊂⋱⊺⇮2850))⪄(⨰⫟⨤(⇈(⊺⇮3445⊴⊺⇮1380)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6016,"operation_count":7,"complexity_ratio":859.4285714285714,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4095,"base":10},"right_expr":{"type":"numeric_atoms","value":2850,"base":10}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3445,"base":10},"right_expr":{"type":"numeric_atoms","value":1380,"base":10}}}}},"used_operators":["SUmda5xLS4","inkyxCbjAn","z4E1FaHLuy","nhYeJWJD5X","Tw270M8GLb","SLLxy00UIr","Nsiff2A1zJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","dWAJyo7jo9","14qkJME0vr"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4095","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=4095, right_input=2850, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=7644","layer":3},{"info":"compute unary expreesion, input=7644, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-22025","layer":2},{"info":"compute unary expreesion, input=-22025, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3445","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=3445, right_input=1380, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"(⇁⨣⪵(⫟⊺⇮4095∇⊂⋱⊺⇮2850))⪄(⨰⫟⨤(⇈(⊺⇮3445⊴⊺⇮1380)))=⊺⇮3979","reverse_text":"⊺⇮3979=(⇁⨣⪵(⫟⊺⇮4095∇⊂⋱⊺⇮2850))⪄(⨰⫟⨤(⇈(⊺⇮3445⊴⊺⇮1380)))","cot":[{"info":"⊺⇮4095∇⊂⋱⊺⇮2850=⊺⇮7644","layer":3},{"info":"⫟⊺⇮7644=⊺⇮-22025","layer":2},{"info":"⇁⨣⪵⊺⇮-22025=NaN","layer":1},{"info":"⊺⇮3445⊴⊺⇮1380=NaN","layer":3},{"info":"⇈NaN=⊺⇮-447","layer":2},{"info":"⨰⫟⨤⊺⇮-447=NaN","layer":1},{"info":"NaN⪄NaN=⊺⇮3979","layer":0}]}
{"id":533,"expression_no_base_symbol":"(($1108$⪕$2964$⪃↞⩐)⪐)⋳⪒((≪($1589$⊍⩺⋍$1155$))⫥∨⫟($2618$⊹∫⫚$6376$⋻⩜⩜$4443$⩁⩘$3748$))","expression":"((⊺⇮1108⪕⊺⇮2964⪃↞⩐)⪐)⋳⪒((≪(⊺⇮1589⊍⩺⋍⊺⇮1155))⫥∨⫟(⊺⇮2618⊹∫⫚⊺⇮6376⋻⩜⩜⊺⇮4443⩁⩘⊺⇮3748))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":798,"operation_count":10,"complexity_ratio":79.8,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1108,"base":10},"right_expr":{"type":"numeric_atoms","value":2964,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1589,"base":10},"right_expr":{"type":"numeric_atoms","value":1155,"base":10}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2618,"base":10},"right_expr":{"type":"numeric_atoms","value":6376,"base":10}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4443,"base":10},"right_expr":{"type":"numeric_atoms","value":3748,"base":10}}}}},"used_operators":["12rbrZMWeM","eH2TOUuTDT","grXIztHqDa","umQnsF7QlU","KYD54nUTWz","Qtd6bqUJcN","OXDGMFPWZM","oDCm7WA9JY","uWAJUKEvyW","gub5Cegaqo"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","8HhzD0ZcuI","rGHVDoGpnC","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=2964, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=3364921","layer":2},{"info":"compute unary expreesion, input=3364921, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6729842","layer":1},{"info":"number node, value=1589","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=1155, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"number node, value=2618","layer":4},{"info":"number node, value=6376","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=6376, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-236","layer":3},{"info":"number node, value=4443","layer":4},{"info":"number node, value=3748","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=3748, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=15940","layer":3},{"info":"compute binary expreesion, left_input=-236, right_input=15940, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2868","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=2868, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6729842, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1108⪕⊺⇮2964⪃↞⩐)⪐)⋳⪒((≪(⊺⇮1589⊍⩺⋍⊺⇮1155))⫥∨⫟(⊺⇮2618⊹∫⫚⊺⇮6376⋻⩜⩜⊺⇮4443⩁⩘⊺⇮3748))=NaN","reverse_text":"NaN=((⊺⇮1108⪕⊺⇮2964⪃↞⩐)⪐)⋳⪒((≪(⊺⇮1589⊍⩺⋍⊺⇮1155))⫥∨⫟(⊺⇮2618⊹∫⫚⊺⇮6376⋻⩜⩜⊺⇮4443⩁⩘⊺⇮3748))","cot":[{"info":"⊺⇮1108⪕⊺⇮2964=⊺⇮-55","layer":3},{"info":"⊺⇮-55⪃↞⩐=⊺⇮3364921","layer":2},{"info":"⊺⇮3364921⪐=⊺⇮6729842","layer":1},{"info":"⊺⇮1589⊍⩺⋍⊺⇮1155=NaN","layer":3},{"info":"≪NaN=⊺⇮913","layer":2},{"info":"⊺⇮2618⊹∫⫚⊺⇮6376=⊺⇮-236","layer":3},{"info":"⊺⇮4443⩁⩘⊺⇮3748=⊺⇮15940","layer":3},{"info":"⊺⇮-236⋻⩜⩜⊺⇮15940=⊺⇮2868","layer":2},{"info":"⊺⇮913⫥∨⫟⊺⇮2868=NaN","layer":1},{"info":"⊺⇮6729842⋳⪒NaN=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"(($1098$⨽$7898$)↬(∑⇻≧$1806$))⫁(($4723$⫢⨠$2129$)∌↝(↽≂$5393$))⪕(($1444$∸)⇌⫙⪟$1027$↓$3282$⊝)","expression":"((⊺⇮1098⨽⊺⇮7898)↬(∑⇻≧⊺⇮1806))⫁((⊺⇮4723⫢⨠⊺⇮2129)∌↝(↽≂⊺⇮5393))⪕((⊺⇮1444∸)⇌⫙⪟⊺⇮1027↓⊺⇮3282⊝)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":47728,"operation_count":12,"complexity_ratio":3977.3333333333335,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1098,"base":10},"right_expr":{"type":"numeric_atoms","value":7898,"base":10}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1806,"base":10}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4723,"base":10},"right_expr":{"type":"numeric_atoms","value":2129,"base":10}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5393,"base":10}}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1444,"base":10}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1027,"base":10},"right_expr":{"type":"numeric_atoms","value":3282,"base":10}}}}},"used_operators":["umQnsF7QlU","0ajvFaJAv0","B5M0gjZbta","8HhzD0ZcuI","l1M9WJ3V7u","9Isq31Ruls","xlXykHWxX1","u6S6b8DprG","O6EZ0fifGK","AFVx7xoS7T","o20kRiQErp","Af076pWI7l"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","cHh1gJQ2o6","AHs5Up7iyr","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","tmPS8pqC7x","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⊺⇮1108","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"number node, value=7898","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=7898, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3639192","layer":3},{"info":"number node, value=1806","layer":4},{"info":"compute unary expreesion, input=1806, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=-3639192, right_input=-852, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4723","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=4723, right_input=2129, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=5393","layer":4},{"info":"compute unary expreesion, input=5393, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10786","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-10786, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=320, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=1444","layer":4},{"info":"compute unary expreesion, input=1444, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=3282, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-134, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=113, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1108","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1098⨽⊺⇮7898)↬(∑⇻≧⊺⇮1806))⫁((⊺⇮4723⫢⨠⊺⇮2129)∌↝(↽≂⊺⇮5393))⪕((⊺⇮1444∸)⇌⫙⪟⊺⇮1027↓⊺⇮3282⊝)=⊺⇮1108","reverse_text":"⊺⇮1108=((⊺⇮1098⨽⊺⇮7898)↬(∑⇻≧⊺⇮1806))⫁((⊺⇮4723⫢⨠⊺⇮2129)∌↝(↽≂⊺⇮5393))⪕((⊺⇮1444∸)⇌⫙⪟⊺⇮1027↓⊺⇮3282⊝)","cot":[{"info":"⊺⇮1098⨽⊺⇮7898=⊺⇮-3639192","layer":3},{"info":"∑⇻≧⊺⇮1806=⊺⇮-852","layer":3},{"info":"⊺⇮-3639192↬⊺⇮-852=NaN","layer":2},{"info":"⊺⇮4723⫢⨠⊺⇮2129=⊺⇮160","layer":3},{"info":"↽≂⊺⇮5393=⊺⇮-10786","layer":3},{"info":"⊺⇮160∌↝⊺⇮-10786=⊺⇮320","layer":2},{"info":"NaN⫁⊺⇮320=⊺⇮160","layer":1},{"info":"⊺⇮1444∸=⊺⇮177","layer":3},{"info":"⊺⇮1027↓⊺⇮3282=⊺⇮-134","layer":3},{"info":"⊺⇮177⇌⫙⪟⊺⇮-134=⊺⇮113","layer":2},{"info":"⊺⇮113⊝=⊺⇮113","layer":1},{"info":"⊺⇮160⪕⊺⇮113=⊺⇮1108","layer":0}]}
{"id":535,"expression_no_base_symbol":"(⫓⪴(⨮↦↱$6419$)⊱⇼⊻$3471$⊱⇼⊻$6189$)⪠⩆⊳","expression":"(⫓⪴(⨮↦↱⊺⇮6419)⊱⇼⊻⊺⇮3471⊱⇼⊻⊺⇮6189)⪠⩆⊳","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":421617397,"operation_count":5,"complexity_ratio":84323479.4,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":6419,"base":10}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3471,"base":10},"right_expr":{"type":"numeric_atoms","value":6189,"base":10}}}}},"used_operators":["JLbD19bQDL","eLxqMNBOBk","FyVja0WsTP","sYcpBQ0cFf"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6419","layer":4},{"info":"compute unary expreesion, input=6419, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-105403551","layer":3},{"info":"number node, value=3471","layer":4},{"info":"number node, value=6189","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=6189, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-105403551, right_input=434, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-421611402","layer":2},{"info":"compute unary expreesion, input=-421611402, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫓⪴(⨮↦↱⊺⇮6419)⊱⇼⊻⊺⇮3471⊱⇼⊻⊺⇮6189)⪠⩆⊳=NaN","reverse_text":"NaN=(⫓⪴(⨮↦↱⊺⇮6419)⊱⇼⊻⊺⇮3471⊱⇼⊻⊺⇮6189)⪠⩆⊳","cot":[{"info":"⨮↦↱⊺⇮6419=⊺⇮-105403551","layer":3},{"info":"⊺⇮3471⊱⇼⊻⊺⇮6189=⊺⇮434","layer":3},{"info":"⊺⇮-105403551⊱⇼⊻⊺⇮434=⊺⇮-421611402","layer":2},{"info":"⫓⪴⊺⇮-421611402=Inf","layer":1},{"info":"Inf⪠⩆⊳=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"≦∁((⇵⪽$5909$)∥⊢⊲($1641$≧⫂∧$1448$)⫚⫇)","expression":"≦∁((⇵⪽⊺⇮5909)∥⊢⊲(⊺⇮1641≧⫂∧⊺⇮1448)⫚⫇)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13,"operation_count":5,"complexity_ratio":2.6,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":5909,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1641,"base":10},"right_expr":{"type":"numeric_atoms","value":1448,"base":10}}}}},"used_operators":["9ICcGScMcE","SdCjLnB6rR","v1UQAVDJRr","ZGCBLdVRRX","Ph9nP6C5qx"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","EBcxylXtPf","rGHVDoGpnC","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮482","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=5909","layer":4},{"info":"compute unary expreesion, input=5909, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1641","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=1448, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=975","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=975, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=975","layer":2},{"info":"compute unary expreesion, input=975, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=482","layer":1},{"info":"compute unary expreesion, input=482, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=482","layer":0}],"base":10,"result_base":10,"text":"≦∁((⇵⪽⊺⇮5909)∥⊢⊲(⊺⇮1641≧⫂∧⊺⇮1448)⫚⫇)=⊺⇮482","reverse_text":"⊺⇮482=≦∁((⇵⪽⊺⇮5909)∥⊢⊲(⊺⇮1641≧⫂∧⊺⇮1448)⫚⫇)","cot":[{"info":"⇵⪽⊺⇮5909=NaN","layer":3},{"info":"⊺⇮1641≧⫂∧⊺⇮1448=⊺⇮975","layer":3},{"info":"NaN∥⊢⊲⊺⇮975=⊺⇮975","layer":2},{"info":"⊺⇮975⫚⫇=⊺⇮482","layer":1},{"info":"≦∁⊺⇮482=⊺⇮482","layer":0}]}
{"id":537,"expression_no_base_symbol":"∂⩏⊆(⨡↴$1023$≒∊$1616$⩚⊴⇥$5496$≴⪞⇿$2230$)","expression":"∂⩏⊆(⨡↴⊺⇮1023≒∊⊺⇮1616⩚⊴⇥⊺⇮5496≴⪞⇿⊺⇮2230)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5273,"operation_count":5,"complexity_ratio":1054.6,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1023,"base":10},"right_expr":{"type":"numeric_atoms","value":1616,"base":10}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5496,"base":10},"right_expr":{"type":"numeric_atoms","value":2230,"base":10}}}}},"used_operators":["8WDwsbhb0R","liw5iZPkLH","NTOWxs364D","5KTvxBwnZo","lvlrscuwVU"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","W4YGzv6Whe","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"⊺⇮539","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1023","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=1616, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-539","layer":3},{"info":"number node, value=5496","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=2230, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=54559692","layer":3},{"info":"compute binary expreesion, left_input=-539, right_input=54559692, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-54559274","layer":2},{"info":"compute unary expreesion, input=-54559274, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=539","layer":0}],"base":10,"result_base":10,"text":"∂⩏⊆(⨡↴⊺⇮1023≒∊⊺⇮1616⩚⊴⇥⊺⇮5496≴⪞⇿⊺⇮2230)=⊺⇮539","reverse_text":"⊺⇮539=∂⩏⊆(⨡↴⊺⇮1023≒∊⊺⇮1616⩚⊴⇥⊺⇮5496≴⪞⇿⊺⇮2230)","cot":[{"info":"⊺⇮1023≒∊⊺⇮1616=⊺⇮-539","layer":3},{"info":"⊺⇮5496≴⪞⇿⊺⇮2230=⊺⇮54559692","layer":3},{"info":"⊺⇮-539⩚⊴⇥⊺⇮54559692=⊺⇮-54559274","layer":2},{"info":"⨡↴⊺⇮-54559274=⊺⇮-55","layer":1},{"info":"∂⩏⊆⊺⇮-55=⊺⇮539","layer":0}]}
{"id":538,"expression_no_base_symbol":"(⇉-⫰(⊬↢$9228$⨔⇊$2256$))⊬⫿⊭","expression":"(⇉-⫰(⊬↢⊺⇮9228⨔⇊⊺⇮2256))⊬⫿⊭","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2335,"operation_count":4,"complexity_ratio":583.75,"tree":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":9228,"base":10},"right_expr":{"type":"numeric_atoms","value":2256,"base":10}}}}},"used_operators":["v0DYgG9ikt","IGFM8TAlm9","WPoGxAaPR1","JclMnS0uGI"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eH2TOUuTDT","eewbuw0ToL","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⊺⇮192","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9228","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=9228, right_input=2256, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2256","layer":3},{"info":"compute unary expreesion, input=2256, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute unary expreesion, input=218, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute unary expreesion, input=20, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=192","layer":0}],"base":10,"result_base":10,"text":"(⇉-⫰(⊬↢⊺⇮9228⨔⇊⊺⇮2256))⊬⫿⊭=⊺⇮192","reverse_text":"⊺⇮192=(⇉-⫰(⊬↢⊺⇮9228⨔⇊⊺⇮2256))⊬⫿⊭","cot":[{"info":"⊺⇮9228⨔⇊⊺⇮2256=⊺⇮2256","layer":3},{"info":"⊬↢⊺⇮2256=⊺⇮218","layer":2},{"info":"⇉-⫰⊺⇮218=⊺⇮20","layer":1},{"info":"⊺⇮20⊬⫿⊭=⊺⇮192","layer":0}]}
{"id":539,"expression_no_base_symbol":"↞≼($4182$⊕∕$7084$⫣⪄⊒($1660$*$1319$)⪭($1334$⪎↠$1969$⩨($5983$⪁$2426$)))","expression":"↞≼(⊺⇮4182⊕∕⊺⇮7084⫣⪄⊒(⊺⇮1660*⊺⇮1319)⪭(⊺⇮1334⪎↠⊺⇮1969⩨(⊺⇮5983⪁⊺⇮2426)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":71305226,"operation_count":8,"complexity_ratio":8913153.25,"tree":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4182,"base":10},"right_expr":{"type":"numeric_atoms","value":7084,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1660,"base":10},"right_expr":{"type":"numeric_atoms","value":1319,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1334,"base":10},"right_expr":{"type":"numeric_atoms","value":1969,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5983,"base":10},"right_expr":{"type":"numeric_atoms","value":2426,"base":10}}}}},"used_operators":["DE7zCoGJt9","j9kHMeSvPp","RabNbG55vr","9cloC0Ngie","9HNa5Wba9A","2DlMacCsIx","3tVxb0NHM4","I7sXao9hZE"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","COABgblf1C","xUOZtlo3hN","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⊺⇮105033298","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4182","layer":4},{"info":"number node, value=7084","layer":4},{"info":"compute binary expreesion, left_input=4182, right_input=7084, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4182","layer":3},{"info":"number node, value=1660","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=1319, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2189540","layer":3},{"info":"compute binary expreesion, left_input=4182, right_input=2189540, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-13129388","layer":2},{"info":"number node, value=1334","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=1969, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=5983","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=5983, right_input=2426, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13129388, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=13129214","layer":1},{"info":"compute unary expreesion, input=13129214, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=105033298","layer":0}],"base":10,"result_base":10,"text":"↞≼(⊺⇮4182⊕∕⊺⇮7084⫣⪄⊒(⊺⇮1660*⊺⇮1319)⪭(⊺⇮1334⪎↠⊺⇮1969⩨(⊺⇮5983⪁⊺⇮2426)))=⊺⇮105033298","reverse_text":"⊺⇮105033298=↞≼(⊺⇮4182⊕∕⊺⇮7084⫣⪄⊒(⊺⇮1660*⊺⇮1319)⪭(⊺⇮1334⪎↠⊺⇮1969⩨(⊺⇮5983⪁⊺⇮2426)))","cot":[{"info":"⊺⇮4182⊕∕⊺⇮7084=⊺⇮4182","layer":3},{"info":"⊺⇮1660*⊺⇮1319=⊺⇮2189540","layer":3},{"info":"⊺⇮4182⫣⪄⊒⊺⇮2189540=⊺⇮-13129388","layer":2},{"info":"⊺⇮1334⪎↠⊺⇮1969=⊺⇮160","layer":3},{"info":"⊺⇮5983⪁⊺⇮2426=NaN","layer":3},{"info":"⊺⇮160⩨NaN=NaN","layer":2},{"info":"⊺⇮-13129388⪭NaN=⊺⇮13129214","layer":1},{"info":"↞≼⊺⇮13129214=⊺⇮105033298","layer":0}]}
{"id":540,"expression_no_base_symbol":"⊀((⊈$6548$⇤$4519$)⊾⪯⋞$1317$≦↸$1574$≧⫂∧$3119$∓⋝$3746$)","expression":"⊀((⊈⊺⇮6548⇤⊺⇮4519)⊾⪯⋞⊺⇮1317≦↸⊺⇮1574≧⫂∧⊺⇮3119∓⋝⊺⇮3746)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":151,"operation_count":7,"complexity_ratio":21.571428571428573,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6548,"base":10},"right_expr":{"type":"numeric_atoms","value":4519,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1317,"base":10},"right_expr":{"type":"numeric_atoms","value":1574,"base":10}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3119,"base":10},"right_expr":{"type":"numeric_atoms","value":3746,"base":10}}}}},"used_operators":["oPMjh9089D","HK0tfVPux8","RHru8klgy8","YSKBFp38Pu","Ph9nP6C5qx","RygbFNSyEJ","PoHhknlbAi"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","12rbrZMWeM","xUOZtlo3hN","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⊺⇮13083","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6548","layer":4},{"info":"number node, value=4519","layer":4},{"info":"compute binary expreesion, left_input=6548, right_input=4519, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-52487","layer":3},{"info":"compute unary expreesion, input=-52487, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=52313","layer":2},{"info":"number node, value=1317","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1574, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5101","layer":3},{"info":"number node, value=3119","layer":4},{"info":"number node, value=3746","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=3746, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-5101, right_input=67, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-406","layer":2},{"info":"compute binary expreesion, left_input=52313, right_input=-406, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":1},{"info":"compute unary expreesion, input=-820, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=13083","layer":0}],"base":10,"result_base":10,"text":"⊀((⊈⊺⇮6548⇤⊺⇮4519)⊾⪯⋞⊺⇮1317≦↸⊺⇮1574≧⫂∧⊺⇮3119∓⋝⊺⇮3746)=⊺⇮13083","reverse_text":"⊺⇮13083=⊀((⊈⊺⇮6548⇤⊺⇮4519)⊾⪯⋞⊺⇮1317≦↸⊺⇮1574≧⫂∧⊺⇮3119∓⋝⊺⇮3746)","cot":[{"info":"⊺⇮6548⇤⊺⇮4519=⊺⇮-52487","layer":3},{"info":"⊈⊺⇮-52487=⊺⇮52313","layer":2},{"info":"⊺⇮1317≦↸⊺⇮1574=⊺⇮-5101","layer":3},{"info":"⊺⇮3119∓⋝⊺⇮3746=⊺⇮67","layer":3},{"info":"⊺⇮-5101≧⫂∧⊺⇮67=⊺⇮-406","layer":2},{"info":"⊺⇮52313⊾⪯⋞⊺⇮-406=⊺⇮-820","layer":1},{"info":"⊀⊺⇮-820=⊺⇮13083","layer":0}]}
{"id":541,"expression_no_base_symbol":"⨵($4769$⩍⋽⫝̸$1177$∷($5387$⊭∹↮))⇡⇂((↡$2131$)⪄$4960$⨰$3231$)","expression":"⨵(⊺⇮4769⩍⋽⫝̸⊺⇮1177∷(⊺⇮5387⊭∹↮))⇡⇂((↡⊺⇮2131)⪄⊺⇮4960⨰⊺⇮3231)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5684528,"operation_count":8,"complexity_ratio":710566.0,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4769,"base":10},"right_expr":{"type":"numeric_atoms","value":1177,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5387,"base":10}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2131,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4960,"base":10},"right_expr":{"type":"numeric_atoms","value":3231,"base":10}}}}},"used_operators":["Tl3Y52tvF8","UMwdvZNt44","D3AQDKkPcf","BiWNJpBvwn","xNBdhnnwKq","SUmda5xLS4","MXaNJeIAZ3","eewbuw0ToL"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Ph9nP6C5qx","xUOZtlo3hN","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4769","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=1177, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=231","layer":3},{"info":"number node, value=5387","layer":4},{"info":"compute unary expreesion, input=5387, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10774","layer":3},{"info":"compute binary expreesion, left_input=231, right_input=10774, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=10774","layer":2},{"info":"number node, value=2131","layer":4},{"info":"compute unary expreesion, input=2131, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=19179","layer":3},{"info":"number node, value=4960","layer":4},{"info":"number node, value=3231","layer":4},{"info":"compute binary expreesion, left_input=4960, right_input=3231, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1739","layer":3},{"info":"compute binary expreesion, left_input=19179, right_input=1739, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2841537","layer":2},{"info":"compute binary expreesion, left_input=10774, right_input=-2841537, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨵(⊺⇮4769⩍⋽⫝̸⊺⇮1177∷(⊺⇮5387⊭∹↮))⇡⇂((↡⊺⇮2131)⪄⊺⇮4960⨰⊺⇮3231)=NaN","reverse_text":"NaN=⨵(⊺⇮4769⩍⋽⫝̸⊺⇮1177∷(⊺⇮5387⊭∹↮))⇡⇂((↡⊺⇮2131)⪄⊺⇮4960⨰⊺⇮3231)","cot":[{"info":"⊺⇮4769⩍⋽⫝̸⊺⇮1177=⊺⇮231","layer":3},{"info":"⊺⇮5387⊭∹↮=⊺⇮10774","layer":3},{"info":"⊺⇮231∷⊺⇮10774=⊺⇮10774","layer":2},{"info":"↡⊺⇮2131=⊺⇮19179","layer":3},{"info":"⊺⇮4960⨰⊺⇮3231=⊺⇮1739","layer":3},{"info":"⊺⇮19179⪄⊺⇮1739=⊺⇮-2841537","layer":2},{"info":"⊺⇮10774⇡⇂⊺⇮-2841537=NaN","layer":1},{"info":"⨵NaN=NaN","layer":0}]}
{"id":542,"expression_no_base_symbol":"(⊙↵-($3935$≬⇓$7126$)⫁$1948$⫗⊷⫓$7212$)⇼⇔∾($3568$∝$2218$)⫯⪬∳(∐⩳⋚$8312$)↺(≇⪴$1440$)⊱⇼⊻($7938$∽$8154$)","expression":"(⊙↵-(⊺⇮3935≬⇓⊺⇮7126)⫁⊺⇮1948⫗⊷⫓⊺⇮7212)⇼⇔∾(⊺⇮3568∝⊺⇮2218)⫯⪬∳(∐⩳⋚⊺⇮8312)↺(≇⪴⊺⇮1440)⊱⇼⊻(⊺⇮7938∽⊺⇮8154)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1157,"operation_count":12,"complexity_ratio":96.41666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3935,"base":10},"right_expr":{"type":"numeric_atoms","value":7126,"base":10}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1948,"base":10},"right_expr":{"type":"numeric_atoms","value":7212,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3568,"base":10},"right_expr":{"type":"numeric_atoms","value":2218,"base":10}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":8312,"base":10}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1440,"base":10}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":7938,"base":10},"right_expr":{"type":"numeric_atoms","value":8154,"base":10}}}}},"used_operators":["tifHPKVTfV","oWn0xqSxBt","0ajvFaJAv0","jWTQ2TZYIH","zashukvMKz","7j4O788W3g","d7ASUq0ydm","cTDWOvIxvz","SL6IHkK8vl","FyVja0WsTP","zoVPnxeHJ3","y4ImoPnbV5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","cHh1gJQ2o6","AHs5Up7iyr","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","7j4O788W3g","W4YGzv6Whe","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","NTOWxs364D","QMFrweE19q"],"result":"⊺⇮-9118","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3935","layer":4},{"info":"number node, value=7126","layer":4},{"info":"compute binary expreesion, left_input=3935, right_input=7126, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1948","layer":4},{"info":"number node, value=7212","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=7212, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-134, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=3568","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=3568, right_input=2218, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3573","layer":3},{"info":"number node, value=8312","layer":4},{"info":"compute unary expreesion, input=8312, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=1236729","layer":3},{"info":"compute binary expreesion, left_input=3573, right_input=1236729, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-1218831","layer":2},{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2980","layer":3},{"info":"number node, value=7938","layer":4},{"info":"number node, value=8154","layer":4},{"info":"compute binary expreesion, left_input=7938, right_input=8154, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-63974","layer":3},{"info":"compute binary expreesion, left_input=-2980, right_input=-63974, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-9118","layer":2},{"info":"compute binary expreesion, left_input=-1218831, right_input=-9118, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-9118","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-9118, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-9118","layer":0}],"base":10,"result_base":10,"text":"(⊙↵-(⊺⇮3935≬⇓⊺⇮7126)⫁⊺⇮1948⫗⊷⫓⊺⇮7212)⇼⇔∾(⊺⇮3568∝⊺⇮2218)⫯⪬∳(∐⩳⋚⊺⇮8312)↺(≇⪴⊺⇮1440)⊱⇼⊻(⊺⇮7938∽⊺⇮8154)=⊺⇮-9118","reverse_text":"⊺⇮-9118=(⊙↵-(⊺⇮3935≬⇓⊺⇮7126)⫁⊺⇮1948⫗⊷⫓⊺⇮7212)⇼⇔∾(⊺⇮3568∝⊺⇮2218)⫯⪬∳(∐⩳⋚⊺⇮8312)↺(≇⪴⊺⇮1440)⊱⇼⊻(⊺⇮7938∽⊺⇮8154)","cot":[{"info":"⊺⇮3935≬⇓⊺⇮7126=⊺⇮-22","layer":3},{"info":"⊺⇮1948⫗⊷⫓⊺⇮7212=⊺⇮-134","layer":3},{"info":"⊺⇮-22⫁⊺⇮-134=⊺⇮160","layer":2},{"info":"⊙↵-⊺⇮160=⊺⇮0","layer":1},{"info":"⊺⇮3568∝⊺⇮2218=⊺⇮3573","layer":3},{"info":"∐⩳⋚⊺⇮8312=⊺⇮1236729","layer":3},{"info":"⊺⇮3573⫯⪬∳⊺⇮1236729=⊺⇮-1218831","layer":2},{"info":"≇⪴⊺⇮1440=⊺⇮-2980","layer":3},{"info":"⊺⇮7938∽⊺⇮8154=⊺⇮-63974","layer":3},{"info":"⊺⇮-2980⊱⇼⊻⊺⇮-63974=⊺⇮-9118","layer":2},{"info":"⊺⇮-1218831↺⊺⇮-9118=⊺⇮-9118","layer":1},{"info":"⊺⇮0⇼⇔∾⊺⇮-9118=⊺⇮-9118","layer":0}]}
{"id":543,"expression_no_base_symbol":"((⨩∲⋌($5187$∘$1361$))-(($1590$⇴∐$7388$)⪷))⇽⩪","expression":"((⨩∲⋌(⊺⇮5187∘⊺⇮1361))-((⊺⇮1590⇴∐⊺⇮7388)⪷))⇽⩪","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":63,"operation_count":6,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5187,"base":10},"right_expr":{"type":"numeric_atoms","value":1361,"base":10}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1590,"base":10},"right_expr":{"type":"numeric_atoms","value":7388,"base":10}}}}},"used_operators":["FonBHBYJbU","rysDP5nf3Z","aSik1wnThz","Z5m6OM72h2","Qctrpi3WzA","HnzytWxmAO"],"dependent_operators":["W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","eH2TOUuTDT","rysDP5nf3Z","Nsiff2A1zJ","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5187","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=5187, right_input=1361, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=10374","layer":3},{"info":"compute unary expreesion, input=10374, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-10897","layer":2},{"info":"number node, value=1590","layer":4},{"info":"number node, value=7388","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=7388, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10897, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨩∲⋌(⊺⇮5187∘⊺⇮1361))-((⊺⇮1590⇴∐⊺⇮7388)⪷))⇽⩪=NaN","reverse_text":"NaN=((⨩∲⋌(⊺⇮5187∘⊺⇮1361))-((⊺⇮1590⇴∐⊺⇮7388)⪷))⇽⩪","cot":[{"info":"⊺⇮5187∘⊺⇮1361=⊺⇮10374","layer":3},{"info":"⨩∲⋌⊺⇮10374=⊺⇮-10897","layer":2},{"info":"⊺⇮1590⇴∐⊺⇮7388=NaN","layer":3},{"info":"NaN⪷=NaN","layer":2},{"info":"⊺⇮-10897-NaN=NaN","layer":1},{"info":"NaN⇽⩪=NaN","layer":0}]}
{"id":544,"expression_no_base_symbol":"(≦∁($2441$⇼⇔∾$8025$)⊬⨰$1919$∌$1347$)⊮⊟↴((($6917$⊘)⨭⪣$1245$∺≝⩲$1940$)+⪬∐(($3517$⊭↱$1589$)⨓($1690$⇩)))","expression":"(≦∁(⊺⇮2441⇼⇔∾⊺⇮8025)⊬⨰⊺⇮1919∌⊺⇮1347)⊮⊟↴(((⊺⇮6917⊘)⨭⪣⊺⇮1245∺≝⩲⊺⇮1940)+⪬∐((⊺⇮3517⊭↱⊺⇮1589)⨓(⊺⇮1690⇩)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1950,"operation_count":12,"complexity_ratio":162.5,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2441,"base":10},"right_expr":{"type":"numeric_atoms","value":8025,"base":10}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1919,"base":10},"right_expr":{"type":"numeric_atoms","value":1347,"base":10}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6917,"base":10}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1245,"base":10},"right_expr":{"type":"numeric_atoms","value":1940,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3517,"base":10},"right_expr":{"type":"numeric_atoms","value":1589,"base":10}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1690,"base":10}}}}},"used_operators":["QDVgd2eftb","9ICcGScMcE","s3Fd5m9Dh2","tifHPKVTfV","8cLx32lpNA","2GS7woTJqF","kn8WO9XteQ","gu96TGCTMs","KPf6cnQVty","3ViojmjbAp","COABgblf1C","vRio1gEz1j"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2441","layer":4},{"info":"number node, value=8025","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=8025, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5584","layer":3},{"info":"number node, value=1919","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=1347, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1347","layer":3},{"info":"compute binary expreesion, left_input=5584, right_input=-1347, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-860","layer":2},{"info":"compute unary expreesion, input=-860, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"number node, value=6917","layer":4},{"info":"compute unary expreesion, input=6917, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=1940, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":2},{"info":"number node, value=3517","layer":4},{"info":"number node, value=1589","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=1589, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3851","layer":3},{"info":"number node, value=1690","layer":4},{"info":"compute unary expreesion, input=1690, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1783","layer":3},{"info":"compute binary expreesion, left_input=-3851, right_input=1783, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1786","layer":2},{"info":"compute binary expreesion, left_input=-322, right_input=-1786, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=966","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=966, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(≦∁(⊺⇮2441⇼⇔∾⊺⇮8025)⊬⨰⊺⇮1919∌⊺⇮1347)⊮⊟↴(((⊺⇮6917⊘)⨭⪣⊺⇮1245∺≝⩲⊺⇮1940)+⪬∐((⊺⇮3517⊭↱⊺⇮1589)⨓(⊺⇮1690⇩)))=⊺⇮0","reverse_text":"⊺⇮0=(≦∁(⊺⇮2441⇼⇔∾⊺⇮8025)⊬⨰⊺⇮1919∌⊺⇮1347)⊮⊟↴(((⊺⇮6917⊘)⨭⪣⊺⇮1245∺≝⩲⊺⇮1940)+⪬∐((⊺⇮3517⊭↱⊺⇮1589)⨓(⊺⇮1690⇩)))","cot":[{"info":"⊺⇮2441⇼⇔∾⊺⇮8025=⊺⇮5584","layer":3},{"info":"⊺⇮1919∌⊺⇮1347=⊺⇮-1347","layer":3},{"info":"⊺⇮5584⊬⨰⊺⇮-1347=⊺⇮-860","layer":2},{"info":"≦∁⊺⇮-860=⊺⇮67","layer":1},{"info":"⊺⇮6917⊘=⊺⇮0","layer":3},{"info":"⊺⇮1245∺≝⩲⊺⇮1940=⊺⇮160","layer":3},{"info":"⊺⇮0⨭⪣⊺⇮160=⊺⇮-322","layer":2},{"info":"⊺⇮3517⊭↱⊺⇮1589=⊺⇮-3851","layer":3},{"info":"⊺⇮1690⇩=⊺⇮1783","layer":3},{"info":"⊺⇮-3851⨓⊺⇮1783=⊺⇮-1786","layer":2},{"info":"⊺⇮-322+⪬∐⊺⇮-1786=⊺⇮966","layer":1},{"info":"⊺⇮67⊮⊟↴⊺⇮966=⊺⇮0","layer":0}]}
{"id":545,"expression_no_base_symbol":"(((≑⋹$1186$)⇪⋭)∵≐)⫒⫫(≋($3682$≹⇙⪍$1038$)⨂≜($2128$⪚$5790$))","expression":"(((≑⋹⊺⇮1186)⇪⋭)∵≐)⫒⫫(≋(⊺⇮3682≹⇙⪍⊺⇮1038)⨂≜(⊺⇮2128⪚⊺⇮5790))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":211,"operation_count":8,"complexity_ratio":26.375,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1186,"base":10}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3682,"base":10},"right_expr":{"type":"numeric_atoms","value":1038,"base":10}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2128,"base":10},"right_expr":{"type":"numeric_atoms","value":5790,"base":10}}}}},"used_operators":["6Ko8hGgeMq","59igzFyhWz","Z8Yg6dlDSp","6B9nyZLogK","61wBmkZwlr","k1SHOSEABc","AHs5Up7iyr","HrjLwUk87U"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","7j4O788W3g","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","dWAJyo7jo9","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"compute unary expreesion, input=1186, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=nan","layer":1},{"info":"number node, value=3682","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=1038, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2128","layer":4},{"info":"number node, value=5790","layer":4},{"info":"compute binary expreesion, left_input=2128, right_input=5790, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-7680","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7680, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((≑⋹⊺⇮1186)⇪⋭)∵≐)⫒⫫(≋(⊺⇮3682≹⇙⪍⊺⇮1038)⨂≜(⊺⇮2128⪚⊺⇮5790))=NaN","reverse_text":"NaN=(((≑⋹⊺⇮1186)⇪⋭)∵≐)⫒⫫(≋(⊺⇮3682≹⇙⪍⊺⇮1038)⨂≜(⊺⇮2128⪚⊺⇮5790))","cot":[{"info":"≑⋹⊺⇮1186=⊺⇮1650","layer":3},{"info":"⊺⇮1650⇪⋭=NaN","layer":2},{"info":"NaN∵≐=NaN","layer":1},{"info":"⊺⇮3682≹⇙⪍⊺⇮1038=NaN","layer":3},{"info":"⊺⇮2128⪚⊺⇮5790=⊺⇮-7680","layer":3},{"info":"NaN⨂≜⊺⇮-7680=NaN","layer":2},{"info":"≋NaN=NaN","layer":1},{"info":"NaN⫒⫫NaN=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"(($2313$⇟⨁⪰)⩒⫫($4190$≃$2092$))⩣⫁∢(⇈($5209$+⪬∐$3195$))⫥∨⫟(≋$2468$≦↸$2104$⩣⫁∢($3002$⪚$5504$))","expression":"((⊺⇮2313⇟⨁⪰)⩒⫫(⊺⇮4190≃⊺⇮2092))⩣⫁∢(⇈(⊺⇮5209+⪬∐⊺⇮3195))⫥∨⫟(≋⊺⇮2468≦↸⊺⇮2104⩣⫁∢(⊺⇮3002⪚⊺⇮5504))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1304,"operation_count":11,"complexity_ratio":118.54545454545455,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":2313,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4190,"base":10},"right_expr":{"type":"numeric_atoms","value":2092,"base":10}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5209,"base":10},"right_expr":{"type":"numeric_atoms","value":3195,"base":10}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2468,"base":10},"right_expr":{"type":"numeric_atoms","value":2104,"base":10}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3002,"base":10},"right_expr":{"type":"numeric_atoms","value":5504,"base":10}}}}},"used_operators":["KYD54nUTWz","JDUIKTTSIa","KFSx94NKJn","BX1lVwlMe0","YbVcJGFEVW","SLLxy00UIr","2GS7woTJqF","61wBmkZwlr","RygbFNSyEJ","HrjLwUk87U"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","g55IO6H4Gj","D4vGDi5EA2","7j4O788W3g","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2313","layer":4},{"info":"compute unary expreesion, input=2313, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-2487","layer":3},{"info":"number node, value=4190","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=4190, right_input=2092, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-16800","layer":3},{"info":"compute binary expreesion, left_input=-2487, right_input=-16800, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=5209","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=3195, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-15627","layer":3},{"info":"compute unary expreesion, input=-15627, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-159","layer":1},{"info":"number node, value=2468","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=2468, right_input=2104, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8463","layer":3},{"info":"number node, value=3002","layer":4},{"info":"number node, value=5504","layer":4},{"info":"compute binary expreesion, left_input=3002, right_input=5504, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5360","layer":3},{"info":"compute binary expreesion, left_input=-8463, right_input=-5360, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=34417","layer":2},{"info":"compute unary expreesion, input=34417, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=34417","layer":1},{"info":"compute binary expreesion, left_input=-159, right_input=34417, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2313⇟⨁⪰)⩒⫫(⊺⇮4190≃⊺⇮2092))⩣⫁∢(⇈(⊺⇮5209+⪬∐⊺⇮3195))⫥∨⫟(≋⊺⇮2468≦↸⊺⇮2104⩣⫁∢(⊺⇮3002⪚⊺⇮5504))=NaN","reverse_text":"NaN=((⊺⇮2313⇟⨁⪰)⩒⫫(⊺⇮4190≃⊺⇮2092))⩣⫁∢(⇈(⊺⇮5209+⪬∐⊺⇮3195))⫥∨⫟(≋⊺⇮2468≦↸⊺⇮2104⩣⫁∢(⊺⇮3002⪚⊺⇮5504))","cot":[{"info":"⊺⇮2313⇟⨁⪰=⊺⇮-2487","layer":3},{"info":"⊺⇮4190≃⊺⇮2092=⊺⇮-16800","layer":3},{"info":"⊺⇮-2487⩒⫫⊺⇮-16800=⊺⇮160","layer":2},{"info":"⊺⇮5209+⪬∐⊺⇮3195=⊺⇮-15627","layer":3},{"info":"⇈⊺⇮-15627=⊺⇮-447","layer":2},{"info":"⊺⇮160⩣⫁∢⊺⇮-447=⊺⇮-159","layer":1},{"info":"⊺⇮2468≦↸⊺⇮2104=⊺⇮-8463","layer":3},{"info":"⊺⇮3002⪚⊺⇮5504=⊺⇮-5360","layer":3},{"info":"⊺⇮-8463⩣⫁∢⊺⇮-5360=⊺⇮34417","layer":2},{"info":"≋⊺⇮34417=⊺⇮34417","layer":1},{"info":"⊺⇮-159⫥∨⫟⊺⇮34417=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"⨂⪏⇭(($5261$≴⪞⇿$1405$)≌(∥⊫$1344$)⩺⪪($7882$⊝⪿⪼$2397$)≎⪠($3603$≦≮≮))","expression":"⨂⪏⇭((⊺⇮5261≴⪞⇿⊺⇮1405)≌(∥⊫⊺⇮1344)⩺⪪(⊺⇮7882⊝⪿⪼⊺⇮2397)≎⪠(⊺⇮3603≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26641,"operation_count":8,"complexity_ratio":3330.125,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5261,"base":10},"right_expr":{"type":"numeric_atoms","value":1405,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1344,"base":10}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":7882,"base":10},"right_expr":{"type":"numeric_atoms","value":2397,"base":10}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3603,"base":10}}}}},"used_operators":["AYdpE9sXAk","uvdQJvN4PV","lyWz822IDG","lvlrscuwVU","P8v4zCKN1o","aNhz54LH3e","3Oe9XWJUTD","D4vGDi5EA2"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5261","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=5261, right_input=1405, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=49760522","layer":3},{"info":"number node, value=1344","layer":4},{"info":"compute unary expreesion, input=1344, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2212","layer":3},{"info":"compute binary expreesion, left_input=49760522, right_input=2212, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=7882","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=7882, right_input=2397, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=107516","layer":3},{"info":"number node, value=3603","layer":4},{"info":"compute unary expreesion, input=3603, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10809","layer":3},{"info":"compute binary expreesion, left_input=107516, right_input=-10809, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨂⪏⇭((⊺⇮5261≴⪞⇿⊺⇮1405)≌(∥⊫⊺⇮1344)⩺⪪(⊺⇮7882⊝⪿⪼⊺⇮2397)≎⪠(⊺⇮3603≦≮≮))=NaN","reverse_text":"NaN=⨂⪏⇭((⊺⇮5261≴⪞⇿⊺⇮1405)≌(∥⊫⊺⇮1344)⩺⪪(⊺⇮7882⊝⪿⪼⊺⇮2397)≎⪠(⊺⇮3603≦≮≮))","cot":[{"info":"⊺⇮5261≴⪞⇿⊺⇮1405=⊺⇮49760522","layer":3},{"info":"∥⊫⊺⇮1344=⊺⇮2212","layer":3},{"info":"⊺⇮49760522≌⊺⇮2212=NaN","layer":2},{"info":"⊺⇮7882⊝⪿⪼⊺⇮2397=⊺⇮107516","layer":3},{"info":"⊺⇮3603≦≮≮=⊺⇮-10809","layer":3},{"info":"⊺⇮107516≎⪠⊺⇮-10809=⊺⇮19558","layer":2},{"info":"NaN⩺⪪⊺⇮19558=NaN","layer":1},{"info":"⨂⪏⇭NaN=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"($3210$⫯⪬∳$1247$⫁⪎($4125$⪒$3381$)⫳≱↱(($1627$∠⫱$1567$)⇗⋫))⊹∫⫚(($2558$⨒$1096$)⨓$4641$∊∟⩊$2468$∝($1552$⪭$1235$⊉≛↸$2330$∇⊂⋱$1866$))","expression":"(⊺⇮3210⫯⪬∳⊺⇮1247⫁⪎(⊺⇮4125⪒⊺⇮3381)⫳≱↱((⊺⇮1627∠⫱⊺⇮1567)⇗⋫))⊹∫⫚((⊺⇮2558⨒⊺⇮1096)⨓⊺⇮4641∊∟⩊⊺⇮2468∝(⊺⇮1552⪭⊺⇮1235⊉≛↸⊺⇮2330∇⊂⋱⊺⇮1866))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2640,"operation_count":14,"complexity_ratio":188.57142857142858,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3210,"base":10},"right_expr":{"type":"numeric_atoms","value":1247,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4125,"base":10},"right_expr":{"type":"numeric_atoms","value":3381,"base":10}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1627,"base":10},"right_expr":{"type":"numeric_atoms","value":1567,"base":10}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2558,"base":10},"right_expr":{"type":"numeric_atoms","value":1096,"base":10}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4641,"base":10},"right_expr":{"type":"numeric_atoms","value":2468,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1552,"base":10},"right_expr":{"type":"numeric_atoms","value":1235,"base":10}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2330,"base":10},"right_expr":{"type":"numeric_atoms","value":1866,"base":10}}}}},"used_operators":["uWAJUKEvyW","ZvLB05nZmT","xRrnTEsQ6j","d7ASUq0ydm","f6k1SAg4EE","hpqmaQFPrd","QvoQhV0rrE","cTDWOvIxvz","3ViojmjbAp","y75s1iXyHd","ddLRYrp01A","DZ8iAZOCBD","j9kHMeSvPp","nhYeJWJD5X"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","7j4O788W3g","W4YGzv6Whe","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⊺⇮-360","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3210","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=1247, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=14836","layer":3},{"info":"number node, value=4125","layer":4},{"info":"number node, value=3381","layer":4},{"info":"compute binary expreesion, left_input=4125, right_input=3381, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7506","layer":3},{"info":"compute binary expreesion, left_input=14836, right_input=-7506, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=22342","layer":2},{"info":"number node, value=1627","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=1567, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=22342, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=2558","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=1096, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-14976","layer":3},{"info":"number node, value=4641","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=4641, right_input=2468, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2468","layer":3},{"info":"compute binary expreesion, left_input=-14976, right_input=2468, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2471","layer":2},{"info":"number node, value=1552","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=1235, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2330","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=1866, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4114","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=4114, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10","layer":2},{"info":"compute binary expreesion, left_input=-2471, right_input=10, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-2466","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=-2466, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-360","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3210⫯⪬∳⊺⇮1247⫁⪎(⊺⇮4125⪒⊺⇮3381)⫳≱↱((⊺⇮1627∠⫱⊺⇮1567)⇗⋫))⊹∫⫚((⊺⇮2558⨒⊺⇮1096)⨓⊺⇮4641∊∟⩊⊺⇮2468∝(⊺⇮1552⪭⊺⇮1235⊉≛↸⊺⇮2330∇⊂⋱⊺⇮1866))=⊺⇮-360","reverse_text":"⊺⇮-360=(⊺⇮3210⫯⪬∳⊺⇮1247⫁⪎(⊺⇮4125⪒⊺⇮3381)⫳≱↱((⊺⇮1627∠⫱⊺⇮1567)⇗⋫))⊹∫⫚((⊺⇮2558⨒⊺⇮1096)⨓⊺⇮4641∊∟⩊⊺⇮2468∝(⊺⇮1552⪭⊺⇮1235⊉≛↸⊺⇮2330∇⊂⋱⊺⇮1866))","cot":[{"info":"⊺⇮3210⫯⪬∳⊺⇮1247=⊺⇮14836","layer":3},{"info":"⊺⇮4125⪒⊺⇮3381=⊺⇮-7506","layer":3},{"info":"⊺⇮14836⫁⪎⊺⇮-7506=⊺⇮22342","layer":2},{"info":"⊺⇮1627∠⫱⊺⇮1567=⊺⇮1234","layer":3},{"info":"⊺⇮1234⇗⋫=NaN","layer":2},{"info":"⊺⇮22342⫳≱↱NaN=⊺⇮-204","layer":1},{"info":"⊺⇮2558⨒⊺⇮1096=⊺⇮-14976","layer":3},{"info":"⊺⇮4641∊∟⩊⊺⇮2468=⊺⇮2468","layer":3},{"info":"⊺⇮-14976⨓⊺⇮2468=⊺⇮-2471","layer":2},{"info":"⊺⇮1552⪭⊺⇮1235=⊺⇮5","layer":3},{"info":"⊺⇮2330∇⊂⋱⊺⇮1866=⊺⇮4114","layer":3},{"info":"⊺⇮5⊉≛↸⊺⇮4114=⊺⇮10","layer":2},{"info":"⊺⇮-2471∝⊺⇮10=⊺⇮-2466","layer":1},{"info":"⊺⇮-204⊹∫⫚⊺⇮-2466=⊺⇮-360","layer":0}]}
{"id":549,"expression_no_base_symbol":"(↯⪼(≪($5889$↙$1025$)))∇⊂⋱(∐⩳⋚(($6506$⫭)≹⇙⪍($1068$⪒$2407$)))","expression":"(↯⪼(≪(⊺⇮5889↙⊺⇮1025)))∇⊂⋱(∐⩳⋚((⊺⇮6506⫭)≹⇙⪍(⊺⇮1068⪒⊺⇮2407)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1146,"operation_count":8,"complexity_ratio":143.25,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5889,"base":10},"right_expr":{"type":"numeric_atoms","value":1025,"base":10}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":6506,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1068,"base":10},"right_expr":{"type":"numeric_atoms","value":2407,"base":10}}}}},"used_operators":["nhYeJWJD5X","8jW3W4yZS5","Qtd6bqUJcN","yyfyN0ffXY","SL6IHkK8vl","AHs5Up7iyr","t4WUHVGj7f","f6k1SAg4EE"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","tmPS8pqC7x","DpFCA1CohY","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","dWAJyo7jo9","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5889","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=5889, right_input=1025, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3075","layer":3},{"info":"compute unary expreesion, input=-3075, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=36771","layer":2},{"info":"compute unary expreesion, input=36771, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=6506","layer":4},{"info":"compute unary expreesion, input=6506, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=19759","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=2407, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3475","layer":3},{"info":"compute binary expreesion, left_input=19759, right_input=-3475, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↯⪼(≪(⊺⇮5889↙⊺⇮1025)))∇⊂⋱(∐⩳⋚((⊺⇮6506⫭)≹⇙⪍(⊺⇮1068⪒⊺⇮2407)))=NaN","reverse_text":"NaN=(↯⪼(≪(⊺⇮5889↙⊺⇮1025)))∇⊂⋱(∐⩳⋚((⊺⇮6506⫭)≹⇙⪍(⊺⇮1068⪒⊺⇮2407)))","cot":[{"info":"⊺⇮5889↙⊺⇮1025=⊺⇮-3075","layer":3},{"info":"≪⊺⇮-3075=⊺⇮36771","layer":2},{"info":"↯⪼⊺⇮36771=⊺⇮-21","layer":1},{"info":"⊺⇮6506⫭=⊺⇮19759","layer":3},{"info":"⊺⇮1068⪒⊺⇮2407=⊺⇮-3475","layer":3},{"info":"⊺⇮19759≹⇙⪍⊺⇮-3475=NaN","layer":2},{"info":"∐⩳⋚NaN=NaN","layer":1},{"info":"⊺⇮-21∇⊂⋱NaN=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"↘($4232$⨔⇊$4389$⇄$2448$⨪↰⇹$2643$⩺⪪($7603$≀⫉$1770$∖$2855$⨪↰⇹$4899$))","expression":"↘(⊺⇮4232⨔⇊⊺⇮4389⇄⊺⇮2448⨪↰⇹⊺⇮2643⩺⪪(⊺⇮7603≀⫉⊺⇮1770∖⊺⇮2855⨪↰⇹⊺⇮4899))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6040,"operation_count":8,"complexity_ratio":755.0,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4232,"base":10},"right_expr":{"type":"numeric_atoms","value":4389,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2448,"base":10},"right_expr":{"type":"numeric_atoms","value":2643,"base":10}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":7603,"base":10},"right_expr":{"type":"numeric_atoms","value":1770,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2855,"base":10},"right_expr":{"type":"numeric_atoms","value":4899,"base":10}}}}},"used_operators":["LdNpr8hQHL","uvdQJvN4PV","3EYGwJThht","JclMnS0uGI","tmPS8pqC7x","tXD093vOjl","oZj3VtZNQx"],"dependent_operators":["uFcxV4UQCh","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rJVOvQCfKK","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⊺⇮78","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4232","layer":4},{"info":"number node, value=4389","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=4389, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4389","layer":3},{"info":"number node, value=2448","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=2448, right_input=2643, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2448","layer":3},{"info":"compute binary expreesion, left_input=4389, right_input=2448, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=7603","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=7603, right_input=1770, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2855","layer":4},{"info":"number node, value=4899","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=4899, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2855","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=2855, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-11290","layer":1},{"info":"compute unary expreesion, input=-11290, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=78","layer":0}],"base":10,"result_base":10,"text":"↘(⊺⇮4232⨔⇊⊺⇮4389⇄⊺⇮2448⨪↰⇹⊺⇮2643⩺⪪(⊺⇮7603≀⫉⊺⇮1770∖⊺⇮2855⨪↰⇹⊺⇮4899))=⊺⇮78","reverse_text":"⊺⇮78=↘(⊺⇮4232⨔⇊⊺⇮4389⇄⊺⇮2448⨪↰⇹⊺⇮2643⩺⪪(⊺⇮7603≀⫉⊺⇮1770∖⊺⇮2855⨪↰⇹⊺⇮4899))","cot":[{"info":"⊺⇮4232⨔⇊⊺⇮4389=⊺⇮4389","layer":3},{"info":"⊺⇮2448⨪↰⇹⊺⇮2643=⊺⇮2448","layer":3},{"info":"⊺⇮4389⇄⊺⇮2448=⊺⇮0","layer":2},{"info":"⊺⇮7603≀⫉⊺⇮1770=⊺⇮2822","layer":3},{"info":"⊺⇮2855⨪↰⇹⊺⇮4899=⊺⇮2855","layer":3},{"info":"⊺⇮2822∖⊺⇮2855=⊺⇮0","layer":2},{"info":"⊺⇮0⩺⪪⊺⇮0=⊺⇮-11290","layer":1},{"info":"↘⊺⇮-11290=⊺⇮78","layer":0}]}
{"id":551,"expression_no_base_symbol":"(⪁⇼($5122$⇻⋧≁$2137$)⨂≜(+⊝⨔$5974$))⪮%⊝((-$1712$⩁⩘$3265$)⨸⪁$2941$⨥⫆$2551$↡⊰⫅(⪓⩚$2305$))","expression":"(⪁⇼(⊺⇮5122⇻⋧≁⊺⇮2137)⨂≜(+⊝⨔⊺⇮5974))⪮%⊝((-⊺⇮1712⩁⩘⊺⇮3265)⨸⪁⊺⇮2941⨥⫆⊺⇮2551↡⊰⫅(⪓⩚⊺⇮2305))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15071,"operation_count":11,"complexity_ratio":1370.090909090909,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5122,"base":10},"right_expr":{"type":"numeric_atoms","value":2137,"base":10}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5974,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1712,"base":10},"right_expr":{"type":"numeric_atoms","value":3265,"base":10}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2941,"base":10},"right_expr":{"type":"numeric_atoms","value":2551,"base":10}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2305,"base":10}}}}},"used_operators":["IWmyXbctLI","ZNVVrZ94lY","k1SHOSEABc","jCPkEVoL5K","DhbWaqg5eL","g55IO6H4Gj","t8gj7n24qd","gub5Cegaqo","VCtxkLNOzz","yXekIHxTD4","u0R0Locfp2"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","DpFCA1CohY","IWmyXbctLI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5122","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=5122, right_input=2137, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=5974","layer":4},{"info":"compute unary expreesion, input=5974, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=1522, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":1},{"info":"number node, value=1712","layer":4},{"info":"number node, value=3265","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=3265, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=14008","layer":3},{"info":"compute unary expreesion, input=14008, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-14008","layer":2},{"info":"number node, value=2941","layer":4},{"info":"number node, value=2551","layer":4},{"info":"compute binary expreesion, left_input=2941, right_input=2551, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4978","layer":3},{"info":"number node, value=2305","layer":4},{"info":"compute unary expreesion, input=2305, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=4978, right_input=426, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=852","layer":2},{"info":"compute binary expreesion, left_input=-14008, right_input=852, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-26312","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-26312, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪁⇼(⊺⇮5122⇻⋧≁⊺⇮2137)⨂≜(+⊝⨔⊺⇮5974))⪮%⊝((-⊺⇮1712⩁⩘⊺⇮3265)⨸⪁⊺⇮2941⨥⫆⊺⇮2551↡⊰⫅(⪓⩚⊺⇮2305))=NaN","reverse_text":"NaN=(⪁⇼(⊺⇮5122⇻⋧≁⊺⇮2137)⨂≜(+⊝⨔⊺⇮5974))⪮%⊝((-⊺⇮1712⩁⩘⊺⇮3265)⨸⪁⊺⇮2941⨥⫆⊺⇮2551↡⊰⫅(⪓⩚⊺⇮2305))","cot":[{"info":"⊺⇮5122⇻⋧≁⊺⇮2137=⊺⇮-447","layer":3},{"info":"+⊝⨔⊺⇮5974=⊺⇮1522","layer":3},{"info":"⊺⇮-447⨂≜⊺⇮1522=NaN","layer":2},{"info":"⪁⇼NaN=NaN","layer":1},{"info":"⊺⇮1712⩁⩘⊺⇮3265=⊺⇮14008","layer":3},{"info":"-⊺⇮14008=⊺⇮-14008","layer":2},{"info":"⊺⇮2941⨥⫆⊺⇮2551=⊺⇮4978","layer":3},{"info":"⪓⩚⊺⇮2305=⊺⇮426","layer":3},{"info":"⊺⇮4978↡⊰⫅⊺⇮426=⊺⇮852","layer":2},{"info":"⊺⇮-14008⨸⪁⊺⇮852=⊺⇮-26312","layer":1},{"info":"NaN⪮%⊝⊺⇮-26312=NaN","layer":0}]}
{"id":552,"expression_no_base_symbol":"(($1416$⋓$1722$)⊔($1875$⇴∐$1003$))⩼⇪↪(($5321$⋭≵$1270$)⪪($3129$⫸⊐$4291$))≨($1426$⨐$1036$⩵∡($2425$⩅⪻⪻))⨂≜($1474$∼$2438$≒∊($1974$⪒$2187$))","expression":"((⊺⇮1416⋓⊺⇮1722)⊔(⊺⇮1875⇴∐⊺⇮1003))⩼⇪↪((⊺⇮5321⋭≵⊺⇮1270)⪪(⊺⇮3129⫸⊐⊺⇮4291))≨(⊺⇮1426⨐⊺⇮1036⩵∡(⊺⇮2425⩅⪻⪻))⨂≜(⊺⇮1474∼⊺⇮2438≒∊(⊺⇮1974⪒⊺⇮2187))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":350644,"operation_count":15,"complexity_ratio":23376.266666666666,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1416,"base":10},"right_expr":{"type":"numeric_atoms","value":1722,"base":10}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1875,"base":10},"right_expr":{"type":"numeric_atoms","value":1003,"base":10}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5321,"base":10},"right_expr":{"type":"numeric_atoms","value":1270,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3129,"base":10},"right_expr":{"type":"numeric_atoms","value":4291,"base":10}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1426,"base":10},"right_expr":{"type":"numeric_atoms","value":1036,"base":10}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":2425,"base":10}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1474,"base":10},"right_expr":{"type":"numeric_atoms","value":2438,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1974,"base":10},"right_expr":{"type":"numeric_atoms","value":2187,"base":10}}}}},"used_operators":["0KMCeP1Jsh","ocnLzx9CaJ","E4l6HwMY31","T2fj7uvVaJ","HnzytWxmAO","xD69zh8xqp","jBncVCNhdl","mqXw5SEYmG","k1SHOSEABc","Y7wcNGrDQJ","Noe24qw2ks","kHoXpA7yos","5KTvxBwnZo","DyGG3AbaNP","f6k1SAg4EE"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","FU0Cs4j7VP","JclMnS0uGI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","glklzrTFfD","tifHPKVTfV","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1416","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=1722, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1875","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=1003, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"number node, value=5321","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=5321, right_input=1270, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=3129","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=3129, right_input=4291, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17039","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=17039, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6206, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=1426","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=1036, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2852","layer":3},{"info":"number node, value=2425","layer":4},{"info":"compute unary expreesion, input=2425, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-358325","layer":3},{"info":"compute binary expreesion, left_input=-2852, right_input=-358325, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-349890","layer":2},{"info":"number node, value=1474","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=2438, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1974","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=2187, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4161","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4161, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-349890, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1416⋓⊺⇮1722)⊔(⊺⇮1875⇴∐⊺⇮1003))⩼⇪↪((⊺⇮5321⋭≵⊺⇮1270)⪪(⊺⇮3129⫸⊐⊺⇮4291))≨(⊺⇮1426⨐⊺⇮1036⩵∡(⊺⇮2425⩅⪻⪻))⨂≜(⊺⇮1474∼⊺⇮2438≒∊(⊺⇮1974⪒⊺⇮2187))=NaN","reverse_text":"NaN=((⊺⇮1416⋓⊺⇮1722)⊔(⊺⇮1875⇴∐⊺⇮1003))⩼⇪↪((⊺⇮5321⋭≵⊺⇮1270)⪪(⊺⇮3129⫸⊐⊺⇮4291))≨(⊺⇮1426⨐⊺⇮1036⩵∡(⊺⇮2425⩅⪻⪻))⨂≜(⊺⇮1474∼⊺⇮2438≒∊(⊺⇮1974⪒⊺⇮2187))","cot":[{"info":"⊺⇮1416⋓⊺⇮1722=⊺⇮0","layer":3},{"info":"⊺⇮1875⇴∐⊺⇮1003=NaN","layer":3},{"info":"⊺⇮0⊔NaN=NaN","layer":2},{"info":"⊺⇮5321⋭≵⊺⇮1270=⊺⇮67","layer":3},{"info":"⊺⇮3129⫸⊐⊺⇮4291=⊺⇮17039","layer":3},{"info":"⊺⇮67⪪⊺⇮17039=⊺⇮-6206","layer":2},{"info":"NaN⩼⇪↪⊺⇮-6206=NaN","layer":1},{"info":"⊺⇮1426⨐⊺⇮1036=⊺⇮-2852","layer":3},{"info":"⊺⇮2425⩅⪻⪻=⊺⇮-358325","layer":3},{"info":"⊺⇮-2852⩵∡⊺⇮-358325=⊺⇮-349890","layer":2},{"info":"⊺⇮1474∼⊺⇮2438=NaN","layer":3},{"info":"⊺⇮1974⪒⊺⇮2187=⊺⇮-4161","layer":3},{"info":"NaN≒∊⊺⇮-4161=NaN","layer":2},{"info":"⊺⇮-349890⨂≜NaN=NaN","layer":1},{"info":"NaN≨NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"⫡⇟⇯(⋗⩴⪓(↴⪽⋼$1355$))∳⫺((⊈$2807$)⩠)","expression":"⫡⇟⇯(⋗⩴⪓(↴⪽⋼⊺⇮1355))∳⫺((⊈⊺⇮2807)⩠)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1465,"operation_count":6,"complexity_ratio":244.16666666666666,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1355,"base":10}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":2807,"base":10}}}}},"used_operators":["qWUSsah53b","AzXXKTstlj","nOKPl9n5zu","5TUYCnJO6w","sJAwomhLZr","RHru8klgy8"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","12rbrZMWeM","xUOZtlo3hN"],"result":"⊺⇮26840","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1355","layer":3},{"info":"compute unary expreesion, input=1355, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-442","layer":2},{"info":"number node, value=2807","layer":4},{"info":"compute unary expreesion, input=2807, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2981","layer":3},{"info":"compute unary expreesion, input=-2981, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=12133","layer":2},{"info":"compute binary expreesion, left_input=-442, right_input=12133, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-25972","layer":1},{"info":"compute unary expreesion, input=-25972, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=26840","layer":0}],"base":10,"result_base":10,"text":"⫡⇟⇯(⋗⩴⪓(↴⪽⋼⊺⇮1355))∳⫺((⊈⊺⇮2807)⩠)=⊺⇮26840","reverse_text":"⊺⇮26840=⫡⇟⇯(⋗⩴⪓(↴⪽⋼⊺⇮1355))∳⫺((⊈⊺⇮2807)⩠)","cot":[{"info":"↴⪽⋼⊺⇮1355=⊺⇮1355","layer":3},{"info":"⋗⩴⪓⊺⇮1355=⊺⇮-442","layer":2},{"info":"⊈⊺⇮2807=⊺⇮-2981","layer":3},{"info":"⊺⇮-2981⩠=⊺⇮12133","layer":2},{"info":"⊺⇮-442∳⫺⊺⇮12133=⊺⇮-25972","layer":1},{"info":"⫡⇟⇯⊺⇮-25972=⊺⇮26840","layer":0}]}
{"id":554,"expression_no_base_symbol":"((⩦⩻⨪$2317$)⇴∐$3891$↤⩊$4325$)≁↽≥(($4382$⩘$1713$)≴⪞⇿($1199$⪔⊥$4781$))⨔⇊((($3558$⨑≵⋬$3855$)≝⊰⇂)≓∲(⇾⩊⇾($1002$⨌↪)))","expression":"((⩦⩻⨪⊺⇮2317)⇴∐⊺⇮3891↤⩊⊺⇮4325)≁↽≥((⊺⇮4382⩘⊺⇮1713)≴⪞⇿(⊺⇮1199⪔⊥⊺⇮4781))⨔⇊(((⊺⇮3558⨑≵⋬⊺⇮3855)≝⊰⇂)≓∲(⇾⩊⇾(⊺⇮1002⨌↪)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":34657,"operation_count":13,"complexity_ratio":2665.923076923077,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2317,"base":10}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3891,"base":10},"right_expr":{"type":"numeric_atoms","value":4325,"base":10}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4382,"base":10},"right_expr":{"type":"numeric_atoms","value":1713,"base":10}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1199,"base":10},"right_expr":{"type":"numeric_atoms","value":4781,"base":10}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3558,"base":10},"right_expr":{"type":"numeric_atoms","value":3855,"base":10}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":1002,"base":10}}}}},"used_operators":["JclMnS0uGI","ncHt1X6cMc","HnzytWxmAO","2td37pGCOC","13rbtpv6ld","lvlrscuwVU","cHh1gJQ2o6","HJ9erzHUuu","s1XTVnmDOJ","htSmYCowi5","XnXgA4xnOs","bx9Z9DAK5y","cWQsF5MvuD"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","DlLNRPXxWL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2317","layer":4},{"info":"compute unary expreesion, input=2317, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2317","layer":3},{"info":"number node, value=3891","layer":4},{"info":"number node, value=4325","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=4325, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2317, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=4382","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=4382, right_input=1713, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1199","layer":4},{"info":"number node, value=4781","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=4781, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-4965","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4965, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-33511","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-33511, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"number node, value=3558","layer":4},{"info":"number node, value=3855","layer":4},{"info":"compute binary expreesion, left_input=3558, right_input=3855, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-7816","layer":3},{"info":"compute unary expreesion, input=-7816, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-15766","layer":2},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute unary expreesion, input=-480, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-2166","layer":2},{"info":"compute binary expreesion, left_input=-15766, right_input=-2166, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=67, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⩦⩻⨪⊺⇮2317)⇴∐⊺⇮3891↤⩊⊺⇮4325)≁↽≥((⊺⇮4382⩘⊺⇮1713)≴⪞⇿(⊺⇮1199⪔⊥⊺⇮4781))⨔⇊(((⊺⇮3558⨑≵⋬⊺⇮3855)≝⊰⇂)≓∲(⇾⩊⇾(⊺⇮1002⨌↪)))=⊺⇮67","reverse_text":"⊺⇮67=((⩦⩻⨪⊺⇮2317)⇴∐⊺⇮3891↤⩊⊺⇮4325)≁↽≥((⊺⇮4382⩘⊺⇮1713)≴⪞⇿(⊺⇮1199⪔⊥⊺⇮4781))⨔⇊(((⊺⇮3558⨑≵⋬⊺⇮3855)≝⊰⇂)≓∲(⇾⩊⇾(⊺⇮1002⨌↪)))","cot":[{"info":"⩦⩻⨪⊺⇮2317=⊺⇮2317","layer":3},{"info":"⊺⇮3891↤⩊⊺⇮4325=NaN","layer":3},{"info":"⊺⇮2317⇴∐NaN=NaN","layer":2},{"info":"⊺⇮4382⩘⊺⇮1713=⊺⇮160","layer":3},{"info":"⊺⇮1199⪔⊥⊺⇮4781=⊺⇮-4965","layer":3},{"info":"⊺⇮160≴⪞⇿⊺⇮-4965=⊺⇮-33511","layer":2},{"info":"NaN≁↽≥⊺⇮-33511=⊺⇮196","layer":1},{"info":"⊺⇮3558⨑≵⋬⊺⇮3855=⊺⇮-7816","layer":3},{"info":"⊺⇮-7816≝⊰⇂=⊺⇮-15766","layer":2},{"info":"⊺⇮1002⨌↪=⊺⇮-480","layer":3},{"info":"⇾⩊⇾⊺⇮-480=⊺⇮-2166","layer":2},{"info":"⊺⇮-15766≓∲⊺⇮-2166=⊺⇮67","layer":1},{"info":"⊺⇮196⨔⇊⊺⇮67=⊺⇮67","layer":0}]}
{"id":555,"expression_no_base_symbol":"((⫟$2954$)↬($3074$⊨$5639$)/(⪹$3626$≝⊿$1125$))⩎⪣⊞","expression":"((⫟⊺⇮2954)↬(⊺⇮3074⊨⊺⇮5639)/(⪹⊺⇮3626≝⊿⊺⇮1125))⩎⪣⊞","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":72,"operation_count":7,"complexity_ratio":10.285714285714286,"tree":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2954,"base":10}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3074,"base":10},"right_expr":{"type":"numeric_atoms","value":5639,"base":10}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3626,"base":10},"right_expr":{"type":"numeric_atoms","value":1125,"base":10}}}}},"used_operators":["waWucp1uQ4","XhwjNDsVaA","B5M0gjZbta","z4E1FaHLuy","vg4gO5BX6G","USyYr0JgAa","OKKcZfAt5B"],"dependent_operators":["mp7IySMOzn","rysDP5nf3Z","rGHVDoGpnC","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","tifHPKVTfV","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2954","layer":4},{"info":"compute unary expreesion, input=2954, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-7955","layer":3},{"info":"number node, value=3074","layer":4},{"info":"number node, value=5639","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=5639, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=13327","layer":3},{"info":"compute binary expreesion, left_input=-7955, right_input=13327, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3626","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=3626, right_input=1125, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6409","layer":3},{"info":"compute unary expreesion, input=-6409, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=6589","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6589, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⫟⊺⇮2954)↬(⊺⇮3074⊨⊺⇮5639)/(⪹⊺⇮3626≝⊿⊺⇮1125))⩎⪣⊞=NaN","reverse_text":"NaN=((⫟⊺⇮2954)↬(⊺⇮3074⊨⊺⇮5639)/(⪹⊺⇮3626≝⊿⊺⇮1125))⩎⪣⊞","cot":[{"info":"⫟⊺⇮2954=⊺⇮-7955","layer":3},{"info":"⊺⇮3074⊨⊺⇮5639=⊺⇮13327","layer":3},{"info":"⊺⇮-7955↬⊺⇮13327=NaN","layer":2},{"info":"⊺⇮3626≝⊿⊺⇮1125=⊺⇮-6409","layer":3},{"info":"⪹⊺⇮-6409=⊺⇮6589","layer":2},{"info":"NaN/⊺⇮6589=NaN","layer":1},{"info":"NaN⩎⪣⊞=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"(($1140$∲⫓$7132$)⩒⫫(⊄⩳↩$1207$))≝⊿(≤/($2692$⊉≛↸$2243$))⫳≱↱((∂$5847$)⊜)≓∲($2714$↡⊰⫅$2532$)⋥≓≎$4417$⋳⪒$6233$","expression":"((⊺⇮1140∲⫓⊺⇮7132)⩒⫫(⊄⩳↩⊺⇮1207))≝⊿(≤/(⊺⇮2692⊉≛↸⊺⇮2243))⫳≱↱((∂⊺⇮5847)⊜)≓∲(⊺⇮2714↡⊰⫅⊺⇮2532)⋥≓≎⊺⇮4417⋳⪒⊺⇮6233","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35622,"operation_count":13,"complexity_ratio":2740.153846153846,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1140,"base":10},"right_expr":{"type":"numeric_atoms","value":7132,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1207,"base":10}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2692,"base":10},"right_expr":{"type":"numeric_atoms","value":2243,"base":10}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5847,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2714,"base":10},"right_expr":{"type":"numeric_atoms","value":2532,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4417,"base":10},"right_expr":{"type":"numeric_atoms","value":6233,"base":10}}}}},"used_operators":["ZvLB05nZmT","OKKcZfAt5B","KFSx94NKJn","i8ToyICDmI","8w2t5hMYqp","eLAdDNolq6","DZ8iAZOCBD","s1XTVnmDOJ","Eev2Q7dYIw","Uaa54Peajs","Qy55tPpLXF","VCtxkLNOzz","12rbrZMWeM"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","12rbrZMWeM","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-204","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1140","layer":4},{"info":"number node, value=7132","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=7132, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3621","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3621, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-818","layer":2},{"info":"number node, value=2692","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=2243, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5384","layer":3},{"info":"compute unary expreesion, input=5384, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4900","layer":2},{"info":"compute binary expreesion, left_input=-818, right_input=-4900, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=10085","layer":1},{"info":"number node, value=5847","layer":4},{"info":"compute unary expreesion, input=5847, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=nan","layer":2},{"info":"number node, value=2714","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=2714, right_input=2532, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5064","layer":3},{"info":"number node, value=4417","layer":4},{"info":"number node, value=6233","layer":4},{"info":"compute binary expreesion, left_input=4417, right_input=6233, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2314","layer":3},{"info":"compute binary expreesion, left_input=5064, right_input=2314, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-403","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-403, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=10085, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1140∲⫓⊺⇮7132)⩒⫫(⊄⩳↩⊺⇮1207))≝⊿(≤/(⊺⇮2692⊉≛↸⊺⇮2243))⫳≱↱((∂⊺⇮5847)⊜)≓∲(⊺⇮2714↡⊰⫅⊺⇮2532)⋥≓≎⊺⇮4417⋳⪒⊺⇮6233=⊺⇮-204","reverse_text":"⊺⇮-204=((⊺⇮1140∲⫓⊺⇮7132)⩒⫫(⊄⩳↩⊺⇮1207))≝⊿(≤/(⊺⇮2692⊉≛↸⊺⇮2243))⫳≱↱((∂⊺⇮5847)⊜)≓∲(⊺⇮2714↡⊰⫅⊺⇮2532)⋥≓≎⊺⇮4417⋳⪒⊺⇮6233","cot":[{"info":"⊺⇮1140∲⫓⊺⇮7132=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮1207=⊺⇮-3621","layer":3},{"info":"⊺⇮0⩒⫫⊺⇮-3621=⊺⇮-818","layer":2},{"info":"⊺⇮2692⊉≛↸⊺⇮2243=⊺⇮5384","layer":3},{"info":"≤/⊺⇮5384=⊺⇮-4900","layer":2},{"info":"⊺⇮-818≝⊿⊺⇮-4900=⊺⇮10085","layer":1},{"info":"∂⊺⇮5847=NaN","layer":3},{"info":"NaN⊜=NaN","layer":2},{"info":"⊺⇮2714↡⊰⫅⊺⇮2532=⊺⇮5064","layer":3},{"info":"⊺⇮4417⋳⪒⊺⇮6233=⊺⇮2314","layer":3},{"info":"⊺⇮5064⋥≓≎⊺⇮2314=⊺⇮-403","layer":2},{"info":"NaN≓∲⊺⇮-403=NaN","layer":1},{"info":"⊺⇮10085⫳≱↱NaN=⊺⇮-204","layer":0}]}
{"id":557,"expression_no_base_symbol":"(⨝⨆($2433$⋷$4160$)⫯⪬∳($1695$⇍⊗$3799$))⋥≓≎((⋣$8376$)⊍⩺⋍$1075$≁$1166$)↼⊘⨖($2640$⋻⩜⩜$3929$∷(⇨$9093$))","expression":"(⨝⨆(⊺⇮2433⋷⊺⇮4160)⫯⪬∳(⊺⇮1695⇍⊗⊺⇮3799))⋥≓≎((⋣⊺⇮8376)⊍⩺⋍⊺⇮1075≁⊺⇮1166)↼⊘⨖(⊺⇮2640⋻⩜⩜⊺⇮3929∷(⇨⊺⇮9093))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":55537,"operation_count":12,"complexity_ratio":4628.083333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2433,"base":10},"right_expr":{"type":"numeric_atoms","value":4160,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1695,"base":10},"right_expr":{"type":"numeric_atoms","value":3799,"base":10}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":8376,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1075,"base":10},"right_expr":{"type":"numeric_atoms","value":1166,"base":10}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2640,"base":10},"right_expr":{"type":"numeric_atoms","value":3929,"base":10}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":9093,"base":10}}}}},"used_operators":["Qy55tPpLXF","bQ67fsrMVf","d7ASUq0ydm","23Mk6UjR3U","5uvYHDjeKN","bPywburJMS","OXDGMFPWZM","zQWRhDnn8F","8N2wDY1A35","D3AQDKkPcf","oDCm7WA9JY","G9tJMlZ94a"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","NTOWxs364D","7j4O788W3g","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","k8jYdgA6NY"],"result":"⊺⇮-54210","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2433","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=4160, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5887","layer":3},{"info":"number node, value=1695","layer":4},{"info":"number node, value=3799","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=3799, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=5887, right_input=-244, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=29712","layer":2},{"info":"compute unary expreesion, input=29712, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=29503","layer":1},{"info":"number node, value=8376","layer":4},{"info":"compute unary expreesion, input=8376, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-2462449","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1166, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=14783","layer":3},{"info":"compute binary expreesion, left_input=-2462449, right_input=14783, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=2640","layer":4},{"info":"number node, value=3929","layer":4},{"info":"compute binary expreesion, left_input=2640, right_input=3929, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5280","layer":3},{"info":"number node, value=9093","layer":4},{"info":"compute unary expreesion, input=9093, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5280, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-6074","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6074, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-12370","layer":1},{"info":"compute binary expreesion, left_input=29503, right_input=-12370, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-54210","layer":0}],"base":10,"result_base":10,"text":"(⨝⨆(⊺⇮2433⋷⊺⇮4160)⫯⪬∳(⊺⇮1695⇍⊗⊺⇮3799))⋥≓≎((⋣⊺⇮8376)⊍⩺⋍⊺⇮1075≁⊺⇮1166)↼⊘⨖(⊺⇮2640⋻⩜⩜⊺⇮3929∷(⇨⊺⇮9093))=⊺⇮-54210","reverse_text":"⊺⇮-54210=(⨝⨆(⊺⇮2433⋷⊺⇮4160)⫯⪬∳(⊺⇮1695⇍⊗⊺⇮3799))⋥≓≎((⋣⊺⇮8376)⊍⩺⋍⊺⇮1075≁⊺⇮1166)↼⊘⨖(⊺⇮2640⋻⩜⩜⊺⇮3929∷(⇨⊺⇮9093))","cot":[{"info":"⊺⇮2433⋷⊺⇮4160=⊺⇮5887","layer":3},{"info":"⊺⇮1695⇍⊗⊺⇮3799=⊺⇮-244","layer":3},{"info":"⊺⇮5887⫯⪬∳⊺⇮-244=⊺⇮29712","layer":2},{"info":"⨝⨆⊺⇮29712=⊺⇮29503","layer":1},{"info":"⋣⊺⇮8376=⊺⇮-2462449","layer":3},{"info":"⊺⇮1075≁⊺⇮1166=⊺⇮14783","layer":3},{"info":"⊺⇮-2462449⊍⩺⋍⊺⇮14783=NaN","layer":2},{"info":"⊺⇮2640⋻⩜⩜⊺⇮3929=⊺⇮5280","layer":3},{"info":"⇨⊺⇮9093=⊺⇮0","layer":3},{"info":"⊺⇮5280∷⊺⇮0=⊺⇮-6074","layer":2},{"info":"NaN↼⊘⨖⊺⇮-6074=⊺⇮-12370","layer":1},{"info":"⊺⇮29503⋥≓≎⊺⇮-12370=⊺⇮-54210","layer":0}]}
{"id":558,"expression_no_base_symbol":"((($3454$∖$3600$)⊋≦⊧$5271$⩘$5386$)⇚⪠)≧⫂∧(⫵↿($6788$⪍↜⋙$1712$))⪎↠($2904$⨜⨶$1602$∑⇟⊟($5864$⊫∞))","expression":"(((⊺⇮3454∖⊺⇮3600)⊋≦⊧⊺⇮5271⩘⊺⇮5386)⇚⪠)≧⫂∧(⫵↿(⊺⇮6788⪍↜⋙⊺⇮1712))⪎↠(⊺⇮2904⨜⨶⊺⇮1602∑⇟⊟(⊺⇮5864⊫∞))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24002,"operation_count":11,"complexity_ratio":2182.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3454,"base":10},"right_expr":{"type":"numeric_atoms","value":3600,"base":10}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5271,"base":10},"right_expr":{"type":"numeric_atoms","value":5386,"base":10}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6788,"base":10},"right_expr":{"type":"numeric_atoms","value":1712,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2904,"base":10},"right_expr":{"type":"numeric_atoms","value":1602,"base":10}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":5864,"base":10}}}}},"used_operators":["Ph9nP6C5qx","Loh9y4A90B","oRDoc9rAEX","tXD093vOjl","cHh1gJQ2o6","3tVxb0NHM4","ivGwdmUAux","L05ObWFQCd","U7g4x0WXJJ","HiPekx5b7W","pABnYW3G3E"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux"],"result":"⊺⇮532","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3454","layer":4},{"info":"number node, value=3600","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=3600, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=5271","layer":4},{"info":"number node, value=5386","layer":4},{"info":"compute binary expreesion, left_input=5271, right_input=5386, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=36096","layer":1},{"info":"number node, value=6788","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=6788, right_input=1712, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=10152","layer":3},{"info":"compute unary expreesion, input=10152, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=2904","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=1602, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-2948","layer":3},{"info":"number node, value=5864","layer":4},{"info":"compute unary expreesion, input=5864, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2948, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-2948","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=-2948, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1005","layer":1},{"info":"compute binary expreesion, left_input=36096, right_input=1005, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=532","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮3454∖⊺⇮3600)⊋≦⊧⊺⇮5271⩘⊺⇮5386)⇚⪠)≧⫂∧(⫵↿(⊺⇮6788⪍↜⋙⊺⇮1712))⪎↠(⊺⇮2904⨜⨶⊺⇮1602∑⇟⊟(⊺⇮5864⊫∞))=⊺⇮532","reverse_text":"⊺⇮532=(((⊺⇮3454∖⊺⇮3600)⊋≦⊧⊺⇮5271⩘⊺⇮5386)⇚⪠)≧⫂∧(⫵↿(⊺⇮6788⪍↜⋙⊺⇮1712))⪎↠(⊺⇮2904⨜⨶⊺⇮1602∑⇟⊟(⊺⇮5864⊫∞))","cot":[{"info":"⊺⇮3454∖⊺⇮3600=⊺⇮0","layer":3},{"info":"⊺⇮5271⩘⊺⇮5386=⊺⇮160","layer":3},{"info":"⊺⇮0⊋≦⊧⊺⇮160=⊺⇮192","layer":2},{"info":"⊺⇮192⇚⪠=⊺⇮36096","layer":1},{"info":"⊺⇮6788⪍↜⋙⊺⇮1712=⊺⇮10152","layer":3},{"info":"⫵↿⊺⇮10152=⊺⇮137","layer":2},{"info":"⊺⇮2904⨜⨶⊺⇮1602=⊺⇮-2948","layer":3},{"info":"⊺⇮5864⊫∞=⊺⇮0","layer":3},{"info":"⊺⇮-2948∑⇟⊟⊺⇮0=⊺⇮-2948","layer":2},{"info":"⊺⇮137⪎↠⊺⇮-2948=⊺⇮1005","layer":1},{"info":"⊺⇮36096≧⫂∧⊺⇮1005=⊺⇮532","layer":0}]}
{"id":559,"expression_no_base_symbol":"∤(($3283$⊾⪯⋞$3539$)∀⊥⇻)⩖⊿(⇵⪽(⋠∜$4430$))","expression":"∤((⊺⇮3283⊾⪯⋞⊺⇮3539)∀⊥⇻)⩖⊿(⇵⪽(⋠∜⊺⇮4430))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":137,"operation_count":6,"complexity_ratio":22.833333333333332,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3283,"base":10},"right_expr":{"type":"numeric_atoms","value":3539,"base":10}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":4430,"base":10}}}}},"used_operators":["k2HlF1dBQh","RZ5CV9rWsJ","k4iM1060OG","HK0tfVPux8","ZGCBLdVRRX","ZJpFhNJr3x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","U7g4x0WXJJ","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3283","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=3283, right_input=3539, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6652","layer":3},{"info":"compute unary expreesion, input=6652, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"number node, value=4430","layer":4},{"info":"compute unary expreesion, input=4430, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=20004","layer":3},{"info":"compute unary expreesion, input=20004, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∤((⊺⇮3283⊾⪯⋞⊺⇮3539)∀⊥⇻)⩖⊿(⇵⪽(⋠∜⊺⇮4430))=NaN","reverse_text":"NaN=∤((⊺⇮3283⊾⪯⋞⊺⇮3539)∀⊥⇻)⩖⊿(⇵⪽(⋠∜⊺⇮4430))","cot":[{"info":"⊺⇮3283⊾⪯⋞⊺⇮3539=⊺⇮6652","layer":3},{"info":"⊺⇮6652∀⊥⇻=⊺⇮0","layer":2},{"info":"⋠∜⊺⇮4430=⊺⇮20004","layer":3},{"info":"⇵⪽⊺⇮20004=NaN","layer":2},{"info":"⊺⇮0⩖⊿NaN=NaN","layer":1},{"info":"∤NaN=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"⩷⨜⫀(($1674$∌↝$1139$⊭↱$4379$⪨⊡$1008$)⊟⇱)","expression":"⩷⨜⫀((⊺⇮1674∌↝⊺⇮1139⊭↱⊺⇮4379⪨⊡⊺⇮1008)⊟⇱)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":51,"operation_count":5,"complexity_ratio":10.2,"tree":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1674,"base":10},"right_expr":{"type":"numeric_atoms","value":1139,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4379,"base":10},"right_expr":{"type":"numeric_atoms","value":1008,"base":10}}}}},"used_operators":["CDi0ktkjQ4","03sUfWo75k","COABgblf1C","9Isq31Ruls","kuIXHzHcAH"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⊺⇮-53","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1674","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=1139, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=4379","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=4379, right_input=1008, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5","layer":2},{"info":"compute unary expreesion, input=5, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=326","layer":1},{"info":"compute unary expreesion, input=326, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-53","layer":0}],"base":10,"result_base":10,"text":"⩷⨜⫀((⊺⇮1674∌↝⊺⇮1139⊭↱⊺⇮4379⪨⊡⊺⇮1008)⊟⇱)=⊺⇮-53","reverse_text":"⊺⇮-53=⩷⨜⫀((⊺⇮1674∌↝⊺⇮1139⊭↱⊺⇮4379⪨⊡⊺⇮1008)⊟⇱)","cot":[{"info":"⊺⇮1674∌↝⊺⇮1139=⊺⇮0","layer":3},{"info":"⊺⇮4379⪨⊡⊺⇮1008=⊺⇮0","layer":3},{"info":"⊺⇮0⊭↱⊺⇮0=⊺⇮5","layer":2},{"info":"⊺⇮5⊟⇱=⊺⇮326","layer":1},{"info":"⩷⨜⫀⊺⇮326=⊺⇮-53","layer":0}]}
{"id":561,"expression_no_base_symbol":"($1219$≨$3445$⨳⩥⨓(⊀$5393$)-$3917$≹⇙⪍$6037$⊍⩺⋍(↴⪽⋼$5639$))⪬((($4654$-$3722$)≭$7044$≁↽≥$1286$)∇⊂⋱(⋃(∥⊫$7187$)))","expression":"(⊺⇮1219≨⊺⇮3445⨳⩥⨓(⊀⊺⇮5393)-⊺⇮3917≹⇙⪍⊺⇮6037⊍⩺⋍(↴⪽⋼⊺⇮5639))⪬(((⊺⇮4654-⊺⇮3722)≭⊺⇮7044≁↽≥⊺⇮1286)∇⊂⋱(⋃(∥⊫⊺⇮7187)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":922,"operation_count":14,"complexity_ratio":65.85714285714286,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1219,"base":10},"right_expr":{"type":"numeric_atoms","value":3445,"base":10}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":5393,"base":10}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3917,"base":10},"right_expr":{"type":"numeric_atoms","value":6037,"base":10}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":5639,"base":10}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4654,"base":10},"right_expr":{"type":"numeric_atoms","value":3722,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":7044,"base":10},"right_expr":{"type":"numeric_atoms","value":1286,"base":10}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7187,"base":10}}}}},"used_operators":["Ez1Nq5fNfI","rysDP5nf3Z","nCS4ZIUYfx","0KMCeP1Jsh","oPMjh9089D","OXDGMFPWZM","AHs5Up7iyr","5TUYCnJO6w","nhYeJWJD5X","rxpJgHHUmx","ncHt1X6cMc","3mBM5G4a3l","P8v4zCKN1o"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","dWAJyo7jo9","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","AHs5Up7iyr","oWn0xqSxBt","3Oe9XWJUTD","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":4},{"info":"number node, value=3445","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=3445, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-9714","layer":3},{"info":"number node, value=5393","layer":4},{"info":"compute unary expreesion, input=5393, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=21310","layer":3},{"info":"compute binary expreesion, left_input=-9714, right_input=21310, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=31024","layer":2},{"info":"number node, value=3917","layer":4},{"info":"number node, value=6037","layer":4},{"info":"compute binary expreesion, left_input=3917, right_input=6037, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5639","layer":4},{"info":"compute unary expreesion, input=5639, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=5639","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5639, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=31024, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4654","layer":4},{"info":"number node, value=3722","layer":4},{"info":"compute binary expreesion, left_input=4654, right_input=3722, op_id = rysDP5nf3Z binary_op_definition= 'None', output=932","layer":3},{"info":"number node, value=7044","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=7044, right_input=1286, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=98844","layer":3},{"info":"compute binary expreesion, left_input=932, right_input=98844, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=7187","layer":4},{"info":"compute unary expreesion, input=7187, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8055","layer":3},{"info":"compute unary expreesion, input=8055, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=16212","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16212, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1219≨⊺⇮3445⨳⩥⨓(⊀⊺⇮5393)-⊺⇮3917≹⇙⪍⊺⇮6037⊍⩺⋍(↴⪽⋼⊺⇮5639))⪬(((⊺⇮4654-⊺⇮3722)≭⊺⇮7044≁↽≥⊺⇮1286)∇⊂⋱(⋃(∥⊫⊺⇮7187)))=⊺⇮1234","reverse_text":"⊺⇮1234=(⊺⇮1219≨⊺⇮3445⨳⩥⨓(⊀⊺⇮5393)-⊺⇮3917≹⇙⪍⊺⇮6037⊍⩺⋍(↴⪽⋼⊺⇮5639))⪬(((⊺⇮4654-⊺⇮3722)≭⊺⇮7044≁↽≥⊺⇮1286)∇⊂⋱(⋃(∥⊫⊺⇮7187)))","cot":[{"info":"⊺⇮1219≨⊺⇮3445=⊺⇮-9714","layer":3},{"info":"⊀⊺⇮5393=⊺⇮21310","layer":3},{"info":"⊺⇮-9714⨳⩥⨓⊺⇮21310=⊺⇮31024","layer":2},{"info":"⊺⇮3917≹⇙⪍⊺⇮6037=NaN","layer":3},{"info":"↴⪽⋼⊺⇮5639=⊺⇮5639","layer":3},{"info":"NaN⊍⩺⋍⊺⇮5639=NaN","layer":2},{"info":"⊺⇮31024-NaN=NaN","layer":1},{"info":"⊺⇮4654-⊺⇮3722=⊺⇮932","layer":3},{"info":"⊺⇮7044≁↽≥⊺⇮1286=⊺⇮98844","layer":3},{"info":"⊺⇮932≭⊺⇮98844=NaN","layer":2},{"info":"∥⊫⊺⇮7187=⊺⇮8055","layer":3},{"info":"⋃⊺⇮8055=⊺⇮16212","layer":2},{"info":"NaN∇⊂⋱⊺⇮16212=NaN","layer":1},{"info":"NaN⪬NaN=⊺⇮1234","layer":0}]}
{"id":562,"expression_no_base_symbol":"($3209$∑⇟⊟$6792$⨁⊸⫻)∠↢($1026$⪘⫢$2271$⨑≵⋬$2111$≎⪠$3762$)≀⩗∶(($4616$⩁⩘$1287$⪎⩰)⫚↹⊑$1509$↤⩊$4309$⊋$1376$↓$2170$)","expression":"(⊺⇮3209∑⇟⊟⊺⇮6792⨁⊸⫻)∠↢(⊺⇮1026⪘⫢⊺⇮2271⨑≵⋬⊺⇮2111≎⪠⊺⇮3762)≀⩗∶((⊺⇮4616⩁⩘⊺⇮1287⪎⩰)⫚↹⊑⊺⇮1509↤⩊⊺⇮4309⊋⊺⇮1376↓⊺⇮2170)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":50127,"operation_count":13,"complexity_ratio":3855.923076923077,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3209,"base":10},"right_expr":{"type":"numeric_atoms","value":6792,"base":10}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1026,"base":10},"right_expr":{"type":"numeric_atoms","value":2271,"base":10}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2111,"base":10},"right_expr":{"type":"numeric_atoms","value":3762,"base":10}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4616,"base":10},"right_expr":{"type":"numeric_atoms","value":1287,"base":10}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1509,"base":10},"right_expr":{"type":"numeric_atoms","value":4309,"base":10}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1376,"base":10},"right_expr":{"type":"numeric_atoms","value":2170,"base":10}}}}},"used_operators":["8INZBEW696","KbjG8mgYpV","glklzrTFfD","U7g4x0WXJJ","XnXgA4xnOs","oacrs7FA3X","aNhz54LH3e","dfKe02y8D2","2ufhKmSs5H","gub5Cegaqo","W4tP9CfskL","13rbtpv6ld","Af076pWI7l"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","DpFCA1CohY","IWmyXbctLI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3209","layer":4},{"info":"number node, value=6792","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=6792, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2271, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1928","layer":3},{"info":"number node, value=2111","layer":4},{"info":"number node, value=3762","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=3762, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=1928, right_input=19558, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-125887","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-125887, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"number node, value=4616","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=4616, right_input=1287, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6096","layer":3},{"info":"compute unary expreesion, input=6096, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":2},{"info":"number node, value=1509","layer":4},{"info":"number node, value=4309","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=4309, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=2170, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-8134","layer":2},{"info":"compute binary expreesion, left_input=-34, right_input=-8134, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3209∑⇟⊟⊺⇮6792⨁⊸⫻)∠↢(⊺⇮1026⪘⫢⊺⇮2271⨑≵⋬⊺⇮2111≎⪠⊺⇮3762)≀⩗∶((⊺⇮4616⩁⩘⊺⇮1287⪎⩰)⫚↹⊑⊺⇮1509↤⩊⊺⇮4309⊋⊺⇮1376↓⊺⇮2170)=NaN","reverse_text":"NaN=(⊺⇮3209∑⇟⊟⊺⇮6792⨁⊸⫻)∠↢(⊺⇮1026⪘⫢⊺⇮2271⨑≵⋬⊺⇮2111≎⪠⊺⇮3762)≀⩗∶((⊺⇮4616⩁⩘⊺⇮1287⪎⩰)⫚↹⊑⊺⇮1509↤⩊⊺⇮4309⊋⊺⇮1376↓⊺⇮2170)","cot":[{"info":"⊺⇮3209∑⇟⊟⊺⇮6792=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⊺⇮1026⪘⫢⊺⇮2271=⊺⇮1928","layer":3},{"info":"⊺⇮2111≎⪠⊺⇮3762=⊺⇮19558","layer":3},{"info":"⊺⇮1928⨑≵⋬⊺⇮19558=⊺⇮-125887","layer":2},{"info":"NaN∠↢⊺⇮-125887=NaN","layer":1},{"info":"⊺⇮4616⩁⩘⊺⇮1287=⊺⇮6096","layer":3},{"info":"⊺⇮6096⪎⩰=⊺⇮-34","layer":2},{"info":"⊺⇮1509↤⩊⊺⇮4309=NaN","layer":3},{"info":"⊺⇮1376↓⊺⇮2170=⊺⇮-134","layer":3},{"info":"NaN⊋⊺⇮-134=⊺⇮-8134","layer":2},{"info":"⊺⇮-34⫚↹⊑⊺⇮-8134=⊺⇮-447","layer":1},{"info":"NaN≀⩗∶⊺⇮-447=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"($3933$⫸⇳$1252$)⨔⇊$1602$⨑⩅≇$4291$∼(∮$4013$)⩦($4655$≄⊠$5067$)⩭","expression":"(⊺⇮3933⫸⇳⊺⇮1252)⨔⇊⊺⇮1602⨑⩅≇⊺⇮4291∼(∮⊺⇮4013)⩦(⊺⇮4655≄⊠⊺⇮5067)⩭","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38453,"operation_count":8,"complexity_ratio":4806.625,"tree":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3933,"base":10},"right_expr":{"type":"numeric_atoms","value":1252,"base":10}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1602,"base":10},"right_expr":{"type":"numeric_atoms","value":4291,"base":10}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":4013,"base":10}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4655,"base":10},"right_expr":{"type":"numeric_atoms","value":5067,"base":10}}}}},"used_operators":["yIPP7u6H5x","DyGG3AbaNP","JclMnS0uGI","gx7XJ7hdpj","h92wMvzauj","0kmYd0q39Y","CqXKPLVYql","vXNesLlMH1"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⊺⇮450","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3933","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=1252, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1602","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=4291, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-4806","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4806, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"number node, value=4013","layer":4},{"info":"compute unary expreesion, input=4013, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=4655","layer":4},{"info":"number node, value=5067","layer":4},{"info":"compute binary expreesion, left_input=4655, right_input=5067, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=85740","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=85740, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=134","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=134, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3933⫸⇳⊺⇮1252)⨔⇊⊺⇮1602⨑⩅≇⊺⇮4291∼(∮⊺⇮4013)⩦(⊺⇮4655≄⊠⊺⇮5067)⩭=⊺⇮450","reverse_text":"⊺⇮450=(⊺⇮3933⫸⇳⊺⇮1252)⨔⇊⊺⇮1602⨑⩅≇⊺⇮4291∼(∮⊺⇮4013)⩦(⊺⇮4655≄⊠⊺⇮5067)⩭","cot":[{"info":"⊺⇮3933⫸⇳⊺⇮1252=⊺⇮0","layer":3},{"info":"⊺⇮1602⨑⩅≇⊺⇮4291=⊺⇮-4806","layer":3},{"info":"⊺⇮0⨔⇊⊺⇮-4806=⊺⇮67","layer":2},{"info":"∮⊺⇮4013=⊺⇮67","layer":3},{"info":"⊺⇮4655≄⊠⊺⇮5067=⊺⇮85740","layer":3},{"info":"⊺⇮67⩦⊺⇮85740=⊺⇮134","layer":2},{"info":"⊺⇮67∼⊺⇮134=⊺⇮0","layer":1},{"info":"⊺⇮0⩭=⊺⇮450","layer":0}]}
{"id":564,"expression_no_base_symbol":"(($1118$⨒$1023$)⪉⨛$1173$⇍⊗$1156$)≄⊠(→⩰($2758$⊪))⨽(⩷(≇⪴$6791$))⋹⋡⊁(($1093$⋻⩜⩜$1257$)⪚($6119$∩⋅))","expression":"((⊺⇮1118⨒⊺⇮1023)⪉⨛⊺⇮1173⇍⊗⊺⇮1156)≄⊠(→⩰(⊺⇮2758⊪))⨽(⩷(≇⪴⊺⇮6791))⋹⋡⊁((⊺⇮1093⋻⩜⩜⊺⇮1257)⪚(⊺⇮6119∩⋅))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":82277,"operation_count":13,"complexity_ratio":6329.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1118,"base":10},"right_expr":{"type":"numeric_atoms","value":1023,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1173,"base":10},"right_expr":{"type":"numeric_atoms","value":1156,"base":10}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2758,"base":10}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":6791,"base":10}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1093,"base":10},"right_expr":{"type":"numeric_atoms","value":1257,"base":10}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":6119,"base":10}}}}},"used_operators":["8HhzD0ZcuI","vXNesLlMH1","EWw2JM7wp4","y75s1iXyHd","5uvYHDjeKN","o8Pngz0Tml","zVYPLywUTj","As8RqfVLgs","1h0rLqGiFr","zoVPnxeHJ3","HrjLwUk87U","oDCm7WA9JY","2MzE1hQ0cz"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Qy55tPpLXF"],"result":"⊺⇮-6798972","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=1023, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6336","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=1156, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-6336, right_input=-244, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-18061","layer":2},{"info":"number node, value=2758","layer":4},{"info":"compute unary expreesion, input=2758, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=-78965","layer":2},{"info":"compute binary expreesion, left_input=-18061, right_input=-78965, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=6791","layer":4},{"info":"compute unary expreesion, input=6791, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-19033","layer":3},{"info":"compute unary expreesion, input=-19033, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=228317","layer":2},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1257, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2186","layer":3},{"info":"number node, value=6119","layer":4},{"info":"compute unary expreesion, input=6119, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-5998","layer":3},{"info":"compute binary expreesion, left_input=2186, right_input=-5998, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=16012","layer":2},{"info":"compute binary expreesion, left_input=228317, right_input=16012, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=16762","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=16762, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6798972","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1118⨒⊺⇮1023)⪉⨛⊺⇮1173⇍⊗⊺⇮1156)≄⊠(→⩰(⊺⇮2758⊪))⨽(⩷(≇⪴⊺⇮6791))⋹⋡⊁((⊺⇮1093⋻⩜⩜⊺⇮1257)⪚(⊺⇮6119∩⋅))=⊺⇮-6798972","reverse_text":"⊺⇮-6798972=((⊺⇮1118⨒⊺⇮1023)⪉⨛⊺⇮1173⇍⊗⊺⇮1156)≄⊠(→⩰(⊺⇮2758⊪))⨽(⩷(≇⪴⊺⇮6791))⋹⋡⊁((⊺⇮1093⋻⩜⩜⊺⇮1257)⪚(⊺⇮6119∩⋅))","cot":[{"info":"⊺⇮1118⨒⊺⇮1023=⊺⇮-6336","layer":3},{"info":"⊺⇮1173⇍⊗⊺⇮1156=⊺⇮-244","layer":3},{"info":"⊺⇮-6336⪉⨛⊺⇮-244=⊺⇮-18061","layer":2},{"info":"⊺⇮2758⊪=⊺⇮0","layer":3},{"info":"→⩰⊺⇮0=⊺⇮-78965","layer":2},{"info":"⊺⇮-18061≄⊠⊺⇮-78965=⊺⇮1500","layer":1},{"info":"≇⪴⊺⇮6791=⊺⇮-19033","layer":3},{"info":"⩷⊺⇮-19033=⊺⇮228317","layer":2},{"info":"⊺⇮1093⋻⩜⩜⊺⇮1257=⊺⇮2186","layer":3},{"info":"⊺⇮6119∩⋅=⊺⇮-5998","layer":3},{"info":"⊺⇮2186⪚⊺⇮-5998=⊺⇮16012","layer":2},{"info":"⊺⇮228317⋹⋡⊁⊺⇮16012=⊺⇮16762","layer":1},{"info":"⊺⇮1500⨽⊺⇮16762=⊺⇮-6798972","layer":0}]}
{"id":565,"expression_no_base_symbol":"($2338$⨭⪣$4548$)↳∿⪆$2166$⨐$1069$⨓($3373$↺$3599$)⪛$5747$⨼⩣$1410$∐⫣","expression":"(⊺⇮2338⨭⪣⊺⇮4548)↳∿⪆⊺⇮2166⨐⊺⇮1069⨓(⊺⇮3373↺⊺⇮3599)⪛⊺⇮5747⨼⩣⊺⇮1410∐⫣","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2890,"operation_count":8,"complexity_ratio":361.25,"tree":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2338,"base":10},"right_expr":{"type":"numeric_atoms","value":4548,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2166,"base":10},"right_expr":{"type":"numeric_atoms","value":1069,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3373,"base":10},"right_expr":{"type":"numeric_atoms","value":3599,"base":10}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5747,"base":10},"right_expr":{"type":"numeric_atoms","value":1410,"base":10}}}}},"used_operators":["4CyGpkTkEk","3ViojmjbAp","Cw4SuJJGHO","kn8WO9XteQ","Noe24qw2ks","uFcxV4UQCh","7j4O788W3g","JxwMv5le6e"],"dependent_operators":["XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2338","layer":4},{"info":"number node, value=4548","layer":4},{"info":"compute binary expreesion, left_input=2338, right_input=4548, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1059","layer":3},{"info":"number node, value=2166","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=1069, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4332","layer":3},{"info":"compute binary expreesion, left_input=1059, right_input=-4332, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=3373","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=3373, right_input=3599, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3599","layer":3},{"info":"number node, value=5747","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=5747, right_input=1410, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3599, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2338⨭⪣⊺⇮4548)↳∿⪆⊺⇮2166⨐⊺⇮1069⨓(⊺⇮3373↺⊺⇮3599)⪛⊺⇮5747⨼⩣⊺⇮1410∐⫣=NaN","reverse_text":"NaN=(⊺⇮2338⨭⪣⊺⇮4548)↳∿⪆⊺⇮2166⨐⊺⇮1069⨓(⊺⇮3373↺⊺⇮3599)⪛⊺⇮5747⨼⩣⊺⇮1410∐⫣","cot":[{"info":"⊺⇮2338⨭⪣⊺⇮4548=⊺⇮1059","layer":3},{"info":"⊺⇮2166⨐⊺⇮1069=⊺⇮-4332","layer":3},{"info":"⊺⇮1059↳∿⪆⊺⇮-4332=NaN","layer":2},{"info":"⊺⇮3373↺⊺⇮3599=⊺⇮3599","layer":3},{"info":"⊺⇮5747⨼⩣⊺⇮1410=NaN","layer":3},{"info":"⊺⇮3599⪛NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN∐⫣=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"∤↝($2432$↳∿⪆$5085$⫰⋱(⇁⨣⪵$4781$)⩭)","expression":"∤↝(⊺⇮2432↳∿⪆⊺⇮5085⫰⋱(⇁⨣⪵⊺⇮4781)⩭)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2748,"operation_count":5,"complexity_ratio":549.6,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2432,"base":10},"right_expr":{"type":"numeric_atoms","value":5085,"base":10}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4781,"base":10}}}}},"used_operators":["3UMq87Qwqg","yIPP7u6H5x","6o9Blt3TJ6","Cw4SuJJGHO","inkyxCbjAn"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2432","layer":4},{"info":"number node, value=5085","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=5085, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=4781","layer":4},{"info":"compute unary expreesion, input=4781, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∤↝(⊺⇮2432↳∿⪆⊺⇮5085⫰⋱(⇁⨣⪵⊺⇮4781)⩭)=NaN","reverse_text":"NaN=∤↝(⊺⇮2432↳∿⪆⊺⇮5085⫰⋱(⇁⨣⪵⊺⇮4781)⩭)","cot":[{"info":"⊺⇮2432↳∿⪆⊺⇮5085=NaN","layer":3},{"info":"⇁⨣⪵⊺⇮4781=NaN","layer":3},{"info":"NaN⫰⋱NaN=NaN","layer":2},{"info":"NaN⩭=NaN","layer":1},{"info":"∤↝NaN=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"((∜⨇$1125$)⩎⪣⊞)⨼⩣(($1320$⊨$1691$)⇷(⨵≀≌$4937$))⫦⪉(($3598$⊓⋫)⫲≸⪮(-$4783$)-$2767$↙$3896$⇼⇔∾($3500$∲⫓$1715$))","expression":"((∜⨇⊺⇮1125)⩎⪣⊞)⨼⩣((⊺⇮1320⊨⊺⇮1691)⇷(⨵≀≌⊺⇮4937))⫦⪉((⊺⇮3598⊓⋫)⫲≸⪮(-⊺⇮4783)-⊺⇮2767↙⊺⇮3896⇼⇔∾(⊺⇮3500∲⫓⊺⇮1715))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":96459,"operation_count":14,"complexity_ratio":6889.928571428572,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1125,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1320,"base":10},"right_expr":{"type":"numeric_atoms","value":1691,"base":10}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4937,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":3598,"base":10}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4783,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2767,"base":10},"right_expr":{"type":"numeric_atoms","value":3896,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3500,"base":10},"right_expr":{"type":"numeric_atoms","value":1715,"base":10}}}}},"used_operators":["wscyQdcy20","JxwMv5le6e","waWucp1uQ4","uFPyJr306J","mp7IySMOzn","vg4gO5BX6G","srAu1WTS94","rysDP5nf3Z","P3lXMJvFrc","IqGBaFP0uj","t8gj7n24qd","tifHPKVTfV","yyfyN0ffXY","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","mp7IySMOzn","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1125","layer":4},{"info":"compute unary expreesion, input=1125, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"number node, value=1320","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=1691, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6311","layer":3},{"info":"number node, value=4937","layer":4},{"info":"compute unary expreesion, input=4937, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14811","layer":3},{"info":"compute binary expreesion, left_input=6311, right_input=-14811, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=3598","layer":4},{"info":"compute unary expreesion, input=3598, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3726","layer":3},{"info":"number node, value=4783","layer":4},{"info":"compute unary expreesion, input=4783, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4783","layer":3},{"info":"compute binary expreesion, left_input=-3726, right_input=-4783, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-3726","layer":2},{"info":"number node, value=2767","layer":4},{"info":"number node, value=3896","layer":4},{"info":"compute binary expreesion, left_input=2767, right_input=3896, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11688","layer":3},{"info":"number node, value=3500","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=3500, right_input=1715, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-11688, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=11688","layer":2},{"info":"compute binary expreesion, left_input=-3726, right_input=11688, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-15414","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15414, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∜⨇⊺⇮1125)⩎⪣⊞)⨼⩣((⊺⇮1320⊨⊺⇮1691)⇷(⨵≀≌⊺⇮4937))⫦⪉((⊺⇮3598⊓⋫)⫲≸⪮(-⊺⇮4783)-⊺⇮2767↙⊺⇮3896⇼⇔∾(⊺⇮3500∲⫓⊺⇮1715))=NaN","reverse_text":"NaN=((∜⨇⊺⇮1125)⩎⪣⊞)⨼⩣((⊺⇮1320⊨⊺⇮1691)⇷(⨵≀≌⊺⇮4937))⫦⪉((⊺⇮3598⊓⋫)⫲≸⪮(-⊺⇮4783)-⊺⇮2767↙⊺⇮3896⇼⇔∾(⊺⇮3500∲⫓⊺⇮1715))","cot":[{"info":"∜⨇⊺⇮1125=NaN","layer":3},{"info":"NaN⩎⪣⊞=NaN","layer":2},{"info":"⊺⇮1320⊨⊺⇮1691=⊺⇮6311","layer":3},{"info":"⨵≀≌⊺⇮4937=⊺⇮-14811","layer":3},{"info":"⊺⇮6311⇷⊺⇮-14811=NaN","layer":2},{"info":"NaN⨼⩣NaN=NaN","layer":1},{"info":"⊺⇮3598⊓⋫=⊺⇮-3726","layer":3},{"info":"-⊺⇮4783=⊺⇮-4783","layer":3},{"info":"⊺⇮-3726⫲≸⪮⊺⇮-4783=⊺⇮-3726","layer":2},{"info":"⊺⇮2767↙⊺⇮3896=⊺⇮-11688","layer":3},{"info":"⊺⇮3500∲⫓⊺⇮1715=⊺⇮0","layer":3},{"info":"⊺⇮-11688⇼⇔∾⊺⇮0=⊺⇮11688","layer":2},{"info":"⊺⇮-3726-⊺⇮11688=⊺⇮-15414","layer":1},{"info":"NaN⫦⪉⊺⇮-15414=NaN","layer":0}]}
{"id":568,"expression_no_base_symbol":"((($9048$⨑≵⋬$1480$)⨽(⇖$3083$))⊬⨰($3617$∷$1106$⨑≵⋬($1757$≬⋮$6837$)))⩦($3006$∺≝⩲$2530$⊉↱≁(⇉-⫰$5751$)⪚(($3796$⊋≦⊧$2495$)↼⊘⨖$6325$⇡⇂$1537$))","expression":"(((⊺⇮9048⨑≵⋬⊺⇮1480)⨽(⇖⊺⇮3083))⊬⨰(⊺⇮3617∷⊺⇮1106⨑≵⋬(⊺⇮1757≬⋮⊺⇮6837)))⩦(⊺⇮3006∺≝⩲⊺⇮2530⊉↱≁(⇉-⫰⊺⇮5751)⪚((⊺⇮3796⊋≦⊧⊺⇮2495)↼⊘⨖⊺⇮6325⇡⇂⊺⇮1537))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45534,"operation_count":15,"complexity_ratio":3035.6,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":9048,"base":10},"right_expr":{"type":"numeric_atoms","value":1480,"base":10}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":3083,"base":10}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3617,"base":10},"right_expr":{"type":"numeric_atoms","value":1106,"base":10}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1757,"base":10},"right_expr":{"type":"numeric_atoms","value":6837,"base":10}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3006,"base":10},"right_expr":{"type":"numeric_atoms","value":2530,"base":10}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":5751,"base":10}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3796,"base":10},"right_expr":{"type":"numeric_atoms","value":2495,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":6325,"base":10},"right_expr":{"type":"numeric_atoms","value":1537,"base":10}}}}},"used_operators":["0kmYd0q39Y","s3Fd5m9Dh2","8HhzD0ZcuI","XnXgA4xnOs","tfWHHpNKUN","D3AQDKkPcf","kbkesczE7y","HrjLwUk87U","w2P8NbNXyL","KPf6cnQVty","IGFM8TAlm9","bPywburJMS","oRDoc9rAEX","UMwdvZNt44"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2DQ55sFlQl","9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9048","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=9048, right_input=1480, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=36259","layer":3},{"info":"number node, value=3083","layer":4},{"info":"compute unary expreesion, input=3083, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=36259, right_input=160, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=3617","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=3617, right_input=1106, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1106","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=6837","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=6837, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1106, right_input=868, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=833","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=833, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"number node, value=3006","layer":4},{"info":"number node, value=2530","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=2530, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=5751","layer":4},{"info":"compute unary expreesion, input=5751, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=20, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=1428","layer":2},{"info":"number node, value=3796","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=3796, right_input=2495, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-4750","layer":3},{"info":"number node, value=6325","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=6325, right_input=1537, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4750, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1428, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮9048⨑≵⋬⊺⇮1480)⨽(⇖⊺⇮3083))⊬⨰(⊺⇮3617∷⊺⇮1106⨑≵⋬(⊺⇮1757≬⋮⊺⇮6837)))⩦(⊺⇮3006∺≝⩲⊺⇮2530⊉↱≁(⇉-⫰⊺⇮5751)⪚((⊺⇮3796⊋≦⊧⊺⇮2495)↼⊘⨖⊺⇮6325⇡⇂⊺⇮1537))=NaN","reverse_text":"NaN=(((⊺⇮9048⨑≵⋬⊺⇮1480)⨽(⇖⊺⇮3083))⊬⨰(⊺⇮3617∷⊺⇮1106⨑≵⋬(⊺⇮1757≬⋮⊺⇮6837)))⩦(⊺⇮3006∺≝⩲⊺⇮2530⊉↱≁(⇉-⫰⊺⇮5751)⪚((⊺⇮3796⊋≦⊧⊺⇮2495)↼⊘⨖⊺⇮6325⇡⇂⊺⇮1537))","cot":[{"info":"⊺⇮9048⨑≵⋬⊺⇮1480=⊺⇮36259","layer":3},{"info":"⇖⊺⇮3083=⊺⇮160","layer":3},{"info":"⊺⇮36259⨽⊺⇮160=-Inf","layer":2},{"info":"⊺⇮3617∷⊺⇮1106=⊺⇮1106","layer":3},{"info":"⊺⇮1757≬⋮⊺⇮6837=⊺⇮868","layer":3},{"info":"⊺⇮1106⨑≵⋬⊺⇮868=⊺⇮833","layer":2},{"info":"-Inf⊬⨰⊺⇮833=NaN","layer":1},{"info":"⊺⇮3006∺≝⩲⊺⇮2530=⊺⇮160","layer":3},{"info":"⇉-⫰⊺⇮5751=⊺⇮20","layer":3},{"info":"⊺⇮160⊉↱≁⊺⇮20=⊺⇮1428","layer":2},{"info":"⊺⇮3796⊋≦⊧⊺⇮2495=⊺⇮-4750","layer":3},{"info":"⊺⇮6325⇡⇂⊺⇮1537=NaN","layer":3},{"info":"⊺⇮-4750↼⊘⨖NaN=NaN","layer":2},{"info":"⊺⇮1428⪚NaN=NaN","layer":1},{"info":"NaN⩦NaN=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"((⊥$2891$)≥⨤⩑$2335$≁$4697$)⪎↠((↴⪽⋼$1131$)↱(⨂⪏⇭$1232$))⊬⨰(((⫟$5426$)⊋≦⊧$4868$⪔⊥$5158$)≹⇙⪍($5961$⪒$3888$)∳⫺($1279$⪒$2042$))","expression":"((⊥⊺⇮2891)≥⨤⩑⊺⇮2335≁⊺⇮4697)⪎↠((↴⪽⋼⊺⇮1131)↱(⨂⪏⇭⊺⇮1232))⊬⨰(((⫟⊺⇮5426)⊋≦⊧⊺⇮4868⪔⊥⊺⇮5158)≹⇙⪍(⊺⇮5961⪒⊺⇮3888)∳⫺(⊺⇮1279⪒⊺⇮2042))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":281,"operation_count":15,"complexity_ratio":18.733333333333334,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2891,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2335,"base":10},"right_expr":{"type":"numeric_atoms","value":4697,"base":10}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1131,"base":10}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1232,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":5426,"base":10}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4868,"base":10},"right_expr":{"type":"numeric_atoms","value":5158,"base":10}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5961,"base":10},"right_expr":{"type":"numeric_atoms","value":3888,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1279,"base":10},"right_expr":{"type":"numeric_atoms","value":2042,"base":10}}}}},"used_operators":["s3Fd5m9Dh2","3tVxb0NHM4","gJLn6v0xnP","Q3PJZHRvZv","8N2wDY1A35","SR5kFfdi6N","5TUYCnJO6w","AYdpE9sXAk","AHs5Up7iyr","oRDoc9rAEX","z4E1FaHLuy","HJ9erzHUuu","AzXXKTstlj","f6k1SAg4EE"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","fu6greOZ01","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","dWAJyo7jo9","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2891","layer":4},{"info":"compute unary expreesion, input=2891, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2335","layer":4},{"info":"number node, value=4697","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=4697, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=99527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=99527, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1131","layer":3},{"info":"number node, value=1232","layer":4},{"info":"compute unary expreesion, input=1232, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2717","layer":3},{"info":"compute binary expreesion, left_input=1131, right_input=2717, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-7629","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-7629, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"number node, value=5426","layer":4},{"info":"compute unary expreesion, input=5426, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-15371","layer":3},{"info":"number node, value=4868","layer":4},{"info":"number node, value=5158","layer":4},{"info":"compute binary expreesion, left_input=4868, right_input=5158, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=8957","layer":3},{"info":"compute binary expreesion, left_input=-15371, right_input=8957, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=5961","layer":4},{"info":"number node, value=3888","layer":4},{"info":"compute binary expreesion, left_input=5961, right_input=3888, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9849","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=2042","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=2042, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3321","layer":3},{"info":"compute binary expreesion, left_input=-9849, right_input=-3321, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-32692","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-32692, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊥⊺⇮2891)≥⨤⩑⊺⇮2335≁⊺⇮4697)⪎↠((↴⪽⋼⊺⇮1131)↱(⨂⪏⇭⊺⇮1232))⊬⨰(((⫟⊺⇮5426)⊋≦⊧⊺⇮4868⪔⊥⊺⇮5158)≹⇙⪍(⊺⇮5961⪒⊺⇮3888)∳⫺(⊺⇮1279⪒⊺⇮2042))=NaN","reverse_text":"NaN=((⊥⊺⇮2891)≥⨤⩑⊺⇮2335≁⊺⇮4697)⪎↠((↴⪽⋼⊺⇮1131)↱(⨂⪏⇭⊺⇮1232))⊬⨰(((⫟⊺⇮5426)⊋≦⊧⊺⇮4868⪔⊥⊺⇮5158)≹⇙⪍(⊺⇮5961⪒⊺⇮3888)∳⫺(⊺⇮1279⪒⊺⇮2042))","cot":[{"info":"⊥⊺⇮2891=NaN","layer":3},{"info":"⊺⇮2335≁⊺⇮4697=⊺⇮99527","layer":3},{"info":"NaN≥⨤⩑⊺⇮99527=⊺⇮1234","layer":2},{"info":"↴⪽⋼⊺⇮1131=⊺⇮1131","layer":3},{"info":"⨂⪏⇭⊺⇮1232=⊺⇮2717","layer":3},{"info":"⊺⇮1131↱⊺⇮2717=⊺⇮-7629","layer":2},{"info":"⊺⇮1234⪎↠⊺⇮-7629=⊺⇮160","layer":1},{"info":"⫟⊺⇮5426=⊺⇮-15371","layer":3},{"info":"⊺⇮4868⪔⊥⊺⇮5158=⊺⇮8957","layer":3},{"info":"⊺⇮-15371⊋≦⊧⊺⇮8957=⊺⇮192","layer":2},{"info":"⊺⇮5961⪒⊺⇮3888=⊺⇮-9849","layer":3},{"info":"⊺⇮1279⪒⊺⇮2042=⊺⇮-3321","layer":3},{"info":"⊺⇮-9849∳⫺⊺⇮-3321=⊺⇮-32692","layer":2},{"info":"⊺⇮192≹⇙⪍⊺⇮-32692=NaN","layer":1},{"info":"⊺⇮160⊬⨰NaN=NaN","layer":0}]}
{"id":570,"expression_no_base_symbol":"((≱⇩⩕$1762$)⪨≂(⨡↴$1940$))⇻⋧≁(($3347$⨫⇇↔$1505$)⫞⩸⩒($6143$⪢$2390$))⇮⋭(($5339$∙∹∝$2835$)⩘⨬⇊)⪔⊥((⪹$1091$)≀⫉($4168$⇉⇱⇎))","expression":"((≱⇩⩕⊺⇮1762)⪨≂(⨡↴⊺⇮1940))⇻⋧≁((⊺⇮3347⨫⇇↔⊺⇮1505)⫞⩸⩒(⊺⇮6143⪢⊺⇮2390))⇮⋭((⊺⇮5339∙∹∝⊺⇮2835)⩘⨬⇊)⪔⊥((⪹⊺⇮1091)≀⫉(⊺⇮4168⇉⇱⇎))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16416,"operation_count":14,"complexity_ratio":1172.5714285714287,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1762,"base":10}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1940,"base":10}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3347,"base":10},"right_expr":{"type":"numeric_atoms","value":1505,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6143,"base":10},"right_expr":{"type":"numeric_atoms","value":2390,"base":10}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5339,"base":10},"right_expr":{"type":"numeric_atoms","value":2835,"base":10}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1091,"base":10}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":4168,"base":10}}}}},"used_operators":["vkpjKywKVM","jCPkEVoL5K","sdazOOVcIp","3DZMoQKiUl","liw5iZPkLH","XGcMNugi78","LXhwmt4mBO","dWAJyo7jo9","HJ9erzHUuu","XXmTpEpWTW","HmxsFra2vL","oZj3VtZNQx","USyYr0JgAa","MRPaB8lBjK"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","P8v4zCKN1o","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","tifHPKVTfV","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=1940","layer":4},{"info":"compute unary expreesion, input=1940, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2989","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=2989, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5650","layer":2},{"info":"number node, value=3347","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=1505, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=6143","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=6143, right_input=2390, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=-5650, right_input=-527, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"number node, value=5339","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=5339, right_input=2835, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-1798","layer":2},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-911","layer":3},{"info":"number node, value=4168","layer":4},{"info":"compute unary expreesion, input=4168, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-3950","layer":3},{"info":"compute binary expreesion, left_input=-911, right_input=-3950, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-1798, right_input=2822, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-13035","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-13035, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":10,"result_base":10,"text":"((≱⇩⩕⊺⇮1762)⪨≂(⨡↴⊺⇮1940))⇻⋧≁((⊺⇮3347⨫⇇↔⊺⇮1505)⫞⩸⩒(⊺⇮6143⪢⊺⇮2390))⇮⋭((⊺⇮5339∙∹∝⊺⇮2835)⩘⨬⇊)⪔⊥((⪹⊺⇮1091)≀⫉(⊺⇮4168⇉⇱⇎))=⊺⇮67","reverse_text":"⊺⇮67=((≱⇩⩕⊺⇮1762)⪨≂(⨡↴⊺⇮1940))⇻⋧≁((⊺⇮3347⨫⇇↔⊺⇮1505)⫞⩸⩒(⊺⇮6143⪢⊺⇮2390))⇮⋭((⊺⇮5339∙∹∝⊺⇮2835)⩘⨬⇊)⪔⊥((⪹⊺⇮1091)≀⫉(⊺⇮4168⇉⇱⇎))","cot":[{"info":"≱⇩⩕⊺⇮1762=⊺⇮113","layer":3},{"info":"⨡↴⊺⇮1940=⊺⇮2989","layer":3},{"info":"⊺⇮113⪨≂⊺⇮2989=⊺⇮-5650","layer":2},{"info":"⊺⇮3347⨫⇇↔⊺⇮1505=⊺⇮-527","layer":3},{"info":"⊺⇮6143⪢⊺⇮2390=NaN","layer":3},{"info":"⊺⇮-527⫞⩸⩒NaN=⊺⇮-527","layer":2},{"info":"⊺⇮-5650⇻⋧≁⊺⇮-527=⊺⇮0","layer":1},{"info":"⊺⇮5339∙∹∝⊺⇮2835=⊺⇮0","layer":3},{"info":"⊺⇮0⩘⨬⇊=⊺⇮-1798","layer":2},{"info":"⪹⊺⇮1091=⊺⇮-911","layer":3},{"info":"⊺⇮4168⇉⇱⇎=⊺⇮-3950","layer":3},{"info":"⊺⇮-911≀⫉⊺⇮-3950=⊺⇮2822","layer":2},{"info":"⊺⇮-1798⪔⊥⊺⇮2822=⊺⇮-13035","layer":1},{"info":"⊺⇮0⇮⋭⊺⇮-13035=⊺⇮67","layer":0}]}
{"id":571,"expression_no_base_symbol":"(⫵↿(($2093$⋳⪒$4530$)↠))*$5394$⪚$1657$⇷$4356$⫁⪎$2536$⫥∨⫟($1542$⋥≓≎$2522$↱$2253$⪶≀⋏$2433$)","expression":"(⫵↿((⊺⇮2093⋳⪒⊺⇮4530)↠))*⊺⇮5394⪚⊺⇮1657⇷⊺⇮4356⫁⪎⊺⇮2536⫥∨⫟(⊺⇮1542⋥≓≎⊺⇮2522↱⊺⇮2253⪶≀⋏⊺⇮2433)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":101536,"operation_count":11,"complexity_ratio":9230.545454545454,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2093,"base":10},"right_expr":{"type":"numeric_atoms","value":4530,"base":10}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5394,"base":10},"right_expr":{"type":"numeric_atoms","value":1657,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4356,"base":10},"right_expr":{"type":"numeric_atoms","value":2536,"base":10}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1542,"base":10},"right_expr":{"type":"numeric_atoms","value":2522,"base":10}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2253,"base":10},"right_expr":{"type":"numeric_atoms","value":2433,"base":10}}}}},"used_operators":["9HNa5Wba9A","ivGwdmUAux","LBdsKIvxzf","12rbrZMWeM","KYD54nUTWz","mp7IySMOzn","HrjLwUk87U","xRrnTEsQ6j","SR5kFfdi6N","Qy55tPpLXF","zR4jO40bMj"],"dependent_operators":["W4YGzv6Whe","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2093","layer":4},{"info":"number node, value=4530","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=4530, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-631","layer":3},{"info":"compute unary expreesion, input=-631, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"number node, value=5394","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=5394, right_input=1657, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=7118","layer":3},{"info":"number node, value=4356","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=2536, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1820","layer":3},{"info":"compute binary expreesion, left_input=7118, right_input=1820, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3640","layer":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=2522, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3535","layer":3},{"info":"number node, value=2253","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=2253, right_input=2433, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11857","layer":3},{"info":"compute binary expreesion, left_input=3535, right_input=-11857, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-79544","layer":2},{"info":"compute binary expreesion, left_input=3640, right_input=-79544, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫵↿((⊺⇮2093⋳⪒⊺⇮4530)↠))*⊺⇮5394⪚⊺⇮1657⇷⊺⇮4356⫁⪎⊺⇮2536⫥∨⫟(⊺⇮1542⋥≓≎⊺⇮2522↱⊺⇮2253⪶≀⋏⊺⇮2433)=NaN","reverse_text":"NaN=(⫵↿((⊺⇮2093⋳⪒⊺⇮4530)↠))*⊺⇮5394⪚⊺⇮1657⇷⊺⇮4356⫁⪎⊺⇮2536⫥∨⫟(⊺⇮1542⋥≓≎⊺⇮2522↱⊺⇮2253⪶≀⋏⊺⇮2433)","cot":[{"info":"⊺⇮2093⋳⪒⊺⇮4530=⊺⇮-631","layer":3},{"info":"⊺⇮-631↠=NaN","layer":2},{"info":"⫵↿NaN=⊺⇮137","layer":1},{"info":"⊺⇮5394⪚⊺⇮1657=⊺⇮7118","layer":3},{"info":"⊺⇮4356⫁⪎⊺⇮2536=⊺⇮1820","layer":3},{"info":"⊺⇮7118⇷⊺⇮1820=⊺⇮3640","layer":2},{"info":"⊺⇮1542⋥≓≎⊺⇮2522=⊺⇮3535","layer":3},{"info":"⊺⇮2253⪶≀⋏⊺⇮2433=⊺⇮-11857","layer":3},{"info":"⊺⇮3535↱⊺⇮-11857=⊺⇮-79544","layer":2},{"info":"⊺⇮3640⫥∨⫟⊺⇮-79544=NaN","layer":1},{"info":"⊺⇮137*NaN=NaN","layer":0}]}
{"id":572,"expression_no_base_symbol":"⊬↢((⊄⩳↩$1741$)⨥⫆($1032$⨎⋸⪻))↤⩊($3291$⪝$1152$⩉⊫⨁)","expression":"⊬↢((⊄⩳↩⊺⇮1741)⨥⫆(⊺⇮1032⨎⋸⪻))↤⩊(⊺⇮3291⪝⊺⇮1152⩉⊫⨁)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":668,"operation_count":7,"complexity_ratio":95.42857142857143,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1741,"base":10}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1032,"base":10}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3291,"base":10},"right_expr":{"type":"numeric_atoms","value":1152,"base":10}}}}},"used_operators":["WPoGxAaPR1","13rbtpv6ld","yXekIHxTD4","8w2t5hMYqp","Dk5vyLCiGd","7qqUquhhSb","wicAB68Tmb"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","7j4O788W3g","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"compute unary expreesion, input=1741, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5223","layer":3},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2380","layer":3},{"info":"compute binary expreesion, left_input=-5223, right_input=2380, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"number node, value=3291","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=1152, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-8955","layer":3},{"info":"compute unary expreesion, input=-8955, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-8955","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-8955, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊬↢((⊄⩳↩⊺⇮1741)⨥⫆(⊺⇮1032⨎⋸⪻))↤⩊(⊺⇮3291⪝⊺⇮1152⩉⊫⨁)=NaN","reverse_text":"NaN=⊬↢((⊄⩳↩⊺⇮1741)⨥⫆(⊺⇮1032⨎⋸⪻))↤⩊(⊺⇮3291⪝⊺⇮1152⩉⊫⨁)","cot":[{"info":"⊄⩳↩⊺⇮1741=⊺⇮-5223","layer":3},{"info":"⊺⇮1032⨎⋸⪻=⊺⇮2380","layer":3},{"info":"⊺⇮-5223⨥⫆⊺⇮2380=⊺⇮0","layer":2},{"info":"⊺⇮3291⪝⊺⇮1152=⊺⇮-8955","layer":3},{"info":"⊺⇮-8955⩉⊫⨁=⊺⇮-8955","layer":2},{"info":"⊺⇮0↤⩊⊺⇮-8955=NaN","layer":1},{"info":"⊬↢NaN=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"(∜⨇(($2777$⫳≱↱$1958$)∇⊂⋱($1024$⫲≸⪮$3111$)))⊀⩕","expression":"(∜⨇((⊺⇮2777⫳≱↱⊺⇮1958)∇⊂⋱(⊺⇮1024⫲≸⪮⊺⇮3111)))⊀⩕","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2140,"operation_count":5,"complexity_ratio":428.0,"tree":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2777,"base":10},"right_expr":{"type":"numeric_atoms","value":1958,"base":10}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1024,"base":10},"right_expr":{"type":"numeric_atoms","value":3111,"base":10}}}}},"used_operators":["r0FS3hW4cC","uFPyJr306J","nhYeJWJD5X","ZvLB05nZmT","P3lXMJvFrc"],"dependent_operators":["rGHVDoGpnC","nhYeJWJD5X","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2777","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=2777, right_input=1958, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=3111","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=3111, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1024","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=1024, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-2048","layer":2},{"info":"compute unary expreesion, input=-2048, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∜⨇((⊺⇮2777⫳≱↱⊺⇮1958)∇⊂⋱(⊺⇮1024⫲≸⪮⊺⇮3111)))⊀⩕=NaN","reverse_text":"NaN=(∜⨇((⊺⇮2777⫳≱↱⊺⇮1958)∇⊂⋱(⊺⇮1024⫲≸⪮⊺⇮3111)))⊀⩕","cot":[{"info":"⊺⇮2777⫳≱↱⊺⇮1958=⊺⇮-204","layer":3},{"info":"⊺⇮1024⫲≸⪮⊺⇮3111=⊺⇮1024","layer":3},{"info":"⊺⇮-204∇⊂⋱⊺⇮1024=⊺⇮-2048","layer":2},{"info":"∜⨇⊺⇮-2048=NaN","layer":1},{"info":"NaN⊀⩕=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"≸(($4665$⨒$1321$)∠↢($5675$⫿)⫌⩉⩟($3314$⨭⪣$1266$)⫁⪎($5297$⩨$3518$))","expression":"≸((⊺⇮4665⨒⊺⇮1321)∠↢(⊺⇮5675⫿)⫌⩉⩟(⊺⇮3314⨭⪣⊺⇮1266)⫁⪎(⊺⇮5297⩨⊺⇮3518))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9998,"operation_count":8,"complexity_ratio":1249.75,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4665,"base":10},"right_expr":{"type":"numeric_atoms","value":1321,"base":10}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":5675,"base":10}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3314,"base":10},"right_expr":{"type":"numeric_atoms","value":1266,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5297,"base":10},"right_expr":{"type":"numeric_atoms","value":3518,"base":10}}}}},"used_operators":["eOf03JbCpp","XIIwhv8d0m","KbjG8mgYpV","y75s1iXyHd","9tKT6PmtkH","xRrnTEsQ6j","kn8WO9XteQ","2DlMacCsIx"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⊺⇮351","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4665","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=4665, right_input=1321, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-27618","layer":3},{"info":"number node, value=5675","layer":4},{"info":"compute unary expreesion, input=5675, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=5675","layer":3},{"info":"compute binary expreesion, left_input=-27618, right_input=5675, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=32104","layer":2},{"info":"number node, value=3314","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=1266, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2035","layer":3},{"info":"number node, value=5297","layer":4},{"info":"number node, value=3518","layer":4},{"info":"compute binary expreesion, left_input=5297, right_input=3518, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2035, right_input=0, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2035","layer":2},{"info":"compute binary expreesion, left_input=32104, right_input=2035, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":0}],"base":10,"result_base":10,"text":"≸((⊺⇮4665⨒⊺⇮1321)∠↢(⊺⇮5675⫿)⫌⩉⩟(⊺⇮3314⨭⪣⊺⇮1266)⫁⪎(⊺⇮5297⩨⊺⇮3518))=⊺⇮351","reverse_text":"⊺⇮351=≸((⊺⇮4665⨒⊺⇮1321)∠↢(⊺⇮5675⫿)⫌⩉⩟(⊺⇮3314⨭⪣⊺⇮1266)⫁⪎(⊺⇮5297⩨⊺⇮3518))","cot":[{"info":"⊺⇮4665⨒⊺⇮1321=⊺⇮-27618","layer":3},{"info":"⊺⇮5675⫿=⊺⇮5675","layer":3},{"info":"⊺⇮-27618∠↢⊺⇮5675=⊺⇮32104","layer":2},{"info":"⊺⇮3314⨭⪣⊺⇮1266=⊺⇮2035","layer":3},{"info":"⊺⇮5297⩨⊺⇮3518=⊺⇮0","layer":3},{"info":"⊺⇮2035⫁⪎⊺⇮0=⊺⇮2035","layer":2},{"info":"⊺⇮32104⫌⩉⩟⊺⇮2035=⊺⇮-50","layer":1},{"info":"≸⊺⇮-50=⊺⇮351","layer":0}]}
{"id":575,"expression_no_base_symbol":"(($2448$⇉⇉)⊮⊟↴(⊆⋠$1011$)%(($6241$⫡⨏$4621$)⇗⋫))↤⩊($1038$↞⋁$6975$⩚⊴⇥$4256$⪛$6411$⋻⩜⩜$8467$⨐$4671$∼$1709$⨽∌$1872$)","expression":"((⊺⇮2448⇉⇉)⊮⊟↴(⊆⋠⊺⇮1011)%((⊺⇮6241⫡⨏⊺⇮4621)⇗⋫))↤⩊(⊺⇮1038↞⋁⊺⇮6975⩚⊴⇥⊺⇮4256⪛⊺⇮6411⋻⩜⩜⊺⇮8467⨐⊺⇮4671∼⊺⇮1709⨽∌⊺⇮1872)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1195,"operation_count":14,"complexity_ratio":85.35714285714286,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2448,"base":10}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1011,"base":10}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6241,"base":10},"right_expr":{"type":"numeric_atoms","value":4621,"base":10}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1038,"base":10},"right_expr":{"type":"numeric_atoms","value":6975,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4256,"base":10},"right_expr":{"type":"numeric_atoms","value":6411,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":8467,"base":10},"right_expr":{"type":"numeric_atoms","value":4671,"base":10}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1709,"base":10},"right_expr":{"type":"numeric_atoms","value":1872,"base":10}}}}},"used_operators":["13rbtpv6ld","k8jYdgA6NY","QDVgd2eftb","diKm42VcIt","EBhcHTkKd8","hpqmaQFPrd","QMFrweE19q","oDCm7WA9JY","NTOWxs364D","RqrPlJkxDo","uFcxV4UQCh","DyGG3AbaNP","Noe24qw2ks","9samAPKr6k"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rxpJgHHUmx","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2448","layer":4},{"info":"compute unary expreesion, input=2448, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-151720","layer":3},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-151720, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=6241","layer":4},{"info":"number node, value=4621","layer":4},{"info":"compute binary expreesion, left_input=6241, right_input=4621, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=41230","layer":3},{"info":"compute unary expreesion, input=41230, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1038","layer":4},{"info":"number node, value=6975","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=6975, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=4256","layer":4},{"info":"number node, value=6411","layer":4},{"info":"compute binary expreesion, left_input=4256, right_input=6411, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4256","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4256, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=8467","layer":4},{"info":"number node, value=4671","layer":4},{"info":"compute binary expreesion, left_input=8467, right_input=4671, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-16934","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1872, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-16934, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2448⇉⇉)⊮⊟↴(⊆⋠⊺⇮1011)%((⊺⇮6241⫡⨏⊺⇮4621)⇗⋫))↤⩊(⊺⇮1038↞⋁⊺⇮6975⩚⊴⇥⊺⇮4256⪛⊺⇮6411⋻⩜⩜⊺⇮8467⨐⊺⇮4671∼⊺⇮1709⨽∌⊺⇮1872)=NaN","reverse_text":"NaN=((⊺⇮2448⇉⇉)⊮⊟↴(⊆⋠⊺⇮1011)%((⊺⇮6241⫡⨏⊺⇮4621)⇗⋫))↤⩊(⊺⇮1038↞⋁⊺⇮6975⩚⊴⇥⊺⇮4256⪛⊺⇮6411⋻⩜⩜⊺⇮8467⨐⊺⇮4671∼⊺⇮1709⨽∌⊺⇮1872)","cot":[{"info":"⊺⇮2448⇉⇉=⊺⇮-151720","layer":3},{"info":"⊆⋠⊺⇮1011=⊺⇮0","layer":3},{"info":"⊺⇮-151720⊮⊟↴⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮6241⫡⨏⊺⇮4621=⊺⇮41230","layer":3},{"info":"⊺⇮41230⇗⋫=NaN","layer":2},{"info":"⊺⇮0%NaN=NaN","layer":1},{"info":"⊺⇮1038↞⋁⊺⇮6975=NaN","layer":3},{"info":"⊺⇮4256⪛⊺⇮6411=⊺⇮4256","layer":3},{"info":"NaN⩚⊴⇥⊺⇮4256=NaN","layer":2},{"info":"⊺⇮8467⨐⊺⇮4671=⊺⇮-16934","layer":3},{"info":"⊺⇮1709⨽∌⊺⇮1872=⊺⇮0","layer":3},{"info":"⊺⇮-16934∼⊺⇮0=⊺⇮20","layer":2},{"info":"NaN⋻⩜⩜⊺⇮20=NaN","layer":1},{"info":"NaN↤⩊NaN=NaN","layer":0}]}
{"id":576,"expression_no_base_symbol":"(($1460$↙$2926$)⫘($2267$⫠↝⫳)⋷(⊖$4018$)∑⇟⊟($2366$⇮⋭$4437$))∠⫱(($3230$⨝⩣∺)⫥∨⫟($1692$∙⊟$3583$))⪘⫢$1184$⫁$3618$≦↸($4486$⨳⩥⨓$1492$)","expression":"((⊺⇮1460↙⊺⇮2926)⫘(⊺⇮2267⫠↝⫳)⋷(⊖⊺⇮4018)∑⇟⊟(⊺⇮2366⇮⋭⊺⇮4437))∠⫱((⊺⇮3230⨝⩣∺)⫥∨⫟(⊺⇮1692∙⊟⊺⇮3583))⪘⫢⊺⇮1184⫁⊺⇮3618≦↸(⊺⇮4486⨳⩥⨓⊺⇮1492)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":237786,"operation_count":15,"complexity_ratio":15852.4,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1460,"base":10},"right_expr":{"type":"numeric_atoms","value":2926,"base":10}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":2267,"base":10}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":4018,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2366,"base":10},"right_expr":{"type":"numeric_atoms","value":4437,"base":10}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":3230,"base":10}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1692,"base":10},"right_expr":{"type":"numeric_atoms","value":3583,"base":10}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1184,"base":10},"right_expr":{"type":"numeric_atoms","value":3618,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4486,"base":10},"right_expr":{"type":"numeric_atoms","value":1492,"base":10}}}}},"used_operators":["QvoQhV0rrE","23Mk6UjR3U","48vC8HMD2b","yyfyN0ffXY","8n5YIzOsVS","U7g4x0WXJJ","U6pG0PXrV3","vkpjKywKVM","oacrs7FA3X","KYD54nUTWz","ancx8kZcWl","SxTAKzQCrw","RygbFNSyEJ","0ajvFaJAv0","nCS4ZIUYfx"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1460","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=2926, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8778","layer":3},{"info":"number node, value=2267","layer":4},{"info":"compute unary expreesion, input=2267, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=73167","layer":3},{"info":"compute binary expreesion, left_input=-8778, right_input=73167, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=38700719","layer":2},{"info":"number node, value=4018","layer":4},{"info":"compute unary expreesion, input=4018, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=2366","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=4437, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-473, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=38700719, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3230","layer":4},{"info":"compute unary expreesion, input=3230, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-6460","layer":3},{"info":"number node, value=1692","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=3583, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=31842","layer":3},{"info":"compute binary expreesion, left_input=-6460, right_input=31842, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1184","layer":4},{"info":"number node, value=3618","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=3618, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=4486","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=4486, right_input=1492, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2994","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2994, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=521","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=521, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1460↙⊺⇮2926)⫘(⊺⇮2267⫠↝⫳)⋷(⊖⊺⇮4018)∑⇟⊟(⊺⇮2366⇮⋭⊺⇮4437))∠⫱((⊺⇮3230⨝⩣∺)⫥∨⫟(⊺⇮1692∙⊟⊺⇮3583))⪘⫢⊺⇮1184⫁⊺⇮3618≦↸(⊺⇮4486⨳⩥⨓⊺⇮1492)=NaN","reverse_text":"NaN=((⊺⇮1460↙⊺⇮2926)⫘(⊺⇮2267⫠↝⫳)⋷(⊖⊺⇮4018)∑⇟⊟(⊺⇮2366⇮⋭⊺⇮4437))∠⫱((⊺⇮3230⨝⩣∺)⫥∨⫟(⊺⇮1692∙⊟⊺⇮3583))⪘⫢⊺⇮1184⫁⊺⇮3618≦↸(⊺⇮4486⨳⩥⨓⊺⇮1492)","cot":[{"info":"⊺⇮1460↙⊺⇮2926=⊺⇮-8778","layer":3},{"info":"⊺⇮2267⫠↝⫳=⊺⇮73167","layer":3},{"info":"⊺⇮-8778⫘⊺⇮73167=⊺⇮38700719","layer":2},{"info":"⊖⊺⇮4018=⊺⇮0","layer":3},{"info":"⊺⇮2366⇮⋭⊺⇮4437=⊺⇮-473","layer":3},{"info":"⊺⇮0∑⇟⊟⊺⇮-473=NaN","layer":2},{"info":"⊺⇮38700719⋷NaN=NaN","layer":1},{"info":"⊺⇮3230⨝⩣∺=⊺⇮-6460","layer":3},{"info":"⊺⇮1692∙⊟⊺⇮3583=⊺⇮31842","layer":3},{"info":"⊺⇮-6460⫥∨⫟⊺⇮31842=NaN","layer":2},{"info":"⊺⇮1184⫁⊺⇮3618=⊺⇮160","layer":3},{"info":"⊺⇮4486⨳⩥⨓⊺⇮1492=⊺⇮-2994","layer":3},{"info":"⊺⇮160≦↸⊺⇮-2994=⊺⇮521","layer":2},{"info":"NaN⪘⫢⊺⇮521=NaN","layer":1},{"info":"NaN∠⫱NaN=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"(($3618$⨵⪆$2235$)∠⫱$4407$⩦$1249$)↹⊜(⊵⊁($1367$⫉⨲⊜$7824$))⊍⩺⋍((↴⪽⋼$2673$)⋥≓≎$1571$∳⫺$1066$)⊝⪿⪼(⊈(⇜$4535$))","expression":"((⊺⇮3618⨵⪆⊺⇮2235)∠⫱⊺⇮4407⩦⊺⇮1249)↹⊜(⊵⊁(⊺⇮1367⫉⨲⊜⊺⇮7824))⊍⩺⋍((↴⪽⋼⊺⇮2673)⋥≓≎⊺⇮1571∳⫺⊺⇮1066)⊝⪿⪼(⊈(⇜⊺⇮4535))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":701,"operation_count":13,"complexity_ratio":53.92307692307692,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3618,"base":10},"right_expr":{"type":"numeric_atoms","value":2235,"base":10}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4407,"base":10},"right_expr":{"type":"numeric_atoms","value":1249,"base":10}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1367,"base":10},"right_expr":{"type":"numeric_atoms","value":7824,"base":10}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":2673,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1571,"base":10},"right_expr":{"type":"numeric_atoms","value":1066,"base":10}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4535,"base":10}}}}},"used_operators":["OXDGMFPWZM","9bazX3JMtO","QvoQhV0rrE","2DQ55sFlQl","0kmYd0q39Y","AvED76WdY7","WhqkvtTD3t","3Oe9XWJUTD","Qy55tPpLXF","5TUYCnJO6w","AzXXKTstlj","RHru8klgy8","lFBm8KRb8F"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","uBihLCJcMX","k8jYdgA6NY","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","12rbrZMWeM","xUOZtlo3hN","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3618","layer":4},{"info":"number node, value=2235","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=2235, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4407","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=4407, right_input=1249, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8814","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=8814, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=1367","layer":4},{"info":"number node, value=7824","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=7824, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=2673","layer":4},{"info":"compute unary expreesion, input=2673, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=2673","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=1066, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=2673, right_input=-260, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3160","layer":2},{"info":"number node, value=4535","layer":4},{"info":"compute unary expreesion, input=4535, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-36688","layer":3},{"info":"compute unary expreesion, input=-36688, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=36514","layer":2},{"info":"compute binary expreesion, left_input=-3160, right_input=36514, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-37468","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-37468, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3618⨵⪆⊺⇮2235)∠⫱⊺⇮4407⩦⊺⇮1249)↹⊜(⊵⊁(⊺⇮1367⫉⨲⊜⊺⇮7824))⊍⩺⋍((↴⪽⋼⊺⇮2673)⋥≓≎⊺⇮1571∳⫺⊺⇮1066)⊝⪿⪼(⊈(⇜⊺⇮4535))=NaN","reverse_text":"NaN=((⊺⇮3618⨵⪆⊺⇮2235)∠⫱⊺⇮4407⩦⊺⇮1249)↹⊜(⊵⊁(⊺⇮1367⫉⨲⊜⊺⇮7824))⊍⩺⋍((↴⪽⋼⊺⇮2673)⋥≓≎⊺⇮1571∳⫺⊺⇮1066)⊝⪿⪼(⊈(⇜⊺⇮4535))","cot":[{"info":"⊺⇮3618⨵⪆⊺⇮2235=⊺⇮160","layer":3},{"info":"⊺⇮4407⩦⊺⇮1249=⊺⇮8814","layer":3},{"info":"⊺⇮160∠⫱⊺⇮8814=⊺⇮1234","layer":2},{"info":"⊺⇮1367⫉⨲⊜⊺⇮7824=⊺⇮0","layer":3},{"info":"⊵⊁⊺⇮0=NaN","layer":2},{"info":"⊺⇮1234↹⊜NaN=NaN","layer":1},{"info":"↴⪽⋼⊺⇮2673=⊺⇮2673","layer":3},{"info":"⊺⇮1571∳⫺⊺⇮1066=⊺⇮-260","layer":3},{"info":"⊺⇮2673⋥≓≎⊺⇮-260=⊺⇮-3160","layer":2},{"info":"⇜⊺⇮4535=⊺⇮-36688","layer":3},{"info":"⊈⊺⇮-36688=⊺⇮36514","layer":2},{"info":"⊺⇮-3160⊝⪿⪼⊺⇮36514=⊺⇮-37468","layer":1},{"info":"NaN⊍⩺⋍⊺⇮-37468=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"⇜(≱⇩⩕($5065$⊋≦⊧$9128$)≀⫉$4602$∳⫺$3504$)","expression":"⇜(≱⇩⩕(⊺⇮5065⊋≦⊧⊺⇮9128)≀⫉⊺⇮4602∳⫺⊺⇮3504)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":425,"operation_count":5,"complexity_ratio":85.0,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5065,"base":10},"right_expr":{"type":"numeric_atoms","value":9128,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4602,"base":10},"right_expr":{"type":"numeric_atoms","value":3504,"base":10}}}}},"used_operators":["lFBm8KRb8F","3DZMoQKiUl","oZj3VtZNQx","oRDoc9rAEX","AzXXKTstlj"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⊺⇮-2072","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5065","layer":4},{"info":"number node, value=9128","layer":4},{"info":"compute binary expreesion, left_input=5065, right_input=9128, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-13953","layer":3},{"info":"number node, value=4602","layer":4},{"info":"number node, value=3504","layer":4},{"info":"compute binary expreesion, left_input=4602, right_input=3504, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-13953, right_input=-260, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-2072","layer":0}],"base":10,"result_base":10,"text":"⇜(≱⇩⩕(⊺⇮5065⊋≦⊧⊺⇮9128)≀⫉⊺⇮4602∳⫺⊺⇮3504)=⊺⇮-2072","reverse_text":"⊺⇮-2072=⇜(≱⇩⩕(⊺⇮5065⊋≦⊧⊺⇮9128)≀⫉⊺⇮4602∳⫺⊺⇮3504)","cot":[{"info":"⊺⇮5065⊋≦⊧⊺⇮9128=⊺⇮-13953","layer":3},{"info":"⊺⇮4602∳⫺⊺⇮3504=⊺⇮-260","layer":3},{"info":"⊺⇮-13953≀⫉⊺⇮-260=⊺⇮2822","layer":2},{"info":"≱⇩⩕⊺⇮2822=⊺⇮113","layer":1},{"info":"⇜⊺⇮113=⊺⇮-2072","layer":0}]}
{"id":579,"expression_no_base_symbol":"(($2172$≚⊃≕$3485$⫔⩽⩺$4463$⪚$3234$)⩎⪣⊞)⪨≂(≑⋹($4445$∓⋝$4373$))⩺⪪(⇖⫷⫕$6967$)⋅⇍$6200$⨻⩈⩔$2670$","expression":"((⊺⇮2172≚⊃≕⊺⇮3485⫔⩽⩺⊺⇮4463⪚⊺⇮3234)⩎⪣⊞)⪨≂(≑⋹(⊺⇮4445∓⋝⊺⇮4373))⩺⪪(⇖⫷⫕⊺⇮6967)⋅⇍⊺⇮6200⨻⩈⩔⊺⇮2670","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1567,"operation_count":11,"complexity_ratio":142.45454545454547,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2172,"base":10},"right_expr":{"type":"numeric_atoms","value":3485,"base":10}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4463,"base":10},"right_expr":{"type":"numeric_atoms","value":3234,"base":10}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4445,"base":10},"right_expr":{"type":"numeric_atoms","value":4373,"base":10}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":6967,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6200,"base":10},"right_expr":{"type":"numeric_atoms","value":2670,"base":10}}}}},"used_operators":["sdazOOVcIp","waWucp1uQ4","i9eR4S00cU","Bmrmz2XGnR","HrjLwUk87U","uvdQJvN4PV","6B9nyZLogK","PoHhknlbAi","AdZkA7nFnk","UHmRx3INFg","nEsXyWgiOK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2172","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=3485, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=4463","layer":4},{"info":"number node, value=3234","layer":4},{"info":"compute binary expreesion, left_input=4463, right_input=3234, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2102","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2102, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":1},{"info":"number node, value=4445","layer":4},{"info":"number node, value=4373","layer":4},{"info":"compute binary expreesion, left_input=4445, right_input=4373, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"number node, value=6967","layer":4},{"info":"compute unary expreesion, input=6967, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=6200","layer":4},{"info":"number node, value=2670","layer":4},{"info":"compute binary expreesion, left_input=6200, right_input=2670, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=41199","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=41199, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=-22, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2172≚⊃≕⊺⇮3485⫔⩽⩺⊺⇮4463⪚⊺⇮3234)⩎⪣⊞)⪨≂(≑⋹(⊺⇮4445∓⋝⊺⇮4373))⩺⪪(⇖⫷⫕⊺⇮6967)⋅⇍⊺⇮6200⨻⩈⩔⊺⇮2670=NaN","reverse_text":"NaN=((⊺⇮2172≚⊃≕⊺⇮3485⫔⩽⩺⊺⇮4463⪚⊺⇮3234)⩎⪣⊞)⪨≂(≑⋹(⊺⇮4445∓⋝⊺⇮4373))⩺⪪(⇖⫷⫕⊺⇮6967)⋅⇍⊺⇮6200⨻⩈⩔⊺⇮2670","cot":[{"info":"⊺⇮2172≚⊃≕⊺⇮3485=⊺⇮67","layer":3},{"info":"⊺⇮4463⪚⊺⇮3234=⊺⇮2102","layer":3},{"info":"⊺⇮67⫔⩽⩺⊺⇮2102=NaN","layer":2},{"info":"NaN⩎⪣⊞=NaN","layer":1},{"info":"⊺⇮4445∓⋝⊺⇮4373=⊺⇮67","layer":3},{"info":"≑⋹⊺⇮67=⊺⇮-766","layer":2},{"info":"⇖⫷⫕⊺⇮6967=⊺⇮2822","layer":3},{"info":"⊺⇮6200⨻⩈⩔⊺⇮2670=⊺⇮41199","layer":3},{"info":"⊺⇮2822⋅⇍⊺⇮41199=⊺⇮-22","layer":2},{"info":"⊺⇮-766⩺⪪⊺⇮-22=⊺⇮-1818","layer":1},{"info":"NaN⪨≂⊺⇮-1818=NaN","layer":0}]}
{"id":580,"expression_no_base_symbol":"($2538$∌$1111$⊝⪿⪼$5230$⇻⋧≁$1694$)⩇∃⫛($2156$⋳⪒$2564$)≹⇙⪍$1670$↞⋁$1393$⊭↱(⋗⩴⪓(⨡↴$1567$⨻⩈⩔$2267$))","expression":"(⊺⇮2538∌⊺⇮1111⊝⪿⪼⊺⇮5230⇻⋧≁⊺⇮1694)⩇∃⫛(⊺⇮2156⋳⪒⊺⇮2564)≹⇙⪍⊺⇮1670↞⋁⊺⇮1393⊭↱(⋗⩴⪓(⨡↴⊺⇮1567⨻⩈⩔⊺⇮2267))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10823,"operation_count":11,"complexity_ratio":983.9090909090909,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2538,"base":10},"right_expr":{"type":"numeric_atoms","value":1111,"base":10}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5230,"base":10},"right_expr":{"type":"numeric_atoms","value":1694,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2156,"base":10},"right_expr":{"type":"numeric_atoms","value":2564,"base":10}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1670,"base":10},"right_expr":{"type":"numeric_atoms","value":1393,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1567,"base":10},"right_expr":{"type":"numeric_atoms","value":2267,"base":10}}}}},"used_operators":["COABgblf1C","1aApVXNlOP","3Oe9XWJUTD","8cLx32lpNA","jCPkEVoL5K","AHs5Up7iyr","12rbrZMWeM","RqrPlJkxDo","nOKPl9n5zu","liw5iZPkLH","nEsXyWgiOK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","W4YGzv6Whe","P8v4zCKN1o","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2538","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=2538, right_input=1111, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1111","layer":3},{"info":"number node, value=5230","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=5230, right_input=1694, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-1111, right_input=-447, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-6733","layer":2},{"info":"number node, value=2156","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=2564, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1461","layer":3},{"info":"number node, value=1670","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=1393, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1461, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6733, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"number node, value=1567","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=2267, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=4135","layer":3},{"info":"compute unary expreesion, input=4135, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5184","layer":2},{"info":"compute unary expreesion, input=5184, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-4271","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4271, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2538∌⊺⇮1111⊝⪿⪼⊺⇮5230⇻⋧≁⊺⇮1694)⩇∃⫛(⊺⇮2156⋳⪒⊺⇮2564)≹⇙⪍⊺⇮1670↞⋁⊺⇮1393⊭↱(⋗⩴⪓(⨡↴⊺⇮1567⨻⩈⩔⊺⇮2267))=NaN","reverse_text":"NaN=(⊺⇮2538∌⊺⇮1111⊝⪿⪼⊺⇮5230⇻⋧≁⊺⇮1694)⩇∃⫛(⊺⇮2156⋳⪒⊺⇮2564)≹⇙⪍⊺⇮1670↞⋁⊺⇮1393⊭↱(⋗⩴⪓(⨡↴⊺⇮1567⨻⩈⩔⊺⇮2267))","cot":[{"info":"⊺⇮2538∌⊺⇮1111=⊺⇮-1111","layer":3},{"info":"⊺⇮5230⇻⋧≁⊺⇮1694=⊺⇮-447","layer":3},{"info":"⊺⇮-1111⊝⪿⪼⊺⇮-447=⊺⇮-6733","layer":2},{"info":"⊺⇮2156⋳⪒⊺⇮2564=⊺⇮1461","layer":3},{"info":"⊺⇮1670↞⋁⊺⇮1393=NaN","layer":3},{"info":"⊺⇮1461≹⇙⪍NaN=NaN","layer":2},{"info":"⊺⇮-6733⩇∃⫛NaN=NaN","layer":1},{"info":"⊺⇮1567⨻⩈⩔⊺⇮2267=⊺⇮4135","layer":3},{"info":"⨡↴⊺⇮4135=⊺⇮5184","layer":2},{"info":"⋗⩴⪓⊺⇮5184=⊺⇮-4271","layer":1},{"info":"NaN⊭↱⊺⇮-4271=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"((($2430$≥⨤⩑$2092$)⊋≦⊧($1518$⋻⩜⩜$1431$))∣(($3342$≀⩗∶$2936$)⨳⩥⨓(↘$1170$)))⪃⊛⇣(($1388$⨲∙)≴⪞⇿($2706$+⪬∐$4433$)∕⩚$2768$⨭⪣$8091$%$1258$∥⊢⊲$1551$)","expression":"(((⊺⇮2430≥⨤⩑⊺⇮2092)⊋≦⊧(⊺⇮1518⋻⩜⩜⊺⇮1431))∣((⊺⇮3342≀⩗∶⊺⇮2936)⨳⩥⨓(↘⊺⇮1170)))⪃⊛⇣((⊺⇮1388⨲∙)≴⪞⇿(⊺⇮2706+⪬∐⊺⇮4433)∕⩚⊺⇮2768⨭⪣⊺⇮8091%⊺⇮1258∥⊢⊲⊺⇮1551)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":16969109,"operation_count":15,"complexity_ratio":1131273.9333333333,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2430,"base":10},"right_expr":{"type":"numeric_atoms","value":2092,"base":10}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1518,"base":10},"right_expr":{"type":"numeric_atoms","value":1431,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3342,"base":10},"right_expr":{"type":"numeric_atoms","value":2936,"base":10}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1170,"base":10}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1388,"base":10}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2706,"base":10},"right_expr":{"type":"numeric_atoms","value":4433,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2768,"base":10},"right_expr":{"type":"numeric_atoms","value":8091,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1258,"base":10},"right_expr":{"type":"numeric_atoms","value":1551,"base":10}}}}},"used_operators":["rrgAzCduG9","PPChnnnBFF","oRDoc9rAEX","gJLn6v0xnP","oDCm7WA9JY","nCS4ZIUYfx","8INZBEW696","LdNpr8hQHL","z9ffQ9n5Zr","lvlrscuwVU","cRahaglYVE","2GS7woTJqF","k8jYdgA6NY","kn8WO9XteQ","v1UQAVDJRr"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","uFcxV4UQCh","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","EBcxylXtPf","rGHVDoGpnC"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2430","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=2092, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1518","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=1431, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3036","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3036, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-4030","layer":2},{"info":"number node, value=3342","layer":4},{"info":"number node, value=2936","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=2936, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1170","layer":4},{"info":"compute unary expreesion, input=1170, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=386","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=386, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=386","layer":2},{"info":"compute binary expreesion, left_input=-4030, right_input=386, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-4030","layer":1},{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=16948166","layer":3},{"info":"number node, value=2706","layer":4},{"info":"number node, value=4433","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=4433, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8118","layer":3},{"info":"compute binary expreesion, left_input=16948166, right_input=-8118, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":2},{"info":"number node, value=2768","layer":4},{"info":"number node, value=8091","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=8091, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1489","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1551, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1489, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=-4030, right_input=-487, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2430≥⨤⩑⊺⇮2092)⊋≦⊧(⊺⇮1518⋻⩜⩜⊺⇮1431))∣((⊺⇮3342≀⩗∶⊺⇮2936)⨳⩥⨓(↘⊺⇮1170)))⪃⊛⇣((⊺⇮1388⨲∙)≴⪞⇿(⊺⇮2706+⪬∐⊺⇮4433)∕⩚⊺⇮2768⨭⪣⊺⇮8091%⊺⇮1258∥⊢⊲⊺⇮1551)=⊺⇮1234","reverse_text":"⊺⇮1234=(((⊺⇮2430≥⨤⩑⊺⇮2092)⊋≦⊧(⊺⇮1518⋻⩜⩜⊺⇮1431))∣((⊺⇮3342≀⩗∶⊺⇮2936)⨳⩥⨓(↘⊺⇮1170)))⪃⊛⇣((⊺⇮1388⨲∙)≴⪞⇿(⊺⇮2706+⪬∐⊺⇮4433)∕⩚⊺⇮2768⨭⪣⊺⇮8091%⊺⇮1258∥⊢⊲⊺⇮1551)","cot":[{"info":"⊺⇮2430≥⨤⩑⊺⇮2092=⊺⇮1234","layer":3},{"info":"⊺⇮1518⋻⩜⩜⊺⇮1431=⊺⇮3036","layer":3},{"info":"⊺⇮1234⊋≦⊧⊺⇮3036=⊺⇮-4030","layer":2},{"info":"⊺⇮3342≀⩗∶⊺⇮2936=⊺⇮0","layer":3},{"info":"↘⊺⇮1170=⊺⇮386","layer":3},{"info":"⊺⇮0⨳⩥⨓⊺⇮386=⊺⇮386","layer":2},{"info":"⊺⇮-4030∣⊺⇮386=⊺⇮-4030","layer":1},{"info":"⊺⇮1388⨲∙=⊺⇮16948166","layer":3},{"info":"⊺⇮2706+⪬∐⊺⇮4433=⊺⇮-8118","layer":3},{"info":"⊺⇮16948166≴⪞⇿⊺⇮-8118=Inf","layer":2},{"info":"⊺⇮2768⨭⪣⊺⇮8091=⊺⇮1489","layer":3},{"info":"⊺⇮1258∥⊢⊲⊺⇮1551=NaN","layer":3},{"info":"⊺⇮1489%NaN=NaN","layer":2},{"info":"Inf∕⩚NaN=⊺⇮-487","layer":1},{"info":"⊺⇮-4030⪃⊛⇣⊺⇮-487=⊺⇮1234","layer":0}]}
{"id":582,"expression_no_base_symbol":"((⊬↢$1199$)⫲)⋹⋡⊁(($1102$⨼⩣$1000$)∊∟⩊($5467$∖$1579$))⩒⫫((∜⨇($1729$⩵∡$1082$))⊚⫡⫭)","expression":"((⊬↢⊺⇮1199)⫲)⋹⋡⊁((⊺⇮1102⨼⩣⊺⇮1000)∊∟⩊(⊺⇮5467∖⊺⇮1579))⩒⫫((∜⨇(⊺⇮1729⩵∡⊺⇮1082))⊚⫡⫭)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2062,"operation_count":10,"complexity_ratio":206.2,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1199,"base":10}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1102,"base":10},"right_expr":{"type":"numeric_atoms","value":1000,"base":10}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5467,"base":10},"right_expr":{"type":"numeric_atoms","value":1579,"base":10}}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1729,"base":10},"right_expr":{"type":"numeric_atoms","value":1082,"base":10}}}}},"used_operators":["KFSx94NKJn","As8RqfVLgs","9xnGDUPbC6","WPoGxAaPR1","ddLRYrp01A","JxwMv5le6e","tXD093vOjl","SpZWOsLKZJ","uFPyJr306J","Y7wcNGrDQJ"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":4},{"info":"compute unary expreesion, input=1199, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-55","layer":2},{"info":"number node, value=1102","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1000, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=5467","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=5467, right_input=1579, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=618","layer":1},{"info":"number node, value=1729","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=1082, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2497","layer":3},{"info":"compute unary expreesion, input=-2497, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=618, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊬↢⊺⇮1199)⫲)⋹⋡⊁((⊺⇮1102⨼⩣⊺⇮1000)∊∟⩊(⊺⇮5467∖⊺⇮1579))⩒⫫((∜⨇(⊺⇮1729⩵∡⊺⇮1082))⊚⫡⫭)=NaN","reverse_text":"NaN=((⊬↢⊺⇮1199)⫲)⋹⋡⊁((⊺⇮1102⨼⩣⊺⇮1000)∊∟⩊(⊺⇮5467∖⊺⇮1579))⩒⫫((∜⨇(⊺⇮1729⩵∡⊺⇮1082))⊚⫡⫭)","cot":[{"info":"⊬↢⊺⇮1199=⊺⇮218","layer":3},{"info":"⊺⇮218⫲=⊺⇮-55","layer":2},{"info":"⊺⇮1102⨼⩣⊺⇮1000=NaN","layer":3},{"info":"⊺⇮5467∖⊺⇮1579=⊺⇮0","layer":3},{"info":"NaN∊∟⩊⊺⇮0=NaN","layer":2},{"info":"⊺⇮-55⋹⋡⊁NaN=⊺⇮618","layer":1},{"info":"⊺⇮1729⩵∡⊺⇮1082=⊺⇮-2497","layer":3},{"info":"∜⨇⊺⇮-2497=NaN","layer":2},{"info":"NaN⊚⫡⫭=NaN","layer":1},{"info":"⊺⇮618⩒⫫NaN=NaN","layer":0}]}
{"id":583,"expression_no_base_symbol":"((⩎⋉($1320$≭$9296$))↫)⨳⩥⨓($6607$⪮%⊝$1131$+$5920$⨐$4730$)∇⊂⋱($2367$⪕$1533$∖$2850$⨓$2650$)","expression":"((⩎⋉(⊺⇮1320≭⊺⇮9296))↫)⨳⩥⨓(⊺⇮6607⪮%⊝⊺⇮1131+⊺⇮5920⨐⊺⇮4730)∇⊂⋱(⊺⇮2367⪕⊺⇮1533∖⊺⇮2850⨓⊺⇮2650)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2936,"operation_count":11,"complexity_ratio":266.90909090909093,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1320,"base":10},"right_expr":{"type":"numeric_atoms","value":9296,"base":10}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6607,"base":10},"right_expr":{"type":"numeric_atoms","value":1131,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5920,"base":10},"right_expr":{"type":"numeric_atoms","value":4730,"base":10}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2367,"base":10},"right_expr":{"type":"numeric_atoms","value":1533,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2850,"base":10},"right_expr":{"type":"numeric_atoms","value":2650,"base":10}}}}},"used_operators":["nCS4ZIUYfx","uPb5QRN0te","FlXk3pOYe8","rxpJgHHUmx","nhYeJWJD5X","W4YGzv6Whe","IWmyXbctLI","Noe24qw2ks","tXD093vOjl","umQnsF7QlU","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","AHs5Up7iyr","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮2674","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":4},{"info":"number node, value=9296","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=9296, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"number node, value=6607","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=6607, right_input=1131, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13530","layer":3},{"info":"number node, value=5920","layer":4},{"info":"number node, value=4730","layer":4},{"info":"compute binary expreesion, left_input=5920, right_input=4730, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-11840","layer":3},{"info":"compute binary expreesion, left_input=13530, right_input=-11840, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1690","layer":2},{"info":"number node, value=2367","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=2367, right_input=1533, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4102","layer":3},{"info":"number node, value=2850","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=2850, right_input=2650, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2653","layer":3},{"info":"compute binary expreesion, left_input=4102, right_input=-2653, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1690, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2834","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=2834, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2674","layer":0}],"base":10,"result_base":10,"text":"((⩎⋉(⊺⇮1320≭⊺⇮9296))↫)⨳⩥⨓(⊺⇮6607⪮%⊝⊺⇮1131+⊺⇮5920⨐⊺⇮4730)∇⊂⋱(⊺⇮2367⪕⊺⇮1533∖⊺⇮2850⨓⊺⇮2650)=⊺⇮2674","reverse_text":"⊺⇮2674=((⩎⋉(⊺⇮1320≭⊺⇮9296))↫)⨳⩥⨓(⊺⇮6607⪮%⊝⊺⇮1131+⊺⇮5920⨐⊺⇮4730)∇⊂⋱(⊺⇮2367⪕⊺⇮1533∖⊺⇮2850⨓⊺⇮2650)","cot":[{"info":"⊺⇮1320≭⊺⇮9296=NaN","layer":3},{"info":"⩎⋉NaN=NaN","layer":2},{"info":"NaN↫=⊺⇮160","layer":1},{"info":"⊺⇮6607⪮%⊝⊺⇮1131=⊺⇮13530","layer":3},{"info":"⊺⇮5920⨐⊺⇮4730=⊺⇮-11840","layer":3},{"info":"⊺⇮13530+⊺⇮-11840=⊺⇮1690","layer":2},{"info":"⊺⇮2367⪕⊺⇮1533=⊺⇮4102","layer":3},{"info":"⊺⇮2850⨓⊺⇮2650=⊺⇮-2653","layer":3},{"info":"⊺⇮4102∖⊺⇮-2653=⊺⇮0","layer":2},{"info":"⊺⇮1690∇⊂⋱⊺⇮0=⊺⇮2834","layer":1},{"info":"⊺⇮160⨳⩥⨓⊺⇮2834=⊺⇮2674","layer":0}]}
{"id":584,"expression_no_base_symbol":"((∨∊⋏($3534$⇉⇉))⪛((⩒∊$1392$)⫲≸⪮$2381$⨔⇊$1248$))⫞⩸⩒(⊬↢($1327$⫣⪄⊒$1018$⪒⊣⊆($4763$↸$2649$)))","expression":"((∨∊⋏(⊺⇮3534⇉⇉))⪛((⩒∊⊺⇮1392)⫲≸⪮⊺⇮2381⨔⇊⊺⇮1248))⫞⩸⩒(⊬↢(⊺⇮1327⫣⪄⊒⊺⇮1018⪒⊣⊆(⊺⇮4763↸⊺⇮2649)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":26361,"operation_count":11,"complexity_ratio":2396.4545454545455,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":3534,"base":10}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1392,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2381,"base":10},"right_expr":{"type":"numeric_atoms","value":1248,"base":10}}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1327,"base":10},"right_expr":{"type":"numeric_atoms","value":1018,"base":10}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4763,"base":10},"right_expr":{"type":"numeric_atoms","value":2649,"base":10}}}}},"used_operators":["XGcMNugi78","uFcxV4UQCh","R5aXW34M0v","diKm42VcIt","P3lXMJvFrc","qazvmhNBbN","JclMnS0uGI","WPoGxAaPR1","eRqsBgTDFp","RabNbG55vr","1eCjFl0mb9"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","sdazOOVcIp","W4YGzv6Whe","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⊺⇮218","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3534","layer":4},{"info":"compute unary expreesion, input=3534, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-225568","layer":3},{"info":"compute unary expreesion, input=-225568, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-6326393","layer":2},{"info":"number node, value=1392","layer":4},{"info":"compute unary expreesion, input=1392, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2027","layer":3},{"info":"number node, value=2381","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=1248, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1248","layer":3},{"info":"compute binary expreesion, left_input=2027, right_input=1248, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2027","layer":2},{"info":"compute binary expreesion, left_input=-6326393, right_input=2027, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1901","layer":1},{"info":"number node, value=1327","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=1018, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-3966","layer":3},{"info":"number node, value=4763","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=4763, right_input=2649, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4763","layer":3},{"info":"compute binary expreesion, left_input=-3966, right_input=4763, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=17560","layer":2},{"info":"compute unary expreesion, input=17560, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"compute binary expreesion, left_input=1901, right_input=218, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=218","layer":0}],"base":10,"result_base":10,"text":"((∨∊⋏(⊺⇮3534⇉⇉))⪛((⩒∊⊺⇮1392)⫲≸⪮⊺⇮2381⨔⇊⊺⇮1248))⫞⩸⩒(⊬↢(⊺⇮1327⫣⪄⊒⊺⇮1018⪒⊣⊆(⊺⇮4763↸⊺⇮2649)))=⊺⇮218","reverse_text":"⊺⇮218=((∨∊⋏(⊺⇮3534⇉⇉))⪛((⩒∊⊺⇮1392)⫲≸⪮⊺⇮2381⨔⇊⊺⇮1248))⫞⩸⩒(⊬↢(⊺⇮1327⫣⪄⊒⊺⇮1018⪒⊣⊆(⊺⇮4763↸⊺⇮2649)))","cot":[{"info":"⊺⇮3534⇉⇉=⊺⇮-225568","layer":3},{"info":"∨∊⋏⊺⇮-225568=⊺⇮-6326393","layer":2},{"info":"⩒∊⊺⇮1392=⊺⇮2027","layer":3},{"info":"⊺⇮2381⨔⇊⊺⇮1248=⊺⇮1248","layer":3},{"info":"⊺⇮2027⫲≸⪮⊺⇮1248=⊺⇮2027","layer":2},{"info":"⊺⇮-6326393⪛⊺⇮2027=⊺⇮1901","layer":1},{"info":"⊺⇮1327⫣⪄⊒⊺⇮1018=⊺⇮-3966","layer":3},{"info":"⊺⇮4763↸⊺⇮2649=⊺⇮4763","layer":3},{"info":"⊺⇮-3966⪒⊣⊆⊺⇮4763=⊺⇮17560","layer":2},{"info":"⊬↢⊺⇮17560=⊺⇮218","layer":1},{"info":"⊺⇮1901⫞⩸⩒⊺⇮218=⊺⇮218","layer":0}]}
{"id":585,"expression_no_base_symbol":"(≦∁(($2298$⇼⇔∾$1025$)∴≳≥))⪪((⫟$8286$)⨫⇇↔$3903$≁$1076$-(↨⩢⫨$4149$⨜⨶$5016$))","expression":"(≦∁((⊺⇮2298⇼⇔∾⊺⇮1025)∴≳≥))⪪((⫟⊺⇮8286)⨫⇇↔⊺⇮3903≁⊺⇮1076-(↨⩢⫨⊺⇮4149⨜⨶⊺⇮5016))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":571,"operation_count":10,"complexity_ratio":57.1,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2298,"base":10},"right_expr":{"type":"numeric_atoms","value":1025,"base":10}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":8286,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3903,"base":10},"right_expr":{"type":"numeric_atoms","value":1076,"base":10}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4149,"base":10},"right_expr":{"type":"numeric_atoms","value":5016,"base":10}}}}},"used_operators":["xD69zh8xqp","9ICcGScMcE","a3N2hFLK0J","tifHPKVTfV","rysDP5nf3Z","LXhwmt4mBO","z4E1FaHLuy","8N2wDY1A35","Z5CJsN7DuW","HiPekx5b7W"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⊺⇮-6206","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2298","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=1025, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1273","layer":3},{"info":"compute unary expreesion, input=-1273, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-5092","layer":2},{"info":"compute unary expreesion, input=-5092, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"number node, value=8286","layer":4},{"info":"compute unary expreesion, input=8286, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-23951","layer":3},{"info":"number node, value=3903","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=1076, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=12623","layer":3},{"info":"compute binary expreesion, left_input=-23951, right_input=12623, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=4149","layer":4},{"info":"number node, value=5016","layer":4},{"info":"compute binary expreesion, left_input=4149, right_input=5016, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-9776","layer":3},{"info":"compute unary expreesion, input=-9776, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-527","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-527, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":10,"result_base":10,"text":"(≦∁((⊺⇮2298⇼⇔∾⊺⇮1025)∴≳≥))⪪((⫟⊺⇮8286)⨫⇇↔⊺⇮3903≁⊺⇮1076-(↨⩢⫨⊺⇮4149⨜⨶⊺⇮5016))=⊺⇮-6206","reverse_text":"⊺⇮-6206=(≦∁((⊺⇮2298⇼⇔∾⊺⇮1025)∴≳≥))⪪((⫟⊺⇮8286)⨫⇇↔⊺⇮3903≁⊺⇮1076-(↨⩢⫨⊺⇮4149⨜⨶⊺⇮5016))","cot":[{"info":"⊺⇮2298⇼⇔∾⊺⇮1025=⊺⇮-1273","layer":3},{"info":"⊺⇮-1273∴≳≥=⊺⇮-5092","layer":2},{"info":"≦∁⊺⇮-5092=⊺⇮67","layer":1},{"info":"⫟⊺⇮8286=⊺⇮-23951","layer":3},{"info":"⊺⇮3903≁⊺⇮1076=⊺⇮12623","layer":3},{"info":"⊺⇮-23951⨫⇇↔⊺⇮12623=⊺⇮-527","layer":2},{"info":"⊺⇮4149⨜⨶⊺⇮5016=⊺⇮-9776","layer":3},{"info":"↨⩢⫨⊺⇮-9776=⊺⇮0","layer":2},{"info":"⊺⇮-527-⊺⇮0=⊺⇮-527","layer":1},{"info":"⊺⇮67⪪⊺⇮-527=⊺⇮-6206","layer":0}]}
{"id":586,"expression_no_base_symbol":"((⩦⩻⨪$5234$)≠≀(↘$1295$)⨭⪣(⇋↷$1513$)⊬⨰(↑$1158$))⋥⋵⩄(≤/(⩒∊$1205$))⇂≾⫗($7018$⩁⩘$2617$⩘(⇾⩊⇾$1046$))","expression":"((⩦⩻⨪⊺⇮5234)≠≀(↘⊺⇮1295)⨭⪣(⇋↷⊺⇮1513)⊬⨰(↑⊺⇮1158))⋥⋵⩄(≤/(⩒∊⊺⇮1205))⇂≾⫗(⊺⇮7018⩁⩘⊺⇮2617⩘(⇾⩊⇾⊺⇮1046))","highest_n_order":2,"priority_hierarchical_complexity":11,"normalized_expansion_degree":344,"operation_count":14,"complexity_ratio":24.571428571428573,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5234,"base":10}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1295,"base":10}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1513,"base":10}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1158,"base":10}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1205,"base":10}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":7018,"base":10},"right_expr":{"type":"numeric_atoms","value":2617,"base":10}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1046,"base":10}}}}},"used_operators":["7t3wd0Fuz7","kn8WO9XteQ","IwW236VD4Y","2td37pGCOC","LdNpr8hQHL","s3Fd5m9Dh2","SWo3A1KBJH","tR7O2zTn5j","aBQ6xLxuTc","eLAdDNolq6","qazvmhNBbN","cHh1gJQ2o6","gub5Cegaqo","bx9Z9DAK5y"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"⊺⇮-4142","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5234","layer":4},{"info":"compute unary expreesion, input=5234, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5234","layer":3},{"info":"number node, value=1295","layer":4},{"info":"compute unary expreesion, input=1295, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=119","layer":3},{"info":"compute binary expreesion, left_input=5234, right_input=119, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5474","layer":2},{"info":"number node, value=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12104","layer":3},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=12104, right_input=192, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11816","layer":2},{"info":"compute binary expreesion, left_input=-5474, right_input=11816, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4679","layer":1},{"info":"number node, value=1205","layer":4},{"info":"compute unary expreesion, input=1205, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1653","layer":3},{"info":"compute unary expreesion, input=1653, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1169","layer":2},{"info":"number node, value=7018","layer":4},{"info":"number node, value=2617","layer":4},{"info":"compute binary expreesion, left_input=7018, right_input=2617, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11416","layer":3},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-15900","layer":3},{"info":"compute binary expreesion, left_input=11416, right_input=-15900, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-1169, right_input=160, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=4679, right_input=-676, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=-4142","layer":0}],"base":10,"result_base":10,"text":"((⩦⩻⨪⊺⇮5234)≠≀(↘⊺⇮1295)⨭⪣(⇋↷⊺⇮1513)⊬⨰(↑⊺⇮1158))⋥⋵⩄(≤/(⩒∊⊺⇮1205))⇂≾⫗(⊺⇮7018⩁⩘⊺⇮2617⩘(⇾⩊⇾⊺⇮1046))=⊺⇮-4142","reverse_text":"⊺⇮-4142=((⩦⩻⨪⊺⇮5234)≠≀(↘⊺⇮1295)⨭⪣(⇋↷⊺⇮1513)⊬⨰(↑⊺⇮1158))⋥⋵⩄(≤/(⩒∊⊺⇮1205))⇂≾⫗(⊺⇮7018⩁⩘⊺⇮2617⩘(⇾⩊⇾⊺⇮1046))","cot":[{"info":"⩦⩻⨪⊺⇮5234=⊺⇮5234","layer":3},{"info":"↘⊺⇮1295=⊺⇮119","layer":3},{"info":"⊺⇮5234≠≀⊺⇮119=⊺⇮-5474","layer":2},{"info":"⇋↷⊺⇮1513=⊺⇮12104","layer":3},{"info":"↑⊺⇮1158=⊺⇮192","layer":3},{"info":"⊺⇮12104⊬⨰⊺⇮192=⊺⇮11816","layer":2},{"info":"⊺⇮-5474⨭⪣⊺⇮11816=⊺⇮4679","layer":1},{"info":"⩒∊⊺⇮1205=⊺⇮1653","layer":3},{"info":"≤/⊺⇮1653=⊺⇮-1169","layer":2},{"info":"⊺⇮7018⩁⩘⊺⇮2617=⊺⇮11416","layer":3},{"info":"⇾⩊⇾⊺⇮1046=⊺⇮-15900","layer":3},{"info":"⊺⇮11416⩘⊺⇮-15900=⊺⇮160","layer":2},{"info":"⊺⇮-1169⇂≾⫗⊺⇮160=⊺⇮-676","layer":1},{"info":"⊺⇮4679⋥⋵⩄⊺⇮-676=⊺⇮-4142","layer":0}]}
{"id":587,"expression_no_base_symbol":"((⩷⨜⫀($6258$⩌⋺$2076$))⫻⋑⊟)≥⨤⩑(($3876$⫦⪉$7911$)⨭⪣($2925$⊝))⊉↱≁(($1559$≳⇉$6315$)⊪)","expression":"((⩷⨜⫀(⊺⇮6258⩌⋺⊺⇮2076))⫻⋑⊟)≥⨤⩑((⊺⇮3876⫦⪉⊺⇮7911)⨭⪣(⊺⇮2925⊝))⊉↱≁((⊺⇮1559≳⇉⊺⇮6315)⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12831,"operation_count":10,"complexity_ratio":1283.1,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6258,"base":10},"right_expr":{"type":"numeric_atoms","value":2076,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3876,"base":10},"right_expr":{"type":"numeric_atoms","value":7911,"base":10}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":2925,"base":10}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1559,"base":10},"right_expr":{"type":"numeric_atoms","value":6315,"base":10}}}}},"used_operators":["gJLn6v0xnP","o575Zjdmzy","CDi0ktkjQ4","g7Hmc5v1ko","w2P8NbNXyL","kn8WO9XteQ","wscyQdcy20","O6EZ0fifGK","zVYPLywUTj","V0kx6qeWkN"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","ruOEQAzv1W","nhYeJWJD5X","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6258","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=6258, right_input=2076, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8455","layer":3},{"info":"compute unary expreesion, input=-8455, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"compute unary expreesion, input=-766, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=5106","layer":1},{"info":"number node, value=3876","layer":4},{"info":"number node, value=7911","layer":4},{"info":"compute binary expreesion, left_input=3876, right_input=7911, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2852","layer":3},{"info":"number node, value=2925","layer":4},{"info":"compute unary expreesion, input=2925, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=2925","layer":3},{"info":"compute binary expreesion, left_input=-2852, right_input=2925, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2057","layer":2},{"info":"number node, value=1559","layer":4},{"info":"number node, value=6315","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=6315, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2057, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5106, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"((⩷⨜⫀(⊺⇮6258⩌⋺⊺⇮2076))⫻⋑⊟)≥⨤⩑((⊺⇮3876⫦⪉⊺⇮7911)⨭⪣(⊺⇮2925⊝))⊉↱≁((⊺⇮1559≳⇉⊺⇮6315)⊪)=⊺⇮1234","reverse_text":"⊺⇮1234=((⩷⨜⫀(⊺⇮6258⩌⋺⊺⇮2076))⫻⋑⊟)≥⨤⩑((⊺⇮3876⫦⪉⊺⇮7911)⨭⪣(⊺⇮2925⊝))⊉↱≁((⊺⇮1559≳⇉⊺⇮6315)⊪)","cot":[{"info":"⊺⇮6258⩌⋺⊺⇮2076=⊺⇮-8455","layer":3},{"info":"⩷⨜⫀⊺⇮-8455=⊺⇮-766","layer":2},{"info":"⊺⇮-766⫻⋑⊟=⊺⇮5106","layer":1},{"info":"⊺⇮3876⫦⪉⊺⇮7911=⊺⇮-2852","layer":3},{"info":"⊺⇮2925⊝=⊺⇮2925","layer":3},{"info":"⊺⇮-2852⨭⪣⊺⇮2925=⊺⇮2057","layer":2},{"info":"⊺⇮1559≳⇉⊺⇮6315=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⊺⇮2057⊉↱≁NaN=NaN","layer":1},{"info":"⊺⇮5106≥⨤⩑NaN=⊺⇮1234","layer":0}]}
{"id":588,"expression_no_base_symbol":"⨞⊢(↨⩢⫨$4489$)⋕⪉⪜(⊄⩳↩$4122$)⋛(⪸($3524$⨳⩥⨓$4049$))","expression":"⨞⊢(↨⩢⫨⊺⇮4489)⋕⪉⪜(⊄⩳↩⊺⇮4122)⋛(⪸(⊺⇮3524⨳⩥⨓⊺⇮4049))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":190,"operation_count":7,"complexity_ratio":27.142857142857142,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":4489,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4122,"base":10}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3524,"base":10},"right_expr":{"type":"numeric_atoms","value":4049,"base":10}}}}},"used_operators":["xUOZtlo3hN","YbUVn0Rbpy","z6LnFrNh4i","Z5CJsN7DuW","8w2t5hMYqp","86A5ENbKR9","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z"],"result":"⊺⇮25329","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4489","layer":4},{"info":"compute unary expreesion, input=4489, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=4122","layer":4},{"info":"compute unary expreesion, input=4122, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12366","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12366, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=3524","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=3524, right_input=4049, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=525","layer":3},{"info":"compute unary expreesion, input=525, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-8716","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=-8716, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-25503","layer":1},{"info":"compute unary expreesion, input=-25503, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=25329","layer":0}],"base":10,"result_base":10,"text":"⨞⊢(↨⩢⫨⊺⇮4489)⋕⪉⪜(⊄⩳↩⊺⇮4122)⋛(⪸(⊺⇮3524⨳⩥⨓⊺⇮4049))=⊺⇮25329","reverse_text":"⊺⇮25329=⨞⊢(↨⩢⫨⊺⇮4489)⋕⪉⪜(⊄⩳↩⊺⇮4122)⋛(⪸(⊺⇮3524⨳⩥⨓⊺⇮4049))","cot":[{"info":"↨⩢⫨⊺⇮4489=⊺⇮0","layer":3},{"info":"⊄⩳↩⊺⇮4122=⊺⇮-12366","layer":3},{"info":"⊺⇮0⋕⪉⪜⊺⇮-12366=⊺⇮2802","layer":2},{"info":"⊺⇮3524⨳⩥⨓⊺⇮4049=⊺⇮525","layer":3},{"info":"⪸⊺⇮525=⊺⇮-8716","layer":2},{"info":"⊺⇮2802⋛⊺⇮-8716=⊺⇮-25503","layer":1},{"info":"⨞⊢⊺⇮-25503=⊺⇮25329","layer":0}]}
{"id":589,"expression_no_base_symbol":"((∤$7059$)∣($1411$⩤)%$1107$⨟⋌⩍$1469$⫸⊐$1228$∥⊢⊲$2036$)⇌⫙⪟(⪸(($1011$⩁)⊹∫⫚($2389$≥⨤⩑$2296$)))","expression":"((∤⊺⇮7059)∣(⊺⇮1411⩤)%⊺⇮1107⨟⋌⩍⊺⇮1469⫸⊐⊺⇮1228∥⊢⊲⊺⇮2036)⇌⫙⪟(⪸((⊺⇮1011⩁)⊹∫⫚(⊺⇮2389≥⨤⩑⊺⇮2296)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":123,"operation_count":12,"complexity_ratio":10.25,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":7059,"base":10}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1411,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1107,"base":10},"right_expr":{"type":"numeric_atoms","value":1469,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1228,"base":10},"right_expr":{"type":"numeric_atoms","value":2036,"base":10}}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":1011,"base":10}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2389,"base":10},"right_expr":{"type":"numeric_atoms","value":2296,"base":10}}}}},"used_operators":["AFVx7xoS7T","k8jYdgA6NY","PPChnnnBFF","k2HlF1dBQh","Z2TMIBDE3Q","mqXw5SEYmG","rGHVDoGpnC","v1UQAVDJRr","86A5ENbKR9","uWAJUKEvyW","5GqDbVmqXU","gJLn6v0xnP"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","EBcxylXtPf","rGHVDoGpnC","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7059","layer":4},{"info":"compute unary expreesion, input=7059, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1411","layer":4},{"info":"compute unary expreesion, input=1411, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1411","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-1411, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=948","layer":2},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1469, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1228","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=2036, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=948, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-5308","layer":3},{"info":"number node, value=2389","layer":4},{"info":"number node, value=2296","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=2296, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-5308, right_input=1234, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-212","layer":2},{"info":"compute unary expreesion, input=-212, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=222","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=222, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∤⊺⇮7059)∣(⊺⇮1411⩤)%⊺⇮1107⨟⋌⩍⊺⇮1469⫸⊐⊺⇮1228∥⊢⊲⊺⇮2036)⇌⫙⪟(⪸((⊺⇮1011⩁)⊹∫⫚(⊺⇮2389≥⨤⩑⊺⇮2296)))=NaN","reverse_text":"NaN=((∤⊺⇮7059)∣(⊺⇮1411⩤)%⊺⇮1107⨟⋌⩍⊺⇮1469⫸⊐⊺⇮1228∥⊢⊲⊺⇮2036)⇌⫙⪟(⪸((⊺⇮1011⩁)⊹∫⫚(⊺⇮2389≥⨤⩑⊺⇮2296)))","cot":[{"info":"∤⊺⇮7059=⊺⇮9","layer":3},{"info":"⊺⇮1411⩤=⊺⇮-1411","layer":3},{"info":"⊺⇮9∣⊺⇮-1411=⊺⇮948","layer":2},{"info":"⊺⇮1107⨟⋌⩍⊺⇮1469=NaN","layer":3},{"info":"⊺⇮1228∥⊢⊲⊺⇮2036=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"⊺⇮948%NaN=NaN","layer":1},{"info":"⊺⇮1011⩁=⊺⇮-5308","layer":3},{"info":"⊺⇮2389≥⨤⩑⊺⇮2296=⊺⇮1234","layer":3},{"info":"⊺⇮-5308⊹∫⫚⊺⇮1234=⊺⇮-212","layer":2},{"info":"⪸⊺⇮-212=⊺⇮222","layer":1},{"info":"NaN⇌⫙⪟⊺⇮222=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"(≛$1361$⪔$2632$)⋝⋈⪟(($5095$↫)∲⫓(-$2411$))≧⫂∧(⇖($8138$⫣⪄⊒$7421$⇮⋭($6131$≑≱⪘)))","expression":"(≛⊺⇮1361⪔⊺⇮2632)⋝⋈⪟((⊺⇮5095↫)∲⫓(-⊺⇮2411))≧⫂∧(⇖(⊺⇮8138⫣⪄⊒⊺⇮7421⇮⋭(⊺⇮6131≑≱⪘)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2937,"operation_count":11,"complexity_ratio":267.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1361,"base":10},"right_expr":{"type":"numeric_atoms","value":2632,"base":10}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":5095,"base":10}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2411,"base":10}}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":8138,"base":10},"right_expr":{"type":"numeric_atoms","value":7421,"base":10}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":6131,"base":10}}}}},"used_operators":["Ph9nP6C5qx","2DDjHMKMc0","W7eaUhjymW","GjBEYRfMaF","i8ToyICDmI","uPb5QRN0te","t8gj7n24qd","tfWHHpNKUN","vkpjKywKVM","RabNbG55vr","tGSeddj7UK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","2DQ55sFlQl","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"⊺⇮-313","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1361","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=2632, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"number node, value=5095","layer":4},{"info":"compute unary expreesion, input=5095, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=2411","layer":4},{"info":"compute unary expreesion, input=2411, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2411","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2411, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-10, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-10","layer":1},{"info":"number node, value=8138","layer":4},{"info":"number node, value=7421","layer":4},{"info":"compute binary expreesion, left_input=8138, right_input=7421, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-28762","layer":3},{"info":"number node, value=6131","layer":4},{"info":"compute unary expreesion, input=6131, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=155771","layer":3},{"info":"compute binary expreesion, left_input=-28762, right_input=155771, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-10, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":0}],"base":10,"result_base":10,"text":"(≛⊺⇮1361⪔⊺⇮2632)⋝⋈⪟((⊺⇮5095↫)∲⫓(-⊺⇮2411))≧⫂∧(⇖(⊺⇮8138⫣⪄⊒⊺⇮7421⇮⋭(⊺⇮6131≑≱⪘)))=⊺⇮-313","reverse_text":"⊺⇮-313=(≛⊺⇮1361⪔⊺⇮2632)⋝⋈⪟((⊺⇮5095↫)∲⫓(-⊺⇮2411))≧⫂∧(⇖(⊺⇮8138⫣⪄⊒⊺⇮7421⇮⋭(⊺⇮6131≑≱⪘)))","cot":[{"info":"⊺⇮1361⪔⊺⇮2632=⊺⇮450","layer":3},{"info":"≛⊺⇮450=⊺⇮-10","layer":2},{"info":"⊺⇮5095↫=⊺⇮160","layer":3},{"info":"-⊺⇮2411=⊺⇮-2411","layer":3},{"info":"⊺⇮160∲⫓⊺⇮-2411=⊺⇮160","layer":2},{"info":"⊺⇮-10⋝⋈⪟⊺⇮160=⊺⇮-10","layer":1},{"info":"⊺⇮8138⫣⪄⊒⊺⇮7421=⊺⇮-28762","layer":3},{"info":"⊺⇮6131≑≱⪘=⊺⇮155771","layer":3},{"info":"⊺⇮-28762⇮⋭⊺⇮155771=⊺⇮67","layer":2},{"info":"⇖⊺⇮67=⊺⇮160","layer":1},{"info":"⊺⇮-10≧⫂∧⊺⇮160=⊺⇮-313","layer":0}]}
{"id":591,"expression_no_base_symbol":"($1472$⋕⪉⪜$2731$∣$7225$≝⊿$1740$∲⫓($4097$⫰⋱$2491$)⨓($1469$⨘⋶⪀))≝⊿((⨙⪌($2923$⩁⩘$7739$))⪪(⇖⫷⫕$3963$)∥⊢⊲(≀↧⇸$6949$))","expression":"(⊺⇮1472⋕⪉⪜⊺⇮2731∣⊺⇮7225≝⊿⊺⇮1740∲⫓(⊺⇮4097⫰⋱⊺⇮2491)⨓(⊺⇮1469⨘⋶⪀))≝⊿((⨙⪌(⊺⇮2923⩁⩘⊺⇮7739))⪪(⇖⫷⫕⊺⇮3963)∥⊢⊲(≀↧⇸⊺⇮6949))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4627,"operation_count":14,"complexity_ratio":330.5,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1472,"base":10},"right_expr":{"type":"numeric_atoms","value":2731,"base":10}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":7225,"base":10},"right_expr":{"type":"numeric_atoms","value":1740,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4097,"base":10},"right_expr":{"type":"numeric_atoms","value":2491,"base":10}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1469,"base":10}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2923,"base":10},"right_expr":{"type":"numeric_atoms","value":7739,"base":10}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3963,"base":10}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":6949,"base":10}}}}},"used_operators":["OKKcZfAt5B","i8ToyICDmI","PPChnnnBFF","z6LnFrNh4i","3ViojmjbAp","6o9Blt3TJ6","XVKwrhznBb","xD69zh8xqp","vEGLkm4Z2k","gub5Cegaqo","v1UQAVDJRr","UHmRx3INFg","ljTHtUsqzn"],"dependent_operators":["12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","FU0Cs4j7VP","JclMnS0uGI","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DpFCA1CohY","IWmyXbctLI","EBcxylXtPf","rGHVDoGpnC","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","XPYlsWDdGa","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1472","layer":4},{"info":"number node, value=2731","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=2731, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=7225","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=7225, right_input=1740, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11238","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=-11238, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=753","layer":2},{"info":"number node, value=4097","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=4097, right_input=2491, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4064","layer":3},{"info":"number node, value=1469","layer":4},{"info":"compute unary expreesion, input=1469, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4064, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=753, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=2923","layer":4},{"info":"number node, value=7739","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=7739, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=31904","layer":3},{"info":"compute unary expreesion, input=31904, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=3963","layer":4},{"info":"compute unary expreesion, input=3963, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=6949","layer":4},{"info":"compute unary expreesion, input=6949, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=13898","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=13898, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-127157","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-127157, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1472⋕⪉⪜⊺⇮2731∣⊺⇮7225≝⊿⊺⇮1740∲⫓(⊺⇮4097⫰⋱⊺⇮2491)⨓(⊺⇮1469⨘⋶⪀))≝⊿((⨙⪌(⊺⇮2923⩁⩘⊺⇮7739))⪪(⇖⫷⫕⊺⇮3963)∥⊢⊲(≀↧⇸⊺⇮6949))=NaN","reverse_text":"NaN=(⊺⇮1472⋕⪉⪜⊺⇮2731∣⊺⇮7225≝⊿⊺⇮1740∲⫓(⊺⇮4097⫰⋱⊺⇮2491)⨓(⊺⇮1469⨘⋶⪀))≝⊿((⨙⪌(⊺⇮2923⩁⩘⊺⇮7739))⪪(⇖⫷⫕⊺⇮3963)∥⊢⊲(≀↧⇸⊺⇮6949))","cot":[{"info":"⊺⇮1472⋕⪉⪜⊺⇮2731=⊺⇮204","layer":3},{"info":"⊺⇮7225≝⊿⊺⇮1740=⊺⇮-11238","layer":3},{"info":"⊺⇮204∣⊺⇮-11238=⊺⇮753","layer":2},{"info":"⊺⇮4097⫰⋱⊺⇮2491=⊺⇮-4064","layer":3},{"info":"⊺⇮1469⨘⋶⪀=NaN","layer":3},{"info":"⊺⇮-4064⨓NaN=NaN","layer":2},{"info":"⊺⇮753∲⫓NaN=NaN","layer":1},{"info":"⊺⇮2923⩁⩘⊺⇮7739=⊺⇮31904","layer":3},{"info":"⨙⪌⊺⇮31904=⊺⇮868","layer":2},{"info":"⇖⫷⫕⊺⇮3963=⊺⇮2822","layer":3},{"info":"≀↧⇸⊺⇮6949=⊺⇮13898","layer":3},{"info":"⊺⇮2822∥⊢⊲⊺⇮13898=NaN","layer":2},{"info":"⊺⇮868⪪NaN=⊺⇮-127157","layer":1},{"info":"NaN≝⊿⊺⇮-127157=NaN","layer":0}]}
{"id":592,"expression_no_base_symbol":"($3372$↬$5807$)↹⊜($5798$⪭$3883$)⇌⫙⪟($1001$↞⋁$5670$⋩≍≻)⋓(((⨈⫕$1258$)⫠↝⫳)↸($1545$⨔≚≋$2237$)⫗⊷⫓($4862$⫡⨏$5752$))","expression":"(⊺⇮3372↬⊺⇮5807)↹⊜(⊺⇮5798⪭⊺⇮3883)⇌⫙⪟(⊺⇮1001↞⋁⊺⇮5670⋩≍≻)⋓(((⨈⫕⊺⇮1258)⫠↝⫳)↸(⊺⇮1545⨔≚≋⊺⇮2237)⫗⊷⫓(⊺⇮4862⫡⨏⊺⇮5752))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1413,"operation_count":13,"complexity_ratio":108.6923076923077,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3372,"base":10},"right_expr":{"type":"numeric_atoms","value":5807,"base":10}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5798,"base":10},"right_expr":{"type":"numeric_atoms","value":3883,"base":10}}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":5670,"base":10}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1258,"base":10}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1545,"base":10},"right_expr":{"type":"numeric_atoms","value":2237,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4862,"base":10},"right_expr":{"type":"numeric_atoms","value":5752,"base":10}}}}},"used_operators":["T2fj7uvVaJ","AFVx7xoS7T","9bazX3JMtO","B5M0gjZbta","j9kHMeSvPp","WYd1w68Nbz","RqrPlJkxDo","1eCjFl0mb9","8n5YIzOsVS","megm06wKyl","zashukvMKz","Z57zeUYC9z","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rGHVDoGpnC","COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3372","layer":4},{"info":"number node, value=5807","layer":4},{"info":"compute binary expreesion, left_input=3372, right_input=5807, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5798","layer":4},{"info":"number node, value=3883","layer":4},{"info":"compute binary expreesion, left_input=5798, right_input=3883, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=5670","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=5670, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"number node, value=1258","layer":4},{"info":"compute unary expreesion, input=1258, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-49","layer":2},{"info":"number node, value=1545","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=2237, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=4862","layer":4},{"info":"number node, value=5752","layer":4},{"info":"compute binary expreesion, left_input=4862, right_input=5752, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=36597","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=36597, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-49, right_input=-134, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-49","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-49, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3372↬⊺⇮5807)↹⊜(⊺⇮5798⪭⊺⇮3883)⇌⫙⪟(⊺⇮1001↞⋁⊺⇮5670⋩≍≻)⋓(((⨈⫕⊺⇮1258)⫠↝⫳)↸(⊺⇮1545⨔≚≋⊺⇮2237)⫗⊷⫓(⊺⇮4862⫡⨏⊺⇮5752))=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮3372↬⊺⇮5807)↹⊜(⊺⇮5798⪭⊺⇮3883)⇌⫙⪟(⊺⇮1001↞⋁⊺⇮5670⋩≍≻)⋓(((⨈⫕⊺⇮1258)⫠↝⫳)↸(⊺⇮1545⨔≚≋⊺⇮2237)⫗⊷⫓(⊺⇮4862⫡⨏⊺⇮5752))","cot":[{"info":"⊺⇮3372↬⊺⇮5807=NaN","layer":3},{"info":"⊺⇮5798⪭⊺⇮3883=⊺⇮5","layer":3},{"info":"NaN↹⊜⊺⇮5=NaN","layer":2},{"info":"⊺⇮1001↞⋁⊺⇮5670=NaN","layer":3},{"info":"NaN⋩≍≻=NaN","layer":2},{"info":"NaN⇌⫙⪟NaN=NaN","layer":1},{"info":"⨈⫕⊺⇮1258=⊺⇮-21","layer":3},{"info":"⊺⇮-21⫠↝⫳=⊺⇮-49","layer":2},{"info":"⊺⇮1545⨔≚≋⊺⇮2237=⊺⇮9872","layer":3},{"info":"⊺⇮4862⫡⨏⊺⇮5752=⊺⇮36597","layer":3},{"info":"⊺⇮9872⫗⊷⫓⊺⇮36597=⊺⇮-134","layer":2},{"info":"⊺⇮-49↸⊺⇮-134=⊺⇮-49","layer":1},{"info":"NaN⋓⊺⇮-49=⊺⇮0","layer":0}]}
{"id":593,"expression_no_base_symbol":"(($5104$⨑≵⋬$4609$⪬∳)⇋≉)⩖⊿(((⨮↦↱$5166$)⇴∐$2397$⊝⪿⪼$5496$)⩇∃⫛(($1139$⪉⨛$5275$)⩒⫫(⇺⋃$3308$)))","expression":"((⊺⇮5104⨑≵⋬⊺⇮4609⪬∳)⇋≉)⩖⊿(((⨮↦↱⊺⇮5166)⇴∐⊺⇮2397⊝⪿⪼⊺⇮5496)⩇∃⫛((⊺⇮1139⪉⨛⊺⇮5275)⩒⫫(⇺⋃⊺⇮3308)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21137,"operation_count":11,"complexity_ratio":1921.5454545454545,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5104,"base":10},"right_expr":{"type":"numeric_atoms","value":4609,"base":10}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":5166,"base":10}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2397,"base":10},"right_expr":{"type":"numeric_atoms","value":5496,"base":10}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1139,"base":10},"right_expr":{"type":"numeric_atoms","value":5275,"base":10}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":3308,"base":10}}}}},"used_operators":["RZ5CV9rWsJ","XIabStNQrY","O9U3z1385E","XnXgA4xnOs","1aApVXNlOP","HnzytWxmAO","sYcpBQ0cFf","3Oe9XWJUTD","KFSx94NKJn","EWw2JM7wp4","E5v5B3UAjG"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"⊺⇮416","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5104","layer":4},{"info":"number node, value=4609","layer":4},{"info":"compute binary expreesion, left_input=5104, right_input=4609, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-5364","layer":3},{"info":"compute unary expreesion, input=-5364, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":1},{"info":"number node, value=5166","layer":4},{"info":"compute unary expreesion, input=5166, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-65546874","layer":3},{"info":"number node, value=2397","layer":4},{"info":"number node, value=5496","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=5496, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=45887","layer":3},{"info":"compute binary expreesion, left_input=-65546874, right_input=45887, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=1139","layer":4},{"info":"number node, value=5275","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=5275, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1643","layer":3},{"info":"number node, value=3308","layer":4},{"info":"compute unary expreesion, input=3308, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1643, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=160, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=749","layer":1},{"info":"compute binary expreesion, left_input=-98, right_input=749, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=416","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5104⨑≵⋬⊺⇮4609⪬∳)⇋≉)⩖⊿(((⨮↦↱⊺⇮5166)⇴∐⊺⇮2397⊝⪿⪼⊺⇮5496)⩇∃⫛((⊺⇮1139⪉⨛⊺⇮5275)⩒⫫(⇺⋃⊺⇮3308)))=⊺⇮416","reverse_text":"⊺⇮416=((⊺⇮5104⨑≵⋬⊺⇮4609⪬∳)⇋≉)⩖⊿(((⨮↦↱⊺⇮5166)⇴∐⊺⇮2397⊝⪿⪼⊺⇮5496)⩇∃⫛((⊺⇮1139⪉⨛⊺⇮5275)⩒⫫(⇺⋃⊺⇮3308)))","cot":[{"info":"⊺⇮5104⨑≵⋬⊺⇮4609=⊺⇮-5364","layer":3},{"info":"⊺⇮-5364⪬∳=⊺⇮0","layer":2},{"info":"⊺⇮0⇋≉=⊺⇮-98","layer":1},{"info":"⨮↦↱⊺⇮5166=⊺⇮-65546874","layer":3},{"info":"⊺⇮2397⊝⪿⪼⊺⇮5496=⊺⇮45887","layer":3},{"info":"⊺⇮-65546874⇴∐⊺⇮45887=⊺⇮-116","layer":2},{"info":"⊺⇮1139⪉⨛⊺⇮5275=⊺⇮-1643","layer":3},{"info":"⇺⋃⊺⇮3308=NaN","layer":3},{"info":"⊺⇮-1643⩒⫫NaN=⊺⇮160","layer":2},{"info":"⊺⇮-116⩇∃⫛⊺⇮160=⊺⇮749","layer":1},{"info":"⊺⇮-98⩖⊿⊺⇮749=⊺⇮416","layer":0}]}
{"id":594,"expression_no_base_symbol":"(($1027$⇴∐$1973$⇐≅)⋭≵(⊤⊝(⇠$1469$)))⨎($6787$⊀⩕)⩖⊿($2372$⊋$7449$)⫯⪬∳((⇘$3206$)⊨$1145$∴$1089$)","expression":"((⊺⇮1027⇴∐⊺⇮1973⇐≅)⋭≵(⊤⊝(⇠⊺⇮1469)))⨎(⊺⇮6787⊀⩕)⩖⊿(⊺⇮2372⊋⊺⇮7449)⫯⪬∳((⇘⊺⇮3206)⊨⊺⇮1145∴⊺⇮1089)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17960,"operation_count":13,"complexity_ratio":1381.5384615384614,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1027,"base":10},"right_expr":{"type":"numeric_atoms","value":1973,"base":10}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1469,"base":10}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":6787,"base":10}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2372,"base":10},"right_expr":{"type":"numeric_atoms","value":7449,"base":10}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3206,"base":10}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1145,"base":10},"right_expr":{"type":"numeric_atoms","value":1089,"base":10}}}}},"used_operators":["rJVOvQCfKK","jBncVCNhdl","wEfv7U73WA","HnzytWxmAO","rXAclfmB4M","18saOjeKKm","d7ASUq0ydm","RZ5CV9rWsJ","r0FS3hW4cC","W4tP9CfskL","vg4gO5BX6G","MGuIdZPyUC","hrf7POJlIJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","sdazOOVcIp","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rGHVDoGpnC","nhYeJWJD5X","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1973, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=nan","layer":2},{"info":"number node, value=1469","layer":4},{"info":"compute unary expreesion, input=1469, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1227","layer":3},{"info":"compute unary expreesion, input=-1227, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-3752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3752, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=6787","layer":4},{"info":"compute unary expreesion, input=6787, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=2372","layer":4},{"info":"number node, value=7449","layer":4},{"info":"compute binary expreesion, left_input=2372, right_input=7449, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-296980024","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-296980024, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=593961962","layer":2},{"info":"number node, value=3206","layer":4},{"info":"compute unary expreesion, input=3206, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=186742","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=1089, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3938","layer":3},{"info":"compute binary expreesion, left_input=186742, right_input=3938, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=747999","layer":2},{"info":"compute binary expreesion, left_input=593961962, right_input=747999, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=inf, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=inf","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1027⇴∐⊺⇮1973⇐≅)⋭≵(⊤⊝(⇠⊺⇮1469)))⨎(⊺⇮6787⊀⩕)⩖⊿(⊺⇮2372⊋⊺⇮7449)⫯⪬∳((⇘⊺⇮3206)⊨⊺⇮1145∴⊺⇮1089)=Inf","reverse_text":"Inf=((⊺⇮1027⇴∐⊺⇮1973⇐≅)⋭≵(⊤⊝(⇠⊺⇮1469)))⨎(⊺⇮6787⊀⩕)⩖⊿(⊺⇮2372⊋⊺⇮7449)⫯⪬∳((⇘⊺⇮3206)⊨⊺⇮1145∴⊺⇮1089)","cot":[{"info":"⊺⇮1027⇴∐⊺⇮1973=NaN","layer":3},{"info":"NaN⇐≅=NaN","layer":2},{"info":"⇠⊺⇮1469=⊺⇮-1227","layer":3},{"info":"⊤⊝⊺⇮-1227=⊺⇮-3752","layer":2},{"info":"NaN⋭≵⊺⇮-3752=⊺⇮67","layer":1},{"info":"⊺⇮6787⊀⩕=⊺⇮0","layer":3},{"info":"⊺⇮2372⊋⊺⇮7449=⊺⇮-296980024","layer":3},{"info":"⊺⇮0⩖⊿⊺⇮-296980024=⊺⇮593961962","layer":2},{"info":"⇘⊺⇮3206=⊺⇮186742","layer":3},{"info":"⊺⇮1145∴⊺⇮1089=⊺⇮3938","layer":3},{"info":"⊺⇮186742⊨⊺⇮3938=⊺⇮747999","layer":2},{"info":"⊺⇮593961962⫯⪬∳⊺⇮747999=Inf","layer":1},{"info":"⊺⇮67⨎Inf=Inf","layer":0}]}
{"id":595,"expression_no_base_symbol":"(($1932$⊍)≴⪞⇿($3349$⩷∴$4583$)⫚⫇)⩌⋺(($1058$∊∟⩊$1597$⪄$1149$⩌⋺$6078$)∀⇚≩($1284$↡⊰⫅$1142$⪨≂(⊊≼∋$1011$)))","expression":"((⊺⇮1932⊍)≴⪞⇿(⊺⇮3349⩷∴⊺⇮4583)⫚⫇)⩌⋺((⊺⇮1058∊∟⩊⊺⇮1597⪄⊺⇮1149⩌⋺⊺⇮6078)∀⇚≩(⊺⇮1284↡⊰⫅⊺⇮1142⪨≂(⊊≼∋⊺⇮1011)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1442438,"operation_count":12,"complexity_ratio":120203.16666666667,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1932,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3349,"base":10},"right_expr":{"type":"numeric_atoms","value":4583,"base":10}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1058,"base":10},"right_expr":{"type":"numeric_atoms","value":1597,"base":10}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1149,"base":10},"right_expr":{"type":"numeric_atoms","value":6078,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1284,"base":10},"right_expr":{"type":"numeric_atoms","value":1142,"base":10}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1011,"base":10}}}}},"used_operators":["g7Hmc5v1ko","SdCjLnB6rR","lvlrscuwVU","3nqY3DE9mg","9FxExcQeMw","LRNGc0VcxI","SUmda5xLS4","ddLRYrp01A","sdazOOVcIp","VCtxkLNOzz","FWz7pXsQhA"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rysDP5nf3Z","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","B5M0gjZbta","jCPkEVoL5K"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":4},{"info":"compute unary expreesion, input=1932, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=4116","layer":3},{"info":"number node, value=3349","layer":4},{"info":"number node, value=4583","layer":4},{"info":"compute binary expreesion, left_input=3349, right_input=4583, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2500","layer":3},{"info":"compute binary expreesion, left_input=4116, right_input=-2500, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=29507829","layer":2},{"info":"compute unary expreesion, input=29507829, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=59014190","layer":1},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1597, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1597","layer":3},{"info":"number node, value=1149","layer":4},{"info":"number node, value=6078","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=6078, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-7348","layer":3},{"info":"compute binary expreesion, left_input=1597, right_input=-7348, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-203053","layer":2},{"info":"number node, value=1284","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=1142, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2284","layer":3},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=2284, right_input=-447, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5564","layer":2},{"info":"compute binary expreesion, left_input=-203053, right_input=5564, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=59014190, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1932⊍)≴⪞⇿(⊺⇮3349⩷∴⊺⇮4583)⫚⫇)⩌⋺((⊺⇮1058∊∟⩊⊺⇮1597⪄⊺⇮1149⩌⋺⊺⇮6078)∀⇚≩(⊺⇮1284↡⊰⫅⊺⇮1142⪨≂(⊊≼∋⊺⇮1011)))=NaN","reverse_text":"NaN=((⊺⇮1932⊍)≴⪞⇿(⊺⇮3349⩷∴⊺⇮4583)⫚⫇)⩌⋺((⊺⇮1058∊∟⩊⊺⇮1597⪄⊺⇮1149⩌⋺⊺⇮6078)∀⇚≩(⊺⇮1284↡⊰⫅⊺⇮1142⪨≂(⊊≼∋⊺⇮1011)))","cot":[{"info":"⊺⇮1932⊍=⊺⇮4116","layer":3},{"info":"⊺⇮3349⩷∴⊺⇮4583=⊺⇮-2500","layer":3},{"info":"⊺⇮4116≴⪞⇿⊺⇮-2500=⊺⇮29507829","layer":2},{"info":"⊺⇮29507829⫚⫇=⊺⇮59014190","layer":1},{"info":"⊺⇮1058∊∟⩊⊺⇮1597=⊺⇮1597","layer":3},{"info":"⊺⇮1149⩌⋺⊺⇮6078=⊺⇮-7348","layer":3},{"info":"⊺⇮1597⪄⊺⇮-7348=⊺⇮-203053","layer":2},{"info":"⊺⇮1284↡⊰⫅⊺⇮1142=⊺⇮2284","layer":3},{"info":"⊊≼∋⊺⇮1011=⊺⇮-447","layer":3},{"info":"⊺⇮2284⪨≂⊺⇮-447=⊺⇮5564","layer":2},{"info":"⊺⇮-203053∀⇚≩⊺⇮5564=NaN","layer":1},{"info":"⊺⇮59014190⩌⋺NaN=NaN","layer":0}]}
{"id":596,"expression_no_base_symbol":"∂((($3049$∛≔)⨭⪣(↨⩢⫨$7160$))⩚⊴⇥($1628$⩷∴$5582$⨑≵⋬$2443$↹⊜$1119$))","expression":"∂(((⊺⇮3049∛≔)⨭⪣(↨⩢⫨⊺⇮7160))⩚⊴⇥(⊺⇮1628⩷∴⊺⇮5582⨑≵⋬⊺⇮2443↹⊜⊺⇮1119))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19419,"operation_count":8,"complexity_ratio":2427.375,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":3049,"base":10}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":7160,"base":10}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1628,"base":10},"right_expr":{"type":"numeric_atoms","value":5582,"base":10}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2443,"base":10},"right_expr":{"type":"numeric_atoms","value":1119,"base":10}}}}},"used_operators":["Uaa54Peajs","NTOWxs364D","kn8WO9XteQ","mGnSCrte3L","Z5CJsN7DuW","XnXgA4xnOs","9FxExcQeMw","9bazX3JMtO"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3049","layer":4},{"info":"compute unary expreesion, input=3049, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"number node, value=7160","layer":4},{"info":"compute unary expreesion, input=7160, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-inf, right_input=0, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":2},{"info":"number node, value=1628","layer":4},{"info":"number node, value=5582","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=5582, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7940","layer":3},{"info":"number node, value=2443","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=1119, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=314","layer":3},{"info":"compute binary expreesion, left_input=-7940, right_input=314, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-40519","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-40519, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∂(((⊺⇮3049∛≔)⨭⪣(↨⩢⫨⊺⇮7160))⩚⊴⇥(⊺⇮1628⩷∴⊺⇮5582⨑≵⋬⊺⇮2443↹⊜⊺⇮1119))=NaN","reverse_text":"NaN=∂(((⊺⇮3049∛≔)⨭⪣(↨⩢⫨⊺⇮7160))⩚⊴⇥(⊺⇮1628⩷∴⊺⇮5582⨑≵⋬⊺⇮2443↹⊜⊺⇮1119))","cot":[{"info":"⊺⇮3049∛≔=-Inf","layer":3},{"info":"↨⩢⫨⊺⇮7160=⊺⇮0","layer":3},{"info":"-Inf⨭⪣⊺⇮0=NaN","layer":2},{"info":"⊺⇮1628⩷∴⊺⇮5582=⊺⇮-7940","layer":3},{"info":"⊺⇮2443↹⊜⊺⇮1119=⊺⇮314","layer":3},{"info":"⊺⇮-7940⨑≵⋬⊺⇮314=⊺⇮-40519","layer":2},{"info":"NaN⩚⊴⇥⊺⇮-40519=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"(⨣⨃⇪(⇜($6551$⋾⨃∁$2450$)))⫸⇳($1999$↳≱$2648$⫥∨⫟(≸$1323$))⪎↠($3372$⪃⊛⇣$1190$⪛($1061$⩨$1333$))","expression":"(⨣⨃⇪(⇜(⊺⇮6551⋾⨃∁⊺⇮2450)))⫸⇳(⊺⇮1999↳≱⊺⇮2648⫥∨⫟(≸⊺⇮1323))⪎↠(⊺⇮3372⪃⊛⇣⊺⇮1190⪛(⊺⇮1061⩨⊺⇮1333))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4116,"operation_count":11,"complexity_ratio":374.1818181818182,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":6551,"base":10},"right_expr":{"type":"numeric_atoms","value":2450,"base":10}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1999,"base":10},"right_expr":{"type":"numeric_atoms","value":2648,"base":10}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1323,"base":10}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3372,"base":10},"right_expr":{"type":"numeric_atoms","value":1190,"base":10}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1061,"base":10},"right_expr":{"type":"numeric_atoms","value":1333,"base":10}}}}},"used_operators":["gx7XJ7hdpj","AcOhelriW5","lFBm8KRb8F","212REbPD9h","3tVxb0NHM4","KYD54nUTWz","JwTKLfZU96","eOf03JbCpp","uFcxV4UQCh","rrgAzCduG9","2DlMacCsIx"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6551","layer":4},{"info":"number node, value=2450","layer":4},{"info":"compute binary expreesion, left_input=6551, right_input=2450, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=59995506","layer":3},{"info":"compute unary expreesion, input=59995506, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-479964456","layer":2},{"info":"compute unary expreesion, input=-479964456, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=1999","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=2648, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1323","layer":4},{"info":"compute unary expreesion, input=1323, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=58, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3372","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=3372, right_input=1190, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1333, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-3, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⨣⨃⇪(⇜(⊺⇮6551⋾⨃∁⊺⇮2450)))⫸⇳(⊺⇮1999↳≱⊺⇮2648⫥∨⫟(≸⊺⇮1323))⪎↠(⊺⇮3372⪃⊛⇣⊺⇮1190⪛(⊺⇮1061⩨⊺⇮1333))=⊺⇮0","reverse_text":"⊺⇮0=(⨣⨃⇪(⇜(⊺⇮6551⋾⨃∁⊺⇮2450)))⫸⇳(⊺⇮1999↳≱⊺⇮2648⫥∨⫟(≸⊺⇮1323))⪎↠(⊺⇮3372⪃⊛⇣⊺⇮1190⪛(⊺⇮1061⩨⊺⇮1333))","cot":[{"info":"⊺⇮6551⋾⨃∁⊺⇮2450=⊺⇮59995506","layer":3},{"info":"⇜⊺⇮59995506=⊺⇮-479964456","layer":2},{"info":"⨣⨃⇪⊺⇮-479964456=⊺⇮1405","layer":1},{"info":"⊺⇮1999↳≱⊺⇮2648=⊺⇮0","layer":3},{"info":"≸⊺⇮1323=⊺⇮58","layer":3},{"info":"⊺⇮0⫥∨⫟⊺⇮58=NaN","layer":2},{"info":"⊺⇮3372⪃⊛⇣⊺⇮1190=⊺⇮1234","layer":3},{"info":"⊺⇮1061⩨⊺⇮1333=⊺⇮-3","layer":3},{"info":"⊺⇮1234⪛⊺⇮-3=⊺⇮-2","layer":2},{"info":"NaN⪎↠⊺⇮-2=NaN","layer":1},{"info":"⊺⇮1405⫸⇳NaN=⊺⇮0","layer":0}]}
{"id":598,"expression_no_base_symbol":"$3957$≎⪠$1822$⊢$2636$⨜⨶$4659$⨭⪣($3578$⋓$5645$*($1461$⫻⋑⊟))↡⊰⫅($1179$⨉)⫗⊷⫓($1425$↞⋁$1140$)⨿(($3110$⫲≸⪮$4193$)⨚⇆$1069$⪔⊥$2450$)","expression":"⊺⇮3957≎⪠⊺⇮1822⊢⊺⇮2636⨜⨶⊺⇮4659⨭⪣(⊺⇮3578⋓⊺⇮5645*(⊺⇮1461⫻⋑⊟))↡⊰⫅(⊺⇮1179⨉)⫗⊷⫓(⊺⇮1425↞⋁⊺⇮1140)⨿((⊺⇮3110⫲≸⪮⊺⇮4193)⨚⇆⊺⇮1069⪔⊥⊺⇮2450)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":48010,"operation_count":15,"complexity_ratio":3200.6666666666665,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3957,"base":10},"right_expr":{"type":"numeric_atoms","value":1822,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2636,"base":10},"right_expr":{"type":"numeric_atoms","value":4659,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3578,"base":10},"right_expr":{"type":"numeric_atoms","value":5645,"base":10}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1461,"base":10}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1179,"base":10}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1425,"base":10},"right_expr":{"type":"numeric_atoms","value":1140,"base":10}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3110,"base":10},"right_expr":{"type":"numeric_atoms","value":4193,"base":10}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1069,"base":10},"right_expr":{"type":"numeric_atoms","value":2450,"base":10}}}}},"used_operators":["VCtxkLNOzz","kn8WO9XteQ","5twsqlHp2o","aNhz54LH3e","HiPekx5b7W","9HNa5Wba9A","T2fj7uvVaJ","o575Zjdmzy","abYXlopdE0","zashukvMKz","aMUSaJuDRU","RqrPlJkxDo","lwHaAYXP2r","P3lXMJvFrc","HJ9erzHUuu"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⊺⇮242","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3957","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=3957, right_input=1822, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2636","layer":4},{"info":"number node, value=4659","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=4659, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-9062","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-9062, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-39360","layer":2},{"info":"number node, value=3578","layer":4},{"info":"number node, value=5645","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=5645, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1461","layer":4},{"info":"compute unary expreesion, input=1461, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2412","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2412, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-39360, right_input=0, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=38565","layer":1},{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4686","layer":3},{"info":"number node, value=1425","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=1140, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4686, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=3110","layer":4},{"info":"number node, value=4193","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=4193, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3110","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=2450","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=2450, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-823","layer":3},{"info":"compute binary expreesion, left_input=3110, right_input=-823, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":1},{"info":"compute binary expreesion, left_input=38565, right_input=121, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=242","layer":0}],"base":10,"result_base":10,"text":"⊺⇮3957≎⪠⊺⇮1822⊢⊺⇮2636⨜⨶⊺⇮4659⨭⪣(⊺⇮3578⋓⊺⇮5645*(⊺⇮1461⫻⋑⊟))↡⊰⫅(⊺⇮1179⨉)⫗⊷⫓(⊺⇮1425↞⋁⊺⇮1140)⨿((⊺⇮3110⫲≸⪮⊺⇮4193)⨚⇆⊺⇮1069⪔⊥⊺⇮2450)=⊺⇮242","reverse_text":"⊺⇮242=⊺⇮3957≎⪠⊺⇮1822⊢⊺⇮2636⨜⨶⊺⇮4659⨭⪣(⊺⇮3578⋓⊺⇮5645*(⊺⇮1461⫻⋑⊟))↡⊰⫅(⊺⇮1179⨉)⫗⊷⫓(⊺⇮1425↞⋁⊺⇮1140)⨿((⊺⇮3110⫲≸⪮⊺⇮4193)⨚⇆⊺⇮1069⪔⊥⊺⇮2450)","cot":[{"info":"⊺⇮3957≎⪠⊺⇮1822=⊺⇮19558","layer":3},{"info":"⊺⇮2636⨜⨶⊺⇮4659=⊺⇮-9062","layer":3},{"info":"⊺⇮19558⊢⊺⇮-9062=⊺⇮-39360","layer":2},{"info":"⊺⇮3578⋓⊺⇮5645=⊺⇮0","layer":3},{"info":"⊺⇮1461⫻⋑⊟=⊺⇮-2412","layer":3},{"info":"⊺⇮0*⊺⇮-2412=⊺⇮0","layer":2},{"info":"⊺⇮-39360⨭⪣⊺⇮0=⊺⇮38565","layer":1},{"info":"⊺⇮1179⨉=⊺⇮4686","layer":3},{"info":"⊺⇮1425↞⋁⊺⇮1140=NaN","layer":3},{"info":"⊺⇮4686⫗⊷⫓NaN=⊺⇮-134","layer":2},{"info":"⊺⇮3110⫲≸⪮⊺⇮4193=⊺⇮3110","layer":3},{"info":"⊺⇮1069⪔⊥⊺⇮2450=⊺⇮-823","layer":3},{"info":"⊺⇮3110⨚⇆⊺⇮-823=NaN","layer":2},{"info":"⊺⇮-134⨿NaN=⊺⇮121","layer":1},{"info":"⊺⇮38565↡⊰⫅⊺⇮121=⊺⇮242","layer":0}]}
{"id":599,"expression_no_base_symbol":"((($7008$-$1709$)⩇∃⫛$3897$⩌⋺$2731$)↹⊜($1841$⇉⇉)⨑⩅≇($2691$⋛$2794$))⪎↠(($6624$⋳⪒$2105$⫦⪉$4077$⨭⪣$2187$)⫚⫇)","expression":"(((⊺⇮7008-⊺⇮1709)⩇∃⫛⊺⇮3897⩌⋺⊺⇮2731)↹⊜(⊺⇮1841⇉⇉)⨑⩅≇(⊺⇮2691⋛⊺⇮2794))⪎↠((⊺⇮6624⋳⪒⊺⇮2105⫦⪉⊺⇮4077⨭⪣⊺⇮2187)⫚⫇)","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":542,"operation_count":12,"complexity_ratio":45.166666666666664,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7008,"base":10},"right_expr":{"type":"numeric_atoms","value":1709,"base":10}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3897,"base":10},"right_expr":{"type":"numeric_atoms","value":2731,"base":10}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1841,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2691,"base":10},"right_expr":{"type":"numeric_atoms","value":2794,"base":10}}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6624,"base":10},"right_expr":{"type":"numeric_atoms","value":2105,"base":10}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4077,"base":10},"right_expr":{"type":"numeric_atoms","value":2187,"base":10}}}}},"used_operators":["3tVxb0NHM4","9bazX3JMtO","1aApVXNlOP","rysDP5nf3Z","g7Hmc5v1ko","h92wMvzauj","diKm42VcIt","YbUVn0Rbpy","SdCjLnB6rR","wscyQdcy20","12rbrZMWeM","kn8WO9XteQ"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⊺⇮1212","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7008","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=7008, right_input=1709, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5299","layer":3},{"info":"number node, value=3897","layer":4},{"info":"number node, value=2731","layer":4},{"info":"compute binary expreesion, left_input=3897, right_input=2731, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-6749","layer":3},{"info":"compute binary expreesion, left_input=5299, right_input=-6749, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-11575","layer":2},{"info":"number node, value=1841","layer":4},{"info":"compute unary expreesion, input=1841, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-110444","layer":3},{"info":"number node, value=2691","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=2794, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-107973","layer":3},{"info":"compute binary expreesion, left_input=-110444, right_input=-107973, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-11575, right_input=-55, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=344","layer":1},{"info":"number node, value=6624","layer":4},{"info":"number node, value=2105","layer":4},{"info":"compute binary expreesion, left_input=6624, right_input=2105, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10856","layer":3},{"info":"number node, value=4077","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=4077, right_input=2187, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2798","layer":3},{"info":"compute binary expreesion, left_input=10856, right_input=2798, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-16812","layer":2},{"info":"compute unary expreesion, input=-16812, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":1},{"info":"compute binary expreesion, left_input=344, right_input=-522, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1212","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮7008-⊺⇮1709)⩇∃⫛⊺⇮3897⩌⋺⊺⇮2731)↹⊜(⊺⇮1841⇉⇉)⨑⩅≇(⊺⇮2691⋛⊺⇮2794))⪎↠((⊺⇮6624⋳⪒⊺⇮2105⫦⪉⊺⇮4077⨭⪣⊺⇮2187)⫚⫇)=⊺⇮1212","reverse_text":"⊺⇮1212=(((⊺⇮7008-⊺⇮1709)⩇∃⫛⊺⇮3897⩌⋺⊺⇮2731)↹⊜(⊺⇮1841⇉⇉)⨑⩅≇(⊺⇮2691⋛⊺⇮2794))⪎↠((⊺⇮6624⋳⪒⊺⇮2105⫦⪉⊺⇮4077⨭⪣⊺⇮2187)⫚⫇)","cot":[{"info":"⊺⇮7008-⊺⇮1709=⊺⇮5299","layer":3},{"info":"⊺⇮3897⩌⋺⊺⇮2731=⊺⇮-6749","layer":3},{"info":"⊺⇮5299⩇∃⫛⊺⇮-6749=⊺⇮-11575","layer":2},{"info":"⊺⇮1841⇉⇉=⊺⇮-110444","layer":3},{"info":"⊺⇮2691⋛⊺⇮2794=⊺⇮-107973","layer":3},{"info":"⊺⇮-110444⨑⩅≇⊺⇮-107973=⊺⇮-55","layer":2},{"info":"⊺⇮-11575↹⊜⊺⇮-55=⊺⇮344","layer":1},{"info":"⊺⇮6624⋳⪒⊺⇮2105=⊺⇮10856","layer":3},{"info":"⊺⇮4077⨭⪣⊺⇮2187=⊺⇮2798","layer":3},{"info":"⊺⇮10856⫦⪉⊺⇮2798=⊺⇮-16812","layer":2},{"info":"⊺⇮-16812⫚⫇=⊺⇮-522","layer":1},{"info":"⊺⇮344⪎↠⊺⇮-522=⊺⇮1212","layer":0}]}
{"id":600,"expression_no_base_symbol":"(($1001$⫦⪉$4696$)≥⨤⩑$1579$∣$2867$)⫞⩸⩒(($2667$↸$2644$)≨($3224$⪊≅))⨪↰⇹((⨵≀≌$2280$⩖⊿$2707$)⋐⇩⊬)","expression":"((⊺⇮1001⫦⪉⊺⇮4696)≥⨤⩑⊺⇮1579∣⊺⇮2867)⫞⩸⩒((⊺⇮2667↸⊺⇮2644)≨(⊺⇮3224⪊≅))⨪↰⇹((⨵≀≌⊺⇮2280⩖⊿⊺⇮2707)⋐⇩⊬)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4048,"operation_count":11,"complexity_ratio":368.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":4696,"base":10}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1579,"base":10},"right_expr":{"type":"numeric_atoms","value":2867,"base":10}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2667,"base":10},"right_expr":{"type":"numeric_atoms","value":2644,"base":10}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":3224,"base":10}}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2280,"base":10},"right_expr":{"type":"numeric_atoms","value":2707,"base":10}}}}},"used_operators":["tmPS8pqC7x","XGcMNugi78","gJLn6v0xnP","wscyQdcy20","PPChnnnBFF","0KMCeP1Jsh","1eCjFl0mb9","bjFbhXSADs","JuuLT1NoCs","srAu1WTS94","RZ5CV9rWsJ"],"dependent_operators":["rJVOvQCfKK","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=4696","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=4696, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2898","layer":3},{"info":"number node, value=1579","layer":4},{"info":"number node, value=2867","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=2867, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1579","layer":3},{"info":"compute binary expreesion, left_input=2898, right_input=1579, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=2667","layer":4},{"info":"number node, value=2644","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=2644, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2667","layer":3},{"info":"number node, value=3224","layer":4},{"info":"compute unary expreesion, input=3224, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2667, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-24194","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-24194, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1234","layer":1},{"info":"number node, value=2280","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=2280, right_input=2707, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=12454","layer":3},{"info":"compute unary expreesion, input=12454, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-37362","layer":2},{"info":"compute unary expreesion, input=-37362, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=-74603","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-74603, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1234","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1001⫦⪉⊺⇮4696)≥⨤⩑⊺⇮1579∣⊺⇮2867)⫞⩸⩒((⊺⇮2667↸⊺⇮2644)≨(⊺⇮3224⪊≅))⨪↰⇹((⨵≀≌⊺⇮2280⩖⊿⊺⇮2707)⋐⇩⊬)=⊺⇮1234","reverse_text":"⊺⇮1234=((⊺⇮1001⫦⪉⊺⇮4696)≥⨤⩑⊺⇮1579∣⊺⇮2867)⫞⩸⩒((⊺⇮2667↸⊺⇮2644)≨(⊺⇮3224⪊≅))⨪↰⇹((⨵≀≌⊺⇮2280⩖⊿⊺⇮2707)⋐⇩⊬)","cot":[{"info":"⊺⇮1001⫦⪉⊺⇮4696=⊺⇮2898","layer":3},{"info":"⊺⇮1579∣⊺⇮2867=⊺⇮1579","layer":3},{"info":"⊺⇮2898≥⨤⩑⊺⇮1579=⊺⇮1234","layer":2},{"info":"⊺⇮2667↸⊺⇮2644=⊺⇮2667","layer":3},{"info":"⊺⇮3224⪊≅=⊺⇮0","layer":3},{"info":"⊺⇮2667≨⊺⇮0=⊺⇮-24194","layer":2},{"info":"⊺⇮1234⫞⩸⩒⊺⇮-24194=⊺⇮1234","layer":1},{"info":"⊺⇮2280⩖⊿⊺⇮2707=⊺⇮12454","layer":3},{"info":"⨵≀≌⊺⇮12454=⊺⇮-37362","layer":2},{"info":"⊺⇮-37362⋐⇩⊬=⊺⇮-74603","layer":1},{"info":"⊺⇮1234⨪↰⇹⊺⇮-74603=⊺⇮1234","layer":0}]}
{"id":601,"expression_no_base_symbol":"(((⇜⊴$1723$)∽$7070$⫰⋱$1142$)⊀⩕)⊋(($1963$⪨≂$2035$)⨳⩥⨓$8567$∳⫺$8665$⫌⩉⩟(∤↝$1379$)⨽∌($1883$⨒$3731$))","expression":"(((⇜⊴⊺⇮1723)∽⊺⇮7070⫰⋱⊺⇮1142)⊀⩕)⊋((⊺⇮1963⪨≂⊺⇮2035)⨳⩥⨓⊺⇮8567∳⫺⊺⇮8665⫌⩉⩟(∤↝⊺⇮1379)⨽∌(⊺⇮1883⨒⊺⇮3731))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3030,"operation_count":12,"complexity_ratio":252.5,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1723,"base":10}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":7070,"base":10},"right_expr":{"type":"numeric_atoms","value":1142,"base":10}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1963,"base":10},"right_expr":{"type":"numeric_atoms","value":2035,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":8567,"base":10},"right_expr":{"type":"numeric_atoms","value":8665,"base":10}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1379,"base":10}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1883,"base":10},"right_expr":{"type":"numeric_atoms","value":3731,"base":10}}}}},"used_operators":["W4tP9CfskL","r0FS3hW4cC","y4ImoPnbV5","XwDhCwWbUn","6o9Blt3TJ6","XIIwhv8d0m","nCS4ZIUYfx","sdazOOVcIp","AzXXKTstlj","9samAPKr6k","3UMq87Qwqg","y75s1iXyHd"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rGHVDoGpnC","nhYeJWJD5X","NTOWxs364D","QMFrweE19q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⊺⇮-6454","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-392914","layer":3},{"info":"number node, value=7070","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=7070, right_input=1142, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-7037","layer":3},{"info":"compute binary expreesion, left_input=-392914, right_input=-7037, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=1985859","layer":2},{"info":"compute unary expreesion, input=1985859, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":1},{"info":"number node, value=1963","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=2035, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-42","layer":3},{"info":"number node, value=8567","layer":4},{"info":"number node, value=8665","layer":4},{"info":"compute binary expreesion, left_input=8567, right_input=8665, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-42, right_input=-260, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-218","layer":2},{"info":"number node, value=1379","layer":4},{"info":"compute unary expreesion, input=1379, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1379","layer":3},{"info":"number node, value=1883","layer":4},{"info":"number node, value=3731","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=3731, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-10926","layer":3},{"info":"compute binary expreesion, left_input=1379, right_input=-10926, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-218, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-50, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-6454","layer":0}],"base":10,"result_base":10,"text":"(((⇜⊴⊺⇮1723)∽⊺⇮7070⫰⋱⊺⇮1142)⊀⩕)⊋((⊺⇮1963⪨≂⊺⇮2035)⨳⩥⨓⊺⇮8567∳⫺⊺⇮8665⫌⩉⩟(∤↝⊺⇮1379)⨽∌(⊺⇮1883⨒⊺⇮3731))=⊺⇮-6454","reverse_text":"⊺⇮-6454=(((⇜⊴⊺⇮1723)∽⊺⇮7070⫰⋱⊺⇮1142)⊀⩕)⊋((⊺⇮1963⪨≂⊺⇮2035)⨳⩥⨓⊺⇮8567∳⫺⊺⇮8665⫌⩉⩟(∤↝⊺⇮1379)⨽∌(⊺⇮1883⨒⊺⇮3731))","cot":[{"info":"⇜⊴⊺⇮1723=⊺⇮-392914","layer":3},{"info":"⊺⇮7070⫰⋱⊺⇮1142=⊺⇮-7037","layer":3},{"info":"⊺⇮-392914∽⊺⇮-7037=⊺⇮1985859","layer":2},{"info":"⊺⇮1985859⊀⩕=⊺⇮0","layer":1},{"info":"⊺⇮1963⪨≂⊺⇮2035=⊺⇮-42","layer":3},{"info":"⊺⇮8567∳⫺⊺⇮8665=⊺⇮-260","layer":3},{"info":"⊺⇮-42⨳⩥⨓⊺⇮-260=⊺⇮-218","layer":2},{"info":"∤↝⊺⇮1379=⊺⇮1379","layer":3},{"info":"⊺⇮1883⨒⊺⇮3731=⊺⇮-10926","layer":3},{"info":"⊺⇮1379⨽∌⊺⇮-10926=⊺⇮0","layer":2},{"info":"⊺⇮-218⫌⩉⩟⊺⇮0=⊺⇮-50","layer":1},{"info":"⊺⇮0⊋⊺⇮-50=⊺⇮-6454","layer":0}]}
{"id":602,"expression_no_base_symbol":"((($1253$⪡$1193$)⊬⫿⊭)⋭≵($1209$⩌⋺$1315$)⩣⫁∢($2253$⫿))⋛(($1228$⨵⪆$1104$⫚↹⊑(⨆≐≲$8562$))⩵∡(($8848$⫌⩉⩟$1479$)⋖∅⋲))","expression":"(((⊺⇮1253⪡⊺⇮1193)⊬⫿⊭)⋭≵(⊺⇮1209⩌⋺⊺⇮1315)⩣⫁∢(⊺⇮2253⫿))⋛((⊺⇮1228⨵⪆⊺⇮1104⫚↹⊑(⨆≐≲⊺⇮8562))⩵∡((⊺⇮8848⫌⩉⩟⊺⇮1479)⋖∅⋲))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7561,"operation_count":13,"complexity_ratio":581.6153846153846,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1253,"base":10},"right_expr":{"type":"numeric_atoms","value":1193,"base":10}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1209,"base":10},"right_expr":{"type":"numeric_atoms","value":1315,"base":10}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2253,"base":10}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1228,"base":10},"right_expr":{"type":"numeric_atoms","value":1104,"base":10}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":8562,"base":10}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":8848,"base":10},"right_expr":{"type":"numeric_atoms","value":1479,"base":10}}}}},"used_operators":["YbUVn0Rbpy","jBncVCNhdl","v0DYgG9ikt","oraRL2iQuh","JDUIKTTSIa","g7Hmc5v1ko","9tKT6PmtkH","Y7wcNGrDQJ","dfKe02y8D2","2DQ55sFlQl","Bi9z9uYZqW","L95AwlJzhO","XIIwhv8d0m"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⊺⇮-125607","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=1193, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=105","layer":2},{"info":"number node, value=1209","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1315, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-2645","layer":3},{"info":"number node, value=2253","layer":4},{"info":"compute unary expreesion, input=2253, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2253","layer":3},{"info":"compute binary expreesion, left_input=-2645, right_input=2253, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=11145","layer":2},{"info":"compute binary expreesion, left_input=105, right_input=11145, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-405","layer":1},{"info":"number node, value=1228","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1104, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=8562","layer":4},{"info":"compute unary expreesion, input=8562, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=93369048","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=93369048, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=8848","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=8848, right_input=1479, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1220","layer":1},{"info":"compute binary expreesion, left_input=-405, right_input=1220, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-125607","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1253⪡⊺⇮1193)⊬⫿⊭)⋭≵(⊺⇮1209⩌⋺⊺⇮1315)⩣⫁∢(⊺⇮2253⫿))⋛((⊺⇮1228⨵⪆⊺⇮1104⫚↹⊑(⨆≐≲⊺⇮8562))⩵∡((⊺⇮8848⫌⩉⩟⊺⇮1479)⋖∅⋲))=⊺⇮-125607","reverse_text":"⊺⇮-125607=(((⊺⇮1253⪡⊺⇮1193)⊬⫿⊭)⋭≵(⊺⇮1209⩌⋺⊺⇮1315)⩣⫁∢(⊺⇮2253⫿))⋛((⊺⇮1228⨵⪆⊺⇮1104⫚↹⊑(⨆≐≲⊺⇮8562))⩵∡((⊺⇮8848⫌⩉⩟⊺⇮1479)⋖∅⋲))","cot":[{"info":"⊺⇮1253⪡⊺⇮1193=⊺⇮107","layer":3},{"info":"⊺⇮107⊬⫿⊭=⊺⇮105","layer":2},{"info":"⊺⇮1209⩌⋺⊺⇮1315=⊺⇮-2645","layer":3},{"info":"⊺⇮2253⫿=⊺⇮2253","layer":3},{"info":"⊺⇮-2645⩣⫁∢⊺⇮2253=⊺⇮11145","layer":2},{"info":"⊺⇮105⋭≵⊺⇮11145=⊺⇮-405","layer":1},{"info":"⊺⇮1228⨵⪆⊺⇮1104=⊺⇮160","layer":3},{"info":"⨆≐≲⊺⇮8562=⊺⇮93369048","layer":3},{"info":"⊺⇮160⫚↹⊑⊺⇮93369048=⊺⇮-447","layer":2},{"info":"⊺⇮8848⫌⩉⩟⊺⇮1479=⊺⇮-50","layer":3},{"info":"⊺⇮-50⋖∅⋲=⊺⇮0","layer":2},{"info":"⊺⇮-447⩵∡⊺⇮0=⊺⇮1220","layer":1},{"info":"⊺⇮-405⋛⊺⇮1220=⊺⇮-125607","layer":0}]}
{"id":603,"expression_no_base_symbol":"⋗⩴⪓((≔$2254$⋹⋡⊁$1390$)≃(⇐$3451$)⩌⋺($1035$⨓$5187$))","expression":"⋗⩴⪓((≔⊺⇮2254⋹⋡⊁⊺⇮1390)≃(⇐⊺⇮3451)⩌⋺(⊺⇮1035⨓⊺⇮5187))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":79290,"operation_count":7,"complexity_ratio":11327.142857142857,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2254,"base":10},"right_expr":{"type":"numeric_atoms","value":1390,"base":10}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3451,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1035,"base":10},"right_expr":{"type":"numeric_atoms","value":5187,"base":10}}}}},"used_operators":["nOKPl9n5zu","YbVcJGFEVW","8FLs4eVsLt","As8RqfVLgs","g7Hmc5v1ko","nmZMaaE0Q9","3ViojmjbAp"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮-10499","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2254","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=2254, right_input=1390, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2140","layer":3},{"info":"compute unary expreesion, input=2140, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-58626","layer":2},{"info":"number node, value=3451","layer":4},{"info":"compute unary expreesion, input=3451, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=7932","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=5187","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=5187, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5190","layer":3},{"info":"compute binary expreesion, left_input=7932, right_input=-5190, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-2863","layer":2},{"info":"compute binary expreesion, left_input=-58626, right_input=-2863, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=11412","layer":1},{"info":"compute unary expreesion, input=11412, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-10499","layer":0}],"base":10,"result_base":10,"text":"⋗⩴⪓((≔⊺⇮2254⋹⋡⊁⊺⇮1390)≃(⇐⊺⇮3451)⩌⋺(⊺⇮1035⨓⊺⇮5187))=⊺⇮-10499","reverse_text":"⊺⇮-10499=⋗⩴⪓((≔⊺⇮2254⋹⋡⊁⊺⇮1390)≃(⇐⊺⇮3451)⩌⋺(⊺⇮1035⨓⊺⇮5187))","cot":[{"info":"⊺⇮2254⋹⋡⊁⊺⇮1390=⊺⇮2140","layer":3},{"info":"≔⊺⇮2140=⊺⇮-58626","layer":2},{"info":"⇐⊺⇮3451=⊺⇮7932","layer":3},{"info":"⊺⇮1035⨓⊺⇮5187=⊺⇮-5190","layer":3},{"info":"⊺⇮7932⩌⋺⊺⇮-5190=⊺⇮-2863","layer":2},{"info":"⊺⇮-58626≃⊺⇮-2863=⊺⇮11412","layer":1},{"info":"⋗⩴⪓⊺⇮11412=⊺⇮-10499","layer":0}]}
{"id":604,"expression_no_base_symbol":"(⫛⫱⨽(⫇(⊑$1721$)))∖($1744$⩒⫫$3073$⪁$1979$⩷∴$3226$)↹⊜(⇖($5785$⫁⪎$3011$))","expression":"(⫛⫱⨽(⫇(⊑⊺⇮1721)))∖(⊺⇮1744⩒⫫⊺⇮3073⪁⊺⇮1979⩷∴⊺⇮3226)↹⊜(⇖(⊺⇮5785⫁⪎⊺⇮3011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":83027658,"operation_count":10,"complexity_ratio":8302765.8,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1721,"base":10}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1744,"base":10},"right_expr":{"type":"numeric_atoms","value":3073,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1979,"base":10},"right_expr":{"type":"numeric_atoms","value":3226,"base":10}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":5785,"base":10},"right_expr":{"type":"numeric_atoms","value":3011,"base":10}}}}},"used_operators":["tXD093vOjl","DlLNRPXxWL","YjI8oCXuph","IkUmn0D7oy","9bazX3JMtO","I7sXao9hZE","KFSx94NKJn","9FxExcQeMw","tfWHHpNKUN","xRrnTEsQ6j"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rGHVDoGpnC","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","2DQ55sFlQl","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1721","layer":4},{"info":"compute unary expreesion, input=1721, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=900","layer":2},{"info":"compute unary expreesion, input=900, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1744","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=3073, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1442","layer":3},{"info":"number node, value=1979","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=3226, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2526","layer":3},{"info":"compute binary expreesion, left_input=1442, right_input=-2526, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=5785","layer":4},{"info":"number node, value=3011","layer":4},{"info":"compute binary expreesion, left_input=5785, right_input=3011, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2774","layer":3},{"info":"compute unary expreesion, input=2774, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽(⫇(⊑⊺⇮1721)))∖(⊺⇮1744⩒⫫⊺⇮3073⪁⊺⇮1979⩷∴⊺⇮3226)↹⊜(⇖(⊺⇮5785⫁⪎⊺⇮3011))=⊺⇮0","reverse_text":"⊺⇮0=(⫛⫱⨽(⫇(⊑⊺⇮1721)))∖(⊺⇮1744⩒⫫⊺⇮3073⪁⊺⇮1979⩷∴⊺⇮3226)↹⊜(⇖(⊺⇮5785⫁⪎⊺⇮3011))","cot":[{"info":"⊑⊺⇮1721=⊺⇮192","layer":3},{"info":"⫇⊺⇮192=⊺⇮900","layer":2},{"info":"⫛⫱⨽⊺⇮900=⊺⇮0","layer":1},{"info":"⊺⇮1744⩒⫫⊺⇮3073=⊺⇮1442","layer":3},{"info":"⊺⇮1979⩷∴⊺⇮3226=⊺⇮-2526","layer":3},{"info":"⊺⇮1442⪁⊺⇮-2526=NaN","layer":2},{"info":"⊺⇮5785⫁⪎⊺⇮3011=⊺⇮2774","layer":3},{"info":"⇖⊺⇮2774=⊺⇮160","layer":2},{"info":"NaN↹⊜⊺⇮160=NaN","layer":1},{"info":"⊺⇮0∖NaN=⊺⇮0","layer":0}]}
{"id":605,"expression_no_base_symbol":"(∂⩏⊆(⪓⩚($2504$⫩)))*(⊈($1013$⨐⩸⫘$1921$))⪄($4383$⫌⩹⨱)⇍⊗($1557$⊵↤)","expression":"(∂⩏⊆(⪓⩚(⊺⇮2504⫩)))*(⊈(⊺⇮1013⨐⩸⫘⊺⇮1921))⪄(⊺⇮4383⫌⩹⨱)⇍⊗(⊺⇮1557⊵↤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7750,"operation_count":10,"complexity_ratio":775.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":2504,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1013,"base":10},"right_expr":{"type":"numeric_atoms","value":1921,"base":10}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4383,"base":10}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1557,"base":10}}}}},"used_operators":["9HNa5Wba9A","8WDwsbhb0R","u0R0Locfp2","6aG7x05OhS","SUmda5xLS4","RHru8klgy8","fu6greOZ01","5uvYHDjeKN","EBcxylXtPf","7IPrd9c3lf"],"dependent_operators":["W4YGzv6Whe","14qkJME0vr","eLAdDNolq6","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","12rbrZMWeM","xUOZtlo3hN","3ViojmjbAp","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q"],"result":"⊺⇮-5399503","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2504","layer":4},{"info":"compute unary expreesion, input=2504, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute unary expreesion, input=426, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-1357","layer":1},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1921, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=nan","layer":2},{"info":"number node, value=4383","layer":4},{"info":"compute unary expreesion, input=4383, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10167","layer":3},{"info":"number node, value=1557","layer":4},{"info":"compute unary expreesion, input=1557, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=10167, right_input=67, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-1357, right_input=3979, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-5399503","layer":0}],"base":10,"result_base":10,"text":"(∂⩏⊆(⪓⩚(⊺⇮2504⫩)))*(⊈(⊺⇮1013⨐⩸⫘⊺⇮1921))⪄(⊺⇮4383⫌⩹⨱)⇍⊗(⊺⇮1557⊵↤)=⊺⇮-5399503","reverse_text":"⊺⇮-5399503=(∂⩏⊆(⪓⩚(⊺⇮2504⫩)))*(⊈(⊺⇮1013⨐⩸⫘⊺⇮1921))⪄(⊺⇮4383⫌⩹⨱)⇍⊗(⊺⇮1557⊵↤)","cot":[{"info":"⊺⇮2504⫩=NaN","layer":3},{"info":"⪓⩚NaN=⊺⇮426","layer":2},{"info":"∂⩏⊆⊺⇮426=⊺⇮-1357","layer":1},{"info":"⊺⇮1013⨐⩸⫘⊺⇮1921=NaN","layer":3},{"info":"⊈NaN=NaN","layer":2},{"info":"⊺⇮4383⫌⩹⨱=⊺⇮10167","layer":3},{"info":"⊺⇮1557⊵↤=⊺⇮67","layer":3},{"info":"⊺⇮10167⇍⊗⊺⇮67=⊺⇮-244","layer":2},{"info":"NaN⪄⊺⇮-244=⊺⇮3979","layer":1},{"info":"⊺⇮-1357*⊺⇮3979=⊺⇮-5399503","layer":0}]}
{"id":606,"expression_no_base_symbol":"(($1392$≹⇙⪍$2326$)⨔⇊($6374$∪⫐$1443$)⊋≦⊧$4488$⋥⋵⩄$6079$⊬⨰($2403$⩭))⇂≾⫗((∐⩳⋚($1128$⪒⊣⊆$2570$))⪄(≘$5288$)↹⊜($1471$≳⇉$7762$))","expression":"((⊺⇮1392≹⇙⪍⊺⇮2326)⨔⇊(⊺⇮6374∪⫐⊺⇮1443)⊋≦⊧⊺⇮4488⋥⋵⩄⊺⇮6079⊬⨰(⊺⇮2403⩭))⇂≾⫗((∐⩳⋚(⊺⇮1128⪒⊣⊆⊺⇮2570))⪄(≘⊺⇮5288)↹⊜(⊺⇮1471≳⇉⊺⇮7762))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":42795,"operation_count":14,"complexity_ratio":3056.785714285714,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1392,"base":10},"right_expr":{"type":"numeric_atoms","value":2326,"base":10}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6374,"base":10},"right_expr":{"type":"numeric_atoms","value":1443,"base":10}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4488,"base":10},"right_expr":{"type":"numeric_atoms","value":6079,"base":10}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":2403,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1128,"base":10},"right_expr":{"type":"numeric_atoms","value":2570,"base":10}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":5288,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1471,"base":10},"right_expr":{"type":"numeric_atoms","value":7762,"base":10}}}}},"used_operators":["aBQ6xLxuTc","oRDoc9rAEX","JclMnS0uGI","AHs5Up7iyr","7YooWSwCyH","s3Fd5m9Dh2","7t3wd0Fuz7","yIPP7u6H5x","SUmda5xLS4","SL6IHkK8vl","eRqsBgTDFp","9bazX3JMtO","tcjXMdvYtA","V0kx6qeWkN"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","dWAJyo7jo9","rJVOvQCfKK","2DDjHMKMc0","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1392","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=2326, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6374","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=6374, right_input=1443, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6374, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6374","layer":2},{"info":"number node, value=4488","layer":4},{"info":"number node, value=6079","layer":4},{"info":"compute binary expreesion, left_input=4488, right_input=6079, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2403","layer":4},{"info":"compute unary expreesion, input=2403, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6374, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=1128","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=2570, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2256","layer":3},{"info":"compute unary expreesion, input=2256, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=322273","layer":2},{"info":"number node, value=5288","layer":4},{"info":"compute unary expreesion, input=5288, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=11660824","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=7762","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=7762, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11660824, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=322273, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1392≹⇙⪍⊺⇮2326)⨔⇊(⊺⇮6374∪⫐⊺⇮1443)⊋≦⊧⊺⇮4488⋥⋵⩄⊺⇮6079⊬⨰(⊺⇮2403⩭))⇂≾⫗((∐⩳⋚(⊺⇮1128⪒⊣⊆⊺⇮2570))⪄(≘⊺⇮5288)↹⊜(⊺⇮1471≳⇉⊺⇮7762))=NaN","reverse_text":"NaN=((⊺⇮1392≹⇙⪍⊺⇮2326)⨔⇊(⊺⇮6374∪⫐⊺⇮1443)⊋≦⊧⊺⇮4488⋥⋵⩄⊺⇮6079⊬⨰(⊺⇮2403⩭))⇂≾⫗((∐⩳⋚(⊺⇮1128⪒⊣⊆⊺⇮2570))⪄(≘⊺⇮5288)↹⊜(⊺⇮1471≳⇉⊺⇮7762))","cot":[{"info":"⊺⇮1392≹⇙⪍⊺⇮2326=NaN","layer":3},{"info":"⊺⇮6374∪⫐⊺⇮1443=⊺⇮6374","layer":3},{"info":"NaN⨔⇊⊺⇮6374=⊺⇮6374","layer":2},{"info":"⊺⇮4488⋥⋵⩄⊺⇮6079=⊺⇮113","layer":3},{"info":"⊺⇮2403⩭=NaN","layer":3},{"info":"⊺⇮113⊬⨰NaN=NaN","layer":2},{"info":"⊺⇮6374⊋≦⊧NaN=NaN","layer":1},{"info":"⊺⇮1128⪒⊣⊆⊺⇮2570=⊺⇮2256","layer":3},{"info":"∐⩳⋚⊺⇮2256=⊺⇮322273","layer":2},{"info":"≘⊺⇮5288=⊺⇮11660824","layer":3},{"info":"⊺⇮1471≳⇉⊺⇮7762=NaN","layer":3},{"info":"⊺⇮11660824↹⊜NaN=NaN","layer":2},{"info":"⊺⇮322273⪄NaN=NaN","layer":1},{"info":"NaN⇂≾⫗NaN=NaN","layer":0}]}
{"id":607,"expression_no_base_symbol":"(($1330$⇟⨁⪰)⪒⊣⊆($3548$≃$1617$)⪒⊣⊆(⩷$2426$)⨐($4229$⋻⩜⩜$1528$))∓⋝(⨦⪝($1839$⩚⊴⇥$4444$)⨿($6258$⫲≸⪮$5309$))","expression":"((⊺⇮1330⇟⨁⪰)⪒⊣⊆(⊺⇮3548≃⊺⇮1617)⪒⊣⊆(⩷⊺⇮2426)⨐(⊺⇮4229⋻⩜⩜⊺⇮1528))∓⋝(⨦⪝(⊺⇮1839⩚⊴⇥⊺⇮4444)⨿(⊺⇮6258⫲≸⪮⊺⇮5309))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":48033,"operation_count":12,"complexity_ratio":4002.75,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1330,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3548,"base":10},"right_expr":{"type":"numeric_atoms","value":1617,"base":10}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2426,"base":10}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4229,"base":10},"right_expr":{"type":"numeric_atoms","value":1528,"base":10}}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1839,"base":10},"right_expr":{"type":"numeric_atoms","value":4444,"base":10}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6258,"base":10},"right_expr":{"type":"numeric_atoms","value":5309,"base":10}}}}},"used_operators":["PoHhknlbAi","eRqsBgTDFp","BX1lVwlMe0","YbVcJGFEVW","Noe24qw2ks","1h0rLqGiFr","oDCm7WA9JY","SUjycxNXIR","abYXlopdE0","NTOWxs364D","P3lXMJvFrc"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","sdazOOVcIp","W4YGzv6Whe","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1330","layer":4},{"info":"compute unary expreesion, input=1330, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1504","layer":3},{"info":"number node, value=3548","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=3548, right_input=1617, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-14232","layer":3},{"info":"compute binary expreesion, left_input=-1504, right_input=-14232, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=-25354","layer":2},{"info":"number node, value=2426","layer":4},{"info":"compute unary expreesion, input=2426, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-29191","layer":3},{"info":"number node, value=4229","layer":4},{"info":"number node, value=1528","layer":4},{"info":"compute binary expreesion, left_input=4229, right_input=1528, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8458","layer":3},{"info":"compute binary expreesion, left_input=-29191, right_input=8458, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=58382","layer":2},{"info":"compute binary expreesion, left_input=-25354, right_input=58382, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=167574","layer":1},{"info":"number node, value=1839","layer":4},{"info":"number node, value=4444","layer":4},{"info":"compute binary expreesion, left_input=1839, right_input=4444, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6404","layer":3},{"info":"number node, value=6258","layer":4},{"info":"number node, value=5309","layer":4},{"info":"compute binary expreesion, left_input=6258, right_input=5309, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6258","layer":3},{"info":"compute binary expreesion, left_input=-6404, right_input=6258, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"compute binary expreesion, left_input=167574, right_input=-1884, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1330⇟⨁⪰)⪒⊣⊆(⊺⇮3548≃⊺⇮1617)⪒⊣⊆(⩷⊺⇮2426)⨐(⊺⇮4229⋻⩜⩜⊺⇮1528))∓⋝(⨦⪝(⊺⇮1839⩚⊴⇥⊺⇮4444)⨿(⊺⇮6258⫲≸⪮⊺⇮5309))=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮1330⇟⨁⪰)⪒⊣⊆(⊺⇮3548≃⊺⇮1617)⪒⊣⊆(⩷⊺⇮2426)⨐(⊺⇮4229⋻⩜⩜⊺⇮1528))∓⋝(⨦⪝(⊺⇮1839⩚⊴⇥⊺⇮4444)⨿(⊺⇮6258⫲≸⪮⊺⇮5309))","cot":[{"info":"⊺⇮1330⇟⨁⪰=⊺⇮-1504","layer":3},{"info":"⊺⇮3548≃⊺⇮1617=⊺⇮-14232","layer":3},{"info":"⊺⇮-1504⪒⊣⊆⊺⇮-14232=⊺⇮-25354","layer":2},{"info":"⩷⊺⇮2426=⊺⇮-29191","layer":3},{"info":"⊺⇮4229⋻⩜⩜⊺⇮1528=⊺⇮8458","layer":3},{"info":"⊺⇮-29191⨐⊺⇮8458=⊺⇮58382","layer":2},{"info":"⊺⇮-25354⪒⊣⊆⊺⇮58382=⊺⇮167574","layer":1},{"info":"⊺⇮1839⩚⊴⇥⊺⇮4444=⊺⇮-6404","layer":3},{"info":"⊺⇮6258⫲≸⪮⊺⇮5309=⊺⇮6258","layer":3},{"info":"⊺⇮-6404⨿⊺⇮6258=⊺⇮67","layer":2},{"info":"⨦⪝⊺⇮67=⊺⇮-1884","layer":1},{"info":"⊺⇮167574∓⋝⊺⇮-1884=⊺⇮67","layer":0}]}
{"id":608,"expression_no_base_symbol":"(((∓$1359$)⋅⇍(∂⩏⊆$3338$))∠↢$8742$⨼⩣$3465$→⨶⪴$5727$≁↽≥$7149$)⨚(($3985$∛$1288$⇼⇔∾$1039$⇡⇂$7259$)↺(≤/$8366$)⫯⪬∳($1441$⨵⪆$5976$))","expression":"(((∓⊺⇮1359)⋅⇍(∂⩏⊆⊺⇮3338))∠↢⊺⇮8742⨼⩣⊺⇮3465→⨶⪴⊺⇮5727≁↽≥⊺⇮7149)⨚((⊺⇮3985∛⊺⇮1288⇼⇔∾⊺⇮1039⇡⇂⊺⇮7259)↺(≤/⊺⇮8366)⫯⪬∳(⊺⇮1441⨵⪆⊺⇮5976))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":36707,"operation_count":15,"complexity_ratio":2447.133333333333,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1359,"base":10}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":3338,"base":10}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":8742,"base":10},"right_expr":{"type":"numeric_atoms","value":3465,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5727,"base":10},"right_expr":{"type":"numeric_atoms","value":7149,"base":10}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3985,"base":10},"right_expr":{"type":"numeric_atoms","value":1288,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1039,"base":10},"right_expr":{"type":"numeric_atoms","value":7259,"base":10}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":8366,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1441,"base":10},"right_expr":{"type":"numeric_atoms","value":5976,"base":10}}}}},"used_operators":["nREPSIbpBE","KbjG8mgYpV","AdZkA7nFnk","OwUj7dcsQK","8WDwsbhb0R","bF6eod5Gvf","JxwMv5le6e","ncHt1X6cMc","7j4O788W3g","tifHPKVTfV","w2537kitQq","UMwdvZNt44","d7ASUq0ydm","eLAdDNolq6","2DQ55sFlQl"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","14qkJME0vr","eLAdDNolq6","8w2t5hMYqp","9FxExcQeMw","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮7763242","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-25257","layer":3},{"info":"number node, value=3338","layer":4},{"info":"compute unary expreesion, input=3338, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-10093","layer":3},{"info":"compute binary expreesion, left_input=-25257, right_input=-10093, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=24684","layer":2},{"info":"number node, value=8742","layer":4},{"info":"number node, value=3465","layer":4},{"info":"compute binary expreesion, left_input=8742, right_input=3465, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=5727","layer":4},{"info":"number node, value=7149","layer":4},{"info":"compute binary expreesion, left_input=5727, right_input=7149, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=95837","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=95837, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-287511","layer":2},{"info":"compute binary expreesion, left_input=24684, right_input=-287511, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=3927500","layer":1},{"info":"number node, value=3985","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=3985, right_input=1288, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=7259","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=7259, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=8366","layer":4},{"info":"compute unary expreesion, input=8366, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7882","layer":3},{"info":"number node, value=1441","layer":4},{"info":"number node, value=5976","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=5976, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-7882, right_input=160, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=23173","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23173, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=23173","layer":1},{"info":"compute binary expreesion, left_input=3927500, right_input=23173, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=7763242","layer":0}],"base":10,"result_base":10,"text":"(((∓⊺⇮1359)⋅⇍(∂⩏⊆⊺⇮3338))∠↢⊺⇮8742⨼⩣⊺⇮3465→⨶⪴⊺⇮5727≁↽≥⊺⇮7149)⨚((⊺⇮3985∛⊺⇮1288⇼⇔∾⊺⇮1039⇡⇂⊺⇮7259)↺(≤/⊺⇮8366)⫯⪬∳(⊺⇮1441⨵⪆⊺⇮5976))=⊺⇮7763242","reverse_text":"⊺⇮7763242=(((∓⊺⇮1359)⋅⇍(∂⩏⊆⊺⇮3338))∠↢⊺⇮8742⨼⩣⊺⇮3465→⨶⪴⊺⇮5727≁↽≥⊺⇮7149)⨚((⊺⇮3985∛⊺⇮1288⇼⇔∾⊺⇮1039⇡⇂⊺⇮7259)↺(≤/⊺⇮8366)⫯⪬∳(⊺⇮1441⨵⪆⊺⇮5976))","cot":[{"info":"∓⊺⇮1359=⊺⇮-25257","layer":3},{"info":"∂⩏⊆⊺⇮3338=⊺⇮-10093","layer":3},{"info":"⊺⇮-25257⋅⇍⊺⇮-10093=⊺⇮24684","layer":2},{"info":"⊺⇮8742⨼⩣⊺⇮3465=NaN","layer":3},{"info":"⊺⇮5727≁↽≥⊺⇮7149=⊺⇮95837","layer":3},{"info":"NaN→⨶⪴⊺⇮95837=⊺⇮-287511","layer":2},{"info":"⊺⇮24684∠↢⊺⇮-287511=⊺⇮3927500","layer":1},{"info":"⊺⇮3985∛⊺⇮1288=⊺⇮67","layer":3},{"info":"⊺⇮1039⇡⇂⊺⇮7259=NaN","layer":3},{"info":"⊺⇮67⇼⇔∾NaN=NaN","layer":2},{"info":"≤/⊺⇮8366=⊺⇮-7882","layer":3},{"info":"⊺⇮1441⨵⪆⊺⇮5976=⊺⇮160","layer":3},{"info":"⊺⇮-7882⫯⪬∳⊺⇮160=⊺⇮23173","layer":2},{"info":"NaN↺⊺⇮23173=⊺⇮23173","layer":1},{"info":"⊺⇮3927500⨚⊺⇮23173=⊺⇮7763242","layer":0}]}
{"id":609,"expression_no_base_symbol":"(⊢≑≆($2589$⪬$6750$⪨≂$2159$∼$3094$))↞⋁((($1133$-$7079$)⩎⪣⊞)⫣⪄⊒(≻⋜(⪲⇎$1655$)))","expression":"(⊢≑≆(⊺⇮2589⪬⊺⇮6750⪨≂⊺⇮2159∼⊺⇮3094))↞⋁(((⊺⇮1133-⊺⇮7079)⩎⪣⊞)⫣⪄⊒(≻⋜(⪲⇎⊺⇮1655)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":104132,"operation_count":10,"complexity_ratio":10413.2,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2589,"base":10},"right_expr":{"type":"numeric_atoms","value":6750,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2159,"base":10},"right_expr":{"type":"numeric_atoms","value":3094,"base":10}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1133,"base":10},"right_expr":{"type":"numeric_atoms","value":7079,"base":10}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1655,"base":10}}}}},"used_operators":["RqrPlJkxDo","27wFxooxGf","sdazOOVcIp","Ez1Nq5fNfI","DyGG3AbaNP","RabNbG55vr","waWucp1uQ4","rysDP5nf3Z","3tj9sqzovi","XPYlsWDdGa"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","mp7IySMOzn","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":4},{"info":"number node, value=6750","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=6750, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=2159","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=3094, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":1},{"info":"number node, value=1133","layer":4},{"info":"number node, value=7079","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=7079, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5946","layer":3},{"info":"compute unary expreesion, input=-5946, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"number node, value=1655","layer":4},{"info":"compute unary expreesion, input=1655, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3310","layer":3},{"info":"compute unary expreesion, input=3310, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊢≑≆(⊺⇮2589⪬⊺⇮6750⪨≂⊺⇮2159∼⊺⇮3094))↞⋁(((⊺⇮1133-⊺⇮7079)⩎⪣⊞)⫣⪄⊒(≻⋜(⪲⇎⊺⇮1655)))=NaN","reverse_text":"NaN=(⊢≑≆(⊺⇮2589⪬⊺⇮6750⪨≂⊺⇮2159∼⊺⇮3094))↞⋁(((⊺⇮1133-⊺⇮7079)⩎⪣⊞)⫣⪄⊒(≻⋜(⪲⇎⊺⇮1655)))","cot":[{"info":"⊺⇮2589⪬⊺⇮6750=⊺⇮1234","layer":3},{"info":"⊺⇮2159∼⊺⇮3094=NaN","layer":3},{"info":"⊺⇮1234⪨≂NaN=NaN","layer":2},{"info":"⊢≑≆NaN=NaN","layer":1},{"info":"⊺⇮1133-⊺⇮7079=⊺⇮-5946","layer":3},{"info":"⊺⇮-5946⩎⪣⊞=NaN","layer":2},{"info":"⪲⇎⊺⇮1655=⊺⇮3310","layer":3},{"info":"≻⋜⊺⇮3310=NaN","layer":2},{"info":"NaN⫣⪄⊒NaN=⊺⇮160","layer":1},{"info":"NaN↞⋁⊺⇮160=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"(↯⪼(≱⇩⩕$3301$)∌(⨛$2029$))≒∊((≀↧⇸$1584$∥⊢⊲$3782$)∙∹∝(⨦⪝$2585$⊮⊟↴$1494$))","expression":"(↯⪼(≱⇩⩕⊺⇮3301)∌(⨛⊺⇮2029))≒∊((≀↧⇸⊺⇮1584∥⊢⊲⊺⇮3782)∙∹∝(⨦⪝⊺⇮2585⊮⊟↴⊺⇮1494))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":203,"operation_count":10,"complexity_ratio":20.3,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":3301,"base":10}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2029,"base":10}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1584,"base":10},"right_expr":{"type":"numeric_atoms","value":3782,"base":10}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2585,"base":10},"right_expr":{"type":"numeric_atoms","value":1494,"base":10}}}}},"used_operators":["5KTvxBwnZo","8jW3W4yZS5","8cLx32lpNA","3DZMoQKiUl","CoMdbyAt7R","HmxsFra2vL","ljTHtUsqzn","v1UQAVDJRr","SUjycxNXIR","QDVgd2eftb"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","XPYlsWDdGa","23Mk6UjR3U","EBcxylXtPf","rGHVDoGpnC","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3301","layer":4},{"info":"compute unary expreesion, input=3301, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=2029","layer":4},{"info":"compute unary expreesion, input=2029, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1584","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=3782, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":2},{"info":"number node, value=2585","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=2585, right_input=1494, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1884, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↯⪼(≱⇩⩕⊺⇮3301)∌(⨛⊺⇮2029))≒∊((≀↧⇸⊺⇮1584∥⊢⊲⊺⇮3782)∙∹∝(⨦⪝⊺⇮2585⊮⊟↴⊺⇮1494))=NaN","reverse_text":"NaN=(↯⪼(≱⇩⩕⊺⇮3301)∌(⨛⊺⇮2029))≒∊((≀↧⇸⊺⇮1584∥⊢⊲⊺⇮3782)∙∹∝(⨦⪝⊺⇮2585⊮⊟↴⊺⇮1494))","cot":[{"info":"≱⇩⩕⊺⇮3301=⊺⇮113","layer":3},{"info":"⨛⊺⇮2029=NaN","layer":3},{"info":"⊺⇮113∌NaN=NaN","layer":2},{"info":"↯⪼NaN=⊺⇮-21","layer":1},{"info":"⊺⇮1584∥⊢⊲⊺⇮3782=NaN","layer":3},{"info":"≀↧⇸NaN=NaN","layer":2},{"info":"⊺⇮2585⊮⊟↴⊺⇮1494=⊺⇮0","layer":3},{"info":"⨦⪝⊺⇮0=⊺⇮-1884","layer":2},{"info":"NaN∙∹∝⊺⇮-1884=NaN","layer":1},{"info":"⊺⇮-21≒∊NaN=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"($1375$≁$3074$)⨑⩅≇($6353$↢$1017$)⫁((⫖→$2493$)∵≐)⫩⊇","expression":"(⊺⇮1375≁⊺⇮3074)⨑⩅≇(⊺⇮6353↢⊺⇮1017)⫁((⫖→⊺⇮2493)∵≐)⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8801,"operation_count":7,"complexity_ratio":1257.2857142857142,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1375,"base":10},"right_expr":{"type":"numeric_atoms","value":3074,"base":10}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":6353,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2493,"base":10}}}}},"used_operators":["BjRHVeLaeN","0ajvFaJAv0","h92wMvzauj","8N2wDY1A35","WR6HLWljOP","59igzFyhWz","U4ylXWHChL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"⊺⇮-118","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1375","layer":4},{"info":"number node, value=3074","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=3074, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=60575","layer":3},{"info":"number node, value=6353","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=6353, right_input=1017, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5869","layer":3},{"info":"compute binary expreesion, left_input=60575, right_input=5869, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-181725","layer":2},{"info":"number node, value=2493","layer":4},{"info":"compute unary expreesion, input=2493, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=143","layer":2},{"info":"compute binary expreesion, left_input=-181725, right_input=143, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-118","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1375≁⊺⇮3074)⨑⩅≇(⊺⇮6353↢⊺⇮1017)⫁((⫖→⊺⇮2493)∵≐)⫩⊇=⊺⇮-118","reverse_text":"⊺⇮-118=(⊺⇮1375≁⊺⇮3074)⨑⩅≇(⊺⇮6353↢⊺⇮1017)⫁((⫖→⊺⇮2493)∵≐)⫩⊇","cot":[{"info":"⊺⇮1375≁⊺⇮3074=⊺⇮60575","layer":3},{"info":"⊺⇮6353↢⊺⇮1017=⊺⇮5869","layer":3},{"info":"⊺⇮60575⨑⩅≇⊺⇮5869=⊺⇮-181725","layer":2},{"info":"⫖→⊺⇮2493=⊺⇮177","layer":3},{"info":"⊺⇮177∵≐=⊺⇮143","layer":2},{"info":"⊺⇮-181725⫁⊺⇮143=⊺⇮160","layer":1},{"info":"⊺⇮160⫩⊇=⊺⇮-118","layer":0}]}
{"id":612,"expression_no_base_symbol":"((⪫⨮⊛(≔$1382$))⩚⊴⇥($2114$⫢⨠$2148$⊠≄⫣))↳∿⪆(↩⪖($1395$≝⊿$4945$⪶≀⋏($3305$⇆⨓≜)))","expression":"((⪫⨮⊛(≔⊺⇮1382))⩚⊴⇥(⊺⇮2114⫢⨠⊺⇮2148⊠≄⫣))↳∿⪆(↩⪖(⊺⇮1395≝⊿⊺⇮4945⪶≀⋏(⊺⇮3305⇆⨓≜)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":691128,"operation_count":10,"complexity_ratio":69112.8,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1382,"base":10}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2114,"base":10},"right_expr":{"type":"numeric_atoms","value":2148,"base":10}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1395,"base":10},"right_expr":{"type":"numeric_atoms","value":4945,"base":10}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3305,"base":10}}}}},"used_operators":["Cw4SuJJGHO","NTOWxs364D","w5FWba1tyO","8FLs4eVsLt","DIvbN7qnHd","xlXykHWxX1","fG6uBQFnGz","zR4jO40bMj","OKKcZfAt5B","KvvgdUaMHJ"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","rysDP5nf3Z","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","12rbrZMWeM","Uaa54Peajs","KYD54nUTWz"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-37402","layer":3},{"info":"compute unary expreesion, input=-37402, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"number node, value=2114","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=2148, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1395","layer":4},{"info":"number node, value=4945","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=4945, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11818","layer":3},{"info":"number node, value=3305","layer":4},{"info":"compute unary expreesion, input=3305, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11818, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⪫⨮⊛(≔⊺⇮1382))⩚⊴⇥(⊺⇮2114⫢⨠⊺⇮2148⊠≄⫣))↳∿⪆(↩⪖(⊺⇮1395≝⊿⊺⇮4945⪶≀⋏(⊺⇮3305⇆⨓≜)))=NaN","reverse_text":"NaN=((⪫⨮⊛(≔⊺⇮1382))⩚⊴⇥(⊺⇮2114⫢⨠⊺⇮2148⊠≄⫣))↳∿⪆(↩⪖(⊺⇮1395≝⊿⊺⇮4945⪶≀⋏(⊺⇮3305⇆⨓≜)))","cot":[{"info":"≔⊺⇮1382=⊺⇮-37402","layer":3},{"info":"⪫⨮⊛⊺⇮-37402=NaN","layer":2},{"info":"⊺⇮2114⫢⨠⊺⇮2148=⊺⇮160","layer":3},{"info":"⊺⇮160⊠≄⫣=⊺⇮0","layer":2},{"info":"NaN⩚⊴⇥⊺⇮0=NaN","layer":1},{"info":"⊺⇮1395≝⊿⊺⇮4945=⊺⇮-11818","layer":3},{"info":"⊺⇮3305⇆⨓≜=NaN","layer":3},{"info":"⊺⇮-11818⪶≀⋏NaN=NaN","layer":2},{"info":"↩⪖NaN=NaN","layer":1},{"info":"NaN↳∿⪆NaN=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"((⋗⩴⪓$1447$⨼⩣$7410$)↳∿⪆(≛$1096$⊲⩕⊾$1445$))≴⪞⇿((∤↝$4600$)⨎(↑$2783$)∠⫱(⫶⊄≣($1672$⪢$1402$)))","expression":"((⋗⩴⪓⊺⇮1447⨼⩣⊺⇮7410)↳∿⪆(≛⊺⇮1096⊲⩕⊾⊺⇮1445))≴⪞⇿((∤↝⊺⇮4600)⨎(↑⊺⇮2783)∠⫱(⫶⊄≣(⊺⇮1672⪢⊺⇮1402)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5718,"operation_count":12,"complexity_ratio":476.5,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1447,"base":10},"right_expr":{"type":"numeric_atoms","value":7410,"base":10}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1096,"base":10},"right_expr":{"type":"numeric_atoms","value":1445,"base":10}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":4600,"base":10}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2783,"base":10}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1672,"base":10},"right_expr":{"type":"numeric_atoms","value":1402,"base":10}}}}},"used_operators":["lvlrscuwVU","Cw4SuJJGHO","nOKPl9n5zu","JxwMv5le6e","W7eaUhjymW","DmTXOeWf9t","QvoQhV0rrE","rJVOvQCfKK","3UMq87Qwqg","tR7O2zTn5j","wxb3vTeyAj","dWAJyo7jo9"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1447","layer":4},{"info":"number node, value=7410","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=7410, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":2},{"info":"number node, value=1096","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1445, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-28616","layer":3},{"info":"compute unary expreesion, input=-28616, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-57469","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-57469, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=4600","layer":4},{"info":"compute unary expreesion, input=4600, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=4600","layer":3},{"info":"number node, value=2783","layer":4},{"info":"compute unary expreesion, input=2783, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=4600, right_input=192, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=192","layer":2},{"info":"number node, value=1672","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=1402, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⋗⩴⪓⊺⇮1447⨼⩣⊺⇮7410)↳∿⪆(≛⊺⇮1096⊲⩕⊾⊺⇮1445))≴⪞⇿((∤↝⊺⇮4600)⨎(↑⊺⇮2783)∠⫱(⫶⊄≣(⊺⇮1672⪢⊺⇮1402)))=NaN","reverse_text":"NaN=((⋗⩴⪓⊺⇮1447⨼⩣⊺⇮7410)↳∿⪆(≛⊺⇮1096⊲⩕⊾⊺⇮1445))≴⪞⇿((∤↝⊺⇮4600)⨎(↑⊺⇮2783)∠⫱(⫶⊄≣(⊺⇮1672⪢⊺⇮1402)))","cot":[{"info":"⊺⇮1447⨼⩣⊺⇮7410=NaN","layer":3},{"info":"⋗⩴⪓NaN=NaN","layer":2},{"info":"⊺⇮1096⊲⩕⊾⊺⇮1445=⊺⇮-28616","layer":3},{"info":"≛⊺⇮-28616=⊺⇮-57469","layer":2},{"info":"NaN↳∿⪆⊺⇮-57469=NaN","layer":1},{"info":"∤↝⊺⇮4600=⊺⇮4600","layer":3},{"info":"↑⊺⇮2783=⊺⇮192","layer":3},{"info":"⊺⇮4600⨎⊺⇮192=⊺⇮192","layer":2},{"info":"⊺⇮1672⪢⊺⇮1402=NaN","layer":3},{"info":"⫶⊄≣NaN=NaN","layer":2},{"info":"⊺⇮192∠⫱NaN=NaN","layer":1},{"info":"NaN≴⪞⇿NaN=NaN","layer":0}]}
{"id":614,"expression_no_base_symbol":"⇠($1084$⨐$1544$⊨$1062$⨫⇇↔$4569$)⨑⩅≇((≸$1226$)≚⊃≕($2377$⫌⩉⩟$6206$))","expression":"⇠(⊺⇮1084⨐⊺⇮1544⊨⊺⇮1062⨫⇇↔⊺⇮4569)⨑⩅≇((≸⊺⇮1226)≚⊃≕(⊺⇮2377⫌⩉⩟⊺⇮6206))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33818,"operation_count":8,"complexity_ratio":4227.25,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1084,"base":10},"right_expr":{"type":"numeric_atoms","value":1544,"base":10}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1062,"base":10},"right_expr":{"type":"numeric_atoms","value":4569,"base":10}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1226,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2377,"base":10},"right_expr":{"type":"numeric_atoms","value":6206,"base":10}}}}},"used_operators":["18saOjeKKm","h92wMvzauj","vg4gO5BX6G","Noe24qw2ks","LXhwmt4mBO","Bmrmz2XGnR","eOf03JbCpp","XIIwhv8d0m"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⊺⇮-5894","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1084","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1544, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2168","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=4569","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=4569, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-2168, right_input=-527, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=1226","layer":4},{"info":"compute unary expreesion, input=1226, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=2377","layer":4},{"info":"number node, value=6206","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=6206, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=-50, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=67, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=6136","layer":1},{"info":"compute unary expreesion, input=6136, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-5894","layer":0}],"base":10,"result_base":10,"text":"⇠(⊺⇮1084⨐⊺⇮1544⊨⊺⇮1062⨫⇇↔⊺⇮4569)⨑⩅≇((≸⊺⇮1226)≚⊃≕(⊺⇮2377⫌⩉⩟⊺⇮6206))=⊺⇮-5894","reverse_text":"⊺⇮-5894=⇠(⊺⇮1084⨐⊺⇮1544⊨⊺⇮1062⨫⇇↔⊺⇮4569)⨑⩅≇((≸⊺⇮1226)≚⊃≕(⊺⇮2377⫌⩉⩟⊺⇮6206))","cot":[{"info":"⊺⇮1084⨐⊺⇮1544=⊺⇮-2168","layer":3},{"info":"⊺⇮1062⨫⇇↔⊺⇮4569=⊺⇮-527","layer":3},{"info":"⊺⇮-2168⊨⊺⇮-527=⊺⇮-174","layer":2},{"info":"≸⊺⇮1226=⊺⇮58","layer":3},{"info":"⊺⇮2377⫌⩉⩟⊺⇮6206=⊺⇮-50","layer":3},{"info":"⊺⇮58≚⊃≕⊺⇮-50=⊺⇮67","layer":2},{"info":"⊺⇮-174⨑⩅≇⊺⇮67=⊺⇮6136","layer":1},{"info":"⇠⊺⇮6136=⊺⇮-5894","layer":0}]}
{"id":615,"expression_no_base_symbol":"(((⊗$2460$)⨉)⩨(($2577$↡⊰⫅$6245$)⊪))⇌⫙⪟($8615$⋷$2904$∟)⊮⊟↴(($1861$⋥≓≎$7382$)∴($1573$⪍↜⋙$2249$))","expression":"(((⊗⊺⇮2460)⨉)⩨((⊺⇮2577↡⊰⫅⊺⇮6245)⊪))⇌⫙⪟(⊺⇮8615⋷⊺⇮2904∟)⊮⊟↴((⊺⇮1861⋥≓≎⊺⇮7382)∴(⊺⇮1573⪍↜⋙⊺⇮2249))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":100987,"operation_count":12,"complexity_ratio":8415.583333333334,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2460,"base":10}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2577,"base":10},"right_expr":{"type":"numeric_atoms","value":6245,"base":10}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8615,"base":10},"right_expr":{"type":"numeric_atoms","value":2904,"base":10}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1861,"base":10},"right_expr":{"type":"numeric_atoms","value":7382,"base":10}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1573,"base":10},"right_expr":{"type":"numeric_atoms","value":2249,"base":10}}}}},"used_operators":["AFVx7xoS7T","2DlMacCsIx","aMUSaJuDRU","RhiyfpczSx","zVYPLywUTj","VCtxkLNOzz","QDVgd2eftb","hTbEZDJLEm","23Mk6UjR3U","hrf7POJlIJ","Qy55tPpLXF","L05ObWFQCd"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⊺⇮113","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2460","layer":4},{"info":"compute unary expreesion, input=2460, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-4920","layer":3},{"info":"compute unary expreesion, input=-4920, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=-7512","layer":2},{"info":"number node, value=2577","layer":4},{"info":"number node, value=6245","layer":4},{"info":"compute binary expreesion, left_input=2577, right_input=6245, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=12490","layer":3},{"info":"compute unary expreesion, input=12490, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-7512, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=8615","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=8615, right_input=2904, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2807","layer":3},{"info":"compute unary expreesion, input=-2807, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"number node, value=1861","layer":4},{"info":"number node, value=7382","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=7382, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12936","layer":3},{"info":"number node, value=1573","layer":4},{"info":"number node, value=2249","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=2249, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-13146","layer":3},{"info":"compute binary expreesion, left_input=12936, right_input=-13146, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=27520","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=27520, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":10,"result_base":10,"text":"(((⊗⊺⇮2460)⨉)⩨((⊺⇮2577↡⊰⫅⊺⇮6245)⊪))⇌⫙⪟(⊺⇮8615⋷⊺⇮2904∟)⊮⊟↴((⊺⇮1861⋥≓≎⊺⇮7382)∴(⊺⇮1573⪍↜⋙⊺⇮2249))=⊺⇮113","reverse_text":"⊺⇮113=(((⊗⊺⇮2460)⨉)⩨((⊺⇮2577↡⊰⫅⊺⇮6245)⊪))⇌⫙⪟(⊺⇮8615⋷⊺⇮2904∟)⊮⊟↴((⊺⇮1861⋥≓≎⊺⇮7382)∴(⊺⇮1573⪍↜⋙⊺⇮2249))","cot":[{"info":"⊗⊺⇮2460=⊺⇮-4920","layer":3},{"info":"⊺⇮-4920⨉=⊺⇮-7512","layer":2},{"info":"⊺⇮2577↡⊰⫅⊺⇮6245=⊺⇮12490","layer":3},{"info":"⊺⇮12490⊪=⊺⇮0","layer":2},{"info":"⊺⇮-7512⩨⊺⇮0=⊺⇮0","layer":1},{"info":"⊺⇮8615⋷⊺⇮2904=⊺⇮-2807","layer":3},{"info":"⊺⇮-2807∟=⊺⇮113","layer":2},{"info":"⊺⇮1861⋥≓≎⊺⇮7382=⊺⇮12936","layer":3},{"info":"⊺⇮1573⪍↜⋙⊺⇮2249=⊺⇮-13146","layer":3},{"info":"⊺⇮12936∴⊺⇮-13146=⊺⇮27520","layer":2},{"info":"⊺⇮113⊮⊟↴⊺⇮27520=⊺⇮0","layer":1},{"info":"⊺⇮0⇌⫙⪟⊺⇮0=⊺⇮113","layer":0}]}
{"id":616,"expression_no_base_symbol":"((($2201$%$3421$)≬⇓(≅≯⇸$1085$))⊹∫⫚$2068$⊬⨰$7818$⇷$6879$⫞⩸⩒$3873$)⩇∃⫛(($5960$↑)∀⇚≩(⊑$2163$)⊭↱($3964$∛$1349$)≴⪞⇿($4669$⨜⨶$8188$))","expression":"(((⊺⇮2201%⊺⇮3421)≬⇓(≅≯⇸⊺⇮1085))⊹∫⫚⊺⇮2068⊬⨰⊺⇮7818⇷⊺⇮6879⫞⩸⩒⊺⇮3873)⩇∃⫛((⊺⇮5960↑)∀⇚≩(⊑⊺⇮2163)⊭↱(⊺⇮3964∛⊺⇮1349)≴⪞⇿(⊺⇮4669⨜⨶⊺⇮8188))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":454438,"operation_count":15,"complexity_ratio":30295.866666666665,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2201,"base":10},"right_expr":{"type":"numeric_atoms","value":3421,"base":10}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1085,"base":10}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2068,"base":10},"right_expr":{"type":"numeric_atoms","value":7818,"base":10}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":6879,"base":10},"right_expr":{"type":"numeric_atoms","value":3873,"base":10}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":5960,"base":10}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2163,"base":10}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3964,"base":10},"right_expr":{"type":"numeric_atoms","value":1349,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4669,"base":10},"right_expr":{"type":"numeric_atoms","value":8188,"base":10}}}}},"used_operators":["1aApVXNlOP","uWAJUKEvyW","jWTQ2TZYIH","k8jYdgA6NY","apS25hmuAe","mp7IySMOzn","s3Fd5m9Dh2","XGcMNugi78","COABgblf1C","LRNGc0VcxI","BThhyOhh10","IkUmn0D7oy","lvlrscuwVU","w2537kitQq","HiPekx5b7W"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","EBcxylXtPf","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2201","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=3421, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2201","layer":3},{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=12017","layer":3},{"info":"compute binary expreesion, left_input=2201, right_input=12017, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=2068","layer":4},{"info":"number node, value=7818","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=7818, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=32284","layer":3},{"info":"number node, value=6879","layer":4},{"info":"number node, value=3873","layer":4},{"info":"compute binary expreesion, left_input=6879, right_input=3873, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3873","layer":3},{"info":"compute binary expreesion, left_input=32284, right_input=3873, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7746","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=7746, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-300","layer":1},{"info":"number node, value=5960","layer":4},{"info":"compute unary expreesion, input=5960, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"number node, value=2163","layer":4},{"info":"compute unary expreesion, input=2163, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=222, right_input=192, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3964","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=3964, right_input=1349, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=4669","layer":4},{"info":"number node, value=8188","layer":4},{"info":"compute binary expreesion, left_input=4669, right_input=8188, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-16120","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-16120, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-108037","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-108037, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-300, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2201%⊺⇮3421)≬⇓(≅≯⇸⊺⇮1085))⊹∫⫚⊺⇮2068⊬⨰⊺⇮7818⇷⊺⇮6879⫞⩸⩒⊺⇮3873)⩇∃⫛((⊺⇮5960↑)∀⇚≩(⊑⊺⇮2163)⊭↱(⊺⇮3964∛⊺⇮1349)≴⪞⇿(⊺⇮4669⨜⨶⊺⇮8188))=NaN","reverse_text":"NaN=(((⊺⇮2201%⊺⇮3421)≬⇓(≅≯⇸⊺⇮1085))⊹∫⫚⊺⇮2068⊬⨰⊺⇮7818⇷⊺⇮6879⫞⩸⩒⊺⇮3873)⩇∃⫛((⊺⇮5960↑)∀⇚≩(⊑⊺⇮2163)⊭↱(⊺⇮3964∛⊺⇮1349)≴⪞⇿(⊺⇮4669⨜⨶⊺⇮8188))","cot":[{"info":"⊺⇮2201%⊺⇮3421=⊺⇮2201","layer":3},{"info":"≅≯⇸⊺⇮1085=⊺⇮12017","layer":3},{"info":"⊺⇮2201≬⇓⊺⇮12017=⊺⇮-22","layer":2},{"info":"⊺⇮2068⊬⨰⊺⇮7818=⊺⇮32284","layer":3},{"info":"⊺⇮6879⫞⩸⩒⊺⇮3873=⊺⇮3873","layer":3},{"info":"⊺⇮32284⇷⊺⇮3873=⊺⇮7746","layer":2},{"info":"⊺⇮-22⊹∫⫚⊺⇮7746=⊺⇮-300","layer":1},{"info":"⊺⇮5960↑=⊺⇮222","layer":3},{"info":"⊑⊺⇮2163=⊺⇮192","layer":3},{"info":"⊺⇮222∀⇚≩⊺⇮192=NaN","layer":2},{"info":"⊺⇮3964∛⊺⇮1349=⊺⇮67","layer":3},{"info":"⊺⇮4669⨜⨶⊺⇮8188=⊺⇮-16120","layer":3},{"info":"⊺⇮67≴⪞⇿⊺⇮-16120=⊺⇮-108037","layer":2},{"info":"NaN⊭↱⊺⇮-108037=NaN","layer":1},{"info":"⊺⇮-300⩇∃⫛NaN=NaN","layer":0}]}
{"id":617,"expression_no_base_symbol":"(∮((∜⨇$2182$)⋳⪒(≋$3060$)))⩵∡($3929$⇌⫙⪟$1505$⪶≀⋏($2255$⩷∴$3355$))⇤((⫡⇟⇯$1096$)↓$9354$⫞⩸⩒$7437$)","expression":"(∮((∜⨇⊺⇮2182)⋳⪒(≋⊺⇮3060)))⩵∡(⊺⇮3929⇌⫙⪟⊺⇮1505⪶≀⋏(⊺⇮2255⩷∴⊺⇮3355))⇤((⫡⇟⇯⊺⇮1096)↓⊺⇮9354⫞⩸⩒⊺⇮7437)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":104585,"operation_count":12,"complexity_ratio":8715.416666666666,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2182,"base":10}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3060,"base":10}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3929,"base":10},"right_expr":{"type":"numeric_atoms","value":1505,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2255,"base":10},"right_expr":{"type":"numeric_atoms","value":3355,"base":10}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1096,"base":10}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":9354,"base":10},"right_expr":{"type":"numeric_atoms","value":7437,"base":10}}}}},"used_operators":["Y7wcNGrDQJ","CqXKPLVYql","12rbrZMWeM","uFPyJr306J","61wBmkZwlr","YSKBFp38Pu","zR4jO40bMj","AFVx7xoS7T","9FxExcQeMw","Af076pWI7l","qWUSsah53b","XGcMNugi78"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","7j4O788W3g","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DZ8iAZOCBD","P8v4zCKN1o","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2182","layer":4},{"info":"compute unary expreesion, input=2182, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=3060","layer":4},{"info":"compute unary expreesion, input=3060, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3060","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3060, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":1},{"info":"number node, value=3929","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=1505, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2255","layer":4},{"info":"number node, value=3355","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=3355, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2232","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-2232, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17856","layer":2},{"info":"number node, value=1096","layer":4},{"info":"compute unary expreesion, input=1096, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3060","layer":3},{"info":"number node, value=9354","layer":4},{"info":"number node, value=7437","layer":4},{"info":"compute binary expreesion, left_input=9354, right_input=7437, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=7437","layer":3},{"info":"compute binary expreesion, left_input=3060, right_input=7437, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-17856, right_input=-134, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=92798","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=92798, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∮((∜⨇⊺⇮2182)⋳⪒(≋⊺⇮3060)))⩵∡(⊺⇮3929⇌⫙⪟⊺⇮1505⪶≀⋏(⊺⇮2255⩷∴⊺⇮3355))⇤((⫡⇟⇯⊺⇮1096)↓⊺⇮9354⫞⩸⩒⊺⇮7437)=NaN","reverse_text":"NaN=(∮((∜⨇⊺⇮2182)⋳⪒(≋⊺⇮3060)))⩵∡(⊺⇮3929⇌⫙⪟⊺⇮1505⪶≀⋏(⊺⇮2255⩷∴⊺⇮3355))⇤((⫡⇟⇯⊺⇮1096)↓⊺⇮9354⫞⩸⩒⊺⇮7437)","cot":[{"info":"∜⨇⊺⇮2182=NaN","layer":3},{"info":"≋⊺⇮3060=⊺⇮3060","layer":3},{"info":"NaN⋳⪒⊺⇮3060=NaN","layer":2},{"info":"∮NaN=NaN","layer":1},{"info":"⊺⇮3929⇌⫙⪟⊺⇮1505=⊺⇮113","layer":3},{"info":"⊺⇮2255⩷∴⊺⇮3355=⊺⇮-2232","layer":3},{"info":"⊺⇮113⪶≀⋏⊺⇮-2232=⊺⇮-17856","layer":2},{"info":"⫡⇟⇯⊺⇮1096=⊺⇮3060","layer":3},{"info":"⊺⇮9354⫞⩸⩒⊺⇮7437=⊺⇮7437","layer":3},{"info":"⊺⇮3060↓⊺⇮7437=⊺⇮-134","layer":2},{"info":"⊺⇮-17856⇤⊺⇮-134=⊺⇮92798","layer":1},{"info":"NaN⩵∡⊺⇮92798=NaN","layer":0}]}
{"id":618,"expression_no_base_symbol":"⩪∧⨌(($1684$⋅⇍$1890$)⪝($4103$⫌⩉⩟$1656$)⊾⪯⋞($3181$⨸⪁$8142$)⩼⇪↪($4200$⋅⇍$1336$))","expression":"⩪∧⨌((⊺⇮1684⋅⇍⊺⇮1890)⪝(⊺⇮4103⫌⩉⩟⊺⇮1656)⊾⪯⋞(⊺⇮3181⨸⪁⊺⇮8142)⩼⇪↪(⊺⇮4200⋅⇍⊺⇮1336))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10838,"operation_count":8,"complexity_ratio":1354.75,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1684,"base":10},"right_expr":{"type":"numeric_atoms","value":1890,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4103,"base":10},"right_expr":{"type":"numeric_atoms","value":1656,"base":10}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3181,"base":10},"right_expr":{"type":"numeric_atoms","value":8142,"base":10}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4200,"base":10},"right_expr":{"type":"numeric_atoms","value":1336,"base":10}}}}},"used_operators":["6iOiAJX1F8","HK0tfVPux8","wicAB68Tmb","AdZkA7nFnk","XIIwhv8d0m","ocnLzx9CaJ","g55IO6H4Gj"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe"],"result":"⊺⇮889000","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1684","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1890, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=4103","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=4103, right_input=1656, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-50, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=225","layer":2},{"info":"number node, value=3181","layer":4},{"info":"number node, value=8142","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=8142, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22646","layer":3},{"info":"number node, value=4200","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=4200, right_input=1336, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=22646, right_input=-22, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=44663","layer":2},{"info":"compute binary expreesion, left_input=225, right_input=44663, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=88900","layer":1},{"info":"compute unary expreesion, input=88900, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=889000","layer":0}],"base":10,"result_base":10,"text":"⩪∧⨌((⊺⇮1684⋅⇍⊺⇮1890)⪝(⊺⇮4103⫌⩉⩟⊺⇮1656)⊾⪯⋞(⊺⇮3181⨸⪁⊺⇮8142)⩼⇪↪(⊺⇮4200⋅⇍⊺⇮1336))=⊺⇮889000","reverse_text":"⊺⇮889000=⩪∧⨌((⊺⇮1684⋅⇍⊺⇮1890)⪝(⊺⇮4103⫌⩉⩟⊺⇮1656)⊾⪯⋞(⊺⇮3181⨸⪁⊺⇮8142)⩼⇪↪(⊺⇮4200⋅⇍⊺⇮1336))","cot":[{"info":"⊺⇮1684⋅⇍⊺⇮1890=⊺⇮-22","layer":3},{"info":"⊺⇮4103⫌⩉⩟⊺⇮1656=⊺⇮-50","layer":3},{"info":"⊺⇮-22⪝⊺⇮-50=⊺⇮225","layer":2},{"info":"⊺⇮3181⨸⪁⊺⇮8142=⊺⇮22646","layer":3},{"info":"⊺⇮4200⋅⇍⊺⇮1336=⊺⇮-22","layer":3},{"info":"⊺⇮22646⩼⇪↪⊺⇮-22=⊺⇮44663","layer":2},{"info":"⊺⇮225⊾⪯⋞⊺⇮44663=⊺⇮88900","layer":1},{"info":"⩪∧⨌⊺⇮88900=⊺⇮889000","layer":0}]}
{"id":619,"expression_no_base_symbol":"($4501$≎⊠⪸$3344$↱($3797$⩹$1155$))↬(($4246$⇮⋭$2416$)⇮⋭$3711$⨫⇇↔$1014$)⫸⇳($6039$⪚$2749$∽$1532$⇡⇂$5740$)⇴∐(⊿$7648$≒∊$3172$)","expression":"(⊺⇮4501≎⊠⪸⊺⇮3344↱(⊺⇮3797⩹⊺⇮1155))↬((⊺⇮4246⇮⋭⊺⇮2416)⇮⋭⊺⇮3711⨫⇇↔⊺⇮1014)⫸⇳(⊺⇮6039⪚⊺⇮2749∽⊺⇮1532⇡⇂⊺⇮5740)⇴∐(⊿⊺⇮7648≒∊⊺⇮3172)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":40302,"operation_count":14,"complexity_ratio":2878.714285714286,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4501,"base":10},"right_expr":{"type":"numeric_atoms","value":3344,"base":10}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3797,"base":10},"right_expr":{"type":"numeric_atoms","value":1155,"base":10}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4246,"base":10},"right_expr":{"type":"numeric_atoms","value":2416,"base":10}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3711,"base":10},"right_expr":{"type":"numeric_atoms","value":1014,"base":10}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":6039,"base":10},"right_expr":{"type":"numeric_atoms","value":2749,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1532,"base":10},"right_expr":{"type":"numeric_atoms","value":5740,"base":10}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":7648,"base":10},"right_expr":{"type":"numeric_atoms","value":3172,"base":10}}}}},"used_operators":["gx7XJ7hdpj","B5M0gjZbta","SR5kFfdi6N","bJkvcejdHO","2Wsdkap16l","vkpjKywKVM","LXhwmt4mBO","HnzytWxmAO","y4ImoPnbV5","HrjLwUk87U","UMwdvZNt44","DO4fhlbJSI","5KTvxBwnZo"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","NTOWxs364D","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4501","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=3344, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1165286","layer":3},{"info":"number node, value=3797","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=3797, right_input=1155, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1153","layer":3},{"info":"compute binary expreesion, left_input=1165286, right_input=1153, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2937","layer":2},{"info":"number node, value=4246","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=4246, right_input=2416, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3711","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=3711, right_input=1014, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-527, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-2937, right_input=67, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=6039","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=6039, right_input=2749, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=6224","layer":3},{"info":"number node, value=1532","layer":4},{"info":"number node, value=5740","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=5740, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6224, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=7648","layer":4},{"info":"number node, value=3172","layer":4},{"info":"compute binary expreesion, left_input=7648, right_input=3172, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-7164","layer":3},{"info":"compute unary expreesion, input=-7164, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=30042","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=30042, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4501≎⊠⪸⊺⇮3344↱(⊺⇮3797⩹⊺⇮1155))↬((⊺⇮4246⇮⋭⊺⇮2416)⇮⋭⊺⇮3711⨫⇇↔⊺⇮1014)⫸⇳(⊺⇮6039⪚⊺⇮2749∽⊺⇮1532⇡⇂⊺⇮5740)⇴∐(⊿⊺⇮7648≒∊⊺⇮3172)=NaN","reverse_text":"NaN=(⊺⇮4501≎⊠⪸⊺⇮3344↱(⊺⇮3797⩹⊺⇮1155))↬((⊺⇮4246⇮⋭⊺⇮2416)⇮⋭⊺⇮3711⨫⇇↔⊺⇮1014)⫸⇳(⊺⇮6039⪚⊺⇮2749∽⊺⇮1532⇡⇂⊺⇮5740)⇴∐(⊿⊺⇮7648≒∊⊺⇮3172)","cot":[{"info":"⊺⇮4501≎⊠⪸⊺⇮3344=⊺⇮1165286","layer":3},{"info":"⊺⇮3797⩹⊺⇮1155=⊺⇮1153","layer":3},{"info":"⊺⇮1165286↱⊺⇮1153=⊺⇮-2937","layer":2},{"info":"⊺⇮4246⇮⋭⊺⇮2416=⊺⇮-473","layer":3},{"info":"⊺⇮3711⨫⇇↔⊺⇮1014=⊺⇮-527","layer":3},{"info":"⊺⇮-473⇮⋭⊺⇮-527=⊺⇮67","layer":2},{"info":"⊺⇮-2937↬⊺⇮67=NaN","layer":1},{"info":"⊺⇮6039⪚⊺⇮2749=⊺⇮6224","layer":3},{"info":"⊺⇮1532⇡⇂⊺⇮5740=NaN","layer":3},{"info":"⊺⇮6224∽NaN=NaN","layer":2},{"info":"⊺⇮7648≒∊⊺⇮3172=⊺⇮-7164","layer":3},{"info":"⊿⊺⇮-7164=⊺⇮30042","layer":2},{"info":"NaN⇴∐⊺⇮30042=NaN","layer":1},{"info":"NaN⫸⇳NaN=NaN","layer":0}]}
{"id":620,"expression_no_base_symbol":"((⇜$2488$)⋾⨃∁($1647$≬⇓$4224$)⩧⪆($4643$⊝⪿⪼$2041$)⨫⇇↔($2051$∈))⫗⊷⫓((⇾⩊⇾(⊄⩳↩$1013$))∛((⨞⊢$1844$)≥⨤⩑$5629$⫁$2159$))","expression":"((⇜⊺⇮2488)⋾⨃∁(⊺⇮1647≬⇓⊺⇮4224)⩧⪆(⊺⇮4643⊝⪿⪼⊺⇮2041)⨫⇇↔(⊺⇮2051∈))⫗⊷⫓((⇾⩊⇾(⊄⩳↩⊺⇮1013))∛((⨞⊢⊺⇮1844)≥⨤⩑⊺⇮5629⫁⊺⇮2159))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":51774,"operation_count":14,"complexity_ratio":3698.1428571428573,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2488,"base":10}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1647,"base":10},"right_expr":{"type":"numeric_atoms","value":4224,"base":10}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4643,"base":10},"right_expr":{"type":"numeric_atoms","value":2041,"base":10}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":2051,"base":10}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1013,"base":10}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1844,"base":10}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5629,"base":10},"right_expr":{"type":"numeric_atoms","value":2159,"base":10}}}}},"used_operators":["zashukvMKz","Ikt5ks8PT7","212REbPD9h","lFBm8KRb8F","jWTQ2TZYIH","LXhwmt4mBO","3Oe9XWJUTD","ztP7wcbY7m","w2537kitQq","bx9Z9DAK5y","8w2t5hMYqp","gJLn6v0xnP","xUOZtlo3hN","0ajvFaJAv0"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eewbuw0ToL","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2488","layer":4},{"info":"compute unary expreesion, input=2488, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-20312","layer":3},{"info":"number node, value=1647","layer":4},{"info":"number node, value=4224","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=4224, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-20312, right_input=-22, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"number node, value=4643","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=4643, right_input=2041, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=66121","layer":3},{"info":"number node, value=2051","layer":4},{"info":"compute unary expreesion, input=2051, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=5482","layer":3},{"info":"compute binary expreesion, left_input=66121, right_input=5482, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-527, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=527","layer":1},{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3039","layer":3},{"info":"compute unary expreesion, input=-3039, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=20865","layer":2},{"info":"number node, value=1844","layer":4},{"info":"compute unary expreesion, input=1844, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2018","layer":3},{"info":"number node, value=5629","layer":4},{"info":"number node, value=2159","layer":4},{"info":"compute binary expreesion, left_input=5629, right_input=2159, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-2018, right_input=160, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=20865, right_input=1234, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=527, right_input=67, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":10,"result_base":10,"text":"((⇜⊺⇮2488)⋾⨃∁(⊺⇮1647≬⇓⊺⇮4224)⩧⪆(⊺⇮4643⊝⪿⪼⊺⇮2041)⨫⇇↔(⊺⇮2051∈))⫗⊷⫓((⇾⩊⇾(⊄⩳↩⊺⇮1013))∛((⨞⊢⊺⇮1844)≥⨤⩑⊺⇮5629⫁⊺⇮2159))=⊺⇮-134","reverse_text":"⊺⇮-134=((⇜⊺⇮2488)⋾⨃∁(⊺⇮1647≬⇓⊺⇮4224)⩧⪆(⊺⇮4643⊝⪿⪼⊺⇮2041)⨫⇇↔(⊺⇮2051∈))⫗⊷⫓((⇾⩊⇾(⊄⩳↩⊺⇮1013))∛((⨞⊢⊺⇮1844)≥⨤⩑⊺⇮5629⫁⊺⇮2159))","cot":[{"info":"⇜⊺⇮2488=⊺⇮-20312","layer":3},{"info":"⊺⇮1647≬⇓⊺⇮4224=⊺⇮-22","layer":3},{"info":"⊺⇮-20312⋾⨃∁⊺⇮-22=⊺⇮160","layer":2},{"info":"⊺⇮4643⊝⪿⪼⊺⇮2041=⊺⇮66121","layer":3},{"info":"⊺⇮2051∈=⊺⇮5482","layer":3},{"info":"⊺⇮66121⨫⇇↔⊺⇮5482=⊺⇮-527","layer":2},{"info":"⊺⇮160⩧⪆⊺⇮-527=⊺⇮527","layer":1},{"info":"⊄⩳↩⊺⇮1013=⊺⇮-3039","layer":3},{"info":"⇾⩊⇾⊺⇮-3039=⊺⇮20865","layer":2},{"info":"⨞⊢⊺⇮1844=⊺⇮-2018","layer":3},{"info":"⊺⇮5629⫁⊺⇮2159=⊺⇮160","layer":3},{"info":"⊺⇮-2018≥⨤⩑⊺⇮160=⊺⇮1234","layer":2},{"info":"⊺⇮20865∛⊺⇮1234=⊺⇮67","layer":1},{"info":"⊺⇮527⫗⊷⫓⊺⇮67=⊺⇮-134","layer":0}]}
{"id":621,"expression_no_base_symbol":"⩩((⪫⨮⊛(⫎≠⋺$4722$))≒∊((⪛⨧$3317$)⊭↱(⋣$8565$)))","expression":"⩩((⪫⨮⊛(⫎≠⋺⊺⇮4722))≒∊((⪛⨧⊺⇮3317)⊭↱(⋣⊺⇮8565)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":235891,"operation_count":7,"complexity_ratio":33698.71428571428,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4722,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3317,"base":10}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":8565,"base":10}}}}},"used_operators":["kMhfGuqI2H","5KTvxBwnZo","w5FWba1tyO","LYeZOJ0nQG","COABgblf1C","6NJAcO2OWT","zQWRhDnn8F"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4722","layer":4},{"info":"compute unary expreesion, input=4722, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=0","layer":2},{"info":"number node, value=3317","layer":4},{"info":"compute unary expreesion, input=3317, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=8035","layer":3},{"info":"number node, value=8565","layer":4},{"info":"compute unary expreesion, input=8565, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-2518015","layer":3},{"info":"compute binary expreesion, left_input=8035, right_input=-2518015, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5052095","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5052095, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":1},{"info":"compute unary expreesion, input=484, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⩩((⪫⨮⊛(⫎≠⋺⊺⇮4722))≒∊((⪛⨧⊺⇮3317)⊭↱(⋣⊺⇮8565)))=NaN","reverse_text":"NaN=⩩((⪫⨮⊛(⫎≠⋺⊺⇮4722))≒∊((⪛⨧⊺⇮3317)⊭↱(⋣⊺⇮8565)))","cot":[{"info":"⫎≠⋺⊺⇮4722=⊺⇮0","layer":3},{"info":"⪫⨮⊛⊺⇮0=⊺⇮0","layer":2},{"info":"⪛⨧⊺⇮3317=⊺⇮8035","layer":3},{"info":"⋣⊺⇮8565=⊺⇮-2518015","layer":3},{"info":"⊺⇮8035⊭↱⊺⇮-2518015=⊺⇮-5052095","layer":2},{"info":"⊺⇮0≒∊⊺⇮-5052095=⊺⇮484","layer":1},{"info":"⩩⊺⇮484=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"($2555$⫃⨇$1356$⫚↹⊑$3593$↺$2160$)≳⇉(($1503$⫲⨊)⩨(⩦⊞$2128$))⫥∨⫟(≯($2514$⇻⋧≁$1674$⪄$1294$⋥⋵⩄$1651$))","expression":"(⊺⇮2555⫃⨇⊺⇮1356⫚↹⊑⊺⇮3593↺⊺⇮2160)≳⇉((⊺⇮1503⫲⨊)⩨(⩦⊞⊺⇮2128))⫥∨⫟(≯(⊺⇮2514⇻⋧≁⊺⇮1674⪄⊺⇮1294⋥⋵⩄⊺⇮1651))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8107,"operation_count":12,"complexity_ratio":675.5833333333334,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2555,"base":10},"right_expr":{"type":"numeric_atoms","value":1356,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3593,"base":10},"right_expr":{"type":"numeric_atoms","value":2160,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1503,"base":10}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2128,"base":10}}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2514,"base":10},"right_expr":{"type":"numeric_atoms","value":1674,"base":10}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1294,"base":10},"right_expr":{"type":"numeric_atoms","value":1651,"base":10}}}}},"used_operators":["KYD54nUTWz","V0kx6qeWkN","dfKe02y8D2","09Ly4LVMIf","7j4O788W3g","2DlMacCsIx","CArV6hThFE","u7fv1HBiaC","keWfFq85dY","SUmda5xLS4","jCPkEVoL5K","7t3wd0Fuz7"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","g55IO6H4Gj","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=1356, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5456","layer":3},{"info":"number node, value=3593","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=3593, right_input=2160, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2160","layer":3},{"info":"compute binary expreesion, left_input=-5456, right_input=2160, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1503","layer":4},{"info":"compute unary expreesion, input=1503, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=8298","layer":3},{"info":"number node, value=2128","layer":4},{"info":"compute unary expreesion, input=2128, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1855","layer":3},{"info":"compute binary expreesion, left_input=8298, right_input=-1855, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=3, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=2514","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=1674, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1294","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=1651, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=113, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2555⫃⨇⊺⇮1356⫚↹⊑⊺⇮3593↺⊺⇮2160)≳⇉((⊺⇮1503⫲⨊)⩨(⩦⊞⊺⇮2128))⫥∨⫟(≯(⊺⇮2514⇻⋧≁⊺⇮1674⪄⊺⇮1294⋥⋵⩄⊺⇮1651))=NaN","reverse_text":"NaN=(⊺⇮2555⫃⨇⊺⇮1356⫚↹⊑⊺⇮3593↺⊺⇮2160)≳⇉((⊺⇮1503⫲⨊)⩨(⩦⊞⊺⇮2128))⫥∨⫟(≯(⊺⇮2514⇻⋧≁⊺⇮1674⪄⊺⇮1294⋥⋵⩄⊺⇮1651))","cot":[{"info":"⊺⇮2555⫃⨇⊺⇮1356=⊺⇮-5456","layer":3},{"info":"⊺⇮3593↺⊺⇮2160=⊺⇮2160","layer":3},{"info":"⊺⇮-5456⫚↹⊑⊺⇮2160=⊺⇮-447","layer":2},{"info":"⊺⇮1503⫲⨊=⊺⇮8298","layer":3},{"info":"⩦⊞⊺⇮2128=⊺⇮-1855","layer":3},{"info":"⊺⇮8298⩨⊺⇮-1855=⊺⇮3","layer":2},{"info":"⊺⇮-447≳⇉⊺⇮3=NaN","layer":1},{"info":"⊺⇮2514⇻⋧≁⊺⇮1674=⊺⇮-447","layer":3},{"info":"⊺⇮1294⋥⋵⩄⊺⇮1651=⊺⇮113","layer":3},{"info":"⊺⇮-447⪄⊺⇮113=⊺⇮3979","layer":2},{"info":"≯⊺⇮3979=⊺⇮0","layer":1},{"info":"NaN⫥∨⫟⊺⇮0=NaN","layer":0}]}
{"id":623,"expression_no_base_symbol":"(↥≼⋛$1384$≴⪞⇿$1646$⪉⨛$1916$⩵∡$7402$)⇮⋭(($5568$⩢≌)⊴($1542$⪭$6043$))⨽∌((⊿$2893$)↙$2324$⩷∴$3633$)","expression":"(↥≼⋛⊺⇮1384≴⪞⇿⊺⇮1646⪉⨛⊺⇮1916⩵∡⊺⇮7402)⇮⋭((⊺⇮5568⩢≌)⊴(⊺⇮1542⪭⊺⇮6043))⨽∌((⊿⊺⇮2893)↙⊺⇮2324⩷∴⊺⇮3633)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1885,"operation_count":12,"complexity_ratio":157.08333333333334,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1384,"base":10},"right_expr":{"type":"numeric_atoms","value":1646,"base":10}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1916,"base":10},"right_expr":{"type":"numeric_atoms","value":7402,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":5568,"base":10}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1542,"base":10},"right_expr":{"type":"numeric_atoms","value":6043,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":2893,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2324,"base":10},"right_expr":{"type":"numeric_atoms","value":3633,"base":10}}}}},"used_operators":["vkpjKywKVM","x5lMkHmzsq","EWw2JM7wp4","lvlrscuwVU","Y7wcNGrDQJ","9samAPKr6k","Nsiff2A1zJ","D617RFjZIq","j9kHMeSvPp","yyfyN0ffXY","DO4fhlbJSI","9FxExcQeMw"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","dWAJyo7jo9","14qkJME0vr","hTbEZDJLEm","o20kRiQErp","COABgblf1C","xUOZtlo3hN","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z"],"result":"⊺⇮-473","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1384","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1646, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=2468876","layer":3},{"info":"number node, value=1916","layer":4},{"info":"number node, value=7402","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=7402, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3449","layer":3},{"info":"compute binary expreesion, left_input=2468876, right_input=3449, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7403394","layer":2},{"info":"compute unary expreesion, input=7403394, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"number node, value=5568","layer":4},{"info":"compute unary expreesion, input=5568, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=1542","layer":4},{"info":"number node, value=6043","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=6043, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=5, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2893","layer":4},{"info":"compute unary expreesion, input=2893, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-12310","layer":3},{"info":"number node, value=2324","layer":4},{"info":"number node, value=3633","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=3633, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2650","layer":3},{"info":"compute binary expreesion, left_input=-12310, right_input=-2650, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12310","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12310, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":0}],"base":10,"result_base":10,"text":"(↥≼⋛⊺⇮1384≴⪞⇿⊺⇮1646⪉⨛⊺⇮1916⩵∡⊺⇮7402)⇮⋭((⊺⇮5568⩢≌)⊴(⊺⇮1542⪭⊺⇮6043))⨽∌((⊿⊺⇮2893)↙⊺⇮2324⩷∴⊺⇮3633)=⊺⇮-473","reverse_text":"⊺⇮-473=(↥≼⋛⊺⇮1384≴⪞⇿⊺⇮1646⪉⨛⊺⇮1916⩵∡⊺⇮7402)⇮⋭((⊺⇮5568⩢≌)⊴(⊺⇮1542⪭⊺⇮6043))⨽∌((⊿⊺⇮2893)↙⊺⇮2324⩷∴⊺⇮3633)","cot":[{"info":"⊺⇮1384≴⪞⇿⊺⇮1646=⊺⇮2468876","layer":3},{"info":"⊺⇮1916⩵∡⊺⇮7402=⊺⇮3449","layer":3},{"info":"⊺⇮2468876⪉⨛⊺⇮3449=⊺⇮7403394","layer":2},{"info":"↥≼⋛⊺⇮7403394=⊺⇮-113","layer":1},{"info":"⊺⇮5568⩢≌=⊺⇮113","layer":3},{"info":"⊺⇮1542⪭⊺⇮6043=⊺⇮5","layer":3},{"info":"⊺⇮113⊴⊺⇮5=NaN","layer":2},{"info":"⊿⊺⇮2893=⊺⇮-12310","layer":3},{"info":"⊺⇮2324⩷∴⊺⇮3633=⊺⇮-2650","layer":3},{"info":"⊺⇮-12310↙⊺⇮-2650=⊺⇮-12310","layer":2},{"info":"NaN⨽∌⊺⇮-12310=⊺⇮0","layer":1},{"info":"⊺⇮-113⇮⋭⊺⇮0=⊺⇮-473","layer":0}]}
{"id":624,"expression_no_base_symbol":"($9491$⨂≜$3384$⫦⪉$5902$⋥⋵⩄$3413$)⨥⫆($2668$⊝⪿⪼$1104$⊍⩺⋍($1009$+$8060$))⪕(($4951$⨑≵⋬$1007$)≭$4691$↓$1488$)∣$3395$⊮⊟↴$1572$≁($1113$≫≃)","expression":"(⊺⇮9491⨂≜⊺⇮3384⫦⪉⊺⇮5902⋥⋵⩄⊺⇮3413)⨥⫆(⊺⇮2668⊝⪿⪼⊺⇮1104⊍⩺⋍(⊺⇮1009+⊺⇮8060))⪕((⊺⇮4951⨑≵⋬⊺⇮1007)≭⊺⇮4691↓⊺⇮1488)∣⊺⇮3395⊮⊟↴⊺⇮1572≁(⊺⇮1113≫≃)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":31030,"operation_count":15,"complexity_ratio":2068.6666666666665,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":9491,"base":10},"right_expr":{"type":"numeric_atoms","value":3384,"base":10}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5902,"base":10},"right_expr":{"type":"numeric_atoms","value":3413,"base":10}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2668,"base":10},"right_expr":{"type":"numeric_atoms","value":1104,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1009,"base":10},"right_expr":{"type":"numeric_atoms","value":8060,"base":10}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4951,"base":10},"right_expr":{"type":"numeric_atoms","value":1007,"base":10}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4691,"base":10},"right_expr":{"type":"numeric_atoms","value":1488,"base":10}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3395,"base":10},"right_expr":{"type":"numeric_atoms","value":1572,"base":10}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1113,"base":10}}}}},"used_operators":["umQnsF7QlU","yXekIHxTD4","wscyQdcy20","k1SHOSEABc","7t3wd0Fuz7","OXDGMFPWZM","3Oe9XWJUTD","W4YGzv6Whe","PPChnnnBFF","rxpJgHHUmx","XnXgA4xnOs","Af076pWI7l","8N2wDY1A35","QDVgd2eftb","X99M06cbEe"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","AHs5Up7iyr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⊺⇮935","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9491","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=9491, right_input=3384, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5902","layer":4},{"info":"number node, value=3413","layer":4},{"info":"compute binary expreesion, left_input=5902, right_input=3413, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":2},{"info":"number node, value=2668","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=1104, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=42320","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=8060","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=8060, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9069","layer":3},{"info":"compute binary expreesion, left_input=42320, right_input=9069, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"number node, value=4951","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=4951, right_input=1007, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=19085","layer":3},{"info":"number node, value=4691","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=4691, right_input=1488, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=19085, right_input=-134, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3395","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=1572, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3627","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3627, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮9491⨂≜⊺⇮3384⫦⪉⊺⇮5902⋥⋵⩄⊺⇮3413)⨥⫆(⊺⇮2668⊝⪿⪼⊺⇮1104⊍⩺⋍(⊺⇮1009+⊺⇮8060))⪕((⊺⇮4951⨑≵⋬⊺⇮1007)≭⊺⇮4691↓⊺⇮1488)∣⊺⇮3395⊮⊟↴⊺⇮1572≁(⊺⇮1113≫≃)=⊺⇮935","reverse_text":"⊺⇮935=(⊺⇮9491⨂≜⊺⇮3384⫦⪉⊺⇮5902⋥⋵⩄⊺⇮3413)⨥⫆(⊺⇮2668⊝⪿⪼⊺⇮1104⊍⩺⋍(⊺⇮1009+⊺⇮8060))⪕((⊺⇮4951⨑≵⋬⊺⇮1007)≭⊺⇮4691↓⊺⇮1488)∣⊺⇮3395⊮⊟↴⊺⇮1572≁(⊺⇮1113≫≃)","cot":[{"info":"⊺⇮9491⨂≜⊺⇮3384=NaN","layer":3},{"info":"⊺⇮5902⋥⋵⩄⊺⇮3413=⊺⇮113","layer":3},{"info":"NaN⫦⪉⊺⇮113=NaN","layer":2},{"info":"⊺⇮2668⊝⪿⪼⊺⇮1104=⊺⇮42320","layer":3},{"info":"⊺⇮1009+⊺⇮8060=⊺⇮9069","layer":3},{"info":"⊺⇮42320⊍⩺⋍⊺⇮9069=NaN","layer":2},{"info":"NaN⨥⫆NaN=NaN","layer":1},{"info":"⊺⇮4951⨑≵⋬⊺⇮1007=⊺⇮19085","layer":3},{"info":"⊺⇮4691↓⊺⇮1488=⊺⇮-134","layer":3},{"info":"⊺⇮19085≭⊺⇮-134=NaN","layer":2},{"info":"⊺⇮3395⊮⊟↴⊺⇮1572=⊺⇮0","layer":3},{"info":"⊺⇮1113≫≃=⊺⇮3627","layer":3},{"info":"⊺⇮0≁⊺⇮3627=NaN","layer":2},{"info":"NaN∣NaN=NaN","layer":1},{"info":"NaN⪕NaN=⊺⇮935","layer":0}]}
{"id":625,"expression_no_base_symbol":"(($2184$⊘)⩅⪻⪻)⨿((↪⫪⫘$5342$)⨽⪊≇)≓∲($8701$⫸⇳$2654$⊜)≁↽≥((⩒∊$3629$)↤⩊($6812$⨳⩥⨓$5255$))","expression":"((⊺⇮2184⊘)⩅⪻⪻)⨿((↪⫪⫘⊺⇮5342)⨽⪊≇)≓∲(⊺⇮8701⫸⇳⊺⇮2654⊜)≁↽≥((⩒∊⊺⇮3629)↤⩊(⊺⇮6812⨳⩥⨓⊺⇮5255))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":865,"operation_count":12,"complexity_ratio":72.08333333333333,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2184,"base":10}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":5342,"base":10}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":8701,"base":10},"right_expr":{"type":"numeric_atoms","value":2654,"base":10}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":3629,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6812,"base":10},"right_expr":{"type":"numeric_atoms","value":5255,"base":10}}}}},"used_operators":["s1XTVnmDOJ","abYXlopdE0","kHoXpA7yos","gu96TGCTMs","nlCqmYiOvY","9dWsAM3GFt","ncHt1X6cMc","Eev2Q7dYIw","gx7XJ7hdpj","13rbtpv6ld","qazvmhNBbN","nCS4ZIUYfx"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2184","layer":4},{"info":"compute unary expreesion, input=2184, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=575","layer":2},{"info":"number node, value=5342","layer":4},{"info":"compute unary expreesion, input=5342, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-486","layer":2},{"info":"compute binary expreesion, left_input=575, right_input=-486, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=8701","layer":4},{"info":"number node, value=2654","layer":4},{"info":"compute binary expreesion, left_input=8701, right_input=2654, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1736","layer":2},{"info":"number node, value=3629","layer":4},{"info":"compute unary expreesion, input=3629, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=6501","layer":3},{"info":"number node, value=6812","layer":4},{"info":"number node, value=5255","layer":4},{"info":"compute binary expreesion, left_input=6812, right_input=5255, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1557","layer":3},{"info":"compute binary expreesion, left_input=6501, right_input=-1557, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1736, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2184⊘)⩅⪻⪻)⨿((↪⫪⫘⊺⇮5342)⨽⪊≇)≓∲(⊺⇮8701⫸⇳⊺⇮2654⊜)≁↽≥((⩒∊⊺⇮3629)↤⩊(⊺⇮6812⨳⩥⨓⊺⇮5255))=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮2184⊘)⩅⪻⪻)⨿((↪⫪⫘⊺⇮5342)⨽⪊≇)≓∲(⊺⇮8701⫸⇳⊺⇮2654⊜)≁↽≥((⩒∊⊺⇮3629)↤⩊(⊺⇮6812⨳⩥⨓⊺⇮5255))","cot":[{"info":"⊺⇮2184⊘=⊺⇮0","layer":3},{"info":"⊺⇮0⩅⪻⪻=⊺⇮575","layer":2},{"info":"↪⫪⫘⊺⇮5342=⊺⇮20","layer":3},{"info":"⊺⇮20⨽⪊≇=⊺⇮-486","layer":2},{"info":"⊺⇮575⨿⊺⇮-486=⊺⇮-319","layer":1},{"info":"⊺⇮8701⫸⇳⊺⇮2654=⊺⇮0","layer":3},{"info":"⊺⇮0⊜=⊺⇮1736","layer":2},{"info":"⩒∊⊺⇮3629=⊺⇮6501","layer":3},{"info":"⊺⇮6812⨳⩥⨓⊺⇮5255=⊺⇮-1557","layer":3},{"info":"⊺⇮6501↤⩊⊺⇮-1557=NaN","layer":2},{"info":"⊺⇮1736≁↽≥NaN=NaN","layer":1},{"info":"⊺⇮-319≓∲NaN=⊺⇮67","layer":0}]}
{"id":626,"expression_no_base_symbol":"↩($2922$⊔$1536$∝$1071$⇡⇂$3952$)⫒⫫($2732$⋝⋈⪟$2858$⩨$2257$⨂≜$1674$)","expression":"↩(⊺⇮2922⊔⊺⇮1536∝⊺⇮1071⇡⇂⊺⇮3952)⫒⫫(⊺⇮2732⋝⋈⪟⊺⇮2858⩨⊺⇮2257⨂≜⊺⇮1674)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27234,"operation_count":8,"complexity_ratio":3404.25,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2922,"base":10},"right_expr":{"type":"numeric_atoms","value":1536,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1071,"base":10},"right_expr":{"type":"numeric_atoms","value":3952,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2732,"base":10},"right_expr":{"type":"numeric_atoms","value":2858,"base":10}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2257,"base":10},"right_expr":{"type":"numeric_atoms","value":1674,"base":10}}}}},"used_operators":["jLgFTUHLKL","6Ko8hGgeMq","cTDWOvIxvz","E4l6HwMY31","UMwdvZNt44","2DlMacCsIx","2DDjHMKMc0","k1SHOSEABc"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2922","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=1536, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=11124","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=3952","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3952, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11124, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=2732","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=2858, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2732","layer":3},{"info":"number node, value=2257","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=1674, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2732, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↩(⊺⇮2922⊔⊺⇮1536∝⊺⇮1071⇡⇂⊺⇮3952)⫒⫫(⊺⇮2732⋝⋈⪟⊺⇮2858⩨⊺⇮2257⨂≜⊺⇮1674)=NaN","reverse_text":"NaN=↩(⊺⇮2922⊔⊺⇮1536∝⊺⇮1071⇡⇂⊺⇮3952)⫒⫫(⊺⇮2732⋝⋈⪟⊺⇮2858⩨⊺⇮2257⨂≜⊺⇮1674)","cot":[{"info":"⊺⇮2922⊔⊺⇮1536=⊺⇮11124","layer":3},{"info":"⊺⇮1071⇡⇂⊺⇮3952=NaN","layer":3},{"info":"⊺⇮11124∝NaN=NaN","layer":2},{"info":"⊺⇮2732⋝⋈⪟⊺⇮2858=⊺⇮2732","layer":3},{"info":"⊺⇮2257⨂≜⊺⇮1674=NaN","layer":3},{"info":"⊺⇮2732⩨NaN=NaN","layer":2},{"info":"NaN⫒⫫NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"(($4051$≳⇉$1630$⩹(≅≯⇸$4958$))⨲)⪒⊣⊆(↓⇌(($5616$⫰⋱$6555$)↑))","expression":"((⊺⇮4051≳⇉⊺⇮1630⩹(≅≯⇸⊺⇮4958))⨲)⪒⊣⊆(↓⇌((⊺⇮5616⫰⋱⊺⇮6555)↑))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41038441,"operation_count":8,"complexity_ratio":5129805.125,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4051,"base":10},"right_expr":{"type":"numeric_atoms","value":1630,"base":10}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":4958,"base":10}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":5616,"base":10},"right_expr":{"type":"numeric_atoms","value":6555,"base":10}}}}},"used_operators":["eRqsBgTDFp","nLYMGWM7L8","2Wsdkap16l","V0kx6qeWkN","apS25hmuAe","PxpmPgHHJV","BThhyOhh10","6o9Blt3TJ6"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","EBcxylXtPf","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4051","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=4051, right_input=1630, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=4958","layer":4},{"info":"compute unary expreesion, input=4958, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=27509","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27509, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=27507","layer":2},{"info":"compute unary expreesion, input=27507, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=nan","layer":1},{"info":"number node, value=5616","layer":4},{"info":"number node, value=6555","layer":4},{"info":"compute binary expreesion, left_input=5616, right_input=6555, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5583","layer":3},{"info":"compute unary expreesion, input=-5583, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute unary expreesion, input=222, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=222","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=222, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4051≳⇉⊺⇮1630⩹(≅≯⇸⊺⇮4958))⨲)⪒⊣⊆(↓⇌((⊺⇮5616⫰⋱⊺⇮6555)↑))=NaN","reverse_text":"NaN=((⊺⇮4051≳⇉⊺⇮1630⩹(≅≯⇸⊺⇮4958))⨲)⪒⊣⊆(↓⇌((⊺⇮5616⫰⋱⊺⇮6555)↑))","cot":[{"info":"⊺⇮4051≳⇉⊺⇮1630=NaN","layer":3},{"info":"≅≯⇸⊺⇮4958=⊺⇮27509","layer":3},{"info":"NaN⩹⊺⇮27509=⊺⇮27507","layer":2},{"info":"⊺⇮27507⨲=NaN","layer":1},{"info":"⊺⇮5616⫰⋱⊺⇮6555=⊺⇮-5583","layer":3},{"info":"⊺⇮-5583↑=⊺⇮222","layer":2},{"info":"↓⇌⊺⇮222=⊺⇮222","layer":1},{"info":"NaN⪒⊣⊆⊺⇮222=NaN","layer":0}]}
{"id":628,"expression_no_base_symbol":"(≋($2324$≬⇓$1140$))⇂≾⫗(⩷⨜⫀($3929$⨽∌$1271$))⨽∌((⋠∜($1470$⋓$3849$))⩦(($2671$⪛⫼$2150$)⇄$3846$⨸$5323$))","expression":"(≋(⊺⇮2324≬⇓⊺⇮1140))⇂≾⫗(⩷⨜⫀(⊺⇮3929⨽∌⊺⇮1271))⨽∌((⋠∜(⊺⇮1470⋓⊺⇮3849))⩦((⊺⇮2671⪛⫼⊺⇮2150)⇄⊺⇮3846⨸⊺⇮5323))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4325,"operation_count":12,"complexity_ratio":360.4166666666667,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2324,"base":10},"right_expr":{"type":"numeric_atoms","value":1140,"base":10}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3929,"base":10},"right_expr":{"type":"numeric_atoms","value":1271,"base":10}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1470,"base":10},"right_expr":{"type":"numeric_atoms","value":3849,"base":10}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2671,"base":10},"right_expr":{"type":"numeric_atoms","value":2150,"base":10}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3846,"base":10},"right_expr":{"type":"numeric_atoms","value":5323,"base":10}}}}},"used_operators":["9samAPKr6k","aBQ6xLxuTc","61wBmkZwlr","jWTQ2TZYIH","CDi0ktkjQ4","0kmYd0q39Y","ZJpFhNJr3x","T2fj7uvVaJ","3EYGwJThht","hyuBjUqXlG","KmoU8R5UQR"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","7j4O788W3g","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","ruOEQAzv1W","nhYeJWJD5X","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=1140, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-22","layer":2},{"info":"number node, value=3929","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=1271, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-766, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"number node, value=1470","layer":4},{"info":"number node, value=3849","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=3849, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2284","layer":2},{"info":"number node, value=2671","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=2671, right_input=2150, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=3846","layer":4},{"info":"number node, value=5323","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=5323, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7692","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=7692, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2284, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4568","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=4568, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":10,"result_base":10,"text":"(≋(⊺⇮2324≬⇓⊺⇮1140))⇂≾⫗(⩷⨜⫀(⊺⇮3929⨽∌⊺⇮1271))⨽∌((⋠∜(⊺⇮1470⋓⊺⇮3849))⩦((⊺⇮2671⪛⫼⊺⇮2150)⇄⊺⇮3846⨸⊺⇮5323))=⊺⇮0","reverse_text":"⊺⇮0=(≋(⊺⇮2324≬⇓⊺⇮1140))⇂≾⫗(⩷⨜⫀(⊺⇮3929⨽∌⊺⇮1271))⨽∌((⋠∜(⊺⇮1470⋓⊺⇮3849))⩦((⊺⇮2671⪛⫼⊺⇮2150)⇄⊺⇮3846⨸⊺⇮5323))","cot":[{"info":"⊺⇮2324≬⇓⊺⇮1140=⊺⇮-22","layer":3},{"info":"≋⊺⇮-22=⊺⇮-22","layer":2},{"info":"⊺⇮3929⨽∌⊺⇮1271=⊺⇮0","layer":3},{"info":"⩷⨜⫀⊺⇮0=⊺⇮-766","layer":2},{"info":"⊺⇮-22⇂≾⫗⊺⇮-766=⊺⇮-670","layer":1},{"info":"⊺⇮1470⋓⊺⇮3849=⊺⇮0","layer":3},{"info":"⋠∜⊺⇮0=⊺⇮2284","layer":2},{"info":"⊺⇮2671⪛⫼⊺⇮2150=⊺⇮968","layer":3},{"info":"⊺⇮3846⨸⊺⇮5323=⊺⇮7692","layer":3},{"info":"⊺⇮968⇄⊺⇮7692=⊺⇮0","layer":2},{"info":"⊺⇮2284⩦⊺⇮0=⊺⇮4568","layer":1},{"info":"⊺⇮-670⨽∌⊺⇮4568=⊺⇮0","layer":0}]}
{"id":629,"expression_no_base_symbol":"↞≼((≔$1746$)⫃⨇$1274$↹⊜$6229$)≎⪠(($1012$⇴$2388$)⋥⋵⩄($9186$⩼⇪↪$3370$))","expression":"↞≼((≔⊺⇮1746)⫃⨇⊺⇮1274↹⊜⊺⇮6229)≎⪠((⊺⇮1012⇴⊺⇮2388)⋥⋵⩄(⊺⇮9186⩼⇪↪⊺⇮3370))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19250,"operation_count":8,"complexity_ratio":2406.25,"tree":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1746,"base":10}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1274,"base":10},"right_expr":{"type":"numeric_atoms","value":6229,"base":10}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":2388,"base":10}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":9186,"base":10},"right_expr":{"type":"numeric_atoms","value":3370,"base":10}}}}},"used_operators":["DE7zCoGJt9","aNhz54LH3e","09Ly4LVMIf","8FLs4eVsLt","9bazX3JMtO","7t3wd0Fuz7","4JB6nKBMSY","ocnLzx9CaJ"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⊺⇮156050","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1746","layer":4},{"info":"compute unary expreesion, input=1746, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-47594","layer":3},{"info":"number node, value=1274","layer":4},{"info":"number node, value=6229","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=6229, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-22464","layer":3},{"info":"compute binary expreesion, left_input=-47594, right_input=-22464, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=89824","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2388, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=10462","layer":3},{"info":"number node, value=9186","layer":4},{"info":"number node, value=3370","layer":4},{"info":"compute binary expreesion, left_input=9186, right_input=3370, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6001","layer":3},{"info":"compute binary expreesion, left_input=10462, right_input=-6001, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=37542","layer":2},{"info":"compute binary expreesion, left_input=89824, right_input=37542, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute unary expreesion, input=19558, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=156050","layer":0}],"base":10,"result_base":10,"text":"↞≼((≔⊺⇮1746)⫃⨇⊺⇮1274↹⊜⊺⇮6229)≎⪠((⊺⇮1012⇴⊺⇮2388)⋥⋵⩄(⊺⇮9186⩼⇪↪⊺⇮3370))=⊺⇮156050","reverse_text":"⊺⇮156050=↞≼((≔⊺⇮1746)⫃⨇⊺⇮1274↹⊜⊺⇮6229)≎⪠((⊺⇮1012⇴⊺⇮2388)⋥⋵⩄(⊺⇮9186⩼⇪↪⊺⇮3370))","cot":[{"info":"≔⊺⇮1746=⊺⇮-47594","layer":3},{"info":"⊺⇮1274↹⊜⊺⇮6229=⊺⇮-22464","layer":3},{"info":"⊺⇮-47594⫃⨇⊺⇮-22464=⊺⇮89824","layer":2},{"info":"⊺⇮1012⇴⊺⇮2388=⊺⇮10462","layer":3},{"info":"⊺⇮9186⩼⇪↪⊺⇮3370=⊺⇮-6001","layer":3},{"info":"⊺⇮10462⋥⋵⩄⊺⇮-6001=⊺⇮37542","layer":2},{"info":"⊺⇮89824≎⪠⊺⇮37542=⊺⇮19558","layer":1},{"info":"↞≼⊺⇮19558=⊺⇮156050","layer":0}]}
{"id":630,"expression_no_base_symbol":"⊈(≱⇩⩕(≻⋜$2963$)≝⊿($2086$↱$2217$))","expression":"⊈(≱⇩⩕(≻⋜⊺⇮2963)≝⊿(⊺⇮2086↱⊺⇮2217))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":14444,"operation_count":5,"complexity_ratio":2888.8,"tree":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2963,"base":10}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2086,"base":10},"right_expr":{"type":"numeric_atoms","value":2217,"base":10}}}}},"used_operators":["RHru8klgy8","3DZMoQKiUl","OKKcZfAt5B","3tj9sqzovi","SR5kFfdi6N"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","12rbrZMWeM","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2963","layer":4},{"info":"compute unary expreesion, input=2963, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=2086","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=2217, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-6129","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6129, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊈(≱⇩⩕(≻⋜⊺⇮2963)≝⊿(⊺⇮2086↱⊺⇮2217))=NaN","reverse_text":"NaN=⊈(≱⇩⩕(≻⋜⊺⇮2963)≝⊿(⊺⇮2086↱⊺⇮2217))","cot":[{"info":"≻⋜⊺⇮2963=NaN","layer":3},{"info":"⊺⇮2086↱⊺⇮2217=⊺⇮-6129","layer":3},{"info":"NaN≝⊿⊺⇮-6129=NaN","layer":2},{"info":"≱⇩⩕NaN=NaN","layer":1},{"info":"⊈NaN=NaN","layer":0}]}
{"id":631,"expression_no_base_symbol":"(($3841$⪊≅)⨭⪣$1863$⊢$4615$)⪢($1153$⫌⩉⩟$1125$)⊕∕($6533$⩧⪆$2496$)⩒⫫(($3959$⋝⋈⪟$5005$)↓($5689$⪮%⊝$6108$)⫸⊐$1667$≃$2545$∠⫱$4928$⋣⋖$1531$)","expression":"((⊺⇮3841⪊≅)⨭⪣⊺⇮1863⊢⊺⇮4615)⪢(⊺⇮1153⫌⩉⩟⊺⇮1125)⊕∕(⊺⇮6533⩧⪆⊺⇮2496)⩒⫫((⊺⇮3959⋝⋈⪟⊺⇮5005)↓(⊺⇮5689⪮%⊝⊺⇮6108)⫸⊐⊺⇮1667≃⊺⇮2545∠⫱⊺⇮4928⋣⋖⊺⇮1531)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":170638,"operation_count":15,"complexity_ratio":11375.866666666667,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":3841,"base":10}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1863,"base":10},"right_expr":{"type":"numeric_atoms","value":4615,"base":10}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1153,"base":10},"right_expr":{"type":"numeric_atoms","value":1125,"base":10}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6533,"base":10},"right_expr":{"type":"numeric_atoms","value":2496,"base":10}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3959,"base":10},"right_expr":{"type":"numeric_atoms","value":5005,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5689,"base":10},"right_expr":{"type":"numeric_atoms","value":6108,"base":10}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1667,"base":10},"right_expr":{"type":"numeric_atoms","value":2545,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4928,"base":10},"right_expr":{"type":"numeric_atoms","value":1531,"base":10}}}}},"used_operators":["KFSx94NKJn","dWAJyo7jo9","kn8WO9XteQ","bjFbhXSADs","5twsqlHp2o","9cloC0Ngie","XIIwhv8d0m","Ikt5ks8PT7","mqXw5SEYmG","Af076pWI7l","2DDjHMKMc0","IWmyXbctLI","QvoQhV0rrE","YbVcJGFEVW","J0M6qkBnIM"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","k8jYdgA6NY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eewbuw0ToL","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3841","layer":4},{"info":"compute unary expreesion, input=3841, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"number node, value=1863","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=4615, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3970","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3970, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":2},{"info":"number node, value=1153","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1125, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=6533","layer":4},{"info":"number node, value=2496","layer":4},{"info":"compute binary expreesion, left_input=6533, right_input=2496, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2496","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-2496, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=-322, right_input=-50, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3959","layer":4},{"info":"number node, value=5005","layer":4},{"info":"compute binary expreesion, left_input=3959, right_input=5005, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3959","layer":3},{"info":"number node, value=5689","layer":4},{"info":"number node, value=6108","layer":4},{"info":"compute binary expreesion, left_input=5689, right_input=6108, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11694","layer":3},{"info":"compute binary expreesion, left_input=3959, right_input=11694, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=1667","layer":4},{"info":"number node, value=2545","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=2545, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-6708","layer":3},{"info":"number node, value=4928","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=1531, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4928","layer":3},{"info":"compute binary expreesion, left_input=-6708, right_input=4928, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=1234, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=350","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=350, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3841⪊≅)⨭⪣⊺⇮1863⊢⊺⇮4615)⪢(⊺⇮1153⫌⩉⩟⊺⇮1125)⊕∕(⊺⇮6533⩧⪆⊺⇮2496)⩒⫫((⊺⇮3959⋝⋈⪟⊺⇮5005)↓(⊺⇮5689⪮%⊝⊺⇮6108)⫸⊐⊺⇮1667≃⊺⇮2545∠⫱⊺⇮4928⋣⋖⊺⇮1531)=NaN","reverse_text":"NaN=((⊺⇮3841⪊≅)⨭⪣⊺⇮1863⊢⊺⇮4615)⪢(⊺⇮1153⫌⩉⩟⊺⇮1125)⊕∕(⊺⇮6533⩧⪆⊺⇮2496)⩒⫫((⊺⇮3959⋝⋈⪟⊺⇮5005)↓(⊺⇮5689⪮%⊝⊺⇮6108)⫸⊐⊺⇮1667≃⊺⇮2545∠⫱⊺⇮4928⋣⋖⊺⇮1531)","cot":[{"info":"⊺⇮3841⪊≅=⊺⇮0","layer":3},{"info":"⊺⇮1863⊢⊺⇮4615=⊺⇮-3970","layer":3},{"info":"⊺⇮0⨭⪣⊺⇮-3970=⊺⇮-322","layer":2},{"info":"⊺⇮1153⫌⩉⩟⊺⇮1125=⊺⇮-50","layer":3},{"info":"⊺⇮6533⩧⪆⊺⇮2496=⊺⇮-2496","layer":3},{"info":"⊺⇮-50⊕∕⊺⇮-2496=⊺⇮-50","layer":2},{"info":"⊺⇮-322⪢⊺⇮-50=NaN","layer":1},{"info":"⊺⇮3959⋝⋈⪟⊺⇮5005=⊺⇮3959","layer":3},{"info":"⊺⇮5689⪮%⊝⊺⇮6108=⊺⇮11694","layer":3},{"info":"⊺⇮3959↓⊺⇮11694=⊺⇮-134","layer":2},{"info":"⊺⇮1667≃⊺⇮2545=⊺⇮-6708","layer":3},{"info":"⊺⇮4928⋣⋖⊺⇮1531=⊺⇮4928","layer":3},{"info":"⊺⇮-6708∠⫱⊺⇮4928=⊺⇮1234","layer":2},{"info":"⊺⇮-134⫸⊐⊺⇮1234=⊺⇮350","layer":1},{"info":"NaN⩒⫫⊺⇮350=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"(⨛($1376$⊍)⩼⇪↪$3944$⨜⨶$3011$)∝($2096$⋻⩜⩜$3163$-(∑⇻≧$3887$)+$3286$↢$3039$⊋≦⊧($3142$⇮⋭$1296$))","expression":"(⨛(⊺⇮1376⊍)⩼⇪↪⊺⇮3944⨜⨶⊺⇮3011)∝(⊺⇮2096⋻⩜⩜⊺⇮3163-(∑⇻≧⊺⇮3887)+⊺⇮3286↢⊺⇮3039⊋≦⊧(⊺⇮3142⇮⋭⊺⇮1296))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":44477,"operation_count":12,"complexity_ratio":3706.4166666666665,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1376,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3944,"base":10},"right_expr":{"type":"numeric_atoms","value":3011,"base":10}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2096,"base":10},"right_expr":{"type":"numeric_atoms","value":3163,"base":10}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":3887,"base":10}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3286,"base":10},"right_expr":{"type":"numeric_atoms","value":3039,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3142,"base":10},"right_expr":{"type":"numeric_atoms","value":1296,"base":10}}}}},"used_operators":["cTDWOvIxvz","CoMdbyAt7R","ocnLzx9CaJ","3nqY3DE9mg","HiPekx5b7W","W4YGzv6Whe","rysDP5nf3Z","oDCm7WA9JY","l1M9WJ3V7u","oRDoc9rAEX","WR6HLWljOP","vkpjKywKVM"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":4},{"info":"compute unary expreesion, input=1376, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=2448","layer":3},{"info":"number node, value=3944","layer":4},{"info":"number node, value=3011","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=3011, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5766","layer":3},{"info":"compute binary expreesion, left_input=2448, right_input=-5766, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=44475","layer":2},{"info":"compute unary expreesion, input=44475, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=2096","layer":4},{"info":"number node, value=3163","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=3163, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4192","layer":3},{"info":"number node, value=3887","layer":4},{"info":"compute unary expreesion, input=3887, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=4192, right_input=-852, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5044","layer":2},{"info":"number node, value=3286","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=3286, right_input=3039, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2802","layer":3},{"info":"number node, value=3142","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=1296, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-473, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=1186","layer":2},{"info":"compute binary expreesion, left_input=5044, right_input=1186, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6230","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6230, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨛(⊺⇮1376⊍)⩼⇪↪⊺⇮3944⨜⨶⊺⇮3011)∝(⊺⇮2096⋻⩜⩜⊺⇮3163-(∑⇻≧⊺⇮3887)+⊺⇮3286↢⊺⇮3039⊋≦⊧(⊺⇮3142⇮⋭⊺⇮1296))=NaN","reverse_text":"NaN=(⨛(⊺⇮1376⊍)⩼⇪↪⊺⇮3944⨜⨶⊺⇮3011)∝(⊺⇮2096⋻⩜⩜⊺⇮3163-(∑⇻≧⊺⇮3887)+⊺⇮3286↢⊺⇮3039⊋≦⊧(⊺⇮3142⇮⋭⊺⇮1296))","cot":[{"info":"⊺⇮1376⊍=⊺⇮2448","layer":3},{"info":"⊺⇮3944⨜⨶⊺⇮3011=⊺⇮-5766","layer":3},{"info":"⊺⇮2448⩼⇪↪⊺⇮-5766=⊺⇮44475","layer":2},{"info":"⨛⊺⇮44475=NaN","layer":1},{"info":"⊺⇮2096⋻⩜⩜⊺⇮3163=⊺⇮4192","layer":3},{"info":"∑⇻≧⊺⇮3887=⊺⇮-852","layer":3},{"info":"⊺⇮4192-⊺⇮-852=⊺⇮5044","layer":2},{"info":"⊺⇮3286↢⊺⇮3039=⊺⇮2802","layer":3},{"info":"⊺⇮3142⇮⋭⊺⇮1296=⊺⇮-473","layer":3},{"info":"⊺⇮2802⊋≦⊧⊺⇮-473=⊺⇮1186","layer":2},{"info":"⊺⇮5044+⊺⇮1186=⊺⇮6230","layer":1},{"info":"NaN∝⊺⇮6230=NaN","layer":0}]}
{"id":633,"expression_no_base_symbol":"(⨝⨆(⊖$2571$↹⊜$2998$))⊹∫⫚(≛(∂⩏⊆$1743$≥⨤⩑$1794$))","expression":"(⨝⨆(⊖⊺⇮2571↹⊜⊺⇮2998))⊹∫⫚(≛(∂⩏⊆⊺⇮1743≥⨤⩑⊺⇮1794))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":163,"operation_count":7,"complexity_ratio":23.285714285714285,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2571,"base":10},"right_expr":{"type":"numeric_atoms","value":2998,"base":10}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1743,"base":10},"right_expr":{"type":"numeric_atoms","value":1794,"base":10}}}}},"used_operators":["uWAJUKEvyW","bQ67fsrMVf","U6pG0PXrV3","9bazX3JMtO","W7eaUhjymW","8WDwsbhb0R","gJLn6v0xnP"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","tifHPKVTfV","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","14qkJME0vr","eLAdDNolq6","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"⊺⇮-308","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2571","layer":4},{"info":"number node, value=2998","layer":4},{"info":"compute binary expreesion, left_input=2571, right_input=2998, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6946","layer":3},{"info":"compute unary expreesion, input=-6946, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=20838","layer":2},{"info":"compute unary expreesion, input=20838, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=20629","layer":1},{"info":"number node, value=1743","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=1794, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3781","layer":2},{"info":"compute unary expreesion, input=-3781, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-7799","layer":1},{"info":"compute binary expreesion, left_input=20629, right_input=-7799, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-308","layer":0}],"base":10,"result_base":10,"text":"(⨝⨆(⊖⊺⇮2571↹⊜⊺⇮2998))⊹∫⫚(≛(∂⩏⊆⊺⇮1743≥⨤⩑⊺⇮1794))=⊺⇮-308","reverse_text":"⊺⇮-308=(⨝⨆(⊖⊺⇮2571↹⊜⊺⇮2998))⊹∫⫚(≛(∂⩏⊆⊺⇮1743≥⨤⩑⊺⇮1794))","cot":[{"info":"⊺⇮2571↹⊜⊺⇮2998=⊺⇮-6946","layer":3},{"info":"⊖⊺⇮-6946=⊺⇮20838","layer":2},{"info":"⨝⨆⊺⇮20838=⊺⇮20629","layer":1},{"info":"⊺⇮1743≥⨤⩑⊺⇮1794=⊺⇮1234","layer":3},{"info":"∂⩏⊆⊺⇮1234=⊺⇮-3781","layer":2},{"info":"≛⊺⇮-3781=⊺⇮-7799","layer":1},{"info":"⊺⇮20629⊹∫⫚⊺⇮-7799=⊺⇮-308","layer":0}]}
{"id":634,"expression_no_base_symbol":"($3833$⨐$5970$⨸($5160$⫯⪬∳$5806$)⩺⋐⫨)⊕∕(↑($1609$+⪬∐$1584$⫦⪉($7824$%$5299$)))","expression":"(⊺⇮3833⨐⊺⇮5970⨸(⊺⇮5160⫯⪬∳⊺⇮5806)⩺⋐⫨)⊕∕(↑(⊺⇮1609+⪬∐⊺⇮1584⫦⪉(⊺⇮7824%⊺⇮5299)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8435,"operation_count":9,"complexity_ratio":937.2222222222222,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3833,"base":10},"right_expr":{"type":"numeric_atoms","value":5970,"base":10}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":5160,"base":10},"right_expr":{"type":"numeric_atoms","value":5806,"base":10}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1609,"base":10},"right_expr":{"type":"numeric_atoms","value":1584,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7824,"base":10},"right_expr":{"type":"numeric_atoms","value":5299,"base":10}}}}},"used_operators":["9cloC0Ngie","yS9ePUuUdn","KmoU8R5UQR","Noe24qw2ks","d7ASUq0ydm","tR7O2zTn5j","wscyQdcy20","2GS7woTJqF","k8jYdgA6NY"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3833","layer":4},{"info":"number node, value=5970","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=5970, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7666","layer":3},{"info":"number node, value=5160","layer":4},{"info":"number node, value=5806","layer":4},{"info":"compute binary expreesion, left_input=5160, right_input=5806, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=20027","layer":3},{"info":"compute binary expreesion, left_input=-7666, right_input=20027, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2645650","layer":2},{"info":"compute unary expreesion, input=2645650, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"number node, value=1609","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=1584, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4827","layer":3},{"info":"number node, value=7824","layer":4},{"info":"number node, value=5299","layer":4},{"info":"compute binary expreesion, left_input=7824, right_input=5299, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2525","layer":3},{"info":"compute binary expreesion, left_input=-4827, right_input=2525, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=13492","layer":2},{"info":"compute unary expreesion, input=13492, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=192, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3833⨐⊺⇮5970⨸(⊺⇮5160⫯⪬∳⊺⇮5806)⩺⋐⫨)⊕∕(↑(⊺⇮1609+⪬∐⊺⇮1584⫦⪉(⊺⇮7824%⊺⇮5299)))=⊺⇮0","reverse_text":"⊺⇮0=(⊺⇮3833⨐⊺⇮5970⨸(⊺⇮5160⫯⪬∳⊺⇮5806)⩺⋐⫨)⊕∕(↑(⊺⇮1609+⪬∐⊺⇮1584⫦⪉(⊺⇮7824%⊺⇮5299)))","cot":[{"info":"⊺⇮3833⨐⊺⇮5970=⊺⇮-7666","layer":3},{"info":"⊺⇮5160⫯⪬∳⊺⇮5806=⊺⇮20027","layer":3},{"info":"⊺⇮-7666⨸⊺⇮20027=⊺⇮2645650","layer":2},{"info":"⊺⇮2645650⩺⋐⫨=⊺⇮0","layer":1},{"info":"⊺⇮1609+⪬∐⊺⇮1584=⊺⇮-4827","layer":3},{"info":"⊺⇮7824%⊺⇮5299=⊺⇮2525","layer":3},{"info":"⊺⇮-4827⫦⪉⊺⇮2525=⊺⇮13492","layer":2},{"info":"↑⊺⇮13492=⊺⇮192","layer":1},{"info":"⊺⇮0⊕∕⊺⇮192=⊺⇮0","layer":0}]}
{"id":635,"expression_no_base_symbol":"((($9064$⋖∅⋲)⊿∆)⪚⩙≫)⇣⩺⋵(($2707$≭$1280$)≄⊠$1073$⨑⩅≇$5575$⨐⩸⫘($1283$⊭↱$2555$)∝$1388$∺≝⩲$1174$)","expression":"(((⊺⇮9064⋖∅⋲)⊿∆)⪚⩙≫)⇣⩺⋵((⊺⇮2707≭⊺⇮1280)≄⊠⊺⇮1073⨑⩅≇⊺⇮5575⨐⩸⫘(⊺⇮1283⊭↱⊺⇮2555)∝⊺⇮1388∺≝⩲⊺⇮1174)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5975,"operation_count":11,"complexity_ratio":543.1818181818181,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":9064,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2707,"base":10},"right_expr":{"type":"numeric_atoms","value":1280,"base":10}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1073,"base":10},"right_expr":{"type":"numeric_atoms","value":5575,"base":10}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1283,"base":10},"right_expr":{"type":"numeric_atoms","value":2555,"base":10}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1388,"base":10},"right_expr":{"type":"numeric_atoms","value":1174,"base":10}}}}},"used_operators":["F4yD0voBRQ","4n53wtyJvv","fv3ZujxkQL","L95AwlJzhO","fu6greOZ01","vXNesLlMH1","rxpJgHHUmx","h92wMvzauj","cTDWOvIxvz","COABgblf1C","KPf6cnQVty"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","NTOWxs364D","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","3ViojmjbAp","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","AHs5Up7iyr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⊺⇮-260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9064","layer":4},{"info":"compute unary expreesion, input=9064, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute unary expreesion, input=-384231, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=768341","layer":2},{"info":"compute unary expreesion, input=768341, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"number node, value=2707","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=2707, right_input=1280, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=5575","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=5575, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3219","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3219, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=1283","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=2555, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2549","layer":3},{"info":"number node, value=1388","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=1174, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2549, right_input=160, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2554","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=2554, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮9064⋖∅⋲)⊿∆)⪚⩙≫)⇣⩺⋵((⊺⇮2707≭⊺⇮1280)≄⊠⊺⇮1073⨑⩅≇⊺⇮5575⨐⩸⫘(⊺⇮1283⊭↱⊺⇮2555)∝⊺⇮1388∺≝⩲⊺⇮1174)=⊺⇮-260","reverse_text":"⊺⇮-260=(((⊺⇮9064⋖∅⋲)⊿∆)⪚⩙≫)⇣⩺⋵((⊺⇮2707≭⊺⇮1280)≄⊠⊺⇮1073⨑⩅≇⊺⇮5575⨐⩸⫘(⊺⇮1283⊭↱⊺⇮2555)∝⊺⇮1388∺≝⩲⊺⇮1174)","cot":[{"info":"⊺⇮9064⋖∅⋲=⊺⇮-384231","layer":3},{"info":"⊺⇮-384231⊿∆=⊺⇮768341","layer":2},{"info":"⊺⇮768341⪚⩙≫=NaN","layer":1},{"info":"⊺⇮2707≭⊺⇮1280=NaN","layer":3},{"info":"⊺⇮1073⨑⩅≇⊺⇮5575=⊺⇮-3219","layer":3},{"info":"NaN≄⊠⊺⇮-3219=⊺⇮1500","layer":2},{"info":"⊺⇮1283⊭↱⊺⇮2555=⊺⇮2549","layer":3},{"info":"⊺⇮1388∺≝⩲⊺⇮1174=⊺⇮160","layer":3},{"info":"⊺⇮2549∝⊺⇮160=⊺⇮2554","layer":2},{"info":"⊺⇮1500⨐⩸⫘⊺⇮2554=NaN","layer":1},{"info":"NaN⇣⩺⋵NaN=⊺⇮-260","layer":0}]}
{"id":636,"expression_no_base_symbol":"(⋼∭⪍(($3184$-$1004$)⨕⋳))↙(($5544$⨰$5126$)⪢(∓$5502$))⫉⨲⊜($2061$⩼⇪↪$1109$)↳≱($2287$≳⇉$8530$)","expression":"(⋼∭⪍((⊺⇮3184-⊺⇮1004)⨕⋳))↙((⊺⇮5544⨰⊺⇮5126)⪢(∓⊺⇮5502))⫉⨲⊜(⊺⇮2061⩼⇪↪⊺⇮1109)↳≱(⊺⇮2287≳⇉⊺⇮8530)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":104739,"operation_count":11,"complexity_ratio":9521.727272727272,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3184,"base":10},"right_expr":{"type":"numeric_atoms","value":1004,"base":10}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5544,"base":10},"right_expr":{"type":"numeric_atoms","value":5126,"base":10}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":5502,"base":10}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2061,"base":10},"right_expr":{"type":"numeric_atoms","value":1109,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2287,"base":10},"right_expr":{"type":"numeric_atoms","value":8530,"base":10}}}}},"used_operators":["yyfyN0ffXY","DbCuESL50I","4X4GscPmMf","rysDP5nf3Z","WhqkvtTD3t","dWAJyo7jo9","eewbuw0ToL","OwUj7dcsQK","JwTKLfZU96","ocnLzx9CaJ","V0kx6qeWkN"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","eewbuw0ToL","zVYPLywUTj","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⊺⇮-444132","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3184","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=3184, right_input=1004, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2180","layer":3},{"info":"compute unary expreesion, input=2180, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=111468","layer":2},{"info":"compute unary expreesion, input=111468, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-444132","layer":1},{"info":"number node, value=5544","layer":4},{"info":"number node, value=5126","layer":4},{"info":"compute binary expreesion, left_input=5544, right_input=5126, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=428","layer":3},{"info":"number node, value=5502","layer":4},{"info":"compute unary expreesion, input=5502, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-87402","layer":3},{"info":"compute binary expreesion, left_input=428, right_input=-87402, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2061","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=1109, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-4424","layer":3},{"info":"number node, value=2287","layer":4},{"info":"number node, value=8530","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=8530, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4424, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-110","layer":1},{"info":"compute binary expreesion, left_input=-444132, right_input=-110, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-444132","layer":0}],"base":10,"result_base":10,"text":"(⋼∭⪍((⊺⇮3184-⊺⇮1004)⨕⋳))↙((⊺⇮5544⨰⊺⇮5126)⪢(∓⊺⇮5502))⫉⨲⊜(⊺⇮2061⩼⇪↪⊺⇮1109)↳≱(⊺⇮2287≳⇉⊺⇮8530)=⊺⇮-444132","reverse_text":"⊺⇮-444132=(⋼∭⪍((⊺⇮3184-⊺⇮1004)⨕⋳))↙((⊺⇮5544⨰⊺⇮5126)⪢(∓⊺⇮5502))⫉⨲⊜(⊺⇮2061⩼⇪↪⊺⇮1109)↳≱(⊺⇮2287≳⇉⊺⇮8530)","cot":[{"info":"⊺⇮3184-⊺⇮1004=⊺⇮2180","layer":3},{"info":"⊺⇮2180⨕⋳=⊺⇮111468","layer":2},{"info":"⋼∭⪍⊺⇮111468=⊺⇮-444132","layer":1},{"info":"⊺⇮5544⨰⊺⇮5126=⊺⇮428","layer":3},{"info":"∓⊺⇮5502=⊺⇮-87402","layer":3},{"info":"⊺⇮428⪢⊺⇮-87402=NaN","layer":2},{"info":"⊺⇮2061⩼⇪↪⊺⇮1109=⊺⇮-4424","layer":3},{"info":"⊺⇮2287≳⇉⊺⇮8530=NaN","layer":3},{"info":"⊺⇮-4424↳≱NaN=⊺⇮0","layer":2},{"info":"NaN⫉⨲⊜⊺⇮0=⊺⇮-110","layer":1},{"info":"⊺⇮-444132↙⊺⇮-110=⊺⇮-444132","layer":0}]}
{"id":637,"expression_no_base_symbol":"(($1644$⨂≜$2013$∲⫓$1596$⪔$6513$)⩱)≝⊿((↥≼⋛$5810$)↙$1116$⩁⩘$5100$⊓⋫)","expression":"((⊺⇮1644⨂≜⊺⇮2013∲⫓⊺⇮1596⪔⊺⇮6513)⩱)≝⊿((↥≼⋛⊺⇮5810)↙⊺⇮1116⩁⩘⊺⇮5100⊓⋫)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8376,"operation_count":9,"complexity_ratio":930.6666666666666,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1644,"base":10},"right_expr":{"type":"numeric_atoms","value":2013,"base":10}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1596,"base":10},"right_expr":{"type":"numeric_atoms","value":6513,"base":10}}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":5810,"base":10}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1116,"base":10},"right_expr":{"type":"numeric_atoms","value":5100,"base":10}}}}},"used_operators":["OKKcZfAt5B","uyq1hVkAcj","i8ToyICDmI","k1SHOSEABc","GjBEYRfMaF","IqGBaFP0uj","yyfyN0ffXY","x5lMkHmzsq","gub5Cegaqo"],"dependent_operators":["12rbrZMWeM","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1644","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=2013, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1596","layer":4},{"info":"number node, value=6513","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=6513, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":1},{"info":"number node, value=5810","layer":4},{"info":"compute unary expreesion, input=5810, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=1116","layer":4},{"info":"number node, value=5100","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=5100, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=21348","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=21348, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-113","layer":2},{"info":"compute unary expreesion, input=-113, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-15","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1644⨂≜⊺⇮2013∲⫓⊺⇮1596⪔⊺⇮6513)⩱)≝⊿((↥≼⋛⊺⇮5810)↙⊺⇮1116⩁⩘⊺⇮5100⊓⋫)=NaN","reverse_text":"NaN=((⊺⇮1644⨂≜⊺⇮2013∲⫓⊺⇮1596⪔⊺⇮6513)⩱)≝⊿((↥≼⋛⊺⇮5810)↙⊺⇮1116⩁⩘⊺⇮5100⊓⋫)","cot":[{"info":"⊺⇮1644⨂≜⊺⇮2013=NaN","layer":3},{"info":"⊺⇮1596⪔⊺⇮6513=⊺⇮450","layer":3},{"info":"NaN∲⫓⊺⇮450=NaN","layer":2},{"info":"NaN⩱=NaN","layer":1},{"info":"↥≼⋛⊺⇮5810=⊺⇮-113","layer":3},{"info":"⊺⇮1116⩁⩘⊺⇮5100=⊺⇮21348","layer":3},{"info":"⊺⇮-113↙⊺⇮21348=⊺⇮-113","layer":2},{"info":"⊺⇮-113⊓⋫=⊺⇮-15","layer":1},{"info":"NaN≝⊿⊺⇮-15=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"($4857$↬$1046$⨔≚≋$5891$⩇∃⫛$1063$)≁↽≥(($2603$∥⊢⊲$3174$)⪗)⫽⇹≛","expression":"(⊺⇮4857↬⊺⇮1046⨔≚≋⊺⇮5891⩇∃⫛⊺⇮1063)≁↽≥((⊺⇮2603∥⊢⊲⊺⇮3174)⪗)⫽⇹≛","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":110,"operation_count":7,"complexity_ratio":15.714285714285714,"tree":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4857,"base":10},"right_expr":{"type":"numeric_atoms","value":1046,"base":10}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":5891,"base":10},"right_expr":{"type":"numeric_atoms","value":1063,"base":10}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2603,"base":10},"right_expr":{"type":"numeric_atoms","value":3174,"base":10}}}}},"used_operators":["NNaDxxp6OQ","ncHt1X6cMc","Z57zeUYC9z","B5M0gjZbta","1aApVXNlOP","VEQNXA0ZBg","v1UQAVDJRr"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","oWn0xqSxBt","3Oe9XWJUTD","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4857","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=4857, right_input=1046, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5891","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=5891, right_input=1063, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-4355","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4355, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=2603","layer":4},{"info":"number node, value=3174","layer":4},{"info":"compute binary expreesion, left_input=2603, right_input=3174, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4857↬⊺⇮1046⨔≚≋⊺⇮5891⩇∃⫛⊺⇮1063)≁↽≥((⊺⇮2603∥⊢⊲⊺⇮3174)⪗)⫽⇹≛=NaN","reverse_text":"NaN=(⊺⇮4857↬⊺⇮1046⨔≚≋⊺⇮5891⩇∃⫛⊺⇮1063)≁↽≥((⊺⇮2603∥⊢⊲⊺⇮3174)⪗)⫽⇹≛","cot":[{"info":"⊺⇮4857↬⊺⇮1046=NaN","layer":3},{"info":"⊺⇮5891⩇∃⫛⊺⇮1063=⊺⇮-4355","layer":3},{"info":"NaN⨔≚≋⊺⇮-4355=NaN","layer":2},{"info":"⊺⇮2603∥⊢⊲⊺⇮3174=NaN","layer":3},{"info":"NaN⪗=NaN","layer":2},{"info":"NaN≁↽≥NaN=NaN","layer":1},{"info":"NaN⫽⇹≛=NaN","layer":0}]}
{"id":639,"expression_no_base_symbol":"(⇠($7250$⨑≵⋬$2022$)→⨶⪴$4982$≝⊿$2181$)⫰⋱(($1109$≄⊠$1194$)⨿($4028$⫚↹⊑$3819$)⇼⇔∾(≅≯⇸$4355$⪒⊣⊆$1205$))","expression":"(⇠(⊺⇮7250⨑≵⋬⊺⇮2022)→⨶⪴⊺⇮4982≝⊿⊺⇮2181)⫰⋱((⊺⇮1109≄⊠⊺⇮1194)⨿(⊺⇮4028⫚↹⊑⊺⇮3819)⇼⇔∾(≅≯⇸⊺⇮4355⪒⊣⊆⊺⇮1205))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":366,"operation_count":11,"complexity_ratio":33.27272727272727,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":7250,"base":10},"right_expr":{"type":"numeric_atoms","value":2022,"base":10}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4982,"base":10},"right_expr":{"type":"numeric_atoms","value":2181,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1109,"base":10},"right_expr":{"type":"numeric_atoms","value":1194,"base":10}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4028,"base":10},"right_expr":{"type":"numeric_atoms","value":3819,"base":10}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4355,"base":10},"right_expr":{"type":"numeric_atoms","value":1205,"base":10}}}}},"used_operators":["6o9Blt3TJ6","18saOjeKKm","bF6eod5Gvf","XnXgA4xnOs","OKKcZfAt5B","tifHPKVTfV","abYXlopdE0","vXNesLlMH1","dfKe02y8D2","apS25hmuAe","eRqsBgTDFp"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","8w2t5hMYqp","9FxExcQeMw","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","EBcxylXtPf","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe"],"result":"⊺⇮66463","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7250","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=7250, right_input=2022, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=23475","layer":3},{"info":"number node, value=4982","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=4982, right_input=2181, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9877","layer":3},{"info":"compute binary expreesion, left_input=23475, right_input=-9877, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=66672","layer":2},{"info":"compute unary expreesion, input=66672, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-66430","layer":1},{"info":"number node, value=1109","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1194, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=23772","layer":3},{"info":"number node, value=4028","layer":4},{"info":"number node, value=3819","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=3819, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=23772, right_input=-447, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=4355","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=1205, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8710","layer":3},{"info":"compute unary expreesion, input=8710, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=42517","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=42517, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=42836","layer":1},{"info":"compute binary expreesion, left_input=-66430, right_input=42836, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=66463","layer":0}],"base":10,"result_base":10,"text":"(⇠(⊺⇮7250⨑≵⋬⊺⇮2022)→⨶⪴⊺⇮4982≝⊿⊺⇮2181)⫰⋱((⊺⇮1109≄⊠⊺⇮1194)⨿(⊺⇮4028⫚↹⊑⊺⇮3819)⇼⇔∾(≅≯⇸⊺⇮4355⪒⊣⊆⊺⇮1205))=⊺⇮66463","reverse_text":"⊺⇮66463=(⇠(⊺⇮7250⨑≵⋬⊺⇮2022)→⨶⪴⊺⇮4982≝⊿⊺⇮2181)⫰⋱((⊺⇮1109≄⊠⊺⇮1194)⨿(⊺⇮4028⫚↹⊑⊺⇮3819)⇼⇔∾(≅≯⇸⊺⇮4355⪒⊣⊆⊺⇮1205))","cot":[{"info":"⊺⇮7250⨑≵⋬⊺⇮2022=⊺⇮23475","layer":3},{"info":"⊺⇮4982≝⊿⊺⇮2181=⊺⇮-9877","layer":3},{"info":"⊺⇮23475→⨶⪴⊺⇮-9877=⊺⇮66672","layer":2},{"info":"⇠⊺⇮66672=⊺⇮-66430","layer":1},{"info":"⊺⇮1109≄⊠⊺⇮1194=⊺⇮23772","layer":3},{"info":"⊺⇮4028⫚↹⊑⊺⇮3819=⊺⇮-447","layer":3},{"info":"⊺⇮23772⨿⊺⇮-447=⊺⇮-319","layer":2},{"info":"⊺⇮4355⪒⊣⊆⊺⇮1205=⊺⇮8710","layer":3},{"info":"≅≯⇸⊺⇮8710=⊺⇮42517","layer":2},{"info":"⊺⇮-319⇼⇔∾⊺⇮42517=⊺⇮42836","layer":1},{"info":"⊺⇮-66430⫰⋱⊺⇮42836=⊺⇮66463","layer":0}]}
{"id":640,"expression_no_base_symbol":"(∤(⇜⊴$2714$)⇼⇔∾$3117$⫉⨲⊜$1244$)⨭⪣(≦∁($3787$↓$3568$⊓⋫))","expression":"(∤(⇜⊴⊺⇮2714)⇼⇔∾⊺⇮3117⫉⨲⊜⊺⇮1244)⨭⪣(≦∁(⊺⇮3787↓⊺⇮3568⊓⋫))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":50462,"operation_count":8,"complexity_ratio":6307.75,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2714,"base":10}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3117,"base":10},"right_expr":{"type":"numeric_atoms","value":1244,"base":10}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3787,"base":10},"right_expr":{"type":"numeric_atoms","value":3568,"base":10}}}}},"used_operators":["kn8WO9XteQ","k2HlF1dBQh","tifHPKVTfV","XwDhCwWbUn","WhqkvtTD3t","9ICcGScMcE","IqGBaFP0uj","Af076pWI7l"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","eewbuw0ToL","zVYPLywUTj","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⊺⇮-331","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2714","layer":4},{"info":"compute unary expreesion, input=2714, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-626790","layer":3},{"info":"number node, value=3117","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=3117, right_input=1244, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-626790, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=626790","layer":2},{"info":"compute unary expreesion, input=626790, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=3787","layer":4},{"info":"number node, value=3568","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=3568, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=6","layer":2},{"info":"compute unary expreesion, input=6, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-392","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=-392, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-331","layer":0}],"base":10,"result_base":10,"text":"(∤(⇜⊴⊺⇮2714)⇼⇔∾⊺⇮3117⫉⨲⊜⊺⇮1244)⨭⪣(≦∁(⊺⇮3787↓⊺⇮3568⊓⋫))=⊺⇮-331","reverse_text":"⊺⇮-331=(∤(⇜⊴⊺⇮2714)⇼⇔∾⊺⇮3117⫉⨲⊜⊺⇮1244)⨭⪣(≦∁(⊺⇮3787↓⊺⇮3568⊓⋫))","cot":[{"info":"⇜⊴⊺⇮2714=⊺⇮-626790","layer":3},{"info":"⊺⇮3117⫉⨲⊜⊺⇮1244=⊺⇮0","layer":3},{"info":"⊺⇮-626790⇼⇔∾⊺⇮0=⊺⇮626790","layer":2},{"info":"∤⊺⇮626790=⊺⇮9","layer":1},{"info":"⊺⇮3787↓⊺⇮3568=⊺⇮-134","layer":3},{"info":"⊺⇮-134⊓⋫=⊺⇮6","layer":2},{"info":"≦∁⊺⇮6=⊺⇮-392","layer":1},{"info":"⊺⇮9⨭⪣⊺⇮-392=⊺⇮-331","layer":0}]}
{"id":641,"expression_no_base_symbol":"⪝⪂⫅((↘$6210$)∋($2504$≃$7224$))⨸(($4066$⨶)⫸⊐$1069$≁↽≥$5155$)","expression":"⪝⪂⫅((↘⊺⇮6210)∋(⊺⇮2504≃⊺⇮7224))⨸((⊺⇮4066⨶)⫸⊐⊺⇮1069≁↽≥⊺⇮5155)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":56411,"operation_count":8,"complexity_ratio":7051.375,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":6210,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2504,"base":10},"right_expr":{"type":"numeric_atoms","value":7224,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":4066,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1069,"base":10},"right_expr":{"type":"numeric_atoms","value":5155,"base":10}}}}},"used_operators":["XTarYq4gQB","KmoU8R5UQR","ukq6epAj5P","LdNpr8hQHL","YbVcJGFEVW","mqXw5SEYmG","rFxw8gIMmB","ncHt1X6cMc"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","uFcxV4UQCh","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","f6k1SAg4EE","Qy55tPpLXF","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⊺⇮-1682954490","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6210","layer":4},{"info":"compute unary expreesion, input=6210, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=330","layer":3},{"info":"number node, value=2504","layer":4},{"info":"number node, value=7224","layer":4},{"info":"compute binary expreesion, left_input=2504, right_input=7224, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-10056","layer":3},{"info":"compute binary expreesion, left_input=330, right_input=-10056, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-55944","layer":2},{"info":"number node, value=4066","layer":4},{"info":"compute unary expreesion, input=4066, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=6386","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=5155","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=5155, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25967","layer":3},{"info":"compute binary expreesion, left_input=6386, right_input=25967, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=103743","layer":2},{"info":"compute binary expreesion, left_input=-55944, right_input=103743, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=11448670","layer":1},{"info":"compute unary expreesion, input=11448670, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1682954490","layer":0}],"base":10,"result_base":10,"text":"⪝⪂⫅((↘⊺⇮6210)∋(⊺⇮2504≃⊺⇮7224))⨸((⊺⇮4066⨶)⫸⊐⊺⇮1069≁↽≥⊺⇮5155)=⊺⇮-1682954490","reverse_text":"⊺⇮-1682954490=⪝⪂⫅((↘⊺⇮6210)∋(⊺⇮2504≃⊺⇮7224))⨸((⊺⇮4066⨶)⫸⊐⊺⇮1069≁↽≥⊺⇮5155)","cot":[{"info":"↘⊺⇮6210=⊺⇮330","layer":3},{"info":"⊺⇮2504≃⊺⇮7224=⊺⇮-10056","layer":3},{"info":"⊺⇮330∋⊺⇮-10056=⊺⇮-55944","layer":2},{"info":"⊺⇮4066⨶=⊺⇮6386","layer":3},{"info":"⊺⇮1069≁↽≥⊺⇮5155=⊺⇮25967","layer":3},{"info":"⊺⇮6386⫸⊐⊺⇮25967=⊺⇮103743","layer":2},{"info":"⊺⇮-55944⨸⊺⇮103743=⊺⇮11448670","layer":1},{"info":"⪝⪂⫅⊺⇮11448670=⊺⇮-1682954490","layer":0}]}
{"id":642,"expression_no_base_symbol":"(((↣≠⋷$2045$)⪁$6965$⩍⋽⫝̸$8807$)≭($5908$≥⨤⩑$1282$)∼(≛$5981$))∴($5860$⋝⋈⪟$6260$⫚↹⊑$1915$↳≱$1293$⪨≂(⩷($1915$⋭≵$3773$)))","expression":"(((↣≠⋷⊺⇮2045)⪁⊺⇮6965⩍⋽⫝̸⊺⇮8807)≭(⊺⇮5908≥⨤⩑⊺⇮1282)∼(≛⊺⇮5981))∴(⊺⇮5860⋝⋈⪟⊺⇮6260⫚↹⊑⊺⇮1915↳≱⊺⇮1293⪨≂(⩷(⊺⇮1915⋭≵⊺⇮3773)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8213,"operation_count":14,"complexity_ratio":586.6428571428571,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2045,"base":10}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":6965,"base":10},"right_expr":{"type":"numeric_atoms","value":8807,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5908,"base":10},"right_expr":{"type":"numeric_atoms","value":1282,"base":10}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":5981,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5860,"base":10},"right_expr":{"type":"numeric_atoms","value":6260,"base":10}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1915,"base":10},"right_expr":{"type":"numeric_atoms","value":1293,"base":10}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1915,"base":10},"right_expr":{"type":"numeric_atoms","value":3773,"base":10}}}}},"used_operators":["hrf7POJlIJ","rxpJgHHUmx","I7sXao9hZE","Asc51vEJeQ","BiWNJpBvwn","DyGG3AbaNP","gJLn6v0xnP","W7eaUhjymW","sdazOOVcIp","dfKe02y8D2","2DDjHMKMc0","JwTKLfZU96","1h0rLqGiFr","jBncVCNhdl"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","XhwjNDsVaA","AHs5Up7iyr","Ph9nP6C5qx","xUOZtlo3hN","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⊺⇮1604","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2045","layer":4},{"info":"compute unary expreesion, input=2045, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6965","layer":4},{"info":"number node, value=8807","layer":4},{"info":"compute binary expreesion, left_input=6965, right_input=8807, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7861","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7861, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=5908","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=5908, right_input=1282, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=5981","layer":4},{"info":"compute unary expreesion, input=5981, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-10, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"number node, value=5860","layer":4},{"info":"number node, value=6260","layer":4},{"info":"compute binary expreesion, left_input=5860, right_input=6260, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5860","layer":3},{"info":"number node, value=1915","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=1293, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5860, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1915","layer":4},{"info":"number node, value=3773","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=3773, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-883","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-883, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=974","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=974, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1604","layer":0}],"base":10,"result_base":10,"text":"(((↣≠⋷⊺⇮2045)⪁⊺⇮6965⩍⋽⫝̸⊺⇮8807)≭(⊺⇮5908≥⨤⩑⊺⇮1282)∼(≛⊺⇮5981))∴(⊺⇮5860⋝⋈⪟⊺⇮6260⫚↹⊑⊺⇮1915↳≱⊺⇮1293⪨≂(⩷(⊺⇮1915⋭≵⊺⇮3773)))=⊺⇮1604","reverse_text":"⊺⇮1604=(((↣≠⋷⊺⇮2045)⪁⊺⇮6965⩍⋽⫝̸⊺⇮8807)≭(⊺⇮5908≥⨤⩑⊺⇮1282)∼(≛⊺⇮5981))∴(⊺⇮5860⋝⋈⪟⊺⇮6260⫚↹⊑⊺⇮1915↳≱⊺⇮1293⪨≂(⩷(⊺⇮1915⋭≵⊺⇮3773)))","cot":[{"info":"↣≠⋷⊺⇮2045=NaN","layer":3},{"info":"⊺⇮6965⩍⋽⫝̸⊺⇮8807=⊺⇮7861","layer":3},{"info":"NaN⪁⊺⇮7861=NaN","layer":2},{"info":"⊺⇮5908≥⨤⩑⊺⇮1282=⊺⇮1234","layer":3},{"info":"≛⊺⇮5981=⊺⇮-10","layer":3},{"info":"⊺⇮1234∼⊺⇮-10=⊺⇮0","layer":2},{"info":"NaN≭⊺⇮0=⊺⇮-22","layer":1},{"info":"⊺⇮5860⋝⋈⪟⊺⇮6260=⊺⇮5860","layer":3},{"info":"⊺⇮1915↳≱⊺⇮1293=⊺⇮0","layer":3},{"info":"⊺⇮5860⫚↹⊑⊺⇮0=⊺⇮-447","layer":2},{"info":"⊺⇮1915⋭≵⊺⇮3773=⊺⇮67","layer":3},{"info":"⩷⊺⇮67=⊺⇮-883","layer":2},{"info":"⊺⇮-447⪨≂⊺⇮-883=⊺⇮974","layer":1},{"info":"⊺⇮-22∴⊺⇮974=⊺⇮1604","layer":0}]}
{"id":643,"expression_no_base_symbol":"⋼∭⪍((($2511$∙∹∝$2383$)≥⨤⩑$1109$⨟⋌⩍$1338$)⨚⇆($2012$⪶≀⋏$3582$⫡⨏$1313$∑⇟⊟$7682$))","expression":"⋼∭⪍(((⊺⇮2511∙∹∝⊺⇮2383)≥⨤⩑⊺⇮1109⨟⋌⩍⊺⇮1338)⨚⇆(⊺⇮2012⪶≀⋏⊺⇮3582⫡⨏⊺⇮1313∑⇟⊟⊺⇮7682))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":241,"operation_count":8,"complexity_ratio":30.125,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2511,"base":10},"right_expr":{"type":"numeric_atoms","value":2383,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1109,"base":10},"right_expr":{"type":"numeric_atoms","value":1338,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2012,"base":10},"right_expr":{"type":"numeric_atoms","value":3582,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1313,"base":10},"right_expr":{"type":"numeric_atoms","value":7682,"base":10}}}}},"used_operators":["DbCuESL50I","lwHaAYXP2r","gJLn6v0xnP","HmxsFra2vL","rGHVDoGpnC","QMFrweE19q","zR4jO40bMj","U7g4x0WXJJ"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"-Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2511","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=2383, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1338, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=2012","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=3582, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-13432","layer":3},{"info":"number node, value=1313","layer":4},{"info":"number node, value=7682","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=7682, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13432, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-inf","layer":0}],"base":10,"result_base":10,"text":"⋼∭⪍(((⊺⇮2511∙∹∝⊺⇮2383)≥⨤⩑⊺⇮1109⨟⋌⩍⊺⇮1338)⨚⇆(⊺⇮2012⪶≀⋏⊺⇮3582⫡⨏⊺⇮1313∑⇟⊟⊺⇮7682))=-Inf","reverse_text":"-Inf=⋼∭⪍(((⊺⇮2511∙∹∝⊺⇮2383)≥⨤⩑⊺⇮1109⨟⋌⩍⊺⇮1338)⨚⇆(⊺⇮2012⪶≀⋏⊺⇮3582⫡⨏⊺⇮1313∑⇟⊟⊺⇮7682))","cot":[{"info":"⊺⇮2511∙∹∝⊺⇮2383=⊺⇮0","layer":3},{"info":"⊺⇮1109⨟⋌⩍⊺⇮1338=NaN","layer":3},{"info":"⊺⇮0≥⨤⩑NaN=⊺⇮1234","layer":2},{"info":"⊺⇮2012⪶≀⋏⊺⇮3582=⊺⇮-13432","layer":3},{"info":"⊺⇮1313∑⇟⊟⊺⇮7682=NaN","layer":3},{"info":"⊺⇮-13432⫡⨏NaN=NaN","layer":2},{"info":"⊺⇮1234⨚⇆NaN=-Inf","layer":1},{"info":"⋼∭⪍-Inf=-Inf","layer":0}]}
{"id":644,"expression_no_base_symbol":"(($1175$∠↢$1445$)⨂≜($5042$⊱⇼⊻$4195$)≧⫂∧(($5270$∙∹∝$3919$)⋥≓≎(⪭⩑⪱$1874$)))≦↸(($1335$∛$2495$)⩣⫁∢($1901$⫉⨲⊜$8440$))↞⋁($4166$⨿$1469$≄⊠(⨵$2238$))","expression":"((⊺⇮1175∠↢⊺⇮1445)⨂≜(⊺⇮5042⊱⇼⊻⊺⇮4195)≧⫂∧((⊺⇮5270∙∹∝⊺⇮3919)⋥≓≎(⪭⩑⪱⊺⇮1874)))≦↸((⊺⇮1335∛⊺⇮2495)⩣⫁∢(⊺⇮1901⫉⨲⊜⊺⇮8440))↞⋁(⊺⇮4166⨿⊺⇮1469≄⊠(⨵⊺⇮2238))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":335554,"operation_count":15,"complexity_ratio":22370.266666666666,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1175,"base":10},"right_expr":{"type":"numeric_atoms","value":1445,"base":10}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5042,"base":10},"right_expr":{"type":"numeric_atoms","value":4195,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5270,"base":10},"right_expr":{"type":"numeric_atoms","value":3919,"base":10}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1874,"base":10}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1335,"base":10},"right_expr":{"type":"numeric_atoms","value":2495,"base":10}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1901,"base":10},"right_expr":{"type":"numeric_atoms","value":8440,"base":10}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4166,"base":10},"right_expr":{"type":"numeric_atoms","value":1469,"base":10}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2238,"base":10}}}}},"used_operators":["RygbFNSyEJ","Ph9nP6C5qx","k1SHOSEABc","KbjG8mgYpV","FyVja0WsTP","Qy55tPpLXF","HmxsFra2vL","SIgE0bArFf","RqrPlJkxDo","JDUIKTTSIa","w2537kitQq","WhqkvtTD3t","vXNesLlMH1","abYXlopdE0","Tl3Y52tvF8"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eewbuw0ToL","zVYPLywUTj","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=1445, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-23848","layer":3},{"info":"number node, value=5042","layer":4},{"info":"number node, value=4195","layer":4},{"info":"compute binary expreesion, left_input=5042, right_input=4195, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-23848, right_input=434, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=5270","layer":4},{"info":"number node, value=3919","layer":4},{"info":"compute binary expreesion, left_input=5270, right_input=3919, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1874","layer":4},{"info":"compute unary expreesion, input=1874, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8320752, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=16641537","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16641537, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=16641064","layer":1},{"info":"number node, value=1335","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=2495, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1901","layer":4},{"info":"number node, value=8440","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=8440, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=3245","layer":2},{"info":"number node, value=4166","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=4166, right_input=1469, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=2238","layer":4},{"info":"compute unary expreesion, input=2238, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-19113","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-19113, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=3245, right_input=1500, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=16641064, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1175∠↢⊺⇮1445)⨂≜(⊺⇮5042⊱⇼⊻⊺⇮4195)≧⫂∧((⊺⇮5270∙∹∝⊺⇮3919)⋥≓≎(⪭⩑⪱⊺⇮1874)))≦↸((⊺⇮1335∛⊺⇮2495)⩣⫁∢(⊺⇮1901⫉⨲⊜⊺⇮8440))↞⋁(⊺⇮4166⨿⊺⇮1469≄⊠(⨵⊺⇮2238))=NaN","reverse_text":"NaN=((⊺⇮1175∠↢⊺⇮1445)⨂≜(⊺⇮5042⊱⇼⊻⊺⇮4195)≧⫂∧((⊺⇮5270∙∹∝⊺⇮3919)⋥≓≎(⪭⩑⪱⊺⇮1874)))≦↸((⊺⇮1335∛⊺⇮2495)⩣⫁∢(⊺⇮1901⫉⨲⊜⊺⇮8440))↞⋁(⊺⇮4166⨿⊺⇮1469≄⊠(⨵⊺⇮2238))","cot":[{"info":"⊺⇮1175∠↢⊺⇮1445=⊺⇮-23848","layer":3},{"info":"⊺⇮5042⊱⇼⊻⊺⇮4195=⊺⇮434","layer":3},{"info":"⊺⇮-23848⨂≜⊺⇮434=NaN","layer":2},{"info":"⊺⇮5270∙∹∝⊺⇮3919=⊺⇮0","layer":3},{"info":"⪭⩑⪱⊺⇮1874=⊺⇮8320752","layer":3},{"info":"⊺⇮0⋥≓≎⊺⇮8320752=⊺⇮16641537","layer":2},{"info":"NaN≧⫂∧⊺⇮16641537=⊺⇮16641064","layer":1},{"info":"⊺⇮1335∛⊺⇮2495=⊺⇮-670","layer":3},{"info":"⊺⇮1901⫉⨲⊜⊺⇮8440=⊺⇮0","layer":3},{"info":"⊺⇮-670⩣⫁∢⊺⇮0=⊺⇮3245","layer":2},{"info":"⊺⇮4166⨿⊺⇮1469=⊺⇮-319","layer":3},{"info":"⨵⊺⇮2238=⊺⇮-19113","layer":3},{"info":"⊺⇮-319≄⊠⊺⇮-19113=⊺⇮1500","layer":2},{"info":"⊺⇮3245↞⋁⊺⇮1500=NaN","layer":1},{"info":"⊺⇮16641064≦↸NaN=NaN","layer":0}]}
{"id":645,"expression_no_base_symbol":"≻⋜(($2541$-$4935$)⩇∃⫛$1610$⨂≜$6399$≬⇓($1133$∥⊢⊲$3991$)⪔⊥($4381$+$2982$))","expression":"≻⋜((⊺⇮2541-⊺⇮4935)⩇∃⫛⊺⇮1610⨂≜⊺⇮6399≬⇓(⊺⇮1133∥⊢⊲⊺⇮3991)⪔⊥(⊺⇮4381+⊺⇮2982))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1724,"operation_count":8,"complexity_ratio":215.5,"tree":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2541,"base":10},"right_expr":{"type":"numeric_atoms","value":4935,"base":10}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1610,"base":10},"right_expr":{"type":"numeric_atoms","value":6399,"base":10}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1133,"base":10},"right_expr":{"type":"numeric_atoms","value":3991,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4381,"base":10},"right_expr":{"type":"numeric_atoms","value":2982,"base":10}}}}},"used_operators":["3tj9sqzovi","jWTQ2TZYIH","1aApVXNlOP","rysDP5nf3Z","k1SHOSEABc","HJ9erzHUuu","v1UQAVDJRr","W4YGzv6Whe"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2541","layer":4},{"info":"number node, value=4935","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=4935, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2394","layer":3},{"info":"number node, value=1610","layer":4},{"info":"number node, value=6399","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=6399, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2394, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"number node, value=1133","layer":4},{"info":"number node, value=3991","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=3991, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4381","layer":4},{"info":"number node, value=2982","layer":4},{"info":"compute binary expreesion, left_input=4381, right_input=2982, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7363","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7363, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≻⋜((⊺⇮2541-⊺⇮4935)⩇∃⫛⊺⇮1610⨂≜⊺⇮6399≬⇓(⊺⇮1133∥⊢⊲⊺⇮3991)⪔⊥(⊺⇮4381+⊺⇮2982))=NaN","reverse_text":"NaN=≻⋜((⊺⇮2541-⊺⇮4935)⩇∃⫛⊺⇮1610⨂≜⊺⇮6399≬⇓(⊺⇮1133∥⊢⊲⊺⇮3991)⪔⊥(⊺⇮4381+⊺⇮2982))","cot":[{"info":"⊺⇮2541-⊺⇮4935=⊺⇮-2394","layer":3},{"info":"⊺⇮1610⨂≜⊺⇮6399=NaN","layer":3},{"info":"⊺⇮-2394⩇∃⫛NaN=NaN","layer":2},{"info":"⊺⇮1133∥⊢⊲⊺⇮3991=NaN","layer":3},{"info":"⊺⇮4381+⊺⇮2982=⊺⇮7363","layer":3},{"info":"NaN⪔⊥⊺⇮7363=NaN","layer":2},{"info":"NaN≬⇓NaN=NaN","layer":1},{"info":"≻⋜NaN=NaN","layer":0}]}
{"id":646,"expression_no_base_symbol":"(($7347$∷$3447$)⊠≄⫣)⊬⨰($3249$↼⊘⨖$1058$≃(⇜⊴$8098$))⊨(($4374$≦≮≮)↙($1849$⩹$7520$))⇣⩺⋵($1851$⇍⊗$1185$⫲≸⪮$2453$⩌⋺$6252$)","expression":"((⊺⇮7347∷⊺⇮3447)⊠≄⫣)⊬⨰(⊺⇮3249↼⊘⨖⊺⇮1058≃(⇜⊴⊺⇮8098))⊨((⊺⇮4374≦≮≮)↙(⊺⇮1849⩹⊺⇮7520))⇣⩺⋵(⊺⇮1851⇍⊗⊺⇮1185⫲≸⪮⊺⇮2453⩌⋺⊺⇮6252)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":472,"operation_count":14,"complexity_ratio":33.714285714285715,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":7347,"base":10},"right_expr":{"type":"numeric_atoms","value":3447,"base":10}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3249,"base":10},"right_expr":{"type":"numeric_atoms","value":1058,"base":10}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":8098,"base":10}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4374,"base":10}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1849,"base":10},"right_expr":{"type":"numeric_atoms","value":7520,"base":10}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1851,"base":10},"right_expr":{"type":"numeric_atoms","value":1185,"base":10}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2453,"base":10},"right_expr":{"type":"numeric_atoms","value":6252,"base":10}}}}},"used_operators":["vg4gO5BX6G","s3Fd5m9Dh2","DIvbN7qnHd","D3AQDKkPcf","YbVcJGFEVW","bPywburJMS","XwDhCwWbUn","F4yD0voBRQ","yyfyN0ffXY","D4vGDi5EA2","2Wsdkap16l","P3lXMJvFrc","5uvYHDjeKN","g7Hmc5v1ko"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⊺⇮121434887","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7347","layer":4},{"info":"number node, value=3447","layer":4},{"info":"compute binary expreesion, left_input=7347, right_input=3447, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3447","layer":3},{"info":"compute unary expreesion, input=3447, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=3249","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=3249, right_input=1058, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1894","layer":3},{"info":"number node, value=8098","layer":4},{"info":"compute unary expreesion, input=8098, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1897414","layer":3},{"info":"compute binary expreesion, left_input=1894, right_input=-1897414, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=7589616","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7589616, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=30358464","layer":1},{"info":"number node, value=4374","layer":4},{"info":"compute unary expreesion, input=4374, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13122","layer":3},{"info":"number node, value=1849","layer":4},{"info":"number node, value=7520","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=7520, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=7518","layer":3},{"info":"compute binary expreesion, left_input=-13122, right_input=7518, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13122","layer":2},{"info":"number node, value=1851","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=1185, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2453","layer":4},{"info":"number node, value=6252","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=6252, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8826","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-8826, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=-13122, right_input=-244, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-51938","layer":1},{"info":"compute binary expreesion, left_input=30358464, right_input=-51938, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=121434887","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7347∷⊺⇮3447)⊠≄⫣)⊬⨰(⊺⇮3249↼⊘⨖⊺⇮1058≃(⇜⊴⊺⇮8098))⊨((⊺⇮4374≦≮≮)↙(⊺⇮1849⩹⊺⇮7520))⇣⩺⋵(⊺⇮1851⇍⊗⊺⇮1185⫲≸⪮⊺⇮2453⩌⋺⊺⇮6252)=⊺⇮121434887","reverse_text":"⊺⇮121434887=((⊺⇮7347∷⊺⇮3447)⊠≄⫣)⊬⨰(⊺⇮3249↼⊘⨖⊺⇮1058≃(⇜⊴⊺⇮8098))⊨((⊺⇮4374≦≮≮)↙(⊺⇮1849⩹⊺⇮7520))⇣⩺⋵(⊺⇮1851⇍⊗⊺⇮1185⫲≸⪮⊺⇮2453⩌⋺⊺⇮6252)","cot":[{"info":"⊺⇮7347∷⊺⇮3447=⊺⇮3447","layer":3},{"info":"⊺⇮3447⊠≄⫣=⊺⇮0","layer":2},{"info":"⊺⇮3249↼⊘⨖⊺⇮1058=⊺⇮1894","layer":3},{"info":"⇜⊴⊺⇮8098=⊺⇮-1897414","layer":3},{"info":"⊺⇮1894≃⊺⇮-1897414=⊺⇮7589616","layer":2},{"info":"⊺⇮0⊬⨰⊺⇮7589616=⊺⇮30358464","layer":1},{"info":"⊺⇮4374≦≮≮=⊺⇮-13122","layer":3},{"info":"⊺⇮1849⩹⊺⇮7520=⊺⇮7518","layer":3},{"info":"⊺⇮-13122↙⊺⇮7518=⊺⇮-13122","layer":2},{"info":"⊺⇮1851⇍⊗⊺⇮1185=⊺⇮-244","layer":3},{"info":"⊺⇮2453⩌⋺⊺⇮6252=⊺⇮-8826","layer":3},{"info":"⊺⇮-244⫲≸⪮⊺⇮-8826=⊺⇮-244","layer":2},{"info":"⊺⇮-13122⇣⩺⋵⊺⇮-244=⊺⇮-51938","layer":1},{"info":"⊺⇮30358464⊨⊺⇮-51938=⊺⇮121434887","layer":0}]}
{"id":647,"expression_no_base_symbol":"⫟($2784$∳⫺$1915$≀⫉(⨮↦↱$1422$))⩦($5035$⪔⊥$1190$⊨($1514$∲⫓$1004$))","expression":"⫟(⊺⇮2784∳⫺⊺⇮1915≀⫉(⨮↦↱⊺⇮1422))⩦(⊺⇮5035⪔⊥⊺⇮1190⊨(⊺⇮1514∲⫓⊺⇮1004))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1262,"operation_count":8,"complexity_ratio":157.75,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2784,"base":10},"right_expr":{"type":"numeric_atoms","value":1915,"base":10}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1422,"base":10}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5035,"base":10},"right_expr":{"type":"numeric_atoms","value":1190,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1514,"base":10},"right_expr":{"type":"numeric_atoms","value":1004,"base":10}}}}},"used_operators":["z4E1FaHLuy","0kmYd0q39Y","oZj3VtZNQx","AzXXKTstlj","sYcpBQ0cFf","vg4gO5BX6G","HJ9erzHUuu","i8ToyICDmI"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-16025","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2784","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=2784, right_input=1915, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=1422","layer":4},{"info":"compute unary expreesion, input=1422, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-2580282","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-2580282, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=5035","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=5035, right_input=1190, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=17561","layer":3},{"info":"number node, value=1514","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=1004, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=17561, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=71275","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=71275, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5644","layer":1},{"info":"compute unary expreesion, input=5644, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-16025","layer":0}],"base":10,"result_base":10,"text":"⫟(⊺⇮2784∳⫺⊺⇮1915≀⫉(⨮↦↱⊺⇮1422))⩦(⊺⇮5035⪔⊥⊺⇮1190⊨(⊺⇮1514∲⫓⊺⇮1004))=⊺⇮-16025","reverse_text":"⊺⇮-16025=⫟(⊺⇮2784∳⫺⊺⇮1915≀⫉(⨮↦↱⊺⇮1422))⩦(⊺⇮5035⪔⊥⊺⇮1190⊨(⊺⇮1514∲⫓⊺⇮1004))","cot":[{"info":"⊺⇮2784∳⫺⊺⇮1915=⊺⇮-260","layer":3},{"info":"⨮↦↱⊺⇮1422=⊺⇮-2580282","layer":3},{"info":"⊺⇮-260≀⫉⊺⇮-2580282=⊺⇮2822","layer":2},{"info":"⊺⇮5035⪔⊥⊺⇮1190=⊺⇮17561","layer":3},{"info":"⊺⇮1514∲⫓⊺⇮1004=⊺⇮0","layer":3},{"info":"⊺⇮17561⊨⊺⇮0=⊺⇮71275","layer":2},{"info":"⊺⇮2822⩦⊺⇮71275=⊺⇮5644","layer":1},{"info":"⫟⊺⇮5644=⊺⇮-16025","layer":0}]}
{"id":648,"expression_no_base_symbol":"(($7034$↠)⫔⩽⩺(⇵⪽$3626$))↤⩊(≘$2400$⇡⇂$3556$)⋓(⨈⪑(⩷$4357$)⫗⊷⫓($2763$⨥⫆$4760$))","expression":"((⊺⇮7034↠)⫔⩽⩺(⇵⪽⊺⇮3626))↤⩊(≘⊺⇮2400⇡⇂⊺⇮3556)⋓(⨈⪑(⩷⊺⇮4357)⫗⊷⫓(⊺⇮2763⨥⫆⊺⇮4760))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":111875,"operation_count":11,"complexity_ratio":10170.454545454546,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":7034,"base":10}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3626,"base":10}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2400,"base":10},"right_expr":{"type":"numeric_atoms","value":3556,"base":10}}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4357,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2763,"base":10},"right_expr":{"type":"numeric_atoms","value":4760,"base":10}}}}},"used_operators":["T2fj7uvVaJ","13rbtpv6ld","i9eR4S00cU","LBdsKIvxzf","ZGCBLdVRRX","tcjXMdvYtA","UMwdvZNt44","mp94q5OcYM","zashukvMKz","1h0rLqGiFr","yXekIHxTD4"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Tw270M8GLb","fu6greOZ01","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","U7g4x0WXJJ","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7034","layer":4},{"info":"compute unary expreesion, input=7034, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=3626","layer":4},{"info":"compute unary expreesion, input=3626, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=2400","layer":4},{"info":"number node, value=3556","layer":4},{"info":"compute binary expreesion, left_input=2400, right_input=3556, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=4357","layer":4},{"info":"compute unary expreesion, input=4357, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-52363","layer":3},{"info":"number node, value=2763","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=4760, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9396","layer":3},{"info":"compute binary expreesion, left_input=-52363, right_input=9396, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7034↠)⫔⩽⩺(⇵⪽⊺⇮3626))↤⩊(≘⊺⇮2400⇡⇂⊺⇮3556)⋓(⨈⪑(⩷⊺⇮4357)⫗⊷⫓(⊺⇮2763⨥⫆⊺⇮4760))=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮7034↠)⫔⩽⩺(⇵⪽⊺⇮3626))↤⩊(≘⊺⇮2400⇡⇂⊺⇮3556)⋓(⨈⪑(⩷⊺⇮4357)⫗⊷⫓(⊺⇮2763⨥⫆⊺⇮4760))","cot":[{"info":"⊺⇮7034↠=⊺⇮-447","layer":3},{"info":"⇵⪽⊺⇮3626=NaN","layer":3},{"info":"⊺⇮-447⫔⩽⩺NaN=NaN","layer":2},{"info":"⊺⇮2400⇡⇂⊺⇮3556=NaN","layer":3},{"info":"≘NaN=NaN","layer":2},{"info":"NaN↤⩊NaN=NaN","layer":1},{"info":"⩷⊺⇮4357=⊺⇮-52363","layer":3},{"info":"⊺⇮2763⨥⫆⊺⇮4760=⊺⇮9396","layer":3},{"info":"⊺⇮-52363⫗⊷⫓⊺⇮9396=⊺⇮-134","layer":2},{"info":"⨈⪑⊺⇮-134=⊺⇮868","layer":1},{"info":"NaN⋓⊺⇮868=⊺⇮0","layer":0}]}
{"id":649,"expression_no_base_symbol":"($1037$⨼⩣$2384$∌↝($2459$↸$1508$)⪡($2872$∙⊟$1225$)⫁($1034$⇤$3174$))⋾⨃∁(⋠∜($1578$↹⊜$2140$)⫗⊷⫓($1862$∇⊂⋱$2306$))","expression":"(⊺⇮1037⨼⩣⊺⇮2384∌↝(⊺⇮2459↸⊺⇮1508)⪡(⊺⇮2872∙⊟⊺⇮1225)⫁(⊺⇮1034⇤⊺⇮3174))⋾⨃∁(⋠∜(⊺⇮1578↹⊜⊺⇮2140)⫗⊷⫓(⊺⇮1862∇⊂⋱⊺⇮2306))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":148898,"operation_count":12,"complexity_ratio":12408.166666666666,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1037,"base":10},"right_expr":{"type":"numeric_atoms","value":2384,"base":10}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2459,"base":10},"right_expr":{"type":"numeric_atoms","value":1508,"base":10}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2872,"base":10},"right_expr":{"type":"numeric_atoms","value":1225,"base":10}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1034,"base":10},"right_expr":{"type":"numeric_atoms","value":3174,"base":10}}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1578,"base":10},"right_expr":{"type":"numeric_atoms","value":2140,"base":10}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1862,"base":10},"right_expr":{"type":"numeric_atoms","value":2306,"base":10}}}}},"used_operators":["212REbPD9h","oraRL2iQuh","9Isq31Ruls","JxwMv5le6e","1eCjFl0mb9","0ajvFaJAv0","SxTAKzQCrw","YSKBFp38Pu","ZJpFhNJr3x","zashukvMKz","9bazX3JMtO","nhYeJWJD5X"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","cHh1gJQ2o6","AHs5Up7iyr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⊺⇮30533970","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=2384, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2459","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=1508, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2459","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2459, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":2},{"info":"number node, value=2872","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=1225, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=47182","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=3174","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=3174, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-18192","layer":3},{"info":"compute binary expreesion, left_input=47182, right_input=-18192, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"number node, value=1578","layer":4},{"info":"number node, value=2140","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=2140, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-5500","layer":3},{"info":"number node, value=1862","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=2306, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3178","layer":3},{"info":"compute binary expreesion, left_input=-5500, right_input=3178, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=1748","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1748, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=30533970","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1037⨼⩣⊺⇮2384∌↝(⊺⇮2459↸⊺⇮1508)⪡(⊺⇮2872∙⊟⊺⇮1225)⫁(⊺⇮1034⇤⊺⇮3174))⋾⨃∁(⋠∜(⊺⇮1578↹⊜⊺⇮2140)⫗⊷⫓(⊺⇮1862∇⊂⋱⊺⇮2306))=⊺⇮30533970","reverse_text":"⊺⇮30533970=(⊺⇮1037⨼⩣⊺⇮2384∌↝(⊺⇮2459↸⊺⇮1508)⪡(⊺⇮2872∙⊟⊺⇮1225)⫁(⊺⇮1034⇤⊺⇮3174))⋾⨃∁(⋠∜(⊺⇮1578↹⊜⊺⇮2140)⫗⊷⫓(⊺⇮1862∇⊂⋱⊺⇮2306))","cot":[{"info":"⊺⇮1037⨼⩣⊺⇮2384=NaN","layer":3},{"info":"⊺⇮2459↸⊺⇮1508=⊺⇮2459","layer":3},{"info":"NaN∌↝⊺⇮2459=NaN","layer":2},{"info":"⊺⇮2872∙⊟⊺⇮1225=⊺⇮47182","layer":3},{"info":"⊺⇮1034⇤⊺⇮3174=⊺⇮-18192","layer":3},{"info":"⊺⇮47182⫁⊺⇮-18192=⊺⇮160","layer":2},{"info":"NaN⪡⊺⇮160=NaN","layer":1},{"info":"⊺⇮1578↹⊜⊺⇮2140=⊺⇮-5500","layer":3},{"info":"⊺⇮1862∇⊂⋱⊺⇮2306=⊺⇮3178","layer":3},{"info":"⊺⇮-5500⫗⊷⫓⊺⇮3178=⊺⇮-134","layer":2},{"info":"⋠∜⊺⇮-134=⊺⇮1748","layer":1},{"info":"NaN⋾⨃∁⊺⇮1748=⊺⇮30533970","layer":0}]}
{"id":650,"expression_no_base_symbol":"(↥$8732$⪡$5036$⊋≦⊧($2311$∲⫓$2358$))⨰(↔($5041$∇⊂⋱$6300$⫳≱↱(⇠$7342$)))","expression":"(↥⊺⇮8732⪡⊺⇮5036⊋≦⊧(⊺⇮2311∲⫓⊺⇮2358))⨰(↔(⊺⇮5041∇⊂⋱⊺⇮6300⫳≱↱(⇠⊺⇮7342)))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":396,"operation_count":9,"complexity_ratio":44.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":8732,"base":10},"right_expr":{"type":"numeric_atoms","value":5036,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2311,"base":10},"right_expr":{"type":"numeric_atoms","value":2358,"base":10}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5041,"base":10},"right_expr":{"type":"numeric_atoms","value":6300,"base":10}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":7342,"base":10}}}}},"used_operators":["eewbuw0ToL","A8NUZmVepG","oRDoc9rAEX","oraRL2iQuh","i8ToyICDmI","ruOEQAzv1W","ZvLB05nZmT","nhYeJWJD5X","18saOjeKKm"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"⊺⇮183","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8732","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=8732, right_input=5036, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=2311","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=2358, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=0, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":1},{"info":"number node, value=5041","layer":4},{"info":"number node, value=6300","layer":4},{"info":"compute binary expreesion, left_input=5041, right_input=6300, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9536","layer":3},{"info":"number node, value=7342","layer":4},{"info":"compute unary expreesion, input=7342, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-7100","layer":3},{"info":"compute binary expreesion, left_input=9536, right_input=-7100, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute unary expreesion, input=-204, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=39, right_input=-134, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=183","layer":0}],"base":10,"result_base":10,"text":"(↥⊺⇮8732⪡⊺⇮5036⊋≦⊧(⊺⇮2311∲⫓⊺⇮2358))⨰(↔(⊺⇮5041∇⊂⋱⊺⇮6300⫳≱↱(⇠⊺⇮7342)))=⊺⇮183","reverse_text":"⊺⇮183=(↥⊺⇮8732⪡⊺⇮5036⊋≦⊧(⊺⇮2311∲⫓⊺⇮2358))⨰(↔(⊺⇮5041∇⊂⋱⊺⇮6300⫳≱↱(⇠⊺⇮7342)))","cot":[{"info":"⊺⇮8732⪡⊺⇮5036=⊺⇮107","layer":3},{"info":"⊺⇮2311∲⫓⊺⇮2358=⊺⇮0","layer":3},{"info":"⊺⇮107⊋≦⊧⊺⇮0=⊺⇮192","layer":2},{"info":"↥⊺⇮192=⊺⇮39","layer":1},{"info":"⊺⇮5041∇⊂⋱⊺⇮6300=⊺⇮9536","layer":3},{"info":"⇠⊺⇮7342=⊺⇮-7100","layer":3},{"info":"⊺⇮9536⫳≱↱⊺⇮-7100=⊺⇮-204","layer":2},{"info":"↔⊺⇮-204=⊺⇮-134","layer":1},{"info":"⊺⇮39⨰⊺⇮-134=⊺⇮183","layer":0}]}
{"id":651,"expression_no_base_symbol":"⋠∜($3625$⪎↠$3523$∠⫱$7413$∀⇚≩$1633$)⪒⊣⊆(($3073$⫃⨇$1307$)⩧⪆$5413$⩘$1042$)","expression":"⋠∜(⊺⇮3625⪎↠⊺⇮3523∠⫱⊺⇮7413∀⇚≩⊺⇮1633)⪒⊣⊆((⊺⇮3073⫃⨇⊺⇮1307)⩧⪆⊺⇮5413⩘⊺⇮1042)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52031,"operation_count":8,"complexity_ratio":6503.875,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3625,"base":10},"right_expr":{"type":"numeric_atoms","value":3523,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7413,"base":10},"right_expr":{"type":"numeric_atoms","value":1633,"base":10}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3073,"base":10},"right_expr":{"type":"numeric_atoms","value":1307,"base":10}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5413,"base":10},"right_expr":{"type":"numeric_atoms","value":1042,"base":10}}}}},"used_operators":["ZJpFhNJr3x","eRqsBgTDFp","QvoQhV0rrE","3tVxb0NHM4","LRNGc0VcxI","Ikt5ks8PT7","09Ly4LVMIf","cHh1gJQ2o6"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","sdazOOVcIp","W4YGzv6Whe","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","X99M06cbEe","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3625","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=3625, right_input=3523, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=7413","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=7413, right_input=1633, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"number node, value=3073","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=3073, right_input=1307, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5260","layer":3},{"info":"number node, value=5413","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=5413, right_input=1042, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-5260, right_input=160, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":0}],"base":10,"result_base":10,"text":"⋠∜(⊺⇮3625⪎↠⊺⇮3523∠⫱⊺⇮7413∀⇚≩⊺⇮1633)⪒⊣⊆((⊺⇮3073⫃⨇⊺⇮1307)⩧⪆⊺⇮5413⩘⊺⇮1042)=⊺⇮67","reverse_text":"⊺⇮67=⋠∜(⊺⇮3625⪎↠⊺⇮3523∠⫱⊺⇮7413∀⇚≩⊺⇮1633)⪒⊣⊆((⊺⇮3073⫃⨇⊺⇮1307)⩧⪆⊺⇮5413⩘⊺⇮1042)","cot":[{"info":"⊺⇮3625⪎↠⊺⇮3523=⊺⇮160","layer":3},{"info":"⊺⇮7413∀⇚≩⊺⇮1633=NaN","layer":3},{"info":"⊺⇮160∠⫱NaN=NaN","layer":2},{"info":"⊺⇮3073⫃⨇⊺⇮1307=⊺⇮-5260","layer":3},{"info":"⊺⇮5413⩘⊺⇮1042=⊺⇮160","layer":3},{"info":"⊺⇮-5260⩧⪆⊺⇮160=⊺⇮-160","layer":2},{"info":"NaN⪒⊣⊆⊺⇮-160=NaN","layer":1},{"info":"⋠∜NaN=⊺⇮67","layer":0}]}
{"id":652,"expression_no_base_symbol":"($1806$↱$1286$)⨚⇆$3700$⨻⩈⩔$4160$⨭⪣((⨭⩧⫛$6013$)↸($3630$⪨≂$2396$))∷","expression":"(⊺⇮1806↱⊺⇮1286)⨚⇆⊺⇮3700⨻⩈⩔⊺⇮4160⨭⪣((⨭⩧⫛⊺⇮6013)↸(⊺⇮3630⪨≂⊺⇮2396))∷","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23719,"operation_count":8,"complexity_ratio":2964.875,"tree":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1806,"base":10},"right_expr":{"type":"numeric_atoms","value":1286,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3700,"base":10},"right_expr":{"type":"numeric_atoms","value":4160,"base":10}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":6013,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3630,"base":10},"right_expr":{"type":"numeric_atoms","value":2396,"base":10}}}}},"used_operators":["nFAOW8KTqp","kn8WO9XteQ","lwHaAYXP2r","SR5kFfdi6N","nEsXyWgiOK","1eCjFl0mb9","g21JL6JxX7","sdazOOVcIp"],"dependent_operators":["D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-63","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1806","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=1286, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3336","layer":3},{"info":"number node, value=3700","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=3700, right_input=4160, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=21199","layer":3},{"info":"compute binary expreesion, left_input=-3336, right_input=21199, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=6013","layer":4},{"info":"compute unary expreesion, input=6013, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=3630","layer":4},{"info":"number node, value=2396","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=2396, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2570","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2570, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-63","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1806↱⊺⇮1286)⨚⇆⊺⇮3700⨻⩈⩔⊺⇮4160⨭⪣((⨭⩧⫛⊺⇮6013)↸(⊺⇮3630⪨≂⊺⇮2396))∷=⊺⇮-63","reverse_text":"⊺⇮-63=(⊺⇮1806↱⊺⇮1286)⨚⇆⊺⇮3700⨻⩈⩔⊺⇮4160⨭⪣((⨭⩧⫛⊺⇮6013)↸(⊺⇮3630⪨≂⊺⇮2396))∷","cot":[{"info":"⊺⇮1806↱⊺⇮1286=⊺⇮-3336","layer":3},{"info":"⊺⇮3700⨻⩈⩔⊺⇮4160=⊺⇮21199","layer":3},{"info":"⊺⇮-3336⨚⇆⊺⇮21199=NaN","layer":2},{"info":"⨭⩧⫛⊺⇮6013=NaN","layer":3},{"info":"⊺⇮3630⪨≂⊺⇮2396=⊺⇮2570","layer":3},{"info":"NaN↸⊺⇮2570=NaN","layer":2},{"info":"NaN⨭⪣NaN=⊺⇮-21","layer":1},{"info":"⊺⇮-21∷=⊺⇮-63","layer":0}]}
{"id":653,"expression_no_base_symbol":"(⇜(↣≠⋷($1671$≧⫂∧$2105$)))⩎⪣⊞","expression":"(⇜(↣≠⋷(⊺⇮1671≧⫂∧⊺⇮2105)))⩎⪣⊞","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":946,"operation_count":4,"complexity_ratio":236.5,"tree":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1671,"base":10},"right_expr":{"type":"numeric_atoms","value":2105,"base":10}}}}},"used_operators":["waWucp1uQ4","lFBm8KRb8F","Asc51vEJeQ","Ph9nP6C5qx"],"dependent_operators":["mp7IySMOzn","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1671","layer":4},{"info":"number node, value=2105","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=2105, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1632","layer":3},{"info":"compute unary expreesion, input=1632, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇜(↣≠⋷(⊺⇮1671≧⫂∧⊺⇮2105)))⩎⪣⊞=NaN","reverse_text":"NaN=(⇜(↣≠⋷(⊺⇮1671≧⫂∧⊺⇮2105)))⩎⪣⊞","cot":[{"info":"⊺⇮1671≧⫂∧⊺⇮2105=⊺⇮1632","layer":3},{"info":"↣≠⋷⊺⇮1632=NaN","layer":2},{"info":"⇜NaN=NaN","layer":1},{"info":"NaN⩎⪣⊞=NaN","layer":0}]}
{"id":654,"expression_no_base_symbol":"∂(⫓⪴(⊵⊁$7338$))⇤($2733$⊭↱$6390$*$2684$⪝$4103$)","expression":"∂(⫓⪴(⊵⊁⊺⇮7338))⇤(⊺⇮2733⊭↱⊺⇮6390*⊺⇮2684⪝⊺⇮4103)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":44079,"operation_count":7,"complexity_ratio":6297.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":7338,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2733,"base":10},"right_expr":{"type":"numeric_atoms","value":6390,"base":10}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2684,"base":10},"right_expr":{"type":"numeric_atoms","value":4103,"base":10}}}}},"used_operators":["Uaa54Peajs","YSKBFp38Pu","eLxqMNBOBk","AvED76WdY7","9HNa5Wba9A","COABgblf1C","wicAB68Tmb"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9HNa5Wba9A","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"Inf","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7338","layer":4},{"info":"compute unary expreesion, input=7338, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=42958","layer":3},{"info":"compute unary expreesion, input=42958, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1845389764","layer":2},{"info":"number node, value=2733","layer":4},{"info":"number node, value=6390","layer":4},{"info":"compute binary expreesion, left_input=2733, right_input=6390, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7319","layer":3},{"info":"number node, value=2684","layer":4},{"info":"number node, value=4103","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=4103, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=7319, right_input=237, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1734603","layer":2},{"info":"compute binary expreesion, left_input=1845389764, right_input=1734603, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=inf","layer":0}],"base":10,"result_base":10,"text":"∂(⫓⪴(⊵⊁⊺⇮7338))⇤(⊺⇮2733⊭↱⊺⇮6390*⊺⇮2684⪝⊺⇮4103)=Inf","reverse_text":"Inf=∂(⫓⪴(⊵⊁⊺⇮7338))⇤(⊺⇮2733⊭↱⊺⇮6390*⊺⇮2684⪝⊺⇮4103)","cot":[{"info":"⊵⊁⊺⇮7338=⊺⇮42958","layer":3},{"info":"⫓⪴⊺⇮42958=⊺⇮1845389764","layer":2},{"info":"⊺⇮2733⊭↱⊺⇮6390=⊺⇮7319","layer":3},{"info":"⊺⇮2684⪝⊺⇮4103=⊺⇮237","layer":3},{"info":"⊺⇮7319*⊺⇮237=⊺⇮1734603","layer":2},{"info":"⊺⇮1845389764⇤⊺⇮1734603=-Inf","layer":1},{"info":"∂-Inf=Inf","layer":0}]}
{"id":655,"expression_no_base_symbol":"((⇋↷$2664$)⩤)⪝($3521$≨$3902$⇄$2661$⇻⋧≁$1791$)⨐((⊽(⇠$2703$))↓((↯⪼$1140$)⨓$3708$⨿$6152$))","expression":"((⇋↷⊺⇮2664)⩤)⪝(⊺⇮3521≨⊺⇮3902⇄⊺⇮2661⇻⋧≁⊺⇮1791)⨐((⊽(⇠⊺⇮2703))↓((↯⪼⊺⇮1140)⨓⊺⇮3708⨿⊺⇮6152))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8588,"operation_count":13,"complexity_ratio":660.6153846153846,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2664,"base":10}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3521,"base":10},"right_expr":{"type":"numeric_atoms","value":3902,"base":10}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2661,"base":10},"right_expr":{"type":"numeric_atoms","value":1791,"base":10}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2703,"base":10}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1140,"base":10}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3708,"base":10},"right_expr":{"type":"numeric_atoms","value":6152,"base":10}}}}},"used_operators":["Noe24qw2ks","wicAB68Tmb","Z2TMIBDE3Q","SWo3A1KBJH","3EYGwJThht","0KMCeP1Jsh","jCPkEVoL5K","Af076pWI7l","QxG7OkqoLX","18saOjeKKm","3ViojmjbAp","8jW3W4yZS5","abYXlopdE0"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⊺⇮416458","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2664","layer":4},{"info":"compute unary expreesion, input=2664, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=21312","layer":3},{"info":"compute unary expreesion, input=21312, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-21312","layer":2},{"info":"number node, value=3521","layer":4},{"info":"number node, value=3902","layer":4},{"info":"compute binary expreesion, left_input=3521, right_input=3902, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-32734","layer":3},{"info":"number node, value=2661","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=2661, right_input=1791, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-32734, right_input=-447, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=931","layer":2},{"info":"compute binary expreesion, left_input=-21312, right_input=931, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-208229","layer":1},{"info":"number node, value=2703","layer":4},{"info":"compute unary expreesion, input=2703, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2461","layer":3},{"info":"compute unary expreesion, input=-2461, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"number node, value=1140","layer":4},{"info":"compute unary expreesion, input=1140, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=3708","layer":4},{"info":"number node, value=6152","layer":4},{"info":"compute binary expreesion, left_input=3708, right_input=6152, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-319, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-322","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-322, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-208229, right_input=-134, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=416458","layer":0}],"base":10,"result_base":10,"text":"((⇋↷⊺⇮2664)⩤)⪝(⊺⇮3521≨⊺⇮3902⇄⊺⇮2661⇻⋧≁⊺⇮1791)⨐((⊽(⇠⊺⇮2703))↓((↯⪼⊺⇮1140)⨓⊺⇮3708⨿⊺⇮6152))=⊺⇮416458","reverse_text":"⊺⇮416458=((⇋↷⊺⇮2664)⩤)⪝(⊺⇮3521≨⊺⇮3902⇄⊺⇮2661⇻⋧≁⊺⇮1791)⨐((⊽(⇠⊺⇮2703))↓((↯⪼⊺⇮1140)⨓⊺⇮3708⨿⊺⇮6152))","cot":[{"info":"⇋↷⊺⇮2664=⊺⇮21312","layer":3},{"info":"⊺⇮21312⩤=⊺⇮-21312","layer":2},{"info":"⊺⇮3521≨⊺⇮3902=⊺⇮-32734","layer":3},{"info":"⊺⇮2661⇻⋧≁⊺⇮1791=⊺⇮-447","layer":3},{"info":"⊺⇮-32734⇄⊺⇮-447=⊺⇮931","layer":2},{"info":"⊺⇮-21312⪝⊺⇮931=⊺⇮-208229","layer":1},{"info":"⇠⊺⇮2703=⊺⇮-2461","layer":3},{"info":"⊽⊺⇮-2461=⊺⇮0","layer":2},{"info":"↯⪼⊺⇮1140=⊺⇮-21","layer":3},{"info":"⊺⇮3708⨿⊺⇮6152=⊺⇮-319","layer":3},{"info":"⊺⇮-21⨓⊺⇮-319=⊺⇮-322","layer":2},{"info":"⊺⇮0↓⊺⇮-322=⊺⇮-134","layer":1},{"info":"⊺⇮-208229⨐⊺⇮-134=⊺⇮416458","layer":0}]}
{"id":656,"expression_no_base_symbol":"(⪝⪂⫅(($2981$∝$1663$)≒∊($1062$↱$2973$)))⪁$5348$⩁⩘$2561$≭($9838$⫚↹⊑$2199$)∝($1027$⩷∴$3663$)⫘$1510$⪟⇏$1247$","expression":"(⪝⪂⫅((⊺⇮2981∝⊺⇮1663)≒∊(⊺⇮1062↱⊺⇮2973)))⪁⊺⇮5348⩁⩘⊺⇮2561≭(⊺⇮9838⫚↹⊑⊺⇮2199)∝(⊺⇮1027⩷∴⊺⇮3663)⫘⊺⇮1510⪟⇏⊺⇮1247","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":373653,"operation_count":12,"complexity_ratio":31137.75,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2981,"base":10},"right_expr":{"type":"numeric_atoms","value":1663,"base":10}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1062,"base":10},"right_expr":{"type":"numeric_atoms","value":2973,"base":10}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5348,"base":10},"right_expr":{"type":"numeric_atoms","value":2561,"base":10}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":9838,"base":10},"right_expr":{"type":"numeric_atoms","value":2199,"base":10}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1027,"base":10},"right_expr":{"type":"numeric_atoms","value":3663,"base":10}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1510,"base":10},"right_expr":{"type":"numeric_atoms","value":1247,"base":10}}}}},"used_operators":["I7sXao9hZE","XTarYq4gQB","5KTvxBwnZo","cTDWOvIxvz","SR5kFfdi6N","rxpJgHHUmx","gub5Cegaqo","dfKe02y8D2","48vC8HMD2b","9FxExcQeMw","GODebY97qR"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9HNa5Wba9A","8w2t5hMYqp","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","7j4O788W3g","W4YGzv6Whe","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","AHs5Up7iyr","DpFCA1CohY","IWmyXbctLI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2981","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=1663, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2986","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=2973","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=2973, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-8397","layer":3},{"info":"compute binary expreesion, left_input=2986, right_input=-8397, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2502","layer":2},{"info":"compute unary expreesion, input=-2502, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=367794","layer":1},{"info":"number node, value=5348","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=5348, right_input=2561, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11192","layer":3},{"info":"number node, value=9838","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=9838, right_input=2199, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=11192, right_input=-447, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1027","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=3663, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5304","layer":3},{"info":"number node, value=1510","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=1247, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-5304, right_input=-1, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=23380379","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23380379, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=367794, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪝⪂⫅((⊺⇮2981∝⊺⇮1663)≒∊(⊺⇮1062↱⊺⇮2973)))⪁⊺⇮5348⩁⩘⊺⇮2561≭(⊺⇮9838⫚↹⊑⊺⇮2199)∝(⊺⇮1027⩷∴⊺⇮3663)⫘⊺⇮1510⪟⇏⊺⇮1247=NaN","reverse_text":"NaN=(⪝⪂⫅((⊺⇮2981∝⊺⇮1663)≒∊(⊺⇮1062↱⊺⇮2973)))⪁⊺⇮5348⩁⩘⊺⇮2561≭(⊺⇮9838⫚↹⊑⊺⇮2199)∝(⊺⇮1027⩷∴⊺⇮3663)⫘⊺⇮1510⪟⇏⊺⇮1247","cot":[{"info":"⊺⇮2981∝⊺⇮1663=⊺⇮2986","layer":3},{"info":"⊺⇮1062↱⊺⇮2973=⊺⇮-8397","layer":3},{"info":"⊺⇮2986≒∊⊺⇮-8397=⊺⇮-2502","layer":2},{"info":"⪝⪂⫅⊺⇮-2502=⊺⇮367794","layer":1},{"info":"⊺⇮5348⩁⩘⊺⇮2561=⊺⇮11192","layer":3},{"info":"⊺⇮9838⫚↹⊑⊺⇮2199=⊺⇮-447","layer":3},{"info":"⊺⇮11192≭⊺⇮-447=NaN","layer":2},{"info":"⊺⇮1027⩷∴⊺⇮3663=⊺⇮-5304","layer":3},{"info":"⊺⇮1510⪟⇏⊺⇮1247=⊺⇮-1","layer":3},{"info":"⊺⇮-5304⫘⊺⇮-1=⊺⇮23380379","layer":2},{"info":"NaN∝⊺⇮23380379=NaN","layer":1},{"info":"⊺⇮367794⪁NaN=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"(⊖∈(⇋↷(⪓⩚$4281$)))≹⇙⪍((⨡↴$6463$)∀⇚≩(⇺⋃$6860$))∥⊢⊲(($2508$⊹∫⫚$7526$)⪒⊣⊆(⇺⋃$2482$))","expression":"(⊖∈(⇋↷(⪓⩚⊺⇮4281)))≹⇙⪍((⨡↴⊺⇮6463)∀⇚≩(⇺⋃⊺⇮6860))∥⊢⊲((⊺⇮2508⊹∫⫚⊺⇮7526)⪒⊣⊆(⇺⋃⊺⇮2482))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":56220,"operation_count":11,"complexity_ratio":5110.909090909091,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":4281,"base":10}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":6463,"base":10}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":6860,"base":10}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2508,"base":10},"right_expr":{"type":"numeric_atoms","value":7526,"base":10}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2482,"base":10}}}}},"used_operators":["AHs5Up7iyr","YFxL8Sc2Zy","SWo3A1KBJH","u0R0Locfp2","v1UQAVDJRr","LRNGc0VcxI","liw5iZPkLH","E5v5B3UAjG","eRqsBgTDFp","uWAJUKEvyW"],"dependent_operators":["dWAJyo7jo9","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","EBcxylXtPf","rGHVDoGpnC","X99M06cbEe","W4YGzv6Whe","P8v4zCKN1o","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","sdazOOVcIp","W4YGzv6Whe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4281","layer":4},{"info":"compute unary expreesion, input=4281, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute unary expreesion, input=426, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=3408","layer":2},{"info":"compute unary expreesion, input=3408, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=62566","layer":1},{"info":"number node, value=6463","layer":4},{"info":"compute unary expreesion, input=6463, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=7512","layer":3},{"info":"number node, value=6860","layer":4},{"info":"compute unary expreesion, input=6860, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7512, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2508","layer":4},{"info":"number node, value=7526","layer":4},{"info":"compute binary expreesion, left_input=2508, right_input=7526, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-388","layer":3},{"info":"number node, value=2482","layer":4},{"info":"compute unary expreesion, input=2482, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-388, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=62566, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊖∈(⇋↷(⪓⩚⊺⇮4281)))≹⇙⪍((⨡↴⊺⇮6463)∀⇚≩(⇺⋃⊺⇮6860))∥⊢⊲((⊺⇮2508⊹∫⫚⊺⇮7526)⪒⊣⊆(⇺⋃⊺⇮2482))=NaN","reverse_text":"NaN=(⊖∈(⇋↷(⪓⩚⊺⇮4281)))≹⇙⪍((⨡↴⊺⇮6463)∀⇚≩(⇺⋃⊺⇮6860))∥⊢⊲((⊺⇮2508⊹∫⫚⊺⇮7526)⪒⊣⊆(⇺⋃⊺⇮2482))","cot":[{"info":"⪓⩚⊺⇮4281=⊺⇮426","layer":3},{"info":"⇋↷⊺⇮426=⊺⇮3408","layer":2},{"info":"⊖∈⊺⇮3408=⊺⇮62566","layer":1},{"info":"⨡↴⊺⇮6463=⊺⇮7512","layer":3},{"info":"⇺⋃⊺⇮6860=NaN","layer":3},{"info":"⊺⇮7512∀⇚≩NaN=NaN","layer":2},{"info":"⊺⇮2508⊹∫⫚⊺⇮7526=⊺⇮-388","layer":3},{"info":"⇺⋃⊺⇮2482=NaN","layer":3},{"info":"⊺⇮-388⪒⊣⊆NaN=NaN","layer":2},{"info":"NaN∥⊢⊲NaN=NaN","layer":1},{"info":"⊺⇮62566≹⇙⪍NaN=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"($4107$∑⇟⊟$7686$⩹$4837$⪘⫢$2462$/($5816$≥⨤⩑$2288$)↓$1280$∥⊢⊲$1113$)⊚⫡⫭","expression":"(⊺⇮4107∑⇟⊟⊺⇮7686⩹⊺⇮4837⪘⫢⊺⇮2462/(⊺⇮5816≥⨤⩑⊺⇮2288)↓⊺⇮1280∥⊢⊲⊺⇮1113)⊚⫡⫭","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":412,"operation_count":8,"complexity_ratio":51.5,"tree":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4107,"base":10},"right_expr":{"type":"numeric_atoms","value":7686,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4837,"base":10},"right_expr":{"type":"numeric_atoms","value":2462,"base":10}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5816,"base":10},"right_expr":{"type":"numeric_atoms","value":2288,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1280,"base":10},"right_expr":{"type":"numeric_atoms","value":1113,"base":10}}}}},"used_operators":["SpZWOsLKZJ","XhwjNDsVaA","2Wsdkap16l","U7g4x0WXJJ","oacrs7FA3X","Af076pWI7l","gJLn6v0xnP","v1UQAVDJRr"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","EBcxylXtPf","rGHVDoGpnC"],"result":"⊺⇮1070","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4107","layer":4},{"info":"number node, value=7686","layer":4},{"info":"compute binary expreesion, left_input=4107, right_input=7686, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4837","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=4837, right_input=2462, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9550","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9550, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=9548","layer":2},{"info":"number node, value=5816","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=5816, right_input=2288, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1280","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=1113, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=9548, right_input=-134, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-72","layer":1},{"info":"compute unary expreesion, input=-72, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=1070","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4107∑⇟⊟⊺⇮7686⩹⊺⇮4837⪘⫢⊺⇮2462/(⊺⇮5816≥⨤⩑⊺⇮2288)↓⊺⇮1280∥⊢⊲⊺⇮1113)⊚⫡⫭=⊺⇮1070","reverse_text":"⊺⇮1070=(⊺⇮4107∑⇟⊟⊺⇮7686⩹⊺⇮4837⪘⫢⊺⇮2462/(⊺⇮5816≥⨤⩑⊺⇮2288)↓⊺⇮1280∥⊢⊲⊺⇮1113)⊚⫡⫭","cot":[{"info":"⊺⇮4107∑⇟⊟⊺⇮7686=NaN","layer":3},{"info":"⊺⇮4837⪘⫢⊺⇮2462=⊺⇮9550","layer":3},{"info":"NaN⩹⊺⇮9550=⊺⇮9548","layer":2},{"info":"⊺⇮5816≥⨤⩑⊺⇮2288=⊺⇮1234","layer":3},{"info":"⊺⇮1280∥⊢⊲⊺⇮1113=NaN","layer":3},{"info":"⊺⇮1234↓NaN=⊺⇮-134","layer":2},{"info":"⊺⇮9548/⊺⇮-134=⊺⇮-72","layer":1},{"info":"⊺⇮-72⊚⫡⫭=⊺⇮1070","layer":0}]}
{"id":659,"expression_no_base_symbol":"($2256$∼$1512$⊍⩺⋍($3519$⪥⨬⪅))∣(↯⪼($7603$⊴⇁⪶))⋻⩜⩜(⊬↢(⨵$2437$))∇⊂⋱(($1210$⪡$1517$)∀⇚≩$6290$⨽∌$2570$)","expression":"(⊺⇮2256∼⊺⇮1512⊍⩺⋍(⊺⇮3519⪥⨬⪅))∣(↯⪼(⊺⇮7603⊴⇁⪶))⋻⩜⩜(⊬↢(⨵⊺⇮2437))∇⊂⋱((⊺⇮1210⪡⊺⇮1517)∀⇚≩⊺⇮6290⨽∌⊺⇮2570)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":11719,"operation_count":13,"complexity_ratio":901.4615384615385,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2256,"base":10},"right_expr":{"type":"numeric_atoms","value":1512,"base":10}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":3519,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":7603,"base":10}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2437,"base":10}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1210,"base":10},"right_expr":{"type":"numeric_atoms","value":1517,"base":10}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6290,"base":10},"right_expr":{"type":"numeric_atoms","value":2570,"base":10}}}}},"used_operators":["oDCm7WA9JY","PPChnnnBFF","OXDGMFPWZM","DyGG3AbaNP","zNRQejTB5A","8jW3W4yZS5","oo9mF6JIpo","nhYeJWJD5X","WPoGxAaPR1","Tl3Y52tvF8","LRNGc0VcxI","oraRL2iQuh","9samAPKr6k"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","X99M06cbEe","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2256","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=1512, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=3519","layer":4},{"info":"compute unary expreesion, input=3519, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=7603","layer":4},{"info":"compute unary expreesion, input=7603, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=159588","layer":3},{"info":"compute unary expreesion, input=159588, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"number node, value=2437","layer":4},{"info":"compute unary expreesion, input=2437, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-20705","layer":3},{"info":"compute unary expreesion, input=-20705, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":2},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1517, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=6290","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=6290, right_input=2570, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2256∼⊺⇮1512⊍⩺⋍(⊺⇮3519⪥⨬⪅))∣(↯⪼(⊺⇮7603⊴⇁⪶))⋻⩜⩜(⊬↢(⨵⊺⇮2437))∇⊂⋱((⊺⇮1210⪡⊺⇮1517)∀⇚≩⊺⇮6290⨽∌⊺⇮2570)=NaN","reverse_text":"NaN=(⊺⇮2256∼⊺⇮1512⊍⩺⋍(⊺⇮3519⪥⨬⪅))∣(↯⪼(⊺⇮7603⊴⇁⪶))⋻⩜⩜(⊬↢(⨵⊺⇮2437))∇⊂⋱((⊺⇮1210⪡⊺⇮1517)∀⇚≩⊺⇮6290⨽∌⊺⇮2570)","cot":[{"info":"⊺⇮2256∼⊺⇮1512=NaN","layer":3},{"info":"⊺⇮3519⪥⨬⪅=⊺⇮-473","layer":3},{"info":"NaN⊍⩺⋍⊺⇮-473=NaN","layer":2},{"info":"⊺⇮7603⊴⇁⪶=⊺⇮159588","layer":3},{"info":"↯⪼⊺⇮159588=⊺⇮-21","layer":2},{"info":"NaN∣⊺⇮-21=NaN","layer":1},{"info":"⨵⊺⇮2437=⊺⇮-20705","layer":3},{"info":"⊬↢⊺⇮-20705=⊺⇮-55","layer":2},{"info":"⊺⇮1210⪡⊺⇮1517=⊺⇮107","layer":3},{"info":"⊺⇮6290⨽∌⊺⇮2570=⊺⇮0","layer":3},{"info":"⊺⇮107∀⇚≩⊺⇮0=NaN","layer":2},{"info":"⊺⇮-55∇⊂⋱NaN=NaN","layer":1},{"info":"NaN⋻⩜⩜NaN=NaN","layer":0}]}
{"id":660,"expression_no_base_symbol":"(⊗($4931$⪨⊡$1003$⋻⩜⩜($3386$≬⋮$3809$)))+⇶⊼($1193$⨚⇆$6464$+⇶⊼$7520$⪬$3407$⫔⩽⩺(≻⋜$2189$)⇄($1537$⩏))","expression":"(⊗(⊺⇮4931⪨⊡⊺⇮1003⋻⩜⩜(⊺⇮3386≬⋮⊺⇮3809)))+⇶⊼(⊺⇮1193⨚⇆⊺⇮6464+⇶⊼⊺⇮7520⪬⊺⇮3407⫔⩽⩺(≻⋜⊺⇮2189)⇄(⊺⇮1537⩏))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19823,"operation_count":12,"complexity_ratio":1651.9166666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4931,"base":10},"right_expr":{"type":"numeric_atoms","value":1003,"base":10}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3386,"base":10},"right_expr":{"type":"numeric_atoms","value":3809,"base":10}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1193,"base":10},"right_expr":{"type":"numeric_atoms","value":6464,"base":10}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":7520,"base":10},"right_expr":{"type":"numeric_atoms","value":3407,"base":10}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2189,"base":10}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1537,"base":10}}}}},"used_operators":["TpPTUOHfaN","RhiyfpczSx","oDCm7WA9JY","kuIXHzHcAH","kbkesczE7y","i9eR4S00cU","lwHaAYXP2r","Ez1Nq5fNfI","3EYGwJThht","3tj9sqzovi","iA2gmKZ3Wj"],"dependent_operators":["AHs5Up7iyr","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Tw270M8GLb","fu6greOZ01","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","z6LnFrNh4i","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4931","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=4931, right_input=1003, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3386","layer":4},{"info":"number node, value=3809","layer":4},{"info":"compute binary expreesion, left_input=3386, right_input=3809, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1924","layer":2},{"info":"compute unary expreesion, input=1924, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3848","layer":1},{"info":"number node, value=1193","layer":4},{"info":"number node, value=6464","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=6464, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=7520","layer":4},{"info":"number node, value=3407","layer":4},{"info":"compute binary expreesion, left_input=7520, right_input=3407, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2189","layer":4},{"info":"compute unary expreesion, input=2189, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=1537","layer":4},{"info":"compute unary expreesion, input=1537, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3848, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊗(⊺⇮4931⪨⊡⊺⇮1003⋻⩜⩜(⊺⇮3386≬⋮⊺⇮3809)))+⇶⊼(⊺⇮1193⨚⇆⊺⇮6464+⇶⊼⊺⇮7520⪬⊺⇮3407⫔⩽⩺(≻⋜⊺⇮2189)⇄(⊺⇮1537⩏))=NaN","reverse_text":"NaN=(⊗(⊺⇮4931⪨⊡⊺⇮1003⋻⩜⩜(⊺⇮3386≬⋮⊺⇮3809)))+⇶⊼(⊺⇮1193⨚⇆⊺⇮6464+⇶⊼⊺⇮7520⪬⊺⇮3407⫔⩽⩺(≻⋜⊺⇮2189)⇄(⊺⇮1537⩏))","cot":[{"info":"⊺⇮4931⪨⊡⊺⇮1003=⊺⇮0","layer":3},{"info":"⊺⇮3386≬⋮⊺⇮3809=⊺⇮868","layer":3},{"info":"⊺⇮0⋻⩜⩜⊺⇮868=⊺⇮1924","layer":2},{"info":"⊗⊺⇮1924=⊺⇮-3848","layer":1},{"info":"⊺⇮1193⨚⇆⊺⇮6464=NaN","layer":3},{"info":"⊺⇮7520⪬⊺⇮3407=⊺⇮1234","layer":3},{"info":"NaN+⇶⊼⊺⇮1234=NaN","layer":2},{"info":"≻⋜⊺⇮2189=NaN","layer":3},{"info":"⊺⇮1537⩏=⊺⇮0","layer":3},{"info":"NaN⇄⊺⇮0=NaN","layer":2},{"info":"NaN⫔⩽⩺NaN=NaN","layer":1},{"info":"⊺⇮-3848+⇶⊼NaN=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"(($5070$⫽⇹≛)⊔$1234$⨟⋌⩍$2063$∷(($1455$⫠)↱$3578$⨑⩅≇$2475$))⫸⇳(⪝⪂⫅(($4805$⨵⪆$1193$)≳⇉$5227$↹⊜$3342$))","expression":"((⊺⇮5070⫽⇹≛)⊔⊺⇮1234⨟⋌⩍⊺⇮2063∷((⊺⇮1455⫠)↱⊺⇮3578⨑⩅≇⊺⇮2475))⫸⇳(⪝⪂⫅((⊺⇮4805⨵⪆⊺⇮1193)≳⇉⊺⇮5227↹⊜⊺⇮3342))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":169133318,"operation_count":12,"complexity_ratio":14094443.166666666,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":5070,"base":10}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1234,"base":10},"right_expr":{"type":"numeric_atoms","value":2063,"base":10}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1455,"base":10}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3578,"base":10},"right_expr":{"type":"numeric_atoms","value":2475,"base":10}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4805,"base":10},"right_expr":{"type":"numeric_atoms","value":1193,"base":10}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5227,"base":10},"right_expr":{"type":"numeric_atoms","value":3342,"base":10}}}}},"used_operators":["gx7XJ7hdpj","D3AQDKkPcf","E4l6HwMY31","NNaDxxp6OQ","rGHVDoGpnC","SR5kFfdi6N","6SnOT2rOjz","h92wMvzauj","XTarYq4gQB","V0kx6qeWkN","2DQ55sFlQl","9bazX3JMtO"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","Tcnh7f0tEr","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9HNa5Wba9A","8w2t5hMYqp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5070","layer":4},{"info":"compute unary expreesion, input=5070, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=2063, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=272, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"number node, value=1455","layer":4},{"info":"compute unary expreesion, input=1455, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=3578","layer":4},{"info":"number node, value=2475","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=2475, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-10734","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10734, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-70560","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-70560, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=4805","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=4805, right_input=1193, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5227","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=5227, right_input=3342, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-3010","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3010, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5070⫽⇹≛)⊔⊺⇮1234⨟⋌⩍⊺⇮2063∷((⊺⇮1455⫠)↱⊺⇮3578⨑⩅≇⊺⇮2475))⫸⇳(⪝⪂⫅((⊺⇮4805⨵⪆⊺⇮1193)≳⇉⊺⇮5227↹⊜⊺⇮3342))=NaN","reverse_text":"NaN=((⊺⇮5070⫽⇹≛)⊔⊺⇮1234⨟⋌⩍⊺⇮2063∷((⊺⇮1455⫠)↱⊺⇮3578⨑⩅≇⊺⇮2475))⫸⇳(⪝⪂⫅((⊺⇮4805⨵⪆⊺⇮1193)≳⇉⊺⇮5227↹⊜⊺⇮3342))","cot":[{"info":"⊺⇮5070⫽⇹≛=⊺⇮272","layer":3},{"info":"⊺⇮1234⨟⋌⩍⊺⇮2063=NaN","layer":3},{"info":"⊺⇮272⊔NaN=NaN","layer":2},{"info":"⊺⇮1455⫠=⊺⇮0","layer":3},{"info":"⊺⇮3578⨑⩅≇⊺⇮2475=⊺⇮-10734","layer":3},{"info":"⊺⇮0↱⊺⇮-10734=⊺⇮-70560","layer":2},{"info":"NaN∷⊺⇮-70560=NaN","layer":1},{"info":"⊺⇮4805⨵⪆⊺⇮1193=⊺⇮160","layer":3},{"info":"⊺⇮5227↹⊜⊺⇮3342=⊺⇮-3010","layer":3},{"info":"⊺⇮160≳⇉⊺⇮-3010=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN⫸⇳NaN=NaN","layer":0}]}
{"id":662,"expression_no_base_symbol":"(($2670$⩧⪆$3550$)⨂≜($1625$⪄$2435$))⨂≜(≸≮(∮$2302$))∀⊥⇻","expression":"((⊺⇮2670⩧⪆⊺⇮3550)⨂≜(⊺⇮1625⪄⊺⇮2435))⨂≜(≸≮(∮⊺⇮2302))∀⊥⇻","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4102,"operation_count":7,"complexity_ratio":586.0,"tree":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2670,"base":10},"right_expr":{"type":"numeric_atoms","value":3550,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1625,"base":10},"right_expr":{"type":"numeric_atoms","value":2435,"base":10}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2302,"base":10}}}}},"used_operators":["k4iM1060OG","k1SHOSEABc","Ikt5ks8PT7","SUmda5xLS4","AljMvE3RRm","CqXKPLVYql"],"dependent_operators":["QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eewbuw0ToL","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2670","layer":4},{"info":"number node, value=3550","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=3550, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3550","layer":3},{"info":"number node, value=1625","layer":4},{"info":"number node, value=2435","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=2435, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-246329","layer":3},{"info":"compute binary expreesion, left_input=-3550, right_input=-246329, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2302","layer":4},{"info":"compute unary expreesion, input=2302, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=6","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2670⩧⪆⊺⇮3550)⨂≜(⊺⇮1625⪄⊺⇮2435))⨂≜(≸≮(∮⊺⇮2302))∀⊥⇻=NaN","reverse_text":"NaN=((⊺⇮2670⩧⪆⊺⇮3550)⨂≜(⊺⇮1625⪄⊺⇮2435))⨂≜(≸≮(∮⊺⇮2302))∀⊥⇻","cot":[{"info":"⊺⇮2670⩧⪆⊺⇮3550=⊺⇮-3550","layer":3},{"info":"⊺⇮1625⪄⊺⇮2435=⊺⇮-246329","layer":3},{"info":"⊺⇮-3550⨂≜⊺⇮-246329=NaN","layer":2},{"info":"∮⊺⇮2302=⊺⇮67","layer":3},{"info":"≸≮⊺⇮67=⊺⇮6","layer":2},{"info":"NaN⨂≜⊺⇮6=NaN","layer":1},{"info":"NaN∀⊥⇻=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"(($1338$⇴∐$2635$∕⩚$1067$⨚$1600$)⊨((↽≂$1358$)↱($1462$⫚↹⊑$4663$)))⪘⫢(($1030$≌$4527$⇀∌)⊊)","expression":"((⊺⇮1338⇴∐⊺⇮2635∕⩚⊺⇮1067⨚⊺⇮1600)⊨((↽≂⊺⇮1358)↱(⊺⇮1462⫚↹⊑⊺⇮4663)))⪘⫢((⊺⇮1030≌⊺⇮4527⇀∌)⊊)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5100,"operation_count":11,"complexity_ratio":463.6363636363636,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1338,"base":10},"right_expr":{"type":"numeric_atoms","value":2635,"base":10}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1067,"base":10},"right_expr":{"type":"numeric_atoms","value":1600,"base":10}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1358,"base":10}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1462,"base":10},"right_expr":{"type":"numeric_atoms","value":4663,"base":10}}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1030,"base":10},"right_expr":{"type":"numeric_atoms","value":4527,"base":10}}}}},"used_operators":["oacrs7FA3X","vg4gO5BX6G","z9ffQ9n5Zr","HnzytWxmAO","nREPSIbpBE","SR5kFfdi6N","u6S6b8DprG","dfKe02y8D2","W9R8I5fN5A","2k53nXOpI5","lyWz822IDG"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","BjRHVeLaeN","12rbrZMWeM","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1338","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=2635, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1600, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3332","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3332, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2716","layer":3},{"info":"number node, value=1462","layer":4},{"info":"number node, value=4663","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=4663, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-2716, right_input=-447, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=11736","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=11736, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"number node, value=1030","layer":4},{"info":"number node, value=4527","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=4527, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1338⇴∐⊺⇮2635∕⩚⊺⇮1067⨚⊺⇮1600)⊨((↽≂⊺⇮1358)↱(⊺⇮1462⫚↹⊑⊺⇮4663)))⪘⫢((⊺⇮1030≌⊺⇮4527⇀∌)⊊)=NaN","reverse_text":"NaN=((⊺⇮1338⇴∐⊺⇮2635∕⩚⊺⇮1067⨚⊺⇮1600)⊨((↽≂⊺⇮1358)↱(⊺⇮1462⫚↹⊑⊺⇮4663)))⪘⫢((⊺⇮1030≌⊺⇮4527⇀∌)⊊)","cot":[{"info":"⊺⇮1338⇴∐⊺⇮2635=NaN","layer":3},{"info":"⊺⇮1067⨚⊺⇮1600=⊺⇮-3332","layer":3},{"info":"NaN∕⩚⊺⇮-3332=⊺⇮-487","layer":2},{"info":"↽≂⊺⇮1358=⊺⇮-2716","layer":3},{"info":"⊺⇮1462⫚↹⊑⊺⇮4663=⊺⇮-447","layer":3},{"info":"⊺⇮-2716↱⊺⇮-447=⊺⇮11736","layer":2},{"info":"⊺⇮-487⊨⊺⇮11736=⊺⇮-174","layer":1},{"info":"⊺⇮1030≌⊺⇮4527=NaN","layer":3},{"info":"NaN⇀∌=NaN","layer":2},{"info":"NaN⊊=NaN","layer":1},{"info":"⊺⇮-174⪘⫢NaN=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"(⩩((⊖$1267$)⪁$3144$%$3166$))⪬(($2081$∙⊟$4624$)∋($3914$⨒$5916$)↼⊘⨖($2438$⩭)≁↽≥($5951$⫑))","expression":"(⩩((⊖⊺⇮1267)⪁⊺⇮3144%⊺⇮3166))⪬((⊺⇮2081∙⊟⊺⇮4624)∋(⊺⇮3914⨒⊺⇮5916)↼⊘⨖(⊺⇮2438⩭)≁↽≥(⊺⇮5951⫑))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33635,"operation_count":12,"complexity_ratio":2802.9166666666665,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1267,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3144,"base":10},"right_expr":{"type":"numeric_atoms","value":3166,"base":10}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2081,"base":10},"right_expr":{"type":"numeric_atoms","value":4624,"base":10}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3914,"base":10},"right_expr":{"type":"numeric_atoms","value":5916,"base":10}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":2438,"base":10}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":5951,"base":10}}}}},"used_operators":["Ez1Nq5fNfI","kMhfGuqI2H","I7sXao9hZE","U6pG0PXrV3","k8jYdgA6NY","bPywburJMS","ukq6epAj5P","SxTAKzQCrw","y75s1iXyHd","ncHt1X6cMc","yIPP7u6H5x","CgIo77xlM2"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","oWn0xqSxBt","3Oe9XWJUTD","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1267","layer":4},{"info":"compute unary expreesion, input=1267, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=3144","layer":4},{"info":"number node, value=3166","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=3166, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3144","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3144, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=232","layer":1},{"info":"number node, value=2081","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=4624, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=36899","layer":3},{"info":"number node, value=3914","layer":4},{"info":"number node, value=5916","layer":4},{"info":"compute binary expreesion, left_input=3914, right_input=5916, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-23112","layer":3},{"info":"compute binary expreesion, left_input=36899, right_input=-23112, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-202220","layer":2},{"info":"number node, value=2438","layer":4},{"info":"compute unary expreesion, input=2438, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=5951","layer":4},{"info":"compute unary expreesion, input=5951, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-202220, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=232, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":10,"result_base":10,"text":"(⩩((⊖⊺⇮1267)⪁⊺⇮3144%⊺⇮3166))⪬((⊺⇮2081∙⊟⊺⇮4624)∋(⊺⇮3914⨒⊺⇮5916)↼⊘⨖(⊺⇮2438⩭)≁↽≥(⊺⇮5951⫑))=⊺⇮1234","reverse_text":"⊺⇮1234=(⩩((⊖⊺⇮1267)⪁⊺⇮3144%⊺⇮3166))⪬((⊺⇮2081∙⊟⊺⇮4624)∋(⊺⇮3914⨒⊺⇮5916)↼⊘⨖(⊺⇮2438⩭)≁↽≥(⊺⇮5951⫑))","cot":[{"info":"⊖⊺⇮1267=⊺⇮0","layer":3},{"info":"⊺⇮3144%⊺⇮3166=⊺⇮3144","layer":3},{"info":"⊺⇮0⪁⊺⇮3144=⊺⇮0","layer":2},{"info":"⩩⊺⇮0=⊺⇮232","layer":1},{"info":"⊺⇮2081∙⊟⊺⇮4624=⊺⇮36899","layer":3},{"info":"⊺⇮3914⨒⊺⇮5916=⊺⇮-23112","layer":3},{"info":"⊺⇮36899∋⊺⇮-23112=⊺⇮-202220","layer":2},{"info":"⊺⇮2438⩭=NaN","layer":3},{"info":"⊺⇮5951⫑=⊺⇮3979","layer":3},{"info":"NaN≁↽≥⊺⇮3979=NaN","layer":2},{"info":"⊺⇮-202220↼⊘⨖NaN=NaN","layer":1},{"info":"⊺⇮232⪬NaN=⊺⇮1234","layer":0}]}
{"id":665,"expression_no_base_symbol":"((⋠∜$1869$)⪥⨬⪅)⪄$5809$⪚$2818$⪮%⊝($2512$∑⇟⊟$1437$)⋻⩜⩜(($1259$⪇≇⋚$2287$∽$1001$⇴∐$4917$)⪣⫩)","expression":"((⋠∜⊺⇮1869)⪥⨬⪅)⪄⊺⇮5809⪚⊺⇮2818⪮%⊝(⊺⇮2512∑⇟⊟⊺⇮1437)⋻⩜⩜((⊺⇮1259⪇≇⋚⊺⇮2287∽⊺⇮1001⇴∐⊺⇮4917)⪣⫩)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13085,"operation_count":11,"complexity_ratio":1189.5454545454545,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1869,"base":10}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5809,"base":10},"right_expr":{"type":"numeric_atoms","value":2818,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2512,"base":10},"right_expr":{"type":"numeric_atoms","value":1437,"base":10}}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1259,"base":10},"right_expr":{"type":"numeric_atoms","value":2287,"base":10}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":4917,"base":10}}}}},"used_operators":["oDCm7WA9JY","SUmda5xLS4","zNRQejTB5A","ZJpFhNJr3x","IWmyXbctLI","HrjLwUk87U","U7g4x0WXJJ","iuk5sVOGFA","y4ImoPnbV5","3sJ7IOPOlU","HnzytWxmAO"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⊺⇮7958","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=9760","layer":3},{"info":"compute unary expreesion, input=9760, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":2},{"info":"number node, value=5809","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=5809, right_input=2818, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=5626","layer":3},{"info":"number node, value=2512","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=1437, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5626, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1259","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=2287, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=4917","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=4917, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=913, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7958","layer":0}],"base":10,"result_base":10,"text":"((⋠∜⊺⇮1869)⪥⨬⪅)⪄⊺⇮5809⪚⊺⇮2818⪮%⊝(⊺⇮2512∑⇟⊟⊺⇮1437)⋻⩜⩜((⊺⇮1259⪇≇⋚⊺⇮2287∽⊺⇮1001⇴∐⊺⇮4917)⪣⫩)=⊺⇮7958","reverse_text":"⊺⇮7958=((⋠∜⊺⇮1869)⪥⨬⪅)⪄⊺⇮5809⪚⊺⇮2818⪮%⊝(⊺⇮2512∑⇟⊟⊺⇮1437)⋻⩜⩜((⊺⇮1259⪇≇⋚⊺⇮2287∽⊺⇮1001⇴∐⊺⇮4917)⪣⫩)","cot":[{"info":"⋠∜⊺⇮1869=⊺⇮9760","layer":3},{"info":"⊺⇮9760⪥⨬⪅=⊺⇮-473","layer":2},{"info":"⊺⇮5809⪚⊺⇮2818=⊺⇮5626","layer":3},{"info":"⊺⇮2512∑⇟⊟⊺⇮1437=NaN","layer":3},{"info":"⊺⇮5626⪮%⊝NaN=NaN","layer":2},{"info":"⊺⇮-473⪄NaN=⊺⇮3979","layer":1},{"info":"⊺⇮1259⪇≇⋚⊺⇮2287=⊺⇮0","layer":3},{"info":"⊺⇮1001⇴∐⊺⇮4917=NaN","layer":3},{"info":"⊺⇮0∽NaN=NaN","layer":2},{"info":"NaN⪣⫩=⊺⇮913","layer":1},{"info":"⊺⇮3979⋻⩜⩜⊺⇮913=⊺⇮7958","layer":0}]}
{"id":666,"expression_no_base_symbol":"((($1406$⊧↖)+$8322$⪮%⊝$5566$)∝(⇵⪽($5017$⊹∫⫚$2462$)))⩉⊫⨁","expression":"(((⊺⇮1406⊧↖)+⊺⇮8322⪮%⊝⊺⇮5566)∝(⇵⪽(⊺⇮5017⊹∫⫚⊺⇮2462)))⩉⊫⨁","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4211,"operation_count":7,"complexity_ratio":601.5714285714286,"tree":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1406,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8322,"base":10},"right_expr":{"type":"numeric_atoms","value":5566,"base":10}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5017,"base":10},"right_expr":{"type":"numeric_atoms","value":2462,"base":10}}}}},"used_operators":["7qqUquhhSb","cTDWOvIxvz","W4YGzv6Whe","EKiFHuOFxO","IWmyXbctLI","ZGCBLdVRRX","uWAJUKEvyW"],"dependent_operators":["7j4O788W3g","7j4O788W3g","W4YGzv6Whe","COABgblf1C","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","U7g4x0WXJJ","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1406","layer":4},{"info":"compute unary expreesion, input=1406, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=11866580","layer":3},{"info":"number node, value=8322","layer":4},{"info":"number node, value=5566","layer":4},{"info":"compute binary expreesion, left_input=8322, right_input=5566, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16960","layer":3},{"info":"compute binary expreesion, left_input=11866580, right_input=16960, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11883540","layer":2},{"info":"number node, value=5017","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=5017, right_input=2462, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-52","layer":3},{"info":"compute unary expreesion, input=-52, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11883540, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1406⊧↖)+⊺⇮8322⪮%⊝⊺⇮5566)∝(⇵⪽(⊺⇮5017⊹∫⫚⊺⇮2462)))⩉⊫⨁=NaN","reverse_text":"NaN=(((⊺⇮1406⊧↖)+⊺⇮8322⪮%⊝⊺⇮5566)∝(⇵⪽(⊺⇮5017⊹∫⫚⊺⇮2462)))⩉⊫⨁","cot":[{"info":"⊺⇮1406⊧↖=⊺⇮11866580","layer":3},{"info":"⊺⇮8322⪮%⊝⊺⇮5566=⊺⇮16960","layer":3},{"info":"⊺⇮11866580+⊺⇮16960=⊺⇮11883540","layer":2},{"info":"⊺⇮5017⊹∫⫚⊺⇮2462=⊺⇮-52","layer":3},{"info":"⇵⪽⊺⇮-52=NaN","layer":2},{"info":"⊺⇮11883540∝NaN=NaN","layer":1},{"info":"NaN⩉⊫⨁=NaN","layer":0}]}
{"id":667,"expression_no_base_symbol":"↥≼⋛(($7412$⪪$4447$)⩱)∥⊢⊲((⋗⩬⋾$1005$)⩹$4728$≝⊿$2139$)","expression":"↥≼⋛((⊺⇮7412⪪⊺⇮4447)⩱)∥⊢⊲((⋗⩬⋾⊺⇮1005)⩹⊺⇮4728≝⊿⊺⇮2139)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22438,"operation_count":7,"complexity_ratio":3205.4285714285716,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":7412,"base":10},"right_expr":{"type":"numeric_atoms","value":4447,"base":10}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1005,"base":10}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4728,"base":10},"right_expr":{"type":"numeric_atoms","value":2139,"base":10}}}}},"used_operators":["x5lMkHmzsq","v1UQAVDJRr","uyq1hVkAcj","xD69zh8xqp","2Wsdkap16l","DpFCA1CohY","OKKcZfAt5B"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM"],"result":"⊺⇮-113","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7412","layer":4},{"info":"number node, value=4447","layer":4},{"info":"compute binary expreesion, left_input=7412, right_input=4447, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1115301","layer":3},{"info":"compute unary expreesion, input=-1115301, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=6691556","layer":2},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3015","layer":3},{"info":"number node, value=4728","layer":4},{"info":"number node, value=2139","layer":4},{"info":"compute binary expreesion, left_input=4728, right_input=2139, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9539","layer":3},{"info":"compute binary expreesion, left_input=-3015, right_input=-9539, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-9541","layer":2},{"info":"compute binary expreesion, left_input=6691556, right_input=-9541, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":10,"result_base":10,"text":"↥≼⋛((⊺⇮7412⪪⊺⇮4447)⩱)∥⊢⊲((⋗⩬⋾⊺⇮1005)⩹⊺⇮4728≝⊿⊺⇮2139)=⊺⇮-113","reverse_text":"⊺⇮-113=↥≼⋛((⊺⇮7412⪪⊺⇮4447)⩱)∥⊢⊲((⋗⩬⋾⊺⇮1005)⩹⊺⇮4728≝⊿⊺⇮2139)","cot":[{"info":"⊺⇮7412⪪⊺⇮4447=⊺⇮-1115301","layer":3},{"info":"⊺⇮-1115301⩱=⊺⇮6691556","layer":2},{"info":"⋗⩬⋾⊺⇮1005=⊺⇮-3015","layer":3},{"info":"⊺⇮4728≝⊿⊺⇮2139=⊺⇮-9539","layer":3},{"info":"⊺⇮-3015⩹⊺⇮-9539=⊺⇮-9541","layer":2},{"info":"⊺⇮6691556∥⊢⊲⊺⇮-9541=NaN","layer":1},{"info":"↥≼⋛NaN=⊺⇮-113","layer":0}]}
{"id":668,"expression_no_base_symbol":"(($1384$⨂≜$7932$⪓⨏)⋘⨑⨽)≎⊠⪸(($4341$⪚⩙≫)≨($3201$≬⇓$1189$))⫗⊷⫓(($1295$⇔⨋)⨟⋌⩍$6046$⨥⫆$5422$)","expression":"((⊺⇮1384⨂≜⊺⇮7932⪓⨏)⋘⨑⨽)≎⊠⪸((⊺⇮4341⪚⩙≫)≨(⊺⇮3201≬⇓⊺⇮1189))⫗⊷⫓((⊺⇮1295⇔⨋)⨟⋌⩍⊺⇮6046⨥⫆⊺⇮5422)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":89263,"operation_count":11,"complexity_ratio":8114.818181818182,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1384,"base":10},"right_expr":{"type":"numeric_atoms","value":7932,"base":10}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":4341,"base":10}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3201,"base":10},"right_expr":{"type":"numeric_atoms","value":1189,"base":10}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1295,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":6046,"base":10},"right_expr":{"type":"numeric_atoms","value":5422,"base":10}}}}},"used_operators":["bJkvcejdHO","WmT3o8z6ya","4X9JU4Jbn6","k1SHOSEABc","zashukvMKz","0KMCeP1Jsh","4n53wtyJvv","jWTQ2TZYIH","rGHVDoGpnC","uBihLCJcMX","yXekIHxTD4"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Tcnh7f0tEr","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1384","layer":4},{"info":"number node, value=7932","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=7932, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=nan","layer":1},{"info":"number node, value=4341","layer":4},{"info":"compute unary expreesion, input=4341, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"number node, value=3201","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1189, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=1295","layer":4},{"info":"compute unary expreesion, input=1295, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=6700","layer":3},{"info":"number node, value=6046","layer":4},{"info":"number node, value=5422","layer":4},{"info":"compute binary expreesion, left_input=6046, right_input=5422, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=10720","layer":3},{"info":"compute binary expreesion, left_input=6700, right_input=10720, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1384⨂≜⊺⇮7932⪓⨏)⋘⨑⨽)≎⊠⪸((⊺⇮4341⪚⩙≫)≨(⊺⇮3201≬⇓⊺⇮1189))⫗⊷⫓((⊺⇮1295⇔⨋)⨟⋌⩍⊺⇮6046⨥⫆⊺⇮5422)=NaN","reverse_text":"NaN=((⊺⇮1384⨂≜⊺⇮7932⪓⨏)⋘⨑⨽)≎⊠⪸((⊺⇮4341⪚⩙≫)≨(⊺⇮3201≬⇓⊺⇮1189))⫗⊷⫓((⊺⇮1295⇔⨋)⨟⋌⩍⊺⇮6046⨥⫆⊺⇮5422)","cot":[{"info":"⊺⇮1384⨂≜⊺⇮7932=NaN","layer":3},{"info":"NaN⪓⨏=NaN","layer":2},{"info":"NaN⋘⨑⨽=NaN","layer":1},{"info":"⊺⇮4341⪚⩙≫=NaN","layer":3},{"info":"⊺⇮3201≬⇓⊺⇮1189=⊺⇮-22","layer":3},{"info":"NaN≨⊺⇮-22=NaN","layer":2},{"info":"⊺⇮1295⇔⨋=⊺⇮6700","layer":3},{"info":"⊺⇮6046⨥⫆⊺⇮5422=⊺⇮10720","layer":3},{"info":"⊺⇮6700⨟⋌⩍⊺⇮10720=NaN","layer":2},{"info":"NaN⫗⊷⫓NaN=⊺⇮-134","layer":1},{"info":"NaN≎⊠⪸⊺⇮-134=NaN","layer":0}]}
{"id":669,"expression_no_base_symbol":"((∷≠$4011$⇤$2608$)≚⊃≕($3607$⪍↜⋙$4901$)⪥($2573$⋳⪒$2274$))↓(($2680$/$1068$)≃($2215$∷$2729$)⪭≯$1497$∇⊂⋱$3646$⩘(⨮↦↱$2286$))","expression":"((∷≠⊺⇮4011⇤⊺⇮2608)≚⊃≕(⊺⇮3607⪍↜⋙⊺⇮4901)⪥(⊺⇮2573⋳⪒⊺⇮2274))↓((⊺⇮2680/⊺⇮1068)≃(⊺⇮2215∷⊺⇮2729)⪭≯⊺⇮1497∇⊂⋱⊺⇮3646⩘(⨮↦↱⊺⇮2286))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2527,"operation_count":14,"complexity_ratio":180.5,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4011,"base":10},"right_expr":{"type":"numeric_atoms","value":2608,"base":10}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3607,"base":10},"right_expr":{"type":"numeric_atoms","value":4901,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2573,"base":10},"right_expr":{"type":"numeric_atoms","value":2274,"base":10}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2680,"base":10},"right_expr":{"type":"numeric_atoms","value":1068,"base":10}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2215,"base":10},"right_expr":{"type":"numeric_atoms","value":2729,"base":10}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1497,"base":10},"right_expr":{"type":"numeric_atoms","value":3646,"base":10}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2286,"base":10}}}}},"used_operators":["Af076pWI7l","Bmrmz2XGnR","QiR2Oyf5Xj","YSKBFp38Pu","QbnwKVWMIQ","L05ObWFQCd","12rbrZMWeM","XAx5wpdLa6","YbVcJGFEVW","XhwjNDsVaA","D3AQDKkPcf","cHh1gJQ2o6","nhYeJWJD5X","sYcpBQ0cFf"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","7j4O788W3g","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","7j4O788W3g","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4011","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=4011, right_input=2608, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-30247","layer":3},{"info":"compute unary expreesion, input=-30247, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-30247","layer":2},{"info":"number node, value=3607","layer":4},{"info":"number node, value=4901","layer":4},{"info":"compute binary expreesion, left_input=3607, right_input=4901, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-28620","layer":3},{"info":"number node, value=2573","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=2573, right_input=2274, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2585","layer":3},{"info":"compute binary expreesion, left_input=-28620, right_input=2585, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-222116","layer":2},{"info":"compute binary expreesion, left_input=-30247, right_input=-222116, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-565386","layer":1},{"info":"number node, value=2680","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=1068, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=2215","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=2729, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2729","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=2729, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-48","layer":2},{"info":"number node, value=1497","layer":4},{"info":"number node, value=3646","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=3646, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2448","layer":3},{"info":"number node, value=2286","layer":4},{"info":"compute unary expreesion, input=2286, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-9646074","layer":3},{"info":"compute binary expreesion, left_input=2448, right_input=-9646074, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-48, right_input=160, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-565386, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":10,"result_base":10,"text":"((∷≠⊺⇮4011⇤⊺⇮2608)≚⊃≕(⊺⇮3607⪍↜⋙⊺⇮4901)⪥(⊺⇮2573⋳⪒⊺⇮2274))↓((⊺⇮2680/⊺⇮1068)≃(⊺⇮2215∷⊺⇮2729)⪭≯⊺⇮1497∇⊂⋱⊺⇮3646⩘(⨮↦↱⊺⇮2286))=⊺⇮-134","reverse_text":"⊺⇮-134=((∷≠⊺⇮4011⇤⊺⇮2608)≚⊃≕(⊺⇮3607⪍↜⋙⊺⇮4901)⪥(⊺⇮2573⋳⪒⊺⇮2274))↓((⊺⇮2680/⊺⇮1068)≃(⊺⇮2215∷⊺⇮2729)⪭≯⊺⇮1497∇⊂⋱⊺⇮3646⩘(⨮↦↱⊺⇮2286))","cot":[{"info":"⊺⇮4011⇤⊺⇮2608=⊺⇮-30247","layer":3},{"info":"∷≠⊺⇮-30247=⊺⇮-30247","layer":2},{"info":"⊺⇮3607⪍↜⋙⊺⇮4901=⊺⇮-28620","layer":3},{"info":"⊺⇮2573⋳⪒⊺⇮2274=⊺⇮2585","layer":3},{"info":"⊺⇮-28620⪥⊺⇮2585=⊺⇮-222116","layer":2},{"info":"⊺⇮-30247≚⊃≕⊺⇮-222116=⊺⇮-565386","layer":1},{"info":"⊺⇮2680/⊺⇮1068=⊺⇮2","layer":3},{"info":"⊺⇮2215∷⊺⇮2729=⊺⇮2729","layer":3},{"info":"⊺⇮2≃⊺⇮2729=⊺⇮-48","layer":2},{"info":"⊺⇮1497∇⊂⋱⊺⇮3646=⊺⇮2448","layer":3},{"info":"⨮↦↱⊺⇮2286=⊺⇮-9646074","layer":3},{"info":"⊺⇮2448⩘⊺⇮-9646074=⊺⇮160","layer":2},{"info":"⊺⇮-48⪭≯⊺⇮160=NaN","layer":1},{"info":"⊺⇮-565386↓NaN=⊺⇮-134","layer":0}]}
{"id":670,"expression_no_base_symbol":"(⇜⊴$1105$⫸⇳$3463$⩨$1007$≳⇉$5045$)≬⋮($1632$⋣⋖$1253$⪕($2418$≀⩗∶$1685$)≚⋢)","expression":"(⇜⊴⊺⇮1105⫸⇳⊺⇮3463⩨⊺⇮1007≳⇉⊺⇮5045)≬⋮(⊺⇮1632⋣⋖⊺⇮1253⪕(⊺⇮2418≀⩗∶⊺⇮1685)≚⋢)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":366230961,"operation_count":9,"complexity_ratio":40692329.0,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1105,"base":10},"right_expr":{"type":"numeric_atoms","value":3463,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1007,"base":10},"right_expr":{"type":"numeric_atoms","value":5045,"base":10}}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1632,"base":10},"right_expr":{"type":"numeric_atoms","value":1253,"base":10}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2418,"base":10},"right_expr":{"type":"numeric_atoms","value":1685,"base":10}}}}},"used_operators":["kbkesczE7y","XwDhCwWbUn","2DlMacCsIx","gx7XJ7hdpj","V0kx6qeWkN","MahUMFw56D","umQnsF7QlU","J0M6qkBnIM","8INZBEW696"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","3ViojmjbAp","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⊺⇮868","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1105","layer":4},{"info":"number node, value=3463","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=3463, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=5045, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":1},{"info":"number node, value=1632","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=1253, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1632","layer":3},{"info":"number node, value=2418","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1685, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1632, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4165","layer":2},{"info":"compute unary expreesion, input=4165, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-89, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":10,"result_base":10,"text":"(⇜⊴⊺⇮1105⫸⇳⊺⇮3463⩨⊺⇮1007≳⇉⊺⇮5045)≬⋮(⊺⇮1632⋣⋖⊺⇮1253⪕(⊺⇮2418≀⩗∶⊺⇮1685)≚⋢)=⊺⇮868","reverse_text":"⊺⇮868=(⇜⊴⊺⇮1105⫸⇳⊺⇮3463⩨⊺⇮1007≳⇉⊺⇮5045)≬⋮(⊺⇮1632⋣⋖⊺⇮1253⪕(⊺⇮2418≀⩗∶⊺⇮1685)≚⋢)","cot":[{"info":"⊺⇮1105⫸⇳⊺⇮3463=⊺⇮0","layer":3},{"info":"⊺⇮1007≳⇉⊺⇮5045=NaN","layer":3},{"info":"⊺⇮0⩨NaN=NaN","layer":2},{"info":"⇜⊴NaN=NaN","layer":1},{"info":"⊺⇮1632⋣⋖⊺⇮1253=⊺⇮1632","layer":3},{"info":"⊺⇮2418≀⩗∶⊺⇮1685=⊺⇮0","layer":3},{"info":"⊺⇮1632⪕⊺⇮0=⊺⇮4165","layer":2},{"info":"⊺⇮4165≚⋢=⊺⇮-89","layer":1},{"info":"NaN≬⋮⊺⇮-89=⊺⇮868","layer":0}]}
{"id":671,"expression_no_base_symbol":"⪫⨮⊛((⨵≀≌$1536$)∣($6870$∸)≥⨤⩑($2696$↬$4168$⫦⪉($3640$↸$3845$)))","expression":"⪫⨮⊛((⨵≀≌⊺⇮1536)∣(⊺⇮6870∸)≥⨤⩑(⊺⇮2696↬⊺⇮4168⫦⪉(⊺⇮3640↸⊺⇮3845)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3865,"operation_count":8,"complexity_ratio":483.125,"tree":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1536,"base":10}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":6870,"base":10}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2696,"base":10},"right_expr":{"type":"numeric_atoms","value":4168,"base":10}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3640,"base":10},"right_expr":{"type":"numeric_atoms","value":3845,"base":10}}}}},"used_operators":["w5FWba1tyO","gJLn6v0xnP","PPChnnnBFF","srAu1WTS94","o20kRiQErp","wscyQdcy20","B5M0gjZbta","1eCjFl0mb9"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rGHVDoGpnC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1536","layer":4},{"info":"compute unary expreesion, input=1536, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4608","layer":3},{"info":"number node, value=6870","layer":4},{"info":"compute unary expreesion, input=6870, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-4608, right_input=177, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5092","layer":2},{"info":"number node, value=2696","layer":4},{"info":"number node, value=4168","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=4168, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3640","layer":4},{"info":"number node, value=3845","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=3845, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3640","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3640, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5092, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"⪫⨮⊛((⨵≀≌⊺⇮1536)∣(⊺⇮6870∸)≥⨤⩑(⊺⇮2696↬⊺⇮4168⫦⪉(⊺⇮3640↸⊺⇮3845)))=⊺⇮1234","reverse_text":"⊺⇮1234=⪫⨮⊛((⨵≀≌⊺⇮1536)∣(⊺⇮6870∸)≥⨤⩑(⊺⇮2696↬⊺⇮4168⫦⪉(⊺⇮3640↸⊺⇮3845)))","cot":[{"info":"⨵≀≌⊺⇮1536=⊺⇮-4608","layer":3},{"info":"⊺⇮6870∸=⊺⇮177","layer":3},{"info":"⊺⇮-4608∣⊺⇮177=⊺⇮5092","layer":2},{"info":"⊺⇮2696↬⊺⇮4168=NaN","layer":3},{"info":"⊺⇮3640↸⊺⇮3845=⊺⇮3640","layer":3},{"info":"NaN⫦⪉⊺⇮3640=NaN","layer":2},{"info":"⊺⇮5092≥⨤⩑NaN=⊺⇮1234","layer":1},{"info":"⪫⨮⊛⊺⇮1234=⊺⇮1234","layer":0}]}
{"id":672,"expression_no_base_symbol":"($1049$⪛⫼$2836$⊭↱$1482$⪨⊡$2949$)⋳⪒((⨝⨆$1098$)⇋≉)≋⫹","expression":"(⊺⇮1049⪛⫼⊺⇮2836⊭↱⊺⇮1482⪨⊡⊺⇮2949)⋳⪒((⨝⨆⊺⇮1098)⇋≉)≋⫹","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":133,"operation_count":7,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1049,"base":10},"right_expr":{"type":"numeric_atoms","value":2836,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1482,"base":10},"right_expr":{"type":"numeric_atoms","value":2949,"base":10}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1098,"base":10}}}}},"used_operators":["N41Kp7NANJ","12rbrZMWeM","COABgblf1C","hyuBjUqXlG","kuIXHzHcAH","XIabStNQrY","bQ67fsrMVf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV"],"result":"⊺⇮11658","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=2836, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1482","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=2949, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1931","layer":2},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=889","layer":3},{"info":"compute unary expreesion, input=889, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1680","layer":2},{"info":"compute binary expreesion, left_input=-1931, right_input=1680, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5829","layer":1},{"info":"compute unary expreesion, input=-5829, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=11658","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1049⪛⫼⊺⇮2836⊭↱⊺⇮1482⪨⊡⊺⇮2949)⋳⪒((⨝⨆⊺⇮1098)⇋≉)≋⫹=⊺⇮11658","reverse_text":"⊺⇮11658=(⊺⇮1049⪛⫼⊺⇮2836⊭↱⊺⇮1482⪨⊡⊺⇮2949)⋳⪒((⨝⨆⊺⇮1098)⇋≉)≋⫹","cot":[{"info":"⊺⇮1049⪛⫼⊺⇮2836=⊺⇮968","layer":3},{"info":"⊺⇮1482⪨⊡⊺⇮2949=⊺⇮0","layer":3},{"info":"⊺⇮968⊭↱⊺⇮0=⊺⇮-1931","layer":2},{"info":"⨝⨆⊺⇮1098=⊺⇮889","layer":3},{"info":"⊺⇮889⇋≉=⊺⇮1680","layer":2},{"info":"⊺⇮-1931⋳⪒⊺⇮1680=⊺⇮-5829","layer":1},{"info":"⊺⇮-5829≋⫹=⊺⇮11658","layer":0}]}
{"id":673,"expression_no_base_symbol":"≉(($2936$⫑%∭)⩎⪣⊞)≎⊠⪸($4425$⫚↹⊑$3837$)⩦($3700$≃$1242$)","expression":"≉((⊺⇮2936⫑%∭)⩎⪣⊞)≎⊠⪸(⊺⇮4425⫚↹⊑⊺⇮3837)⩦(⊺⇮3700≃⊺⇮1242)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1040,"operation_count":7,"complexity_ratio":148.57142857142858,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":2936,"base":10}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4425,"base":10},"right_expr":{"type":"numeric_atoms","value":3837,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3700,"base":10},"right_expr":{"type":"numeric_atoms","value":1242,"base":10}}}}},"used_operators":["e1ybzncUwg","bJkvcejdHO","waWucp1uQ4","xUx7qlDO4z","0kmYd0q39Y","dfKe02y8D2","YbVcJGFEVW"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","mp7IySMOzn","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2936","layer":4},{"info":"compute unary expreesion, input=2936, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"number node, value=4425","layer":4},{"info":"number node, value=3837","layer":4},{"info":"compute binary expreesion, left_input=4425, right_input=3837, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=3700","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=3700, right_input=1242, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-14840","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-14840, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=53927","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=53927, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"≉((⊺⇮2936⫑%∭)⩎⪣⊞)≎⊠⪸(⊺⇮4425⫚↹⊑⊺⇮3837)⩦(⊺⇮3700≃⊺⇮1242)=NaN","reverse_text":"NaN=≉((⊺⇮2936⫑%∭)⩎⪣⊞)≎⊠⪸(⊺⇮4425⫚↹⊑⊺⇮3837)⩦(⊺⇮3700≃⊺⇮1242)","cot":[{"info":"⊺⇮2936⫑%∭=NaN","layer":3},{"info":"NaN⩎⪣⊞=NaN","layer":2},{"info":"⊺⇮4425⫚↹⊑⊺⇮3837=⊺⇮-447","layer":3},{"info":"⊺⇮3700≃⊺⇮1242=⊺⇮-14840","layer":3},{"info":"⊺⇮-447⩦⊺⇮-14840=⊺⇮53927","layer":2},{"info":"NaN≎⊠⪸⊺⇮53927=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":674,"expression_no_base_symbol":"(⩷(($1481$-$1491$)⨐⩸⫘$2005$∝$3110$))⨭⪣((⇨($1307$∷$2940$))⨭⪣(⩒∊($6456$⩒⫫$2695$)))","expression":"(⩷((⊺⇮1481-⊺⇮1491)⨐⩸⫘⊺⇮2005∝⊺⇮3110))⨭⪣((⇨(⊺⇮1307∷⊺⇮2940))⨭⪣(⩒∊(⊺⇮6456⩒⫫⊺⇮2695)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":137,"operation_count":10,"complexity_ratio":13.7,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1481,"base":10},"right_expr":{"type":"numeric_atoms","value":1491,"base":10}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2005,"base":10},"right_expr":{"type":"numeric_atoms","value":3110,"base":10}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1307,"base":10},"right_expr":{"type":"numeric_atoms","value":2940,"base":10}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":6456,"base":10},"right_expr":{"type":"numeric_atoms","value":2695,"base":10}}}}},"used_operators":["kn8WO9XteQ","1h0rLqGiFr","fu6greOZ01","rysDP5nf3Z","cTDWOvIxvz","G9tJMlZ94a","D3AQDKkPcf","qazvmhNBbN","KFSx94NKJn"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","3ViojmjbAp","7j4O788W3g","W4YGzv6Whe","COABgblf1C","k8jYdgA6NY","9FxExcQeMw","NTOWxs364D","7j4O788W3g","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1481","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1491, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-10","layer":3},{"info":"number node, value=2005","layer":4},{"info":"number node, value=3110","layer":4},{"info":"compute binary expreesion, left_input=2005, right_input=3110, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2010","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=2010, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1307","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=2940, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2940","layer":3},{"info":"compute unary expreesion, input=2940, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=6456","layer":4},{"info":"number node, value=2695","layer":4},{"info":"compute binary expreesion, left_input=6456, right_input=2695, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=6154","layer":3},{"info":"compute unary expreesion, input=6154, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=11551","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=11551, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-322, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩷((⊺⇮1481-⊺⇮1491)⨐⩸⫘⊺⇮2005∝⊺⇮3110))⨭⪣((⇨(⊺⇮1307∷⊺⇮2940))⨭⪣(⩒∊(⊺⇮6456⩒⫫⊺⇮2695)))=NaN","reverse_text":"NaN=(⩷((⊺⇮1481-⊺⇮1491)⨐⩸⫘⊺⇮2005∝⊺⇮3110))⨭⪣((⇨(⊺⇮1307∷⊺⇮2940))⨭⪣(⩒∊(⊺⇮6456⩒⫫⊺⇮2695)))","cot":[{"info":"⊺⇮1481-⊺⇮1491=⊺⇮-10","layer":3},{"info":"⊺⇮2005∝⊺⇮3110=⊺⇮2010","layer":3},{"info":"⊺⇮-10⨐⩸⫘⊺⇮2010=NaN","layer":2},{"info":"⩷NaN=NaN","layer":1},{"info":"⊺⇮1307∷⊺⇮2940=⊺⇮2940","layer":3},{"info":"⇨⊺⇮2940=⊺⇮0","layer":2},{"info":"⊺⇮6456⩒⫫⊺⇮2695=⊺⇮6154","layer":3},{"info":"⩒∊⊺⇮6154=⊺⇮11551","layer":2},{"info":"⊺⇮0⨭⪣⊺⇮11551=⊺⇮-322","layer":1},{"info":"NaN⨭⪣⊺⇮-322=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"(($4658$⩷∴$7831$)⨼⩣($1509$∀⇚≩$7793$)⪥($4259$⊮⊟↴$7371$⊔$2280$⋛$1338$))∴(((↡$1221$)⨝⩣∺)⩍⋽⫝̸($5305$⩁⩘$5396$⇄(⫯$3769$)))","expression":"((⊺⇮4658⩷∴⊺⇮7831)⨼⩣(⊺⇮1509∀⇚≩⊺⇮7793)⪥(⊺⇮4259⊮⊟↴⊺⇮7371⊔⊺⇮2280⋛⊺⇮1338))∴(((↡⊺⇮1221)⨝⩣∺)⩍⋽⫝̸(⊺⇮5305⩁⩘⊺⇮5396⇄(⫯⊺⇮3769)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11383,"operation_count":14,"complexity_ratio":813.0714285714286,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4658,"base":10},"right_expr":{"type":"numeric_atoms","value":7831,"base":10}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1509,"base":10},"right_expr":{"type":"numeric_atoms","value":7793,"base":10}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4259,"base":10},"right_expr":{"type":"numeric_atoms","value":7371,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2280,"base":10},"right_expr":{"type":"numeric_atoms","value":1338,"base":10}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1221,"base":10}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5305,"base":10},"right_expr":{"type":"numeric_atoms","value":5396,"base":10}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":3769,"base":10}}}}},"used_operators":["hrf7POJlIJ","QbnwKVWMIQ","JxwMv5le6e","9FxExcQeMw","LRNGc0VcxI","E4l6HwMY31","QDVgd2eftb","YbUVn0Rbpy","BiWNJpBvwn","ancx8kZcWl","MXaNJeIAZ3","3EYGwJThht","gub5Cegaqo","H6BK1Evt7c"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Ph9nP6C5qx","xUOZtlo3hN","DZ8iAZOCBD","t8gj7n24qd","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DpFCA1CohY","IWmyXbctLI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"⊺⇮1416","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4658","layer":4},{"info":"number node, value=7831","layer":4},{"info":"compute binary expreesion, left_input=4658, right_input=7831, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6378","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=7793","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=7793, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6378, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=4259","layer":4},{"info":"number node, value=7371","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=7371, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2280","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=2280, right_input=1338, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-111672","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-111672, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-35","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-35, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"number node, value=1221","layer":4},{"info":"compute unary expreesion, input=1221, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=10989","layer":3},{"info":"compute unary expreesion, input=10989, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-21978","layer":2},{"info":"number node, value=5305","layer":4},{"info":"number node, value=5396","layer":4},{"info":"compute binary expreesion, left_input=5305, right_input=5396, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=22532","layer":3},{"info":"number node, value=3769","layer":4},{"info":"compute unary expreesion, input=3769, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-143510","layer":3},{"info":"compute binary expreesion, left_input=22532, right_input=-143510, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21978, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=-209, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1416","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4658⩷∴⊺⇮7831)⨼⩣(⊺⇮1509∀⇚≩⊺⇮7793)⪥(⊺⇮4259⊮⊟↴⊺⇮7371⊔⊺⇮2280⋛⊺⇮1338))∴(((↡⊺⇮1221)⨝⩣∺)⩍⋽⫝̸(⊺⇮5305⩁⩘⊺⇮5396⇄(⫯⊺⇮3769)))=⊺⇮1416","reverse_text":"⊺⇮1416=((⊺⇮4658⩷∴⊺⇮7831)⨼⩣(⊺⇮1509∀⇚≩⊺⇮7793)⪥(⊺⇮4259⊮⊟↴⊺⇮7371⊔⊺⇮2280⋛⊺⇮1338))∴(((↡⊺⇮1221)⨝⩣∺)⩍⋽⫝̸(⊺⇮5305⩁⩘⊺⇮5396⇄(⫯⊺⇮3769)))","cot":[{"info":"⊺⇮4658⩷∴⊺⇮7831=⊺⇮-6378","layer":3},{"info":"⊺⇮1509∀⇚≩⊺⇮7793=NaN","layer":3},{"info":"⊺⇮-6378⨼⩣NaN=NaN","layer":2},{"info":"⊺⇮4259⊮⊟↴⊺⇮7371=⊺⇮0","layer":3},{"info":"⊺⇮2280⋛⊺⇮1338=⊺⇮-111672","layer":3},{"info":"⊺⇮0⊔⊺⇮-111672=⊺⇮-35","layer":2},{"info":"NaN⪥⊺⇮-35=⊺⇮-116","layer":1},{"info":"↡⊺⇮1221=⊺⇮10989","layer":3},{"info":"⊺⇮10989⨝⩣∺=⊺⇮-21978","layer":2},{"info":"⊺⇮5305⩁⩘⊺⇮5396=⊺⇮22532","layer":3},{"info":"⫯⊺⇮3769=⊺⇮-143510","layer":3},{"info":"⊺⇮22532⇄⊺⇮-143510=⊺⇮0","layer":2},{"info":"⊺⇮-21978⩍⋽⫝̸⊺⇮0=⊺⇮-209","layer":1},{"info":"⊺⇮-116∴⊺⇮-209=⊺⇮1416","layer":0}]}
{"id":676,"expression_no_base_symbol":"⇘((⊽$3790$)⪶≀⋏($3656$⊨$1329$)↡⊰⫅($2411$⪛⫼$2051$)⪒⊣⊆($1400$⫡⨏$6725$))","expression":"⇘((⊽⊺⇮3790)⪶≀⋏(⊺⇮3656⊨⊺⇮1329)↡⊰⫅(⊺⇮2411⪛⫼⊺⇮2051)⪒⊣⊆(⊺⇮1400⫡⨏⊺⇮6725))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35075,"operation_count":8,"complexity_ratio":4384.375,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":3790,"base":10}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3656,"base":10},"right_expr":{"type":"numeric_atoms","value":1329,"base":10}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2411,"base":10},"right_expr":{"type":"numeric_atoms","value":2051,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1400,"base":10},"right_expr":{"type":"numeric_atoms","value":6725,"base":10}}}}},"used_operators":["MGuIdZPyUC","VCtxkLNOzz","zR4jO40bMj","QxG7OkqoLX","vg4gO5BX6G","eRqsBgTDFp","hyuBjUqXlG","QMFrweE19q"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","sdazOOVcIp","W4YGzv6Whe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮226702","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3790","layer":4},{"info":"compute unary expreesion, input=3790, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=9102","layer":3},{"info":"number node, value=3656","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=1329, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=15655","layer":3},{"info":"compute binary expreesion, left_input=9102, right_input=15655, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-58848","layer":2},{"info":"number node, value=2411","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=2051, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1400","layer":4},{"info":"number node, value=6725","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=6725, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21233","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=21233, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=1936","layer":2},{"info":"compute binary expreesion, left_input=-58848, right_input=1936, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3872","layer":1},{"info":"compute unary expreesion, input=3872, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=226702","layer":0}],"base":10,"result_base":10,"text":"⇘((⊽⊺⇮3790)⪶≀⋏(⊺⇮3656⊨⊺⇮1329)↡⊰⫅(⊺⇮2411⪛⫼⊺⇮2051)⪒⊣⊆(⊺⇮1400⫡⨏⊺⇮6725))=⊺⇮226702","reverse_text":"⊺⇮226702=⇘((⊽⊺⇮3790)⪶≀⋏(⊺⇮3656⊨⊺⇮1329)↡⊰⫅(⊺⇮2411⪛⫼⊺⇮2051)⪒⊣⊆(⊺⇮1400⫡⨏⊺⇮6725))","cot":[{"info":"⊽⊺⇮3790=⊺⇮9102","layer":3},{"info":"⊺⇮3656⊨⊺⇮1329=⊺⇮15655","layer":3},{"info":"⊺⇮9102⪶≀⋏⊺⇮15655=⊺⇮-58848","layer":2},{"info":"⊺⇮2411⪛⫼⊺⇮2051=⊺⇮968","layer":3},{"info":"⊺⇮1400⫡⨏⊺⇮6725=⊺⇮21233","layer":3},{"info":"⊺⇮968⪒⊣⊆⊺⇮21233=⊺⇮1936","layer":2},{"info":"⊺⇮-58848↡⊰⫅⊺⇮1936=⊺⇮3872","layer":1},{"info":"⇘⊺⇮3872=⊺⇮226702","layer":0}]}
{"id":677,"expression_no_base_symbol":"((⩷$3640$↞⋁$2502$)≚⊃≕($5949$≦↸$1778$∙∹∝$6296$≬⇓$4273$))⪬(($1009$⨐⩸⫘$1545$⪨≂$1497$⩷∴$2177$)⇻⋧≁($4779$⩼⇪↪$1661$≧⫂∧(⊁⨺$1802$)))","expression":"((⩷⊺⇮3640↞⋁⊺⇮2502)≚⊃≕(⊺⇮5949≦↸⊺⇮1778∙∹∝⊺⇮6296≬⇓⊺⇮4273))⪬((⊺⇮1009⨐⩸⫘⊺⇮1545⪨≂⊺⇮1497⩷∴⊺⇮2177)⇻⋧≁(⊺⇮4779⩼⇪↪⊺⇮1661≧⫂∧(⊁⨺⊺⇮1802)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1022,"operation_count":14,"complexity_ratio":73.0,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3640,"base":10},"right_expr":{"type":"numeric_atoms","value":2502,"base":10}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5949,"base":10},"right_expr":{"type":"numeric_atoms","value":1778,"base":10}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":6296,"base":10},"right_expr":{"type":"numeric_atoms","value":4273,"base":10}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1009,"base":10},"right_expr":{"type":"numeric_atoms","value":1545,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1497,"base":10},"right_expr":{"type":"numeric_atoms","value":2177,"base":10}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4779,"base":10},"right_expr":{"type":"numeric_atoms","value":1661,"base":10}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1802,"base":10}}}}},"used_operators":["Ez1Nq5fNfI","Bmrmz2XGnR","1h0rLqGiFr","RqrPlJkxDo","HmxsFra2vL","RygbFNSyEJ","jWTQ2TZYIH","jCPkEVoL5K","sdazOOVcIp","fu6greOZ01","9FxExcQeMw","Ph9nP6C5qx","ocnLzx9CaJ","PxiHyQbrIp"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3640","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=2502, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":2},{"info":"number node, value=5949","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=5949, right_input=1778, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14773","layer":3},{"info":"number node, value=6296","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=6296, right_input=4273, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-14773, right_input=-22, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1545, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1497","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=2177, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1392","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1392, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=4779","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=4779, right_input=1661, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-2852","layer":3},{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-2852, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-313, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":10,"result_base":10,"text":"((⩷⊺⇮3640↞⋁⊺⇮2502)≚⊃≕(⊺⇮5949≦↸⊺⇮1778∙∹∝⊺⇮6296≬⇓⊺⇮4273))⪬((⊺⇮1009⨐⩸⫘⊺⇮1545⪨≂⊺⇮1497⩷∴⊺⇮2177)⇻⋧≁(⊺⇮4779⩼⇪↪⊺⇮1661≧⫂∧(⊁⨺⊺⇮1802)))=⊺⇮1234","reverse_text":"⊺⇮1234=((⩷⊺⇮3640↞⋁⊺⇮2502)≚⊃≕(⊺⇮5949≦↸⊺⇮1778∙∹∝⊺⇮6296≬⇓⊺⇮4273))⪬((⊺⇮1009⨐⩸⫘⊺⇮1545⪨≂⊺⇮1497⩷∴⊺⇮2177)⇻⋧≁(⊺⇮4779⩼⇪↪⊺⇮1661≧⫂∧(⊁⨺⊺⇮1802)))","cot":[{"info":"⊺⇮3640↞⋁⊺⇮2502=NaN","layer":3},{"info":"⩷NaN=NaN","layer":2},{"info":"⊺⇮5949≦↸⊺⇮1778=⊺⇮-14773","layer":3},{"info":"⊺⇮6296≬⇓⊺⇮4273=⊺⇮-22","layer":3},{"info":"⊺⇮-14773∙∹∝⊺⇮-22=⊺⇮0","layer":2},{"info":"NaN≚⊃≕⊺⇮0=⊺⇮67","layer":1},{"info":"⊺⇮1009⨐⩸⫘⊺⇮1545=NaN","layer":3},{"info":"⊺⇮1497⩷∴⊺⇮2177=⊺⇮-1392","layer":3},{"info":"NaN⪨≂⊺⇮-1392=NaN","layer":2},{"info":"⊺⇮4779⩼⇪↪⊺⇮1661=⊺⇮-2852","layer":3},{"info":"⊁⨺⊺⇮1802=⊺⇮160","layer":3},{"info":"⊺⇮-2852≧⫂∧⊺⇮160=⊺⇮-313","layer":2},{"info":"NaN⇻⋧≁⊺⇮-313=⊺⇮0","layer":1},{"info":"⊺⇮67⪬⊺⇮0=⊺⇮1234","layer":0}]}
{"id":678,"expression_no_base_symbol":"(($3701$⋥⋵⩄$2248$⩠)∽(≘($3793$⪔$1245$)))⫰⋱((⊈$3546$)⩒⫫$1849$⩼⇪↪$2037$)⨓((⫯$1612$)⇣⩺⋵(↞≼$1276$))","expression":"((⊺⇮3701⋥⋵⩄⊺⇮2248⩠)∽(≘(⊺⇮3793⪔⊺⇮1245)))⫰⋱((⊈⊺⇮3546)⩒⫫⊺⇮1849⩼⇪↪⊺⇮2037)⨓((⫯⊺⇮1612)⇣⩺⋵(↞≼⊺⇮1276))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":232941,"operation_count":13,"complexity_ratio":17918.53846153846,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3701,"base":10},"right_expr":{"type":"numeric_atoms","value":2248,"base":10}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3793,"base":10},"right_expr":{"type":"numeric_atoms","value":1245,"base":10}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3546,"base":10}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1849,"base":10},"right_expr":{"type":"numeric_atoms","value":2037,"base":10}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1612,"base":10}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1276,"base":10}}}}},"used_operators":["6o9Blt3TJ6","y4ImoPnbV5","sJAwomhLZr","7t3wd0Fuz7","tcjXMdvYtA","GjBEYRfMaF","3ViojmjbAp","KFSx94NKJn","RHru8klgy8","ocnLzx9CaJ","F4yD0voBRQ","H6BK1Evt7c","DE7zCoGJt9"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","12rbrZMWeM","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"⊺⇮2977742","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3701","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=3701, right_input=2248, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-243","layer":2},{"info":"number node, value=3793","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=3793, right_input=1245, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=993034","layer":2},{"info":"compute binary expreesion, left_input=-243, right_input=993034, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-2977709","layer":1},{"info":"number node, value=3546","layer":4},{"info":"compute unary expreesion, input=3546, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3720","layer":3},{"info":"number node, value=1849","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=2037, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-11344","layer":3},{"info":"compute binary expreesion, left_input=-3720, right_input=-11344, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=1612","layer":4},{"info":"compute unary expreesion, input=1612, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-52916","layer":3},{"info":"number node, value=1276","layer":4},{"info":"compute unary expreesion, input=1276, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=9794","layer":3},{"info":"compute binary expreesion, left_input=-52916, right_input=9794, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-231190","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-231190, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=231187","layer":1},{"info":"compute binary expreesion, left_input=-2977709, right_input=231187, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=2977742","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3701⋥⋵⩄⊺⇮2248⩠)∽(≘(⊺⇮3793⪔⊺⇮1245)))⫰⋱((⊈⊺⇮3546)⩒⫫⊺⇮1849⩼⇪↪⊺⇮2037)⨓((⫯⊺⇮1612)⇣⩺⋵(↞≼⊺⇮1276))=⊺⇮2977742","reverse_text":"⊺⇮2977742=((⊺⇮3701⋥⋵⩄⊺⇮2248⩠)∽(≘(⊺⇮3793⪔⊺⇮1245)))⫰⋱((⊈⊺⇮3546)⩒⫫⊺⇮1849⩼⇪↪⊺⇮2037)⨓((⫯⊺⇮1612)⇣⩺⋵(↞≼⊺⇮1276))","cot":[{"info":"⊺⇮3701⋥⋵⩄⊺⇮2248=⊺⇮113","layer":3},{"info":"⊺⇮113⩠=⊺⇮-243","layer":2},{"info":"⊺⇮3793⪔⊺⇮1245=⊺⇮450","layer":3},{"info":"≘⊺⇮450=⊺⇮993034","layer":2},{"info":"⊺⇮-243∽⊺⇮993034=⊺⇮-2977709","layer":1},{"info":"⊈⊺⇮3546=⊺⇮-3720","layer":3},{"info":"⊺⇮1849⩼⇪↪⊺⇮2037=⊺⇮-11344","layer":3},{"info":"⊺⇮-3720⩒⫫⊺⇮-11344=⊺⇮160","layer":2},{"info":"⫯⊺⇮1612=⊺⇮-52916","layer":3},{"info":"↞≼⊺⇮1276=⊺⇮9794","layer":3},{"info":"⊺⇮-52916⇣⩺⋵⊺⇮9794=⊺⇮-231190","layer":2},{"info":"⊺⇮160⨓⊺⇮-231190=⊺⇮231187","layer":1},{"info":"⊺⇮-2977709⫰⋱⊺⇮231187=⊺⇮2977742","layer":0}]}
{"id":679,"expression_no_base_symbol":"⇜((⋠∜(⫡⇟⇯$3830$))∀⋜↑)","expression":"⇜((⋠∜(⫡⇟⇯⊺⇮3830))∀⋜↑)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1454,"operation_count":4,"complexity_ratio":363.5,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":3830,"base":10}}}}},"used_operators":["lFBm8KRb8F","KipPnG1M2J","ZJpFhNJr3x","qWUSsah53b"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","DZ8iAZOCBD","P8v4zCKN1o"],"result":"⊺⇮232","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3830","layer":4},{"info":"compute unary expreesion, input=3830, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=8528","layer":3},{"info":"compute unary expreesion, input=8528, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=36396","layer":2},{"info":"compute unary expreesion, input=36396, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"compute unary expreesion, input=-484, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":0}],"base":10,"result_base":10,"text":"⇜((⋠∜(⫡⇟⇯⊺⇮3830))∀⋜↑)=⊺⇮232","reverse_text":"⊺⇮232=⇜((⋠∜(⫡⇟⇯⊺⇮3830))∀⋜↑)","cot":[{"info":"⫡⇟⇯⊺⇮3830=⊺⇮8528","layer":3},{"info":"⋠∜⊺⇮8528=⊺⇮36396","layer":2},{"info":"⊺⇮36396∀⋜↑=⊺⇮-484","layer":1},{"info":"⇜⊺⇮-484=⊺⇮232","layer":0}]}
{"id":680,"expression_no_base_symbol":"↣≠⋷((($7868$⪉⨛$1834$)⊧↖)↬(($8814$⪛⫼$1014$)⨽$1073$⪝$6700$))","expression":"↣≠⋷(((⊺⇮7868⪉⨛⊺⇮1834)⊧↖)↬((⊺⇮8814⪛⫼⊺⇮1014)⨽⊺⇮1073⪝⊺⇮6700))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23702,"operation_count":7,"complexity_ratio":3386.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":7868,"base":10},"right_expr":{"type":"numeric_atoms","value":1834,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":8814,"base":10},"right_expr":{"type":"numeric_atoms","value":1014,"base":10}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1073,"base":10},"right_expr":{"type":"numeric_atoms","value":6700,"base":10}}}}},"used_operators":["Asc51vEJeQ","B5M0gjZbta","EKiFHuOFxO","EWw2JM7wp4","8HhzD0ZcuI","hyuBjUqXlG","wicAB68Tmb"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7868","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=7868, right_input=1834, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=21985","layer":3},{"info":"compute unary expreesion, input=21985, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=inf","layer":2},{"info":"number node, value=8814","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=8814, right_input=1014, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=6700","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=6700, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=237, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2810469","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-2810469, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↣≠⋷(((⊺⇮7868⪉⨛⊺⇮1834)⊧↖)↬((⊺⇮8814⪛⫼⊺⇮1014)⨽⊺⇮1073⪝⊺⇮6700))=NaN","reverse_text":"NaN=↣≠⋷(((⊺⇮7868⪉⨛⊺⇮1834)⊧↖)↬((⊺⇮8814⪛⫼⊺⇮1014)⨽⊺⇮1073⪝⊺⇮6700))","cot":[{"info":"⊺⇮7868⪉⨛⊺⇮1834=⊺⇮21985","layer":3},{"info":"⊺⇮21985⊧↖=Inf","layer":2},{"info":"⊺⇮8814⪛⫼⊺⇮1014=⊺⇮968","layer":3},{"info":"⊺⇮1073⪝⊺⇮6700=⊺⇮237","layer":3},{"info":"⊺⇮968⨽⊺⇮237=⊺⇮-2810469","layer":2},{"info":"Inf↬⊺⇮-2810469=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":681,"expression_no_base_symbol":"((↯⪼$1541$⊮⊟↴$1362$)⨎(⋗⩬⋾$4444$)≎⊠⪸$6186$⇌⫙⪟$1251$)↓(($1462$⫲≸⪮$2006$)≀⫉$1071$≹⇙⪍$3897$)↓($2968$≴⪞⇿$2947$⨳⩥⨓(⊀$3298$))","expression":"((↯⪼⊺⇮1541⊮⊟↴⊺⇮1362)⨎(⋗⩬⋾⊺⇮4444)≎⊠⪸⊺⇮6186⇌⫙⪟⊺⇮1251)↓((⊺⇮1462⫲≸⪮⊺⇮2006)≀⫉⊺⇮1071≹⇙⪍⊺⇮3897)↓(⊺⇮2968≴⪞⇿⊺⇮2947⨳⩥⨓(⊀⊺⇮3298))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7162,"operation_count":14,"complexity_ratio":511.57142857142856,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1541,"base":10},"right_expr":{"type":"numeric_atoms","value":1362,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4444,"base":10}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":6186,"base":10},"right_expr":{"type":"numeric_atoms","value":1251,"base":10}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1462,"base":10},"right_expr":{"type":"numeric_atoms","value":2006,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1071,"base":10},"right_expr":{"type":"numeric_atoms","value":3897,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2968,"base":10},"right_expr":{"type":"numeric_atoms","value":2947,"base":10}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3298,"base":10}}}}},"used_operators":["Af076pWI7l","rJVOvQCfKK","8jW3W4yZS5","QDVgd2eftb","bJkvcejdHO","DpFCA1CohY","AFVx7xoS7T","oZj3VtZNQx","P3lXMJvFrc","AHs5Up7iyr","nCS4ZIUYfx","lvlrscuwVU","oPMjh9089D"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1541","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=1362, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=4444","layer":4},{"info":"compute unary expreesion, input=4444, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13332","layer":3},{"info":"number node, value=6186","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=6186, right_input=1251, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-13332, right_input=113, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3452988","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=3452988, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3452988","layer":1},{"info":"number node, value=1462","layer":4},{"info":"number node, value=2006","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=2006, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1462","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=3897","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3897, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1462, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=2968","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=2968, right_input=2947, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=14526284","layer":3},{"info":"number node, value=3298","layer":4},{"info":"compute unary expreesion, input=3298, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=12930","layer":3},{"info":"compute binary expreesion, left_input=14526284, right_input=12930, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-14513354","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-14513354, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=3452988, right_input=-134, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":10,"result_base":10,"text":"((↯⪼⊺⇮1541⊮⊟↴⊺⇮1362)⨎(⋗⩬⋾⊺⇮4444)≎⊠⪸⊺⇮6186⇌⫙⪟⊺⇮1251)↓((⊺⇮1462⫲≸⪮⊺⇮2006)≀⫉⊺⇮1071≹⇙⪍⊺⇮3897)↓(⊺⇮2968≴⪞⇿⊺⇮2947⨳⩥⨓(⊀⊺⇮3298))=⊺⇮-134","reverse_text":"⊺⇮-134=((↯⪼⊺⇮1541⊮⊟↴⊺⇮1362)⨎(⋗⩬⋾⊺⇮4444)≎⊠⪸⊺⇮6186⇌⫙⪟⊺⇮1251)↓((⊺⇮1462⫲≸⪮⊺⇮2006)≀⫉⊺⇮1071≹⇙⪍⊺⇮3897)↓(⊺⇮2968≴⪞⇿⊺⇮2947⨳⩥⨓(⊀⊺⇮3298))","cot":[{"info":"⊺⇮1541⊮⊟↴⊺⇮1362=⊺⇮0","layer":3},{"info":"↯⪼⊺⇮0=⊺⇮-21","layer":2},{"info":"⋗⩬⋾⊺⇮4444=⊺⇮-13332","layer":3},{"info":"⊺⇮6186⇌⫙⪟⊺⇮1251=⊺⇮113","layer":3},{"info":"⊺⇮-13332≎⊠⪸⊺⇮113=⊺⇮3452988","layer":2},{"info":"⊺⇮-21⨎⊺⇮3452988=⊺⇮3452988","layer":1},{"info":"⊺⇮1462⫲≸⪮⊺⇮2006=⊺⇮1462","layer":3},{"info":"⊺⇮1071≹⇙⪍⊺⇮3897=NaN","layer":3},{"info":"⊺⇮1462≀⫉NaN=⊺⇮2822","layer":2},{"info":"⊺⇮2968≴⪞⇿⊺⇮2947=⊺⇮14526284","layer":3},{"info":"⊀⊺⇮3298=⊺⇮12930","layer":3},{"info":"⊺⇮14526284⨳⩥⨓⊺⇮12930=⊺⇮-14513354","layer":2},{"info":"⊺⇮2822↓⊺⇮-14513354=⊺⇮-134","layer":1},{"info":"⊺⇮3452988↓⊺⇮-134=⊺⇮-134","layer":0}]}
{"id":682,"expression_no_base_symbol":"(⇙⪊(⨭⩧⫛(↸⊣$7878$)))⫘($1128$⨿$2345$⪡$1974$⊔$1915$⊉≛↸($8321$⨐⩸⫘$1787$)⫯⪬∳($2875$↪⪝))","expression":"(⇙⪊(⨭⩧⫛(↸⊣⊺⇮7878)))⫘(⊺⇮1128⨿⊺⇮2345⪡⊺⇮1974⊔⊺⇮1915⊉≛↸(⊺⇮8321⨐⩸⫘⊺⇮1787)⫯⪬∳(⊺⇮2875↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1196,"operation_count":11,"complexity_ratio":108.72727272727273,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":7878,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1128,"base":10},"right_expr":{"type":"numeric_atoms","value":2345,"base":10}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1974,"base":10},"right_expr":{"type":"numeric_atoms","value":1915,"base":10}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8321,"base":10},"right_expr":{"type":"numeric_atoms","value":1787,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2875,"base":10}}}}},"used_operators":["48vC8HMD2b","pB6Fcnrjim","g21JL6JxX7","wztAlM01eG","DZ8iAZOCBD","oraRL2iQuh","abYXlopdE0","E4l6HwMY31","d7ASUq0ydm","fu6greOZ01","l07mrZUIn9"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7878","layer":4},{"info":"compute unary expreesion, input=7878, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-7591","layer":3},{"info":"compute unary expreesion, input=-7591, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=1128","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=2345, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1974","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=1915, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=11123","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=11123, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1606","layer":2},{"info":"number node, value=8321","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=8321, right_input=1787, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=175898250","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=175898250, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1606, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3212","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3212, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇙⪊(⨭⩧⫛(↸⊣⊺⇮7878)))⫘(⊺⇮1128⨿⊺⇮2345⪡⊺⇮1974⊔⊺⇮1915⊉≛↸(⊺⇮8321⨐⩸⫘⊺⇮1787)⫯⪬∳(⊺⇮2875↪⪝))=NaN","reverse_text":"NaN=(⇙⪊(⨭⩧⫛(↸⊣⊺⇮7878)))⫘(⊺⇮1128⨿⊺⇮2345⪡⊺⇮1974⊔⊺⇮1915⊉≛↸(⊺⇮8321⨐⩸⫘⊺⇮1787)⫯⪬∳(⊺⇮2875↪⪝))","cot":[{"info":"↸⊣⊺⇮7878=⊺⇮-7591","layer":3},{"info":"⨭⩧⫛⊺⇮-7591=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"⊺⇮1128⨿⊺⇮2345=⊺⇮-319","layer":3},{"info":"⊺⇮1974⊔⊺⇮1915=⊺⇮11123","layer":3},{"info":"⊺⇮-319⪡⊺⇮11123=⊺⇮1606","layer":2},{"info":"⊺⇮8321⨐⩸⫘⊺⇮1787=NaN","layer":3},{"info":"⊺⇮2875↪⪝=⊺⇮175898250","layer":3},{"info":"NaN⫯⪬∳⊺⇮175898250=NaN","layer":2},{"info":"⊺⇮1606⊉≛↸NaN=⊺⇮3212","layer":1},{"info":"NaN⫘⊺⇮3212=NaN","layer":0}]}
{"id":683,"expression_no_base_symbol":"(⩎⋉(≋($1126$≀⫉$3152$)))⪄((-$4228$)⪨≂$1763$↞⋁$1684$)→⨶⪴(⊆⋠($7499$∑⇟⊟$1163$))","expression":"(⩎⋉(≋(⊺⇮1126≀⫉⊺⇮3152)))⪄((-⊺⇮4228)⪨≂⊺⇮1763↞⋁⊺⇮1684)→⨶⪴(⊆⋠(⊺⇮7499∑⇟⊟⊺⇮1163))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":553,"operation_count":10,"complexity_ratio":55.3,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1126,"base":10},"right_expr":{"type":"numeric_atoms","value":3152,"base":10}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4228,"base":10}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1763,"base":10},"right_expr":{"type":"numeric_atoms","value":1684,"base":10}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7499,"base":10},"right_expr":{"type":"numeric_atoms","value":1163,"base":10}}}}},"used_operators":["SUmda5xLS4","FlXk3pOYe8","61wBmkZwlr","oZj3VtZNQx","bF6eod5Gvf","sdazOOVcIp","t8gj7n24qd","RqrPlJkxDo","EBhcHTkKd8","U7g4x0WXJJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","7j4O788W3g","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⊺⇮-192541","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1126","layer":4},{"info":"number node, value=3152","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=3152, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":1},{"info":"number node, value=4228","layer":4},{"info":"compute unary expreesion, input=4228, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4228","layer":3},{"info":"number node, value=1763","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=1684, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4228, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=7499","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=7499, right_input=1163, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11937","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=-11937, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-192541","layer":0}],"base":10,"result_base":10,"text":"(⩎⋉(≋(⊺⇮1126≀⫉⊺⇮3152)))⪄((-⊺⇮4228)⪨≂⊺⇮1763↞⋁⊺⇮1684)→⨶⪴(⊆⋠(⊺⇮7499∑⇟⊟⊺⇮1163))=⊺⇮-192541","reverse_text":"⊺⇮-192541=(⩎⋉(≋(⊺⇮1126≀⫉⊺⇮3152)))⪄((-⊺⇮4228)⪨≂⊺⇮1763↞⋁⊺⇮1684)→⨶⪴(⊆⋠(⊺⇮7499∑⇟⊟⊺⇮1163))","cot":[{"info":"⊺⇮1126≀⫉⊺⇮3152=⊺⇮2822","layer":3},{"info":"≋⊺⇮2822=⊺⇮2822","layer":2},{"info":"⩎⋉⊺⇮2822=⊺⇮1650","layer":1},{"info":"-⊺⇮4228=⊺⇮-4228","layer":3},{"info":"⊺⇮1763↞⋁⊺⇮1684=NaN","layer":3},{"info":"⊺⇮-4228⪨≂NaN=NaN","layer":2},{"info":"⊺⇮7499∑⇟⊟⊺⇮1163=NaN","layer":3},{"info":"⊆⋠NaN=⊺⇮3979","layer":2},{"info":"NaN→⨶⪴⊺⇮3979=⊺⇮-11937","layer":1},{"info":"⊺⇮1650⪄⊺⇮-11937=⊺⇮-192541","layer":0}]}
{"id":684,"expression_no_base_symbol":"((($1627$⫸⊐$1074$)⨓$3944$⩼⇪↪$1542$)⊔((∐⩳⋚$1877$)⇴($1095$⪛⫼$4170$)))⨫⇇↔((+⊝⨔$2890$⩦$3292$)⨳⩥⨓(($6984$⨉)⨸⪁$6848$⊴$4231$))","expression":"(((⊺⇮1627⫸⊐⊺⇮1074)⨓⊺⇮3944⩼⇪↪⊺⇮1542)⊔((∐⩳⋚⊺⇮1877)⇴(⊺⇮1095⪛⫼⊺⇮4170)))⨫⇇↔((+⊝⨔⊺⇮2890⩦⊺⇮3292)⨳⩥⨓((⊺⇮6984⨉)⨸⪁⊺⇮6848⊴⊺⇮4231))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":16421,"operation_count":14,"complexity_ratio":1172.9285714285713,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1627,"base":10},"right_expr":{"type":"numeric_atoms","value":1074,"base":10}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3944,"base":10},"right_expr":{"type":"numeric_atoms","value":1542,"base":10}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1877,"base":10}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1095,"base":10},"right_expr":{"type":"numeric_atoms","value":4170,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2890,"base":10},"right_expr":{"type":"numeric_atoms","value":3292,"base":10}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":6984,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6848,"base":10},"right_expr":{"type":"numeric_atoms","value":4231,"base":10}}}}},"used_operators":["LXhwmt4mBO","E4l6HwMY31","3ViojmjbAp","mqXw5SEYmG","ocnLzx9CaJ","4JB6nKBMSY","SL6IHkK8vl","hyuBjUqXlG","nCS4ZIUYfx","DhbWaqg5eL","0kmYd0q39Y","g55IO6H4Gj","aMUSaJuDRU","Nsiff2A1zJ"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","dWAJyo7jo9","14qkJME0vr"],"result":"⊺⇮-527","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1627","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=1074, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4171","layer":3},{"info":"number node, value=3944","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=1542, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-3689","layer":3},{"info":"compute binary expreesion, left_input=4171, right_input=-3689, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3692","layer":2},{"info":"number node, value=1877","layer":4},{"info":"compute unary expreesion, input=1877, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=265044","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=4170","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=4170, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=265044, right_input=968, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=1591814","layer":2},{"info":"compute binary expreesion, left_input=-3692, right_input=1591814, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=4788500","layer":1},{"info":"number node, value=2890","layer":4},{"info":"number node, value=3292","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=3292, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5780","layer":3},{"info":"compute unary expreesion, input=5780, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=6984","layer":4},{"info":"compute unary expreesion, input=6984, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=16296","layer":3},{"info":"number node, value=6848","layer":4},{"info":"number node, value=4231","layer":4},{"info":"compute binary expreesion, left_input=6848, right_input=4231, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16296, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4788500, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1627⫸⊐⊺⇮1074)⨓⊺⇮3944⩼⇪↪⊺⇮1542)⊔((∐⩳⋚⊺⇮1877)⇴(⊺⇮1095⪛⫼⊺⇮4170)))⨫⇇↔((+⊝⨔⊺⇮2890⩦⊺⇮3292)⨳⩥⨓((⊺⇮6984⨉)⨸⪁⊺⇮6848⊴⊺⇮4231))=⊺⇮-527","reverse_text":"⊺⇮-527=(((⊺⇮1627⫸⊐⊺⇮1074)⨓⊺⇮3944⩼⇪↪⊺⇮1542)⊔((∐⩳⋚⊺⇮1877)⇴(⊺⇮1095⪛⫼⊺⇮4170)))⨫⇇↔((+⊝⨔⊺⇮2890⩦⊺⇮3292)⨳⩥⨓((⊺⇮6984⨉)⨸⪁⊺⇮6848⊴⊺⇮4231))","cot":[{"info":"⊺⇮1627⫸⊐⊺⇮1074=⊺⇮4171","layer":3},{"info":"⊺⇮3944⩼⇪↪⊺⇮1542=⊺⇮-3689","layer":3},{"info":"⊺⇮4171⨓⊺⇮-3689=⊺⇮-3692","layer":2},{"info":"∐⩳⋚⊺⇮1877=⊺⇮265044","layer":3},{"info":"⊺⇮1095⪛⫼⊺⇮4170=⊺⇮968","layer":3},{"info":"⊺⇮265044⇴⊺⇮968=⊺⇮1591814","layer":2},{"info":"⊺⇮-3692⊔⊺⇮1591814=⊺⇮4788500","layer":1},{"info":"⊺⇮2890⩦⊺⇮3292=⊺⇮5780","layer":3},{"info":"+⊝⨔⊺⇮5780=⊺⇮1522","layer":2},{"info":"⊺⇮6984⨉=⊺⇮16296","layer":3},{"info":"⊺⇮6848⊴⊺⇮4231=NaN","layer":3},{"info":"⊺⇮16296⨸⪁NaN=NaN","layer":2},{"info":"⊺⇮1522⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮4788500⨫⇇↔NaN=⊺⇮-527","layer":0}]}
{"id":685,"expression_no_base_symbol":"((⊖($2080$-$1057$))≚⊃≕(∷≠($4523$⫦⪉$5066$)))⫞⩸⩒(⋗⩴⪓(⫖→(⪫⨮⊛$3683$)))","expression":"((⊖(⊺⇮2080-⊺⇮1057))≚⊃≕(∷≠(⊺⇮4523⫦⪉⊺⇮5066)))⫞⩸⩒(⋗⩴⪓(⫖→(⪫⨮⊛⊺⇮3683)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2224991,"operation_count":9,"complexity_ratio":247221.22222222222,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2080,"base":10},"right_expr":{"type":"numeric_atoms","value":1057,"base":10}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4523,"base":10},"right_expr":{"type":"numeric_atoms","value":5066,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":3683,"base":10}}}}},"used_operators":["XGcMNugi78","Bmrmz2XGnR","U6pG0PXrV3","rysDP5nf3Z","QiR2Oyf5Xj","wscyQdcy20","nOKPl9n5zu","U4ylXWHChL","w5FWba1tyO"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","7j4O788W3g","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"⊺⇮-8458","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2080","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=1057, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1023","layer":3},{"info":"compute unary expreesion, input=1023, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"number node, value=4523","layer":4},{"info":"number node, value=5066","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=5066, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4146","layer":3},{"info":"compute unary expreesion, input=-4146, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-4146","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4146, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-8458","layer":1},{"info":"number node, value=3683","layer":4},{"info":"compute unary expreesion, input=3683, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=1364","layer":1},{"info":"compute binary expreesion, left_input=-8458, right_input=1364, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-8458","layer":0}],"base":10,"result_base":10,"text":"((⊖(⊺⇮2080-⊺⇮1057))≚⊃≕(∷≠(⊺⇮4523⫦⪉⊺⇮5066)))⫞⩸⩒(⋗⩴⪓(⫖→(⪫⨮⊛⊺⇮3683)))=⊺⇮-8458","reverse_text":"⊺⇮-8458=((⊖(⊺⇮2080-⊺⇮1057))≚⊃≕(∷≠(⊺⇮4523⫦⪉⊺⇮5066)))⫞⩸⩒(⋗⩴⪓(⫖→(⪫⨮⊛⊺⇮3683)))","cot":[{"info":"⊺⇮2080-⊺⇮1057=⊺⇮1023","layer":3},{"info":"⊖⊺⇮1023=⊺⇮0","layer":2},{"info":"⊺⇮4523⫦⪉⊺⇮5066=⊺⇮-4146","layer":3},{"info":"∷≠⊺⇮-4146=⊺⇮-4146","layer":2},{"info":"⊺⇮0≚⊃≕⊺⇮-4146=⊺⇮-8458","layer":1},{"info":"⪫⨮⊛⊺⇮3683=NaN","layer":3},{"info":"⫖→NaN=⊺⇮177","layer":2},{"info":"⋗⩴⪓⊺⇮177=⊺⇮1364","layer":1},{"info":"⊺⇮-8458⫞⩸⩒⊺⇮1364=⊺⇮-8458","layer":0}]}
{"id":686,"expression_no_base_symbol":"(($4395$⩉⊫⨁)⪪($1232$⩇∃⫛$5844$))≌(($4525$∑⇟⊟$1043$)⨪↰⇹(↨$5920$))⇩","expression":"((⊺⇮4395⩉⊫⨁)⪪(⊺⇮1232⩇∃⫛⊺⇮5844))≌((⊺⇮4525∑⇟⊟⊺⇮1043)⨪↰⇹(↨⊺⇮5920))⇩","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13592,"operation_count":8,"complexity_ratio":1699.0,"tree":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":4395,"base":10}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1232,"base":10},"right_expr":{"type":"numeric_atoms","value":5844,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4525,"base":10},"right_expr":{"type":"numeric_atoms","value":1043,"base":10}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":5920,"base":10}}}}},"used_operators":["vRio1gEz1j","lyWz822IDG","xD69zh8xqp","7qqUquhhSb","1aApVXNlOP","tmPS8pqC7x","U7g4x0WXJJ","jiX4gk2v2Q"],"dependent_operators":["W4YGzv6Whe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","FU0Cs4j7VP","JclMnS0uGI","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4395","layer":4},{"info":"compute unary expreesion, input=4395, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=4395","layer":3},{"info":"number node, value=1232","layer":4},{"info":"number node, value=5844","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=5844, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=5085","layer":3},{"info":"compute binary expreesion, left_input=4395, right_input=5085, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-659734","layer":2},{"info":"number node, value=4525","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=4525, right_input=1043, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5920","layer":4},{"info":"compute unary expreesion, input=5920, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-659734, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4395⩉⊫⨁)⪪(⊺⇮1232⩇∃⫛⊺⇮5844))≌((⊺⇮4525∑⇟⊟⊺⇮1043)⨪↰⇹(↨⊺⇮5920))⇩=NaN","reverse_text":"NaN=((⊺⇮4395⩉⊫⨁)⪪(⊺⇮1232⩇∃⫛⊺⇮5844))≌((⊺⇮4525∑⇟⊟⊺⇮1043)⨪↰⇹(↨⊺⇮5920))⇩","cot":[{"info":"⊺⇮4395⩉⊫⨁=⊺⇮4395","layer":3},{"info":"⊺⇮1232⩇∃⫛⊺⇮5844=⊺⇮5085","layer":3},{"info":"⊺⇮4395⪪⊺⇮5085=⊺⇮-659734","layer":2},{"info":"⊺⇮4525∑⇟⊟⊺⇮1043=NaN","layer":3},{"info":"↨⊺⇮5920=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"⊺⇮-659734≌NaN=NaN","layer":1},{"info":"NaN⇩=NaN","layer":0}]}
{"id":687,"expression_no_base_symbol":"((↑($4035$↼⊘⨖$1942$))⩷∴(⫎≠⋺$4210$)⨪↰⇹($2063$⋫))⨫⇇↔(($5180$↱$1134$)⇍⊗$1462$⨐$1455$⩨(⋗⩬⋾($3125$↓⨍⋜)))","expression":"((↑(⊺⇮4035↼⊘⨖⊺⇮1942))⩷∴(⫎≠⋺⊺⇮4210)⨪↰⇹(⊺⇮2063⋫))⨫⇇↔((⊺⇮5180↱⊺⇮1134)⇍⊗⊺⇮1462⨐⊺⇮1455⩨(⋗⩬⋾(⊺⇮3125↓⨍⋜)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3004,"operation_count":13,"complexity_ratio":231.07692307692307,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4035,"base":10},"right_expr":{"type":"numeric_atoms","value":1942,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4210,"base":10}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2063,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5180,"base":10},"right_expr":{"type":"numeric_atoms","value":1134,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1462,"base":10},"right_expr":{"type":"numeric_atoms","value":1455,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":3125,"base":10}}}}},"used_operators":["LXhwmt4mBO","9FxExcQeMw","tR7O2zTn5j","bPywburJMS","tmPS8pqC7x","LYeZOJ0nQG","JL8yIekQnl","2DlMacCsIx","5uvYHDjeKN","SR5kFfdi6N","Noe24qw2ks","DpFCA1CohY","3DVzLFNsE9"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2"],"result":"⊺⇮-527","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4035","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=1942, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3662","layer":3},{"info":"compute unary expreesion, input=3662, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=4210","layer":4},{"info":"compute unary expreesion, input=4210, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=2063","layer":4},{"info":"compute unary expreesion, input=2063, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2063","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2063, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=352","layer":1},{"info":"number node, value=5180","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=5180, right_input=1134, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2880","layer":3},{"info":"number node, value=1462","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=1455, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2924","layer":3},{"info":"compute binary expreesion, left_input=-2880, right_input=-2924, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=3125","layer":4},{"info":"compute unary expreesion, input=3125, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute unary expreesion, input=6590, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19770","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-19770, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-243","layer":1},{"info":"compute binary expreesion, left_input=352, right_input=-243, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":10,"result_base":10,"text":"((↑(⊺⇮4035↼⊘⨖⊺⇮1942))⩷∴(⫎≠⋺⊺⇮4210)⨪↰⇹(⊺⇮2063⋫))⨫⇇↔((⊺⇮5180↱⊺⇮1134)⇍⊗⊺⇮1462⨐⊺⇮1455⩨(⋗⩬⋾(⊺⇮3125↓⨍⋜)))=⊺⇮-527","reverse_text":"⊺⇮-527=((↑(⊺⇮4035↼⊘⨖⊺⇮1942))⩷∴(⫎≠⋺⊺⇮4210)⨪↰⇹(⊺⇮2063⋫))⨫⇇↔((⊺⇮5180↱⊺⇮1134)⇍⊗⊺⇮1462⨐⊺⇮1455⩨(⋗⩬⋾(⊺⇮3125↓⨍⋜)))","cot":[{"info":"⊺⇮4035↼⊘⨖⊺⇮1942=⊺⇮3662","layer":3},{"info":"↑⊺⇮3662=⊺⇮192","layer":2},{"info":"⫎≠⋺⊺⇮4210=⊺⇮0","layer":3},{"info":"⊺⇮2063⋫=⊺⇮2063","layer":3},{"info":"⊺⇮0⨪↰⇹⊺⇮2063=⊺⇮0","layer":2},{"info":"⊺⇮192⩷∴⊺⇮0=⊺⇮352","layer":1},{"info":"⊺⇮5180↱⊺⇮1134=⊺⇮-2880","layer":3},{"info":"⊺⇮1462⨐⊺⇮1455=⊺⇮-2924","layer":3},{"info":"⊺⇮-2880⇍⊗⊺⇮-2924=⊺⇮-244","layer":2},{"info":"⊺⇮3125↓⨍⋜=⊺⇮6590","layer":3},{"info":"⋗⩬⋾⊺⇮6590=⊺⇮-19770","layer":2},{"info":"⊺⇮-244⩨⊺⇮-19770=⊺⇮-243","layer":1},{"info":"⊺⇮352⨫⇇↔⊺⇮-243=⊺⇮-527","layer":0}]}
{"id":688,"expression_no_base_symbol":"(≀↧⇸(-$5423$⇴∐$1384$))≴⪞⇿((($3793$%$4339$)⩺⪪$1833$⇣⩺⋵$2084$)⨽∌($5872$⨿$2747$⇴∐$1334$⫞⩸⩒$8537$))","expression":"(≀↧⇸(-⊺⇮5423⇴∐⊺⇮1384))≴⪞⇿(((⊺⇮3793%⊺⇮4339)⩺⪪⊺⇮1833⇣⩺⋵⊺⇮2084)⨽∌(⊺⇮5872⨿⊺⇮2747⇴∐⊺⇮1334⫞⩸⩒⊺⇮8537))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":560,"operation_count":11,"complexity_ratio":50.90909090909091,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5423,"base":10},"right_expr":{"type":"numeric_atoms","value":1384,"base":10}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3793,"base":10},"right_expr":{"type":"numeric_atoms","value":4339,"base":10}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1833,"base":10},"right_expr":{"type":"numeric_atoms","value":2084,"base":10}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5872,"base":10},"right_expr":{"type":"numeric_atoms","value":2747,"base":10}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1334,"base":10},"right_expr":{"type":"numeric_atoms","value":8537,"base":10}}}}},"used_operators":["lvlrscuwVU","ljTHtUsqzn","t8gj7n24qd","HnzytWxmAO","9samAPKr6k","uvdQJvN4PV","k8jYdgA6NY","F4yD0voBRQ","abYXlopdE0","XGcMNugi78"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","XPYlsWDdGa","23Mk6UjR3U","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5423","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=5423, right_input=1384, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":1},{"info":"number node, value=3793","layer":4},{"info":"number node, value=4339","layer":4},{"info":"compute binary expreesion, left_input=3793, right_input=4339, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3793","layer":3},{"info":"number node, value=1833","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=2084, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=3793, right_input=-260, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-65746","layer":2},{"info":"number node, value=5872","layer":4},{"info":"number node, value=2747","layer":4},{"info":"compute binary expreesion, left_input=5872, right_input=2747, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=8537","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=8537, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=8537","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=8537, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-65746, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≀↧⇸(-⊺⇮5423⇴∐⊺⇮1384))≴⪞⇿(((⊺⇮3793%⊺⇮4339)⩺⪪⊺⇮1833⇣⩺⋵⊺⇮2084)⨽∌(⊺⇮5872⨿⊺⇮2747⇴∐⊺⇮1334⫞⩸⩒⊺⇮8537))=NaN","reverse_text":"NaN=(≀↧⇸(-⊺⇮5423⇴∐⊺⇮1384))≴⪞⇿(((⊺⇮3793%⊺⇮4339)⩺⪪⊺⇮1833⇣⩺⋵⊺⇮2084)⨽∌(⊺⇮5872⨿⊺⇮2747⇴∐⊺⇮1334⫞⩸⩒⊺⇮8537))","cot":[{"info":"⊺⇮5423⇴∐⊺⇮1384=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"≀↧⇸NaN=NaN","layer":1},{"info":"⊺⇮3793%⊺⇮4339=⊺⇮3793","layer":3},{"info":"⊺⇮1833⇣⩺⋵⊺⇮2084=⊺⇮-260","layer":3},{"info":"⊺⇮3793⩺⪪⊺⇮-260=⊺⇮-65746","layer":2},{"info":"⊺⇮5872⨿⊺⇮2747=⊺⇮-319","layer":3},{"info":"⊺⇮1334⫞⩸⩒⊺⇮8537=⊺⇮8537","layer":3},{"info":"⊺⇮-319⇴∐⊺⇮8537=NaN","layer":2},{"info":"⊺⇮-65746⨽∌NaN=NaN","layer":1},{"info":"NaN≴⪞⇿NaN=NaN","layer":0}]}
{"id":689,"expression_no_base_symbol":"($1711$⊍⩺⋍$4125$⪨≂(⫖→$2989$))⨂≜($1370$∴$2411$⫣⪄⊒($6025$≹⇙⪍$1189$))↑","expression":"(⊺⇮1711⊍⩺⋍⊺⇮4125⪨≂(⫖→⊺⇮2989))⨂≜(⊺⇮1370∴⊺⇮2411⫣⪄⊒(⊺⇮6025≹⇙⪍⊺⇮1189))↑","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":29100,"operation_count":8,"complexity_ratio":3637.5,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1711,"base":10},"right_expr":{"type":"numeric_atoms","value":4125,"base":10}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2989,"base":10}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1370,"base":10},"right_expr":{"type":"numeric_atoms","value":2411,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6025,"base":10},"right_expr":{"type":"numeric_atoms","value":1189,"base":10}}}}},"used_operators":["BThhyOhh10","k1SHOSEABc","sdazOOVcIp","OXDGMFPWZM","U4ylXWHChL","RabNbG55vr","hrf7POJlIJ","AHs5Up7iyr"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1711","layer":4},{"info":"number node, value=4125","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=4125, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2989","layer":4},{"info":"compute unary expreesion, input=2989, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=1370","layer":4},{"info":"number node, value=2411","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=2411, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4388","layer":3},{"info":"number node, value=6025","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=6025, right_input=1189, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4388, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1711⊍⩺⋍⊺⇮4125⪨≂(⫖→⊺⇮2989))⨂≜(⊺⇮1370∴⊺⇮2411⫣⪄⊒(⊺⇮6025≹⇙⪍⊺⇮1189))↑=NaN","reverse_text":"NaN=(⊺⇮1711⊍⩺⋍⊺⇮4125⪨≂(⫖→⊺⇮2989))⨂≜(⊺⇮1370∴⊺⇮2411⫣⪄⊒(⊺⇮6025≹⇙⪍⊺⇮1189))↑","cot":[{"info":"⊺⇮1711⊍⩺⋍⊺⇮4125=NaN","layer":3},{"info":"⫖→⊺⇮2989=⊺⇮177","layer":3},{"info":"NaN⪨≂⊺⇮177=NaN","layer":2},{"info":"⊺⇮1370∴⊺⇮2411=⊺⇮4388","layer":3},{"info":"⊺⇮6025≹⇙⪍⊺⇮1189=NaN","layer":3},{"info":"⊺⇮4388⫣⪄⊒NaN=⊺⇮160","layer":2},{"info":"NaN⨂≜⊺⇮160=NaN","layer":1},{"info":"NaN↑=NaN","layer":0}]}
{"id":690,"expression_no_base_symbol":"(($1650$≝⊿$1853$⊭↱$1209$≧⫂∧$2560$)⪉⨛($1764$⇻⋧≁$3537$)⪝($6746$≹⇙⪍$5258$))⪃⊛⇣((($1057$⇗⋫)↑)∊∟⩊($5796$∣$4530$⪭(⊤⊝$2826$)))","expression":"((⊺⇮1650≝⊿⊺⇮1853⊭↱⊺⇮1209≧⫂∧⊺⇮2560)⪉⨛(⊺⇮1764⇻⋧≁⊺⇮3537)⪝(⊺⇮6746≹⇙⪍⊺⇮5258))⪃⊛⇣(((⊺⇮1057⇗⋫)↑)∊∟⩊(⊺⇮5796∣⊺⇮4530⪭(⊤⊝⊺⇮2826)))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":2844,"operation_count":14,"complexity_ratio":203.14285714285714,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1650,"base":10},"right_expr":{"type":"numeric_atoms","value":1853,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1209,"base":10},"right_expr":{"type":"numeric_atoms","value":2560,"base":10}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1764,"base":10},"right_expr":{"type":"numeric_atoms","value":3537,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6746,"base":10},"right_expr":{"type":"numeric_atoms","value":5258,"base":10}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1057,"base":10}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5796,"base":10},"right_expr":{"type":"numeric_atoms","value":4530,"base":10}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2826,"base":10}}}}},"used_operators":["rrgAzCduG9","EWw2JM7wp4","COABgblf1C","OKKcZfAt5B","Ph9nP6C5qx","wicAB68Tmb","jCPkEVoL5K","AHs5Up7iyr","ddLRYrp01A","BThhyOhh10","hpqmaQFPrd","j9kHMeSvPp","PPChnnnBFF","rXAclfmB4M"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","rxpJgHHUmx","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1650","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=1853, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5889","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2560, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2087","layer":3},{"info":"compute binary expreesion, left_input=-5889, right_input=2087, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=15957","layer":2},{"info":"number node, value=1764","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=3537, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=6746","layer":4},{"info":"number node, value=5258","layer":4},{"info":"compute binary expreesion, left_input=6746, right_input=5258, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15957, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=nan","layer":2},{"info":"number node, value=5796","layer":4},{"info":"number node, value=4530","layer":4},{"info":"compute binary expreesion, left_input=5796, right_input=4530, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5796","layer":3},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=4354","layer":3},{"info":"compute binary expreesion, left_input=5796, right_input=4354, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1650≝⊿⊺⇮1853⊭↱⊺⇮1209≧⫂∧⊺⇮2560)⪉⨛(⊺⇮1764⇻⋧≁⊺⇮3537)⪝(⊺⇮6746≹⇙⪍⊺⇮5258))⪃⊛⇣(((⊺⇮1057⇗⋫)↑)∊∟⩊(⊺⇮5796∣⊺⇮4530⪭(⊤⊝⊺⇮2826)))=⊺⇮1234","reverse_text":"⊺⇮1234=((⊺⇮1650≝⊿⊺⇮1853⊭↱⊺⇮1209≧⫂∧⊺⇮2560)⪉⨛(⊺⇮1764⇻⋧≁⊺⇮3537)⪝(⊺⇮6746≹⇙⪍⊺⇮5258))⪃⊛⇣(((⊺⇮1057⇗⋫)↑)∊∟⩊(⊺⇮5796∣⊺⇮4530⪭(⊤⊝⊺⇮2826)))","cot":[{"info":"⊺⇮1650≝⊿⊺⇮1853=⊺⇮-5889","layer":3},{"info":"⊺⇮1209≧⫂∧⊺⇮2560=⊺⇮2087","layer":3},{"info":"⊺⇮-5889⊭↱⊺⇮2087=⊺⇮15957","layer":2},{"info":"⊺⇮1764⇻⋧≁⊺⇮3537=⊺⇮-447","layer":3},{"info":"⊺⇮6746≹⇙⪍⊺⇮5258=NaN","layer":3},{"info":"⊺⇮-447⪝NaN=NaN","layer":2},{"info":"⊺⇮15957⪉⨛NaN=NaN","layer":1},{"info":"⊺⇮1057⇗⋫=NaN","layer":3},{"info":"NaN↑=NaN","layer":2},{"info":"⊺⇮5796∣⊺⇮4530=⊺⇮5796","layer":3},{"info":"⊤⊝⊺⇮2826=⊺⇮4354","layer":3},{"info":"⊺⇮5796⪭⊺⇮4354=⊺⇮5","layer":2},{"info":"NaN∊∟⩊⊺⇮5=NaN","layer":1},{"info":"NaN⪃⊛⇣NaN=⊺⇮1234","layer":0}]}
{"id":691,"expression_no_base_symbol":"($5426$∇⊂⋱$3026$)⋹⋡⊁($3755$⨚⇆$2309$)↹⊜(⊆⋠($1309$⊋≦⊧$4506$))⊨(⋗⩴⪓$4935$≁$5892$⇤$1494$⨿$7188$)","expression":"(⊺⇮5426∇⊂⋱⊺⇮3026)⋹⋡⊁(⊺⇮3755⨚⇆⊺⇮2309)↹⊜(⊆⋠(⊺⇮1309⊋≦⊧⊺⇮4506))⊨(⋗⩴⪓⊺⇮4935≁⊺⇮5892⇤⊺⇮1494⨿⊺⇮7188)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26846,"operation_count":11,"complexity_ratio":2440.5454545454545,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5426,"base":10},"right_expr":{"type":"numeric_atoms","value":3026,"base":10}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3755,"base":10},"right_expr":{"type":"numeric_atoms","value":2309,"base":10}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1309,"base":10},"right_expr":{"type":"numeric_atoms","value":4506,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4935,"base":10},"right_expr":{"type":"numeric_atoms","value":5892,"base":10}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1494,"base":10},"right_expr":{"type":"numeric_atoms","value":7188,"base":10}}}}},"used_operators":["vg4gO5BX6G","9bazX3JMtO","As8RqfVLgs","nhYeJWJD5X","lwHaAYXP2r","EBhcHTkKd8","oRDoc9rAEX","nOKPl9n5zu","YSKBFp38Pu","8N2wDY1A35","abYXlopdE0"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⊺⇮594471","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5426","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=5426, right_input=3026, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=10306","layer":3},{"info":"number node, value=3755","layer":4},{"info":"number node, value=2309","layer":4},{"info":"compute binary expreesion, left_input=3755, right_input=2309, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10306, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=82186","layer":2},{"info":"number node, value=1309","layer":4},{"info":"number node, value=4506","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=4506, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-5575","layer":3},{"info":"compute unary expreesion, input=-5575, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=82186, right_input=3979, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=148360","layer":1},{"info":"number node, value=4935","layer":4},{"info":"number node, value=5892","layer":4},{"info":"compute binary expreesion, left_input=4935, right_input=5892, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=128207","layer":3},{"info":"number node, value=1494","layer":4},{"info":"number node, value=7188","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=7188, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=128207, right_input=-319, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-636592","layer":2},{"info":"compute unary expreesion, input=-636592, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=2548988","layer":1},{"info":"compute binary expreesion, left_input=148360, right_input=2548988, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=594471","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5426∇⊂⋱⊺⇮3026)⋹⋡⊁(⊺⇮3755⨚⇆⊺⇮2309)↹⊜(⊆⋠(⊺⇮1309⊋≦⊧⊺⇮4506))⊨(⋗⩴⪓⊺⇮4935≁⊺⇮5892⇤⊺⇮1494⨿⊺⇮7188)=⊺⇮594471","reverse_text":"⊺⇮594471=(⊺⇮5426∇⊂⋱⊺⇮3026)⋹⋡⊁(⊺⇮3755⨚⇆⊺⇮2309)↹⊜(⊆⋠(⊺⇮1309⊋≦⊧⊺⇮4506))⊨(⋗⩴⪓⊺⇮4935≁⊺⇮5892⇤⊺⇮1494⨿⊺⇮7188)","cot":[{"info":"⊺⇮5426∇⊂⋱⊺⇮3026=⊺⇮10306","layer":3},{"info":"⊺⇮3755⨚⇆⊺⇮2309=NaN","layer":3},{"info":"⊺⇮10306⋹⋡⊁NaN=⊺⇮82186","layer":2},{"info":"⊺⇮1309⊋≦⊧⊺⇮4506=⊺⇮-5575","layer":3},{"info":"⊆⋠⊺⇮-5575=⊺⇮3979","layer":2},{"info":"⊺⇮82186↹⊜⊺⇮3979=⊺⇮148360","layer":1},{"info":"⊺⇮4935≁⊺⇮5892=⊺⇮128207","layer":3},{"info":"⊺⇮1494⨿⊺⇮7188=⊺⇮-319","layer":3},{"info":"⊺⇮128207⇤⊺⇮-319=⊺⇮-636592","layer":2},{"info":"⋗⩴⪓⊺⇮-636592=⊺⇮2548988","layer":1},{"info":"⊺⇮148360⊨⊺⇮2548988=⊺⇮594471","layer":0}]}
{"id":692,"expression_no_base_symbol":"(($3489$∙⊟$3400$)⫣⪄⊒($2886$⨚⇆$2397$)⇴∐($4039$⋾⨃∁$3170$)⨽∌($7151$⨎$1675$))∊∟⩊((⇉-⫰$2186$)∳⫺(⪡⇡≛$2928$)⩼⇪↪(⊖$4667$⊋≦⊧$6209$))","expression":"((⊺⇮3489∙⊟⊺⇮3400)⫣⪄⊒(⊺⇮2886⨚⇆⊺⇮2397)⇴∐(⊺⇮4039⋾⨃∁⊺⇮3170)⨽∌(⊺⇮7151⨎⊺⇮1675))∊∟⩊((⇉-⫰⊺⇮2186)∳⫺(⪡⇡≛⊺⇮2928)⩼⇪↪(⊖⊺⇮4667⊋≦⊧⊺⇮6209))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":27299,"operation_count":14,"complexity_ratio":1949.9285714285713,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3489,"base":10},"right_expr":{"type":"numeric_atoms","value":3400,"base":10}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2886,"base":10},"right_expr":{"type":"numeric_atoms","value":2397,"base":10}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4039,"base":10},"right_expr":{"type":"numeric_atoms","value":3170,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7151,"base":10},"right_expr":{"type":"numeric_atoms","value":1675,"base":10}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2186,"base":10}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":2928,"base":10}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4667,"base":10},"right_expr":{"type":"numeric_atoms","value":6209,"base":10}}}}},"used_operators":["ddLRYrp01A","HnzytWxmAO","RabNbG55vr","SxTAKzQCrw","lwHaAYXP2r","9samAPKr6k","212REbPD9h","rJVOvQCfKK","ocnLzx9CaJ","AzXXKTstlj","IGFM8TAlm9","qL4PrbW1Dq","U6pG0PXrV3","oRDoc9rAEX"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eH2TOUuTDT","eewbuw0ToL","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⊺⇮-224659","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3489","layer":4},{"info":"number node, value=3400","layer":4},{"info":"compute binary expreesion, left_input=3489, right_input=3400, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=55203","layer":3},{"info":"number node, value=2886","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=2397, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=55203, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=4039","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=4039, right_input=3170, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=100450866","layer":3},{"info":"number node, value=7151","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=7151, right_input=1675, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1675","layer":3},{"info":"compute binary expreesion, left_input=100450866, right_input=1675, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-226","layer":1},{"info":"number node, value=2186","layer":4},{"info":"compute unary expreesion, input=2186, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=2928","layer":4},{"info":"compute unary expreesion, input=2928, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2928","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-2928, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=4667","layer":4},{"info":"number node, value=6209","layer":4},{"info":"compute binary expreesion, left_input=4667, right_input=6209, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-10636","layer":3},{"info":"compute unary expreesion, input=-10636, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=31908","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=31908, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-224659","layer":1},{"info":"compute binary expreesion, left_input=-226, right_input=-224659, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-224659","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3489∙⊟⊺⇮3400)⫣⪄⊒(⊺⇮2886⨚⇆⊺⇮2397)⇴∐(⊺⇮4039⋾⨃∁⊺⇮3170)⨽∌(⊺⇮7151⨎⊺⇮1675))∊∟⩊((⇉-⫰⊺⇮2186)∳⫺(⪡⇡≛⊺⇮2928)⩼⇪↪(⊖⊺⇮4667⊋≦⊧⊺⇮6209))=⊺⇮-224659","reverse_text":"⊺⇮-224659=((⊺⇮3489∙⊟⊺⇮3400)⫣⪄⊒(⊺⇮2886⨚⇆⊺⇮2397)⇴∐(⊺⇮4039⋾⨃∁⊺⇮3170)⨽∌(⊺⇮7151⨎⊺⇮1675))∊∟⩊((⇉-⫰⊺⇮2186)∳⫺(⪡⇡≛⊺⇮2928)⩼⇪↪(⊖⊺⇮4667⊋≦⊧⊺⇮6209))","cot":[{"info":"⊺⇮3489∙⊟⊺⇮3400=⊺⇮55203","layer":3},{"info":"⊺⇮2886⨚⇆⊺⇮2397=NaN","layer":3},{"info":"⊺⇮55203⫣⪄⊒NaN=⊺⇮160","layer":2},{"info":"⊺⇮4039⋾⨃∁⊺⇮3170=⊺⇮100450866","layer":3},{"info":"⊺⇮7151⨎⊺⇮1675=⊺⇮1675","layer":3},{"info":"⊺⇮100450866⨽∌⊺⇮1675=⊺⇮0","layer":2},{"info":"⊺⇮160⇴∐⊺⇮0=⊺⇮-226","layer":1},{"info":"⇉-⫰⊺⇮2186=⊺⇮20","layer":3},{"info":"⪡⇡≛⊺⇮2928=⊺⇮-2928","layer":3},{"info":"⊺⇮20∳⫺⊺⇮-2928=⊺⇮-260","layer":2},{"info":"⊺⇮4667⊋≦⊧⊺⇮6209=⊺⇮-10636","layer":3},{"info":"⊖⊺⇮-10636=⊺⇮31908","layer":2},{"info":"⊺⇮-260⩼⇪↪⊺⇮31908=⊺⇮-224659","layer":1},{"info":"⊺⇮-226∊∟⩊⊺⇮-224659=⊺⇮-224659","layer":0}]}
{"id":693,"expression_no_base_symbol":"(↴⪽⋼($3027$↸$1268$))⨼⩣(($1100$⨀⨒)⫸⊐$2498$⇡⇂$1562$)≬⇓(($8882$⩺⪪$3361$)≧⫂∧(⇈$3184$))⫗⊷⫓($4310$≴⪞⇿$4326$⩷∴(↸⊣$7543$))","expression":"(↴⪽⋼(⊺⇮3027↸⊺⇮1268))⨼⩣((⊺⇮1100⨀⨒)⫸⊐⊺⇮2498⇡⇂⊺⇮1562)≬⇓((⊺⇮8882⩺⪪⊺⇮3361)≧⫂∧(⇈⊺⇮3184))⫗⊷⫓(⊺⇮4310≴⪞⇿⊺⇮4326⩷∴(↸⊣⊺⇮7543))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":102626,"operation_count":14,"complexity_ratio":7330.428571428572,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3027,"base":10},"right_expr":{"type":"numeric_atoms","value":1268,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":1100,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2498,"base":10},"right_expr":{"type":"numeric_atoms","value":1562,"base":10}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":8882,"base":10},"right_expr":{"type":"numeric_atoms","value":3361,"base":10}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":3184,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4310,"base":10},"right_expr":{"type":"numeric_atoms","value":4326,"base":10}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":7543,"base":10}}}}},"used_operators":["jWTQ2TZYIH","JxwMv5le6e","5TUYCnJO6w","1eCjFl0mb9","mqXw5SEYmG","j6NVkjMzuk","UMwdvZNt44","zashukvMKz","Ph9nP6C5qx","uvdQJvN4PV","SLLxy00UIr","9FxExcQeMw","lvlrscuwVU","wztAlM01eG"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"⊺⇮-22","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3027","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=1268, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3027","layer":3},{"info":"compute unary expreesion, input=3027, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3027","layer":2},{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=12132","layer":3},{"info":"number node, value=2498","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=1562, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12132, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3027, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=8882","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=8882, right_input=3361, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-89234","layer":3},{"info":"number node, value=3184","layer":4},{"info":"compute unary expreesion, input=3184, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-89234, right_input=-447, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-88787","layer":2},{"info":"number node, value=4310","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=4310, right_input=4326, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=32594972","layer":3},{"info":"number node, value=7543","layer":4},{"info":"compute unary expreesion, input=7543, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-7256","layer":3},{"info":"compute binary expreesion, left_input=32594972, right_input=-7256, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=65204424","layer":2},{"info":"compute binary expreesion, left_input=-88787, right_input=65204424, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":10,"result_base":10,"text":"(↴⪽⋼(⊺⇮3027↸⊺⇮1268))⨼⩣((⊺⇮1100⨀⨒)⫸⊐⊺⇮2498⇡⇂⊺⇮1562)≬⇓((⊺⇮8882⩺⪪⊺⇮3361)≧⫂∧(⇈⊺⇮3184))⫗⊷⫓(⊺⇮4310≴⪞⇿⊺⇮4326⩷∴(↸⊣⊺⇮7543))=⊺⇮-22","reverse_text":"⊺⇮-22=(↴⪽⋼(⊺⇮3027↸⊺⇮1268))⨼⩣((⊺⇮1100⨀⨒)⫸⊐⊺⇮2498⇡⇂⊺⇮1562)≬⇓((⊺⇮8882⩺⪪⊺⇮3361)≧⫂∧(⇈⊺⇮3184))⫗⊷⫓(⊺⇮4310≴⪞⇿⊺⇮4326⩷∴(↸⊣⊺⇮7543))","cot":[{"info":"⊺⇮3027↸⊺⇮1268=⊺⇮3027","layer":3},{"info":"↴⪽⋼⊺⇮3027=⊺⇮3027","layer":2},{"info":"⊺⇮1100⨀⨒=⊺⇮12132","layer":3},{"info":"⊺⇮2498⇡⇂⊺⇮1562=NaN","layer":3},{"info":"⊺⇮12132⫸⊐NaN=NaN","layer":2},{"info":"⊺⇮3027⨼⩣NaN=NaN","layer":1},{"info":"⊺⇮8882⩺⪪⊺⇮3361=⊺⇮-89234","layer":3},{"info":"⇈⊺⇮3184=⊺⇮-447","layer":3},{"info":"⊺⇮-89234≧⫂∧⊺⇮-447=⊺⇮-88787","layer":2},{"info":"⊺⇮4310≴⪞⇿⊺⇮4326=⊺⇮32594972","layer":3},{"info":"↸⊣⊺⇮7543=⊺⇮-7256","layer":3},{"info":"⊺⇮32594972⩷∴⊺⇮-7256=⊺⇮65204424","layer":2},{"info":"⊺⇮-88787⫗⊷⫓⊺⇮65204424=⊺⇮-134","layer":1},{"info":"NaN≬⇓⊺⇮-134=⊺⇮-22","layer":0}]}
{"id":694,"expression_no_base_symbol":"((($2315$∁)∴≳≥)⊋≦⊧(⪓⩚($5320$⊪)))⨸(⫖→((⪓⩚$8638$)⫔⩽⩺$5560$↬$2350$))","expression":"(((⊺⇮2315∁)∴≳≥)⊋≦⊧(⪓⩚(⊺⇮5320⊪)))⨸(⫖→((⪓⩚⊺⇮8638)⫔⩽⩺⊺⇮5560↬⊺⇮2350))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7750,"operation_count":10,"complexity_ratio":775.0,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":2315,"base":10}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5320,"base":10}}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":8638,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5560,"base":10},"right_expr":{"type":"numeric_atoms","value":2350,"base":10}}}}},"used_operators":["KmoU8R5UQR","oRDoc9rAEX","a3N2hFLK0J","jdwGQqwJi5","u0R0Locfp2","zVYPLywUTj","U4ylXWHChL","i9eR4S00cU","B5M0gjZbta"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","2DDjHMKMc0","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","Tw270M8GLb","fu6greOZ01","rGHVDoGpnC"],"result":"⊺⇮567142","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2315","layer":4},{"info":"compute unary expreesion, input=2315, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=2315","layer":3},{"info":"compute unary expreesion, input=2315, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=9260","layer":2},{"info":"number node, value=5320","layer":4},{"info":"compute unary expreesion, input=5320, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute binary expreesion, left_input=9260, right_input=426, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-612","layer":1},{"info":"number node, value=8638","layer":4},{"info":"compute unary expreesion, input=8638, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=5560","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=5560, right_input=2350, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-612, right_input=177, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=567142","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2315∁)∴≳≥)⊋≦⊧(⪓⩚(⊺⇮5320⊪)))⨸(⫖→((⪓⩚⊺⇮8638)⫔⩽⩺⊺⇮5560↬⊺⇮2350))=⊺⇮567142","reverse_text":"⊺⇮567142=(((⊺⇮2315∁)∴≳≥)⊋≦⊧(⪓⩚(⊺⇮5320⊪)))⨸(⫖→((⪓⩚⊺⇮8638)⫔⩽⩺⊺⇮5560↬⊺⇮2350))","cot":[{"info":"⊺⇮2315∁=⊺⇮2315","layer":3},{"info":"⊺⇮2315∴≳≥=⊺⇮9260","layer":2},{"info":"⊺⇮5320⊪=⊺⇮0","layer":3},{"info":"⪓⩚⊺⇮0=⊺⇮426","layer":2},{"info":"⊺⇮9260⊋≦⊧⊺⇮426=⊺⇮-612","layer":1},{"info":"⪓⩚⊺⇮8638=⊺⇮426","layer":3},{"info":"⊺⇮5560↬⊺⇮2350=NaN","layer":3},{"info":"⊺⇮426⫔⩽⩺NaN=NaN","layer":2},{"info":"⫖→NaN=⊺⇮177","layer":1},{"info":"⊺⇮-612⨸⊺⇮177=⊺⇮567142","layer":0}]}
{"id":695,"expression_no_base_symbol":"(($5730$⪛$5315$⩷∴($1242$+$5553$))⊉↱≁(($1997$≬⋮$6484$)⩵∡$4053$∌$3772$))⨽∌((($1567$⪷)⫔⩽⩺$1029$⫉⨲⊜$5091$)∘((≸$1488$)-(⋗⩴⪓$2884$)))","expression":"((⊺⇮5730⪛⊺⇮5315⩷∴(⊺⇮1242+⊺⇮5553))⊉↱≁((⊺⇮1997≬⋮⊺⇮6484)⩵∡⊺⇮4053∌⊺⇮3772))⨽∌(((⊺⇮1567⪷)⫔⩽⩺⊺⇮1029⫉⨲⊜⊺⇮5091)∘((≸⊺⇮1488)-(⋗⩴⪓⊺⇮2884)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4726,"operation_count":15,"complexity_ratio":315.06666666666666,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5730,"base":10},"right_expr":{"type":"numeric_atoms","value":5315,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1242,"base":10},"right_expr":{"type":"numeric_atoms","value":5553,"base":10}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1997,"base":10},"right_expr":{"type":"numeric_atoms","value":6484,"base":10}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4053,"base":10},"right_expr":{"type":"numeric_atoms","value":3772,"base":10}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1567,"base":10}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1029,"base":10},"right_expr":{"type":"numeric_atoms","value":5091,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1488,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2884,"base":10}}}}},"used_operators":["9samAPKr6k","w2P8NbNXyL","9FxExcQeMw","uFcxV4UQCh","W4YGzv6Whe","Y7wcNGrDQJ","kbkesczE7y","8cLx32lpNA","Z5m6OM72h2","i9eR4S00cU","Qctrpi3WzA","WhqkvtTD3t","rysDP5nf3Z","eOf03JbCpp","nOKPl9n5zu"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","glklzrTFfD","tifHPKVTfV","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","Tw270M8GLb","fu6greOZ01","Nsiff2A1zJ","eewbuw0ToL","zVYPLywUTj","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5730","layer":4},{"info":"number node, value=5315","layer":4},{"info":"compute binary expreesion, left_input=5730, right_input=5315, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=415","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=5553","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=5553, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6795","layer":3},{"info":"compute binary expreesion, left_input=415, right_input=6795, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12792","layer":2},{"info":"number node, value=1997","layer":4},{"info":"number node, value=6484","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=6484, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=4053","layer":4},{"info":"number node, value=3772","layer":4},{"info":"compute binary expreesion, left_input=4053, right_input=3772, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3772","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-3772, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5629","layer":2},{"info":"compute binary expreesion, left_input=-12792, right_input=-5629, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-95260","layer":1},{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=5091","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=5091, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1488","layer":4},{"info":"compute unary expreesion, input=1488, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=2884","layer":4},{"info":"compute unary expreesion, input=2884, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1971","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=-1971, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2029","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2029, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-95260, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5730⪛⊺⇮5315⩷∴(⊺⇮1242+⊺⇮5553))⊉↱≁((⊺⇮1997≬⋮⊺⇮6484)⩵∡⊺⇮4053∌⊺⇮3772))⨽∌(((⊺⇮1567⪷)⫔⩽⩺⊺⇮1029⫉⨲⊜⊺⇮5091)∘((≸⊺⇮1488)-(⋗⩴⪓⊺⇮2884)))=NaN","reverse_text":"NaN=((⊺⇮5730⪛⊺⇮5315⩷∴(⊺⇮1242+⊺⇮5553))⊉↱≁((⊺⇮1997≬⋮⊺⇮6484)⩵∡⊺⇮4053∌⊺⇮3772))⨽∌(((⊺⇮1567⪷)⫔⩽⩺⊺⇮1029⫉⨲⊜⊺⇮5091)∘((≸⊺⇮1488)-(⋗⩴⪓⊺⇮2884)))","cot":[{"info":"⊺⇮5730⪛⊺⇮5315=⊺⇮415","layer":3},{"info":"⊺⇮1242+⊺⇮5553=⊺⇮6795","layer":3},{"info":"⊺⇮415⩷∴⊺⇮6795=⊺⇮-12792","layer":2},{"info":"⊺⇮1997≬⋮⊺⇮6484=⊺⇮868","layer":3},{"info":"⊺⇮4053∌⊺⇮3772=⊺⇮-3772","layer":3},{"info":"⊺⇮868⩵∡⊺⇮-3772=⊺⇮-5629","layer":2},{"info":"⊺⇮-12792⊉↱≁⊺⇮-5629=⊺⇮-95260","layer":1},{"info":"⊺⇮1567⪷=NaN","layer":3},{"info":"⊺⇮1029⫉⨲⊜⊺⇮5091=⊺⇮0","layer":3},{"info":"NaN⫔⩽⩺⊺⇮0=NaN","layer":2},{"info":"≸⊺⇮1488=⊺⇮58","layer":3},{"info":"⋗⩴⪓⊺⇮2884=⊺⇮-1971","layer":3},{"info":"⊺⇮58-⊺⇮-1971=⊺⇮2029","layer":2},{"info":"NaN∘⊺⇮2029=NaN","layer":1},{"info":"⊺⇮-95260⨽∌NaN=NaN","layer":0}]}
{"id":696,"expression_no_base_symbol":"⨴⫝(($4199$≹⇙⪍$1412$)⩖⊿($2870$∛$5890$)⋫)","expression":"⨴⫝((⊺⇮4199≹⇙⪍⊺⇮1412)⩖⊿(⊺⇮2870∛⊺⇮5890)⋫)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":203,"operation_count":5,"complexity_ratio":40.6,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4199,"base":10},"right_expr":{"type":"numeric_atoms","value":1412,"base":10}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2870,"base":10},"right_expr":{"type":"numeric_atoms","value":5890,"base":10}}}}},"used_operators":["SVb2v531z1","JL8yIekQnl","RZ5CV9rWsJ","AHs5Up7iyr","w2537kitQq"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","tmPS8pqC7x","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","dWAJyo7jo9","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=4199","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=4199, right_input=1412, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2870","layer":4},{"info":"number node, value=5890","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=5890, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨴⫝((⊺⇮4199≹⇙⪍⊺⇮1412)⩖⊿(⊺⇮2870∛⊺⇮5890)⋫)=NaN","reverse_text":"NaN=⨴⫝((⊺⇮4199≹⇙⪍⊺⇮1412)⩖⊿(⊺⇮2870∛⊺⇮5890)⋫)","cot":[{"info":"⊺⇮4199≹⇙⪍⊺⇮1412=NaN","layer":3},{"info":"⊺⇮2870∛⊺⇮5890=⊺⇮-670","layer":3},{"info":"NaN⩖⊿⊺⇮-670=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"⨴⫝NaN=NaN","layer":0}]}
{"id":697,"expression_no_base_symbol":"(($2742$⇪⋭)/$2097$⩧⪆$3341$)↹⊜(∑⇻≧$6787$)⪃⊛⇣($4685$⪛⫼$1811$)⊲⩕⊾(⋠∜(($1198$⋾⨃∁$1086$)⪥($6923$⊬⨰$3466$)))","expression":"((⊺⇮2742⇪⋭)/⊺⇮2097⩧⪆⊺⇮3341)↹⊜(∑⇻≧⊺⇮6787)⪃⊛⇣(⊺⇮4685⪛⫼⊺⇮1811)⊲⩕⊾(⋠∜((⊺⇮1198⋾⨃∁⊺⇮1086)⪥(⊺⇮6923⊬⨰⊺⇮3466)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":727883,"operation_count":12,"complexity_ratio":60656.916666666664,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":2742,"base":10}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2097,"base":10},"right_expr":{"type":"numeric_atoms","value":3341,"base":10}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":6787,"base":10}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4685,"base":10},"right_expr":{"type":"numeric_atoms","value":1811,"base":10}}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1198,"base":10},"right_expr":{"type":"numeric_atoms","value":1086,"base":10}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6923,"base":10},"right_expr":{"type":"numeric_atoms","value":3466,"base":10}}}}},"used_operators":["DmTXOeWf9t","9bazX3JMtO","XhwjNDsVaA","Z8Yg6dlDSp","Ikt5ks8PT7","rrgAzCduG9","l1M9WJ3V7u","hyuBjUqXlG","ZJpFhNJr3x","QbnwKVWMIQ","212REbPD9h","s3Fd5m9Dh2"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","eewbuw0ToL","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2742","layer":4},{"info":"compute unary expreesion, input=2742, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=2097","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=3341, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3341","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3341, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6787","layer":4},{"info":"compute unary expreesion, input=6787, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=4685","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=4685, right_input=1811, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=968, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=1198","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=1086, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=11780834","layer":3},{"info":"number node, value=6923","layer":4},{"info":"number node, value=3466","layer":4},{"info":"compute binary expreesion, left_input=6923, right_input=3466, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=19731","layer":3},{"info":"compute binary expreesion, left_input=11780834, right_input=19731, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=47127988","layer":2},{"info":"compute unary expreesion, input=47127988, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=188514236","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=188514236, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2742⇪⋭)/⊺⇮2097⩧⪆⊺⇮3341)↹⊜(∑⇻≧⊺⇮6787)⪃⊛⇣(⊺⇮4685⪛⫼⊺⇮1811)⊲⩕⊾(⋠∜((⊺⇮1198⋾⨃∁⊺⇮1086)⪥(⊺⇮6923⊬⨰⊺⇮3466)))=NaN","reverse_text":"NaN=((⊺⇮2742⇪⋭)/⊺⇮2097⩧⪆⊺⇮3341)↹⊜(∑⇻≧⊺⇮6787)⪃⊛⇣(⊺⇮4685⪛⫼⊺⇮1811)⊲⩕⊾(⋠∜((⊺⇮1198⋾⨃∁⊺⇮1086)⪥(⊺⇮6923⊬⨰⊺⇮3466)))","cot":[{"info":"⊺⇮2742⇪⋭=NaN","layer":3},{"info":"⊺⇮2097⩧⪆⊺⇮3341=⊺⇮-3341","layer":3},{"info":"NaN/⊺⇮-3341=NaN","layer":2},{"info":"∑⇻≧⊺⇮6787=⊺⇮-852","layer":3},{"info":"⊺⇮4685⪛⫼⊺⇮1811=⊺⇮968","layer":3},{"info":"⊺⇮-852⪃⊛⇣⊺⇮968=⊺⇮1234","layer":2},{"info":"NaN↹⊜⊺⇮1234=NaN","layer":1},{"info":"⊺⇮1198⋾⨃∁⊺⇮1086=⊺⇮11780834","layer":3},{"info":"⊺⇮6923⊬⨰⊺⇮3466=⊺⇮19731","layer":3},{"info":"⊺⇮11780834⪥⊺⇮19731=⊺⇮47127988","layer":2},{"info":"⋠∜⊺⇮47127988=⊺⇮188514236","layer":1},{"info":"NaN⊲⩕⊾⊺⇮188514236=NaN","layer":0}]}
{"id":698,"expression_no_base_symbol":"($2290$⫘$3738$∖$7923$⩚⊴⇥$3142$)≄⊠($7734$⇄$1114$)≝⊿($1796$⪉⨛$3358$)⫲≸⪮($4747$⨭⪣$1141$)⨂≜($3136$↞⋁$1691$)⪪($2611$≀⫉$3230$⫳≱↱$3092$≎⪠$5918$)","expression":"(⊺⇮2290⫘⊺⇮3738∖⊺⇮7923⩚⊴⇥⊺⇮3142)≄⊠(⊺⇮7734⇄⊺⇮1114)≝⊿(⊺⇮1796⪉⨛⊺⇮3358)⫲≸⪮(⊺⇮4747⨭⪣⊺⇮1141)⨂≜(⊺⇮3136↞⋁⊺⇮1691)⪪(⊺⇮2611≀⫉⊺⇮3230⫳≱↱⊺⇮3092≎⪠⊺⇮5918)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":27667,"operation_count":15,"complexity_ratio":1844.4666666666667,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2290,"base":10},"right_expr":{"type":"numeric_atoms","value":3738,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7923,"base":10},"right_expr":{"type":"numeric_atoms","value":3142,"base":10}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":7734,"base":10},"right_expr":{"type":"numeric_atoms","value":1114,"base":10}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1796,"base":10},"right_expr":{"type":"numeric_atoms","value":3358,"base":10}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4747,"base":10},"right_expr":{"type":"numeric_atoms","value":1141,"base":10}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3136,"base":10},"right_expr":{"type":"numeric_atoms","value":1691,"base":10}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2611,"base":10},"right_expr":{"type":"numeric_atoms","value":3230,"base":10}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3092,"base":10},"right_expr":{"type":"numeric_atoms","value":5918,"base":10}}}}},"used_operators":["P3lXMJvFrc","vXNesLlMH1","tXD093vOjl","48vC8HMD2b","NTOWxs364D","OKKcZfAt5B","3EYGwJThht","EWw2JM7wp4","xD69zh8xqp","k1SHOSEABc","kn8WO9XteQ","RqrPlJkxDo","ZvLB05nZmT","oZj3VtZNQx","aNhz54LH3e"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⊺⇮1500","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2290","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=3738, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2697445","layer":3},{"info":"number node, value=7923","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=7923, right_input=3142, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11186","layer":3},{"info":"compute binary expreesion, left_input=2697445, right_input=-11186, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=7734","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=7734, right_input=1114, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=3358","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=3358, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2245","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2245, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5023","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5023, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=4747","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=4747, right_input=1141, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3468","layer":3},{"info":"number node, value=3136","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=3136, right_input=1691, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3468, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2611","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=3230, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=3092","layer":4},{"info":"number node, value=5918","layer":4},{"info":"compute binary expreesion, left_input=3092, right_input=5918, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=19558, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1500","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2290⫘⊺⇮3738∖⊺⇮7923⩚⊴⇥⊺⇮3142)≄⊠(⊺⇮7734⇄⊺⇮1114)≝⊿(⊺⇮1796⪉⨛⊺⇮3358)⫲≸⪮(⊺⇮4747⨭⪣⊺⇮1141)⨂≜(⊺⇮3136↞⋁⊺⇮1691)⪪(⊺⇮2611≀⫉⊺⇮3230⫳≱↱⊺⇮3092≎⪠⊺⇮5918)=⊺⇮1500","reverse_text":"⊺⇮1500=(⊺⇮2290⫘⊺⇮3738∖⊺⇮7923⩚⊴⇥⊺⇮3142)≄⊠(⊺⇮7734⇄⊺⇮1114)≝⊿(⊺⇮1796⪉⨛⊺⇮3358)⫲≸⪮(⊺⇮4747⨭⪣⊺⇮1141)⨂≜(⊺⇮3136↞⋁⊺⇮1691)⪪(⊺⇮2611≀⫉⊺⇮3230⫳≱↱⊺⇮3092≎⪠⊺⇮5918)","cot":[{"info":"⊺⇮2290⫘⊺⇮3738=⊺⇮2697445","layer":3},{"info":"⊺⇮7923⩚⊴⇥⊺⇮3142=⊺⇮-11186","layer":3},{"info":"⊺⇮2697445∖⊺⇮-11186=⊺⇮0","layer":2},{"info":"⊺⇮7734⇄⊺⇮1114=⊺⇮0","layer":3},{"info":"⊺⇮1796⪉⨛⊺⇮3358=⊺⇮2245","layer":3},{"info":"⊺⇮0≝⊿⊺⇮2245=⊺⇮-5023","layer":2},{"info":"⊺⇮0≄⊠⊺⇮-5023=⊺⇮1500","layer":1},{"info":"⊺⇮4747⨭⪣⊺⇮1141=⊺⇮3468","layer":3},{"info":"⊺⇮3136↞⋁⊺⇮1691=NaN","layer":3},{"info":"⊺⇮3468⨂≜NaN=NaN","layer":2},{"info":"⊺⇮2611≀⫉⊺⇮3230=⊺⇮2822","layer":3},{"info":"⊺⇮3092≎⪠⊺⇮5918=⊺⇮19558","layer":3},{"info":"⊺⇮2822⫳≱↱⊺⇮19558=⊺⇮-204","layer":2},{"info":"NaN⪪⊺⇮-204=NaN","layer":1},{"info":"⊺⇮1500⫲≸⪮NaN=⊺⇮1500","layer":0}]}
{"id":699,"expression_no_base_symbol":"($1564$≹⇙⪍$5498$⪍↜⋙(≔$1723$))⨽∌($1520$⇡⇂$1044$⫥∨⫟($1309$↺$6278$))⩌⋺((⋠∜($6223$⊝))↱($4565$⩨$2067$⫦⪉$3762$⇴$4581$))","expression":"(⊺⇮1564≹⇙⪍⊺⇮5498⪍↜⋙(≔⊺⇮1723))⨽∌(⊺⇮1520⇡⇂⊺⇮1044⫥∨⫟(⊺⇮1309↺⊺⇮6278))⩌⋺((⋠∜(⊺⇮6223⊝))↱(⊺⇮4565⩨⊺⇮2067⫦⪉⊺⇮3762⇴⊺⇮4581))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7473,"operation_count":14,"complexity_ratio":533.7857142857143,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1564,"base":10},"right_expr":{"type":"numeric_atoms","value":5498,"base":10}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1723,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1520,"base":10},"right_expr":{"type":"numeric_atoms","value":1044,"base":10}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1309,"base":10},"right_expr":{"type":"numeric_atoms","value":6278,"base":10}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":6223,"base":10}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4565,"base":10},"right_expr":{"type":"numeric_atoms","value":2067,"base":10}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3762,"base":10},"right_expr":{"type":"numeric_atoms","value":4581,"base":10}}}}},"used_operators":["g7Hmc5v1ko","9samAPKr6k","L05ObWFQCd","AHs5Up7iyr","8FLs4eVsLt","KYD54nUTWz","UMwdvZNt44","7j4O788W3g","SR5kFfdi6N","ZJpFhNJr3x","O6EZ0fifGK","wscyQdcy20","2DlMacCsIx","4JB6nKBMSY"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","dWAJyo7jo9","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1564","layer":4},{"info":"number node, value=5498","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=5498, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-46950","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-46950, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"number node, value=1520","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=1044, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1309","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=6278, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6278","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6278, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"number node, value=6223","layer":4},{"info":"compute unary expreesion, input=6223, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=6223","layer":3},{"info":"compute unary expreesion, input=6223, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=27176","layer":2},{"info":"number node, value=4565","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=2067, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3762","layer":4},{"info":"number node, value=4581","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=4581, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=31348","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=31348, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":2},{"info":"compute binary expreesion, left_input=27176, right_input=4900, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-14178","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14178, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1564≹⇙⪍⊺⇮5498⪍↜⋙(≔⊺⇮1723))⨽∌(⊺⇮1520⇡⇂⊺⇮1044⫥∨⫟(⊺⇮1309↺⊺⇮6278))⩌⋺((⋠∜(⊺⇮6223⊝))↱(⊺⇮4565⩨⊺⇮2067⫦⪉⊺⇮3762⇴⊺⇮4581))=NaN","reverse_text":"NaN=(⊺⇮1564≹⇙⪍⊺⇮5498⪍↜⋙(≔⊺⇮1723))⨽∌(⊺⇮1520⇡⇂⊺⇮1044⫥∨⫟(⊺⇮1309↺⊺⇮6278))⩌⋺((⋠∜(⊺⇮6223⊝))↱(⊺⇮4565⩨⊺⇮2067⫦⪉⊺⇮3762⇴⊺⇮4581))","cot":[{"info":"⊺⇮1564≹⇙⪍⊺⇮5498=NaN","layer":3},{"info":"≔⊺⇮1723=⊺⇮-46950","layer":3},{"info":"NaN⪍↜⋙⊺⇮-46950=NaN","layer":2},{"info":"⊺⇮1520⇡⇂⊺⇮1044=NaN","layer":3},{"info":"⊺⇮1309↺⊺⇮6278=⊺⇮6278","layer":3},{"info":"NaN⫥∨⫟⊺⇮6278=NaN","layer":2},{"info":"NaN⨽∌NaN=NaN","layer":1},{"info":"⊺⇮6223⊝=⊺⇮6223","layer":3},{"info":"⋠∜⊺⇮6223=⊺⇮27176","layer":2},{"info":"⊺⇮4565⩨⊺⇮2067=⊺⇮0","layer":3},{"info":"⊺⇮3762⇴⊺⇮4581=⊺⇮31348","layer":3},{"info":"⊺⇮0⫦⪉⊺⇮31348=⊺⇮4900","layer":2},{"info":"⊺⇮27176↱⊺⇮4900=⊺⇮-14178","layer":1},{"info":"NaN⩌⋺⊺⇮-14178=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"∂(($1209$⩺⪪$1856$)⇍⊗($1924$⩚⊴⇥$5022$)⊾⪯⋞(⩪∧⨌$2046$)≀⩗∶$2984$⨼⩣$5314$)","expression":"∂((⊺⇮1209⩺⪪⊺⇮1856)⇍⊗(⊺⇮1924⩚⊴⇥⊺⇮5022)⊾⪯⋞(⩪∧⨌⊺⇮2046)≀⩗∶⊺⇮2984⨼⩣⊺⇮5314)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1036,"operation_count":8,"complexity_ratio":129.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1209,"base":10},"right_expr":{"type":"numeric_atoms","value":1856,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1924,"base":10},"right_expr":{"type":"numeric_atoms","value":5022,"base":10}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2046,"base":10}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2984,"base":10},"right_expr":{"type":"numeric_atoms","value":5314,"base":10}}}}},"used_operators":["Uaa54Peajs","HK0tfVPux8","5uvYHDjeKN","uvdQJvN4PV","NTOWxs364D","8INZBEW696","6iOiAJX1F8","JxwMv5le6e"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1856, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=1924","layer":4},{"info":"number node, value=5022","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=5022, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7067","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=-7067, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2046","layer":4},{"info":"compute unary expreesion, input=2046, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=20460","layer":3},{"info":"number node, value=2984","layer":4},{"info":"number node, value=5314","layer":4},{"info":"compute binary expreesion, left_input=2984, right_input=5314, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20460, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"∂((⊺⇮1209⩺⪪⊺⇮1856)⇍⊗(⊺⇮1924⩚⊴⇥⊺⇮5022)⊾⪯⋞(⩪∧⨌⊺⇮2046)≀⩗∶⊺⇮2984⨼⩣⊺⇮5314)=NaN","reverse_text":"NaN=∂((⊺⇮1209⩺⪪⊺⇮1856)⇍⊗(⊺⇮1924⩚⊴⇥⊺⇮5022)⊾⪯⋞(⩪∧⨌⊺⇮2046)≀⩗∶⊺⇮2984⨼⩣⊺⇮5314)","cot":[{"info":"⊺⇮1209⩺⪪⊺⇮1856=⊺⇮-1818","layer":3},{"info":"⊺⇮1924⩚⊴⇥⊺⇮5022=⊺⇮-7067","layer":3},{"info":"⊺⇮-1818⇍⊗⊺⇮-7067=⊺⇮-244","layer":2},{"info":"⩪∧⨌⊺⇮2046=⊺⇮20460","layer":3},{"info":"⊺⇮2984⨼⩣⊺⇮5314=NaN","layer":3},{"info":"⊺⇮20460≀⩗∶NaN=NaN","layer":2},{"info":"⊺⇮-244⊾⪯⋞NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":701,"expression_no_base_symbol":"($2563$⪔⊥$3276$-($4382$⊭∹↮))⪘⫢($2333$-$1037$)⩘(⇾⩊⇾$1650$)⊹∫⫚($4156$⩘$1144$)⇻⋧≁($2124$≴⪞⇿$1892$)∌($9800$⇴$2046$⫚↹⊑(⩦⊞$7798$))","expression":"(⊺⇮2563⪔⊥⊺⇮3276-(⊺⇮4382⊭∹↮))⪘⫢(⊺⇮2333-⊺⇮1037)⩘(⇾⩊⇾⊺⇮1650)⊹∫⫚(⊺⇮4156⩘⊺⇮1144)⇻⋧≁(⊺⇮2124≴⪞⇿⊺⇮1892)∌(⊺⇮9800⇴⊺⇮2046⫚↹⊑(⩦⊞⊺⇮7798))","highest_n_order":2,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2357,"operation_count":15,"complexity_ratio":157.13333333333333,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2563,"base":10},"right_expr":{"type":"numeric_atoms","value":3276,"base":10}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4382,"base":10}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2333,"base":10},"right_expr":{"type":"numeric_atoms","value":1037,"base":10}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1650,"base":10}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4156,"base":10},"right_expr":{"type":"numeric_atoms","value":1144,"base":10}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2124,"base":10},"right_expr":{"type":"numeric_atoms","value":1892,"base":10}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":9800,"base":10},"right_expr":{"type":"numeric_atoms","value":2046,"base":10}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":7798,"base":10}}}}},"used_operators":["uWAJUKEvyW","oacrs7FA3X","rysDP5nf3Z","HJ9erzHUuu","xNBdhnnwKq","cHh1gJQ2o6","bx9Z9DAK5y","8cLx32lpNA","jCPkEVoL5K","lvlrscuwVU","dfKe02y8D2","4JB6nKBMSY","u7fv1HBiaC"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"⊺⇮-148","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2563","layer":4},{"info":"number node, value=3276","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=3276, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3501","layer":3},{"info":"number node, value=4382","layer":4},{"info":"compute unary expreesion, input=4382, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8764","layer":3},{"info":"compute binary expreesion, left_input=3501, right_input=8764, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5263","layer":2},{"info":"number node, value=2333","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=1037, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1296","layer":3},{"info":"number node, value=1650","layer":4},{"info":"compute unary expreesion, input=1650, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-21336","layer":3},{"info":"compute binary expreesion, left_input=1296, right_input=-21336, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-5263, right_input=160, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"number node, value=4156","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=1144, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2124","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=1892, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=6852636","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6852636, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-1225","layer":2},{"info":"number node, value=9800","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=9800, right_input=2046, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=62506","layer":3},{"info":"number node, value=7798","layer":4},{"info":"compute unary expreesion, input=7798, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-7525","layer":3},{"info":"compute binary expreesion, left_input=62506, right_input=-7525, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-1225, right_input=-447, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1225","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-1225, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-148","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2563⪔⊥⊺⇮3276-(⊺⇮4382⊭∹↮))⪘⫢(⊺⇮2333-⊺⇮1037)⩘(⇾⩊⇾⊺⇮1650)⊹∫⫚(⊺⇮4156⩘⊺⇮1144)⇻⋧≁(⊺⇮2124≴⪞⇿⊺⇮1892)∌(⊺⇮9800⇴⊺⇮2046⫚↹⊑(⩦⊞⊺⇮7798))=⊺⇮-148","reverse_text":"⊺⇮-148=(⊺⇮2563⪔⊥⊺⇮3276-(⊺⇮4382⊭∹↮))⪘⫢(⊺⇮2333-⊺⇮1037)⩘(⇾⩊⇾⊺⇮1650)⊹∫⫚(⊺⇮4156⩘⊺⇮1144)⇻⋧≁(⊺⇮2124≴⪞⇿⊺⇮1892)∌(⊺⇮9800⇴⊺⇮2046⫚↹⊑(⩦⊞⊺⇮7798))","cot":[{"info":"⊺⇮2563⪔⊥⊺⇮3276=⊺⇮3501","layer":3},{"info":"⊺⇮4382⊭∹↮=⊺⇮8764","layer":3},{"info":"⊺⇮3501-⊺⇮8764=⊺⇮-5263","layer":2},{"info":"⊺⇮2333-⊺⇮1037=⊺⇮1296","layer":3},{"info":"⇾⩊⇾⊺⇮1650=⊺⇮-21336","layer":3},{"info":"⊺⇮1296⩘⊺⇮-21336=⊺⇮160","layer":2},{"info":"⊺⇮-5263⪘⫢⊺⇮160=⊺⇮-1","layer":1},{"info":"⊺⇮4156⩘⊺⇮1144=⊺⇮160","layer":3},{"info":"⊺⇮2124≴⪞⇿⊺⇮1892=⊺⇮6852636","layer":3},{"info":"⊺⇮160⇻⋧≁⊺⇮6852636=⊺⇮-1225","layer":2},{"info":"⊺⇮9800⇴⊺⇮2046=⊺⇮62506","layer":3},{"info":"⩦⊞⊺⇮7798=⊺⇮-7525","layer":3},{"info":"⊺⇮62506⫚↹⊑⊺⇮-7525=⊺⇮-447","layer":2},{"info":"⊺⇮-1225∌⊺⇮-447=⊺⇮-1225","layer":1},{"info":"⊺⇮-1⊹∫⫚⊺⇮-1225=⊺⇮-148","layer":0}]}
{"id":702,"expression_no_base_symbol":"((∡$5312$⋕⪉⪜$8592$)⫌⩉⩟($5091$⊋≦⊧$3783$⪁$1771$⫢⨠$2889$))↤⩊(($1273$⫢⨠$1724$⊾⪯⋞$2586$+⪬∐$2372$)⨰($5157$⨔≚≋$5296$)⪟⇏($1574$⨚⇆$1781$))","expression":"((∡⊺⇮5312⋕⪉⪜⊺⇮8592)⫌⩉⩟(⊺⇮5091⊋≦⊧⊺⇮3783⪁⊺⇮1771⫢⨠⊺⇮2889))↤⩊((⊺⇮1273⫢⨠⊺⇮1724⊾⪯⋞⊺⇮2586+⪬∐⊺⇮2372)⨰(⊺⇮5157⨔≚≋⊺⇮5296)⪟⇏(⊺⇮1574⨚⇆⊺⇮1781))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":475685,"operation_count":14,"complexity_ratio":33977.5,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":5312,"base":10},"right_expr":{"type":"numeric_atoms","value":8592,"base":10}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5091,"base":10},"right_expr":{"type":"numeric_atoms","value":3783,"base":10}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1771,"base":10},"right_expr":{"type":"numeric_atoms","value":2889,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1273,"base":10},"right_expr":{"type":"numeric_atoms","value":1724,"base":10}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2586,"base":10},"right_expr":{"type":"numeric_atoms","value":2372,"base":10}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":5157,"base":10},"right_expr":{"type":"numeric_atoms","value":5296,"base":10}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1574,"base":10},"right_expr":{"type":"numeric_atoms","value":1781,"base":10}}}}},"used_operators":["13rbtpv6ld","XIIwhv8d0m","pRsWfj4Fpp","z6LnFrNh4i","I7sXao9hZE","oRDoc9rAEX","xlXykHWxX1","eewbuw0ToL","HK0tfVPux8","2GS7woTJqF","GODebY97qR","Z57zeUYC9z","lwHaAYXP2r"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","D4vGDi5EA2","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5312","layer":4},{"info":"number node, value=8592","layer":4},{"info":"compute binary expreesion, left_input=5312, right_input=8592, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-204","layer":2},{"info":"number node, value=5091","layer":4},{"info":"number node, value=3783","layer":4},{"info":"compute binary expreesion, left_input=5091, right_input=3783, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-7326","layer":3},{"info":"number node, value=1771","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=2889, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-7326, right_input=160, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1273","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=1724, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2586","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=2372, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7758","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-7758, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"number node, value=5157","layer":4},{"info":"number node, value=5296","layer":4},{"info":"compute binary expreesion, left_input=5157, right_input=5296, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1574","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=1781, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=-1, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-809","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=-809, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∡⊺⇮5312⋕⪉⪜⊺⇮8592)⫌⩉⩟(⊺⇮5091⊋≦⊧⊺⇮3783⪁⊺⇮1771⫢⨠⊺⇮2889))↤⩊((⊺⇮1273⫢⨠⊺⇮1724⊾⪯⋞⊺⇮2586+⪬∐⊺⇮2372)⨰(⊺⇮5157⨔≚≋⊺⇮5296)⪟⇏(⊺⇮1574⨚⇆⊺⇮1781))=NaN","reverse_text":"NaN=((∡⊺⇮5312⋕⪉⪜⊺⇮8592)⫌⩉⩟(⊺⇮5091⊋≦⊧⊺⇮3783⪁⊺⇮1771⫢⨠⊺⇮2889))↤⩊((⊺⇮1273⫢⨠⊺⇮1724⊾⪯⋞⊺⇮2586+⪬∐⊺⇮2372)⨰(⊺⇮5157⨔≚≋⊺⇮5296)⪟⇏(⊺⇮1574⨚⇆⊺⇮1781))","cot":[{"info":"⊺⇮5312⋕⪉⪜⊺⇮8592=⊺⇮204","layer":3},{"info":"∡⊺⇮204=⊺⇮-204","layer":2},{"info":"⊺⇮5091⊋≦⊧⊺⇮3783=⊺⇮-7326","layer":3},{"info":"⊺⇮1771⫢⨠⊺⇮2889=⊺⇮160","layer":3},{"info":"⊺⇮-7326⪁⊺⇮160=NaN","layer":2},{"info":"⊺⇮-204⫌⩉⩟NaN=⊺⇮-50","layer":1},{"info":"⊺⇮1273⫢⨠⊺⇮1724=⊺⇮160","layer":3},{"info":"⊺⇮2586+⪬∐⊺⇮2372=⊺⇮-7758","layer":3},{"info":"⊺⇮160⊾⪯⋞⊺⇮-7758=⊺⇮-820","layer":2},{"info":"⊺⇮5157⨔≚≋⊺⇮5296=⊺⇮9872","layer":3},{"info":"⊺⇮1574⨚⇆⊺⇮1781=NaN","layer":3},{"info":"⊺⇮9872⪟⇏NaN=⊺⇮-1","layer":2},{"info":"⊺⇮-820⨰⊺⇮-1=⊺⇮-809","layer":1},{"info":"⊺⇮-50↤⩊⊺⇮-809=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"⊄⩳↩(↣≠⋷$3583$)∓⋝$3077$≁↽≥$1056$⊝⪿⪼(($1051$⊉≛↸$3522$)≃(∑⇻≧$7784$))","expression":"⊄⩳↩(↣≠⋷⊺⇮3583)∓⋝⊺⇮3077≁↽≥⊺⇮1056⊝⪿⪼((⊺⇮1051⊉≛↸⊺⇮3522)≃(∑⇻≧⊺⇮7784))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":93,"operation_count":8,"complexity_ratio":11.625,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3583,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3077,"base":10},"right_expr":{"type":"numeric_atoms","value":1056,"base":10}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1051,"base":10},"right_expr":{"type":"numeric_atoms","value":3522,"base":10}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":7784,"base":10}}}}},"used_operators":["8w2t5hMYqp","3Oe9XWJUTD","PoHhknlbAi","Asc51vEJeQ","ncHt1X6cMc","YbVcJGFEVW","DZ8iAZOCBD","l1M9WJ3V7u"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","XhwjNDsVaA","AHs5Up7iyr","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"⊺⇮-32811","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3583","layer":4},{"info":"compute unary expreesion, input=3583, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3077","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=3077, right_input=1056, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=47733","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=47733, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=3522","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=3522, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2102","layer":3},{"info":"number node, value=7784","layer":4},{"info":"compute unary expreesion, input=7784, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=2102, right_input=-852, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=3368","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=3368, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=10937","layer":1},{"info":"compute unary expreesion, input=10937, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-32811","layer":0}],"base":10,"result_base":10,"text":"⊄⩳↩(↣≠⋷⊺⇮3583)∓⋝⊺⇮3077≁↽≥⊺⇮1056⊝⪿⪼((⊺⇮1051⊉≛↸⊺⇮3522)≃(∑⇻≧⊺⇮7784))=⊺⇮-32811","reverse_text":"⊺⇮-32811=⊄⩳↩(↣≠⋷⊺⇮3583)∓⋝⊺⇮3077≁↽≥⊺⇮1056⊝⪿⪼((⊺⇮1051⊉≛↸⊺⇮3522)≃(∑⇻≧⊺⇮7784))","cot":[{"info":"↣≠⋷⊺⇮3583=NaN","layer":3},{"info":"⊺⇮3077≁↽≥⊺⇮1056=⊺⇮47733","layer":3},{"info":"NaN∓⋝⊺⇮47733=⊺⇮67","layer":2},{"info":"⊺⇮1051⊉≛↸⊺⇮3522=⊺⇮2102","layer":3},{"info":"∑⇻≧⊺⇮7784=⊺⇮-852","layer":3},{"info":"⊺⇮2102≃⊺⇮-852=⊺⇮3368","layer":2},{"info":"⊺⇮67⊝⪿⪼⊺⇮3368=⊺⇮10937","layer":1},{"info":"⊄⩳↩⊺⇮10937=⊺⇮-32811","layer":0}]}
{"id":704,"expression_no_base_symbol":"((∥⊫$1358$)≬⇓$1538$≨$2563$)↳≱($1001$+⇶⊼$2966$⫚↹⊑(⪫⨮⊛$1382$))⪠⩆⊳","expression":"((∥⊫⊺⇮1358)≬⇓⊺⇮1538≨⊺⇮2563)↳≱(⊺⇮1001+⇶⊼⊺⇮2966⫚↹⊑(⪫⨮⊛⊺⇮1382))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":165,"operation_count":8,"complexity_ratio":20.625,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1358,"base":10}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1538,"base":10},"right_expr":{"type":"numeric_atoms","value":2563,"base":10}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":2966,"base":10}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1382,"base":10}}}}},"used_operators":["JLbD19bQDL","JwTKLfZU96","jWTQ2TZYIH","P8v4zCKN1o","0KMCeP1Jsh","dfKe02y8D2","TpPTUOHfaN","w5FWba1tyO"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","AHs5Up7iyr","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2226","layer":3},{"info":"number node, value=1538","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=2563, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12904","layer":3},{"info":"compute binary expreesion, left_input=2226, right_input=-12904, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-2799","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2966, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1382","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1382, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-2799, right_input=-447, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((∥⊫⊺⇮1358)≬⇓⊺⇮1538≨⊺⇮2563)↳≱(⊺⇮1001+⇶⊼⊺⇮2966⫚↹⊑(⪫⨮⊛⊺⇮1382))⪠⩆⊳=⊺⇮0","reverse_text":"⊺⇮0=((∥⊫⊺⇮1358)≬⇓⊺⇮1538≨⊺⇮2563)↳≱(⊺⇮1001+⇶⊼⊺⇮2966⫚↹⊑(⪫⨮⊛⊺⇮1382))⪠⩆⊳","cot":[{"info":"∥⊫⊺⇮1358=⊺⇮2226","layer":3},{"info":"⊺⇮1538≨⊺⇮2563=⊺⇮-12904","layer":3},{"info":"⊺⇮2226≬⇓⊺⇮-12904=⊺⇮-2799","layer":2},{"info":"⊺⇮1001+⇶⊼⊺⇮2966=NaN","layer":3},{"info":"⪫⨮⊛⊺⇮1382=⊺⇮1382","layer":3},{"info":"NaN⫚↹⊑⊺⇮1382=⊺⇮-447","layer":2},{"info":"⊺⇮-2799↳≱⊺⇮-447=⊺⇮0","layer":1},{"info":"⊺⇮0⪠⩆⊳=⊺⇮0","layer":0}]}
{"id":705,"expression_no_base_symbol":"(($7191$⫦⪉$2471$%($1446$∕⩚$1151$))⇔⨋)⫻⋑⊟","expression":"((⊺⇮7191⫦⪉⊺⇮2471%(⊺⇮1446∕⩚⊺⇮1151))⇔⨋)⫻⋑⊟","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1526,"operation_count":5,"complexity_ratio":305.2,"tree":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7191,"base":10},"right_expr":{"type":"numeric_atoms","value":2471,"base":10}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1446,"base":10},"right_expr":{"type":"numeric_atoms","value":1151,"base":10}}}}},"used_operators":["o575Zjdmzy","uBihLCJcMX","k8jYdgA6NY","wscyQdcy20","z9ffQ9n5Zr"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⊺⇮-1212","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7191","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=7191, right_input=2471, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-9482","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=1151, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1449","layer":3},{"info":"compute binary expreesion, left_input=-9482, right_input=-1449, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-788","layer":2},{"info":"compute unary expreesion, input=-788, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":1},{"info":"compute unary expreesion, input=287, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-1212","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7191⫦⪉⊺⇮2471%(⊺⇮1446∕⩚⊺⇮1151))⇔⨋)⫻⋑⊟=⊺⇮-1212","reverse_text":"⊺⇮-1212=((⊺⇮7191⫦⪉⊺⇮2471%(⊺⇮1446∕⩚⊺⇮1151))⇔⨋)⫻⋑⊟","cot":[{"info":"⊺⇮7191⫦⪉⊺⇮2471=⊺⇮-9482","layer":3},{"info":"⊺⇮1446∕⩚⊺⇮1151=⊺⇮-1449","layer":3},{"info":"⊺⇮-9482%⊺⇮-1449=⊺⇮-788","layer":2},{"info":"⊺⇮-788⇔⨋=⊺⇮287","layer":1},{"info":"⊺⇮287⫻⋑⊟=⊺⇮-1212","layer":0}]}
{"id":706,"expression_no_base_symbol":"((($3231$⫩)∽$1636$↢$1457$)⩷∴($6417$⩺⪪$1393$)⋕⪉⪜($6438$⪘⫢$1317$))⪒⊣⊆((↪⫪⫘($5215$∠↢$4368$))⨟⋌⩍(⊈(⫓⪴$1113$)))","expression":"(((⊺⇮3231⫩)∽⊺⇮1636↢⊺⇮1457)⩷∴(⊺⇮6417⩺⪪⊺⇮1393)⋕⪉⪜(⊺⇮6438⪘⫢⊺⇮1317))⪒⊣⊆((↪⫪⫘(⊺⇮5215∠↢⊺⇮4368))⨟⋌⩍(⊈(⫓⪴⊺⇮1113)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7770,"operation_count":13,"complexity_ratio":597.6923076923077,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":3231,"base":10}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1636,"base":10},"right_expr":{"type":"numeric_atoms","value":1457,"base":10}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":6417,"base":10},"right_expr":{"type":"numeric_atoms","value":1393,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6438,"base":10},"right_expr":{"type":"numeric_atoms","value":1317,"base":10}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":5215,"base":10},"right_expr":{"type":"numeric_atoms","value":4368,"base":10}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1113,"base":10}}}}},"used_operators":["eRqsBgTDFp","9FxExcQeMw","y4ImoPnbV5","6aG7x05OhS","WR6HLWljOP","z6LnFrNh4i","uvdQJvN4PV","oacrs7FA3X","rGHVDoGpnC","9dWsAM3GFt","KbjG8mgYpV","RHru8klgy8","eLxqMNBOBk"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","dWAJyo7jo9","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","12rbrZMWeM","xUOZtlo3hN","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3231","layer":4},{"info":"compute unary expreesion, input=3231, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1636","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=1457, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1152","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1152, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=6417","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=6417, right_input=1393, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-81282","layer":3},{"info":"number node, value=6438","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=6438, right_input=1317, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12752","layer":3},{"info":"compute binary expreesion, left_input=-81282, right_input=12752, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=5215","layer":4},{"info":"number node, value=4368","layer":4},{"info":"compute binary expreesion, left_input=5215, right_input=4368, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-80930","layer":3},{"info":"compute unary expreesion, input=-80930, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1238769","layer":3},{"info":"compute unary expreesion, input=1238769, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1238943","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=-1238943, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮3231⫩)∽⊺⇮1636↢⊺⇮1457)⩷∴(⊺⇮6417⩺⪪⊺⇮1393)⋕⪉⪜(⊺⇮6438⪘⫢⊺⇮1317))⪒⊣⊆((↪⫪⫘(⊺⇮5215∠↢⊺⇮4368))⨟⋌⩍(⊈(⫓⪴⊺⇮1113)))=NaN","reverse_text":"NaN=(((⊺⇮3231⫩)∽⊺⇮1636↢⊺⇮1457)⩷∴(⊺⇮6417⩺⪪⊺⇮1393)⋕⪉⪜(⊺⇮6438⪘⫢⊺⇮1317))⪒⊣⊆((↪⫪⫘(⊺⇮5215∠↢⊺⇮4368))⨟⋌⩍(⊈(⫓⪴⊺⇮1113)))","cot":[{"info":"⊺⇮3231⫩=NaN","layer":3},{"info":"⊺⇮1636↢⊺⇮1457=⊺⇮1152","layer":3},{"info":"NaN∽⊺⇮1152=NaN","layer":2},{"info":"⊺⇮6417⩺⪪⊺⇮1393=⊺⇮-81282","layer":3},{"info":"⊺⇮6438⪘⫢⊺⇮1317=⊺⇮12752","layer":3},{"info":"⊺⇮-81282⋕⪉⪜⊺⇮12752=⊺⇮204","layer":2},{"info":"NaN⩷∴⊺⇮204=NaN","layer":1},{"info":"⊺⇮5215∠↢⊺⇮4368=⊺⇮-80930","layer":3},{"info":"↪⫪⫘⊺⇮-80930=⊺⇮20","layer":2},{"info":"⫓⪴⊺⇮1113=⊺⇮1238769","layer":3},{"info":"⊈⊺⇮1238769=⊺⇮-1238943","layer":2},{"info":"⊺⇮20⨟⋌⩍⊺⇮-1238943=NaN","layer":1},{"info":"NaN⪒⊣⊆NaN=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"(∐⩳⋚(⨮↦↱$5063$⨂≜$3875$))≧⫂∧(($3981$/$1057$)↼⊘⨖$3056$⫘$3911$⪒(⫓⪴($7775$≭$1058$)))","expression":"(∐⩳⋚(⨮↦↱⊺⇮5063⨂≜⊺⇮3875))≧⫂∧((⊺⇮3981/⊺⇮1057)↼⊘⨖⊺⇮3056⫘⊺⇮3911⪒(⫓⪴(⊺⇮7775≭⊺⇮1058)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8445,"operation_count":10,"complexity_ratio":844.5,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5063,"base":10},"right_expr":{"type":"numeric_atoms","value":3875,"base":10}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3981,"base":10},"right_expr":{"type":"numeric_atoms","value":1057,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3056,"base":10},"right_expr":{"type":"numeric_atoms","value":3911,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7775,"base":10},"right_expr":{"type":"numeric_atoms","value":1058,"base":10}}}}},"used_operators":["Ph9nP6C5qx","SL6IHkK8vl","sYcpBQ0cFf","k1SHOSEABc","f6k1SAg4EE","bPywburJMS","XhwjNDsVaA","48vC8HMD2b","eLxqMNBOBk","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5063","layer":4},{"info":"number node, value=3875","layer":4},{"info":"compute binary expreesion, left_input=5063, right_input=3875, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":1},{"info":"number node, value=3981","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=3981, right_input=1057, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=3056","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=3056, right_input=3911, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3598261","layer":3},{"info":"compute binary expreesion, left_input=3, right_input=3598261, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7196300","layer":2},{"info":"number node, value=7775","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=7775, right_input=1058, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7196300, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∐⩳⋚(⨮↦↱⊺⇮5063⨂≜⊺⇮3875))≧⫂∧((⊺⇮3981/⊺⇮1057)↼⊘⨖⊺⇮3056⫘⊺⇮3911⪒(⫓⪴(⊺⇮7775≭⊺⇮1058)))=NaN","reverse_text":"NaN=(∐⩳⋚(⨮↦↱⊺⇮5063⨂≜⊺⇮3875))≧⫂∧((⊺⇮3981/⊺⇮1057)↼⊘⨖⊺⇮3056⫘⊺⇮3911⪒(⫓⪴(⊺⇮7775≭⊺⇮1058)))","cot":[{"info":"⊺⇮5063⨂≜⊺⇮3875=NaN","layer":3},{"info":"⨮↦↱NaN=NaN","layer":2},{"info":"∐⩳⋚NaN=NaN","layer":1},{"info":"⊺⇮3981/⊺⇮1057=⊺⇮3","layer":3},{"info":"⊺⇮3056⫘⊺⇮3911=⊺⇮3598261","layer":3},{"info":"⊺⇮3↼⊘⨖⊺⇮3598261=⊺⇮7196300","layer":2},{"info":"⊺⇮7775≭⊺⇮1058=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⊺⇮7196300⪒NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"((≻⋜($2972$↳≱$5316$))⋳⪒($3051$↤⩊$1287$*$1481$∠⫱$1255$))⊋(∑⇻≧$3191$≎⪠$1944$⨎$5002$⊴$1229$)","expression":"((≻⋜(⊺⇮2972↳≱⊺⇮5316))⋳⪒(⊺⇮3051↤⩊⊺⇮1287*⊺⇮1481∠⫱⊺⇮1255))⊋(∑⇻≧⊺⇮3191≎⪠⊺⇮1944⨎⊺⇮5002⊴⊺⇮1229)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25760,"operation_count":11,"complexity_ratio":2341.818181818182,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2972,"base":10},"right_expr":{"type":"numeric_atoms","value":5316,"base":10}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3051,"base":10},"right_expr":{"type":"numeric_atoms","value":1287,"base":10}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1481,"base":10},"right_expr":{"type":"numeric_atoms","value":1255,"base":10}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3191,"base":10},"right_expr":{"type":"numeric_atoms","value":1944,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5002,"base":10},"right_expr":{"type":"numeric_atoms","value":1229,"base":10}}}}},"used_operators":["W4tP9CfskL","12rbrZMWeM","3tj9sqzovi","JwTKLfZU96","9HNa5Wba9A","13rbtpv6ld","QvoQhV0rrE","l1M9WJ3V7u","rJVOvQCfKK","aNhz54LH3e","Nsiff2A1zJ"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","dWAJyo7jo9","14qkJME0vr"],"result":"⊺⇮-22494","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2972","layer":4},{"info":"number node, value=5316","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=5316, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=0","layer":2},{"info":"number node, value=3051","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=3051, right_input=1287, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1255, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3191","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=3191, right_input=1944, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=5002","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=1229, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-852, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-22494","layer":0}],"base":10,"result_base":10,"text":"((≻⋜(⊺⇮2972↳≱⊺⇮5316))⋳⪒(⊺⇮3051↤⩊⊺⇮1287*⊺⇮1481∠⫱⊺⇮1255))⊋(∑⇻≧⊺⇮3191≎⪠⊺⇮1944⨎⊺⇮5002⊴⊺⇮1229)=⊺⇮-22494","reverse_text":"⊺⇮-22494=((≻⋜(⊺⇮2972↳≱⊺⇮5316))⋳⪒(⊺⇮3051↤⩊⊺⇮1287*⊺⇮1481∠⫱⊺⇮1255))⊋(∑⇻≧⊺⇮3191≎⪠⊺⇮1944⨎⊺⇮5002⊴⊺⇮1229)","cot":[{"info":"⊺⇮2972↳≱⊺⇮5316=⊺⇮0","layer":3},{"info":"≻⋜⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮3051↤⩊⊺⇮1287=NaN","layer":3},{"info":"⊺⇮1481∠⫱⊺⇮1255=⊺⇮1234","layer":3},{"info":"NaN*⊺⇮1234=NaN","layer":2},{"info":"⊺⇮0⋳⪒NaN=NaN","layer":1},{"info":"⊺⇮3191≎⪠⊺⇮1944=⊺⇮19558","layer":3},{"info":"⊺⇮5002⊴⊺⇮1229=NaN","layer":3},{"info":"⊺⇮19558⨎NaN=NaN","layer":2},{"info":"∑⇻≧NaN=⊺⇮-852","layer":1},{"info":"NaN⊋⊺⇮-852=⊺⇮-22494","layer":0}]}
{"id":709,"expression_no_base_symbol":"((⊬↢$4768$)⩘($2739$⩷∴$3966$)⨔≚≋($6088$⫒⫫$4465$)≠≀($1041$≧⫂∧$1337$))↞⋁(↪⫪⫘($2382$≝⊿$4876$∋($1500$∋$1712$)))","expression":"((⊬↢⊺⇮4768)⩘(⊺⇮2739⩷∴⊺⇮3966)⨔≚≋(⊺⇮6088⫒⫫⊺⇮4465)≠≀(⊺⇮1041≧⫂∧⊺⇮1337))↞⋁(↪⫪⫘(⊺⇮2382≝⊿⊺⇮4876∋(⊺⇮1500∋⊺⇮1712)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5407,"operation_count":12,"complexity_ratio":450.5833333333333,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":4768,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2739,"base":10},"right_expr":{"type":"numeric_atoms","value":3966,"base":10}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":6088,"base":10},"right_expr":{"type":"numeric_atoms","value":4465,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1041,"base":10},"right_expr":{"type":"numeric_atoms","value":1337,"base":10}}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2382,"base":10},"right_expr":{"type":"numeric_atoms","value":4876,"base":10}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1500,"base":10},"right_expr":{"type":"numeric_atoms","value":1712,"base":10}}}}},"used_operators":["RqrPlJkxDo","Z57zeUYC9z","cHh1gJQ2o6","WPoGxAaPR1","9FxExcQeMw","IwW236VD4Y","6Ko8hGgeMq","Ph9nP6C5qx","9dWsAM3GFt","ukq6epAj5P","OKKcZfAt5B"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4768","layer":4},{"info":"compute unary expreesion, input=4768, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=2739","layer":4},{"info":"number node, value=3966","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=3966, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2486","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=-2486, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=6088","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=6088, right_input=4465, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1337, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=864","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=864, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=2382","layer":4},{"info":"number node, value=4876","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=4876, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-12667","layer":3},{"info":"number node, value=1500","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=1712, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3571592","layer":3},{"info":"compute binary expreesion, left_input=-12667, right_input=3571592, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊬↢⊺⇮4768)⩘(⊺⇮2739⩷∴⊺⇮3966)⨔≚≋(⊺⇮6088⫒⫫⊺⇮4465)≠≀(⊺⇮1041≧⫂∧⊺⇮1337))↞⋁(↪⫪⫘(⊺⇮2382≝⊿⊺⇮4876∋(⊺⇮1500∋⊺⇮1712)))=NaN","reverse_text":"NaN=((⊬↢⊺⇮4768)⩘(⊺⇮2739⩷∴⊺⇮3966)⨔≚≋(⊺⇮6088⫒⫫⊺⇮4465)≠≀(⊺⇮1041≧⫂∧⊺⇮1337))↞⋁(↪⫪⫘(⊺⇮2382≝⊿⊺⇮4876∋(⊺⇮1500∋⊺⇮1712)))","cot":[{"info":"⊬↢⊺⇮4768=⊺⇮218","layer":3},{"info":"⊺⇮2739⩷∴⊺⇮3966=⊺⇮-2486","layer":3},{"info":"⊺⇮218⩘⊺⇮-2486=⊺⇮160","layer":2},{"info":"⊺⇮6088⫒⫫⊺⇮4465=NaN","layer":3},{"info":"⊺⇮1041≧⫂∧⊺⇮1337=⊺⇮864","layer":3},{"info":"NaN≠≀⊺⇮864=NaN","layer":2},{"info":"⊺⇮160⨔≚≋NaN=NaN","layer":1},{"info":"⊺⇮2382≝⊿⊺⇮4876=⊺⇮-12667","layer":3},{"info":"⊺⇮1500∋⊺⇮1712=⊺⇮3571592","layer":3},{"info":"⊺⇮-12667∋⊺⇮3571592=Inf","layer":2},{"info":"↪⫪⫘Inf=NaN","layer":1},{"info":"NaN↞⋁NaN=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"⊊≼∋((⊁⨺$1637$)⊉↱≁($1877$⪨⊡$1177$)⊱⇼⊻(⫵↿($2724$⫩⊇)))","expression":"⊊≼∋((⊁⨺⊺⇮1637)⊉↱≁(⊺⇮1877⪨⊡⊺⇮1177)⊱⇼⊻(⫵↿(⊺⇮2724⫩⊇)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9106,"operation_count":7,"complexity_ratio":1300.857142857143,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1637,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1877,"base":10},"right_expr":{"type":"numeric_atoms","value":1177,"base":10}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2724,"base":10}}}}},"used_operators":["FWz7pXsQhA","FyVja0WsTP","w2P8NbNXyL","PxiHyQbrIp","kuIXHzHcAH","ivGwdmUAux","BjRHVeLaeN"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-447","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1637","layer":4},{"info":"compute unary expreesion, input=1637, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=1877","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=1177, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=1548","layer":2},{"info":"number node, value=2724","layer":4},{"info":"compute unary expreesion, input=2724, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2682","layer":3},{"info":"compute unary expreesion, input=-2682, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=1548, right_input=137, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=8994","layer":1},{"info":"compute unary expreesion, input=8994, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":0}],"base":10,"result_base":10,"text":"⊊≼∋((⊁⨺⊺⇮1637)⊉↱≁(⊺⇮1877⪨⊡⊺⇮1177)⊱⇼⊻(⫵↿(⊺⇮2724⫩⊇)))=⊺⇮-447","reverse_text":"⊺⇮-447=⊊≼∋((⊁⨺⊺⇮1637)⊉↱≁(⊺⇮1877⪨⊡⊺⇮1177)⊱⇼⊻(⫵↿(⊺⇮2724⫩⊇)))","cot":[{"info":"⊁⨺⊺⇮1637=⊺⇮160","layer":3},{"info":"⊺⇮1877⪨⊡⊺⇮1177=⊺⇮0","layer":3},{"info":"⊺⇮160⊉↱≁⊺⇮0=⊺⇮1548","layer":2},{"info":"⊺⇮2724⫩⊇=⊺⇮-2682","layer":3},{"info":"⫵↿⊺⇮-2682=⊺⇮137","layer":2},{"info":"⊺⇮1548⊱⇼⊻⊺⇮137=⊺⇮8994","layer":1},{"info":"⊊≼∋⊺⇮8994=⊺⇮-447","layer":0}]}
{"id":711,"expression_no_base_symbol":"((⊢≑≆(⊈$3466$))≧⫂∧($5407$⩭)⋕⪉⪜$3180$⪃⊛⇣$2947$)∌↝((⋗⩬⋾$2574$)≭($1448$⫿))⪎↠($6713$⨥⫆$1444$⫁⪎$3250$≎⪠$3932$)","expression":"((⊢≑≆(⊈⊺⇮3466))≧⫂∧(⊺⇮5407⩭)⋕⪉⪜⊺⇮3180⪃⊛⇣⊺⇮2947)∌↝((⋗⩬⋾⊺⇮2574)≭(⊺⇮1448⫿))⪎↠(⊺⇮6713⨥⫆⊺⇮1444⫁⪎⊺⇮3250≎⪠⊺⇮3932)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":37342,"operation_count":14,"complexity_ratio":2667.285714285714,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3466,"base":10}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":5407,"base":10}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3180,"base":10},"right_expr":{"type":"numeric_atoms","value":2947,"base":10}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2574,"base":10}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1448,"base":10}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":6713,"base":10},"right_expr":{"type":"numeric_atoms","value":1444,"base":10}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3250,"base":10},"right_expr":{"type":"numeric_atoms","value":3932,"base":10}}}}},"used_operators":["9Isq31Ruls","Ph9nP6C5qx","27wFxooxGf","RHru8klgy8","z6LnFrNh4i","yIPP7u6H5x","rrgAzCduG9","3tVxb0NHM4","rxpJgHHUmx","DpFCA1CohY","9tKT6PmtkH","xRrnTEsQ6j","yXekIHxTD4","aNhz54LH3e"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","12rbrZMWeM","xUOZtlo3hN","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⊺⇮-538","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3466","layer":4},{"info":"compute unary expreesion, input=3466, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3640","layer":3},{"info":"compute unary expreesion, input=-3640, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=7473","layer":2},{"info":"number node, value=5407","layer":4},{"info":"compute unary expreesion, input=5407, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=3180","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=3180, right_input=2947, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=7473, right_input=204, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-269","layer":1},{"info":"number node, value=2574","layer":4},{"info":"compute unary expreesion, input=2574, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7722","layer":3},{"info":"number node, value=1448","layer":4},{"info":"compute unary expreesion, input=1448, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1448","layer":3},{"info":"compute binary expreesion, left_input=-7722, right_input=1448, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=6713","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=6713, right_input=1444, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2764","layer":3},{"info":"number node, value=3250","layer":4},{"info":"number node, value=3932","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=3932, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=2764, right_input=19558, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-16794","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16794, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-269, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-538","layer":0}],"base":10,"result_base":10,"text":"((⊢≑≆(⊈⊺⇮3466))≧⫂∧(⊺⇮5407⩭)⋕⪉⪜⊺⇮3180⪃⊛⇣⊺⇮2947)∌↝((⋗⩬⋾⊺⇮2574)≭(⊺⇮1448⫿))⪎↠(⊺⇮6713⨥⫆⊺⇮1444⫁⪎⊺⇮3250≎⪠⊺⇮3932)=⊺⇮-538","reverse_text":"⊺⇮-538=((⊢≑≆(⊈⊺⇮3466))≧⫂∧(⊺⇮5407⩭)⋕⪉⪜⊺⇮3180⪃⊛⇣⊺⇮2947)∌↝((⋗⩬⋾⊺⇮2574)≭(⊺⇮1448⫿))⪎↠(⊺⇮6713⨥⫆⊺⇮1444⫁⪎⊺⇮3250≎⪠⊺⇮3932)","cot":[{"info":"⊈⊺⇮3466=⊺⇮-3640","layer":3},{"info":"⊢≑≆⊺⇮-3640=⊺⇮7473","layer":2},{"info":"⊺⇮5407⩭=NaN","layer":3},{"info":"⊺⇮3180⪃⊛⇣⊺⇮2947=⊺⇮1234","layer":3},{"info":"NaN⋕⪉⪜⊺⇮1234=⊺⇮204","layer":2},{"info":"⊺⇮7473≧⫂∧⊺⇮204=⊺⇮-269","layer":1},{"info":"⋗⩬⋾⊺⇮2574=⊺⇮-7722","layer":3},{"info":"⊺⇮1448⫿=⊺⇮1448","layer":3},{"info":"⊺⇮-7722≭⊺⇮1448=NaN","layer":2},{"info":"⊺⇮6713⨥⫆⊺⇮1444=⊺⇮2764","layer":3},{"info":"⊺⇮3250≎⪠⊺⇮3932=⊺⇮19558","layer":3},{"info":"⊺⇮2764⫁⪎⊺⇮19558=⊺⇮-16794","layer":2},{"info":"NaN⪎↠⊺⇮-16794=NaN","layer":1},{"info":"⊺⇮-269∌↝NaN=⊺⇮-538","layer":0}]}
{"id":712,"expression_no_base_symbol":"(⨈⪑(⇋⊎⋝$6447$)↳≱($2962$⩣⫁∢$1056$))⪭((⇋↷$5161$)⊹∫⫚($1119$⇼⇔∾$3575$))⇤($3977$⇌⫙⪟$4645$⪛⫼$1978$⩼⇪↪$6214$)","expression":"(⨈⪑(⇋⊎⋝⊺⇮6447)↳≱(⊺⇮2962⩣⫁∢⊺⇮1056))⪭((⇋↷⊺⇮5161)⊹∫⫚(⊺⇮1119⇼⇔∾⊺⇮3575))⇤(⊺⇮3977⇌⫙⪟⊺⇮4645⪛⫼⊺⇮1978⩼⇪↪⊺⇮6214)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6786,"operation_count":12,"complexity_ratio":565.5,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":6447,"base":10}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2962,"base":10},"right_expr":{"type":"numeric_atoms","value":1056,"base":10}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":5161,"base":10}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1119,"base":10},"right_expr":{"type":"numeric_atoms","value":3575,"base":10}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3977,"base":10},"right_expr":{"type":"numeric_atoms","value":4645,"base":10}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1978,"base":10},"right_expr":{"type":"numeric_atoms","value":6214,"base":10}}}}},"used_operators":["j9kHMeSvPp","mp94q5OcYM","JwTKLfZU96","CzM2PEoXns","JDUIKTTSIa","YSKBFp38Pu","uWAJUKEvyW","SWo3A1KBJH","tifHPKVTfV","hyuBjUqXlG","AFVx7xoS7T","ocnLzx9CaJ"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","dWAJyo7jo9","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⊺⇮5","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6447","layer":4},{"info":"compute unary expreesion, input=6447, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2962","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=1056, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5763","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5763, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=5161","layer":4},{"info":"compute unary expreesion, input=5161, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=41288","layer":3},{"info":"number node, value=1119","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=3575, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2456","layer":3},{"info":"compute binary expreesion, left_input=41288, right_input=2456, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-76","layer":2},{"info":"number node, value=3977","layer":4},{"info":"number node, value=4645","layer":4},{"info":"compute binary expreesion, left_input=3977, right_input=4645, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1978","layer":4},{"info":"number node, value=6214","layer":4},{"info":"compute binary expreesion, left_input=1978, right_input=6214, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-40325","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-40325, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1033","layer":2},{"info":"compute binary expreesion, left_input=-76, right_input=-1033, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=8393","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=8393, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":10,"result_base":10,"text":"(⨈⪑(⇋⊎⋝⊺⇮6447)↳≱(⊺⇮2962⩣⫁∢⊺⇮1056))⪭((⇋↷⊺⇮5161)⊹∫⫚(⊺⇮1119⇼⇔∾⊺⇮3575))⇤(⊺⇮3977⇌⫙⪟⊺⇮4645⪛⫼⊺⇮1978⩼⇪↪⊺⇮6214)=⊺⇮5","reverse_text":"⊺⇮5=(⨈⪑(⇋⊎⋝⊺⇮6447)↳≱(⊺⇮2962⩣⫁∢⊺⇮1056))⪭((⇋↷⊺⇮5161)⊹∫⫚(⊺⇮1119⇼⇔∾⊺⇮3575))⇤(⊺⇮3977⇌⫙⪟⊺⇮4645⪛⫼⊺⇮1978⩼⇪↪⊺⇮6214)","cot":[{"info":"⇋⊎⋝⊺⇮6447=NaN","layer":3},{"info":"⊺⇮2962⩣⫁∢⊺⇮1056=⊺⇮-5763","layer":3},{"info":"NaN↳≱⊺⇮-5763=⊺⇮0","layer":2},{"info":"⨈⪑⊺⇮0=⊺⇮868","layer":1},{"info":"⇋↷⊺⇮5161=⊺⇮41288","layer":3},{"info":"⊺⇮1119⇼⇔∾⊺⇮3575=⊺⇮2456","layer":3},{"info":"⊺⇮41288⊹∫⫚⊺⇮2456=⊺⇮-76","layer":2},{"info":"⊺⇮3977⇌⫙⪟⊺⇮4645=⊺⇮113","layer":3},{"info":"⊺⇮1978⩼⇪↪⊺⇮6214=⊺⇮-40325","layer":3},{"info":"⊺⇮113⪛⫼⊺⇮-40325=⊺⇮-1033","layer":2},{"info":"⊺⇮-76⇤⊺⇮-1033=⊺⇮8393","layer":1},{"info":"⊺⇮868⪭⊺⇮8393=⊺⇮5","layer":0}]}
{"id":713,"expression_no_base_symbol":"($1044$≧⫂∧$2540$⇼⇔∾$2567$≁$1075$)⇡⇂((→⩰$1572$)⩱)⫏⊷","expression":"(⊺⇮1044≧⫂∧⊺⇮2540⇼⇔∾⊺⇮2567≁⊺⇮1075)⇡⇂((→⩰⊺⇮1572)⩱)⫏⊷","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2573,"operation_count":7,"complexity_ratio":367.57142857142856,"tree":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1044,"base":10},"right_expr":{"type":"numeric_atoms","value":2540,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2567,"base":10},"right_expr":{"type":"numeric_atoms","value":1075,"base":10}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1572,"base":10}}}}},"used_operators":["dcShxvzhyw","UMwdvZNt44","tifHPKVTfV","Ph9nP6C5qx","8N2wDY1A35","uyq1hVkAcj","o8Pngz0Tml"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1044","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2540, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2067","layer":3},{"info":"number node, value=2567","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=1075, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=12599","layer":3},{"info":"compute binary expreesion, left_input=2067, right_input=12599, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=10532","layer":2},{"info":"number node, value=1572","layer":4},{"info":"compute unary expreesion, input=1572, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10532, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1044≧⫂∧⊺⇮2540⇼⇔∾⊺⇮2567≁⊺⇮1075)⇡⇂((→⩰⊺⇮1572)⩱)⫏⊷=NaN","reverse_text":"NaN=(⊺⇮1044≧⫂∧⊺⇮2540⇼⇔∾⊺⇮2567≁⊺⇮1075)⇡⇂((→⩰⊺⇮1572)⩱)⫏⊷","cot":[{"info":"⊺⇮1044≧⫂∧⊺⇮2540=⊺⇮2067","layer":3},{"info":"⊺⇮2567≁⊺⇮1075=⊺⇮12599","layer":3},{"info":"⊺⇮2067⇼⇔∾⊺⇮12599=⊺⇮10532","layer":2},{"info":"→⩰⊺⇮1572=NaN","layer":3},{"info":"NaN⩱=NaN","layer":2},{"info":"⊺⇮10532⇡⇂NaN=NaN","layer":1},{"info":"NaN⫏⊷=NaN","layer":0}]}
{"id":714,"expression_no_base_symbol":"(($1152$≭$4265$)⫉⨲⊜$6441$⩖⊿$1508$⪛(⩩$2956$)⨂≜($2425$⩼⇪↪$1102$))∣($1402$⊲⩕⊾$1856$≠≀($4911$∀⊥⇻))⪪((⊿$1120$)∼($2003$⪄$1684$))","expression":"((⊺⇮1152≭⊺⇮4265)⫉⨲⊜⊺⇮6441⩖⊿⊺⇮1508⪛(⩩⊺⇮2956)⨂≜(⊺⇮2425⩼⇪↪⊺⇮1102))∣(⊺⇮1402⊲⩕⊾⊺⇮1856≠≀(⊺⇮4911∀⊥⇻))⪪((⊿⊺⇮1120)∼(⊺⇮2003⪄⊺⇮1684))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":116911,"operation_count":15,"complexity_ratio":7794.066666666667,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1152,"base":10},"right_expr":{"type":"numeric_atoms","value":4265,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":6441,"base":10},"right_expr":{"type":"numeric_atoms","value":1508,"base":10}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2956,"base":10}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2425,"base":10},"right_expr":{"type":"numeric_atoms","value":1102,"base":10}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1402,"base":10},"right_expr":{"type":"numeric_atoms","value":1856,"base":10}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":4911,"base":10}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1120,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2003,"base":10},"right_expr":{"type":"numeric_atoms","value":1684,"base":10}}}}},"used_operators":["PPChnnnBFF","uFcxV4UQCh","WhqkvtTD3t","rxpJgHHUmx","RZ5CV9rWsJ","k1SHOSEABc","kMhfGuqI2H","ocnLzx9CaJ","xD69zh8xqp","IwW236VD4Y","DmTXOeWf9t","k4iM1060OG","DyGG3AbaNP","DO4fhlbJSI","SUmda5xLS4"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eewbuw0ToL","zVYPLywUTj","AHs5Up7iyr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":4},{"info":"number node, value=4265","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4265, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6441","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=6441, right_input=1508, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-13782","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13782, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-13892","layer":2},{"info":"number node, value=2956","layer":4},{"info":"compute unary expreesion, input=2956, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=2425","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=2425, right_input=1102, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-3647","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3647, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13892, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1402","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=1856, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-37622","layer":3},{"info":"number node, value=4911","layer":4},{"info":"compute unary expreesion, input=4911, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-37622, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=37501","layer":2},{"info":"number node, value=1120","layer":4},{"info":"compute unary expreesion, input=1120, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5218","layer":3},{"info":"number node, value=2003","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=1684, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-299269","layer":3},{"info":"compute binary expreesion, left_input=-5218, right_input=-299269, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=37501, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-5658740","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5658740, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1152≭⊺⇮4265)⫉⨲⊜⊺⇮6441⩖⊿⊺⇮1508⪛(⩩⊺⇮2956)⨂≜(⊺⇮2425⩼⇪↪⊺⇮1102))∣(⊺⇮1402⊲⩕⊾⊺⇮1856≠≀(⊺⇮4911∀⊥⇻))⪪((⊿⊺⇮1120)∼(⊺⇮2003⪄⊺⇮1684))=NaN","reverse_text":"NaN=((⊺⇮1152≭⊺⇮4265)⫉⨲⊜⊺⇮6441⩖⊿⊺⇮1508⪛(⩩⊺⇮2956)⨂≜(⊺⇮2425⩼⇪↪⊺⇮1102))∣(⊺⇮1402⊲⩕⊾⊺⇮1856≠≀(⊺⇮4911∀⊥⇻))⪪((⊿⊺⇮1120)∼(⊺⇮2003⪄⊺⇮1684))","cot":[{"info":"⊺⇮1152≭⊺⇮4265=NaN","layer":3},{"info":"⊺⇮6441⩖⊿⊺⇮1508=⊺⇮-13782","layer":3},{"info":"NaN⫉⨲⊜⊺⇮-13782=⊺⇮-13892","layer":2},{"info":"⩩⊺⇮2956=NaN","layer":3},{"info":"⊺⇮2425⩼⇪↪⊺⇮1102=⊺⇮-3647","layer":3},{"info":"NaN⨂≜⊺⇮-3647=NaN","layer":2},{"info":"⊺⇮-13892⪛NaN=NaN","layer":1},{"info":"⊺⇮1402⊲⩕⊾⊺⇮1856=⊺⇮-37622","layer":3},{"info":"⊺⇮4911∀⊥⇻=⊺⇮0","layer":3},{"info":"⊺⇮-37622≠≀⊺⇮0=⊺⇮37501","layer":2},{"info":"⊿⊺⇮1120=⊺⇮-5218","layer":3},{"info":"⊺⇮2003⪄⊺⇮1684=⊺⇮-299269","layer":3},{"info":"⊺⇮-5218∼⊺⇮-299269=NaN","layer":2},{"info":"⊺⇮37501⪪NaN=⊺⇮-5658740","layer":1},{"info":"NaN∣⊺⇮-5658740=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"(((⇵⪽$3038$)⫳≱↱$1652$⪮%⊝$5150$)⨿(($3485$⊿∆)⊉≛↸($1032$⊭↱$1242$)))⪝($1281$≒∊$3333$⋅⇍$1976$⋣⋖$1834$⫳≱↱$3063$⪃⊛⇣$6719$≎⪠($6503$⪢$4439$))","expression":"(((⇵⪽⊺⇮3038)⫳≱↱⊺⇮1652⪮%⊝⊺⇮5150)⨿((⊺⇮3485⊿∆)⊉≛↸(⊺⇮1032⊭↱⊺⇮1242)))⪝(⊺⇮1281≒∊⊺⇮3333⋅⇍⊺⇮1976⋣⋖⊺⇮1834⫳≱↱⊺⇮3063⪃⊛⇣⊺⇮6719≎⪠(⊺⇮6503⪢⊺⇮4439))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26610,"operation_count":15,"complexity_ratio":1774.0,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3038,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1652,"base":10},"right_expr":{"type":"numeric_atoms","value":5150,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":3485,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1032,"base":10},"right_expr":{"type":"numeric_atoms","value":1242,"base":10}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1281,"base":10},"right_expr":{"type":"numeric_atoms","value":3333,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1976,"base":10},"right_expr":{"type":"numeric_atoms","value":1834,"base":10}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3063,"base":10},"right_expr":{"type":"numeric_atoms","value":6719,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6503,"base":10},"right_expr":{"type":"numeric_atoms","value":4439,"base":10}}}}},"used_operators":["wicAB68Tmb","abYXlopdE0","ZvLB05nZmT","ZGCBLdVRRX","IWmyXbctLI","DZ8iAZOCBD","fv3ZujxkQL","COABgblf1C","AdZkA7nFnk","5KTvxBwnZo","J0M6qkBnIM","aNhz54LH3e","rrgAzCduG9","dWAJyo7jo9"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","U7g4x0WXJJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","k8jYdgA6NY"],"result":"⊺⇮-1483","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3038","layer":4},{"info":"compute unary expreesion, input=3038, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1652","layer":4},{"info":"number node, value=5150","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=5150, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3620","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3620, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":2},{"info":"number node, value=3485","layer":4},{"info":"compute unary expreesion, input=3485, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-7091","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1242, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=425","layer":3},{"info":"compute binary expreesion, left_input=-7091, right_input=425, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-425","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-425, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"number node, value=1281","layer":4},{"info":"number node, value=3333","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=3333, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-797","layer":3},{"info":"number node, value=1976","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=1834, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1976","layer":3},{"info":"compute binary expreesion, left_input=-797, right_input=1976, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=3063","layer":4},{"info":"number node, value=6719","layer":4},{"info":"compute binary expreesion, left_input=3063, right_input=6719, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=6503","layer":4},{"info":"number node, value=4439","layer":4},{"info":"compute binary expreesion, left_input=6503, right_input=4439, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=19558, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-204, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1483","layer":0}],"base":10,"result_base":10,"text":"(((⇵⪽⊺⇮3038)⫳≱↱⊺⇮1652⪮%⊝⊺⇮5150)⨿((⊺⇮3485⊿∆)⊉≛↸(⊺⇮1032⊭↱⊺⇮1242)))⪝(⊺⇮1281≒∊⊺⇮3333⋅⇍⊺⇮1976⋣⋖⊺⇮1834⫳≱↱⊺⇮3063⪃⊛⇣⊺⇮6719≎⪠(⊺⇮6503⪢⊺⇮4439))=⊺⇮-1483","reverse_text":"⊺⇮-1483=(((⇵⪽⊺⇮3038)⫳≱↱⊺⇮1652⪮%⊝⊺⇮5150)⨿((⊺⇮3485⊿∆)⊉≛↸(⊺⇮1032⊭↱⊺⇮1242)))⪝(⊺⇮1281≒∊⊺⇮3333⋅⇍⊺⇮1976⋣⋖⊺⇮1834⫳≱↱⊺⇮3063⪃⊛⇣⊺⇮6719≎⪠(⊺⇮6503⪢⊺⇮4439))","cot":[{"info":"⇵⪽⊺⇮3038=NaN","layer":3},{"info":"⊺⇮1652⪮%⊝⊺⇮5150=⊺⇮3620","layer":3},{"info":"NaN⫳≱↱⊺⇮3620=NaN","layer":2},{"info":"⊺⇮3485⊿∆=⊺⇮-7091","layer":3},{"info":"⊺⇮1032⊭↱⊺⇮1242=⊺⇮425","layer":3},{"info":"⊺⇮-7091⊉≛↸⊺⇮425=⊺⇮-425","layer":2},{"info":"NaN⨿⊺⇮-425=⊺⇮67","layer":1},{"info":"⊺⇮1281≒∊⊺⇮3333=⊺⇮-797","layer":3},{"info":"⊺⇮1976⋣⋖⊺⇮1834=⊺⇮1976","layer":3},{"info":"⊺⇮-797⋅⇍⊺⇮1976=⊺⇮-22","layer":2},{"info":"⊺⇮3063⪃⊛⇣⊺⇮6719=⊺⇮1234","layer":3},{"info":"⊺⇮6503⪢⊺⇮4439=NaN","layer":3},{"info":"⊺⇮1234≎⪠NaN=⊺⇮19558","layer":2},{"info":"⊺⇮-22⫳≱↱⊺⇮19558=⊺⇮-204","layer":1},{"info":"⊺⇮67⪝⊺⇮-204=⊺⇮-1483","layer":0}]}
{"id":716,"expression_no_base_symbol":"(($1726$⊮⊟↴$1741$⨝⩣∺)/(↓⇌$7601$)⪕($3575$∪⫐$1132$))⩌⋺((($1022$⩵∡$1261$)≧⫂∧$4101$⫯⪬∳$1092$)∌↝(($4940$⊢$4601$)⪘⨀))","expression":"((⊺⇮1726⊮⊟↴⊺⇮1741⨝⩣∺)/(↓⇌⊺⇮7601)⪕(⊺⇮3575∪⫐⊺⇮1132))⩌⋺(((⊺⇮1022⩵∡⊺⇮1261)≧⫂∧⊺⇮4101⫯⪬∳⊺⇮1092)∌↝((⊺⇮4940⊢⊺⇮4601)⪘⨀))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":153,"operation_count":13,"complexity_ratio":11.76923076923077,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1726,"base":10},"right_expr":{"type":"numeric_atoms","value":1741,"base":10}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":7601,"base":10}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3575,"base":10},"right_expr":{"type":"numeric_atoms","value":1132,"base":10}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1022,"base":10},"right_expr":{"type":"numeric_atoms","value":1261,"base":10}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4101,"base":10},"right_expr":{"type":"numeric_atoms","value":1092,"base":10}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4940,"base":10},"right_expr":{"type":"numeric_atoms","value":4601,"base":10}}}}},"used_operators":["g7Hmc5v1ko","XhwjNDsVaA","ancx8kZcWl","QDVgd2eftb","umQnsF7QlU","PxpmPgHHJV","7YooWSwCyH","9Isq31Ruls","Ph9nP6C5qx","Y7wcNGrDQJ","d7ASUq0ydm","aA7tF3KVD3","5twsqlHp2o"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⊺⇮-121","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1726","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=1741, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=0","layer":2},{"info":"number node, value=7601","layer":4},{"info":"compute unary expreesion, input=7601, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=7601","layer":3},{"info":"number node, value=3575","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=1132, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3575","layer":3},{"info":"compute binary expreesion, left_input=7601, right_input=3575, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=12528","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12528, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1022","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1261, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-904","layer":3},{"info":"number node, value=4101","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=4101, right_input=1092, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=19446","layer":3},{"info":"compute binary expreesion, left_input=-904, right_input=19446, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=18973","layer":2},{"info":"number node, value=4940","layer":4},{"info":"number node, value=4601","layer":4},{"info":"compute binary expreesion, left_input=4940, right_input=4601, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-10124","layer":3},{"info":"compute unary expreesion, input=-10124, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=20448","layer":2},{"info":"compute binary expreesion, left_input=18973, right_input=20448, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-121","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1726⊮⊟↴⊺⇮1741⨝⩣∺)/(↓⇌⊺⇮7601)⪕(⊺⇮3575∪⫐⊺⇮1132))⩌⋺(((⊺⇮1022⩵∡⊺⇮1261)≧⫂∧⊺⇮4101⫯⪬∳⊺⇮1092)∌↝((⊺⇮4940⊢⊺⇮4601)⪘⨀))=⊺⇮-121","reverse_text":"⊺⇮-121=((⊺⇮1726⊮⊟↴⊺⇮1741⨝⩣∺)/(↓⇌⊺⇮7601)⪕(⊺⇮3575∪⫐⊺⇮1132))⩌⋺(((⊺⇮1022⩵∡⊺⇮1261)≧⫂∧⊺⇮4101⫯⪬∳⊺⇮1092)∌↝((⊺⇮4940⊢⊺⇮4601)⪘⨀))","cot":[{"info":"⊺⇮1726⊮⊟↴⊺⇮1741=⊺⇮0","layer":3},{"info":"⊺⇮0⨝⩣∺=⊺⇮0","layer":2},{"info":"↓⇌⊺⇮7601=⊺⇮7601","layer":3},{"info":"⊺⇮3575∪⫐⊺⇮1132=⊺⇮3575","layer":3},{"info":"⊺⇮7601⪕⊺⇮3575=⊺⇮12528","layer":2},{"info":"⊺⇮0/⊺⇮12528=⊺⇮0","layer":1},{"info":"⊺⇮1022⩵∡⊺⇮1261=⊺⇮-904","layer":3},{"info":"⊺⇮4101⫯⪬∳⊺⇮1092=⊺⇮19446","layer":3},{"info":"⊺⇮-904≧⫂∧⊺⇮19446=⊺⇮18973","layer":2},{"info":"⊺⇮4940⊢⊺⇮4601=⊺⇮-10124","layer":3},{"info":"⊺⇮-10124⪘⨀=⊺⇮20448","layer":2},{"info":"⊺⇮18973∌↝⊺⇮20448=⊺⇮0","layer":1},{"info":"⊺⇮0⩌⋺⊺⇮0=⊺⇮-121","layer":0}]}
{"id":717,"expression_no_base_symbol":"(($4604$≃$3264$%$1424$⫘$8263$)≄⊠(⊿$8185$)⋣⋖(⇠$2200$))↑","expression":"((⊺⇮4604≃⊺⇮3264%⊺⇮1424⫘⊺⇮8263)≄⊠(⊿⊺⇮8185)⋣⋖(⇠⊺⇮2200))↑","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5195,"operation_count":8,"complexity_ratio":649.375,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4604,"base":10},"right_expr":{"type":"numeric_atoms","value":3264,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1424,"base":10},"right_expr":{"type":"numeric_atoms","value":8263,"base":10}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":8185,"base":10}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2200,"base":10}}}}},"used_operators":["BThhyOhh10","vXNesLlMH1","k8jYdgA6NY","YbVcJGFEVW","48vC8HMD2b","J0M6qkBnIM","DO4fhlbJSI","18saOjeKKm"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"⊺⇮222","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4604","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=4604, right_input=3264, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-18456","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=8263","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=8263, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1679029","layer":3},{"info":"compute binary expreesion, left_input=-18456, right_input=1679029, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1660573","layer":2},{"info":"number node, value=8185","layer":4},{"info":"compute unary expreesion, input=8185, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-33478","layer":3},{"info":"number node, value=2200","layer":4},{"info":"compute unary expreesion, input=2200, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1958","layer":3},{"info":"compute binary expreesion, left_input=-33478, right_input=-1958, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=1660573, right_input=-527, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute unary expreesion, input=1500, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4604≃⊺⇮3264%⊺⇮1424⫘⊺⇮8263)≄⊠(⊿⊺⇮8185)⋣⋖(⇠⊺⇮2200))↑=⊺⇮222","reverse_text":"⊺⇮222=((⊺⇮4604≃⊺⇮3264%⊺⇮1424⫘⊺⇮8263)≄⊠(⊿⊺⇮8185)⋣⋖(⇠⊺⇮2200))↑","cot":[{"info":"⊺⇮4604≃⊺⇮3264=⊺⇮-18456","layer":3},{"info":"⊺⇮1424⫘⊺⇮8263=⊺⇮1679029","layer":3},{"info":"⊺⇮-18456%⊺⇮1679029=⊺⇮1660573","layer":2},{"info":"⊿⊺⇮8185=⊺⇮-33478","layer":3},{"info":"⇠⊺⇮2200=⊺⇮-1958","layer":3},{"info":"⊺⇮-33478⋣⋖⊺⇮-1958=⊺⇮-527","layer":2},{"info":"⊺⇮1660573≄⊠⊺⇮-527=⊺⇮1500","layer":1},{"info":"⊺⇮1500↑=⊺⇮222","layer":0}]}
{"id":718,"expression_no_base_symbol":"(($1155$⨒$2850$)⩁⩘($3950$≬⇓$3565$))⪬($5702$⩖⊿$1112$⋳⪒($1173$*$1372$))⇂≾⫗(((↘$1184$)⩵∡$4107$⊹∫⫚$2227$)⪔⊥($5821$⩵∡$1616$⊓⋫))","expression":"((⊺⇮1155⨒⊺⇮2850)⩁⩘(⊺⇮3950≬⇓⊺⇮3565))⪬(⊺⇮5702⩖⊿⊺⇮1112⋳⪒(⊺⇮1173*⊺⇮1372))⇂≾⫗(((↘⊺⇮1184)⩵∡⊺⇮4107⊹∫⫚⊺⇮2227)⪔⊥(⊺⇮5821⩵∡⊺⇮1616⊓⋫))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1989,"operation_count":14,"complexity_ratio":142.07142857142858,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1155,"base":10},"right_expr":{"type":"numeric_atoms","value":2850,"base":10}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3950,"base":10},"right_expr":{"type":"numeric_atoms","value":3565,"base":10}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5702,"base":10},"right_expr":{"type":"numeric_atoms","value":1112,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1173,"base":10},"right_expr":{"type":"numeric_atoms","value":1372,"base":10}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1184,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4107,"base":10},"right_expr":{"type":"numeric_atoms","value":2227,"base":10}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":5821,"base":10},"right_expr":{"type":"numeric_atoms","value":1616,"base":10}}}}},"used_operators":["aBQ6xLxuTc","Ez1Nq5fNfI","gub5Cegaqo","y75s1iXyHd","jWTQ2TZYIH","12rbrZMWeM","RZ5CV9rWsJ","9HNa5Wba9A","HJ9erzHUuu","Y7wcNGrDQJ","LdNpr8hQHL","uWAJUKEvyW","IqGBaFP0uj"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DpFCA1CohY","IWmyXbctLI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","uFcxV4UQCh","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q"],"result":"⊺⇮-670","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1155","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=2850, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6558","layer":3},{"info":"number node, value=3950","layer":4},{"info":"number node, value=3565","layer":4},{"info":"compute binary expreesion, left_input=3950, right_input=3565, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-6558, right_input=-22, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=860","layer":2},{"info":"number node, value=5702","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=5702, right_input=1112, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-13994","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=1372, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1609356","layer":3},{"info":"compute binary expreesion, left_input=-13994, right_input=1609356, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1637631","layer":2},{"info":"compute binary expreesion, left_input=860, right_input=-1637631, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1184","layer":4},{"info":"compute unary expreesion, input=1184, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=8","layer":3},{"info":"number node, value=4107","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=4107, right_input=2227, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-200","layer":3},{"info":"compute binary expreesion, left_input=8, right_input=-200, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-345","layer":2},{"info":"number node, value=5821","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=5821, right_input=1616, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-10147","layer":3},{"info":"compute unary expreesion, input=-10147, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=10019","layer":2},{"info":"compute binary expreesion, left_input=-345, right_input=10019, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-21617","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-21617, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1155⨒⊺⇮2850)⩁⩘(⊺⇮3950≬⇓⊺⇮3565))⪬(⊺⇮5702⩖⊿⊺⇮1112⋳⪒(⊺⇮1173*⊺⇮1372))⇂≾⫗(((↘⊺⇮1184)⩵∡⊺⇮4107⊹∫⫚⊺⇮2227)⪔⊥(⊺⇮5821⩵∡⊺⇮1616⊓⋫))=⊺⇮-670","reverse_text":"⊺⇮-670=((⊺⇮1155⨒⊺⇮2850)⩁⩘(⊺⇮3950≬⇓⊺⇮3565))⪬(⊺⇮5702⩖⊿⊺⇮1112⋳⪒(⊺⇮1173*⊺⇮1372))⇂≾⫗(((↘⊺⇮1184)⩵∡⊺⇮4107⊹∫⫚⊺⇮2227)⪔⊥(⊺⇮5821⩵∡⊺⇮1616⊓⋫))","cot":[{"info":"⊺⇮1155⨒⊺⇮2850=⊺⇮-6558","layer":3},{"info":"⊺⇮3950≬⇓⊺⇮3565=⊺⇮-22","layer":3},{"info":"⊺⇮-6558⩁⩘⊺⇮-22=⊺⇮860","layer":2},{"info":"⊺⇮5702⩖⊿⊺⇮1112=⊺⇮-13994","layer":3},{"info":"⊺⇮1173*⊺⇮1372=⊺⇮1609356","layer":3},{"info":"⊺⇮-13994⋳⪒⊺⇮1609356=⊺⇮-1637631","layer":2},{"info":"⊺⇮860⪬⊺⇮-1637631=⊺⇮1234","layer":1},{"info":"↘⊺⇮1184=⊺⇮8","layer":3},{"info":"⊺⇮4107⊹∫⫚⊺⇮2227=⊺⇮-200","layer":3},{"info":"⊺⇮8⩵∡⊺⇮-200=⊺⇮-345","layer":2},{"info":"⊺⇮5821⩵∡⊺⇮1616=⊺⇮-10147","layer":3},{"info":"⊺⇮-10147⊓⋫=⊺⇮10019","layer":2},{"info":"⊺⇮-345⪔⊥⊺⇮10019=⊺⇮-21617","layer":1},{"info":"⊺⇮1234⇂≾⫗⊺⇮-21617=⊺⇮-670","layer":0}]}
{"id":719,"expression_no_base_symbol":"⋗⩴⪓(($1380$⋹⋡⊁$1860$)⇂≾⫗$1346$≎⪠$5671$≧⫂∧(⋣$3699$)⪟⇏$1002$↤⩊$5689$)","expression":"⋗⩴⪓((⊺⇮1380⋹⋡⊁⊺⇮1860)⇂≾⫗⊺⇮1346≎⪠⊺⇮5671≧⫂∧(⋣⊺⇮3699)⪟⇏⊺⇮1002↤⩊⊺⇮5689)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":82102,"operation_count":8,"complexity_ratio":10262.75,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1380,"base":10},"right_expr":{"type":"numeric_atoms","value":1860,"base":10}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1346,"base":10},"right_expr":{"type":"numeric_atoms","value":5671,"base":10}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":3699,"base":10}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1002,"base":10},"right_expr":{"type":"numeric_atoms","value":5689,"base":10}}}}},"used_operators":["nOKPl9n5zu","Ph9nP6C5qx","aBQ6xLxuTc","As8RqfVLgs","aNhz54LH3e","GODebY97qR","zQWRhDnn8F","13rbtpv6ld"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"⊺⇮4512","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1380","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=1860, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2610","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=5671","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=5671, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=2610, right_input=19558, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"number node, value=3699","layer":4},{"info":"compute unary expreesion, input=3699, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1087411","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=5689","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=5689, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1087411, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=4512","layer":0}],"base":10,"result_base":10,"text":"⋗⩴⪓((⊺⇮1380⋹⋡⊁⊺⇮1860)⇂≾⫗⊺⇮1346≎⪠⊺⇮5671≧⫂∧(⋣⊺⇮3699)⪟⇏⊺⇮1002↤⩊⊺⇮5689)=⊺⇮4512","reverse_text":"⊺⇮4512=⋗⩴⪓((⊺⇮1380⋹⋡⊁⊺⇮1860)⇂≾⫗⊺⇮1346≎⪠⊺⇮5671≧⫂∧(⋣⊺⇮3699)⪟⇏⊺⇮1002↤⩊⊺⇮5689)","cot":[{"info":"⊺⇮1380⋹⋡⊁⊺⇮1860=⊺⇮2610","layer":3},{"info":"⊺⇮1346≎⪠⊺⇮5671=⊺⇮19558","layer":3},{"info":"⊺⇮2610⇂≾⫗⊺⇮19558=⊺⇮-676","layer":2},{"info":"⋣⊺⇮3699=⊺⇮-1087411","layer":3},{"info":"⊺⇮1002↤⩊⊺⇮5689=NaN","layer":3},{"info":"⊺⇮-1087411⪟⇏NaN=⊺⇮0","layer":2},{"info":"⊺⇮-676≧⫂∧⊺⇮0=⊺⇮-473","layer":1},{"info":"⋗⩴⪓⊺⇮-473=⊺⇮4512","layer":0}]}
{"id":720,"expression_no_base_symbol":"($3958$∙⊟$4846$⫡⨏$2427$∠↢$6038$)∺≝⩲(($1252$∛$2356$)⩍⋽⫝̸($1085$⫒⫫$1492$))∑⇟⊟((∐⩳⋚$3432$)⊲⩕⊾(⨰⫟⨤$1470$))⩼⇪↪(⇠$4916$⫘$1455$)","expression":"(⊺⇮3958∙⊟⊺⇮4846⫡⨏⊺⇮2427∠↢⊺⇮6038)∺≝⩲((⊺⇮1252∛⊺⇮2356)⩍⋽⫝̸(⊺⇮1085⫒⫫⊺⇮1492))∑⇟⊟((∐⩳⋚⊺⇮3432)⊲⩕⊾(⨰⫟⨤⊺⇮1470))⩼⇪↪(⇠⊺⇮4916⫘⊺⇮1455)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":14556,"operation_count":14,"complexity_ratio":1039.7142857142858,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3958,"base":10},"right_expr":{"type":"numeric_atoms","value":4846,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2427,"base":10},"right_expr":{"type":"numeric_atoms","value":6038,"base":10}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1252,"base":10},"right_expr":{"type":"numeric_atoms","value":2356,"base":10}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1085,"base":10},"right_expr":{"type":"numeric_atoms","value":1492,"base":10}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":3432,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1470,"base":10}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4916,"base":10},"right_expr":{"type":"numeric_atoms","value":1455,"base":10}}}}},"used_operators":["U7g4x0WXJJ","KPf6cnQVty","QMFrweE19q","SxTAKzQCrw","KbjG8mgYpV","BiWNJpBvwn","w2537kitQq","6Ko8hGgeMq","ocnLzx9CaJ","DmTXOeWf9t","SL6IHkK8vl","Tw270M8GLb","18saOjeKKm","48vC8HMD2b"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3958","layer":4},{"info":"number node, value=4846","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=4846, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=61300","layer":3},{"info":"number node, value=2427","layer":4},{"info":"number node, value=6038","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=6038, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-93158","layer":3},{"info":"compute binary expreesion, left_input=61300, right_input=-93158, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=120967","layer":2},{"info":"number node, value=1252","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=2356, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1492, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=120967, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=3432","layer":4},{"info":"compute unary expreesion, input=3432, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=499849","layer":3},{"info":"number node, value=1470","layer":4},{"info":"compute unary expreesion, input=1470, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=499849, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"number node, value=4916","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=4916, right_input=1455, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5785621","layer":3},{"info":"compute unary expreesion, input=5785621, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-5785379","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5785379, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3958∙⊟⊺⇮4846⫡⨏⊺⇮2427∠↢⊺⇮6038)∺≝⩲((⊺⇮1252∛⊺⇮2356)⩍⋽⫝̸(⊺⇮1085⫒⫫⊺⇮1492))∑⇟⊟((∐⩳⋚⊺⇮3432)⊲⩕⊾(⨰⫟⨤⊺⇮1470))⩼⇪↪(⇠⊺⇮4916⫘⊺⇮1455)=NaN","reverse_text":"NaN=(⊺⇮3958∙⊟⊺⇮4846⫡⨏⊺⇮2427∠↢⊺⇮6038)∺≝⩲((⊺⇮1252∛⊺⇮2356)⩍⋽⫝̸(⊺⇮1085⫒⫫⊺⇮1492))∑⇟⊟((∐⩳⋚⊺⇮3432)⊲⩕⊾(⨰⫟⨤⊺⇮1470))⩼⇪↪(⇠⊺⇮4916⫘⊺⇮1455)","cot":[{"info":"⊺⇮3958∙⊟⊺⇮4846=⊺⇮61300","layer":3},{"info":"⊺⇮2427∠↢⊺⇮6038=⊺⇮-93158","layer":3},{"info":"⊺⇮61300⫡⨏⊺⇮-93158=⊺⇮120967","layer":2},{"info":"⊺⇮1252∛⊺⇮2356=⊺⇮-670","layer":3},{"info":"⊺⇮1085⫒⫫⊺⇮1492=NaN","layer":3},{"info":"⊺⇮-670⩍⋽⫝̸NaN=NaN","layer":2},{"info":"⊺⇮120967∺≝⩲NaN=⊺⇮160","layer":1},{"info":"∐⩳⋚⊺⇮3432=⊺⇮499849","layer":3},{"info":"⨰⫟⨤⊺⇮1470=NaN","layer":3},{"info":"⊺⇮499849⊲⩕⊾NaN=NaN","layer":2},{"info":"⊺⇮4916⫘⊺⇮1455=⊺⇮5785621","layer":3},{"info":"⇠⊺⇮5785621=⊺⇮-5785379","layer":2},{"info":"NaN⩼⇪↪⊺⇮-5785379=NaN","layer":1},{"info":"⊺⇮160∑⇟⊟NaN=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"(⫵↿(↨($3361$⋭≵$1011$)))⨸((($5430$⇡)⨌↪)⊴((⩩$7665$)⨑≵⋬$3124$⩘$3684$))","expression":"(⫵↿(↨(⊺⇮3361⋭≵⊺⇮1011)))⨸(((⊺⇮5430⇡)⨌↪)⊴((⩩⊺⇮7665)⨑≵⋬⊺⇮3124⩘⊺⇮3684))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10063,"operation_count":10,"complexity_ratio":1006.3,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3361,"base":10},"right_expr":{"type":"numeric_atoms","value":1011,"base":10}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":5430,"base":10}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":7665,"base":10}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3124,"base":10},"right_expr":{"type":"numeric_atoms","value":3684,"base":10}}}}},"used_operators":["KmoU8R5UQR","ivGwdmUAux","jiX4gk2v2Q","jBncVCNhdl","Nsiff2A1zJ","cWQsF5MvuD","UqFzSgLMvQ","XnXgA4xnOs","kMhfGuqI2H","cHh1gJQ2o6"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rGHVDoGpnC","oZj3VtZNQx","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⊺⇮274","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3361","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=3361, right_input=1011, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"number node, value=5430","layer":4},{"info":"compute unary expreesion, input=5430, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute unary expreesion, input=-2917, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"number node, value=7665","layer":4},{"info":"compute unary expreesion, input=7665, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=3124","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=3684, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=274","layer":0}],"base":10,"result_base":10,"text":"(⫵↿(↨(⊺⇮3361⋭≵⊺⇮1011)))⨸(((⊺⇮5430⇡)⨌↪)⊴((⩩⊺⇮7665)⨑≵⋬⊺⇮3124⩘⊺⇮3684))=⊺⇮274","reverse_text":"⊺⇮274=(⫵↿(↨(⊺⇮3361⋭≵⊺⇮1011)))⨸(((⊺⇮5430⇡)⨌↪)⊴((⩩⊺⇮7665)⨑≵⋬⊺⇮3124⩘⊺⇮3684))","cot":[{"info":"⊺⇮3361⋭≵⊺⇮1011=⊺⇮67","layer":3},{"info":"↨⊺⇮67=⊺⇮0","layer":2},{"info":"⫵↿⊺⇮0=⊺⇮137","layer":1},{"info":"⊺⇮5430⇡=⊺⇮-2917","layer":3},{"info":"⊺⇮-2917⨌↪=⊺⇮-480","layer":2},{"info":"⩩⊺⇮7665=NaN","layer":3},{"info":"⊺⇮3124⩘⊺⇮3684=⊺⇮160","layer":3},{"info":"NaN⨑≵⋬⊺⇮160=NaN","layer":2},{"info":"⊺⇮-480⊴NaN=NaN","layer":1},{"info":"⊺⇮137⨸NaN=⊺⇮274","layer":0}]}
{"id":722,"expression_no_base_symbol":"($1936$↞⋁$1212$⪘⫢($1424$⋳⪒$1111$)-((⋃$2889$)⊍))∝(⪡⇡≛($1086$⫁$2060$))⊱⇼⊻((⨛$1972$)⋭≵$2599$⩘$1958$)","expression":"(⊺⇮1936↞⋁⊺⇮1212⪘⫢(⊺⇮1424⋳⪒⊺⇮1111)-((⋃⊺⇮2889)⊍))∝(⪡⇡≛(⊺⇮1086⫁⊺⇮2060))⊱⇼⊻((⨛⊺⇮1972)⋭≵⊺⇮2599⩘⊺⇮1958)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":531,"operation_count":13,"complexity_ratio":40.84615384615385,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1936,"base":10},"right_expr":{"type":"numeric_atoms","value":1212,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1424,"base":10},"right_expr":{"type":"numeric_atoms","value":1111,"base":10}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2889,"base":10}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1086,"base":10},"right_expr":{"type":"numeric_atoms","value":2060,"base":10}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1972,"base":10}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2599,"base":10},"right_expr":{"type":"numeric_atoms","value":1958,"base":10}}}}},"used_operators":["cTDWOvIxvz","rysDP5nf3Z","oacrs7FA3X","RqrPlJkxDo","12rbrZMWeM","3nqY3DE9mg","3mBM5G4a3l","FyVja0WsTP","qL4PrbW1Dq","0ajvFaJAv0","jBncVCNhdl","CoMdbyAt7R","cHh1gJQ2o6"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","cHh1gJQ2o6","AHs5Up7iyr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1936","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=1212, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=1111, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1450, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=2889","layer":4},{"info":"compute unary expreesion, input=2889, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=5880","layer":3},{"info":"compute unary expreesion, input=5880, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=15960","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15960, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2060, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-160","layer":2},{"info":"number node, value=1972","layer":4},{"info":"compute unary expreesion, input=1972, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=2599","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=1958, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-160, right_input=67, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=2162","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2162, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1936↞⋁⊺⇮1212⪘⫢(⊺⇮1424⋳⪒⊺⇮1111)-((⋃⊺⇮2889)⊍))∝(⪡⇡≛(⊺⇮1086⫁⊺⇮2060))⊱⇼⊻((⨛⊺⇮1972)⋭≵⊺⇮2599⩘⊺⇮1958)=NaN","reverse_text":"NaN=(⊺⇮1936↞⋁⊺⇮1212⪘⫢(⊺⇮1424⋳⪒⊺⇮1111)-((⋃⊺⇮2889)⊍))∝(⪡⇡≛(⊺⇮1086⫁⊺⇮2060))⊱⇼⊻((⨛⊺⇮1972)⋭≵⊺⇮2599⩘⊺⇮1958)","cot":[{"info":"⊺⇮1936↞⋁⊺⇮1212=NaN","layer":3},{"info":"⊺⇮1424⋳⪒⊺⇮1111=⊺⇮1450","layer":3},{"info":"NaN⪘⫢⊺⇮1450=NaN","layer":2},{"info":"⋃⊺⇮2889=⊺⇮5880","layer":3},{"info":"⊺⇮5880⊍=⊺⇮15960","layer":2},{"info":"NaN-⊺⇮15960=NaN","layer":1},{"info":"⊺⇮1086⫁⊺⇮2060=⊺⇮160","layer":3},{"info":"⪡⇡≛⊺⇮160=⊺⇮-160","layer":2},{"info":"⨛⊺⇮1972=NaN","layer":3},{"info":"⊺⇮2599⩘⊺⇮1958=⊺⇮160","layer":3},{"info":"NaN⋭≵⊺⇮160=⊺⇮67","layer":2},{"info":"⊺⇮-160⊱⇼⊻⊺⇮67=⊺⇮2162","layer":1},{"info":"NaN∝⊺⇮2162=NaN","layer":0}]}
{"id":723,"expression_no_base_symbol":"⩒∊(($5544$⫯⪬∳$4670$⩺⋐⫨)⊲⩕⊾($2533$⪪$4448$≀⩗∶$6154$↢$4427$))","expression":"⩒∊((⊺⇮5544⫯⪬∳⊺⇮4670⩺⋐⫨)⊲⩕⊾(⊺⇮2533⪪⊺⇮4448≀⩗∶⊺⇮6154↢⊺⇮4427))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8372,"operation_count":7,"complexity_ratio":1196.0,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":5544,"base":10},"right_expr":{"type":"numeric_atoms","value":4670,"base":10}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2533,"base":10},"right_expr":{"type":"numeric_atoms","value":4448,"base":10}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":6154,"base":10},"right_expr":{"type":"numeric_atoms","value":4427,"base":10}}}}},"used_operators":["qazvmhNBbN","DmTXOeWf9t","yS9ePUuUdn","d7ASUq0ydm","8INZBEW696","xD69zh8xqp","WR6HLWljOP"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⊺⇮16183","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5544","layer":4},{"info":"number node, value=4670","layer":4},{"info":"compute binary expreesion, left_input=5544, right_input=4670, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=23083","layer":3},{"info":"compute unary expreesion, input=23083, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"number node, value=2533","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=4448, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-378572","layer":3},{"info":"number node, value=6154","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=6154, right_input=4427, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5670","layer":3},{"info":"compute binary expreesion, left_input=-378572, right_input=5670, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=8470","layer":1},{"info":"compute unary expreesion, input=8470, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=16183","layer":0}],"base":10,"result_base":10,"text":"⩒∊((⊺⇮5544⫯⪬∳⊺⇮4670⩺⋐⫨)⊲⩕⊾(⊺⇮2533⪪⊺⇮4448≀⩗∶⊺⇮6154↢⊺⇮4427))=⊺⇮16183","reverse_text":"⊺⇮16183=⩒∊((⊺⇮5544⫯⪬∳⊺⇮4670⩺⋐⫨)⊲⩕⊾(⊺⇮2533⪪⊺⇮4448≀⩗∶⊺⇮6154↢⊺⇮4427))","cot":[{"info":"⊺⇮5544⫯⪬∳⊺⇮4670=⊺⇮23083","layer":3},{"info":"⊺⇮23083⩺⋐⫨=⊺⇮0","layer":2},{"info":"⊺⇮2533⪪⊺⇮4448=⊺⇮-378572","layer":3},{"info":"⊺⇮6154↢⊺⇮4427=⊺⇮5670","layer":3},{"info":"⊺⇮-378572≀⩗∶⊺⇮5670=⊺⇮3","layer":2},{"info":"⊺⇮0⊲⩕⊾⊺⇮3=⊺⇮8470","layer":1},{"info":"⩒∊⊺⇮8470=⊺⇮16183","layer":0}]}
{"id":724,"expression_no_base_symbol":"(⊬↢(($1804$⪁$3558$)⩨$1417$⪡$5560$))⊍⩺⋍(⨙⪌(⊖$3698$⪍↜⋙$5283$))","expression":"(⊬↢((⊺⇮1804⪁⊺⇮3558)⩨⊺⇮1417⪡⊺⇮5560))⊍⩺⋍(⨙⪌(⊖⊺⇮3698⪍↜⋙⊺⇮5283))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":153744982,"operation_count":8,"complexity_ratio":19218122.75,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1804,"base":10},"right_expr":{"type":"numeric_atoms","value":3558,"base":10}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1417,"base":10},"right_expr":{"type":"numeric_atoms","value":5560,"base":10}}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3698,"base":10},"right_expr":{"type":"numeric_atoms","value":5283,"base":10}}}}},"used_operators":["OXDGMFPWZM","WPoGxAaPR1","2DlMacCsIx","I7sXao9hZE","oraRL2iQuh","vEGLkm4Z2k","U6pG0PXrV3","L05ObWFQCd"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1804","layer":4},{"info":"number node, value=3558","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=3558, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1417","layer":4},{"info":"number node, value=5560","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=5560, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=107, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":1},{"info":"number node, value=3698","layer":4},{"info":"number node, value=5283","layer":4},{"info":"compute binary expreesion, left_input=3698, right_input=5283, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-29839","layer":3},{"info":"compute unary expreesion, input=-29839, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=89517","layer":2},{"info":"compute unary expreesion, input=89517, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊬↢((⊺⇮1804⪁⊺⇮3558)⩨⊺⇮1417⪡⊺⇮5560))⊍⩺⋍(⨙⪌(⊖⊺⇮3698⪍↜⋙⊺⇮5283))=NaN","reverse_text":"NaN=(⊬↢((⊺⇮1804⪁⊺⇮3558)⩨⊺⇮1417⪡⊺⇮5560))⊍⩺⋍(⨙⪌(⊖⊺⇮3698⪍↜⋙⊺⇮5283))","cot":[{"info":"⊺⇮1804⪁⊺⇮3558=NaN","layer":3},{"info":"⊺⇮1417⪡⊺⇮5560=⊺⇮107","layer":3},{"info":"NaN⩨⊺⇮107=NaN","layer":2},{"info":"⊬↢NaN=NaN","layer":1},{"info":"⊺⇮3698⪍↜⋙⊺⇮5283=⊺⇮-29839","layer":3},{"info":"⊖⊺⇮-29839=⊺⇮89517","layer":2},{"info":"⨙⪌⊺⇮89517=⊺⇮868","layer":1},{"info":"NaN⊍⩺⋍⊺⇮868=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"($2326$↹⊜$5198$⇮⋭$1613$⩚⊴⇥$1423$⋖∅⋲)≥⨤⩑(⨦⪝($1182$∷))⊲⩕⊾($2575$∌↝$3336$)↢($1211$⫡⨏$1641$)","expression":"(⊺⇮2326↹⊜⊺⇮5198⇮⋭⊺⇮1613⩚⊴⇥⊺⇮1423⋖∅⋲)≥⨤⩑(⨦⪝(⊺⇮1182∷))⊲⩕⊾(⊺⇮2575∌↝⊺⇮3336)↢(⊺⇮1211⫡⨏⊺⇮1641)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":355,"operation_count":11,"complexity_ratio":32.27272727272727,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2326,"base":10},"right_expr":{"type":"numeric_atoms","value":5198,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1613,"base":10},"right_expr":{"type":"numeric_atoms","value":1423,"base":10}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1182,"base":10}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2575,"base":10},"right_expr":{"type":"numeric_atoms","value":3336,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1211,"base":10},"right_expr":{"type":"numeric_atoms","value":1641,"base":10}}}}},"used_operators":["gJLn6v0xnP","L95AwlJzhO","vkpjKywKVM","9bazX3JMtO","NTOWxs364D","DmTXOeWf9t","SUjycxNXIR","nFAOW8KTqp","WR6HLWljOP","9Isq31Ruls","QMFrweE19q"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2326","layer":4},{"info":"number node, value=5198","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=5198, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-16236","layer":3},{"info":"number node, value=1613","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=1423, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3157","layer":3},{"info":"compute binary expreesion, left_input=-16236, right_input=-3157, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"number node, value=1182","layer":4},{"info":"compute unary expreesion, input=1182, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=3546","layer":3},{"info":"compute unary expreesion, input=3546, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=2575","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=3336, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1211","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=1641, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10120","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10120, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=-484, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=11622","layer":1},{"info":"compute binary expreesion, left_input=-384231, right_input=11622, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2326↹⊜⊺⇮5198⇮⋭⊺⇮1613⩚⊴⇥⊺⇮1423⋖∅⋲)≥⨤⩑(⨦⪝(⊺⇮1182∷))⊲⩕⊾(⊺⇮2575∌↝⊺⇮3336)↢(⊺⇮1211⫡⨏⊺⇮1641)=⊺⇮1234","reverse_text":"⊺⇮1234=(⊺⇮2326↹⊜⊺⇮5198⇮⋭⊺⇮1613⩚⊴⇥⊺⇮1423⋖∅⋲)≥⨤⩑(⨦⪝(⊺⇮1182∷))⊲⩕⊾(⊺⇮2575∌↝⊺⇮3336)↢(⊺⇮1211⫡⨏⊺⇮1641)","cot":[{"info":"⊺⇮2326↹⊜⊺⇮5198=⊺⇮-16236","layer":3},{"info":"⊺⇮1613⩚⊴⇥⊺⇮1423=⊺⇮-3157","layer":3},{"info":"⊺⇮-16236⇮⋭⊺⇮-3157=⊺⇮67","layer":2},{"info":"⊺⇮67⋖∅⋲=⊺⇮-384231","layer":1},{"info":"⊺⇮1182∷=⊺⇮3546","layer":3},{"info":"⨦⪝⊺⇮3546=⊺⇮-1884","layer":2},{"info":"⊺⇮2575∌↝⊺⇮3336=⊺⇮0","layer":3},{"info":"⊺⇮1211⫡⨏⊺⇮1641=⊺⇮10120","layer":3},{"info":"⊺⇮0↢⊺⇮10120=⊺⇮-484","layer":2},{"info":"⊺⇮-1884⊲⩕⊾⊺⇮-484=⊺⇮11622","layer":1},{"info":"⊺⇮-384231≥⨤⩑⊺⇮11622=⊺⇮1234","layer":0}]}
{"id":726,"expression_no_base_symbol":"⫇(⇠((⨑⩽⪐$2472$)⨚⇆$1044$+⪬∐$1810$))","expression":"⫇(⇠((⨑⩽⪐⊺⇮2472)⨚⇆⊺⇮1044+⪬∐⊺⇮1810))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15451,"operation_count":5,"complexity_ratio":3090.2,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2472,"base":10}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1044,"base":10},"right_expr":{"type":"numeric_atoms","value":1810,"base":10}}}}},"used_operators":["YjI8oCXuph","18saOjeKKm","lwHaAYXP2r","AF7qkfDlqP","2GS7woTJqF"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","g55IO6H4Gj","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2472","layer":4},{"info":"compute unary expreesion, input=2472, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2199","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1810, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3132","layer":3},{"info":"compute binary expreesion, left_input=-2199, right_input=-3132, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⫇(⇠((⨑⩽⪐⊺⇮2472)⨚⇆⊺⇮1044+⪬∐⊺⇮1810))=NaN","reverse_text":"NaN=⫇(⇠((⨑⩽⪐⊺⇮2472)⨚⇆⊺⇮1044+⪬∐⊺⇮1810))","cot":[{"info":"⨑⩽⪐⊺⇮2472=⊺⇮-2199","layer":3},{"info":"⊺⇮1044+⪬∐⊺⇮1810=⊺⇮-3132","layer":3},{"info":"⊺⇮-2199⨚⇆⊺⇮-3132=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"⫇NaN=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"((⋠∜$3130$)∋(⩷$2072$)⪥⨬⪅)↤⩊((↸⊣($4082$⊋$2629$))⨳⩥⨓$4932$⊋$2763$≭$3212$⩖⊿$2647$)","expression":"((⋠∜⊺⇮3130)∋(⩷⊺⇮2072)⪥⨬⪅)↤⩊((↸⊣(⊺⇮4082⊋⊺⇮2629))⨳⩥⨓⊺⇮4932⊋⊺⇮2763≭⊺⇮3212⩖⊿⊺⇮2647)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8364,"operation_count":11,"complexity_ratio":760.3636363636364,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":3130,"base":10}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2072,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4082,"base":10},"right_expr":{"type":"numeric_atoms","value":2629,"base":10}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4932,"base":10},"right_expr":{"type":"numeric_atoms","value":2763,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3212,"base":10},"right_expr":{"type":"numeric_atoms","value":2647,"base":10}}}}},"used_operators":["13rbtpv6ld","zNRQejTB5A","ukq6epAj5P","ZJpFhNJr3x","1h0rLqGiFr","nCS4ZIUYfx","wztAlM01eG","W4tP9CfskL","rxpJgHHUmx","RZ5CV9rWsJ"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","AHs5Up7iyr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3130","layer":4},{"info":"compute unary expreesion, input=3130, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=14804","layer":3},{"info":"number node, value=2072","layer":4},{"info":"compute unary expreesion, input=2072, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-24943","layer":3},{"info":"compute binary expreesion, left_input=14804, right_input=-24943, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-113840","layer":2},{"info":"compute unary expreesion, input=-113840, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":1},{"info":"number node, value=4082","layer":4},{"info":"number node, value=2629","layer":4},{"info":"compute binary expreesion, left_input=4082, right_input=2629, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=30418896","layer":3},{"info":"compute unary expreesion, input=30418896, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-30418609","layer":2},{"info":"number node, value=4932","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=4932, right_input=2763, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=47383680","layer":3},{"info":"number node, value=3212","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=3212, right_input=2647, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=8246","layer":3},{"info":"compute binary expreesion, left_input=47383680, right_input=8246, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-30418609, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⋠∜⊺⇮3130)∋(⩷⊺⇮2072)⪥⨬⪅)↤⩊((↸⊣(⊺⇮4082⊋⊺⇮2629))⨳⩥⨓⊺⇮4932⊋⊺⇮2763≭⊺⇮3212⩖⊿⊺⇮2647)=NaN","reverse_text":"NaN=((⋠∜⊺⇮3130)∋(⩷⊺⇮2072)⪥⨬⪅)↤⩊((↸⊣(⊺⇮4082⊋⊺⇮2629))⨳⩥⨓⊺⇮4932⊋⊺⇮2763≭⊺⇮3212⩖⊿⊺⇮2647)","cot":[{"info":"⋠∜⊺⇮3130=⊺⇮14804","layer":3},{"info":"⩷⊺⇮2072=⊺⇮-24943","layer":3},{"info":"⊺⇮14804∋⊺⇮-24943=⊺⇮-113840","layer":2},{"info":"⊺⇮-113840⪥⨬⪅=⊺⇮-473","layer":1},{"info":"⊺⇮4082⊋⊺⇮2629=⊺⇮30418896","layer":3},{"info":"↸⊣⊺⇮30418896=⊺⇮-30418609","layer":2},{"info":"⊺⇮4932⊋⊺⇮2763=⊺⇮47383680","layer":3},{"info":"⊺⇮3212⩖⊿⊺⇮2647=⊺⇮8246","layer":3},{"info":"⊺⇮47383680≭⊺⇮8246=NaN","layer":2},{"info":"⊺⇮-30418609⨳⩥⨓NaN=NaN","layer":1},{"info":"⊺⇮-473↤⩊NaN=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"(⨙⪌($7309$⊕∕$6215$∛(⊖∈$8738$)))⋓($3264$≴⪞⇿$2193$⪶≀⋏(⇖⫷⫕$1896$))⩼⇪↪($1698$+⪬∐$5951$)⫞⩸⩒($1012$⪛⫼$2705$)","expression":"(⨙⪌(⊺⇮7309⊕∕⊺⇮6215∛(⊖∈⊺⇮8738)))⋓(⊺⇮3264≴⪞⇿⊺⇮2193⪶≀⋏(⇖⫷⫕⊺⇮1896))⩼⇪↪(⊺⇮1698+⪬∐⊺⇮5951)⫞⩸⩒(⊺⇮1012⪛⫼⊺⇮2705)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4961,"operation_count":12,"complexity_ratio":413.4166666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":7309,"base":10},"right_expr":{"type":"numeric_atoms","value":6215,"base":10}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":8738,"base":10}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3264,"base":10},"right_expr":{"type":"numeric_atoms","value":2193,"base":10}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1896,"base":10}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1698,"base":10},"right_expr":{"type":"numeric_atoms","value":5951,"base":10}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":2705,"base":10}}}}},"used_operators":["T2fj7uvVaJ","vEGLkm4Z2k","w2537kitQq","9cloC0Ngie","YFxL8Sc2Zy","ocnLzx9CaJ","zR4jO40bMj","lvlrscuwVU","UHmRx3INFg","XGcMNugi78","2GS7woTJqF","hyuBjUqXlG"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7309","layer":4},{"info":"number node, value=6215","layer":4},{"info":"compute binary expreesion, left_input=7309, right_input=6215, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=7309","layer":3},{"info":"number node, value=8738","layer":4},{"info":"compute unary expreesion, input=8738, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=169166","layer":3},{"info":"compute binary expreesion, left_input=7309, right_input=169166, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"number node, value=3264","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=3264, right_input=2193, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=17892396","layer":3},{"info":"number node, value=1896","layer":4},{"info":"compute unary expreesion, input=1896, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=17892396, right_input=2822, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-53683064","layer":2},{"info":"number node, value=1698","layer":4},{"info":"number node, value=5951","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=5951, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5094","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2705, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-5094, right_input=968, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-5094","layer":2},{"info":"compute binary expreesion, left_input=-53683064, right_input=-5094, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-107331253","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-107331253, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⨙⪌(⊺⇮7309⊕∕⊺⇮6215∛(⊖∈⊺⇮8738)))⋓(⊺⇮3264≴⪞⇿⊺⇮2193⪶≀⋏(⇖⫷⫕⊺⇮1896))⩼⇪↪(⊺⇮1698+⪬∐⊺⇮5951)⫞⩸⩒(⊺⇮1012⪛⫼⊺⇮2705)=⊺⇮0","reverse_text":"⊺⇮0=(⨙⪌(⊺⇮7309⊕∕⊺⇮6215∛(⊖∈⊺⇮8738)))⋓(⊺⇮3264≴⪞⇿⊺⇮2193⪶≀⋏(⇖⫷⫕⊺⇮1896))⩼⇪↪(⊺⇮1698+⪬∐⊺⇮5951)⫞⩸⩒(⊺⇮1012⪛⫼⊺⇮2705)","cot":[{"info":"⊺⇮7309⊕∕⊺⇮6215=⊺⇮7309","layer":3},{"info":"⊖∈⊺⇮8738=⊺⇮169166","layer":3},{"info":"⊺⇮7309∛⊺⇮169166=⊺⇮-670","layer":2},{"info":"⨙⪌⊺⇮-670=⊺⇮868","layer":1},{"info":"⊺⇮3264≴⪞⇿⊺⇮2193=⊺⇮17892396","layer":3},{"info":"⇖⫷⫕⊺⇮1896=⊺⇮2822","layer":3},{"info":"⊺⇮17892396⪶≀⋏⊺⇮2822=⊺⇮-53683064","layer":2},{"info":"⊺⇮1698+⪬∐⊺⇮5951=⊺⇮-5094","layer":3},{"info":"⊺⇮1012⪛⫼⊺⇮2705=⊺⇮968","layer":3},{"info":"⊺⇮-5094⫞⩸⩒⊺⇮968=⊺⇮-5094","layer":2},{"info":"⊺⇮-53683064⩼⇪↪⊺⇮-5094=⊺⇮-107331253","layer":1},{"info":"⊺⇮868⋓⊺⇮-107331253=⊺⇮0","layer":0}]}
{"id":729,"expression_no_base_symbol":"(($2713$∊∟⩊$3222$⪹)⪭((⊑$1129$)⪘⫢($2635$⨐⩸⫘$1096$)))⪃⊛⇣((($6780$⩧⪆$1322$)⩼⇪↪(⊿$4636$))≴⪞⇿(⨝⨆$1000$⩌⋺$1953$))","expression":"((⊺⇮2713∊∟⩊⊺⇮3222⪹)⪭((⊑⊺⇮1129)⪘⫢(⊺⇮2635⨐⩸⫘⊺⇮1096)))⪃⊛⇣(((⊺⇮6780⩧⪆⊺⇮1322)⩼⇪↪(⊿⊺⇮4636))≴⪞⇿(⨝⨆⊺⇮1000⩌⋺⊺⇮1953))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":132372,"operation_count":13,"complexity_ratio":10182.461538461539,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2713,"base":10},"right_expr":{"type":"numeric_atoms","value":3222,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1129,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2635,"base":10},"right_expr":{"type":"numeric_atoms","value":1096,"base":10}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6780,"base":10},"right_expr":{"type":"numeric_atoms","value":1322,"base":10}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":4636,"base":10}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1000,"base":10},"right_expr":{"type":"numeric_atoms","value":1953,"base":10}}}}},"used_operators":["rrgAzCduG9","j9kHMeSvPp","B3sABdIn96","ddLRYrp01A","oacrs7FA3X","IkUmn0D7oy","fu6greOZ01","lvlrscuwVU","ocnLzx9CaJ","Ikt5ks8PT7","DO4fhlbJSI","bQ67fsrMVf","g7Hmc5v1ko"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","3ViojmjbAp","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","tifHPKVTfV","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2713","layer":4},{"info":"number node, value=3222","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=3222, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3222","layer":3},{"info":"compute unary expreesion, input=3222, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=10936","layer":2},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=2635","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=1096, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10936, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"number node, value=6780","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=6780, right_input=1322, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1322","layer":3},{"info":"number node, value=4636","layer":4},{"info":"compute unary expreesion, input=4636, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-19282","layer":3},{"info":"compute binary expreesion, left_input=-1322, right_input=-19282, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=131547","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1953, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3074","layer":3},{"info":"compute unary expreesion, input=-3074, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-3283","layer":2},{"info":"compute binary expreesion, left_input=131547, right_input=-3283, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2713∊∟⩊⊺⇮3222⪹)⪭((⊑⊺⇮1129)⪘⫢(⊺⇮2635⨐⩸⫘⊺⇮1096)))⪃⊛⇣(((⊺⇮6780⩧⪆⊺⇮1322)⩼⇪↪(⊿⊺⇮4636))≴⪞⇿(⨝⨆⊺⇮1000⩌⋺⊺⇮1953))=⊺⇮1234","reverse_text":"⊺⇮1234=((⊺⇮2713∊∟⩊⊺⇮3222⪹)⪭((⊑⊺⇮1129)⪘⫢(⊺⇮2635⨐⩸⫘⊺⇮1096)))⪃⊛⇣(((⊺⇮6780⩧⪆⊺⇮1322)⩼⇪↪(⊿⊺⇮4636))≴⪞⇿(⨝⨆⊺⇮1000⩌⋺⊺⇮1953))","cot":[{"info":"⊺⇮2713∊∟⩊⊺⇮3222=⊺⇮3222","layer":3},{"info":"⊺⇮3222⪹=⊺⇮10936","layer":2},{"info":"⊑⊺⇮1129=⊺⇮192","layer":3},{"info":"⊺⇮2635⨐⩸⫘⊺⇮1096=NaN","layer":3},{"info":"⊺⇮192⪘⫢NaN=NaN","layer":2},{"info":"⊺⇮10936⪭NaN=NaN","layer":1},{"info":"⊺⇮6780⩧⪆⊺⇮1322=⊺⇮-1322","layer":3},{"info":"⊿⊺⇮4636=⊺⇮-19282","layer":3},{"info":"⊺⇮-1322⩼⇪↪⊺⇮-19282=⊺⇮131547","layer":2},{"info":"⊺⇮1000⩌⋺⊺⇮1953=⊺⇮-3074","layer":3},{"info":"⨝⨆⊺⇮-3074=⊺⇮-3283","layer":2},{"info":"⊺⇮131547≴⪞⇿⊺⇮-3283=Inf","layer":1},{"info":"NaN⪃⊛⇣Inf=⊺⇮1234","layer":0}]}
{"id":730,"expression_no_base_symbol":"(⪭⩑⪱($2244$⪮%⊝$1574$⊍⩺⋍$6489$⇍⊗$5035$))⋛(⫛⫱⨽$2310$⨔⇊$3640$)∣(($1057$⇌⫙⪟$4102$)⨪↰⇹($4336$∲⫓$5098$))","expression":"(⪭⩑⪱(⊺⇮2244⪮%⊝⊺⇮1574⊍⩺⋍⊺⇮6489⇍⊗⊺⇮5035))⋛(⫛⫱⨽⊺⇮2310⨔⇊⊺⇮3640)∣((⊺⇮1057⇌⫙⪟⊺⇮4102)⨪↰⇹(⊺⇮4336∲⫓⊺⇮5098))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2443,"operation_count":11,"complexity_ratio":222.0909090909091,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2244,"base":10},"right_expr":{"type":"numeric_atoms","value":1574,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":6489,"base":10},"right_expr":{"type":"numeric_atoms","value":5035,"base":10}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2310,"base":10},"right_expr":{"type":"numeric_atoms","value":3640,"base":10}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1057,"base":10},"right_expr":{"type":"numeric_atoms","value":4102,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4336,"base":10},"right_expr":{"type":"numeric_atoms","value":5098,"base":10}}}}},"used_operators":["YbUVn0Rbpy","SIgE0bArFf","OXDGMFPWZM","IWmyXbctLI","5uvYHDjeKN","PPChnnnBFF","DlLNRPXxWL","JclMnS0uGI","tmPS8pqC7x","AFVx7xoS7T","i8ToyICDmI"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rGHVDoGpnC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rJVOvQCfKK","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮74754576","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2244","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=1574, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4804","layer":3},{"info":"number node, value=6489","layer":4},{"info":"number node, value=5035","layer":4},{"info":"compute binary expreesion, left_input=6489, right_input=5035, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=4804, right_input=-244, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=2310","layer":4},{"info":"number node, value=3640","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=3640, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3640","layer":3},{"info":"compute unary expreesion, input=3640, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=4102","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=4102, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=4336","layer":4},{"info":"number node, value=5098","layer":4},{"info":"compute binary expreesion, left_input=4336, right_input=5098, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=113","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=957","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=957, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=74754576","layer":0}],"base":10,"result_base":10,"text":"(⪭⩑⪱(⊺⇮2244⪮%⊝⊺⇮1574⊍⩺⋍⊺⇮6489⇍⊗⊺⇮5035))⋛(⫛⫱⨽⊺⇮2310⨔⇊⊺⇮3640)∣((⊺⇮1057⇌⫙⪟⊺⇮4102)⨪↰⇹(⊺⇮4336∲⫓⊺⇮5098))=⊺⇮74754576","reverse_text":"⊺⇮74754576=(⪭⩑⪱(⊺⇮2244⪮%⊝⊺⇮1574⊍⩺⋍⊺⇮6489⇍⊗⊺⇮5035))⋛(⫛⫱⨽⊺⇮2310⨔⇊⊺⇮3640)∣((⊺⇮1057⇌⫙⪟⊺⇮4102)⨪↰⇹(⊺⇮4336∲⫓⊺⇮5098))","cot":[{"info":"⊺⇮2244⪮%⊝⊺⇮1574=⊺⇮4804","layer":3},{"info":"⊺⇮6489⇍⊗⊺⇮5035=⊺⇮-244","layer":3},{"info":"⊺⇮4804⊍⩺⋍⊺⇮-244=NaN","layer":2},{"info":"⪭⩑⪱NaN=⊺⇮8320752","layer":1},{"info":"⊺⇮2310⨔⇊⊺⇮3640=⊺⇮3640","layer":3},{"info":"⫛⫱⨽⊺⇮3640=⊺⇮0","layer":2},{"info":"⊺⇮1057⇌⫙⪟⊺⇮4102=⊺⇮113","layer":3},{"info":"⊺⇮4336∲⫓⊺⇮5098=⊺⇮0","layer":3},{"info":"⊺⇮113⨪↰⇹⊺⇮0=⊺⇮113","layer":2},{"info":"⊺⇮0∣⊺⇮113=⊺⇮957","layer":1},{"info":"⊺⇮8320752⋛⊺⇮957=⊺⇮74754576","layer":0}]}
{"id":731,"expression_no_base_symbol":"∮(($1451$⇔⨋)⨽$1552$⫢⨠$1742$⫦⪉($7772$⋾⨃∁$2889$)≴⪞⇿($6378$⨚⇆$4450$))","expression":"∮((⊺⇮1451⇔⨋)⨽⊺⇮1552⫢⨠⊺⇮1742⫦⪉(⊺⇮7772⋾⨃∁⊺⇮2889)≴⪞⇿(⊺⇮6378⨚⇆⊺⇮4450))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":83483870,"operation_count":8,"complexity_ratio":10435483.75,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1451,"base":10}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1552,"base":10},"right_expr":{"type":"numeric_atoms","value":1742,"base":10}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":7772,"base":10},"right_expr":{"type":"numeric_atoms","value":2889,"base":10}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":6378,"base":10},"right_expr":{"type":"numeric_atoms","value":4450,"base":10}}}}},"used_operators":["CqXKPLVYql","wscyQdcy20","8HhzD0ZcuI","uBihLCJcMX","xlXykHWxX1","lvlrscuwVU","212REbPD9h","lwHaAYXP2r"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1451","layer":4},{"info":"compute unary expreesion, input=1451, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=7636","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=1742, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=7636, right_input=160, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-174924654","layer":2},{"info":"number node, value=7772","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=7772, right_input=2889, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=83428448","layer":3},{"info":"number node, value=6378","layer":4},{"info":"number node, value=4450","layer":4},{"info":"compute binary expreesion, left_input=6378, right_input=4450, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=83428448, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=-174924654, right_input=inf, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=349853146","layer":1},{"info":"compute unary expreesion, input=349853146, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"∮((⊺⇮1451⇔⨋)⨽⊺⇮1552⫢⨠⊺⇮1742⫦⪉(⊺⇮7772⋾⨃∁⊺⇮2889)≴⪞⇿(⊺⇮6378⨚⇆⊺⇮4450))=⊺⇮67","reverse_text":"⊺⇮67=∮((⊺⇮1451⇔⨋)⨽⊺⇮1552⫢⨠⊺⇮1742⫦⪉(⊺⇮7772⋾⨃∁⊺⇮2889)≴⪞⇿(⊺⇮6378⨚⇆⊺⇮4450))","cot":[{"info":"⊺⇮1451⇔⨋=⊺⇮7636","layer":3},{"info":"⊺⇮1552⫢⨠⊺⇮1742=⊺⇮160","layer":3},{"info":"⊺⇮7636⨽⊺⇮160=⊺⇮-174924654","layer":2},{"info":"⊺⇮7772⋾⨃∁⊺⇮2889=⊺⇮83428448","layer":3},{"info":"⊺⇮6378⨚⇆⊺⇮4450=NaN","layer":3},{"info":"⊺⇮83428448≴⪞⇿NaN=Inf","layer":2},{"info":"⊺⇮-174924654⫦⪉Inf=⊺⇮349853146","layer":1},{"info":"∮⊺⇮349853146=⊺⇮67","layer":0}]}
{"id":732,"expression_no_base_symbol":"⫶⊄≣(⊑(($1076$⩹$1349$)⪭≯$2421$⋓$2790$))","expression":"⫶⊄≣(⊑((⊺⇮1076⩹⊺⇮1349)⪭≯⊺⇮2421⋓⊺⇮2790))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":837,"operation_count":5,"complexity_ratio":167.4,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1076,"base":10},"right_expr":{"type":"numeric_atoms","value":1349,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2421,"base":10},"right_expr":{"type":"numeric_atoms","value":2790,"base":10}}}}},"used_operators":["wxb3vTeyAj","IkUmn0D7oy","XAx5wpdLa6","2Wsdkap16l","T2fj7uvVaJ"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⊺⇮663697","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=1349, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1347","layer":3},{"info":"number node, value=2421","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=2790, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1347, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=663697","layer":0}],"base":10,"result_base":10,"text":"⫶⊄≣(⊑((⊺⇮1076⩹⊺⇮1349)⪭≯⊺⇮2421⋓⊺⇮2790))=⊺⇮663697","reverse_text":"⊺⇮663697=⫶⊄≣(⊑((⊺⇮1076⩹⊺⇮1349)⪭≯⊺⇮2421⋓⊺⇮2790))","cot":[{"info":"⊺⇮1076⩹⊺⇮1349=⊺⇮1347","layer":3},{"info":"⊺⇮2421⋓⊺⇮2790=⊺⇮0","layer":3},{"info":"⊺⇮1347⪭≯⊺⇮0=NaN","layer":2},{"info":"⊑NaN=⊺⇮192","layer":1},{"info":"⫶⊄≣⊺⇮192=⊺⇮663697","layer":0}]}
{"id":733,"expression_no_base_symbol":"($5272$⇤$1389$)⨽∌($5042$≥⨤⩑$1834$)⨽∌((⇈$1824$)⊍⩺⋍$3212$⇄$1887$)⇣⩺⋵($4355$⩨$2653$⨵⪆$4283$≃$6109$)⊔($2581$⪔$8373$↙$2087$∺≝⩲$2186$)","expression":"(⊺⇮5272⇤⊺⇮1389)⨽∌(⊺⇮5042≥⨤⩑⊺⇮1834)⨽∌((⇈⊺⇮1824)⊍⩺⋍⊺⇮3212⇄⊺⇮1887)⇣⩺⋵(⊺⇮4355⩨⊺⇮2653⨵⪆⊺⇮4283≃⊺⇮6109)⊔(⊺⇮2581⪔⊺⇮8373↙⊺⇮2087∺≝⩲⊺⇮2186)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":10096,"operation_count":15,"complexity_ratio":673.0666666666667,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":5272,"base":10},"right_expr":{"type":"numeric_atoms","value":1389,"base":10}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5042,"base":10},"right_expr":{"type":"numeric_atoms","value":1834,"base":10}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1824,"base":10}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3212,"base":10},"right_expr":{"type":"numeric_atoms","value":1887,"base":10}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4355,"base":10},"right_expr":{"type":"numeric_atoms","value":2653,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4283,"base":10},"right_expr":{"type":"numeric_atoms","value":6109,"base":10}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2581,"base":10},"right_expr":{"type":"numeric_atoms","value":8373,"base":10}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2087,"base":10},"right_expr":{"type":"numeric_atoms","value":2186,"base":10}}}}},"used_operators":["F4yD0voBRQ","9samAPKr6k","YSKBFp38Pu","gJLn6v0xnP","OXDGMFPWZM","SLLxy00UIr","3EYGwJThht","E4l6HwMY31","2DQ55sFlQl","2DlMacCsIx","YbVcJGFEVW","yyfyN0ffXY","GjBEYRfMaF","KPf6cnQVty"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⊺⇮-260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5272","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=5272, right_input=1389, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-30457","layer":3},{"info":"number node, value=5042","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=5042, right_input=1834, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-30457, right_input=1234, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=1824","layer":4},{"info":"compute unary expreesion, input=1824, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=3212","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=3212, right_input=1887, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"number node, value=4355","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=2653, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4283","layer":4},{"info":"number node, value=6109","layer":4},{"info":"compute binary expreesion, left_input=4283, right_input=6109, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-17172","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-17172, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2581","layer":4},{"info":"number node, value=8373","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=8373, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2087","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=2186, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-480, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=285","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=285, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5272⇤⊺⇮1389)⨽∌(⊺⇮5042≥⨤⩑⊺⇮1834)⨽∌((⇈⊺⇮1824)⊍⩺⋍⊺⇮3212⇄⊺⇮1887)⇣⩺⋵(⊺⇮4355⩨⊺⇮2653⨵⪆⊺⇮4283≃⊺⇮6109)⊔(⊺⇮2581⪔⊺⇮8373↙⊺⇮2087∺≝⩲⊺⇮2186)=⊺⇮-260","reverse_text":"⊺⇮-260=(⊺⇮5272⇤⊺⇮1389)⨽∌(⊺⇮5042≥⨤⩑⊺⇮1834)⨽∌((⇈⊺⇮1824)⊍⩺⋍⊺⇮3212⇄⊺⇮1887)⇣⩺⋵(⊺⇮4355⩨⊺⇮2653⨵⪆⊺⇮4283≃⊺⇮6109)⊔(⊺⇮2581⪔⊺⇮8373↙⊺⇮2087∺≝⩲⊺⇮2186)","cot":[{"info":"⊺⇮5272⇤⊺⇮1389=⊺⇮-30457","layer":3},{"info":"⊺⇮5042≥⨤⩑⊺⇮1834=⊺⇮1234","layer":3},{"info":"⊺⇮-30457⨽∌⊺⇮1234=⊺⇮0","layer":2},{"info":"⇈⊺⇮1824=⊺⇮-447","layer":3},{"info":"⊺⇮3212⇄⊺⇮1887=⊺⇮0","layer":3},{"info":"⊺⇮-447⊍⩺⋍⊺⇮0=NaN","layer":2},{"info":"⊺⇮0⨽∌NaN=NaN","layer":1},{"info":"⊺⇮4355⩨⊺⇮2653=⊺⇮0","layer":3},{"info":"⊺⇮4283≃⊺⇮6109=⊺⇮-17172","layer":3},{"info":"⊺⇮0⨵⪆⊺⇮-17172=⊺⇮160","layer":2},{"info":"⊺⇮2581⪔⊺⇮8373=⊺⇮450","layer":3},{"info":"⊺⇮2087∺≝⩲⊺⇮2186=⊺⇮160","layer":3},{"info":"⊺⇮450↙⊺⇮160=⊺⇮-480","layer":2},{"info":"⊺⇮160⊔⊺⇮-480=⊺⇮285","layer":1},{"info":"NaN⇣⩺⋵⊺⇮285=⊺⇮-260","layer":0}]}
{"id":734,"expression_no_base_symbol":"((↽≂$1546$⋓$4383$)⩷∴($7271$→⨶⪴$5705$⫔⩽⩺$2453$⨸$3379$))⨥⫆(∂⩏⊆(∂$2986$))⫗⊷⫓((⪸$2713$)⫥∨⫟($3699$⊪))","expression":"((↽≂⊺⇮1546⋓⊺⇮4383)⩷∴(⊺⇮7271→⨶⪴⊺⇮5705⫔⩽⩺⊺⇮2453⨸⊺⇮3379))⨥⫆(∂⩏⊆(∂⊺⇮2986))⫗⊷⫓((⪸⊺⇮2713)⫥∨⫟(⊺⇮3699⊪))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":90393,"operation_count":13,"complexity_ratio":6953.307692307692,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1546,"base":10},"right_expr":{"type":"numeric_atoms","value":4383,"base":10}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":7271,"base":10},"right_expr":{"type":"numeric_atoms","value":5705,"base":10}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2453,"base":10},"right_expr":{"type":"numeric_atoms","value":3379,"base":10}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2986,"base":10}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2713,"base":10}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3699,"base":10}}}}},"used_operators":["yXekIHxTD4","9FxExcQeMw","u6S6b8DprG","T2fj7uvVaJ","i9eR4S00cU","bF6eod5Gvf","KmoU8R5UQR","zashukvMKz","8WDwsbhb0R","Uaa54Peajs","KYD54nUTWz","86A5ENbKR9","zVYPLywUTj"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tw270M8GLb","fu6greOZ01","8w2t5hMYqp","9FxExcQeMw","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","14qkJME0vr","eLAdDNolq6","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1546","layer":4},{"info":"number node, value=4383","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=4383, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"number node, value=7271","layer":4},{"info":"number node, value=5705","layer":4},{"info":"compute binary expreesion, left_input=7271, right_input=5705, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-17115","layer":3},{"info":"number node, value=2453","layer":4},{"info":"number node, value=3379","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=3379, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4906","layer":3},{"info":"compute binary expreesion, left_input=-17115, right_input=4906, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2986","layer":4},{"info":"compute unary expreesion, input=2986, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":2},{"info":"number node, value=2713","layer":4},{"info":"compute unary expreesion, input=2713, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-45912","layer":3},{"info":"number node, value=3699","layer":4},{"info":"compute unary expreesion, input=3699, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-45912, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↽≂⊺⇮1546⋓⊺⇮4383)⩷∴(⊺⇮7271→⨶⪴⊺⇮5705⫔⩽⩺⊺⇮2453⨸⊺⇮3379))⨥⫆(∂⩏⊆(∂⊺⇮2986))⫗⊷⫓((⪸⊺⇮2713)⫥∨⫟(⊺⇮3699⊪))=NaN","reverse_text":"NaN=((↽≂⊺⇮1546⋓⊺⇮4383)⩷∴(⊺⇮7271→⨶⪴⊺⇮5705⫔⩽⩺⊺⇮2453⨸⊺⇮3379))⨥⫆(∂⩏⊆(∂⊺⇮2986))⫗⊷⫓((⪸⊺⇮2713)⫥∨⫟(⊺⇮3699⊪))","cot":[{"info":"⊺⇮1546⋓⊺⇮4383=⊺⇮0","layer":3},{"info":"↽≂⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮7271→⨶⪴⊺⇮5705=⊺⇮-17115","layer":3},{"info":"⊺⇮2453⨸⊺⇮3379=⊺⇮4906","layer":3},{"info":"⊺⇮-17115⫔⩽⩺⊺⇮4906=NaN","layer":2},{"info":"⊺⇮0⩷∴NaN=NaN","layer":1},{"info":"∂⊺⇮2986=NaN","layer":3},{"info":"∂⩏⊆NaN=NaN","layer":2},{"info":"⪸⊺⇮2713=⊺⇮-45912","layer":3},{"info":"⊺⇮3699⊪=⊺⇮0","layer":3},{"info":"⊺⇮-45912⫥∨⫟⊺⇮0=NaN","layer":2},{"info":"NaN⫗⊷⫓NaN=⊺⇮-134","layer":1},{"info":"NaN⨥⫆⊺⇮-134=NaN","layer":0}]}
{"id":735,"expression_no_base_symbol":"(($1332$⩨$1354$)⨳⩥⨓(⨈⪑$1093$))⇣⩺⋵(($4975$∙⊟$1505$)⫩⊇)≃(($3015$⫢⨠$1017$≭($2228$⫔⩽⩺$8308$))⩅⪻⪻)","expression":"((⊺⇮1332⩨⊺⇮1354)⨳⩥⨓(⨈⪑⊺⇮1093))⇣⩺⋵((⊺⇮4975∙⊟⊺⇮1505)⫩⊇)≃((⊺⇮3015⫢⨠⊺⇮1017≭(⊺⇮2228⫔⩽⩺⊺⇮8308))⩅⪻⪻)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5353,"operation_count":11,"complexity_ratio":486.6363636363636,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1332,"base":10},"right_expr":{"type":"numeric_atoms","value":1354,"base":10}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1093,"base":10}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4975,"base":10},"right_expr":{"type":"numeric_atoms","value":1505,"base":10}}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3015,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2228,"base":10},"right_expr":{"type":"numeric_atoms","value":8308,"base":10}}}}},"used_operators":["YbVcJGFEVW","F4yD0voBRQ","nCS4ZIUYfx","2DlMacCsIx","mp94q5OcYM","BjRHVeLaeN","SxTAKzQCrw","kHoXpA7yos","rxpJgHHUmx","xlXykHWxX1","i9eR4S00cU"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","AHs5Up7iyr","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Tw270M8GLb","fu6greOZ01"],"result":"⊺⇮500","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1332","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=1354, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=868, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=871","layer":2},{"info":"number node, value=4975","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=4975, right_input=1505, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=74521","layer":3},{"info":"compute unary expreesion, input=74521, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-74479","layer":2},{"info":"compute binary expreesion, left_input=871, right_input=-74479, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=3015","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=1017, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2228","layer":4},{"info":"number node, value=8308","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=8308, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=3979, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=500","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1332⩨⊺⇮1354)⨳⩥⨓(⨈⪑⊺⇮1093))⇣⩺⋵((⊺⇮4975∙⊟⊺⇮1505)⫩⊇)≃((⊺⇮3015⫢⨠⊺⇮1017≭(⊺⇮2228⫔⩽⩺⊺⇮8308))⩅⪻⪻)=⊺⇮500","reverse_text":"⊺⇮500=((⊺⇮1332⩨⊺⇮1354)⨳⩥⨓(⨈⪑⊺⇮1093))⇣⩺⋵((⊺⇮4975∙⊟⊺⇮1505)⫩⊇)≃((⊺⇮3015⫢⨠⊺⇮1017≭(⊺⇮2228⫔⩽⩺⊺⇮8308))⩅⪻⪻)","cot":[{"info":"⊺⇮1332⩨⊺⇮1354=⊺⇮-3","layer":3},{"info":"⨈⪑⊺⇮1093=⊺⇮868","layer":3},{"info":"⊺⇮-3⨳⩥⨓⊺⇮868=⊺⇮871","layer":2},{"info":"⊺⇮4975∙⊟⊺⇮1505=⊺⇮74521","layer":3},{"info":"⊺⇮74521⫩⊇=⊺⇮-74479","layer":2},{"info":"⊺⇮871⇣⩺⋵⊺⇮-74479=⊺⇮-260","layer":1},{"info":"⊺⇮3015⫢⨠⊺⇮1017=⊺⇮160","layer":3},{"info":"⊺⇮2228⫔⩽⩺⊺⇮8308=NaN","layer":3},{"info":"⊺⇮160≭NaN=NaN","layer":2},{"info":"NaN⩅⪻⪻=⊺⇮3979","layer":1},{"info":"⊺⇮-260≃⊺⇮3979=⊺⇮500","layer":0}]}
{"id":736,"expression_no_base_symbol":"((⇋⊎⋝($3043$⊢$2419$))≥⨤⩑($1591$⫁⪎$1155$⪎⩰))⨂≜(⇵⪽($1011$⫁⪎$1663$∝$4847$⩧⪆$2040$))","expression":"((⇋⊎⋝(⊺⇮3043⊢⊺⇮2419))≥⨤⩑(⊺⇮1591⫁⪎⊺⇮1155⪎⩰))⨂≜(⇵⪽(⊺⇮1011⫁⪎⊺⇮1663∝⊺⇮4847⩧⪆⊺⇮2040))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":426270,"operation_count":10,"complexity_ratio":42627.0,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3043,"base":10},"right_expr":{"type":"numeric_atoms","value":2419,"base":10}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1591,"base":10},"right_expr":{"type":"numeric_atoms","value":1155,"base":10}}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1011,"base":10},"right_expr":{"type":"numeric_atoms","value":1663,"base":10}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4847,"base":10},"right_expr":{"type":"numeric_atoms","value":2040,"base":10}}}}},"used_operators":["k1SHOSEABc","gJLn6v0xnP","CzM2PEoXns","5twsqlHp2o","2ufhKmSs5H","xRrnTEsQ6j","ZGCBLdVRRX","cTDWOvIxvz","Ikt5ks8PT7"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","U7g4x0WXJJ","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3043","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=2419, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6330","layer":3},{"info":"compute unary expreesion, input=-6330, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1591","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=1155, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=436","layer":3},{"info":"compute unary expreesion, input=436, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-34, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1663, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-652","layer":3},{"info":"number node, value=4847","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=4847, right_input=2040, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2040","layer":3},{"info":"compute binary expreesion, left_input=-652, right_input=-2040, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-647","layer":2},{"info":"compute unary expreesion, input=-647, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⇋⊎⋝(⊺⇮3043⊢⊺⇮2419))≥⨤⩑(⊺⇮1591⫁⪎⊺⇮1155⪎⩰))⨂≜(⇵⪽(⊺⇮1011⫁⪎⊺⇮1663∝⊺⇮4847⩧⪆⊺⇮2040))=NaN","reverse_text":"NaN=((⇋⊎⋝(⊺⇮3043⊢⊺⇮2419))≥⨤⩑(⊺⇮1591⫁⪎⊺⇮1155⪎⩰))⨂≜(⇵⪽(⊺⇮1011⫁⪎⊺⇮1663∝⊺⇮4847⩧⪆⊺⇮2040))","cot":[{"info":"⊺⇮3043⊢⊺⇮2419=⊺⇮-6330","layer":3},{"info":"⇋⊎⋝⊺⇮-6330=NaN","layer":2},{"info":"⊺⇮1591⫁⪎⊺⇮1155=⊺⇮436","layer":3},{"info":"⊺⇮436⪎⩰=⊺⇮-34","layer":2},{"info":"NaN≥⨤⩑⊺⇮-34=⊺⇮1234","layer":1},{"info":"⊺⇮1011⫁⪎⊺⇮1663=⊺⇮-652","layer":3},{"info":"⊺⇮4847⩧⪆⊺⇮2040=⊺⇮-2040","layer":3},{"info":"⊺⇮-652∝⊺⇮-2040=⊺⇮-647","layer":2},{"info":"⇵⪽⊺⇮-647=NaN","layer":1},{"info":"⊺⇮1234⨂≜NaN=NaN","layer":0}]}
{"id":737,"expression_no_base_symbol":"(⋃(($4182$⨵⪆$6176$)⋳⪒$5403$∳⫺$6127$))∪⫐((≑⋹$1313$)⩌⋺($5460$∇⊂⋱$1464$))∴($2354$⨽∌$1555$⩨$1357$≬⇓$6466$)","expression":"(⋃((⊺⇮4182⨵⪆⊺⇮6176)⋳⪒⊺⇮5403∳⫺⊺⇮6127))∪⫐((≑⋹⊺⇮1313)⩌⋺(⊺⇮5460∇⊂⋱⊺⇮1464))∴(⊺⇮2354⨽∌⊺⇮1555⩨⊺⇮1357≬⇓⊺⇮6466)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":272,"operation_count":12,"complexity_ratio":22.666666666666668,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4182,"base":10},"right_expr":{"type":"numeric_atoms","value":6176,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5403,"base":10},"right_expr":{"type":"numeric_atoms","value":6127,"base":10}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1313,"base":10}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5460,"base":10},"right_expr":{"type":"numeric_atoms","value":1464,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2354,"base":10},"right_expr":{"type":"numeric_atoms","value":1555,"base":10}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1357,"base":10},"right_expr":{"type":"numeric_atoms","value":6466,"base":10}}}}},"used_operators":["7YooWSwCyH","3mBM5G4a3l","12rbrZMWeM","2DQ55sFlQl","AzXXKTstlj","hrf7POJlIJ","g7Hmc5v1ko","6B9nyZLogK","nhYeJWJD5X","2DlMacCsIx","9samAPKr6k","jWTQ2TZYIH"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"⊺⇮688","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4182","layer":4},{"info":"number node, value=6176","layer":4},{"info":"compute binary expreesion, left_input=4182, right_input=6176, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5403","layer":4},{"info":"number node, value=6127","layer":4},{"info":"compute binary expreesion, left_input=5403, right_input=6127, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-260, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=293","layer":2},{"info":"compute unary expreesion, input=293, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=688","layer":1},{"info":"number node, value=1313","layer":4},{"info":"compute unary expreesion, input=1313, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=5460","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=5460, right_input=1464, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=10374","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=10374, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-12145","layer":2},{"info":"number node, value=2354","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=1555, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1357","layer":4},{"info":"number node, value=6466","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=6466, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-22, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12145, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-22642","layer":1},{"info":"compute binary expreesion, left_input=688, right_input=-22642, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=688","layer":0}],"base":10,"result_base":10,"text":"(⋃((⊺⇮4182⨵⪆⊺⇮6176)⋳⪒⊺⇮5403∳⫺⊺⇮6127))∪⫐((≑⋹⊺⇮1313)⩌⋺(⊺⇮5460∇⊂⋱⊺⇮1464))∴(⊺⇮2354⨽∌⊺⇮1555⩨⊺⇮1357≬⇓⊺⇮6466)=⊺⇮688","reverse_text":"⊺⇮688=(⋃((⊺⇮4182⨵⪆⊺⇮6176)⋳⪒⊺⇮5403∳⫺⊺⇮6127))∪⫐((≑⋹⊺⇮1313)⩌⋺(⊺⇮5460∇⊂⋱⊺⇮1464))∴(⊺⇮2354⨽∌⊺⇮1555⩨⊺⇮1357≬⇓⊺⇮6466)","cot":[{"info":"⊺⇮4182⨵⪆⊺⇮6176=⊺⇮160","layer":3},{"info":"⊺⇮5403∳⫺⊺⇮6127=⊺⇮-260","layer":3},{"info":"⊺⇮160⋳⪒⊺⇮-260=⊺⇮293","layer":2},{"info":"⋃⊺⇮293=⊺⇮688","layer":1},{"info":"≑⋹⊺⇮1313=⊺⇮1650","layer":3},{"info":"⊺⇮5460∇⊂⋱⊺⇮1464=⊺⇮10374","layer":3},{"info":"⊺⇮1650⩌⋺⊺⇮10374=⊺⇮-12145","layer":2},{"info":"⊺⇮2354⨽∌⊺⇮1555=⊺⇮0","layer":3},{"info":"⊺⇮1357≬⇓⊺⇮6466=⊺⇮-22","layer":3},{"info":"⊺⇮0⩨⊺⇮-22=NaN","layer":2},{"info":"⊺⇮-12145∴NaN=⊺⇮-22642","layer":1},{"info":"⊺⇮688∪⫐⊺⇮-22642=⊺⇮688","layer":0}]}
{"id":738,"expression_no_base_symbol":"(($2003$⊹∫⫚$3121$)≝⊿$5538$⨽∌$5047$⫡⨏($1402$⨌↪)⇤($1642$⪄$1706$))↼⊘⨖($1704$∘$1200$⊉≛↸(⫎≠⋺$1134$))⩼⇪↪((⇜⊴$1248$)⇍⊗($3185$⪮%⊝$3453$))","expression":"((⊺⇮2003⊹∫⫚⊺⇮3121)≝⊿⊺⇮5538⨽∌⊺⇮5047⫡⨏(⊺⇮1402⨌↪)⇤(⊺⇮1642⪄⊺⇮1706))↼⊘⨖(⊺⇮1704∘⊺⇮1200⊉≛↸(⫎≠⋺⊺⇮1134))⩼⇪↪((⇜⊴⊺⇮1248)⇍⊗(⊺⇮3185⪮%⊝⊺⇮3453))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":407,"operation_count":15,"complexity_ratio":27.133333333333333,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2003,"base":10},"right_expr":{"type":"numeric_atoms","value":3121,"base":10}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":5538,"base":10},"right_expr":{"type":"numeric_atoms","value":5047,"base":10}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":1402,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1642,"base":10},"right_expr":{"type":"numeric_atoms","value":1706,"base":10}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1704,"base":10},"right_expr":{"type":"numeric_atoms","value":1200,"base":10}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1134,"base":10}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1248,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3185,"base":10},"right_expr":{"type":"numeric_atoms","value":3453,"base":10}}}}},"used_operators":["bPywburJMS","QMFrweE19q","OKKcZfAt5B","uWAJUKEvyW","9samAPKr6k","YSKBFp38Pu","cWQsF5MvuD","SUmda5xLS4","ocnLzx9CaJ","DZ8iAZOCBD","Z5m6OM72h2","LYeZOJ0nQG","5uvYHDjeKN","XwDhCwWbUn","IWmyXbctLI"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⊺⇮28892","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2003","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=3121, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-188","layer":3},{"info":"number node, value=5538","layer":4},{"info":"number node, value=5047","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=5047, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-188, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-345","layer":2},{"info":"number node, value=1402","layer":4},{"info":"compute unary expreesion, input=1402, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1706, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-245929","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=-245929, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=1234893","layer":2},{"info":"compute binary expreesion, left_input=-345, right_input=1234893, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=2468844","layer":1},{"info":"number node, value=1704","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=1200, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3408","layer":3},{"info":"number node, value=1134","layer":4},{"info":"compute unary expreesion, input=1134, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3408, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6816","layer":2},{"info":"number node, value=1248","layer":4},{"info":"compute unary expreesion, input=1248, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-280814","layer":3},{"info":"number node, value=3185","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=3453, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6686","layer":3},{"info":"compute binary expreesion, left_input=-280814, right_input=6686, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=6816, right_input=-244, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=14557","layer":1},{"info":"compute binary expreesion, left_input=2468844, right_input=14557, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=28892","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2003⊹∫⫚⊺⇮3121)≝⊿⊺⇮5538⨽∌⊺⇮5047⫡⨏(⊺⇮1402⨌↪)⇤(⊺⇮1642⪄⊺⇮1706))↼⊘⨖(⊺⇮1704∘⊺⇮1200⊉≛↸(⫎≠⋺⊺⇮1134))⩼⇪↪((⇜⊴⊺⇮1248)⇍⊗(⊺⇮3185⪮%⊝⊺⇮3453))=⊺⇮28892","reverse_text":"⊺⇮28892=((⊺⇮2003⊹∫⫚⊺⇮3121)≝⊿⊺⇮5538⨽∌⊺⇮5047⫡⨏(⊺⇮1402⨌↪)⇤(⊺⇮1642⪄⊺⇮1706))↼⊘⨖(⊺⇮1704∘⊺⇮1200⊉≛↸(⫎≠⋺⊺⇮1134))⩼⇪↪((⇜⊴⊺⇮1248)⇍⊗(⊺⇮3185⪮%⊝⊺⇮3453))","cot":[{"info":"⊺⇮2003⊹∫⫚⊺⇮3121=⊺⇮-188","layer":3},{"info":"⊺⇮5538⨽∌⊺⇮5047=⊺⇮0","layer":3},{"info":"⊺⇮-188≝⊿⊺⇮0=⊺⇮-345","layer":2},{"info":"⊺⇮1402⨌↪=⊺⇮-480","layer":3},{"info":"⊺⇮1642⪄⊺⇮1706=⊺⇮-245929","layer":3},{"info":"⊺⇮-480⇤⊺⇮-245929=⊺⇮1234893","layer":2},{"info":"⊺⇮-345⫡⨏⊺⇮1234893=⊺⇮2468844","layer":1},{"info":"⊺⇮1704∘⊺⇮1200=⊺⇮3408","layer":3},{"info":"⫎≠⋺⊺⇮1134=⊺⇮0","layer":3},{"info":"⊺⇮3408⊉≛↸⊺⇮0=⊺⇮6816","layer":2},{"info":"⇜⊴⊺⇮1248=⊺⇮-280814","layer":3},{"info":"⊺⇮3185⪮%⊝⊺⇮3453=⊺⇮6686","layer":3},{"info":"⊺⇮-280814⇍⊗⊺⇮6686=⊺⇮-244","layer":2},{"info":"⊺⇮6816⩼⇪↪⊺⇮-244=⊺⇮14557","layer":1},{"info":"⊺⇮2468844↼⊘⨖⊺⇮14557=⊺⇮28892","layer":0}]}
{"id":739,"expression_no_base_symbol":"(↨⩢⫨($3466$⫑)⨔⇊(⪲⇎$1561$))⪄($2481$⇣⩺⋵$4626$⫢⨠($2379$⇯⋐))⨸($4843$→⨶⪴$5834$)⨑⩅≇($3994$∳⫺$1283$)","expression":"(↨⩢⫨(⊺⇮3466⫑)⨔⇊(⪲⇎⊺⇮1561))⪄(⊺⇮2481⇣⩺⋵⊺⇮4626⫢⨠(⊺⇮2379⇯⋐))⨸(⊺⇮4843→⨶⪴⊺⇮5834)⨑⩅≇(⊺⇮3994∳⫺⊺⇮1283)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":807,"operation_count":12,"complexity_ratio":67.25,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":3466,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1561,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2481,"base":10},"right_expr":{"type":"numeric_atoms","value":4626,"base":10}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2379,"base":10}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4843,"base":10},"right_expr":{"type":"numeric_atoms","value":5834,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3994,"base":10},"right_expr":{"type":"numeric_atoms","value":1283,"base":10}}}}},"used_operators":["SUmda5xLS4","Z5CJsN7DuW","JclMnS0uGI","CgIo77xlM2","XPYlsWDdGa","KmoU8R5UQR","xlXykHWxX1","F4yD0voBRQ","LkLIoiE525","h92wMvzauj","bF6eod5Gvf","AzXXKTstlj"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","8w2t5hMYqp","9FxExcQeMw","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⊺⇮2631","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3466","layer":4},{"info":"compute unary expreesion, input=3466, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3122","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=3122, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3122","layer":2},{"info":"compute unary expreesion, input=3122, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=2481","layer":4},{"info":"number node, value=4626","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=4626, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=2379","layer":4},{"info":"compute unary expreesion, input=2379, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=8015","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=8015, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=4843","layer":4},{"info":"number node, value=5834","layer":4},{"info":"compute binary expreesion, left_input=4843, right_input=5834, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-17502","layer":3},{"info":"number node, value=3994","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=3994, right_input=1283, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-17502, right_input=-260, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-55, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=320","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=320, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=2631","layer":0}],"base":10,"result_base":10,"text":"(↨⩢⫨(⊺⇮3466⫑)⨔⇊(⪲⇎⊺⇮1561))⪄(⊺⇮2481⇣⩺⋵⊺⇮4626⫢⨠(⊺⇮2379⇯⋐))⨸(⊺⇮4843→⨶⪴⊺⇮5834)⨑⩅≇(⊺⇮3994∳⫺⊺⇮1283)=⊺⇮2631","reverse_text":"⊺⇮2631=(↨⩢⫨(⊺⇮3466⫑)⨔⇊(⪲⇎⊺⇮1561))⪄(⊺⇮2481⇣⩺⋵⊺⇮4626⫢⨠(⊺⇮2379⇯⋐))⨸(⊺⇮4843→⨶⪴⊺⇮5834)⨑⩅≇(⊺⇮3994∳⫺⊺⇮1283)","cot":[{"info":"⊺⇮3466⫑=⊺⇮3979","layer":3},{"info":"⪲⇎⊺⇮1561=⊺⇮3122","layer":3},{"info":"⊺⇮3979⨔⇊⊺⇮3122=⊺⇮3122","layer":2},{"info":"↨⩢⫨⊺⇮3122=⊺⇮0","layer":1},{"info":"⊺⇮2481⇣⩺⋵⊺⇮4626=⊺⇮-260","layer":3},{"info":"⊺⇮2379⇯⋐=⊺⇮8015","layer":3},{"info":"⊺⇮-260⫢⨠⊺⇮8015=⊺⇮160","layer":2},{"info":"⊺⇮4843→⨶⪴⊺⇮5834=⊺⇮-17502","layer":3},{"info":"⊺⇮3994∳⫺⊺⇮1283=⊺⇮-260","layer":3},{"info":"⊺⇮-17502⨑⩅≇⊺⇮-260=⊺⇮-55","layer":2},{"info":"⊺⇮160⨸⊺⇮-55=⊺⇮320","layer":1},{"info":"⊺⇮0⪄⊺⇮320=⊺⇮2631","layer":0}]}
{"id":740,"expression_no_base_symbol":"(↓⇌(⪛⨧(≱⇩⩕$1515$)))⊭↱(⇈(($4987$%$8284$)⊔(≑⋹$6881$)))","expression":"(↓⇌(⪛⨧(≱⇩⩕⊺⇮1515)))⊭↱(⇈((⊺⇮4987%⊺⇮8284)⊔(≑⋹⊺⇮6881)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1181,"operation_count":8,"complexity_ratio":147.625,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1515,"base":10}}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4987,"base":10},"right_expr":{"type":"numeric_atoms","value":8284,"base":10}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":6881,"base":10}}}}},"used_operators":["COABgblf1C","PxpmPgHHJV","6NJAcO2OWT","3DZMoQKiUl","SLLxy00UIr","E4l6HwMY31","k8jYdgA6NY","6B9nyZLogK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"⊺⇮-4143","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":4},{"info":"compute unary expreesion, input=1515, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1627","layer":2},{"info":"compute unary expreesion, input=1627, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1627","layer":1},{"info":"number node, value=4987","layer":4},{"info":"number node, value=8284","layer":4},{"info":"compute binary expreesion, left_input=4987, right_input=8284, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4987","layer":3},{"info":"number node, value=6881","layer":4},{"info":"compute unary expreesion, input=6881, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=4987, right_input=1650, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=15824","layer":2},{"info":"compute unary expreesion, input=15824, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=1627, right_input=-447, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4143","layer":0}],"base":10,"result_base":10,"text":"(↓⇌(⪛⨧(≱⇩⩕⊺⇮1515)))⊭↱(⇈((⊺⇮4987%⊺⇮8284)⊔(≑⋹⊺⇮6881)))=⊺⇮-4143","reverse_text":"⊺⇮-4143=(↓⇌(⪛⨧(≱⇩⩕⊺⇮1515)))⊭↱(⇈((⊺⇮4987%⊺⇮8284)⊔(≑⋹⊺⇮6881)))","cot":[{"info":"≱⇩⩕⊺⇮1515=⊺⇮113","layer":3},{"info":"⪛⨧⊺⇮113=⊺⇮1627","layer":2},{"info":"↓⇌⊺⇮1627=⊺⇮1627","layer":1},{"info":"⊺⇮4987%⊺⇮8284=⊺⇮4987","layer":3},{"info":"≑⋹⊺⇮6881=⊺⇮1650","layer":3},{"info":"⊺⇮4987⊔⊺⇮1650=⊺⇮15824","layer":2},{"info":"⇈⊺⇮15824=⊺⇮-447","layer":1},{"info":"⊺⇮1627⊭↱⊺⇮-447=⊺⇮-4143","layer":0}]}
{"id":741,"expression_no_base_symbol":"($2102$∠⫱$2930$)∳⫺$1384$⪬$1209$⩖⊿($2912$⊬⨰$2765$∽$1248$↓$7155$)⪹","expression":"(⊺⇮2102∠⫱⊺⇮2930)∳⫺⊺⇮1384⪬⊺⇮1209⩖⊿(⊺⇮2912⊬⨰⊺⇮2765∽⊺⇮1248↓⊺⇮7155)⪹","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":101156,"operation_count":8,"complexity_ratio":12644.5,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2102,"base":10},"right_expr":{"type":"numeric_atoms","value":2930,"base":10}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1384,"base":10},"right_expr":{"type":"numeric_atoms","value":1209,"base":10}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2912,"base":10},"right_expr":{"type":"numeric_atoms","value":2765,"base":10}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1248,"base":10},"right_expr":{"type":"numeric_atoms","value":7155,"base":10}}}}},"used_operators":["B3sABdIn96","RZ5CV9rWsJ","AzXXKTstlj","QvoQhV0rrE","Ez1Nq5fNfI","y4ImoPnbV5","s3Fd5m9Dh2","Af076pWI7l"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⊺⇮264320","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2102","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=2930, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1384","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1209, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1234, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=2912","layer":4},{"info":"number node, value=2765","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=2765, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12916","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=7155","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=7155, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=12916, right_input=-134, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-64000","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-64000, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=129914","layer":1},{"info":"compute unary expreesion, input=129914, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=264320","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2102∠⫱⊺⇮2930)∳⫺⊺⇮1384⪬⊺⇮1209⩖⊿(⊺⇮2912⊬⨰⊺⇮2765∽⊺⇮1248↓⊺⇮7155)⪹=⊺⇮264320","reverse_text":"⊺⇮264320=(⊺⇮2102∠⫱⊺⇮2930)∳⫺⊺⇮1384⪬⊺⇮1209⩖⊿(⊺⇮2912⊬⨰⊺⇮2765∽⊺⇮1248↓⊺⇮7155)⪹","cot":[{"info":"⊺⇮2102∠⫱⊺⇮2930=⊺⇮1234","layer":3},{"info":"⊺⇮1384⪬⊺⇮1209=⊺⇮1234","layer":3},{"info":"⊺⇮1234∳⫺⊺⇮1234=⊺⇮-260","layer":2},{"info":"⊺⇮2912⊬⨰⊺⇮2765=⊺⇮12916","layer":3},{"info":"⊺⇮1248↓⊺⇮7155=⊺⇮-134","layer":3},{"info":"⊺⇮12916∽⊺⇮-134=⊺⇮-64000","layer":2},{"info":"⊺⇮-260⩖⊿⊺⇮-64000=⊺⇮129914","layer":1},{"info":"⊺⇮129914⪹=⊺⇮264320","layer":0}]}
{"id":742,"expression_no_base_symbol":"(⨡↴($2001$↸$2335$)⩚⊴⇥$6307$⩣⫁∢$1005$)∕⩚(≀↧⇸($1002$∕⩚$8506$))≬⋮(⇨($2666$≬⋮$5714$))","expression":"(⨡↴(⊺⇮2001↸⊺⇮2335)⩚⊴⇥⊺⇮6307⩣⫁∢⊺⇮1005)∕⩚(≀↧⇸(⊺⇮1002∕⩚⊺⇮8506))≬⋮(⇨(⊺⇮2666≬⋮⊺⇮5714))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14472,"operation_count":10,"complexity_ratio":1447.2,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2001,"base":10},"right_expr":{"type":"numeric_atoms","value":2335,"base":10}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6307,"base":10},"right_expr":{"type":"numeric_atoms","value":1005,"base":10}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1002,"base":10},"right_expr":{"type":"numeric_atoms","value":8506,"base":10}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2666,"base":10},"right_expr":{"type":"numeric_atoms","value":5714,"base":10}}}}},"used_operators":["z9ffQ9n5Zr","liw5iZPkLH","NTOWxs364D","1eCjFl0mb9","JDUIKTTSIa","kbkesczE7y","ljTHtUsqzn","G9tJMlZ94a"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","XPYlsWDdGa","23Mk6UjR3U","k8jYdgA6NY"],"result":"⊺⇮-11383","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2001","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=2335, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2001","layer":3},{"info":"number node, value=6307","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=6307, right_input=1005, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-12453","layer":3},{"info":"compute binary expreesion, left_input=2001, right_input=-12453, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=10331","layer":2},{"info":"compute unary expreesion, input=10331, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=11380","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=8506","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=8506, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1005","layer":3},{"info":"compute unary expreesion, input=-1005, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=4020","layer":2},{"info":"number node, value=2666","layer":4},{"info":"number node, value=5714","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=5714, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4020, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=11380, right_input=868, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-11383","layer":0}],"base":10,"result_base":10,"text":"(⨡↴(⊺⇮2001↸⊺⇮2335)⩚⊴⇥⊺⇮6307⩣⫁∢⊺⇮1005)∕⩚(≀↧⇸(⊺⇮1002∕⩚⊺⇮8506))≬⋮(⇨(⊺⇮2666≬⋮⊺⇮5714))=⊺⇮-11383","reverse_text":"⊺⇮-11383=(⨡↴(⊺⇮2001↸⊺⇮2335)⩚⊴⇥⊺⇮6307⩣⫁∢⊺⇮1005)∕⩚(≀↧⇸(⊺⇮1002∕⩚⊺⇮8506))≬⋮(⇨(⊺⇮2666≬⋮⊺⇮5714))","cot":[{"info":"⊺⇮2001↸⊺⇮2335=⊺⇮2001","layer":3},{"info":"⊺⇮6307⩣⫁∢⊺⇮1005=⊺⇮-12453","layer":3},{"info":"⊺⇮2001⩚⊴⇥⊺⇮-12453=⊺⇮10331","layer":2},{"info":"⨡↴⊺⇮10331=⊺⇮11380","layer":1},{"info":"⊺⇮1002∕⩚⊺⇮8506=⊺⇮-1005","layer":3},{"info":"≀↧⇸⊺⇮-1005=⊺⇮4020","layer":2},{"info":"⊺⇮2666≬⋮⊺⇮5714=⊺⇮868","layer":3},{"info":"⇨⊺⇮868=⊺⇮0","layer":2},{"info":"⊺⇮4020≬⋮⊺⇮0=⊺⇮868","layer":1},{"info":"⊺⇮11380∕⩚⊺⇮868=⊺⇮-11383","layer":0}]}
{"id":743,"expression_no_base_symbol":"($6731$⊅)⩼⇪↪($2634$⋣⋖$2478$)⊔($1180$⊝)⫞⩸⩒(⩦⊞$2212$)⋝⋈⪟($4734$⪘⫢$6442$⊹∫⫚(↯⪼$1148$)≀⩗∶(($5427$⫸⇳$5201$)⩘))","expression":"(⊺⇮6731⊅)⩼⇪↪(⊺⇮2634⋣⋖⊺⇮2478)⊔(⊺⇮1180⊝)⫞⩸⩒(⩦⊞⊺⇮2212)⋝⋈⪟(⊺⇮4734⪘⫢⊺⇮6442⊹∫⫚(↯⪼⊺⇮1148)≀⩗∶((⊺⇮5427⫸⇳⊺⇮5201)⩘))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":284,"operation_count":14,"complexity_ratio":20.285714285714285,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":6731,"base":10}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2634,"base":10},"right_expr":{"type":"numeric_atoms","value":2478,"base":10}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1180,"base":10}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2212,"base":10}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4734,"base":10},"right_expr":{"type":"numeric_atoms","value":6442,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1148,"base":10}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5427,"base":10},"right_expr":{"type":"numeric_atoms","value":5201,"base":10}}}}},"used_operators":["2DDjHMKMc0","E4l6HwMY31","ocnLzx9CaJ","7p6YLioM7f","J0M6qkBnIM","XGcMNugi78","O6EZ0fifGK","u7fv1HBiaC","8INZBEW696","uWAJUKEvyW","oacrs7FA3X","8jW3W4yZS5","wvHyciQT5X","gx7XJ7hdpj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9ICcGScMcE","dfKe02y8D2","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⊺⇮80106","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6731","layer":4},{"info":"compute unary expreesion, input=6731, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=2634","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=2634, right_input=2478, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2634","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=2634, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-19569","layer":2},{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1180","layer":3},{"info":"number node, value=2212","layer":4},{"info":"compute unary expreesion, input=2212, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1939","layer":3},{"info":"compute binary expreesion, left_input=1180, right_input=-1939, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1180","layer":2},{"info":"compute binary expreesion, left_input=-19569, right_input=1180, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=80106","layer":1},{"info":"number node, value=4734","layer":4},{"info":"number node, value=6442","layer":4},{"info":"compute binary expreesion, left_input=4734, right_input=6442, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9344","layer":3},{"info":"number node, value=1148","layer":4},{"info":"compute unary expreesion, input=1148, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=9344, right_input=-21, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-84","layer":2},{"info":"number node, value=5427","layer":4},{"info":"number node, value=5201","layer":4},{"info":"compute binary expreesion, left_input=5427, right_input=5201, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-84, right_input=67, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":1},{"info":"compute binary expreesion, left_input=80106, right_input=3, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=80106","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6731⊅)⩼⇪↪(⊺⇮2634⋣⋖⊺⇮2478)⊔(⊺⇮1180⊝)⫞⩸⩒(⩦⊞⊺⇮2212)⋝⋈⪟(⊺⇮4734⪘⫢⊺⇮6442⊹∫⫚(↯⪼⊺⇮1148)≀⩗∶((⊺⇮5427⫸⇳⊺⇮5201)⩘))=⊺⇮80106","reverse_text":"⊺⇮80106=(⊺⇮6731⊅)⩼⇪↪(⊺⇮2634⋣⋖⊺⇮2478)⊔(⊺⇮1180⊝)⫞⩸⩒(⩦⊞⊺⇮2212)⋝⋈⪟(⊺⇮4734⪘⫢⊺⇮6442⊹∫⫚(↯⪼⊺⇮1148)≀⩗∶((⊺⇮5427⫸⇳⊺⇮5201)⩘))","cot":[{"info":"⊺⇮6731⊅=⊺⇮-174","layer":3},{"info":"⊺⇮2634⋣⋖⊺⇮2478=⊺⇮2634","layer":3},{"info":"⊺⇮-174⩼⇪↪⊺⇮2634=⊺⇮-19569","layer":2},{"info":"⊺⇮1180⊝=⊺⇮1180","layer":3},{"info":"⩦⊞⊺⇮2212=⊺⇮-1939","layer":3},{"info":"⊺⇮1180⫞⩸⩒⊺⇮-1939=⊺⇮1180","layer":2},{"info":"⊺⇮-19569⊔⊺⇮1180=⊺⇮80106","layer":1},{"info":"⊺⇮4734⪘⫢⊺⇮6442=⊺⇮9344","layer":3},{"info":"↯⪼⊺⇮1148=⊺⇮-21","layer":3},{"info":"⊺⇮9344⊹∫⫚⊺⇮-21=⊺⇮-84","layer":2},{"info":"⊺⇮5427⫸⇳⊺⇮5201=⊺⇮0","layer":3},{"info":"⊺⇮0⩘=⊺⇮67","layer":2},{"info":"⊺⇮-84≀⩗∶⊺⇮67=⊺⇮3","layer":1},{"info":"⊺⇮80106⋝⋈⪟⊺⇮3=⊺⇮80106","layer":0}]}
{"id":744,"expression_no_base_symbol":"($7001$⪎↠$1804$⨫⇇↔$3147$⫁⪎$2495$⫳≱↱($2416$⪎⩰)⪪(⊑$8269$))↬((($1749$∟)∽($1176$+$3870$))⫍⨯↯)","expression":"(⊺⇮7001⪎↠⊺⇮1804⨫⇇↔⊺⇮3147⫁⪎⊺⇮2495⫳≱↱(⊺⇮2416⪎⩰)⪪(⊑⊺⇮8269))↬(((⊺⇮1749∟)∽(⊺⇮1176+⊺⇮3870))⫍⨯↯)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":768,"operation_count":12,"complexity_ratio":64.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":7001,"base":10},"right_expr":{"type":"numeric_atoms","value":1804,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3147,"base":10},"right_expr":{"type":"numeric_atoms","value":2495,"base":10}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":2416,"base":10}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":8269,"base":10}}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":1749,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1176,"base":10},"right_expr":{"type":"numeric_atoms","value":3870,"base":10}}}}},"used_operators":["B5M0gjZbta","ZvLB05nZmT","LXhwmt4mBO","3tVxb0NHM4","xRrnTEsQ6j","xD69zh8xqp","2ufhKmSs5H","IkUmn0D7oy","ZcwmYACASQ","y4ImoPnbV5","hTbEZDJLEm","W4YGzv6Whe"],"dependent_operators":["rGHVDoGpnC","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","NTOWxs364D","QMFrweE19q","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7001","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=7001, right_input=1804, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=3147","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=2495, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=652","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=652, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=2416","layer":4},{"info":"compute unary expreesion, input=2416, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"number node, value=8269","layer":4},{"info":"compute unary expreesion, input=8269, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-34, right_input=192, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=3945","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=3945, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":1},{"info":"number node, value=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=1176","layer":4},{"info":"number node, value=3870","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=3870, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5046","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=5046, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-15525","layer":2},{"info":"compute unary expreesion, input=-15525, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-2802, right_input=-134, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮7001⪎↠⊺⇮1804⨫⇇↔⊺⇮3147⫁⪎⊺⇮2495⫳≱↱(⊺⇮2416⪎⩰)⪪(⊑⊺⇮8269))↬(((⊺⇮1749∟)∽(⊺⇮1176+⊺⇮3870))⫍⨯↯)=NaN","reverse_text":"NaN=(⊺⇮7001⪎↠⊺⇮1804⨫⇇↔⊺⇮3147⫁⪎⊺⇮2495⫳≱↱(⊺⇮2416⪎⩰)⪪(⊑⊺⇮8269))↬(((⊺⇮1749∟)∽(⊺⇮1176+⊺⇮3870))⫍⨯↯)","cot":[{"info":"⊺⇮7001⪎↠⊺⇮1804=⊺⇮160","layer":3},{"info":"⊺⇮3147⫁⪎⊺⇮2495=⊺⇮652","layer":3},{"info":"⊺⇮160⨫⇇↔⊺⇮652=⊺⇮-527","layer":2},{"info":"⊺⇮2416⪎⩰=⊺⇮-34","layer":3},{"info":"⊑⊺⇮8269=⊺⇮192","layer":3},{"info":"⊺⇮-34⪪⊺⇮192=⊺⇮3945","layer":2},{"info":"⊺⇮-527⫳≱↱⊺⇮3945=⊺⇮-2802","layer":1},{"info":"⊺⇮1749∟=⊺⇮113","layer":3},{"info":"⊺⇮1176+⊺⇮3870=⊺⇮5046","layer":3},{"info":"⊺⇮113∽⊺⇮5046=⊺⇮-15525","layer":2},{"info":"⊺⇮-15525⫍⨯↯=⊺⇮-134","layer":1},{"info":"⊺⇮-2802↬⊺⇮-134=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"((⊥(⇨$1706$))≧⫂∧((⋃$1427$)⫡⨏$3789$∲⫓$2035$))↤⩊((($3005$∲⫓$2938$)⊨$4771$≁$2910$)⋣⋖($1081$⊋$1043$↼⊘⨖($2698$⨻⩈⩔$3198$)))","expression":"((⊥(⇨⊺⇮1706))≧⫂∧((⋃⊺⇮1427)⫡⨏⊺⇮3789∲⫓⊺⇮2035))↤⩊(((⊺⇮3005∲⫓⊺⇮2938)⊨⊺⇮4771≁⊺⇮2910)⋣⋖(⊺⇮1081⊋⊺⇮1043↼⊘⨖(⊺⇮2698⨻⩈⩔⊺⇮3198)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":568,"operation_count":14,"complexity_ratio":40.57142857142857,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1706,"base":10}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1427,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3789,"base":10},"right_expr":{"type":"numeric_atoms","value":2035,"base":10}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3005,"base":10},"right_expr":{"type":"numeric_atoms","value":2938,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4771,"base":10},"right_expr":{"type":"numeric_atoms","value":2910,"base":10}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1081,"base":10},"right_expr":{"type":"numeric_atoms","value":1043,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2698,"base":10},"right_expr":{"type":"numeric_atoms","value":3198,"base":10}}}}},"used_operators":["13rbtpv6ld","Ph9nP6C5qx","Q3PJZHRvZv","G9tJMlZ94a","QMFrweE19q","3mBM5G4a3l","i8ToyICDmI","J0M6qkBnIM","vg4gO5BX6G","8N2wDY1A35","bPywburJMS","W4tP9CfskL","nEsXyWgiOK"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1706","layer":4},{"info":"compute unary expreesion, input=1706, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2956","layer":3},{"info":"number node, value=3789","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=2035, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2956, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15563","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=15563, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=15090","layer":1},{"info":"number node, value=3005","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=3005, right_input=2938, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4771","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=4771, right_input=2910, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=56639","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=56639, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1043, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=592900","layer":3},{"info":"number node, value=2698","layer":4},{"info":"number node, value=3198","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=3198, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=13183","layer":3},{"info":"compute binary expreesion, left_input=592900, right_input=13183, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=26144","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=26144, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=15090, right_input=-174, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊥(⇨⊺⇮1706))≧⫂∧((⋃⊺⇮1427)⫡⨏⊺⇮3789∲⫓⊺⇮2035))↤⩊(((⊺⇮3005∲⫓⊺⇮2938)⊨⊺⇮4771≁⊺⇮2910)⋣⋖(⊺⇮1081⊋⊺⇮1043↼⊘⨖(⊺⇮2698⨻⩈⩔⊺⇮3198)))=NaN","reverse_text":"NaN=((⊥(⇨⊺⇮1706))≧⫂∧((⋃⊺⇮1427)⫡⨏⊺⇮3789∲⫓⊺⇮2035))↤⩊(((⊺⇮3005∲⫓⊺⇮2938)⊨⊺⇮4771≁⊺⇮2910)⋣⋖(⊺⇮1081⊋⊺⇮1043↼⊘⨖(⊺⇮2698⨻⩈⩔⊺⇮3198)))","cot":[{"info":"⇨⊺⇮1706=⊺⇮0","layer":3},{"info":"⊥⊺⇮0=⊺⇮0","layer":2},{"info":"⋃⊺⇮1427=⊺⇮2956","layer":3},{"info":"⊺⇮3789∲⫓⊺⇮2035=⊺⇮0","layer":3},{"info":"⊺⇮2956⫡⨏⊺⇮0=⊺⇮15563","layer":2},{"info":"⊺⇮0≧⫂∧⊺⇮15563=⊺⇮15090","layer":1},{"info":"⊺⇮3005∲⫓⊺⇮2938=⊺⇮0","layer":3},{"info":"⊺⇮4771≁⊺⇮2910=⊺⇮56639","layer":3},{"info":"⊺⇮0⊨⊺⇮56639=⊺⇮-174","layer":2},{"info":"⊺⇮1081⊋⊺⇮1043=⊺⇮592900","layer":3},{"info":"⊺⇮2698⨻⩈⩔⊺⇮3198=⊺⇮13183","layer":3},{"info":"⊺⇮592900↼⊘⨖⊺⇮13183=⊺⇮26144","layer":2},{"info":"⊺⇮-174⋣⋖⊺⇮26144=⊺⇮-174","layer":1},{"info":"⊺⇮15090↤⩊⊺⇮-174=NaN","layer":0}]}
{"id":746,"expression_no_base_symbol":"(($3948$⩘)⪎↠($3097$⩺⪪$7014$)⪄(⨈⪑($2922$⫔⩽⩺$2692$)))∼(⇾⩊⇾(⇁⨣⪵$3543$⋛$1108$))","expression":"((⊺⇮3948⩘)⪎↠(⊺⇮3097⩺⪪⊺⇮7014)⪄(⨈⪑(⊺⇮2922⫔⩽⩺⊺⇮2692)))∼(⇾⩊⇾(⇁⨣⪵⊺⇮3543⋛⊺⇮1108))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":649,"operation_count":10,"complexity_ratio":64.9,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":3948,"base":10}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3097,"base":10},"right_expr":{"type":"numeric_atoms","value":7014,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2922,"base":10},"right_expr":{"type":"numeric_atoms","value":2692,"base":10}}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3543,"base":10},"right_expr":{"type":"numeric_atoms","value":1108,"base":10}}}}},"used_operators":["DyGG3AbaNP","SUmda5xLS4","3tVxb0NHM4","wvHyciQT5X","uvdQJvN4PV","mp94q5OcYM","i9eR4S00cU","bx9Z9DAK5y","inkyxCbjAn","YbUVn0Rbpy"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9ICcGScMcE","dfKe02y8D2","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","B5M0gjZbta","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3948","layer":4},{"info":"compute unary expreesion, input=3948, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=3097","layer":4},{"info":"number node, value=7014","layer":4},{"info":"compute binary expreesion, left_input=3097, right_input=7014, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-1818, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=935","layer":2},{"info":"number node, value=2922","layer":4},{"info":"number node, value=2692","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=2692, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"number node, value=3543","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=3543, right_input=1108, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-100305","layer":3},{"info":"compute unary expreesion, input=-100305, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3948⩘)⪎↠(⊺⇮3097⩺⪪⊺⇮7014)⪄(⨈⪑(⊺⇮2922⫔⩽⩺⊺⇮2692)))∼(⇾⩊⇾(⇁⨣⪵⊺⇮3543⋛⊺⇮1108))=NaN","reverse_text":"NaN=((⊺⇮3948⩘)⪎↠(⊺⇮3097⩺⪪⊺⇮7014)⪄(⨈⪑(⊺⇮2922⫔⩽⩺⊺⇮2692)))∼(⇾⩊⇾(⇁⨣⪵⊺⇮3543⋛⊺⇮1108))","cot":[{"info":"⊺⇮3948⩘=⊺⇮67","layer":3},{"info":"⊺⇮3097⩺⪪⊺⇮7014=⊺⇮-1818","layer":3},{"info":"⊺⇮67⪎↠⊺⇮-1818=⊺⇮935","layer":2},{"info":"⊺⇮2922⫔⩽⩺⊺⇮2692=NaN","layer":3},{"info":"⨈⪑NaN=NaN","layer":2},{"info":"⊺⇮935⪄NaN=NaN","layer":1},{"info":"⊺⇮3543⋛⊺⇮1108=⊺⇮-100305","layer":3},{"info":"⇁⨣⪵⊺⇮-100305=NaN","layer":2},{"info":"⇾⩊⇾NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"⊑(↔((⩦⩻⨪$8542$)⫦⪉$1169$⩼⇪↪$2992$))","expression":"⊑(↔((⩦⩻⨪⊺⇮8542)⫦⪉⊺⇮1169⩼⇪↪⊺⇮2992))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":469,"operation_count":5,"complexity_ratio":93.8,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":8542,"base":10}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1169,"base":10},"right_expr":{"type":"numeric_atoms","value":2992,"base":10}}}}},"used_operators":["IkUmn0D7oy","ruOEQAzv1W","wscyQdcy20","2td37pGCOC","ocnLzx9CaJ"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⊺⇮192","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8542","layer":4},{"info":"compute unary expreesion, input=8542, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8542","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=2992, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-19389","layer":3},{"info":"compute binary expreesion, left_input=8542, right_input=-19389, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-12184","layer":2},{"info":"compute unary expreesion, input=-12184, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":10,"result_base":10,"text":"⊑(↔((⩦⩻⨪⊺⇮8542)⫦⪉⊺⇮1169⩼⇪↪⊺⇮2992))=⊺⇮192","reverse_text":"⊺⇮192=⊑(↔((⩦⩻⨪⊺⇮8542)⫦⪉⊺⇮1169⩼⇪↪⊺⇮2992))","cot":[{"info":"⩦⩻⨪⊺⇮8542=⊺⇮8542","layer":3},{"info":"⊺⇮1169⩼⇪↪⊺⇮2992=⊺⇮-19389","layer":3},{"info":"⊺⇮8542⫦⪉⊺⇮-19389=⊺⇮-12184","layer":2},{"info":"↔⊺⇮-12184=⊺⇮-134","layer":1},{"info":"⊑⊺⇮-134=⊺⇮192","layer":0}]}
{"id":748,"expression_no_base_symbol":"((⨩∲⋌$1039$)≦↸($2740$⇮⋭$5602$)⋥⋵⩄((⇨$4354$)⫘$1826$⇂≾⫗$1082$))⩦((⪸($1431$⇯⋐))∽($4924$⊱⇼⊻$4206$∽(⊄⩳↩$2187$)))","expression":"((⨩∲⋌⊺⇮1039)≦↸(⊺⇮2740⇮⋭⊺⇮5602)⋥⋵⩄((⇨⊺⇮4354)⫘⊺⇮1826⇂≾⫗⊺⇮1082))⩦((⪸(⊺⇮1431⇯⋐))∽(⊺⇮4924⊱⇼⊻⊺⇮4206∽(⊄⩳↩⊺⇮2187)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":332,"operation_count":14,"complexity_ratio":23.714285714285715,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1039,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2740,"base":10},"right_expr":{"type":"numeric_atoms","value":5602,"base":10}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4354,"base":10}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1826,"base":10},"right_expr":{"type":"numeric_atoms","value":1082,"base":10}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1431,"base":10}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4924,"base":10},"right_expr":{"type":"numeric_atoms","value":4206,"base":10}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2187,"base":10}}}}},"used_operators":["0kmYd0q39Y","7t3wd0Fuz7","RygbFNSyEJ","aSik1wnThz","vkpjKywKVM","48vC8HMD2b","G9tJMlZ94a","aBQ6xLxuTc","y4ImoPnbV5","86A5ENbKR9","LkLIoiE525","FyVja0WsTP","8w2t5hMYqp"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","k8jYdgA6NY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"compute unary expreesion, input=1039, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1562","layer":3},{"info":"number node, value=2740","layer":4},{"info":"number node, value=5602","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=5602, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-1562, right_input=-473, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=2243","layer":2},{"info":"number node, value=4354","layer":4},{"info":"compute unary expreesion, input=4354, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=1826","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=1082, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-676, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2243, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"number node, value=1431","layer":4},{"info":"compute unary expreesion, input=1431, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=5171","layer":3},{"info":"compute unary expreesion, input=5171, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-87698","layer":2},{"info":"number node, value=4924","layer":4},{"info":"number node, value=4206","layer":4},{"info":"compute binary expreesion, left_input=4924, right_input=4206, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=2187","layer":4},{"info":"compute unary expreesion, input=2187, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6561","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-6561, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=17691","layer":2},{"info":"compute binary expreesion, left_input=-87698, right_input=17691, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=385595","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=385595, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⨩∲⋌⊺⇮1039)≦↸(⊺⇮2740⇮⋭⊺⇮5602)⋥⋵⩄((⇨⊺⇮4354)⫘⊺⇮1826⇂≾⫗⊺⇮1082))⩦((⪸(⊺⇮1431⇯⋐))∽(⊺⇮4924⊱⇼⊻⊺⇮4206∽(⊄⩳↩⊺⇮2187)))=NaN","reverse_text":"NaN=((⨩∲⋌⊺⇮1039)≦↸(⊺⇮2740⇮⋭⊺⇮5602)⋥⋵⩄((⇨⊺⇮4354)⫘⊺⇮1826⇂≾⫗⊺⇮1082))⩦((⪸(⊺⇮1431⇯⋐))∽(⊺⇮4924⊱⇼⊻⊺⇮4206∽(⊄⩳↩⊺⇮2187)))","cot":[{"info":"⨩∲⋌⊺⇮1039=⊺⇮-1562","layer":3},{"info":"⊺⇮2740⇮⋭⊺⇮5602=⊺⇮-473","layer":3},{"info":"⊺⇮-1562≦↸⊺⇮-473=⊺⇮2243","layer":2},{"info":"⇨⊺⇮4354=⊺⇮0","layer":3},{"info":"⊺⇮1826⇂≾⫗⊺⇮1082=⊺⇮-676","layer":3},{"info":"⊺⇮0⫘⊺⇮-676=NaN","layer":2},{"info":"⊺⇮2243⋥⋵⩄NaN=NaN","layer":1},{"info":"⊺⇮1431⇯⋐=⊺⇮5171","layer":3},{"info":"⪸⊺⇮5171=⊺⇮-87698","layer":2},{"info":"⊺⇮4924⊱⇼⊻⊺⇮4206=⊺⇮434","layer":3},{"info":"⊄⩳↩⊺⇮2187=⊺⇮-6561","layer":3},{"info":"⊺⇮434∽⊺⇮-6561=⊺⇮17691","layer":2},{"info":"⊺⇮-87698∽⊺⇮17691=⊺⇮385595","layer":1},{"info":"NaN⩦⊺⇮385595=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"(($4708$⨜⨶$1127$)↤⩊(⨰⫟⨤$1934$)≧⫂∧(⇺⋃($3342$∠↢$2457$)))⨟⋌⩍((∓⪦$6832$)⫢⨠$6221$⪟⇏$3002$⫦⪉($4960$⇍⊗$1376$)≝⊿($2278$⫌⩉⩟$3637$))","expression":"((⊺⇮4708⨜⨶⊺⇮1127)↤⩊(⨰⫟⨤⊺⇮1934)≧⫂∧(⇺⋃(⊺⇮3342∠↢⊺⇮2457)))⨟⋌⩍((∓⪦⊺⇮6832)⫢⨠⊺⇮6221⪟⇏⊺⇮3002⫦⪉(⊺⇮4960⇍⊗⊺⇮1376)≝⊿(⊺⇮2278⫌⩉⩟⊺⇮3637))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":34270,"operation_count":14,"complexity_ratio":2447.8571428571427,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4708,"base":10},"right_expr":{"type":"numeric_atoms","value":1127,"base":10}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1934,"base":10}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3342,"base":10},"right_expr":{"type":"numeric_atoms","value":2457,"base":10}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":6832,"base":10}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6221,"base":10},"right_expr":{"type":"numeric_atoms","value":3002,"base":10}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":4960,"base":10},"right_expr":{"type":"numeric_atoms","value":1376,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2278,"base":10},"right_expr":{"type":"numeric_atoms","value":3637,"base":10}}}}},"used_operators":["rGHVDoGpnC","Ph9nP6C5qx","13rbtpv6ld","HiPekx5b7W","Tw270M8GLb","E5v5B3UAjG","KbjG8mgYpV","wscyQdcy20","xlXykHWxX1","D309nIvmXG","GODebY97qR","OKKcZfAt5B","5uvYHDjeKN","XIIwhv8d0m"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","12rbrZMWeM","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4708","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=4708, right_input=1127, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1998","layer":3},{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1998, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=3342","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=2457, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-46684","layer":3},{"info":"compute unary expreesion, input=-46684, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=6832","layer":4},{"info":"compute unary expreesion, input=6832, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=6424","layer":3},{"info":"number node, value=6221","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=6221, right_input=3002, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=6424, right_input=-1, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=4960","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=4960, right_input=1376, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2278","layer":4},{"info":"number node, value=3637","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=3637, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-50, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-189","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-189, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4580","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4580, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4708⨜⨶⊺⇮1127)↤⩊(⨰⫟⨤⊺⇮1934)≧⫂∧(⇺⋃(⊺⇮3342∠↢⊺⇮2457)))⨟⋌⩍((∓⪦⊺⇮6832)⫢⨠⊺⇮6221⪟⇏⊺⇮3002⫦⪉(⊺⇮4960⇍⊗⊺⇮1376)≝⊿(⊺⇮2278⫌⩉⩟⊺⇮3637))=NaN","reverse_text":"NaN=((⊺⇮4708⨜⨶⊺⇮1127)↤⩊(⨰⫟⨤⊺⇮1934)≧⫂∧(⇺⋃(⊺⇮3342∠↢⊺⇮2457)))⨟⋌⩍((∓⪦⊺⇮6832)⫢⨠⊺⇮6221⪟⇏⊺⇮3002⫦⪉(⊺⇮4960⇍⊗⊺⇮1376)≝⊿(⊺⇮2278⫌⩉⩟⊺⇮3637))","cot":[{"info":"⊺⇮4708⨜⨶⊺⇮1127=⊺⇮-1998","layer":3},{"info":"⨰⫟⨤⊺⇮1934=NaN","layer":3},{"info":"⊺⇮-1998↤⩊NaN=NaN","layer":2},{"info":"⊺⇮3342∠↢⊺⇮2457=⊺⇮-46684","layer":3},{"info":"⇺⋃⊺⇮-46684=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"∓⪦⊺⇮6832=⊺⇮6424","layer":3},{"info":"⊺⇮6221⪟⇏⊺⇮3002=⊺⇮-1","layer":3},{"info":"⊺⇮6424⫢⨠⊺⇮-1=⊺⇮160","layer":2},{"info":"⊺⇮4960⇍⊗⊺⇮1376=⊺⇮-244","layer":3},{"info":"⊺⇮2278⫌⩉⩟⊺⇮3637=⊺⇮-50","layer":3},{"info":"⊺⇮-244≝⊿⊺⇮-50=⊺⇮-189","layer":2},{"info":"⊺⇮160⫦⪉⊺⇮-189=⊺⇮4580","layer":1},{"info":"NaN⨟⋌⩍⊺⇮4580=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"(($1660$⊬⨰$5031$≃$3630$⇂≾⫗$1407$)⨑⩅≇(($2394$⩒⫫$3271$)⫒⫫($2361$⇄$1145$)))⇻⋧≁((($1150$⩁)⇯⋐)→⨶⪴(($1161$≫≃)⪁(⇨$6829$)))","expression":"((⊺⇮1660⊬⨰⊺⇮5031≃⊺⇮3630⇂≾⫗⊺⇮1407)⨑⩅≇((⊺⇮2394⩒⫫⊺⇮3271)⫒⫫(⊺⇮2361⇄⊺⇮1145)))⇻⋧≁(((⊺⇮1150⩁)⇯⋐)→⨶⪴((⊺⇮1161≫≃)⪁(⇨⊺⇮6829)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8782,"operation_count":14,"complexity_ratio":627.2857142857143,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1660,"base":10},"right_expr":{"type":"numeric_atoms","value":5031,"base":10}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3630,"base":10},"right_expr":{"type":"numeric_atoms","value":1407,"base":10}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2394,"base":10},"right_expr":{"type":"numeric_atoms","value":3271,"base":10}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2361,"base":10},"right_expr":{"type":"numeric_atoms","value":1145,"base":10}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":1150,"base":10}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1161,"base":10}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":6829,"base":10}}}}},"used_operators":["jCPkEVoL5K","h92wMvzauj","YbVcJGFEVW","s3Fd5m9Dh2","aBQ6xLxuTc","6Ko8hGgeMq","KFSx94NKJn","3EYGwJThht","bF6eod5Gvf","LkLIoiE525","5GqDbVmqXU","I7sXao9hZE","X99M06cbEe","G9tJMlZ94a"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1660","layer":4},{"info":"number node, value=5031","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=5031, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=20728","layer":3},{"info":"number node, value=3630","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=1407, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=20728, right_input=-676, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=2664","layer":2},{"info":"number node, value=2394","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=3271, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2092","layer":3},{"info":"number node, value=2361","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=1145, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2092, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2664, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":1},{"info":"number node, value=1150","layer":4},{"info":"compute unary expreesion, input=1150, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-6420","layer":3},{"info":"compute unary expreesion, input=-6420, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=-5487","layer":2},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3723","layer":3},{"info":"number node, value=6829","layer":4},{"info":"compute unary expreesion, input=6829, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3723, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5487, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1660⊬⨰⊺⇮5031≃⊺⇮3630⇂≾⫗⊺⇮1407)⨑⩅≇((⊺⇮2394⩒⫫⊺⇮3271)⫒⫫(⊺⇮2361⇄⊺⇮1145)))⇻⋧≁(((⊺⇮1150⩁)⇯⋐)→⨶⪴((⊺⇮1161≫≃)⪁(⇨⊺⇮6829)))=NaN","reverse_text":"NaN=((⊺⇮1660⊬⨰⊺⇮5031≃⊺⇮3630⇂≾⫗⊺⇮1407)⨑⩅≇((⊺⇮2394⩒⫫⊺⇮3271)⫒⫫(⊺⇮2361⇄⊺⇮1145)))⇻⋧≁(((⊺⇮1150⩁)⇯⋐)→⨶⪴((⊺⇮1161≫≃)⪁(⇨⊺⇮6829)))","cot":[{"info":"⊺⇮1660⊬⨰⊺⇮5031=⊺⇮20728","layer":3},{"info":"⊺⇮3630⇂≾⫗⊺⇮1407=⊺⇮-676","layer":3},{"info":"⊺⇮20728≃⊺⇮-676=⊺⇮2664","layer":2},{"info":"⊺⇮2394⩒⫫⊺⇮3271=⊺⇮2092","layer":3},{"info":"⊺⇮2361⇄⊺⇮1145=⊺⇮0","layer":3},{"info":"⊺⇮2092⫒⫫⊺⇮0=NaN","layer":2},{"info":"⊺⇮2664⨑⩅≇NaN=NaN","layer":1},{"info":"⊺⇮1150⩁=⊺⇮-6420","layer":3},{"info":"⊺⇮-6420⇯⋐=⊺⇮-5487","layer":2},{"info":"⊺⇮1161≫≃=⊺⇮3723","layer":3},{"info":"⇨⊺⇮6829=⊺⇮0","layer":3},{"info":"⊺⇮3723⪁⊺⇮0=NaN","layer":2},{"info":"⊺⇮-5487→⨶⪴NaN=NaN","layer":1},{"info":"NaN⇻⋧≁NaN=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"($1328$+⪬∐$1064$⫰⋱($1418$⩹$1299$))∓⋝(($2630$⫡⨏$1488$)≳⇉$1001$⩣⫁∢$1205$)⩨(($3621$⩒⫫$2238$)⊢(⨑⩽⪐$1762$))⪝($2518$⪥$3452$⇴$1150$⨽∌$1870$)","expression":"(⊺⇮1328+⪬∐⊺⇮1064⫰⋱(⊺⇮1418⩹⊺⇮1299))∓⋝((⊺⇮2630⫡⨏⊺⇮1488)≳⇉⊺⇮1001⩣⫁∢⊺⇮1205)⩨((⊺⇮3621⩒⫫⊺⇮2238)⊢(⨑⩽⪐⊺⇮1762))⪝(⊺⇮2518⪥⊺⇮3452⇴⊺⇮1150⨽∌⊺⇮1870)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":49467673,"operation_count":15,"complexity_ratio":3297844.8666666667,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1328,"base":10},"right_expr":{"type":"numeric_atoms","value":1064,"base":10}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1418,"base":10},"right_expr":{"type":"numeric_atoms","value":1299,"base":10}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2630,"base":10},"right_expr":{"type":"numeric_atoms","value":1488,"base":10}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":1205,"base":10}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3621,"base":10},"right_expr":{"type":"numeric_atoms","value":2238,"base":10}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1762,"base":10}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2518,"base":10},"right_expr":{"type":"numeric_atoms","value":3452,"base":10}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1150,"base":10},"right_expr":{"type":"numeric_atoms","value":1870,"base":10}}}}},"used_operators":["2DlMacCsIx","PoHhknlbAi","6o9Blt3TJ6","2GS7woTJqF","2Wsdkap16l","V0kx6qeWkN","QMFrweE19q","JDUIKTTSIa","wicAB68Tmb","5twsqlHp2o","KFSx94NKJn","AF7qkfDlqP","4JB6nKBMSY","QbnwKVWMIQ","9samAPKr6k"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","NTOWxs364D","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⊺⇮-9","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1328","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=1064, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3984","layer":3},{"info":"number node, value=1418","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=1299, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1297","layer":3},{"info":"compute binary expreesion, left_input=-3984, right_input=1297, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=4017","layer":2},{"info":"number node, value=2630","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=2630, right_input=1488, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16909","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1205, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1841","layer":3},{"info":"compute binary expreesion, left_input=16909, right_input=-1841, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4017, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=3621","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=2238, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3319","layer":3},{"info":"number node, value=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1489","layer":3},{"info":"compute binary expreesion, left_input=3319, right_input=-1489, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6882","layer":2},{"info":"number node, value=2518","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=3452, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14724","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=1870, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14724, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=87958","layer":2},{"info":"compute binary expreesion, left_input=-6882, right_input=87958, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=236","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=236, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1328+⪬∐⊺⇮1064⫰⋱(⊺⇮1418⩹⊺⇮1299))∓⋝((⊺⇮2630⫡⨏⊺⇮1488)≳⇉⊺⇮1001⩣⫁∢⊺⇮1205)⩨((⊺⇮3621⩒⫫⊺⇮2238)⊢(⨑⩽⪐⊺⇮1762))⪝(⊺⇮2518⪥⊺⇮3452⇴⊺⇮1150⨽∌⊺⇮1870)=⊺⇮-9","reverse_text":"⊺⇮-9=(⊺⇮1328+⪬∐⊺⇮1064⫰⋱(⊺⇮1418⩹⊺⇮1299))∓⋝((⊺⇮2630⫡⨏⊺⇮1488)≳⇉⊺⇮1001⩣⫁∢⊺⇮1205)⩨((⊺⇮3621⩒⫫⊺⇮2238)⊢(⨑⩽⪐⊺⇮1762))⪝(⊺⇮2518⪥⊺⇮3452⇴⊺⇮1150⨽∌⊺⇮1870)","cot":[{"info":"⊺⇮1328+⪬∐⊺⇮1064=⊺⇮-3984","layer":3},{"info":"⊺⇮1418⩹⊺⇮1299=⊺⇮1297","layer":3},{"info":"⊺⇮-3984⫰⋱⊺⇮1297=⊺⇮4017","layer":2},{"info":"⊺⇮2630⫡⨏⊺⇮1488=⊺⇮16909","layer":3},{"info":"⊺⇮1001⩣⫁∢⊺⇮1205=⊺⇮-1841","layer":3},{"info":"⊺⇮16909≳⇉⊺⇮-1841=NaN","layer":2},{"info":"⊺⇮4017∓⋝NaN=⊺⇮67","layer":1},{"info":"⊺⇮3621⩒⫫⊺⇮2238=⊺⇮3319","layer":3},{"info":"⨑⩽⪐⊺⇮1762=⊺⇮-1489","layer":3},{"info":"⊺⇮3319⊢⊺⇮-1489=⊺⇮-6882","layer":2},{"info":"⊺⇮2518⪥⊺⇮3452=⊺⇮14724","layer":3},{"info":"⊺⇮1150⨽∌⊺⇮1870=⊺⇮0","layer":3},{"info":"⊺⇮14724⇴⊺⇮0=⊺⇮87958","layer":2},{"info":"⊺⇮-6882⪝⊺⇮87958=⊺⇮236","layer":1},{"info":"⊺⇮67⩨⊺⇮236=⊺⇮-9","layer":0}]}
{"id":752,"expression_no_base_symbol":"(($5492$⋻⩜⩜$2615$)∼($2557$∌↝$1275$)∀⋜↑)⊱⇼⊻(⋼∭⪍(($1625$⩹$5382$)⫌⩉⩟$7005$⋹⋡⊁$7783$))","expression":"((⊺⇮5492⋻⩜⩜⊺⇮2615)∼(⊺⇮2557∌↝⊺⇮1275)∀⋜↑)⊱⇼⊻(⋼∭⪍((⊺⇮1625⩹⊺⇮5382)⫌⩉⩟⊺⇮7005⋹⋡⊁⊺⇮7783))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":148672,"operation_count":9,"complexity_ratio":16519.11111111111,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5492,"base":10},"right_expr":{"type":"numeric_atoms","value":2615,"base":10}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2557,"base":10},"right_expr":{"type":"numeric_atoms","value":1275,"base":10}}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1625,"base":10},"right_expr":{"type":"numeric_atoms","value":5382,"base":10}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7005,"base":10},"right_expr":{"type":"numeric_atoms","value":7783,"base":10}}}}},"used_operators":["FyVja0WsTP","KipPnG1M2J","DyGG3AbaNP","oDCm7WA9JY","9Isq31Ruls","DbCuESL50I","XIIwhv8d0m","2Wsdkap16l","As8RqfVLgs"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⊺⇮1900","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5492","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=5492, right_input=2615, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10984","layer":3},{"info":"number node, value=2557","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=1275, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10984, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-424","layer":1},{"info":"number node, value=1625","layer":4},{"info":"number node, value=5382","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=5382, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5380","layer":3},{"info":"number node, value=7005","layer":4},{"info":"number node, value=7783","layer":4},{"info":"compute binary expreesion, left_input=7005, right_input=7783, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=8533","layer":3},{"info":"compute binary expreesion, left_input=5380, right_input=8533, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=746","layer":1},{"info":"compute binary expreesion, left_input=-424, right_input=746, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=1900","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5492⋻⩜⩜⊺⇮2615)∼(⊺⇮2557∌↝⊺⇮1275)∀⋜↑)⊱⇼⊻(⋼∭⪍((⊺⇮1625⩹⊺⇮5382)⫌⩉⩟⊺⇮7005⋹⋡⊁⊺⇮7783))=⊺⇮1900","reverse_text":"⊺⇮1900=((⊺⇮5492⋻⩜⩜⊺⇮2615)∼(⊺⇮2557∌↝⊺⇮1275)∀⋜↑)⊱⇼⊻(⋼∭⪍((⊺⇮1625⩹⊺⇮5382)⫌⩉⩟⊺⇮7005⋹⋡⊁⊺⇮7783))","cot":[{"info":"⊺⇮5492⋻⩜⩜⊺⇮2615=⊺⇮10984","layer":3},{"info":"⊺⇮2557∌↝⊺⇮1275=⊺⇮0","layer":3},{"info":"⊺⇮10984∼⊺⇮0=⊺⇮20","layer":2},{"info":"⊺⇮20∀⋜↑=⊺⇮-424","layer":1},{"info":"⊺⇮1625⩹⊺⇮5382=⊺⇮5380","layer":3},{"info":"⊺⇮7005⋹⋡⊁⊺⇮7783=⊺⇮8533","layer":3},{"info":"⊺⇮5380⫌⩉⩟⊺⇮8533=⊺⇮-50","layer":2},{"info":"⋼∭⪍⊺⇮-50=⊺⇮746","layer":1},{"info":"⊺⇮-424⊱⇼⊻⊺⇮746=⊺⇮1900","layer":0}]}
{"id":753,"expression_no_base_symbol":"(($2870$≄⊠$1048$⫸⊐$5193$⩷∴$7597$)⫏⊷)≚⋢","expression":"((⊺⇮2870≄⊠⊺⇮1048⫸⊐⊺⇮5193⩷∴⊺⇮7597)⫏⊷)≚⋢","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":29778,"operation_count":5,"complexity_ratio":5955.6,"tree":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2870,"base":10},"right_expr":{"type":"numeric_atoms","value":1048,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5193,"base":10},"right_expr":{"type":"numeric_atoms","value":7597,"base":10}}}}},"used_operators":["MahUMFw56D","dcShxvzhyw","mqXw5SEYmG","vXNesLlMH1","9FxExcQeMw"],"dependent_operators":["3ViojmjbAp","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z"],"result":"⊺⇮-89","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2870","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=1048, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=21436","layer":3},{"info":"number node, value=5193","layer":4},{"info":"number node, value=7597","layer":4},{"info":"compute binary expreesion, left_input=5193, right_input=7597, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4840","layer":3},{"info":"compute binary expreesion, left_input=21436, right_input=-4840, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-9809","layer":2},{"info":"compute unary expreesion, input=-9809, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":1},{"info":"compute unary expreesion, input=-820, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2870≄⊠⊺⇮1048⫸⊐⊺⇮5193⩷∴⊺⇮7597)⫏⊷)≚⋢=⊺⇮-89","reverse_text":"⊺⇮-89=((⊺⇮2870≄⊠⊺⇮1048⫸⊐⊺⇮5193⩷∴⊺⇮7597)⫏⊷)≚⋢","cot":[{"info":"⊺⇮2870≄⊠⊺⇮1048=⊺⇮21436","layer":3},{"info":"⊺⇮5193⩷∴⊺⇮7597=⊺⇮-4840","layer":3},{"info":"⊺⇮21436⫸⊐⊺⇮-4840=⊺⇮-9809","layer":2},{"info":"⊺⇮-9809⫏⊷=⊺⇮-820","layer":1},{"info":"⊺⇮-820≚⋢=⊺⇮-89","layer":0}]}
{"id":754,"expression_no_base_symbol":"(⇖(($1061$⇆⨓≜)⊭↱($2640$∕⩚$2823$)))≨((-$1006$)⨽∌($1515$⫃⨇$3004$))⨑⩅≇((⊬↢$2419$)⇯⋐)","expression":"(⇖((⊺⇮1061⇆⨓≜)⊭↱(⊺⇮2640∕⩚⊺⇮2823)))≨((-⊺⇮1006)⨽∌(⊺⇮1515⫃⨇⊺⇮3004))⨑⩅≇((⊬↢⊺⇮2419)⇯⋐)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7127,"operation_count":11,"complexity_ratio":647.9090909090909,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1061,"base":10}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2640,"base":10},"right_expr":{"type":"numeric_atoms","value":2823,"base":10}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1006,"base":10}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1515,"base":10},"right_expr":{"type":"numeric_atoms","value":3004,"base":10}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2419,"base":10}}}}},"used_operators":["0KMCeP1Jsh","tfWHHpNKUN","COABgblf1C","KvvgdUaMHJ","z9ffQ9n5Zr","h92wMvzauj","9samAPKr6k","t8gj7n24qd","09Ly4LVMIf","LkLIoiE525","WPoGxAaPR1"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","KYD54nUTWz","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"⊺⇮876","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=2640","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=2640, right_input=2823, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2643","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2643, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1006","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=3004, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-12048","layer":3},{"info":"compute binary expreesion, left_input=-1006, right_input=-12048, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=2419","layer":4},{"info":"compute unary expreesion, input=2419, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=1532","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1532, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=876","layer":0}],"base":10,"result_base":10,"text":"(⇖((⊺⇮1061⇆⨓≜)⊭↱(⊺⇮2640∕⩚⊺⇮2823)))≨((-⊺⇮1006)⨽∌(⊺⇮1515⫃⨇⊺⇮3004))⨑⩅≇((⊬↢⊺⇮2419)⇯⋐)=⊺⇮876","reverse_text":"⊺⇮876=(⇖((⊺⇮1061⇆⨓≜)⊭↱(⊺⇮2640∕⩚⊺⇮2823)))≨((-⊺⇮1006)⨽∌(⊺⇮1515⫃⨇⊺⇮3004))⨑⩅≇((⊬↢⊺⇮2419)⇯⋐)","cot":[{"info":"⊺⇮1061⇆⨓≜=NaN","layer":3},{"info":"⊺⇮2640∕⩚⊺⇮2823=⊺⇮-2643","layer":3},{"info":"NaN⊭↱⊺⇮-2643=NaN","layer":2},{"info":"⇖NaN=⊺⇮160","layer":1},{"info":"-⊺⇮1006=⊺⇮-1006","layer":3},{"info":"⊺⇮1515⫃⨇⊺⇮3004=⊺⇮-12048","layer":3},{"info":"⊺⇮-1006⨽∌⊺⇮-12048=⊺⇮0","layer":2},{"info":"⊬↢⊺⇮2419=⊺⇮218","layer":3},{"info":"⊺⇮218⇯⋐=⊺⇮1532","layer":2},{"info":"⊺⇮0⨑⩅≇⊺⇮1532=⊺⇮0","layer":1},{"info":"⊺⇮160≨⊺⇮0=⊺⇮876","layer":0}]}
{"id":755,"expression_no_base_symbol":"-$5700$⪛$3653$⇼⇔∾($1739$-$2942$)⨑≵⋬(⋎⨆$2309$↙$6952$)","expression":"-⊺⇮5700⪛⊺⇮3653⇼⇔∾(⊺⇮1739-⊺⇮2942)⨑≵⋬(⋎⨆⊺⇮2309↙⊺⇮6952)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7222,"operation_count":7,"complexity_ratio":1031.7142857142858,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5700,"base":10},"right_expr":{"type":"numeric_atoms","value":3653,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1739,"base":10},"right_expr":{"type":"numeric_atoms","value":2942,"base":10}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2309,"base":10},"right_expr":{"type":"numeric_atoms","value":6952,"base":10}}}}},"used_operators":["t8gj7n24qd","XnXgA4xnOs","tifHPKVTfV","uFcxV4UQCh","rysDP5nf3Z","E64sFOc4tB","yyfyN0ffXY"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","tmPS8pqC7x","DpFCA1CohY"],"result":"⊺⇮58260135","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5700","layer":4},{"info":"number node, value=3653","layer":4},{"info":"compute binary expreesion, left_input=5700, right_input=3653, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2047","layer":3},{"info":"number node, value=1739","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=2942, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1203","layer":3},{"info":"compute binary expreesion, left_input=2047, right_input=-1203, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3250","layer":2},{"info":"number node, value=2309","layer":4},{"info":"number node, value=6952","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=6952, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20856","layer":3},{"info":"compute unary expreesion, input=-20856, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-3250, right_input=8320752, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-58260135","layer":1},{"info":"compute unary expreesion, input=-58260135, op_id = t8gj7n24qd, unary_op_definition = 'None', output=58260135","layer":0}],"base":10,"result_base":10,"text":"-⊺⇮5700⪛⊺⇮3653⇼⇔∾(⊺⇮1739-⊺⇮2942)⨑≵⋬(⋎⨆⊺⇮2309↙⊺⇮6952)=⊺⇮58260135","reverse_text":"⊺⇮58260135=-⊺⇮5700⪛⊺⇮3653⇼⇔∾(⊺⇮1739-⊺⇮2942)⨑≵⋬(⋎⨆⊺⇮2309↙⊺⇮6952)","cot":[{"info":"⊺⇮5700⪛⊺⇮3653=⊺⇮2047","layer":3},{"info":"⊺⇮1739-⊺⇮2942=⊺⇮-1203","layer":3},{"info":"⊺⇮2047⇼⇔∾⊺⇮-1203=⊺⇮-3250","layer":2},{"info":"⊺⇮2309↙⊺⇮6952=⊺⇮-20856","layer":3},{"info":"⋎⨆⊺⇮-20856=⊺⇮8320752","layer":2},{"info":"⊺⇮-3250⨑≵⋬⊺⇮8320752=⊺⇮-58260135","layer":1},{"info":"-⊺⇮-58260135=⊺⇮58260135","layer":0}]}
{"id":756,"expression_no_base_symbol":"⨵≀≌(($3743$⋳⪒$3889$)∇⊂⋱($1911$⪛$5074$)⫌⩉⩟$2538$∋$6317$⇌⫙⪟$7436$↢$1362$)","expression":"⨵≀≌((⊺⇮3743⋳⪒⊺⇮3889)∇⊂⋱(⊺⇮1911⪛⊺⇮5074)⫌⩉⩟⊺⇮2538∋⊺⇮6317⇌⫙⪟⊺⇮7436↢⊺⇮1362)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15153,"operation_count":8,"complexity_ratio":1894.125,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3743,"base":10},"right_expr":{"type":"numeric_atoms","value":3889,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1911,"base":10},"right_expr":{"type":"numeric_atoms","value":5074,"base":10}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2538,"base":10},"right_expr":{"type":"numeric_atoms","value":6317,"base":10}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":7436,"base":10},"right_expr":{"type":"numeric_atoms","value":1362,"base":10}}}}},"used_operators":["srAu1WTS94","XIIwhv8d0m","nhYeJWJD5X","12rbrZMWeM","uFcxV4UQCh","AFVx7xoS7T","ukq6epAj5P","WR6HLWljOP"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⊺⇮2500","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3743","layer":4},{"info":"number node, value=3889","layer":4},{"info":"compute binary expreesion, left_input=3743, right_input=3889, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3310","layer":3},{"info":"number node, value=1911","layer":4},{"info":"number node, value=5074","layer":4},{"info":"compute binary expreesion, left_input=1911, right_input=5074, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1911","layer":3},{"info":"compute binary expreesion, left_input=3310, right_input=1911, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6074","layer":2},{"info":"number node, value=2538","layer":4},{"info":"number node, value=6317","layer":4},{"info":"compute binary expreesion, left_input=2538, right_input=6317, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=13167128","layer":3},{"info":"number node, value=7436","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=7436, right_input=1362, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=6952","layer":3},{"info":"compute binary expreesion, left_input=13167128, right_input=6952, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=6074, right_input=113, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=2500","layer":0}],"base":10,"result_base":10,"text":"⨵≀≌((⊺⇮3743⋳⪒⊺⇮3889)∇⊂⋱(⊺⇮1911⪛⊺⇮5074)⫌⩉⩟⊺⇮2538∋⊺⇮6317⇌⫙⪟⊺⇮7436↢⊺⇮1362)=⊺⇮2500","reverse_text":"⊺⇮2500=⨵≀≌((⊺⇮3743⋳⪒⊺⇮3889)∇⊂⋱(⊺⇮1911⪛⊺⇮5074)⫌⩉⩟⊺⇮2538∋⊺⇮6317⇌⫙⪟⊺⇮7436↢⊺⇮1362)","cot":[{"info":"⊺⇮3743⋳⪒⊺⇮3889=⊺⇮3310","layer":3},{"info":"⊺⇮1911⪛⊺⇮5074=⊺⇮1911","layer":3},{"info":"⊺⇮3310∇⊂⋱⊺⇮1911=⊺⇮6074","layer":2},{"info":"⊺⇮2538∋⊺⇮6317=⊺⇮13167128","layer":3},{"info":"⊺⇮7436↢⊺⇮1362=⊺⇮6952","layer":3},{"info":"⊺⇮13167128⇌⫙⪟⊺⇮6952=⊺⇮113","layer":2},{"info":"⊺⇮6074⫌⩉⩟⊺⇮113=⊺⇮-50","layer":1},{"info":"⨵≀≌⊺⇮-50=⊺⇮2500","layer":0}]}
{"id":757,"expression_no_base_symbol":"↨⩢⫨(∥⊫($2302$⩨$2885$))⨟⋌⩍(⇤←$1108$⪉⨛$3007$)","expression":"↨⩢⫨(∥⊫(⊺⇮2302⩨⊺⇮2885))⨟⋌⩍(⇤←⊺⇮1108⪉⨛⊺⇮3007)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":147,"operation_count":6,"complexity_ratio":24.5,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2302,"base":10},"right_expr":{"type":"numeric_atoms","value":2885,"base":10}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1108,"base":10},"right_expr":{"type":"numeric_atoms","value":3007,"base":10}}}}},"used_operators":["Z5CJsN7DuW","rGHVDoGpnC","P8v4zCKN1o","2DlMacCsIx","jfAgQ2OQeM","EWw2JM7wp4"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2302","layer":4},{"info":"number node, value=2885","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=2885, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=865","layer":2},{"info":"number node, value=1108","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=3007, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=532","layer":3},{"info":"compute unary expreesion, input=532, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-1294","layer":2},{"info":"compute binary expreesion, left_input=865, right_input=-1294, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":10,"result_base":10,"text":"↨⩢⫨(∥⊫(⊺⇮2302⩨⊺⇮2885))⨟⋌⩍(⇤←⊺⇮1108⪉⨛⊺⇮3007)=⊺⇮0","reverse_text":"⊺⇮0=↨⩢⫨(∥⊫(⊺⇮2302⩨⊺⇮2885))⨟⋌⩍(⇤←⊺⇮1108⪉⨛⊺⇮3007)","cot":[{"info":"⊺⇮2302⩨⊺⇮2885=⊺⇮-3","layer":3},{"info":"∥⊫⊺⇮-3=⊺⇮865","layer":2},{"info":"⊺⇮1108⪉⨛⊺⇮3007=⊺⇮532","layer":3},{"info":"⇤←⊺⇮532=⊺⇮-1294","layer":2},{"info":"⊺⇮865⨟⋌⩍⊺⇮-1294=NaN","layer":1},{"info":"↨⩢⫨NaN=⊺⇮0","layer":0}]}
{"id":758,"expression_no_base_symbol":"((($2381$≃$1776$)∩⋅)↙(⋠∜($2923$⫃⨇$2109$)))⋥≓≎(⇺⋃((↣≠⋷$2137$)⪔⊥(⩏⊷≩$3548$)))","expression":"(((⊺⇮2381≃⊺⇮1776)∩⋅)↙(⋠∜(⊺⇮2923⫃⨇⊺⇮2109)))⋥≓≎(⇺⋃((↣≠⋷⊺⇮2137)⪔⊥(⩏⊷≩⊺⇮3548)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":153,"operation_count":10,"complexity_ratio":15.3,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2381,"base":10},"right_expr":{"type":"numeric_atoms","value":1776,"base":10}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2923,"base":10},"right_expr":{"type":"numeric_atoms","value":2109,"base":10}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2137,"base":10}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":3548,"base":10}}}}},"used_operators":["Qy55tPpLXF","yyfyN0ffXY","2MzE1hQ0cz","YbVcJGFEVW","ZJpFhNJr3x","09Ly4LVMIf","E5v5B3UAjG","HJ9erzHUuu","Asc51vEJeQ","uOZ1tnYMDE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","23Mk6UjR3U","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2381","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=1776, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-9564","layer":3},{"info":"compute unary expreesion, input=-9564, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":2},{"info":"number node, value=2923","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=2109, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8468","layer":3},{"info":"compute unary expreesion, input=-8468, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-31588","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-31588, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=67","layer":1},{"info":"number node, value=2137","layer":4},{"info":"compute unary expreesion, input=2137, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3548","layer":4},{"info":"compute unary expreesion, input=3548, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=6795","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6795, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2381≃⊺⇮1776)∩⋅)↙(⋠∜(⊺⇮2923⫃⨇⊺⇮2109)))⋥≓≎(⇺⋃((↣≠⋷⊺⇮2137)⪔⊥(⩏⊷≩⊺⇮3548)))=NaN","reverse_text":"NaN=(((⊺⇮2381≃⊺⇮1776)∩⋅)↙(⋠∜(⊺⇮2923⫃⨇⊺⇮2109)))⋥≓≎(⇺⋃((↣≠⋷⊺⇮2137)⪔⊥(⩏⊷≩⊺⇮3548)))","cot":[{"info":"⊺⇮2381≃⊺⇮1776=⊺⇮-9564","layer":3},{"info":"⊺⇮-9564∩⋅=⊺⇮67","layer":2},{"info":"⊺⇮2923⫃⨇⊺⇮2109=⊺⇮-8468","layer":3},{"info":"⋠∜⊺⇮-8468=⊺⇮-31588","layer":2},{"info":"⊺⇮67↙⊺⇮-31588=⊺⇮67","layer":1},{"info":"↣≠⋷⊺⇮2137=NaN","layer":3},{"info":"⩏⊷≩⊺⇮3548=⊺⇮6795","layer":3},{"info":"NaN⪔⊥⊺⇮6795=NaN","layer":2},{"info":"⇺⋃NaN=NaN","layer":1},{"info":"⊺⇮67⋥≓≎NaN=NaN","layer":0}]}
{"id":759,"expression_no_base_symbol":"(((⪁⇼$1676$)⫥∨⫟$3486$⩣⫁∢$2486$)⊍)≧⫂∧(($1447$⪛$1000$)⩣⫁∢(-$1271$)⨔≚≋($1102$⇣⩺⋵$7609$)⪭($1187$⫌⩹⨱))","expression":"(((⪁⇼⊺⇮1676)⫥∨⫟⊺⇮3486⩣⫁∢⊺⇮2486)⊍)≧⫂∧((⊺⇮1447⪛⊺⇮1000)⩣⫁∢(-⊺⇮1271)⨔≚≋(⊺⇮1102⇣⩺⋵⊺⇮7609)⪭(⊺⇮1187⫌⩹⨱))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":310,"operation_count":12,"complexity_ratio":25.833333333333332,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1676,"base":10}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3486,"base":10},"right_expr":{"type":"numeric_atoms","value":2486,"base":10}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1447,"base":10},"right_expr":{"type":"numeric_atoms","value":1000,"base":10}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1271,"base":10}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1102,"base":10},"right_expr":{"type":"numeric_atoms","value":7609,"base":10}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1187,"base":10}}}}},"used_operators":["Ph9nP6C5qx","3nqY3DE9mg","KYD54nUTWz","ZNVVrZ94lY","JDUIKTTSIa","Z57zeUYC9z","uFcxV4UQCh","t8gj7n24qd","j9kHMeSvPp","F4yD0voBRQ","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":4},{"info":"compute unary expreesion, input=1676, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=3486","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=2486, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6811","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=-6811, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=nan","layer":1},{"info":"number node, value=1447","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=1000, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=447","layer":3},{"info":"number node, value=1271","layer":4},{"info":"compute unary expreesion, input=1271, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1271","layer":3},{"info":"compute binary expreesion, left_input=447, right_input=-1271, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-733","layer":2},{"info":"number node, value=1102","layer":4},{"info":"number node, value=7609","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=7609, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-10748","layer":3},{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3775","layer":3},{"info":"compute binary expreesion, left_input=-10748, right_input=3775, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=10574","layer":2},{"info":"compute binary expreesion, left_input=-733, right_input=10574, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-75624","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-75624, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⪁⇼⊺⇮1676)⫥∨⫟⊺⇮3486⩣⫁∢⊺⇮2486)⊍)≧⫂∧((⊺⇮1447⪛⊺⇮1000)⩣⫁∢(-⊺⇮1271)⨔≚≋(⊺⇮1102⇣⩺⋵⊺⇮7609)⪭(⊺⇮1187⫌⩹⨱))=NaN","reverse_text":"NaN=(((⪁⇼⊺⇮1676)⫥∨⫟⊺⇮3486⩣⫁∢⊺⇮2486)⊍)≧⫂∧((⊺⇮1447⪛⊺⇮1000)⩣⫁∢(-⊺⇮1271)⨔≚≋(⊺⇮1102⇣⩺⋵⊺⇮7609)⪭(⊺⇮1187⫌⩹⨱))","cot":[{"info":"⪁⇼⊺⇮1676=⊺⇮422","layer":3},{"info":"⊺⇮3486⩣⫁∢⊺⇮2486=⊺⇮-6811","layer":3},{"info":"⊺⇮422⫥∨⫟⊺⇮-6811=NaN","layer":2},{"info":"NaN⊍=NaN","layer":1},{"info":"⊺⇮1447⪛⊺⇮1000=⊺⇮447","layer":3},{"info":"-⊺⇮1271=⊺⇮-1271","layer":3},{"info":"⊺⇮447⩣⫁∢⊺⇮-1271=⊺⇮-733","layer":2},{"info":"⊺⇮1102⇣⩺⋵⊺⇮7609=⊺⇮-10748","layer":3},{"info":"⊺⇮1187⫌⩹⨱=⊺⇮3775","layer":3},{"info":"⊺⇮-10748⪭⊺⇮3775=⊺⇮10574","layer":2},{"info":"⊺⇮-733⨔≚≋⊺⇮10574=⊺⇮-75624","layer":1},{"info":"NaN≧⫂∧⊺⇮-75624=NaN","layer":0}]}
{"id":760,"expression_no_base_symbol":"(($2683$⫏⊷)⩷∴$5238$⪪$3032$⨸⪁($2820$⪨≂$6987$)⩼⇪↪$3206$⪎↠$1362$)⊫∞","expression":"((⊺⇮2683⫏⊷)⩷∴⊺⇮5238⪪⊺⇮3032⨸⪁(⊺⇮2820⪨≂⊺⇮6987)⩼⇪↪⊺⇮3206⪎↠⊺⇮1362)⊫∞","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":47264,"operation_count":8,"complexity_ratio":5908.0,"tree":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":2683,"base":10}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":5238,"base":10},"right_expr":{"type":"numeric_atoms","value":3032,"base":10}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2820,"base":10},"right_expr":{"type":"numeric_atoms","value":6987,"base":10}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3206,"base":10},"right_expr":{"type":"numeric_atoms","value":1362,"base":10}}}}},"used_operators":["pABnYW3G3E","g55IO6H4Gj","9FxExcQeMw","dcShxvzhyw","xD69zh8xqp","ocnLzx9CaJ","sdazOOVcIp","3tVxb0NHM4"],"dependent_operators":["fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","W4YGzv6Whe","rysDP5nf3Z","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2683","layer":4},{"info":"compute unary expreesion, input=2683, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=5238","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=5238, right_input=3032, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-787027","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=-787027, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1572382","layer":2},{"info":"number node, value=2820","layer":4},{"info":"number node, value=6987","layer":4},{"info":"compute binary expreesion, left_input=2820, right_input=6987, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8232","layer":3},{"info":"number node, value=3206","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=1362, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-8232, right_input=160, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-18367","layer":2},{"info":"compute binary expreesion, left_input=1572382, right_input=-18367, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3108030","layer":1},{"info":"compute unary expreesion, input=3108030, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2683⫏⊷)⩷∴⊺⇮5238⪪⊺⇮3032⨸⪁(⊺⇮2820⪨≂⊺⇮6987)⩼⇪↪⊺⇮3206⪎↠⊺⇮1362)⊫∞=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮2683⫏⊷)⩷∴⊺⇮5238⪪⊺⇮3032⨸⪁(⊺⇮2820⪨≂⊺⇮6987)⩼⇪↪⊺⇮3206⪎↠⊺⇮1362)⊫∞","cot":[{"info":"⊺⇮2683⫏⊷=⊺⇮-820","layer":3},{"info":"⊺⇮5238⪪⊺⇮3032=⊺⇮-787027","layer":3},{"info":"⊺⇮-820⩷∴⊺⇮-787027=⊺⇮1572382","layer":2},{"info":"⊺⇮2820⪨≂⊺⇮6987=⊺⇮-8232","layer":3},{"info":"⊺⇮3206⪎↠⊺⇮1362=⊺⇮160","layer":3},{"info":"⊺⇮-8232⩼⇪↪⊺⇮160=⊺⇮-18367","layer":2},{"info":"⊺⇮1572382⨸⪁⊺⇮-18367=⊺⇮3108030","layer":1},{"info":"⊺⇮3108030⊫∞=⊺⇮0","layer":0}]}
{"id":761,"expression_no_base_symbol":"↯⪼((($1037$⪁$3602$)⪟⇏(⇜$3469$))⊀⩕)","expression":"↯⪼(((⊺⇮1037⪁⊺⇮3602)⪟⇏(⇜⊺⇮3469))⊀⩕)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":876900184,"operation_count":5,"complexity_ratio":175380036.8,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1037,"base":10},"right_expr":{"type":"numeric_atoms","value":3602,"base":10}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":3469,"base":10}}}}},"used_operators":["8jW3W4yZS5","r0FS3hW4cC","GODebY97qR","I7sXao9hZE","lFBm8KRb8F"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","nhYeJWJD5X","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"⊺⇮-21","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=3602, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=3469","layer":4},{"info":"compute unary expreesion, input=3469, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-28160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-28160, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":10,"result_base":10,"text":"↯⪼(((⊺⇮1037⪁⊺⇮3602)⪟⇏(⇜⊺⇮3469))⊀⩕)=⊺⇮-21","reverse_text":"⊺⇮-21=↯⪼(((⊺⇮1037⪁⊺⇮3602)⪟⇏(⇜⊺⇮3469))⊀⩕)","cot":[{"info":"⊺⇮1037⪁⊺⇮3602=NaN","layer":3},{"info":"⇜⊺⇮3469=⊺⇮-28160","layer":3},{"info":"NaN⪟⇏⊺⇮-28160=NaN","layer":2},{"info":"NaN⊀⩕=NaN","layer":1},{"info":"↯⪼NaN=⊺⇮-21","layer":0}]}
{"id":762,"expression_no_base_symbol":"⊖∈(↩⪖($4305$⪪$1582$↱$5318$⨎$3852$))","expression":"⊖∈(↩⪖(⊺⇮4305⪪⊺⇮1582↱⊺⇮5318⨎⊺⇮3852))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13173,"operation_count":5,"complexity_ratio":2634.6,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4305,"base":10},"right_expr":{"type":"numeric_atoms","value":1582,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5318,"base":10},"right_expr":{"type":"numeric_atoms","value":3852,"base":10}}}}},"used_operators":["YFxL8Sc2Zy","fG6uBQFnGz","SR5kFfdi6N","xD69zh8xqp","rJVOvQCfKK"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","FU0Cs4j7VP","JclMnS0uGI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮3040046","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4305","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=4305, right_input=1582, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-646144","layer":3},{"info":"number node, value=5318","layer":4},{"info":"number node, value=3852","layer":4},{"info":"compute binary expreesion, left_input=5318, right_input=3852, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3852","layer":3},{"info":"compute binary expreesion, left_input=-646144, right_input=3852, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-11034","layer":2},{"info":"compute unary expreesion, input=-11034, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=152282","layer":1},{"info":"compute unary expreesion, input=152282, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=3040046","layer":0}],"base":10,"result_base":10,"text":"⊖∈(↩⪖(⊺⇮4305⪪⊺⇮1582↱⊺⇮5318⨎⊺⇮3852))=⊺⇮3040046","reverse_text":"⊺⇮3040046=⊖∈(↩⪖(⊺⇮4305⪪⊺⇮1582↱⊺⇮5318⨎⊺⇮3852))","cot":[{"info":"⊺⇮4305⪪⊺⇮1582=⊺⇮-646144","layer":3},{"info":"⊺⇮5318⨎⊺⇮3852=⊺⇮3852","layer":3},{"info":"⊺⇮-646144↱⊺⇮3852=⊺⇮-11034","layer":2},{"info":"↩⪖⊺⇮-11034=⊺⇮152282","layer":1},{"info":"⊖∈⊺⇮152282=⊺⇮3040046","layer":0}]}
{"id":763,"expression_no_base_symbol":"(($4270$⋛$3304$⩵∡($4321$⪨≂$1497$))∵≐)∴≳≥","expression":"((⊺⇮4270⋛⊺⇮3304⩵∡(⊺⇮4321⪨≂⊺⇮1497))∵≐)∴≳≥","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":285,"operation_count":5,"complexity_ratio":57.0,"tree":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4270,"base":10},"right_expr":{"type":"numeric_atoms","value":3304,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4321,"base":10},"right_expr":{"type":"numeric_atoms","value":1497,"base":10}}}}},"used_operators":["a3N2hFLK0J","59igzFyhWz","Y7wcNGrDQJ","YbUVn0Rbpy","sdazOOVcIp"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","NTOWxs364D","glklzrTFfD","tifHPKVTfV","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮1143876","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4270","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=4270, right_input=3304, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-93762","layer":3},{"info":"number node, value=4321","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=4321, right_input=1497, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5750","layer":3},{"info":"compute binary expreesion, left_input=-93762, right_input=5750, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=286915","layer":2},{"info":"compute unary expreesion, input=286915, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=285969","layer":1},{"info":"compute unary expreesion, input=285969, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=1143876","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4270⋛⊺⇮3304⩵∡(⊺⇮4321⪨≂⊺⇮1497))∵≐)∴≳≥=⊺⇮1143876","reverse_text":"⊺⇮1143876=((⊺⇮4270⋛⊺⇮3304⩵∡(⊺⇮4321⪨≂⊺⇮1497))∵≐)∴≳≥","cot":[{"info":"⊺⇮4270⋛⊺⇮3304=⊺⇮-93762","layer":3},{"info":"⊺⇮4321⪨≂⊺⇮1497=⊺⇮5750","layer":3},{"info":"⊺⇮-93762⩵∡⊺⇮5750=⊺⇮286915","layer":2},{"info":"⊺⇮286915∵≐=⊺⇮285969","layer":1},{"info":"⊺⇮285969∴≳≥=⊺⇮1143876","layer":0}]}
{"id":764,"expression_no_base_symbol":"($4017$⫁⪎$1834$⇩)⩦($1331$⩷∴$2635$≃$9101$⨥⫆$1051$)↳∿⪆(⋗⩴⪓($1880$∼$1680$⫚↹⊑$3884$⨔⇊$7494$))","expression":"(⊺⇮4017⫁⪎⊺⇮1834⇩)⩦(⊺⇮1331⩷∴⊺⇮2635≃⊺⇮9101⨥⫆⊺⇮1051)↳∿⪆(⋗⩴⪓(⊺⇮1880∼⊺⇮1680⫚↹⊑⊺⇮3884⨔⇊⊺⇮7494))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2598,"operation_count":11,"complexity_ratio":236.1818181818182,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4017,"base":10},"right_expr":{"type":"numeric_atoms","value":1834,"base":10}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1331,"base":10},"right_expr":{"type":"numeric_atoms","value":2635,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":9101,"base":10},"right_expr":{"type":"numeric_atoms","value":1051,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1880,"base":10},"right_expr":{"type":"numeric_atoms","value":1680,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3884,"base":10},"right_expr":{"type":"numeric_atoms","value":7494,"base":10}}}}},"used_operators":["Cw4SuJJGHO","0kmYd0q39Y","vRio1gEz1j","xRrnTEsQ6j","YbVcJGFEVW","9FxExcQeMw","yXekIHxTD4","nOKPl9n5zu","dfKe02y8D2","DyGG3AbaNP","JclMnS0uGI"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4017","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=1834, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2183","layer":3},{"info":"compute unary expreesion, input=2183, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=2276","layer":2},{"info":"number node, value=1331","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=2635, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2640","layer":3},{"info":"number node, value=9101","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=9101, right_input=1051, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=1978","layer":3},{"info":"compute binary expreesion, left_input=-2640, right_input=1978, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=5260","layer":2},{"info":"compute binary expreesion, left_input=2276, right_input=5260, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4552","layer":1},{"info":"number node, value=1880","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=1680, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=3884","layer":4},{"info":"number node, value=7494","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=7494, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=7494","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7494, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=4408","layer":1},{"info":"compute binary expreesion, left_input=4552, right_input=4408, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4017⫁⪎⊺⇮1834⇩)⩦(⊺⇮1331⩷∴⊺⇮2635≃⊺⇮9101⨥⫆⊺⇮1051)↳∿⪆(⋗⩴⪓(⊺⇮1880∼⊺⇮1680⫚↹⊑⊺⇮3884⨔⇊⊺⇮7494))=NaN","reverse_text":"NaN=(⊺⇮4017⫁⪎⊺⇮1834⇩)⩦(⊺⇮1331⩷∴⊺⇮2635≃⊺⇮9101⨥⫆⊺⇮1051)↳∿⪆(⋗⩴⪓(⊺⇮1880∼⊺⇮1680⫚↹⊑⊺⇮3884⨔⇊⊺⇮7494))","cot":[{"info":"⊺⇮4017⫁⪎⊺⇮1834=⊺⇮2183","layer":3},{"info":"⊺⇮2183⇩=⊺⇮2276","layer":2},{"info":"⊺⇮1331⩷∴⊺⇮2635=⊺⇮-2640","layer":3},{"info":"⊺⇮9101⨥⫆⊺⇮1051=⊺⇮1978","layer":3},{"info":"⊺⇮-2640≃⊺⇮1978=⊺⇮5260","layer":2},{"info":"⊺⇮2276⩦⊺⇮5260=⊺⇮4552","layer":1},{"info":"⊺⇮1880∼⊺⇮1680=NaN","layer":3},{"info":"⊺⇮3884⨔⇊⊺⇮7494=⊺⇮7494","layer":3},{"info":"NaN⫚↹⊑⊺⇮7494=⊺⇮-447","layer":2},{"info":"⋗⩴⪓⊺⇮-447=⊺⇮4408","layer":1},{"info":"⊺⇮4552↳∿⪆⊺⇮4408=NaN","layer":0}]}
{"id":765,"expression_no_base_symbol":"((≘($4449$⫞⩸⩒$4026$))↳∿⪆(∷≠($2313$⨭⪣$6079$)))⫘(($1312$⪔$5308$⫌⩉⩟($1024$⩘))⇷(∥⊫$2713$)⨜⨶(⊗$4799$))","expression":"((≘(⊺⇮4449⫞⩸⩒⊺⇮4026))↳∿⪆(∷≠(⊺⇮2313⨭⪣⊺⇮6079)))⫘((⊺⇮1312⪔⊺⇮5308⫌⩉⩟(⊺⇮1024⩘))⇷(∥⊫⊺⇮2713)⨜⨶(⊗⊺⇮4799))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15444,"operation_count":13,"complexity_ratio":1188.0,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":4449,"base":10},"right_expr":{"type":"numeric_atoms","value":4026,"base":10}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2313,"base":10},"right_expr":{"type":"numeric_atoms","value":6079,"base":10}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1312,"base":10},"right_expr":{"type":"numeric_atoms","value":5308,"base":10}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1024,"base":10}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2713,"base":10}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4799,"base":10}}}}},"used_operators":["48vC8HMD2b","Cw4SuJJGHO","tcjXMdvYtA","XGcMNugi78","QiR2Oyf5Xj","kn8WO9XteQ","mp7IySMOzn","XIIwhv8d0m","GjBEYRfMaF","wvHyciQT5X","HiPekx5b7W","P8v4zCKN1o","RhiyfpczSx"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","7j4O788W3g","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9ICcGScMcE","dfKe02y8D2","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4449","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=4449, right_input=4026, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4026","layer":3},{"info":"compute unary expreesion, input=4026, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=8878114","layer":2},{"info":"number node, value=2313","layer":4},{"info":"number node, value=6079","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=6079, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1034","layer":3},{"info":"compute unary expreesion, input=1034, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1034","layer":2},{"info":"compute binary expreesion, left_input=8878114, right_input=1034, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1312","layer":4},{"info":"number node, value=5308","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=5308, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=67, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2713","layer":4},{"info":"compute unary expreesion, input=2713, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3581","layer":3},{"info":"number node, value=4799","layer":4},{"info":"compute unary expreesion, input=4799, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-9598","layer":3},{"info":"compute binary expreesion, left_input=3581, right_input=-9598, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-20995","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-20995, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≘(⊺⇮4449⫞⩸⩒⊺⇮4026))↳∿⪆(∷≠(⊺⇮2313⨭⪣⊺⇮6079)))⫘((⊺⇮1312⪔⊺⇮5308⫌⩉⩟(⊺⇮1024⩘))⇷(∥⊫⊺⇮2713)⨜⨶(⊗⊺⇮4799))=NaN","reverse_text":"NaN=((≘(⊺⇮4449⫞⩸⩒⊺⇮4026))↳∿⪆(∷≠(⊺⇮2313⨭⪣⊺⇮6079)))⫘((⊺⇮1312⪔⊺⇮5308⫌⩉⩟(⊺⇮1024⩘))⇷(∥⊫⊺⇮2713)⨜⨶(⊗⊺⇮4799))","cot":[{"info":"⊺⇮4449⫞⩸⩒⊺⇮4026=⊺⇮4026","layer":3},{"info":"≘⊺⇮4026=⊺⇮8878114","layer":2},{"info":"⊺⇮2313⨭⪣⊺⇮6079=⊺⇮1034","layer":3},{"info":"∷≠⊺⇮1034=⊺⇮1034","layer":2},{"info":"⊺⇮8878114↳∿⪆⊺⇮1034=NaN","layer":1},{"info":"⊺⇮1312⪔⊺⇮5308=⊺⇮450","layer":3},{"info":"⊺⇮1024⩘=⊺⇮67","layer":3},{"info":"⊺⇮450⫌⩉⩟⊺⇮67=⊺⇮-50","layer":2},{"info":"∥⊫⊺⇮2713=⊺⇮3581","layer":3},{"info":"⊗⊺⇮4799=⊺⇮-9598","layer":3},{"info":"⊺⇮3581⨜⨶⊺⇮-9598=⊺⇮-20995","layer":2},{"info":"⊺⇮-50⇷⊺⇮-20995=NaN","layer":1},{"info":"NaN⫘NaN=NaN","layer":0}]}
{"id":766,"expression_no_base_symbol":"⇋⊎⋝(↩⪖($3273$∋$6115$⇷($1130$⪔$3073$)))","expression":"⇋⊎⋝(↩⪖(⊺⇮3273∋⊺⇮6115⇷(⊺⇮1130⪔⊺⇮3073)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11688,"operation_count":5,"complexity_ratio":2337.6,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3273,"base":10},"right_expr":{"type":"numeric_atoms","value":6115,"base":10}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1130,"base":10},"right_expr":{"type":"numeric_atoms","value":3073,"base":10}}}}},"used_operators":["CzM2PEoXns","fG6uBQFnGz","mp7IySMOzn","ukq6epAj5P","GjBEYRfMaF"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3273","layer":4},{"info":"number node, value=6115","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=6115, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=12786804","layer":3},{"info":"number node, value=1130","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=3073, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=12786804, right_input=450, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=900","layer":2},{"info":"compute unary expreesion, input=900, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-8382","layer":1},{"info":"compute unary expreesion, input=-8382, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇋⊎⋝(↩⪖(⊺⇮3273∋⊺⇮6115⇷(⊺⇮1130⪔⊺⇮3073)))=NaN","reverse_text":"NaN=⇋⊎⋝(↩⪖(⊺⇮3273∋⊺⇮6115⇷(⊺⇮1130⪔⊺⇮3073)))","cot":[{"info":"⊺⇮3273∋⊺⇮6115=⊺⇮12786804","layer":3},{"info":"⊺⇮1130⪔⊺⇮3073=⊺⇮450","layer":3},{"info":"⊺⇮12786804⇷⊺⇮450=⊺⇮900","layer":2},{"info":"↩⪖⊺⇮900=⊺⇮-8382","layer":1},{"info":"⇋⊎⋝⊺⇮-8382=NaN","layer":0}]}
{"id":767,"expression_no_base_symbol":"(((⋣$1365$)⫥∨⫟($4378$⪣⫩))∌↝(($1599$⋷$2889$)⊭↱($4676$⨸⪁$1918$)))≝⊿(($5303$⋾⨃∁$1017$)⪛($4761$⪁$1005$)⩒⫫($2562$⩤)⪟⇏($1397$↙$1697$))","expression":"(((⋣⊺⇮1365)⫥∨⫟(⊺⇮4378⪣⫩))∌↝((⊺⇮1599⋷⊺⇮2889)⊭↱(⊺⇮4676⨸⪁⊺⇮1918)))≝⊿((⊺⇮5303⋾⨃∁⊺⇮1017)⪛(⊺⇮4761⪁⊺⇮1005)⩒⫫(⊺⇮2562⩤)⪟⇏(⊺⇮1397↙⊺⇮1697))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10113590,"operation_count":15,"complexity_ratio":674239.3333333334,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1365,"base":10}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":4378,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1599,"base":10},"right_expr":{"type":"numeric_atoms","value":2889,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4676,"base":10},"right_expr":{"type":"numeric_atoms","value":1918,"base":10}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5303,"base":10},"right_expr":{"type":"numeric_atoms","value":1017,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4761,"base":10},"right_expr":{"type":"numeric_atoms","value":1005,"base":10}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2562,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1397,"base":10},"right_expr":{"type":"numeric_atoms","value":1697,"base":10}}}}},"used_operators":["OKKcZfAt5B","9Isq31Ruls","KYD54nUTWz","zQWRhDnn8F","iuk5sVOGFA","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","KFSx94NKJn","uFcxV4UQCh","212REbPD9h","I7sXao9hZE","GODebY97qR","Z2TMIBDE3Q","yyfyN0ffXY"],"dependent_operators":["12rbrZMWeM","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","8HhzD0ZcuI","rGHVDoGpnC","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-401215","layer":3},{"info":"number node, value=4378","layer":4},{"info":"compute unary expreesion, input=4378, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=13101","layer":3},{"info":"compute binary expreesion, left_input=-401215, right_input=13101, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1599","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=2889, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4179","layer":3},{"info":"number node, value=4676","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=4676, right_input=1918, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13188","layer":3},{"info":"compute binary expreesion, left_input=4179, right_input=13188, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=18023","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18023, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"number node, value=5303","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=5303, right_input=1017, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10330592","layer":3},{"info":"number node, value=4761","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=4761, right_input=1005, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10330592, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2562","layer":4},{"info":"compute unary expreesion, input=2562, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2562","layer":3},{"info":"number node, value=1397","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=1697, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5091","layer":3},{"info":"compute binary expreesion, left_input=-2562, right_input=-5091, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⋣⊺⇮1365)⫥∨⫟(⊺⇮4378⪣⫩))∌↝((⊺⇮1599⋷⊺⇮2889)⊭↱(⊺⇮4676⨸⪁⊺⇮1918)))≝⊿((⊺⇮5303⋾⨃∁⊺⇮1017)⪛(⊺⇮4761⪁⊺⇮1005)⩒⫫(⊺⇮2562⩤)⪟⇏(⊺⇮1397↙⊺⇮1697))=NaN","reverse_text":"NaN=(((⋣⊺⇮1365)⫥∨⫟(⊺⇮4378⪣⫩))∌↝((⊺⇮1599⋷⊺⇮2889)⊭↱(⊺⇮4676⨸⪁⊺⇮1918)))≝⊿((⊺⇮5303⋾⨃∁⊺⇮1017)⪛(⊺⇮4761⪁⊺⇮1005)⩒⫫(⊺⇮2562⩤)⪟⇏(⊺⇮1397↙⊺⇮1697))","cot":[{"info":"⋣⊺⇮1365=⊺⇮-401215","layer":3},{"info":"⊺⇮4378⪣⫩=⊺⇮13101","layer":3},{"info":"⊺⇮-401215⫥∨⫟⊺⇮13101=NaN","layer":2},{"info":"⊺⇮1599⋷⊺⇮2889=⊺⇮4179","layer":3},{"info":"⊺⇮4676⨸⪁⊺⇮1918=⊺⇮13188","layer":3},{"info":"⊺⇮4179⊭↱⊺⇮13188=⊺⇮18023","layer":2},{"info":"NaN∌↝⊺⇮18023=NaN","layer":1},{"info":"⊺⇮5303⋾⨃∁⊺⇮1017=⊺⇮10330592","layer":3},{"info":"⊺⇮4761⪁⊺⇮1005=NaN","layer":3},{"info":"⊺⇮10330592⪛NaN=NaN","layer":2},{"info":"⊺⇮2562⩤=⊺⇮-2562","layer":3},{"info":"⊺⇮1397↙⊺⇮1697=⊺⇮-5091","layer":3},{"info":"⊺⇮-2562⪟⇏⊺⇮-5091=⊺⇮0","layer":2},{"info":"NaN⩒⫫⊺⇮0=NaN","layer":1},{"info":"NaN≝⊿NaN=NaN","layer":0}]}
{"id":768,"expression_no_base_symbol":"(($2070$⨐$1642$⋥≓≎$4604$⫯⪬∳$1542$)⪕((≀↧⇸$5126$)⫢⨠$1589$⪢$6540$))∳⫺(($4055$⪮%⊝$5528$/$2768$⪒$5952$)⋓(⨮↦↱(⇜⊴$1726$)))","expression":"((⊺⇮2070⨐⊺⇮1642⋥≓≎⊺⇮4604⫯⪬∳⊺⇮1542)⪕((≀↧⇸⊺⇮5126)⫢⨠⊺⇮1589⪢⊺⇮6540))∳⫺((⊺⇮4055⪮%⊝⊺⇮5528/⊺⇮2768⪒⊺⇮5952)⋓(⨮↦↱(⇜⊴⊺⇮1726)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6839,"operation_count":14,"complexity_ratio":488.5,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2070,"base":10},"right_expr":{"type":"numeric_atoms","value":1642,"base":10}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4604,"base":10},"right_expr":{"type":"numeric_atoms","value":1542,"base":10}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":5126,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1589,"base":10},"right_expr":{"type":"numeric_atoms","value":6540,"base":10}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4055,"base":10},"right_expr":{"type":"numeric_atoms","value":5528,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2768,"base":10},"right_expr":{"type":"numeric_atoms","value":5952,"base":10}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1726,"base":10}}}}},"used_operators":["AzXXKTstlj","umQnsF7QlU","Qy55tPpLXF","Noe24qw2ks","d7ASUq0ydm","xlXykHWxX1","ljTHtUsqzn","dWAJyo7jo9","T2fj7uvVaJ","XhwjNDsVaA","IWmyXbctLI","f6k1SAg4EE","sYcpBQ0cFf","XwDhCwWbUn"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","XPYlsWDdGa","23Mk6UjR3U","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"⊺⇮-260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2070","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=1642, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4140","layer":3},{"info":"number node, value=4604","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=4604, right_input=1542, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=21511","layer":3},{"info":"compute binary expreesion, left_input=-4140, right_input=21511, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=5126","layer":4},{"info":"compute unary expreesion, input=5126, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=10252","layer":3},{"info":"number node, value=1589","layer":4},{"info":"number node, value=6540","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=6540, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10252, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"number node, value=4055","layer":4},{"info":"number node, value=5528","layer":4},{"info":"compute binary expreesion, left_input=4055, right_input=5528, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8426","layer":3},{"info":"number node, value=2768","layer":4},{"info":"number node, value=5952","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=5952, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8720","layer":3},{"info":"compute binary expreesion, left_input=8426, right_input=-8720, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1726","layer":4},{"info":"compute unary expreesion, input=1726, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-393622","layer":3},{"info":"compute unary expreesion, input=-393622, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=5892792","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=5892792, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2070⨐⊺⇮1642⋥≓≎⊺⇮4604⫯⪬∳⊺⇮1542)⪕((≀↧⇸⊺⇮5126)⫢⨠⊺⇮1589⪢⊺⇮6540))∳⫺((⊺⇮4055⪮%⊝⊺⇮5528/⊺⇮2768⪒⊺⇮5952)⋓(⨮↦↱(⇜⊴⊺⇮1726)))=⊺⇮-260","reverse_text":"⊺⇮-260=((⊺⇮2070⨐⊺⇮1642⋥≓≎⊺⇮4604⫯⪬∳⊺⇮1542)⪕((≀↧⇸⊺⇮5126)⫢⨠⊺⇮1589⪢⊺⇮6540))∳⫺((⊺⇮4055⪮%⊝⊺⇮5528/⊺⇮2768⪒⊺⇮5952)⋓(⨮↦↱(⇜⊴⊺⇮1726)))","cot":[{"info":"⊺⇮2070⨐⊺⇮1642=⊺⇮-4140","layer":3},{"info":"⊺⇮4604⫯⪬∳⊺⇮1542=⊺⇮21511","layer":3},{"info":"⊺⇮-4140⋥≓≎⊺⇮21511=⊺⇮67","layer":2},{"info":"≀↧⇸⊺⇮5126=⊺⇮10252","layer":3},{"info":"⊺⇮1589⪢⊺⇮6540=NaN","layer":3},{"info":"⊺⇮10252⫢⨠NaN=NaN","layer":2},{"info":"⊺⇮67⪕NaN=⊺⇮935","layer":1},{"info":"⊺⇮4055⪮%⊝⊺⇮5528=⊺⇮8426","layer":3},{"info":"⊺⇮2768⪒⊺⇮5952=⊺⇮-8720","layer":3},{"info":"⊺⇮8426/⊺⇮-8720=⊺⇮-1","layer":2},{"info":"⇜⊴⊺⇮1726=⊺⇮-393622","layer":3},{"info":"⨮↦↱⊺⇮-393622=⊺⇮5892792","layer":2},{"info":"⊺⇮-1⋓⊺⇮5892792=⊺⇮0","layer":1},{"info":"⊺⇮935∳⫺⊺⇮0=⊺⇮-260","layer":0}]}
{"id":769,"expression_no_base_symbol":"(($3559$⫥∨⫟$4860$)⨪↰⇹($7343$+⇶⊼$2090$)⋳⪒(($5589$⫑)⫦⪉$1425$⊢$1582$))⪥(($3897$⩺⪪$1414$∀⋜↑)⩨(($9688$⊟⇱)⫩))","expression":"((⊺⇮3559⫥∨⫟⊺⇮4860)⨪↰⇹(⊺⇮7343+⇶⊼⊺⇮2090)⋳⪒((⊺⇮5589⫑)⫦⪉⊺⇮1425⊢⊺⇮1582))⪥((⊺⇮3897⩺⪪⊺⇮1414∀⋜↑)⩨((⊺⇮9688⊟⇱)⫩))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20212,"operation_count":13,"complexity_ratio":1554.7692307692307,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3559,"base":10},"right_expr":{"type":"numeric_atoms","value":4860,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7343,"base":10},"right_expr":{"type":"numeric_atoms","value":2090,"base":10}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":5589,"base":10}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1425,"base":10},"right_expr":{"type":"numeric_atoms","value":1582,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3897,"base":10},"right_expr":{"type":"numeric_atoms","value":1414,"base":10}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":9688,"base":10}}}}},"used_operators":["QbnwKVWMIQ","12rbrZMWeM","tmPS8pqC7x","KYD54nUTWz","TpPTUOHfaN","wscyQdcy20","CgIo77xlM2","5twsqlHp2o","2DlMacCsIx","KipPnG1M2J","uvdQJvN4PV","6aG7x05OhS","03sUfWo75k"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","dWAJyo7jo9","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3559","layer":4},{"info":"number node, value=4860","layer":4},{"info":"compute binary expreesion, left_input=3559, right_input=4860, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7343","layer":4},{"info":"number node, value=2090","layer":4},{"info":"compute binary expreesion, left_input=7343, right_input=2090, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5589","layer":4},{"info":"compute unary expreesion, input=5589, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=1425","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=1582, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3094","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=-3094, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3058","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3058, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3897","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=3897, right_input=1414, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-40626","layer":3},{"info":"compute unary expreesion, input=-40626, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-122362","layer":2},{"info":"number node, value=9688","layer":4},{"info":"compute unary expreesion, input=9688, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=19692","layer":3},{"info":"compute unary expreesion, input=19692, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-122362, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3559⫥∨⫟⊺⇮4860)⨪↰⇹(⊺⇮7343+⇶⊼⊺⇮2090)⋳⪒((⊺⇮5589⫑)⫦⪉⊺⇮1425⊢⊺⇮1582))⪥((⊺⇮3897⩺⪪⊺⇮1414∀⋜↑)⩨((⊺⇮9688⊟⇱)⫩))=NaN","reverse_text":"NaN=((⊺⇮3559⫥∨⫟⊺⇮4860)⨪↰⇹(⊺⇮7343+⇶⊼⊺⇮2090)⋳⪒((⊺⇮5589⫑)⫦⪉⊺⇮1425⊢⊺⇮1582))⪥((⊺⇮3897⩺⪪⊺⇮1414∀⋜↑)⩨((⊺⇮9688⊟⇱)⫩))","cot":[{"info":"⊺⇮3559⫥∨⫟⊺⇮4860=NaN","layer":3},{"info":"⊺⇮7343+⇶⊼⊺⇮2090=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"⊺⇮5589⫑=⊺⇮3979","layer":3},{"info":"⊺⇮1425⊢⊺⇮1582=⊺⇮-3094","layer":3},{"info":"⊺⇮3979⫦⪉⊺⇮-3094=⊺⇮-3058","layer":2},{"info":"NaN⋳⪒⊺⇮-3058=NaN","layer":1},{"info":"⊺⇮3897⩺⪪⊺⇮1414=⊺⇮-40626","layer":3},{"info":"⊺⇮-40626∀⋜↑=⊺⇮-122362","layer":2},{"info":"⊺⇮9688⊟⇱=⊺⇮19692","layer":3},{"info":"⊺⇮19692⫩=NaN","layer":2},{"info":"⊺⇮-122362⩨NaN=NaN","layer":1},{"info":"NaN⪥NaN=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"($1066$⫢⨠$1728$≥⨤⩑(∥⊫$3109$))⨑⩅≇(($1090$⪒⊣⊆$1271$)⪎↠($8587$⪪$6680$))≁((∟⋨$4583$)⋓$3165$⋹⋡⊁$1580$⨔≚≋($1199$%$8404$∽$1099$+⇶⊼$1914$))","expression":"(⊺⇮1066⫢⨠⊺⇮1728≥⨤⩑(∥⊫⊺⇮3109))⨑⩅≇((⊺⇮1090⪒⊣⊆⊺⇮1271)⪎↠(⊺⇮8587⪪⊺⇮6680))≁((∟⋨⊺⇮4583)⋓⊺⇮3165⋹⋡⊁⊺⇮1580⨔≚≋(⊺⇮1199%⊺⇮8404∽⊺⇮1099+⇶⊼⊺⇮1914))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":93419,"operation_count":15,"complexity_ratio":6227.933333333333,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1066,"base":10},"right_expr":{"type":"numeric_atoms","value":1728,"base":10}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3109,"base":10}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1090,"base":10},"right_expr":{"type":"numeric_atoms","value":1271,"base":10}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":8587,"base":10},"right_expr":{"type":"numeric_atoms","value":6680,"base":10}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":4583,"base":10}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3165,"base":10},"right_expr":{"type":"numeric_atoms","value":1580,"base":10}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1199,"base":10},"right_expr":{"type":"numeric_atoms","value":8404,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1099,"base":10},"right_expr":{"type":"numeric_atoms","value":1914,"base":10}}}}},"used_operators":["8N2wDY1A35","h92wMvzauj","gJLn6v0xnP","xlXykHWxX1","P8v4zCKN1o","3tVxb0NHM4","eRqsBgTDFp","xD69zh8xqp","Z57zeUYC9z","T2fj7uvVaJ","ctOc4cKSDt","As8RqfVLgs","y4ImoPnbV5","k8jYdgA6NY","TpPTUOHfaN"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","W4YGzv6Whe","FU0Cs4j7VP","JclMnS0uGI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","tmPS8pqC7x","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1066","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1728, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3109","layer":4},{"info":"compute unary expreesion, input=3109, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3977","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3977, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1090","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=1271, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2180","layer":3},{"info":"number node, value=8587","layer":4},{"info":"number node, value=6680","layer":4},{"info":"compute binary expreesion, left_input=8587, right_input=6680, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1292726","layer":3},{"info":"compute binary expreesion, left_input=2180, right_input=-1292726, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3702","layer":1},{"info":"number node, value=4583","layer":4},{"info":"compute unary expreesion, input=4583, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-4099","layer":3},{"info":"number node, value=3165","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=3165, right_input=1580, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2330","layer":3},{"info":"compute binary expreesion, left_input=-4099, right_input=2330, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=8404","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=8404, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1199","layer":3},{"info":"number node, value=1099","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1914, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1199, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3702, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1066⫢⨠⊺⇮1728≥⨤⩑(∥⊫⊺⇮3109))⨑⩅≇((⊺⇮1090⪒⊣⊆⊺⇮1271)⪎↠(⊺⇮8587⪪⊺⇮6680))≁((∟⋨⊺⇮4583)⋓⊺⇮3165⋹⋡⊁⊺⇮1580⨔≚≋(⊺⇮1199%⊺⇮8404∽⊺⇮1099+⇶⊼⊺⇮1914))=NaN","reverse_text":"NaN=(⊺⇮1066⫢⨠⊺⇮1728≥⨤⩑(∥⊫⊺⇮3109))⨑⩅≇((⊺⇮1090⪒⊣⊆⊺⇮1271)⪎↠(⊺⇮8587⪪⊺⇮6680))≁((∟⋨⊺⇮4583)⋓⊺⇮3165⋹⋡⊁⊺⇮1580⨔≚≋(⊺⇮1199%⊺⇮8404∽⊺⇮1099+⇶⊼⊺⇮1914))","cot":[{"info":"⊺⇮1066⫢⨠⊺⇮1728=⊺⇮160","layer":3},{"info":"∥⊫⊺⇮3109=⊺⇮3977","layer":3},{"info":"⊺⇮160≥⨤⩑⊺⇮3977=⊺⇮1234","layer":2},{"info":"⊺⇮1090⪒⊣⊆⊺⇮1271=⊺⇮2180","layer":3},{"info":"⊺⇮8587⪪⊺⇮6680=⊺⇮-1292726","layer":3},{"info":"⊺⇮2180⪎↠⊺⇮-1292726=⊺⇮160","layer":2},{"info":"⊺⇮1234⨑⩅≇⊺⇮160=⊺⇮-3702","layer":1},{"info":"∟⋨⊺⇮4583=⊺⇮-4099","layer":3},{"info":"⊺⇮3165⋹⋡⊁⊺⇮1580=⊺⇮2330","layer":3},{"info":"⊺⇮-4099⋓⊺⇮2330=⊺⇮0","layer":2},{"info":"⊺⇮1199%⊺⇮8404=⊺⇮1199","layer":3},{"info":"⊺⇮1099+⇶⊼⊺⇮1914=NaN","layer":3},{"info":"⊺⇮1199∽NaN=NaN","layer":2},{"info":"⊺⇮0⨔≚≋NaN=NaN","layer":1},{"info":"⊺⇮-3702≁NaN=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"($2279$⊾⪯⋞$2026$)⩚⊴⇥($2625$⊋≦⊧$2379$)≭($6013$⨂≜$6163$⫸⊐$1674$⨒$5294$)+(($4622$⊚⫡⫭)⪒$3775$⫉⨲⊜$2656$)⊬⨰(⇘($5680$⊎←↗))","expression":"(⊺⇮2279⊾⪯⋞⊺⇮2026)⩚⊴⇥(⊺⇮2625⊋≦⊧⊺⇮2379)≭(⊺⇮6013⨂≜⊺⇮6163⫸⊐⊺⇮1674⨒⊺⇮5294)+((⊺⇮4622⊚⫡⫭)⪒⊺⇮3775⫉⨲⊜⊺⇮2656)⊬⨰(⇘(⊺⇮5680⊎←↗))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27618,"operation_count":14,"complexity_ratio":1972.7142857142858,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2279,"base":10},"right_expr":{"type":"numeric_atoms","value":2026,"base":10}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2625,"base":10},"right_expr":{"type":"numeric_atoms","value":2379,"base":10}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6013,"base":10},"right_expr":{"type":"numeric_atoms","value":6163,"base":10}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1674,"base":10},"right_expr":{"type":"numeric_atoms","value":5294,"base":10}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":4622,"base":10}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3775,"base":10},"right_expr":{"type":"numeric_atoms","value":2656,"base":10}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":5680,"base":10}}}}},"used_operators":["W4YGzv6Whe","rxpJgHHUmx","NTOWxs364D","HK0tfVPux8","oRDoc9rAEX","mqXw5SEYmG","k1SHOSEABc","y75s1iXyHd","s3Fd5m9Dh2","f6k1SAg4EE","SpZWOsLKZJ","WhqkvtTD3t","MGuIdZPyUC","dwb5p0fa6d"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","zVYPLywUTj","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","sdazOOVcIp","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2279","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=2026, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3626","layer":3},{"info":"number node, value=2625","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=2625, right_input=2379, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-4518","layer":3},{"info":"compute binary expreesion, left_input=3626, right_input=-4518, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=771","layer":2},{"info":"number node, value=6013","layer":4},{"info":"number node, value=6163","layer":4},{"info":"compute binary expreesion, left_input=6013, right_input=6163, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1674","layer":4},{"info":"number node, value=5294","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=5294, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-9672","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9672, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=771, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=4622","layer":4},{"info":"compute unary expreesion, input=4622, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-8318","layer":3},{"info":"number node, value=3775","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=3775, right_input=2656, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8318, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=8318","layer":2},{"info":"number node, value=5680","layer":4},{"info":"compute unary expreesion, input=5680, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-10675","layer":3},{"info":"compute unary expreesion, input=-10675, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=8318, right_input=-inf, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2279⊾⪯⋞⊺⇮2026)⩚⊴⇥(⊺⇮2625⊋≦⊧⊺⇮2379)≭(⊺⇮6013⨂≜⊺⇮6163⫸⊐⊺⇮1674⨒⊺⇮5294)+((⊺⇮4622⊚⫡⫭)⪒⊺⇮3775⫉⨲⊜⊺⇮2656)⊬⨰(⇘(⊺⇮5680⊎←↗))=NaN","reverse_text":"NaN=(⊺⇮2279⊾⪯⋞⊺⇮2026)⩚⊴⇥(⊺⇮2625⊋≦⊧⊺⇮2379)≭(⊺⇮6013⨂≜⊺⇮6163⫸⊐⊺⇮1674⨒⊺⇮5294)+((⊺⇮4622⊚⫡⫭)⪒⊺⇮3775⫉⨲⊜⊺⇮2656)⊬⨰(⇘(⊺⇮5680⊎←↗))","cot":[{"info":"⊺⇮2279⊾⪯⋞⊺⇮2026=⊺⇮3626","layer":3},{"info":"⊺⇮2625⊋≦⊧⊺⇮2379=⊺⇮-4518","layer":3},{"info":"⊺⇮3626⩚⊴⇥⊺⇮-4518=⊺⇮771","layer":2},{"info":"⊺⇮6013⨂≜⊺⇮6163=NaN","layer":3},{"info":"⊺⇮1674⨒⊺⇮5294=⊺⇮-9672","layer":3},{"info":"NaN⫸⊐⊺⇮-9672=NaN","layer":2},{"info":"⊺⇮771≭NaN=NaN","layer":1},{"info":"⊺⇮4622⊚⫡⫭=⊺⇮-8318","layer":3},{"info":"⊺⇮3775⫉⨲⊜⊺⇮2656=⊺⇮0","layer":3},{"info":"⊺⇮-8318⪒⊺⇮0=⊺⇮8318","layer":2},{"info":"⊺⇮5680⊎←↗=⊺⇮-10675","layer":3},{"info":"⇘⊺⇮-10675=-Inf","layer":2},{"info":"⊺⇮8318⊬⨰-Inf=-Inf","layer":1},{"info":"NaN+-Inf=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"(($2349$↼⊘⨖$4593$)⨚($5042$↓⨍⋜)⪉⨛((≦∁$2106$)⊓⋫))⩌⋺(⫯((↣≠⋷$1946$)%($1492$≣⋋)))","expression":"((⊺⇮2349↼⊘⨖⊺⇮4593)⨚(⊺⇮5042↓⨍⋜)⪉⨛((≦∁⊺⇮2106)⊓⋫))⩌⋺(⫯((↣≠⋷⊺⇮1946)%(⊺⇮1492≣⋋)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":902,"operation_count":11,"complexity_ratio":82.0,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2349,"base":10},"right_expr":{"type":"numeric_atoms","value":4593,"base":10}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":5042,"base":10}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2106,"base":10}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1946,"base":10}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1492,"base":10}}}}},"used_operators":["g7Hmc5v1ko","EWw2JM7wp4","nREPSIbpBE","bPywburJMS","3DVzLFNsE9","IqGBaFP0uj","9ICcGScMcE","H6BK1Evt7c","k8jYdgA6NY","Asc51vEJeQ","Tcnh7f0tEr"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2349","layer":4},{"info":"number node, value=4593","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=4593, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8964","layer":3},{"info":"number node, value=5042","layer":4},{"info":"compute unary expreesion, input=5042, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=8964, right_input=6590, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7498","layer":2},{"info":"number node, value=2106","layer":4},{"info":"compute unary expreesion, input=2106, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2106","layer":3},{"info":"compute unary expreesion, input=2106, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-2234","layer":2},{"info":"compute binary expreesion, left_input=-7498, right_input=-2234, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-15577","layer":1},{"info":"number node, value=1946","layer":4},{"info":"compute unary expreesion, input=1946, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-15577, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2349↼⊘⨖⊺⇮4593)⨚(⊺⇮5042↓⨍⋜)⪉⨛((≦∁⊺⇮2106)⊓⋫))⩌⋺(⫯((↣≠⋷⊺⇮1946)%(⊺⇮1492≣⋋)))=NaN","reverse_text":"NaN=((⊺⇮2349↼⊘⨖⊺⇮4593)⨚(⊺⇮5042↓⨍⋜)⪉⨛((≦∁⊺⇮2106)⊓⋫))⩌⋺(⫯((↣≠⋷⊺⇮1946)%(⊺⇮1492≣⋋)))","cot":[{"info":"⊺⇮2349↼⊘⨖⊺⇮4593=⊺⇮8964","layer":3},{"info":"⊺⇮5042↓⨍⋜=⊺⇮6590","layer":3},{"info":"⊺⇮8964⨚⊺⇮6590=⊺⇮-7498","layer":2},{"info":"≦∁⊺⇮2106=⊺⇮2106","layer":3},{"info":"⊺⇮2106⊓⋫=⊺⇮-2234","layer":2},{"info":"⊺⇮-7498⪉⨛⊺⇮-2234=⊺⇮-15577","layer":1},{"info":"↣≠⋷⊺⇮1946=NaN","layer":3},{"info":"⊺⇮1492≣⋋=⊺⇮0","layer":3},{"info":"NaN%⊺⇮0=NaN","layer":2},{"info":"⫯NaN=NaN","layer":1},{"info":"⊺⇮-15577⩌⋺NaN=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"(↸⊣(⫖→$4506$⊬⨰$4400$))⊨($4371$⫯⪬∳$2275$⊲⩕⊾($2819$⊾⪯⋞$3054$))⇡⇂(($1768$⊭↱$1384$)≓∲$1152$⋥⋵⩄$1847$)","expression":"(↸⊣(⫖→⊺⇮4506⊬⨰⊺⇮4400))⊨(⊺⇮4371⫯⪬∳⊺⇮2275⊲⩕⊾(⊺⇮2819⊾⪯⋞⊺⇮3054))⇡⇂((⊺⇮1768⊭↱⊺⇮1384)≓∲⊺⇮1152⋥⋵⩄⊺⇮1847)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23061,"operation_count":11,"complexity_ratio":2096.4545454545455,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4506,"base":10},"right_expr":{"type":"numeric_atoms","value":4400,"base":10}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4371,"base":10},"right_expr":{"type":"numeric_atoms","value":2275,"base":10}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2819,"base":10},"right_expr":{"type":"numeric_atoms","value":3054,"base":10}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1768,"base":10},"right_expr":{"type":"numeric_atoms","value":1384,"base":10}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1152,"base":10},"right_expr":{"type":"numeric_atoms","value":1847,"base":10}}}}},"used_operators":["vg4gO5BX6G","wztAlM01eG","U4ylXWHChL","s3Fd5m9Dh2","UMwdvZNt44","DmTXOeWf9t","d7ASUq0ydm","HK0tfVPux8","s1XTVnmDOJ","COABgblf1C","7t3wd0Fuz7"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4506","layer":4},{"info":"number node, value=4400","layer":4},{"info":"compute binary expreesion, left_input=4506, right_input=4400, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=21050","layer":3},{"info":"compute unary expreesion, input=21050, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=110","layer":1},{"info":"number node, value=4371","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=2275, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=19613","layer":3},{"info":"number node, value=2819","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=2819, right_input=3054, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5682","layer":3},{"info":"compute binary expreesion, left_input=19613, right_input=5682, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-367258","layer":2},{"info":"number node, value=1768","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=1384, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-763","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=1847, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-763, right_input=113, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-367258, right_input=67, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=110, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↸⊣(⫖→⊺⇮4506⊬⨰⊺⇮4400))⊨(⊺⇮4371⫯⪬∳⊺⇮2275⊲⩕⊾(⊺⇮2819⊾⪯⋞⊺⇮3054))⇡⇂((⊺⇮1768⊭↱⊺⇮1384)≓∲⊺⇮1152⋥⋵⩄⊺⇮1847)=NaN","reverse_text":"NaN=(↸⊣(⫖→⊺⇮4506⊬⨰⊺⇮4400))⊨(⊺⇮4371⫯⪬∳⊺⇮2275⊲⩕⊾(⊺⇮2819⊾⪯⋞⊺⇮3054))⇡⇂((⊺⇮1768⊭↱⊺⇮1384)≓∲⊺⇮1152⋥⋵⩄⊺⇮1847)","cot":[{"info":"⊺⇮4506⊬⨰⊺⇮4400=⊺⇮21050","layer":3},{"info":"⫖→⊺⇮21050=⊺⇮177","layer":2},{"info":"↸⊣⊺⇮177=⊺⇮110","layer":1},{"info":"⊺⇮4371⫯⪬∳⊺⇮2275=⊺⇮19613","layer":3},{"info":"⊺⇮2819⊾⪯⋞⊺⇮3054=⊺⇮5682","layer":3},{"info":"⊺⇮19613⊲⩕⊾⊺⇮5682=⊺⇮-367258","layer":2},{"info":"⊺⇮1768⊭↱⊺⇮1384=⊺⇮-763","layer":3},{"info":"⊺⇮1152⋥⋵⩄⊺⇮1847=⊺⇮113","layer":3},{"info":"⊺⇮-763≓∲⊺⇮113=⊺⇮67","layer":2},{"info":"⊺⇮-367258⇡⇂⊺⇮67=NaN","layer":1},{"info":"⊺⇮110⊨NaN=NaN","layer":0}]}
{"id":774,"expression_no_base_symbol":"(($1821$≳⇉$1450$)⨥⫆($4400$⇮⋭$4265$)⩵∡(⊆⋠($7226$∼$5077$)))⪓⨏","expression":"((⊺⇮1821≳⇉⊺⇮1450)⨥⫆(⊺⇮4400⇮⋭⊺⇮4265)⩵∡(⊆⋠(⊺⇮7226∼⊺⇮5077)))⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32232993,"operation_count":7,"complexity_ratio":4604713.285714285,"tree":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1821,"base":10},"right_expr":{"type":"numeric_atoms","value":1450,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4400,"base":10},"right_expr":{"type":"numeric_atoms","value":4265,"base":10}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7226,"base":10},"right_expr":{"type":"numeric_atoms","value":5077,"base":10}}}}},"used_operators":["4X9JU4Jbn6","Y7wcNGrDQJ","yXekIHxTD4","V0kx6qeWkN","vkpjKywKVM","EBhcHTkKd8","DyGG3AbaNP"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1821","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=1450, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=4400","layer":4},{"info":"number node, value=4265","layer":4},{"info":"compute binary expreesion, left_input=4400, right_input=4265, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=7226","layer":4},{"info":"number node, value=5077","layer":4},{"info":"compute binary expreesion, left_input=7226, right_input=5077, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1821≳⇉⊺⇮1450)⨥⫆(⊺⇮4400⇮⋭⊺⇮4265)⩵∡(⊆⋠(⊺⇮7226∼⊺⇮5077)))⪓⨏=NaN","reverse_text":"NaN=((⊺⇮1821≳⇉⊺⇮1450)⨥⫆(⊺⇮4400⇮⋭⊺⇮4265)⩵∡(⊆⋠(⊺⇮7226∼⊺⇮5077)))⪓⨏","cot":[{"info":"⊺⇮1821≳⇉⊺⇮1450=NaN","layer":3},{"info":"⊺⇮4400⇮⋭⊺⇮4265=⊺⇮-473","layer":3},{"info":"NaN⨥⫆⊺⇮-473=NaN","layer":2},{"info":"⊺⇮7226∼⊺⇮5077=NaN","layer":3},{"info":"⊆⋠NaN=⊺⇮3979","layer":2},{"info":"NaN⩵∡⊺⇮3979=NaN","layer":1},{"info":"NaN⪓⨏=NaN","layer":0}]}
{"id":775,"expression_no_base_symbol":"≸≮((⇐($1037$∕⩚$1533$))⨻⩈⩔(($1126$⩼⇪↪$2736$)⫽⇹≛))","expression":"≸≮((⇐(⊺⇮1037∕⩚⊺⇮1533))⨻⩈⩔((⊺⇮1126⩼⇪↪⊺⇮2736)⫽⇹≛))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1223,"operation_count":6,"complexity_ratio":203.83333333333334,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1037,"base":10},"right_expr":{"type":"numeric_atoms","value":1533,"base":10}}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1126,"base":10},"right_expr":{"type":"numeric_atoms","value":2736,"base":10}}}}},"used_operators":["AljMvE3RRm","nEsXyWgiOK","nmZMaaE0Q9","z9ffQ9n5Zr","NNaDxxp6OQ","ocnLzx9CaJ"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⊺⇮-958","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1533, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1040","layer":3},{"info":"compute unary expreesion, input=-1040, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":2},{"info":"number node, value=1126","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=2736, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-17683","layer":3},{"info":"compute unary expreesion, input=-17683, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"compute binary expreesion, left_input=-5016, right_input=272, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute unary expreesion, input=-174, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-958","layer":0}],"base":10,"result_base":10,"text":"≸≮((⇐(⊺⇮1037∕⩚⊺⇮1533))⨻⩈⩔((⊺⇮1126⩼⇪↪⊺⇮2736)⫽⇹≛))=⊺⇮-958","reverse_text":"⊺⇮-958=≸≮((⇐(⊺⇮1037∕⩚⊺⇮1533))⨻⩈⩔((⊺⇮1126⩼⇪↪⊺⇮2736)⫽⇹≛))","cot":[{"info":"⊺⇮1037∕⩚⊺⇮1533=⊺⇮-1040","layer":3},{"info":"⇐⊺⇮-1040=⊺⇮-5016","layer":2},{"info":"⊺⇮1126⩼⇪↪⊺⇮2736=⊺⇮-17683","layer":3},{"info":"⊺⇮-17683⫽⇹≛=⊺⇮272","layer":2},{"info":"⊺⇮-5016⨻⩈⩔⊺⇮272=⊺⇮-174","layer":1},{"info":"≸≮⊺⇮-174=⊺⇮-958","layer":0}]}
{"id":776,"expression_no_base_symbol":"(≸(⫓⪴(⨈⫕$1230$)))≳⇉(⨰⫟⨤$1338$≎⪠$1222$)⊔($2493$+⪬∐$6016$)⋹⋡⊁($1518$⊿∆)","expression":"(≸(⫓⪴(⨈⫕⊺⇮1230)))≳⇉(⨰⫟⨤⊺⇮1338≎⪠⊺⇮1222)⊔(⊺⇮2493+⪬∐⊺⇮6016)⋹⋡⊁(⊺⇮1518⊿∆)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":97066,"operation_count":10,"complexity_ratio":9706.6,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1230,"base":10}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1338,"base":10},"right_expr":{"type":"numeric_atoms","value":1222,"base":10}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2493,"base":10},"right_expr":{"type":"numeric_atoms","value":6016,"base":10}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1518,"base":10}}}}},"used_operators":["V0kx6qeWkN","eOf03JbCpp","eLxqMNBOBk","megm06wKyl","E4l6HwMY31","Tw270M8GLb","aNhz54LH3e","As8RqfVLgs","2GS7woTJqF","fv3ZujxkQL"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","g55IO6H4Gj","D4vGDi5EA2","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1230","layer":4},{"info":"compute unary expreesion, input=1230, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=441","layer":2},{"info":"compute unary expreesion, input=441, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"number node, value=1338","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=1222, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2493","layer":4},{"info":"number node, value=6016","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=6016, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7479","layer":3},{"info":"number node, value=1518","layer":4},{"info":"compute unary expreesion, input=1518, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-3157","layer":3},{"info":"compute binary expreesion, left_input=-7479, right_input=-3157, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=119402","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=119402, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=58, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≸(⫓⪴(⨈⫕⊺⇮1230)))≳⇉(⨰⫟⨤⊺⇮1338≎⪠⊺⇮1222)⊔(⊺⇮2493+⪬∐⊺⇮6016)⋹⋡⊁(⊺⇮1518⊿∆)=NaN","reverse_text":"NaN=(≸(⫓⪴(⨈⫕⊺⇮1230)))≳⇉(⨰⫟⨤⊺⇮1338≎⪠⊺⇮1222)⊔(⊺⇮2493+⪬∐⊺⇮6016)⋹⋡⊁(⊺⇮1518⊿∆)","cot":[{"info":"⨈⫕⊺⇮1230=⊺⇮-21","layer":3},{"info":"⫓⪴⊺⇮-21=⊺⇮441","layer":2},{"info":"≸⊺⇮441=⊺⇮58","layer":1},{"info":"⊺⇮1338≎⪠⊺⇮1222=⊺⇮19558","layer":3},{"info":"⨰⫟⨤⊺⇮19558=NaN","layer":2},{"info":"⊺⇮2493+⪬∐⊺⇮6016=⊺⇮-7479","layer":3},{"info":"⊺⇮1518⊿∆=⊺⇮-3157","layer":3},{"info":"⊺⇮-7479⋹⋡⊁⊺⇮-3157=⊺⇮119402","layer":2},{"info":"NaN⊔⊺⇮119402=NaN","layer":1},{"info":"⊺⇮58≳⇉NaN=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"⇋↷(⋎⨆(∡$1640$)≁($1274$⋘⨑⨽))","expression":"⇋↷(⋎⨆(∡⊺⇮1640)≁(⊺⇮1274⋘⨑⨽))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":128,"operation_count":5,"complexity_ratio":25.6,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1640,"base":10}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":1274,"base":10}}}}},"used_operators":["SWo3A1KBJH","E64sFOc4tB","8N2wDY1A35","pRsWfj4Fpp","WmT3o8z6ya"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1640","layer":4},{"info":"compute unary expreesion, input=1640, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1640","layer":3},{"info":"number node, value=1274","layer":4},{"info":"compute unary expreesion, input=1274, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=7153","layer":3},{"info":"compute binary expreesion, left_input=-1640, right_input=7153, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=158471","layer":2},{"info":"compute unary expreesion, input=158471, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⇋↷(⋎⨆(∡⊺⇮1640)≁(⊺⇮1274⋘⨑⨽))=⊺⇮0","reverse_text":"⊺⇮0=⇋↷(⋎⨆(∡⊺⇮1640)≁(⊺⇮1274⋘⨑⨽))","cot":[{"info":"∡⊺⇮1640=⊺⇮-1640","layer":3},{"info":"⊺⇮1274⋘⨑⨽=⊺⇮7153","layer":3},{"info":"⊺⇮-1640≁⊺⇮7153=⊺⇮158471","layer":2},{"info":"⋎⨆⊺⇮158471=⊺⇮0","layer":1},{"info":"⇋↷⊺⇮0=⊺⇮0","layer":0}]}
{"id":778,"expression_no_base_symbol":"(⨆≐≲(($8149$⪛$2598$)↓$4358$↢$1088$))⇩","expression":"(⨆≐≲((⊺⇮8149⪛⊺⇮2598)↓⊺⇮4358↢⊺⇮1088))⇩","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":54667,"operation_count":5,"complexity_ratio":10933.4,"tree":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8149,"base":10},"right_expr":{"type":"numeric_atoms","value":2598,"base":10}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4358,"base":10},"right_expr":{"type":"numeric_atoms","value":1088,"base":10}}}}},"used_operators":["vRio1gEz1j","Bi9z9uYZqW","Af076pWI7l","uFcxV4UQCh","WR6HLWljOP"],"dependent_operators":["W4YGzv6Whe","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⊺⇮-168455","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8149","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=8149, right_input=2598, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=355","layer":3},{"info":"number node, value=4358","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=4358, right_input=1088, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3874","layer":3},{"info":"compute binary expreesion, left_input=355, right_input=3874, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"compute unary expreesion, input=-168548, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-168455","layer":0}],"base":10,"result_base":10,"text":"(⨆≐≲((⊺⇮8149⪛⊺⇮2598)↓⊺⇮4358↢⊺⇮1088))⇩=⊺⇮-168455","reverse_text":"⊺⇮-168455=(⨆≐≲((⊺⇮8149⪛⊺⇮2598)↓⊺⇮4358↢⊺⇮1088))⇩","cot":[{"info":"⊺⇮8149⪛⊺⇮2598=⊺⇮355","layer":3},{"info":"⊺⇮4358↢⊺⇮1088=⊺⇮3874","layer":3},{"info":"⊺⇮355↓⊺⇮3874=⊺⇮-134","layer":2},{"info":"⨆≐≲⊺⇮-134=⊺⇮-168548","layer":1},{"info":"⊺⇮-168548⇩=⊺⇮-168455","layer":0}]}
{"id":779,"expression_no_base_symbol":"(($1820$⫢⨠$4193$)⪥$6540$⋹⋡⊁$2514$⫢⨠(⨮↦↱($2482$⇤$1910$)))∀⇚≩($1829$⊉↱≁$1090$⫲≸⪮$1387$⨥⫆$4795$⊋≦⊧(($2567$↡⊰⫅$8154$)∠↢$5697$↳≱$1959$))","expression":"((⊺⇮1820⫢⨠⊺⇮4193)⪥⊺⇮6540⋹⋡⊁⊺⇮2514⫢⨠(⨮↦↱(⊺⇮2482⇤⊺⇮1910)))∀⇚≩(⊺⇮1829⊉↱≁⊺⇮1090⫲≸⪮⊺⇮1387⨥⫆⊺⇮4795⊋≦⊧((⊺⇮2567↡⊰⫅⊺⇮8154)∠↢⊺⇮5697↳≱⊺⇮1959))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":189893,"operation_count":14,"complexity_ratio":13563.785714285714,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1820,"base":10},"right_expr":{"type":"numeric_atoms","value":4193,"base":10}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6540,"base":10},"right_expr":{"type":"numeric_atoms","value":2514,"base":10}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2482,"base":10},"right_expr":{"type":"numeric_atoms","value":1910,"base":10}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1829,"base":10},"right_expr":{"type":"numeric_atoms","value":1090,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1387,"base":10},"right_expr":{"type":"numeric_atoms","value":4795,"base":10}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2567,"base":10},"right_expr":{"type":"numeric_atoms","value":8154,"base":10}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5697,"base":10},"right_expr":{"type":"numeric_atoms","value":1959,"base":10}}}}},"used_operators":["LRNGc0VcxI","xlXykHWxX1","QbnwKVWMIQ","As8RqfVLgs","sYcpBQ0cFf","YSKBFp38Pu","oRDoc9rAEX","P3lXMJvFrc","w2P8NbNXyL","yXekIHxTD4","KbjG8mgYpV","VCtxkLNOzz","JwTKLfZU96"],"dependent_operators":["X99M06cbEe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1820","layer":4},{"info":"number node, value=4193","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=4193, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=6540","layer":4},{"info":"number node, value=2514","layer":4},{"info":"compute binary expreesion, left_input=6540, right_input=2514, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3264","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3264, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=5292","layer":2},{"info":"number node, value=2482","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=1910, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-19112","layer":3},{"info":"compute unary expreesion, input=-19112, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=275142","layer":2},{"info":"compute binary expreesion, left_input=5292, right_input=275142, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=1829","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=1090, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=11698","layer":3},{"info":"number node, value=1387","layer":4},{"info":"number node, value=4795","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=4795, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9466","layer":3},{"info":"compute binary expreesion, left_input=11698, right_input=9466, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=11698","layer":2},{"info":"number node, value=2567","layer":4},{"info":"number node, value=8154","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=8154, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=16308","layer":3},{"info":"number node, value=5697","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=5697, right_input=1959, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=16308, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-64150","layer":2},{"info":"compute binary expreesion, left_input=11698, right_input=-64150, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=128540","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=128540, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1820⫢⨠⊺⇮4193)⪥⊺⇮6540⋹⋡⊁⊺⇮2514⫢⨠(⨮↦↱(⊺⇮2482⇤⊺⇮1910)))∀⇚≩(⊺⇮1829⊉↱≁⊺⇮1090⫲≸⪮⊺⇮1387⨥⫆⊺⇮4795⊋≦⊧((⊺⇮2567↡⊰⫅⊺⇮8154)∠↢⊺⇮5697↳≱⊺⇮1959))=NaN","reverse_text":"NaN=((⊺⇮1820⫢⨠⊺⇮4193)⪥⊺⇮6540⋹⋡⊁⊺⇮2514⫢⨠(⨮↦↱(⊺⇮2482⇤⊺⇮1910)))∀⇚≩(⊺⇮1829⊉↱≁⊺⇮1090⫲≸⪮⊺⇮1387⨥⫆⊺⇮4795⊋≦⊧((⊺⇮2567↡⊰⫅⊺⇮8154)∠↢⊺⇮5697↳≱⊺⇮1959))","cot":[{"info":"⊺⇮1820⫢⨠⊺⇮4193=⊺⇮160","layer":3},{"info":"⊺⇮6540⋹⋡⊁⊺⇮2514=⊺⇮3264","layer":3},{"info":"⊺⇮160⪥⊺⇮3264=⊺⇮5292","layer":2},{"info":"⊺⇮2482⇤⊺⇮1910=⊺⇮-19112","layer":3},{"info":"⨮↦↱⊺⇮-19112=⊺⇮275142","layer":2},{"info":"⊺⇮5292⫢⨠⊺⇮275142=⊺⇮160","layer":1},{"info":"⊺⇮1829⊉↱≁⊺⇮1090=⊺⇮11698","layer":3},{"info":"⊺⇮1387⨥⫆⊺⇮4795=⊺⇮9466","layer":3},{"info":"⊺⇮11698⫲≸⪮⊺⇮9466=⊺⇮11698","layer":2},{"info":"⊺⇮2567↡⊰⫅⊺⇮8154=⊺⇮16308","layer":3},{"info":"⊺⇮5697↳≱⊺⇮1959=⊺⇮0","layer":3},{"info":"⊺⇮16308∠↢⊺⇮0=⊺⇮-64150","layer":2},{"info":"⊺⇮11698⊋≦⊧⊺⇮-64150=⊺⇮128540","layer":1},{"info":"⊺⇮160∀⇚≩⊺⇮128540=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"⊑($1477$⊨$4288$⊨(⇖$3860$)⪭≯($3643$↠)⫣⪄⊒($1594$⇤$2656$))","expression":"⊑(⊺⇮1477⊨⊺⇮4288⊨(⇖⊺⇮3860)⪭≯(⊺⇮3643↠)⫣⪄⊒(⊺⇮1594⇤⊺⇮2656))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":707,"operation_count":8,"complexity_ratio":88.375,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1477,"base":10},"right_expr":{"type":"numeric_atoms","value":4288,"base":10}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":3860,"base":10}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":3643,"base":10}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1594,"base":10},"right_expr":{"type":"numeric_atoms","value":2656,"base":10}}}}},"used_operators":["IkUmn0D7oy","XAx5wpdLa6","vg4gO5BX6G","tfWHHpNKUN","RabNbG55vr","LBdsKIvxzf","YSKBFp38Pu"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","2DQ55sFlQl","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⊺⇮192","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1477","layer":4},{"info":"number node, value=4288","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=4288, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6939","layer":3},{"info":"number node, value=3860","layer":4},{"info":"compute unary expreesion, input=3860, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=6939, right_input=160, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=28787","layer":2},{"info":"number node, value=3643","layer":4},{"info":"compute unary expreesion, input=3643, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=1594","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=2656, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-18402","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-18402, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=28787, right_input=160, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":10,"result_base":10,"text":"⊑(⊺⇮1477⊨⊺⇮4288⊨(⇖⊺⇮3860)⪭≯(⊺⇮3643↠)⫣⪄⊒(⊺⇮1594⇤⊺⇮2656))=⊺⇮192","reverse_text":"⊺⇮192=⊑(⊺⇮1477⊨⊺⇮4288⊨(⇖⊺⇮3860)⪭≯(⊺⇮3643↠)⫣⪄⊒(⊺⇮1594⇤⊺⇮2656))","cot":[{"info":"⊺⇮1477⊨⊺⇮4288=⊺⇮6939","layer":3},{"info":"⇖⊺⇮3860=⊺⇮160","layer":3},{"info":"⊺⇮6939⊨⊺⇮160=⊺⇮28787","layer":2},{"info":"⊺⇮3643↠=⊺⇮-447","layer":3},{"info":"⊺⇮1594⇤⊺⇮2656=⊺⇮-18402","layer":3},{"info":"⊺⇮-447⫣⪄⊒⊺⇮-18402=⊺⇮160","layer":2},{"info":"⊺⇮28787⪭≯⊺⇮160=NaN","layer":1},{"info":"⊑NaN=⊺⇮192","layer":0}]}
{"id":781,"expression_no_base_symbol":"(($2607$∴≳≥)⫰⋱$1608$⪍↜⋙$2591$⊘)⊭∹↮","expression":"((⊺⇮2607∴≳≥)⫰⋱⊺⇮1608⪍↜⋙⊺⇮2591⊘)⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":48,"operation_count":5,"complexity_ratio":9.6,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":2607,"base":10}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1608,"base":10},"right_expr":{"type":"numeric_atoms","value":2591,"base":10}}}}},"used_operators":["xNBdhnnwKq","gu96TGCTMs","6o9Blt3TJ6","a3N2hFLK0J","L05ObWFQCd"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2607","layer":4},{"info":"compute unary expreesion, input=2607, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=10428","layer":3},{"info":"number node, value=1608","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=2591, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-14005","layer":3},{"info":"compute binary expreesion, left_input=10428, right_input=-14005, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=3644","layer":2},{"info":"compute unary expreesion, input=3644, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2607∴≳≥)⫰⋱⊺⇮1608⪍↜⋙⊺⇮2591⊘)⊭∹↮=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮2607∴≳≥)⫰⋱⊺⇮1608⪍↜⋙⊺⇮2591⊘)⊭∹↮","cot":[{"info":"⊺⇮2607∴≳≥=⊺⇮10428","layer":3},{"info":"⊺⇮1608⪍↜⋙⊺⇮2591=⊺⇮-14005","layer":3},{"info":"⊺⇮10428⫰⋱⊺⇮-14005=⊺⇮3644","layer":2},{"info":"⊺⇮3644⊘=⊺⇮0","layer":1},{"info":"⊺⇮0⊭∹↮=⊺⇮0","layer":0}]}
{"id":782,"expression_no_base_symbol":"(($1385$⪢$1486$)⪷)+⪬∐(($2619$⨸⪁$7638$)⨚$8530$↞⋁$1587$)⪨≂$2786$⇤$1797$⪇≇⋚$2006$⨫⇇↔$2618$⨭⪣($1681$⪔$9287$⋻⩜⩜(↞≼$3942$))","expression":"((⊺⇮1385⪢⊺⇮1486)⪷)+⪬∐((⊺⇮2619⨸⪁⊺⇮7638)⨚⊺⇮8530↞⋁⊺⇮1587)⪨≂⊺⇮2786⇤⊺⇮1797⪇≇⋚⊺⇮2006⨫⇇↔⊺⇮2618⨭⪣(⊺⇮1681⪔⊺⇮9287⋻⩜⩜(↞≼⊺⇮3942))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":11282,"operation_count":14,"complexity_ratio":805.8571428571429,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1385,"base":10},"right_expr":{"type":"numeric_atoms","value":1486,"base":10}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2619,"base":10},"right_expr":{"type":"numeric_atoms","value":7638,"base":10}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":8530,"base":10},"right_expr":{"type":"numeric_atoms","value":1587,"base":10}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2786,"base":10},"right_expr":{"type":"numeric_atoms","value":1797,"base":10}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2006,"base":10},"right_expr":{"type":"numeric_atoms","value":2618,"base":10}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1681,"base":10},"right_expr":{"type":"numeric_atoms","value":9287,"base":10}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":3942,"base":10}}}}},"used_operators":["sdazOOVcIp","2GS7woTJqF","Qctrpi3WzA","dWAJyo7jo9","nREPSIbpBE","g55IO6H4Gj","RqrPlJkxDo","kn8WO9XteQ","3sJ7IOPOlU","YSKBFp38Pu","LXhwmt4mBO","oDCm7WA9JY","GjBEYRfMaF","DE7zCoGJt9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","Nsiff2A1zJ","k8jYdgA6NY","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1385","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1486, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"number node, value=2619","layer":4},{"info":"number node, value=7638","layer":4},{"info":"compute binary expreesion, left_input=2619, right_input=7638, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20514","layer":3},{"info":"number node, value=8530","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=8530, right_input=1587, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20514, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"number node, value=2786","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=1797, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-20067","layer":3},{"info":"number node, value=2006","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=2618, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-20067, right_input=-527, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1681","layer":4},{"info":"number node, value=9287","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=9287, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3942","layer":4},{"info":"compute unary expreesion, input=3942, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=31122","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=31122, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=124","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=124, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-322, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1385⪢⊺⇮1486)⪷)+⪬∐((⊺⇮2619⨸⪁⊺⇮7638)⨚⊺⇮8530↞⋁⊺⇮1587)⪨≂⊺⇮2786⇤⊺⇮1797⪇≇⋚⊺⇮2006⨫⇇↔⊺⇮2618⨭⪣(⊺⇮1681⪔⊺⇮9287⋻⩜⩜(↞≼⊺⇮3942))=NaN","reverse_text":"NaN=((⊺⇮1385⪢⊺⇮1486)⪷)+⪬∐((⊺⇮2619⨸⪁⊺⇮7638)⨚⊺⇮8530↞⋁⊺⇮1587)⪨≂⊺⇮2786⇤⊺⇮1797⪇≇⋚⊺⇮2006⨫⇇↔⊺⇮2618⨭⪣(⊺⇮1681⪔⊺⇮9287⋻⩜⩜(↞≼⊺⇮3942))","cot":[{"info":"⊺⇮1385⪢⊺⇮1486=NaN","layer":3},{"info":"NaN⪷=NaN","layer":2},{"info":"⊺⇮2619⨸⪁⊺⇮7638=⊺⇮20514","layer":3},{"info":"⊺⇮8530↞⋁⊺⇮1587=NaN","layer":3},{"info":"⊺⇮20514⨚NaN=NaN","layer":2},{"info":"NaN+⪬∐NaN=NaN","layer":1},{"info":"⊺⇮2786⇤⊺⇮1797=⊺⇮-20067","layer":3},{"info":"⊺⇮2006⨫⇇↔⊺⇮2618=⊺⇮-527","layer":3},{"info":"⊺⇮-20067⪇≇⋚⊺⇮-527=⊺⇮0","layer":2},{"info":"⊺⇮1681⪔⊺⇮9287=⊺⇮450","layer":3},{"info":"↞≼⊺⇮3942=⊺⇮31122","layer":3},{"info":"⊺⇮450⋻⩜⩜⊺⇮31122=⊺⇮124","layer":2},{"info":"⊺⇮0⨭⪣⊺⇮124=⊺⇮-322","layer":1},{"info":"NaN⪨≂⊺⇮-322=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"⇙⪊(($6906$≦≮≮)⨐⩸⫘(≉$2867$)∕⩚(≔($1387$≚⋢)))","expression":"⇙⪊((⊺⇮6906≦≮≮)⨐⩸⫘(≉⊺⇮2867)∕⩚(≔(⊺⇮1387≚⋢)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":151,"operation_count":7,"complexity_ratio":21.571428571428573,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":6906,"base":10}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2867,"base":10}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1387,"base":10}}}}},"used_operators":["pB6Fcnrjim","z9ffQ9n5Zr","fu6greOZ01","D4vGDi5EA2","e1ybzncUwg","8FLs4eVsLt","MahUMFw56D"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6906","layer":4},{"info":"compute unary expreesion, input=6906, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-20718","layer":3},{"info":"number node, value=2867","layer":4},{"info":"compute unary expreesion, input=2867, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3398","layer":3},{"info":"compute binary expreesion, left_input=-20718, right_input=3398, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1387","layer":4},{"info":"compute unary expreesion, input=1387, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=3786","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3786, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇙⪊((⊺⇮6906≦≮≮)⨐⩸⫘(≉⊺⇮2867)∕⩚(≔(⊺⇮1387≚⋢)))=NaN","reverse_text":"NaN=⇙⪊((⊺⇮6906≦≮≮)⨐⩸⫘(≉⊺⇮2867)∕⩚(≔(⊺⇮1387≚⋢)))","cot":[{"info":"⊺⇮6906≦≮≮=⊺⇮-20718","layer":3},{"info":"≉⊺⇮2867=⊺⇮3398","layer":3},{"info":"⊺⇮-20718⨐⩸⫘⊺⇮3398=NaN","layer":2},{"info":"⊺⇮1387≚⋢=⊺⇮-89","layer":3},{"info":"≔⊺⇮-89=⊺⇮3786","layer":2},{"info":"NaN∕⩚⊺⇮3786=NaN","layer":1},{"info":"⇙⪊NaN=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"(⇐($1130$↹⊜$1415$⊉↱≁($6485$∩⋅)))∣(($2877$⫣⪄⊒$1634$)⫞⩸⩒(⨭⩧⫛$1987$)⪍↜⋙($2322$⨁⊸⫻)∣$3565$⨥⫆$1364$)","expression":"(⇐(⊺⇮1130↹⊜⊺⇮1415⊉↱≁(⊺⇮6485∩⋅)))∣((⊺⇮2877⫣⪄⊒⊺⇮1634)⫞⩸⩒(⨭⩧⫛⊺⇮1987)⪍↜⋙(⊺⇮2322⨁⊸⫻)∣⊺⇮3565⨥⫆⊺⇮1364)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":207,"operation_count":12,"complexity_ratio":17.25,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1130,"base":10},"right_expr":{"type":"numeric_atoms","value":1415,"base":10}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":6485,"base":10}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2877,"base":10},"right_expr":{"type":"numeric_atoms","value":1634,"base":10}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1987,"base":10}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2322,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3565,"base":10},"right_expr":{"type":"numeric_atoms","value":1364,"base":10}}}}},"used_operators":["PPChnnnBFF","nmZMaaE0Q9","w2P8NbNXyL","9bazX3JMtO","2MzE1hQ0cz","L05ObWFQCd","XGcMNugi78","RabNbG55vr","g21JL6JxX7","glklzrTFfD","yXekIHxTD4"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Qy55tPpLXF","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","W4YGzv6Whe","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⊺⇮6258","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1415, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-3496","layer":3},{"info":"number node, value=6485","layer":4},{"info":"compute unary expreesion, input=6485, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-6364","layer":3},{"info":"compute binary expreesion, left_input=-3496, right_input=-6364, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=3172","layer":2},{"info":"compute unary expreesion, input=3172, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=6258","layer":1},{"info":"number node, value=2877","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=1634, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-4562","layer":3},{"info":"number node, value=1987","layer":4},{"info":"compute unary expreesion, input=1987, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4562, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-4562","layer":2},{"info":"number node, value=2322","layer":4},{"info":"compute unary expreesion, input=2322, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2322","layer":3},{"info":"number node, value=3565","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=3565, right_input=1364, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2604","layer":3},{"info":"compute binary expreesion, left_input=2322, right_input=2604, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2322","layer":2},{"info":"compute binary expreesion, left_input=-4562, right_input=2322, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=17383","layer":1},{"info":"compute binary expreesion, left_input=6258, right_input=17383, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6258","layer":0}],"base":10,"result_base":10,"text":"(⇐(⊺⇮1130↹⊜⊺⇮1415⊉↱≁(⊺⇮6485∩⋅)))∣((⊺⇮2877⫣⪄⊒⊺⇮1634)⫞⩸⩒(⨭⩧⫛⊺⇮1987)⪍↜⋙(⊺⇮2322⨁⊸⫻)∣⊺⇮3565⨥⫆⊺⇮1364)=⊺⇮6258","reverse_text":"⊺⇮6258=(⇐(⊺⇮1130↹⊜⊺⇮1415⊉↱≁(⊺⇮6485∩⋅)))∣((⊺⇮2877⫣⪄⊒⊺⇮1634)⫞⩸⩒(⨭⩧⫛⊺⇮1987)⪍↜⋙(⊺⇮2322⨁⊸⫻)∣⊺⇮3565⨥⫆⊺⇮1364)","cot":[{"info":"⊺⇮1130↹⊜⊺⇮1415=⊺⇮-3496","layer":3},{"info":"⊺⇮6485∩⋅=⊺⇮-6364","layer":3},{"info":"⊺⇮-3496⊉↱≁⊺⇮-6364=⊺⇮3172","layer":2},{"info":"⇐⊺⇮3172=⊺⇮6258","layer":1},{"info":"⊺⇮2877⫣⪄⊒⊺⇮1634=⊺⇮-4562","layer":3},{"info":"⨭⩧⫛⊺⇮1987=NaN","layer":3},{"info":"⊺⇮-4562⫞⩸⩒NaN=⊺⇮-4562","layer":2},{"info":"⊺⇮2322⨁⊸⫻=⊺⇮2322","layer":3},{"info":"⊺⇮3565⨥⫆⊺⇮1364=⊺⇮2604","layer":3},{"info":"⊺⇮2322∣⊺⇮2604=⊺⇮2322","layer":2},{"info":"⊺⇮-4562⪍↜⋙⊺⇮2322=⊺⇮17383","layer":1},{"info":"⊺⇮6258∣⊺⇮17383=⊺⇮6258","layer":0}]}
{"id":785,"expression_no_base_symbol":"(($9430$≹⇙⪍$2969$)∥⊢⊲($2029$⫘$5739$))≁(($1176$⫏⊷)⪪($2235$⫦⪉$6188$))⨎($4786$↛⩡⫤)⊬⨰($5990$⨰$2139$)⫒⫫(⇾⩊⇾($3605$⨸⪁$2308$))","expression":"((⊺⇮9430≹⇙⪍⊺⇮2969)∥⊢⊲(⊺⇮2029⫘⊺⇮5739))≁((⊺⇮1176⫏⊷)⪪(⊺⇮2235⫦⪉⊺⇮6188))⨎(⊺⇮4786↛⩡⫤)⊬⨰(⊺⇮5990⨰⊺⇮2139)⫒⫫(⇾⩊⇾(⊺⇮3605⨸⪁⊺⇮2308))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20991,"operation_count":14,"complexity_ratio":1499.357142857143,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":9430,"base":10},"right_expr":{"type":"numeric_atoms","value":2969,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2029,"base":10},"right_expr":{"type":"numeric_atoms","value":5739,"base":10}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1176,"base":10}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2235,"base":10},"right_expr":{"type":"numeric_atoms","value":6188,"base":10}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4786,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5990,"base":10},"right_expr":{"type":"numeric_atoms","value":2139,"base":10}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3605,"base":10},"right_expr":{"type":"numeric_atoms","value":2308,"base":10}}}}},"used_operators":["rJVOvQCfKK","8N2wDY1A35","v1UQAVDJRr","AHs5Up7iyr","48vC8HMD2b","xD69zh8xqp","dcShxvzhyw","wscyQdcy20","6Ko8hGgeMq","s3Fd5m9Dh2","FU0Cs4j7VP","eewbuw0ToL","bx9Z9DAK5y","g55IO6H4Gj"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","EBcxylXtPf","rGHVDoGpnC","dWAJyo7jo9","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","FU0Cs4j7VP","JclMnS0uGI","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe"],"result":"⊺⇮7336406","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=9430","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=9430, right_input=2969, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2029","layer":4},{"info":"number node, value=5739","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=5739, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2390509","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2390509, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=2390509","layer":2},{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=2235","layer":4},{"info":"number node, value=6188","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=6188, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=430","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=430, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute binary expreesion, left_input=2390509, right_input=-6206, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-184257","layer":1},{"info":"number node, value=4786","layer":4},{"info":"compute unary expreesion, input=4786, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-718775","layer":3},{"info":"number node, value=5990","layer":4},{"info":"number node, value=2139","layer":4},{"info":"compute binary expreesion, left_input=5990, right_input=2139, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3861","layer":3},{"info":"compute binary expreesion, left_input=-718775, right_input=3861, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-1422106","layer":2},{"info":"number node, value=3605","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=3605, right_input=2308, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11826","layer":3},{"info":"compute unary expreesion, input=11826, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-112920","layer":2},{"info":"compute binary expreesion, left_input=-1422106, right_input=-112920, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=7336406","layer":1},{"info":"compute binary expreesion, left_input=-184257, right_input=7336406, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7336406","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮9430≹⇙⪍⊺⇮2969)∥⊢⊲(⊺⇮2029⫘⊺⇮5739))≁((⊺⇮1176⫏⊷)⪪(⊺⇮2235⫦⪉⊺⇮6188))⨎(⊺⇮4786↛⩡⫤)⊬⨰(⊺⇮5990⨰⊺⇮2139)⫒⫫(⇾⩊⇾(⊺⇮3605⨸⪁⊺⇮2308))=⊺⇮7336406","reverse_text":"⊺⇮7336406=((⊺⇮9430≹⇙⪍⊺⇮2969)∥⊢⊲(⊺⇮2029⫘⊺⇮5739))≁((⊺⇮1176⫏⊷)⪪(⊺⇮2235⫦⪉⊺⇮6188))⨎(⊺⇮4786↛⩡⫤)⊬⨰(⊺⇮5990⨰⊺⇮2139)⫒⫫(⇾⩊⇾(⊺⇮3605⨸⪁⊺⇮2308))","cot":[{"info":"⊺⇮9430≹⇙⪍⊺⇮2969=NaN","layer":3},{"info":"⊺⇮2029⫘⊺⇮5739=⊺⇮2390509","layer":3},{"info":"NaN∥⊢⊲⊺⇮2390509=⊺⇮2390509","layer":2},{"info":"⊺⇮1176⫏⊷=⊺⇮-820","layer":3},{"info":"⊺⇮2235⫦⪉⊺⇮6188=⊺⇮430","layer":3},{"info":"⊺⇮-820⪪⊺⇮430=⊺⇮-6206","layer":2},{"info":"⊺⇮2390509≁⊺⇮-6206=⊺⇮-184257","layer":1},{"info":"⊺⇮4786↛⩡⫤=⊺⇮-718775","layer":3},{"info":"⊺⇮5990⨰⊺⇮2139=⊺⇮3861","layer":3},{"info":"⊺⇮-718775⊬⨰⊺⇮3861=⊺⇮-1422106","layer":2},{"info":"⊺⇮3605⨸⪁⊺⇮2308=⊺⇮11826","layer":3},{"info":"⇾⩊⇾⊺⇮11826=⊺⇮-112920","layer":2},{"info":"⊺⇮-1422106⫒⫫⊺⇮-112920=⊺⇮7336406","layer":1},{"info":"⊺⇮-184257⨎⊺⇮7336406=⊺⇮7336406","layer":0}]}
{"id":786,"expression_no_base_symbol":"⪭⩑⪱(($1743$⋾⨃∁$7122$)≝⊿($3948$∲⫓$7667$)⪭(($5326$⊵↤)⋓($2361$≳⇉$1509$)))","expression":"⪭⩑⪱((⊺⇮1743⋾⨃∁⊺⇮7122)≝⊿(⊺⇮3948∲⫓⊺⇮7667)⪭((⊺⇮5326⊵↤)⋓(⊺⇮2361≳⇉⊺⇮1509)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36085353,"operation_count":8,"complexity_ratio":4510669.125,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1743,"base":10},"right_expr":{"type":"numeric_atoms","value":7122,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3948,"base":10},"right_expr":{"type":"numeric_atoms","value":7667,"base":10}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":5326,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2361,"base":10},"right_expr":{"type":"numeric_atoms","value":1509,"base":10}}}}},"used_operators":["SIgE0bArFf","j9kHMeSvPp","OKKcZfAt5B","212REbPD9h","i8ToyICDmI","T2fj7uvVaJ","7IPrd9c3lf","V0kx6qeWkN"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","COABgblf1C","xUOZtlo3hN","12rbrZMWeM","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⊺⇮8320752","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1743","layer":4},{"info":"number node, value=7122","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=7122, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=507143282","layer":3},{"info":"number node, value=3948","layer":4},{"info":"number node, value=7667","layer":4},{"info":"compute binary expreesion, left_input=3948, right_input=7667, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=507143282, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-507143815","layer":2},{"info":"number node, value=5326","layer":4},{"info":"compute unary expreesion, input=5326, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"number node, value=2361","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=1509, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-507143815, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=507143641","layer":1},{"info":"compute unary expreesion, input=507143641, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":10,"result_base":10,"text":"⪭⩑⪱((⊺⇮1743⋾⨃∁⊺⇮7122)≝⊿(⊺⇮3948∲⫓⊺⇮7667)⪭((⊺⇮5326⊵↤)⋓(⊺⇮2361≳⇉⊺⇮1509)))=⊺⇮8320752","reverse_text":"⊺⇮8320752=⪭⩑⪱((⊺⇮1743⋾⨃∁⊺⇮7122)≝⊿(⊺⇮3948∲⫓⊺⇮7667)⪭((⊺⇮5326⊵↤)⋓(⊺⇮2361≳⇉⊺⇮1509)))","cot":[{"info":"⊺⇮1743⋾⨃∁⊺⇮7122=⊺⇮507143282","layer":3},{"info":"⊺⇮3948∲⫓⊺⇮7667=⊺⇮0","layer":3},{"info":"⊺⇮507143282≝⊿⊺⇮0=⊺⇮-507143815","layer":2},{"info":"⊺⇮5326⊵↤=⊺⇮67","layer":3},{"info":"⊺⇮2361≳⇉⊺⇮1509=NaN","layer":3},{"info":"⊺⇮67⋓NaN=NaN","layer":2},{"info":"⊺⇮-507143815⪭NaN=⊺⇮507143641","layer":1},{"info":"⪭⩑⪱⊺⇮507143641=⊺⇮8320752","layer":0}]}
{"id":787,"expression_no_base_symbol":"((⩎⋉$1080$)≠≀$5206$≄⊠$2895$≧⫂∧(⊁⨺(⨴⫝$1149$)))⨓(⋼∭⪍$3836$)⪔⊥$5320$↤⩊$1258$∘(↔$3240$)⋕⪉⪜(⨩∲⋌$3448$)","expression":"((⩎⋉⊺⇮1080)≠≀⊺⇮5206≄⊠⊺⇮2895≧⫂∧(⊁⨺(⨴⫝⊺⇮1149)))⨓(⋼∭⪍⊺⇮3836)⪔⊥⊺⇮5320↤⩊⊺⇮1258∘(↔⊺⇮3240)⋕⪉⪜(⨩∲⋌⊺⇮3448)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2230,"operation_count":14,"complexity_ratio":159.28571428571428,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1080,"base":10}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5206,"base":10},"right_expr":{"type":"numeric_atoms","value":2895,"base":10}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1149,"base":10}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3836,"base":10}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5320,"base":10},"right_expr":{"type":"numeric_atoms","value":1258,"base":10}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3240,"base":10}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":3448,"base":10}}}}},"used_operators":["3ViojmjbAp","Ph9nP6C5qx","IwW236VD4Y","FlXk3pOYe8","vXNesLlMH1","PxiHyQbrIp","SVb2v531z1","Z5m6OM72h2","HJ9erzHUuu","DbCuESL50I","13rbtpv6ld","z6LnFrNh4i","ruOEQAzv1W","aSik1wnThz"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","eH2TOUuTDT","rysDP5nf3Z","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=5206","layer":4},{"info":"number node, value=2895","layer":4},{"info":"compute binary expreesion, left_input=5206, right_input=2895, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=50988","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=50988, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2994","layer":2},{"info":"number node, value=1149","layer":4},{"info":"compute unary expreesion, input=1149, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute unary expreesion, input=2828198, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-2994, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":1},{"info":"number node, value=3836","layer":4},{"info":"compute unary expreesion, input=3836, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-13604","layer":3},{"info":"number node, value=5320","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=5320, right_input=1258, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13604, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"number node, value=3240","layer":4},{"info":"compute unary expreesion, input=3240, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2967","layer":3},{"info":"number node, value=3448","layer":4},{"info":"compute unary expreesion, input=3448, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3971","layer":3},{"info":"compute binary expreesion, left_input=-2967, right_input=-3971, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-313, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⩎⋉⊺⇮1080)≠≀⊺⇮5206≄⊠⊺⇮2895≧⫂∧(⊁⨺(⨴⫝⊺⇮1149)))⨓(⋼∭⪍⊺⇮3836)⪔⊥⊺⇮5320↤⩊⊺⇮1258∘(↔⊺⇮3240)⋕⪉⪜(⨩∲⋌⊺⇮3448)=NaN","reverse_text":"NaN=((⩎⋉⊺⇮1080)≠≀⊺⇮5206≄⊠⊺⇮2895≧⫂∧(⊁⨺(⨴⫝⊺⇮1149)))⨓(⋼∭⪍⊺⇮3836)⪔⊥⊺⇮5320↤⩊⊺⇮1258∘(↔⊺⇮3240)⋕⪉⪜(⨩∲⋌⊺⇮3448)","cot":[{"info":"⩎⋉⊺⇮1080=⊺⇮1650","layer":3},{"info":"⊺⇮5206≄⊠⊺⇮2895=⊺⇮50988","layer":3},{"info":"⊺⇮1650≠≀⊺⇮50988=⊺⇮-2994","layer":2},{"info":"⨴⫝⊺⇮1149=⊺⇮2828198","layer":3},{"info":"⊁⨺⊺⇮2828198=⊺⇮160","layer":2},{"info":"⊺⇮-2994≧⫂∧⊺⇮160=⊺⇮-313","layer":1},{"info":"⋼∭⪍⊺⇮3836=⊺⇮-13604","layer":3},{"info":"⊺⇮5320↤⩊⊺⇮1258=NaN","layer":3},{"info":"⊺⇮-13604⪔⊥NaN=NaN","layer":2},{"info":"↔⊺⇮3240=⊺⇮-2967","layer":3},{"info":"⨩∲⋌⊺⇮3448=⊺⇮-3971","layer":3},{"info":"⊺⇮-2967⋕⪉⪜⊺⇮-3971=⊺⇮2802","layer":2},{"info":"NaN∘⊺⇮2802=NaN","layer":1},{"info":"⊺⇮-313⨓NaN=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"⨰⫟⨤($2680$⨚$1769$⇴∐(⫛⫱⨽$4696$)⇮⋭(⇖⫷⫕(↨⩢⫨$3053$)))","expression":"⨰⫟⨤(⊺⇮2680⨚⊺⇮1769⇴∐(⫛⫱⨽⊺⇮4696)⇮⋭(⇖⫷⫕(↨⩢⫨⊺⇮3053)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3174,"operation_count":7,"complexity_ratio":453.42857142857144,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2680,"base":10},"right_expr":{"type":"numeric_atoms","value":1769,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4696,"base":10}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":3053,"base":10}}}}},"used_operators":["Tw270M8GLb","vkpjKywKVM","HnzytWxmAO","nREPSIbpBE","DlLNRPXxWL","UHmRx3INFg","Z5CJsN7DuW"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","BjRHVeLaeN","12rbrZMWeM","rGHVDoGpnC","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2680","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=1769, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-782","layer":3},{"info":"number node, value=4696","layer":4},{"info":"compute unary expreesion, input=4696, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-782, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-1798","layer":2},{"info":"number node, value=3053","layer":4},{"info":"compute unary expreesion, input=3053, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-1798, right_input=2822, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨰⫟⨤(⊺⇮2680⨚⊺⇮1769⇴∐(⫛⫱⨽⊺⇮4696)⇮⋭(⇖⫷⫕(↨⩢⫨⊺⇮3053)))=NaN","reverse_text":"NaN=⨰⫟⨤(⊺⇮2680⨚⊺⇮1769⇴∐(⫛⫱⨽⊺⇮4696)⇮⋭(⇖⫷⫕(↨⩢⫨⊺⇮3053)))","cot":[{"info":"⊺⇮2680⨚⊺⇮1769=⊺⇮-782","layer":3},{"info":"⫛⫱⨽⊺⇮4696=⊺⇮0","layer":3},{"info":"⊺⇮-782⇴∐⊺⇮0=⊺⇮-1798","layer":2},{"info":"↨⩢⫨⊺⇮3053=⊺⇮0","layer":3},{"info":"⇖⫷⫕⊺⇮0=⊺⇮2822","layer":2},{"info":"⊺⇮-1798⇮⋭⊺⇮2822=⊺⇮67","layer":1},{"info":"⨰⫟⨤⊺⇮67=NaN","layer":0}]}
{"id":789,"expression_no_base_symbol":"($1907$⫗⊷⫓$6555$⋷$1029$⨳⩥⨓$5978$)+⪬∐($1885$⊾⪯⋞$2010$)≴⪞⇿($2998$⊔$7623$)⊔((⋣$1915$)⩇∃⫛$2513$⩁⩘$9565$≭($2065$⫒⫫$1503$)⩼⇪↪($3850$⪥⨬⪅))","expression":"(⊺⇮1907⫗⊷⫓⊺⇮6555⋷⊺⇮1029⨳⩥⨓⊺⇮5978)+⪬∐(⊺⇮1885⊾⪯⋞⊺⇮2010)≴⪞⇿(⊺⇮2998⊔⊺⇮7623)⊔((⋣⊺⇮1915)⩇∃⫛⊺⇮2513⩁⩘⊺⇮9565≭(⊺⇮2065⫒⫫⊺⇮1503)⩼⇪↪(⊺⇮3850⪥⨬⪅))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4425,"operation_count":15,"complexity_ratio":295.0,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1907,"base":10},"right_expr":{"type":"numeric_atoms","value":6555,"base":10}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1029,"base":10},"right_expr":{"type":"numeric_atoms","value":5978,"base":10}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1885,"base":10},"right_expr":{"type":"numeric_atoms","value":2010,"base":10}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2998,"base":10},"right_expr":{"type":"numeric_atoms","value":7623,"base":10}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1915,"base":10}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2513,"base":10},"right_expr":{"type":"numeric_atoms","value":9565,"base":10}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2065,"base":10},"right_expr":{"type":"numeric_atoms","value":1503,"base":10}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":3850,"base":10}}}}},"used_operators":["E4l6HwMY31","2GS7woTJqF","23Mk6UjR3U","zashukvMKz","nCS4ZIUYfx","lvlrscuwVU","HK0tfVPux8","rxpJgHHUmx","1aApVXNlOP","zQWRhDnn8F","gub5Cegaqo","ocnLzx9CaJ","6Ko8hGgeMq","zNRQejTB5A"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1907","layer":4},{"info":"number node, value=6555","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=6555, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=5978","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=5978, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4949","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=4949, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=268","layer":2},{"info":"number node, value=1885","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=2010, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3594","layer":3},{"info":"number node, value=2998","layer":4},{"info":"number node, value=7623","layer":4},{"info":"compute binary expreesion, left_input=2998, right_input=7623, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=41711","layer":3},{"info":"compute binary expreesion, left_input=3594, right_input=41711, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=22058316","layer":2},{"info":"compute binary expreesion, left_input=268, right_input=22058316, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-804","layer":1},{"info":"number node, value=1915","layer":4},{"info":"compute unary expreesion, input=1915, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-562915","layer":3},{"info":"number node, value=2513","layer":4},{"info":"number node, value=9565","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=9565, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=39208","layer":3},{"info":"compute binary expreesion, left_input=-562915, right_input=39208, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-562915","layer":2},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1503, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=3850","layer":4},{"info":"compute unary expreesion, input=3850, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-562915, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-804, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1907⫗⊷⫓⊺⇮6555⋷⊺⇮1029⨳⩥⨓⊺⇮5978)+⪬∐(⊺⇮1885⊾⪯⋞⊺⇮2010)≴⪞⇿(⊺⇮2998⊔⊺⇮7623)⊔((⋣⊺⇮1915)⩇∃⫛⊺⇮2513⩁⩘⊺⇮9565≭(⊺⇮2065⫒⫫⊺⇮1503)⩼⇪↪(⊺⇮3850⪥⨬⪅))=NaN","reverse_text":"NaN=(⊺⇮1907⫗⊷⫓⊺⇮6555⋷⊺⇮1029⨳⩥⨓⊺⇮5978)+⪬∐(⊺⇮1885⊾⪯⋞⊺⇮2010)≴⪞⇿(⊺⇮2998⊔⊺⇮7623)⊔((⋣⊺⇮1915)⩇∃⫛⊺⇮2513⩁⩘⊺⇮9565≭(⊺⇮2065⫒⫫⊺⇮1503)⩼⇪↪(⊺⇮3850⪥⨬⪅))","cot":[{"info":"⊺⇮1907⫗⊷⫓⊺⇮6555=⊺⇮-134","layer":3},{"info":"⊺⇮1029⨳⩥⨓⊺⇮5978=⊺⇮4949","layer":3},{"info":"⊺⇮-134⋷⊺⇮4949=⊺⇮268","layer":2},{"info":"⊺⇮1885⊾⪯⋞⊺⇮2010=⊺⇮3594","layer":3},{"info":"⊺⇮2998⊔⊺⇮7623=⊺⇮41711","layer":3},{"info":"⊺⇮3594≴⪞⇿⊺⇮41711=⊺⇮22058316","layer":2},{"info":"⊺⇮268+⪬∐⊺⇮22058316=⊺⇮-804","layer":1},{"info":"⋣⊺⇮1915=⊺⇮-562915","layer":3},{"info":"⊺⇮2513⩁⩘⊺⇮9565=⊺⇮39208","layer":3},{"info":"⊺⇮-562915⩇∃⫛⊺⇮39208=⊺⇮-562915","layer":2},{"info":"⊺⇮2065⫒⫫⊺⇮1503=NaN","layer":3},{"info":"⊺⇮3850⪥⨬⪅=⊺⇮-473","layer":3},{"info":"NaN⩼⇪↪⊺⇮-473=NaN","layer":2},{"info":"⊺⇮-562915≭NaN=NaN","layer":1},{"info":"⊺⇮-804⊔NaN=NaN","layer":0}]}
{"id":790,"expression_no_base_symbol":"⇠((⇜⊴$1289$)⫗⊷⫓(∂$3991$)⨳⩥⨓($1492$⪊≅)≹⇙⪍$1777$⨽∌$6265$)","expression":"⇠((⇜⊴⊺⇮1289)⫗⊷⫓(∂⊺⇮3991)⨳⩥⨓(⊺⇮1492⪊≅)≹⇙⪍⊺⇮1777⨽∌⊺⇮6265)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":87695,"operation_count":8,"complexity_ratio":10961.875,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1289,"base":10}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3991,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":1492,"base":10}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1777,"base":10},"right_expr":{"type":"numeric_atoms","value":6265,"base":10}}}}},"used_operators":["18saOjeKKm","nCS4ZIUYfx","zashukvMKz","XwDhCwWbUn","Uaa54Peajs","AHs5Up7iyr","bjFbhXSADs","9samAPKr6k"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⊺⇮108","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1289","layer":4},{"info":"compute unary expreesion, input=1289, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-290490","layer":3},{"info":"number node, value=3991","layer":4},{"info":"compute unary expreesion, input=3991, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-290490, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"number node, value=1777","layer":4},{"info":"number node, value=6265","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=6265, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=108","layer":0}],"base":10,"result_base":10,"text":"⇠((⇜⊴⊺⇮1289)⫗⊷⫓(∂⊺⇮3991)⨳⩥⨓(⊺⇮1492⪊≅)≹⇙⪍⊺⇮1777⨽∌⊺⇮6265)=⊺⇮108","reverse_text":"⊺⇮108=⇠((⇜⊴⊺⇮1289)⫗⊷⫓(∂⊺⇮3991)⨳⩥⨓(⊺⇮1492⪊≅)≹⇙⪍⊺⇮1777⨽∌⊺⇮6265)","cot":[{"info":"⇜⊴⊺⇮1289=⊺⇮-290490","layer":3},{"info":"∂⊺⇮3991=NaN","layer":3},{"info":"⊺⇮-290490⫗⊷⫓NaN=⊺⇮-134","layer":2},{"info":"⊺⇮1492⪊≅=⊺⇮0","layer":3},{"info":"⊺⇮1777⨽∌⊺⇮6265=⊺⇮0","layer":3},{"info":"⊺⇮0≹⇙⪍⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-134⨳⩥⨓⊺⇮0=⊺⇮134","layer":1},{"info":"⇠⊺⇮134=⊺⇮108","layer":0}]}
{"id":791,"expression_no_base_symbol":"($1564$≚⊃≕$1378$⪨⊡$1559$⋓$3439$)≀⫉($5104$⪢$3019$)⊬⨰(↞≼$3428$)∠↢(↪⫪⫘($2530$≬⇓$4894$⫸⊐$1062$⪒⊣⊆$1185$))","expression":"(⊺⇮1564≚⊃≕⊺⇮1378⪨⊡⊺⇮1559⋓⊺⇮3439)≀⫉(⊺⇮5104⪢⊺⇮3019)⊬⨰(↞≼⊺⇮3428)∠↢(↪⫪⫘(⊺⇮2530≬⇓⊺⇮4894⫸⊐⊺⇮1062⪒⊣⊆⊺⇮1185))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3603,"operation_count":12,"complexity_ratio":300.25,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1564,"base":10},"right_expr":{"type":"numeric_atoms","value":1378,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1559,"base":10},"right_expr":{"type":"numeric_atoms","value":3439,"base":10}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5104,"base":10},"right_expr":{"type":"numeric_atoms","value":3019,"base":10}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":3428,"base":10}}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2530,"base":10},"right_expr":{"type":"numeric_atoms","value":4894,"base":10}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1062,"base":10},"right_expr":{"type":"numeric_atoms","value":1185,"base":10}}}}},"used_operators":["KbjG8mgYpV","oZj3VtZNQx","kuIXHzHcAH","Bmrmz2XGnR","T2fj7uvVaJ","s3Fd5m9Dh2","dWAJyo7jo9","DE7zCoGJt9","9dWsAM3GFt","mqXw5SEYmG","jWTQ2TZYIH","eRqsBgTDFp"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","k8jYdgA6NY","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","W4YGzv6Whe"],"result":"⊺⇮-10486","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1564","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=1378, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1559","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=3439, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"number node, value=5104","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=5104, right_input=3019, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3428","layer":4},{"info":"compute unary expreesion, input=3428, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=27010","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27010, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=2530","layer":4},{"info":"number node, value=4894","layer":4},{"info":"compute binary expreesion, left_input=2530, right_input=4894, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1185, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2124","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=2124, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=462","layer":2},{"info":"compute unary expreesion, input=462, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=20, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-10486","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1564≚⊃≕⊺⇮1378⪨⊡⊺⇮1559⋓⊺⇮3439)≀⫉(⊺⇮5104⪢⊺⇮3019)⊬⨰(↞≼⊺⇮3428)∠↢(↪⫪⫘(⊺⇮2530≬⇓⊺⇮4894⫸⊐⊺⇮1062⪒⊣⊆⊺⇮1185))=⊺⇮-10486","reverse_text":"⊺⇮-10486=(⊺⇮1564≚⊃≕⊺⇮1378⪨⊡⊺⇮1559⋓⊺⇮3439)≀⫉(⊺⇮5104⪢⊺⇮3019)⊬⨰(↞≼⊺⇮3428)∠↢(↪⫪⫘(⊺⇮2530≬⇓⊺⇮4894⫸⊐⊺⇮1062⪒⊣⊆⊺⇮1185))","cot":[{"info":"⊺⇮1564≚⊃≕⊺⇮1378=⊺⇮67","layer":3},{"info":"⊺⇮1559⋓⊺⇮3439=⊺⇮0","layer":3},{"info":"⊺⇮67⪨⊡⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮5104⪢⊺⇮3019=NaN","layer":3},{"info":"↞≼⊺⇮3428=⊺⇮27010","layer":3},{"info":"NaN⊬⨰⊺⇮27010=NaN","layer":2},{"info":"⊺⇮789≀⫉NaN=⊺⇮2822","layer":1},{"info":"⊺⇮2530≬⇓⊺⇮4894=⊺⇮-22","layer":3},{"info":"⊺⇮1062⪒⊣⊆⊺⇮1185=⊺⇮2124","layer":3},{"info":"⊺⇮-22⫸⊐⊺⇮2124=⊺⇮462","layer":2},{"info":"↪⫪⫘⊺⇮462=⊺⇮20","layer":1},{"info":"⊺⇮2822∠↢⊺⇮20=⊺⇮-10486","layer":0}]}
{"id":792,"expression_no_base_symbol":"(⇜⊴$5675$)∘$3187$⪬$1022$∣($2138$⋳⪒$5243$⩨$2368$∴$1106$)⋥≓≎(↩⪖($5492$⊫∞)⩁⩘($2896$⫌⩉⩟$3308$))","expression":"(⇜⊴⊺⇮5675)∘⊺⇮3187⪬⊺⇮1022∣(⊺⇮2138⋳⪒⊺⇮5243⩨⊺⇮2368∴⊺⇮1106)⋥≓≎(↩⪖(⊺⇮5492⊫∞)⩁⩘(⊺⇮2896⫌⩉⩟⊺⇮3308))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":40188,"operation_count":12,"complexity_ratio":3349.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":5675,"base":10}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3187,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2138,"base":10},"right_expr":{"type":"numeric_atoms","value":5243,"base":10}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2368,"base":10},"right_expr":{"type":"numeric_atoms","value":1106,"base":10}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":5492,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2896,"base":10},"right_expr":{"type":"numeric_atoms","value":3308,"base":10}}}}},"used_operators":["Qy55tPpLXF","PPChnnnBFF","Z5m6OM72h2","XwDhCwWbUn","Ez1Nq5fNfI","2DlMacCsIx","12rbrZMWeM","hrf7POJlIJ","fG6uBQFnGz","gub5Cegaqo","pABnYW3G3E","XIIwhv8d0m"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5675","layer":4},{"info":"compute unary expreesion, input=5675, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1325586","layer":3},{"info":"number node, value=3187","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=1022, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-1325586, right_input=1234, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-2651172","layer":2},{"info":"number node, value=2138","layer":4},{"info":"number node, value=5243","layer":4},{"info":"compute binary expreesion, left_input=2138, right_input=5243, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1254","layer":3},{"info":"number node, value=2368","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=1106, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6384","layer":3},{"info":"compute binary expreesion, left_input=-1254, right_input=6384, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=18","layer":2},{"info":"compute binary expreesion, left_input=-2651172, right_input=18, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2651656","layer":1},{"info":"number node, value=5492","layer":4},{"info":"compute unary expreesion, input=5492, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=3308","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=3308, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-50, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2651656, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇜⊴⊺⇮5675)∘⊺⇮3187⪬⊺⇮1022∣(⊺⇮2138⋳⪒⊺⇮5243⩨⊺⇮2368∴⊺⇮1106)⋥≓≎(↩⪖(⊺⇮5492⊫∞)⩁⩘(⊺⇮2896⫌⩉⩟⊺⇮3308))=NaN","reverse_text":"NaN=(⇜⊴⊺⇮5675)∘⊺⇮3187⪬⊺⇮1022∣(⊺⇮2138⋳⪒⊺⇮5243⩨⊺⇮2368∴⊺⇮1106)⋥≓≎(↩⪖(⊺⇮5492⊫∞)⩁⩘(⊺⇮2896⫌⩉⩟⊺⇮3308))","cot":[{"info":"⇜⊴⊺⇮5675=⊺⇮-1325586","layer":3},{"info":"⊺⇮3187⪬⊺⇮1022=⊺⇮1234","layer":3},{"info":"⊺⇮-1325586∘⊺⇮1234=⊺⇮-2651172","layer":2},{"info":"⊺⇮2138⋳⪒⊺⇮5243=⊺⇮-1254","layer":3},{"info":"⊺⇮2368∴⊺⇮1106=⊺⇮6384","layer":3},{"info":"⊺⇮-1254⩨⊺⇮6384=⊺⇮18","layer":2},{"info":"⊺⇮-2651172∣⊺⇮18=⊺⇮2651656","layer":1},{"info":"⊺⇮5492⊫∞=⊺⇮0","layer":3},{"info":"⊺⇮2896⫌⩉⩟⊺⇮3308=⊺⇮-50","layer":3},{"info":"⊺⇮0⩁⩘⊺⇮-50=NaN","layer":2},{"info":"↩⪖NaN=NaN","layer":1},{"info":"⊺⇮2651656⋥≓≎NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"⫎≠⋺((∥⊫($7249$⊎←↗))∷(↘($5262$⇣⩺⋵$1090$)))","expression":"⫎≠⋺((∥⊫(⊺⇮7249⊎←↗))∷(↘(⊺⇮5262⇣⩺⋵⊺⇮1090)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":91,"operation_count":6,"complexity_ratio":15.166666666666666,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":7249,"base":10}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5262,"base":10},"right_expr":{"type":"numeric_atoms","value":1090,"base":10}}}}},"used_operators":["LYeZOJ0nQG","D3AQDKkPcf","P8v4zCKN1o","dwb5p0fa6d","LdNpr8hQHL","F4yD0voBRQ"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","COABgblf1C","uFcxV4UQCh","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⊺⇮-709","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7249","layer":4},{"info":"compute unary expreesion, input=7249, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-13813","layer":3},{"info":"compute unary expreesion, input=-13813, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=5262","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=5262, right_input=1090, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=132","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=132, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=132","layer":1},{"info":"compute unary expreesion, input=132, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":10,"result_base":10,"text":"⫎≠⋺((∥⊫(⊺⇮7249⊎←↗))∷(↘(⊺⇮5262⇣⩺⋵⊺⇮1090)))=⊺⇮-709","reverse_text":"⊺⇮-709=⫎≠⋺((∥⊫(⊺⇮7249⊎←↗))∷(↘(⊺⇮5262⇣⩺⋵⊺⇮1090)))","cot":[{"info":"⊺⇮7249⊎←↗=⊺⇮-13813","layer":3},{"info":"∥⊫⊺⇮-13813=⊺⇮-55","layer":2},{"info":"⊺⇮5262⇣⩺⋵⊺⇮1090=⊺⇮-260","layer":3},{"info":"↘⊺⇮-260=⊺⇮132","layer":2},{"info":"⊺⇮-55∷⊺⇮132=⊺⇮132","layer":1},{"info":"⫎≠⋺⊺⇮132=⊺⇮-709","layer":0}]}
{"id":794,"expression_no_base_symbol":"(⨵($7550$∴$1971$))⫲≸⪮(⪁⇼($7093$⊭↱$4542$))⫢⨠($1718$⋕⪉⪜$7045$⩘(≔$2705$)⊎←↗)","expression":"(⨵(⊺⇮7550∴⊺⇮1971))⫲≸⪮(⪁⇼(⊺⇮7093⊭↱⊺⇮4542))⫢⨠(⊺⇮1718⋕⪉⪜⊺⇮7045⩘(≔⊺⇮2705)⊎←↗)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":135868,"operation_count":10,"complexity_ratio":13586.8,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":7550,"base":10},"right_expr":{"type":"numeric_atoms","value":1971,"base":10}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7093,"base":10},"right_expr":{"type":"numeric_atoms","value":4542,"base":10}}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1718,"base":10},"right_expr":{"type":"numeric_atoms","value":7045,"base":10}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2705,"base":10}}}}},"used_operators":["xlXykHWxX1","P3lXMJvFrc","Tl3Y52tvF8","hrf7POJlIJ","ZNVVrZ94lY","COABgblf1C","dwb5p0fa6d","cHh1gJQ2o6","z6LnFrNh4i","8FLs4eVsLt"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7550","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=7550, right_input=1971, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=16748","layer":3},{"info":"compute unary expreesion, input=16748, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-135193","layer":2},{"info":"number node, value=7093","layer":4},{"info":"number node, value=4542","layer":4},{"info":"compute binary expreesion, left_input=7093, right_input=4542, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5097","layer":3},{"info":"compute unary expreesion, input=-5097, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=-135193, right_input=422, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=135193","layer":1},{"info":"number node, value=1718","layer":4},{"info":"number node, value=7045","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=7045, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-74446","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=-74446, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=365","layer":1},{"info":"compute binary expreesion, left_input=135193, right_input=365, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":10,"result_base":10,"text":"(⨵(⊺⇮7550∴⊺⇮1971))⫲≸⪮(⪁⇼(⊺⇮7093⊭↱⊺⇮4542))⫢⨠(⊺⇮1718⋕⪉⪜⊺⇮7045⩘(≔⊺⇮2705)⊎←↗)=⊺⇮160","reverse_text":"⊺⇮160=(⨵(⊺⇮7550∴⊺⇮1971))⫲≸⪮(⪁⇼(⊺⇮7093⊭↱⊺⇮4542))⫢⨠(⊺⇮1718⋕⪉⪜⊺⇮7045⩘(≔⊺⇮2705)⊎←↗)","cot":[{"info":"⊺⇮7550∴⊺⇮1971=⊺⇮16748","layer":3},{"info":"⨵⊺⇮16748=⊺⇮-135193","layer":2},{"info":"⊺⇮7093⊭↱⊺⇮4542=⊺⇮-5097","layer":3},{"info":"⪁⇼⊺⇮-5097=⊺⇮422","layer":2},{"info":"⊺⇮-135193⫲≸⪮⊺⇮422=⊺⇮135193","layer":1},{"info":"⊺⇮1718⋕⪉⪜⊺⇮7045=⊺⇮204","layer":3},{"info":"≔⊺⇮2705=⊺⇮-74446","layer":3},{"info":"⊺⇮204⩘⊺⇮-74446=⊺⇮160","layer":2},{"info":"⊺⇮160⊎←↗=⊺⇮365","layer":1},{"info":"⊺⇮135193⫢⨠⊺⇮365=⊺⇮160","layer":0}]}
{"id":795,"expression_no_base_symbol":"(∤($2059$⫡⨏$2789$)↙(≸≮$5075$))∖$2504$⩦$1647$⊲⩕⊾($5671$⨌↪)⊍⩺⋍(⨩∲⋌($4538$≹⇙⪍$1444$))","expression":"(∤(⊺⇮2059⫡⨏⊺⇮2789)↙(≸≮⊺⇮5075))∖⊺⇮2504⩦⊺⇮1647⊲⩕⊾(⊺⇮5671⨌↪)⊍⩺⋍(⨩∲⋌(⊺⇮4538≹⇙⪍⊺⇮1444))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12004,"operation_count":11,"complexity_ratio":1091.2727272727273,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2059,"base":10},"right_expr":{"type":"numeric_atoms","value":2789,"base":10}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":5075,"base":10}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2504,"base":10},"right_expr":{"type":"numeric_atoms","value":1647,"base":10}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":5671,"base":10}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4538,"base":10},"right_expr":{"type":"numeric_atoms","value":1444,"base":10}}}}},"used_operators":["tXD093vOjl","k2HlF1dBQh","yyfyN0ffXY","QMFrweE19q","AljMvE3RRm","OXDGMFPWZM","DmTXOeWf9t","0kmYd0q39Y","cWQsF5MvuD","aSik1wnThz","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","dWAJyo7jo9"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2059","layer":4},{"info":"number node, value=2789","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=2789, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16656","layer":3},{"info":"number node, value=5075","layer":4},{"info":"compute unary expreesion, input=5075, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16656, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":1},{"info":"number node, value=2504","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=2504, right_input=1647, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5008","layer":3},{"info":"number node, value=5671","layer":4},{"info":"compute unary expreesion, input=5671, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute binary expreesion, left_input=5008, right_input=-480, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-61998","layer":2},{"info":"number node, value=4538","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=4538, right_input=1444, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-61998, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(∤(⊺⇮2059⫡⨏⊺⇮2789)↙(≸≮⊺⇮5075))∖⊺⇮2504⩦⊺⇮1647⊲⩕⊾(⊺⇮5671⨌↪)⊍⩺⋍(⨩∲⋌(⊺⇮4538≹⇙⪍⊺⇮1444))=⊺⇮0","reverse_text":"⊺⇮0=(∤(⊺⇮2059⫡⨏⊺⇮2789)↙(≸≮⊺⇮5075))∖⊺⇮2504⩦⊺⇮1647⊲⩕⊾(⊺⇮5671⨌↪)⊍⩺⋍(⨩∲⋌(⊺⇮4538≹⇙⪍⊺⇮1444))","cot":[{"info":"⊺⇮2059⫡⨏⊺⇮2789=⊺⇮16656","layer":3},{"info":"≸≮⊺⇮5075=NaN","layer":3},{"info":"⊺⇮16656↙NaN=NaN","layer":2},{"info":"∤NaN=NaN","layer":1},{"info":"⊺⇮2504⩦⊺⇮1647=⊺⇮5008","layer":3},{"info":"⊺⇮5671⨌↪=⊺⇮-480","layer":3},{"info":"⊺⇮5008⊲⩕⊾⊺⇮-480=⊺⇮-61998","layer":2},{"info":"⊺⇮4538≹⇙⪍⊺⇮1444=NaN","layer":3},{"info":"⨩∲⋌NaN=NaN","layer":2},{"info":"⊺⇮-61998⊍⩺⋍NaN=NaN","layer":1},{"info":"NaN∖NaN=⊺⇮0","layer":0}]}
{"id":796,"expression_no_base_symbol":"(($3603$⊍⩺⋍$3865$)⪄$3558$↡⊰⫅$1750$)⩍⋽⫝̸($1111$⨚$2807$∟)≧⫂∧(⫟(⨙⪌($1804$∕⩚$5490$)))","expression":"((⊺⇮3603⊍⩺⋍⊺⇮3865)⪄⊺⇮3558↡⊰⫅⊺⇮1750)⩍⋽⫝̸(⊺⇮1111⨚⊺⇮2807∟)≧⫂∧(⫟(⨙⪌(⊺⇮1804∕⩚⊺⇮5490)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":51780,"operation_count":10,"complexity_ratio":5178.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3603,"base":10},"right_expr":{"type":"numeric_atoms","value":3865,"base":10}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3558,"base":10},"right_expr":{"type":"numeric_atoms","value":1750,"base":10}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1111,"base":10},"right_expr":{"type":"numeric_atoms","value":2807,"base":10}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1804,"base":10},"right_expr":{"type":"numeric_atoms","value":5490,"base":10}}}}},"used_operators":["Ph9nP6C5qx","BiWNJpBvwn","SUmda5xLS4","OXDGMFPWZM","VCtxkLNOzz","hTbEZDJLEm","nREPSIbpBE","z4E1FaHLuy","vEGLkm4Z2k","z9ffQ9n5Zr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⊺⇮1375","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3603","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=3865, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=3558","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=3558, right_input=1750, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3500","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3500, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1111","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=2807, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-8072","layer":3},{"info":"compute unary expreesion, input=-8072, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=113, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-322","layer":1},{"info":"number node, value=1804","layer":4},{"info":"number node, value=5490","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=5490, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1807","layer":3},{"info":"compute unary expreesion, input=-1807, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-1697","layer":1},{"info":"compute binary expreesion, left_input=-322, right_input=-1697, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1375","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3603⊍⩺⋍⊺⇮3865)⪄⊺⇮3558↡⊰⫅⊺⇮1750)⩍⋽⫝̸(⊺⇮1111⨚⊺⇮2807∟)≧⫂∧(⫟(⨙⪌(⊺⇮1804∕⩚⊺⇮5490)))=⊺⇮1375","reverse_text":"⊺⇮1375=((⊺⇮3603⊍⩺⋍⊺⇮3865)⪄⊺⇮3558↡⊰⫅⊺⇮1750)⩍⋽⫝̸(⊺⇮1111⨚⊺⇮2807∟)≧⫂∧(⫟(⨙⪌(⊺⇮1804∕⩚⊺⇮5490)))","cot":[{"info":"⊺⇮3603⊍⩺⋍⊺⇮3865=NaN","layer":3},{"info":"⊺⇮3558↡⊰⫅⊺⇮1750=⊺⇮3500","layer":3},{"info":"NaN⪄⊺⇮3500=⊺⇮3979","layer":2},{"info":"⊺⇮1111⨚⊺⇮2807=⊺⇮-8072","layer":3},{"info":"⊺⇮-8072∟=⊺⇮113","layer":2},{"info":"⊺⇮3979⩍⋽⫝̸⊺⇮113=⊺⇮-322","layer":1},{"info":"⊺⇮1804∕⩚⊺⇮5490=⊺⇮-1807","layer":3},{"info":"⨙⪌⊺⇮-1807=⊺⇮868","layer":2},{"info":"⫟⊺⇮868=⊺⇮-1697","layer":1},{"info":"⊺⇮-322≧⫂∧⊺⇮-1697=⊺⇮1375","layer":0}]}
{"id":797,"expression_no_base_symbol":"((⫇($2930$⪮%⊝$8760$))∧)⇴(∤$1161$)↳≱(≸$5488$)⪭($1767$⨿$2636$⇴$2724$⪮%⊝$5970$)","expression":"((⫇(⊺⇮2930⪮%⊝⊺⇮8760))∧)⇴(∤⊺⇮1161)↳≱(≸⊺⇮5488)⪭(⊺⇮1767⨿⊺⇮2636⇴⊺⇮2724⪮%⊝⊺⇮5970)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":427,"operation_count":11,"complexity_ratio":38.81818181818182,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2930,"base":10},"right_expr":{"type":"numeric_atoms","value":8760,"base":10}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1161,"base":10}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":5488,"base":10}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1767,"base":10},"right_expr":{"type":"numeric_atoms","value":2636,"base":10}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2724,"base":10},"right_expr":{"type":"numeric_atoms","value":5970,"base":10}}}}},"used_operators":["4JB6nKBMSY","z63VuFQld9","YjI8oCXuph","IWmyXbctLI","j9kHMeSvPp","JwTKLfZU96","k2HlF1dBQh","eOf03JbCpp","abYXlopdE0"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⊺⇮-734","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2930","layer":4},{"info":"number node, value=8760","layer":4},{"info":"compute binary expreesion, left_input=2930, right_input=8760, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6176","layer":3},{"info":"compute unary expreesion, input=6176, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-11138","layer":2},{"info":"compute unary expreesion, input=-11138, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=5488","layer":4},{"info":"compute unary expreesion, input=5488, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=58, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=1767","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=2636, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=2724","layer":4},{"info":"number node, value=5970","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=5970, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5764","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=5764, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=9228","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9228, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-174, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-734","layer":0}],"base":10,"result_base":10,"text":"((⫇(⊺⇮2930⪮%⊝⊺⇮8760))∧)⇴(∤⊺⇮1161)↳≱(≸⊺⇮5488)⪭(⊺⇮1767⨿⊺⇮2636⇴⊺⇮2724⪮%⊝⊺⇮5970)=⊺⇮-734","reverse_text":"⊺⇮-734=((⫇(⊺⇮2930⪮%⊝⊺⇮8760))∧)⇴(∤⊺⇮1161)↳≱(≸⊺⇮5488)⪭(⊺⇮1767⨿⊺⇮2636⇴⊺⇮2724⪮%⊝⊺⇮5970)","cot":[{"info":"⊺⇮2930⪮%⊝⊺⇮8760=⊺⇮6176","layer":3},{"info":"⫇⊺⇮6176=⊺⇮-11138","layer":2},{"info":"⊺⇮-11138∧=⊺⇮0","layer":1},{"info":"∤⊺⇮1161=⊺⇮9","layer":3},{"info":"≸⊺⇮5488=⊺⇮58","layer":3},{"info":"⊺⇮9↳≱⊺⇮58=⊺⇮0","layer":2},{"info":"⊺⇮1767⨿⊺⇮2636=⊺⇮-319","layer":3},{"info":"⊺⇮2724⪮%⊝⊺⇮5970=⊺⇮5764","layer":3},{"info":"⊺⇮-319⇴⊺⇮5764=⊺⇮9228","layer":2},{"info":"⊺⇮0⪭⊺⇮9228=⊺⇮-174","layer":1},{"info":"⊺⇮0⇴⊺⇮-174=⊺⇮-734","layer":0}]}
{"id":798,"expression_no_base_symbol":"((⊖$1063$)⨉)+⪬∐($3507$⪔⊥$1240$⪶≀⋏($2750$∷$1269$))⩒⫫((($5987$⫳≱↱$7389$)⊝)⨸⪁($2465$⪍↜⋙$2333$⪨≂$1820$∷$4424$))","expression":"((⊖⊺⇮1063)⨉)+⪬∐(⊺⇮3507⪔⊥⊺⇮1240⪶≀⋏(⊺⇮2750∷⊺⇮1269))⩒⫫(((⊺⇮5987⫳≱↱⊺⇮7389)⊝)⨸⪁(⊺⇮2465⪍↜⋙⊺⇮2333⪨≂⊺⇮1820∷⊺⇮4424))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":419,"operation_count":13,"complexity_ratio":32.23076923076923,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1063,"base":10}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3507,"base":10},"right_expr":{"type":"numeric_atoms","value":1240,"base":10}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2750,"base":10},"right_expr":{"type":"numeric_atoms","value":1269,"base":10}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5987,"base":10},"right_expr":{"type":"numeric_atoms","value":7389,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2465,"base":10},"right_expr":{"type":"numeric_atoms","value":2333,"base":10}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1820,"base":10},"right_expr":{"type":"numeric_atoms","value":4424,"base":10}}}}},"used_operators":["KFSx94NKJn","2GS7woTJqF","aMUSaJuDRU","U6pG0PXrV3","zR4jO40bMj","HJ9erzHUuu","D3AQDKkPcf","g55IO6H4Gj","O6EZ0fifGK","ZvLB05nZmT","sdazOOVcIp","L05ObWFQCd"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","g55IO6H4Gj","D4vGDi5EA2","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"compute unary expreesion, input=1063, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2328","layer":2},{"info":"number node, value=3507","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=3507, right_input=1240, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=11349","layer":3},{"info":"number node, value=2750","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=1269, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1269","layer":3},{"info":"compute binary expreesion, left_input=11349, right_input=1269, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-36817","layer":2},{"info":"compute binary expreesion, left_input=2328, right_input=-36817, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6984","layer":1},{"info":"number node, value=5987","layer":4},{"info":"number node, value=7389","layer":4},{"info":"compute binary expreesion, left_input=5987, right_input=7389, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-204","layer":2},{"info":"number node, value=2465","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=2333, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=264","layer":3},{"info":"number node, value=1820","layer":4},{"info":"number node, value=4424","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=4424, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4424","layer":3},{"info":"compute binary expreesion, left_input=264, right_input=4424, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8218","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=-8218, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-16844","layer":1},{"info":"compute binary expreesion, left_input=-6984, right_input=-16844, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":0}],"base":10,"result_base":10,"text":"((⊖⊺⇮1063)⨉)+⪬∐(⊺⇮3507⪔⊥⊺⇮1240⪶≀⋏(⊺⇮2750∷⊺⇮1269))⩒⫫(((⊺⇮5987⫳≱↱⊺⇮7389)⊝)⨸⪁(⊺⇮2465⪍↜⋙⊺⇮2333⪨≂⊺⇮1820∷⊺⇮4424))=⊺⇮160","reverse_text":"⊺⇮160=((⊖⊺⇮1063)⨉)+⪬∐(⊺⇮3507⪔⊥⊺⇮1240⪶≀⋏(⊺⇮2750∷⊺⇮1269))⩒⫫(((⊺⇮5987⫳≱↱⊺⇮7389)⊝)⨸⪁(⊺⇮2465⪍↜⋙⊺⇮2333⪨≂⊺⇮1820∷⊺⇮4424))","cot":[{"info":"⊖⊺⇮1063=⊺⇮0","layer":3},{"info":"⊺⇮0⨉=⊺⇮2328","layer":2},{"info":"⊺⇮3507⪔⊥⊺⇮1240=⊺⇮11349","layer":3},{"info":"⊺⇮2750∷⊺⇮1269=⊺⇮1269","layer":3},{"info":"⊺⇮11349⪶≀⋏⊺⇮1269=⊺⇮-36817","layer":2},{"info":"⊺⇮2328+⪬∐⊺⇮-36817=⊺⇮-6984","layer":1},{"info":"⊺⇮5987⫳≱↱⊺⇮7389=⊺⇮-204","layer":3},{"info":"⊺⇮-204⊝=⊺⇮-204","layer":2},{"info":"⊺⇮2465⪍↜⋙⊺⇮2333=⊺⇮264","layer":3},{"info":"⊺⇮1820∷⊺⇮4424=⊺⇮4424","layer":3},{"info":"⊺⇮264⪨≂⊺⇮4424=⊺⇮-8218","layer":2},{"info":"⊺⇮-204⨸⪁⊺⇮-8218=⊺⇮-16844","layer":1},{"info":"⊺⇮-6984⩒⫫⊺⇮-16844=⊺⇮160","layer":0}]}
{"id":799,"expression_no_base_symbol":"($5506$⫌⩉⩟$1374$)∳⫺($3696$↡⊰⫅$1679$)∓⋝(⩷$3617$⪢$4868$)⨸⪁((↯⪼$1180$)⫘($7006$⊋$1039$)⊪)","expression":"(⊺⇮5506⫌⩉⩟⊺⇮1374)∳⫺(⊺⇮3696↡⊰⫅⊺⇮1679)∓⋝(⩷⊺⇮3617⪢⊺⇮4868)⨸⪁((↯⪼⊺⇮1180)⫘(⊺⇮7006⊋⊺⇮1039)⊪)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":40698,"operation_count":11,"complexity_ratio":3699.818181818182,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5506,"base":10},"right_expr":{"type":"numeric_atoms","value":1374,"base":10}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3696,"base":10},"right_expr":{"type":"numeric_atoms","value":1679,"base":10}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3617,"base":10},"right_expr":{"type":"numeric_atoms","value":4868,"base":10}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1180,"base":10}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7006,"base":10},"right_expr":{"type":"numeric_atoms","value":1039,"base":10}}}}},"used_operators":["g55IO6H4Gj","PoHhknlbAi","AzXXKTstlj","XIIwhv8d0m","VCtxkLNOzz","1h0rLqGiFr","dWAJyo7jo9","zVYPLywUTj","48vC8HMD2b","8jW3W4yZS5","W4tP9CfskL"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⊺⇮134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5506","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=5506, right_input=1374, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3696","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=3696, right_input=1679, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3358","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=3358, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-6854","layer":2},{"info":"number node, value=3617","layer":4},{"info":"number node, value=4868","layer":4},{"info":"compute binary expreesion, left_input=3617, right_input=4868, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6854, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=7006","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=7006, right_input=1039, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=46054008","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=46054008, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=31605","layer":2},{"info":"compute unary expreesion, input=31605, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=134","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5506⫌⩉⩟⊺⇮1374)∳⫺(⊺⇮3696↡⊰⫅⊺⇮1679)∓⋝(⩷⊺⇮3617⪢⊺⇮4868)⨸⪁((↯⪼⊺⇮1180)⫘(⊺⇮7006⊋⊺⇮1039)⊪)=⊺⇮134","reverse_text":"⊺⇮134=(⊺⇮5506⫌⩉⩟⊺⇮1374)∳⫺(⊺⇮3696↡⊰⫅⊺⇮1679)∓⋝(⩷⊺⇮3617⪢⊺⇮4868)⨸⪁((↯⪼⊺⇮1180)⫘(⊺⇮7006⊋⊺⇮1039)⊪)","cot":[{"info":"⊺⇮5506⫌⩉⩟⊺⇮1374=⊺⇮-50","layer":3},{"info":"⊺⇮3696↡⊰⫅⊺⇮1679=⊺⇮3358","layer":3},{"info":"⊺⇮-50∳⫺⊺⇮3358=⊺⇮-6854","layer":2},{"info":"⊺⇮3617⪢⊺⇮4868=NaN","layer":3},{"info":"⩷NaN=NaN","layer":2},{"info":"⊺⇮-6854∓⋝NaN=⊺⇮67","layer":1},{"info":"↯⪼⊺⇮1180=⊺⇮-21","layer":3},{"info":"⊺⇮7006⊋⊺⇮1039=⊺⇮46054008","layer":3},{"info":"⊺⇮-21⫘⊺⇮46054008=⊺⇮31605","layer":2},{"info":"⊺⇮31605⊪=⊺⇮0","layer":1},{"info":"⊺⇮67⨸⪁⊺⇮0=⊺⇮134","layer":0}]}
{"id":800,"expression_no_base_symbol":"(($4730$⨒$2476$)⇐≅)⨰(≔(↣≠⋷$6633$))⫔⩽⩺(($5446$∠⫱$1392$)⇴(↯⪼$5652$)⊝)","expression":"((⊺⇮4730⨒⊺⇮2476)⇐≅)⨰(≔(↣≠⋷⊺⇮6633))⫔⩽⩺((⊺⇮5446∠⫱⊺⇮1392)⇴(↯⪼⊺⇮5652)⊝)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":159,"operation_count":10,"complexity_ratio":15.9,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4730,"base":10},"right_expr":{"type":"numeric_atoms","value":2476,"base":10}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6633,"base":10}}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5446,"base":10},"right_expr":{"type":"numeric_atoms","value":1392,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5652,"base":10}}}}},"used_operators":["i9eR4S00cU","eewbuw0ToL","wEfv7U73WA","y75s1iXyHd","8FLs4eVsLt","Asc51vEJeQ","O6EZ0fifGK","4JB6nKBMSY","QvoQhV0rrE","8jW3W4yZS5"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","XhwjNDsVaA","AHs5Up7iyr","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4730","layer":4},{"info":"number node, value=2476","layer":4},{"info":"compute binary expreesion, left_input=4730, right_input=2476, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-28008","layer":3},{"info":"compute unary expreesion, input=-28008, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=27535","layer":2},{"info":"number node, value=6633","layer":4},{"info":"compute unary expreesion, input=6633, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=27535, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=5446","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=5446, right_input=1392, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=5652","layer":4},{"info":"compute unary expreesion, input=5652, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-21, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=6976","layer":2},{"info":"compute unary expreesion, input=6976, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=6976","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6976, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4730⨒⊺⇮2476)⇐≅)⨰(≔(↣≠⋷⊺⇮6633))⫔⩽⩺((⊺⇮5446∠⫱⊺⇮1392)⇴(↯⪼⊺⇮5652)⊝)=NaN","reverse_text":"NaN=((⊺⇮4730⨒⊺⇮2476)⇐≅)⨰(≔(↣≠⋷⊺⇮6633))⫔⩽⩺((⊺⇮5446∠⫱⊺⇮1392)⇴(↯⪼⊺⇮5652)⊝)","cot":[{"info":"⊺⇮4730⨒⊺⇮2476=⊺⇮-28008","layer":3},{"info":"⊺⇮-28008⇐≅=⊺⇮27535","layer":2},{"info":"↣≠⋷⊺⇮6633=NaN","layer":3},{"info":"≔NaN=NaN","layer":2},{"info":"⊺⇮27535⨰NaN=NaN","layer":1},{"info":"⊺⇮5446∠⫱⊺⇮1392=⊺⇮1234","layer":3},{"info":"↯⪼⊺⇮5652=⊺⇮-21","layer":3},{"info":"⊺⇮1234⇴⊺⇮-21=⊺⇮6976","layer":2},{"info":"⊺⇮6976⊝=⊺⇮6976","layer":1},{"info":"NaN⫔⩽⩺⊺⇮6976=NaN","layer":0}]}
{"id":801,"expression_no_base_symbol":"($1119$∌$2286$⪠⩆⊳)∠↢($4098$∌$1203$+$6135$∠↢$1011$)⫦⪉($3084$≁↽≥$4708$⩵∡$3892$≥⨤⩑$3639$)⊨($9912$⪭≯$1803$⨽$2768$⪬$1256$)","expression":"(⊺⇮1119∌⊺⇮2286⪠⩆⊳)∠↢(⊺⇮4098∌⊺⇮1203+⊺⇮6135∠↢⊺⇮1011)⫦⪉(⊺⇮3084≁↽≥⊺⇮4708⩵∡⊺⇮3892≥⨤⩑⊺⇮3639)⊨(⊺⇮9912⪭≯⊺⇮1803⨽⊺⇮2768⪬⊺⇮1256)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":865,"operation_count":14,"complexity_ratio":61.785714285714285,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1119,"base":10},"right_expr":{"type":"numeric_atoms","value":2286,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4098,"base":10},"right_expr":{"type":"numeric_atoms","value":1203,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":6135,"base":10},"right_expr":{"type":"numeric_atoms","value":1011,"base":10}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3084,"base":10},"right_expr":{"type":"numeric_atoms","value":4708,"base":10}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3892,"base":10},"right_expr":{"type":"numeric_atoms","value":3639,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":9912,"base":10},"right_expr":{"type":"numeric_atoms","value":1803,"base":10}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2768,"base":10},"right_expr":{"type":"numeric_atoms","value":1256,"base":10}}}}},"used_operators":["wscyQdcy20","KbjG8mgYpV","JLbD19bQDL","8cLx32lpNA","W4YGzv6Whe","vg4gO5BX6G","Y7wcNGrDQJ","ncHt1X6cMc","gJLn6v0xnP","8HhzD0ZcuI","XAx5wpdLa6","Ez1Nq5fNfI"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","oWn0xqSxBt","3Oe9XWJUTD","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⊺⇮-1084084","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=2286, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2286","layer":3},{"info":"compute unary expreesion, input=-2286, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=4098","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=1203, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1203","layer":3},{"info":"number node, value=6135","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=6135, right_input=1011, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-37612","layer":3},{"info":"compute binary expreesion, left_input=-1203, right_input=-37612, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-38815","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-38815, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=544492","layer":1},{"info":"number node, value=3084","layer":4},{"info":"number node, value=4708","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=4708, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=56192","layer":3},{"info":"number node, value=3892","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=3892, right_input=3639, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=56192, right_input=1234, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-111271","layer":2},{"info":"number node, value=9912","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=9912, right_input=1803, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=2768","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=1256, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-111271, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=544492, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1084084","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1119∌⊺⇮2286⪠⩆⊳)∠↢(⊺⇮4098∌⊺⇮1203+⊺⇮6135∠↢⊺⇮1011)⫦⪉(⊺⇮3084≁↽≥⊺⇮4708⩵∡⊺⇮3892≥⨤⩑⊺⇮3639)⊨(⊺⇮9912⪭≯⊺⇮1803⨽⊺⇮2768⪬⊺⇮1256)=⊺⇮-1084084","reverse_text":"⊺⇮-1084084=(⊺⇮1119∌⊺⇮2286⪠⩆⊳)∠↢(⊺⇮4098∌⊺⇮1203+⊺⇮6135∠↢⊺⇮1011)⫦⪉(⊺⇮3084≁↽≥⊺⇮4708⩵∡⊺⇮3892≥⨤⩑⊺⇮3639)⊨(⊺⇮9912⪭≯⊺⇮1803⨽⊺⇮2768⪬⊺⇮1256)","cot":[{"info":"⊺⇮1119∌⊺⇮2286=⊺⇮-2286","layer":3},{"info":"⊺⇮-2286⪠⩆⊳=⊺⇮0","layer":2},{"info":"⊺⇮4098∌⊺⇮1203=⊺⇮-1203","layer":3},{"info":"⊺⇮6135∠↢⊺⇮1011=⊺⇮-37612","layer":3},{"info":"⊺⇮-1203+⊺⇮-37612=⊺⇮-38815","layer":2},{"info":"⊺⇮0∠↢⊺⇮-38815=⊺⇮544492","layer":1},{"info":"⊺⇮3084≁↽≥⊺⇮4708=⊺⇮56192","layer":3},{"info":"⊺⇮3892≥⨤⩑⊺⇮3639=⊺⇮1234","layer":3},{"info":"⊺⇮56192⩵∡⊺⇮1234=⊺⇮-111271","layer":2},{"info":"⊺⇮9912⪭≯⊺⇮1803=NaN","layer":3},{"info":"⊺⇮2768⪬⊺⇮1256=⊺⇮1234","layer":3},{"info":"NaN⨽⊺⇮1234=NaN","layer":2},{"info":"⊺⇮-111271⊨NaN=NaN","layer":1},{"info":"⊺⇮544492⫦⪉NaN=⊺⇮-1084084","layer":0}]}
{"id":802,"expression_no_base_symbol":"($1884$⇡⇂$6534$∙∹∝(⩦⩻⨪$4427$))⩣⫁∢($4908$≌$4039$⇣⩺⋵($2089$↛⩡⫤))↸(($2443$⇻⋧≁$3267$⪒($1651$⇉⇱⇎))⫔⩽⩺(↞≼($1457$∓⋝$1942$)))","expression":"(⊺⇮1884⇡⇂⊺⇮6534∙∹∝(⩦⩻⨪⊺⇮4427))⩣⫁∢(⊺⇮4908≌⊺⇮4039⇣⩺⋵(⊺⇮2089↛⩡⫤))↸((⊺⇮2443⇻⋧≁⊺⇮3267⪒(⊺⇮1651⇉⇱⇎))⫔⩽⩺(↞≼(⊺⇮1457∓⋝⊺⇮1942)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62496,"operation_count":14,"complexity_ratio":4464.0,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1884,"base":10},"right_expr":{"type":"numeric_atoms","value":6534,"base":10}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4427,"base":10}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4908,"base":10},"right_expr":{"type":"numeric_atoms","value":4039,"base":10}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2089,"base":10}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2443,"base":10},"right_expr":{"type":"numeric_atoms","value":3267,"base":10}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1651,"base":10}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1457,"base":10},"right_expr":{"type":"numeric_atoms","value":1942,"base":10}}}}},"used_operators":["1eCjFl0mb9","JDUIKTTSIa","HmxsFra2vL","UMwdvZNt44","2td37pGCOC","F4yD0voBRQ","lyWz822IDG","FU0Cs4j7VP","i9eR4S00cU","f6k1SAg4EE","jCPkEVoL5K","MRPaB8lBjK","DE7zCoGJt9","PoHhknlbAi"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1884","layer":4},{"info":"number node, value=6534","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=6534, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=4427","layer":4},{"info":"compute unary expreesion, input=4427, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4427","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4427, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"number node, value=4908","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=4908, right_input=4039, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2089","layer":4},{"info":"compute unary expreesion, input=2089, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-311528","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-311528, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"number node, value=2443","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=3267, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1651","layer":4},{"info":"compute unary expreesion, input=1651, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-1433","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-1433, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1880","layer":2},{"info":"number node, value=1457","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=1942, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=122","layer":2},{"info":"compute binary expreesion, left_input=1880, right_input=122, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1884⇡⇂⊺⇮6534∙∹∝(⩦⩻⨪⊺⇮4427))⩣⫁∢(⊺⇮4908≌⊺⇮4039⇣⩺⋵(⊺⇮2089↛⩡⫤))↸((⊺⇮2443⇻⋧≁⊺⇮3267⪒(⊺⇮1651⇉⇱⇎))⫔⩽⩺(↞≼(⊺⇮1457∓⋝⊺⇮1942)))=NaN","reverse_text":"NaN=(⊺⇮1884⇡⇂⊺⇮6534∙∹∝(⩦⩻⨪⊺⇮4427))⩣⫁∢(⊺⇮4908≌⊺⇮4039⇣⩺⋵(⊺⇮2089↛⩡⫤))↸((⊺⇮2443⇻⋧≁⊺⇮3267⪒(⊺⇮1651⇉⇱⇎))⫔⩽⩺(↞≼(⊺⇮1457∓⋝⊺⇮1942)))","cot":[{"info":"⊺⇮1884⇡⇂⊺⇮6534=NaN","layer":3},{"info":"⩦⩻⨪⊺⇮4427=⊺⇮4427","layer":3},{"info":"NaN∙∹∝⊺⇮4427=NaN","layer":2},{"info":"⊺⇮4908≌⊺⇮4039=NaN","layer":3},{"info":"⊺⇮2089↛⩡⫤=⊺⇮-311528","layer":3},{"info":"NaN⇣⩺⋵⊺⇮-311528=⊺⇮-260","layer":2},{"info":"NaN⩣⫁∢⊺⇮-260=NaN","layer":1},{"info":"⊺⇮2443⇻⋧≁⊺⇮3267=⊺⇮-447","layer":3},{"info":"⊺⇮1651⇉⇱⇎=⊺⇮-1433","layer":3},{"info":"⊺⇮-447⪒⊺⇮-1433=⊺⇮1880","layer":2},{"info":"⊺⇮1457∓⋝⊺⇮1942=⊺⇮67","layer":3},{"info":"↞≼⊺⇮67=⊺⇮122","layer":2},{"info":"⊺⇮1880⫔⩽⩺⊺⇮122=NaN","layer":1},{"info":"NaN↸NaN=NaN","layer":0}]}
{"id":803,"expression_no_base_symbol":"(⩎⋉($6599$⇷$5077$))⨑⩅≇($6760$⩇∃⫛$2166$⫔⩽⩺$6061$⇻⋧≁$1688$)⫯⪬∳(≸$2462$⫘$7262$)↤⩊(⫵↿$7724$⇂≾⫗$2153$)","expression":"(⩎⋉(⊺⇮6599⇷⊺⇮5077))⨑⩅≇(⊺⇮6760⩇∃⫛⊺⇮2166⫔⩽⩺⊺⇮6061⇻⋧≁⊺⇮1688)⫯⪬∳(≸⊺⇮2462⫘⊺⇮7262)↤⩊(⫵↿⊺⇮7724⇂≾⫗⊺⇮2153)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":305076,"operation_count":12,"complexity_ratio":25423.0,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6599,"base":10},"right_expr":{"type":"numeric_atoms","value":5077,"base":10}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":6760,"base":10},"right_expr":{"type":"numeric_atoms","value":2166,"base":10}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":6061,"base":10},"right_expr":{"type":"numeric_atoms","value":1688,"base":10}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2462,"base":10},"right_expr":{"type":"numeric_atoms","value":7262,"base":10}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":7724,"base":10},"right_expr":{"type":"numeric_atoms","value":2153,"base":10}}}}},"used_operators":["d7ASUq0ydm","h92wMvzauj","FlXk3pOYe8","mp7IySMOzn","i9eR4S00cU","1aApVXNlOP","jCPkEVoL5K","13rbtpv6ld","eOf03JbCpp","48vC8HMD2b","ivGwdmUAux","aBQ6xLxuTc"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6599","layer":4},{"info":"number node, value=5077","layer":4},{"info":"compute binary expreesion, left_input=6599, right_input=5077, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10154","layer":3},{"info":"compute unary expreesion, input=10154, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":2},{"info":"number node, value=6760","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=6760, right_input=2166, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-4121","layer":3},{"info":"number node, value=6061","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=6061, right_input=1688, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-4121, right_input=-447, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":1},{"info":"number node, value=2462","layer":4},{"info":"number node, value=7262","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=7262, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2899717","layer":3},{"info":"compute unary expreesion, input=2899717, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"number node, value=7724","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=7724, right_input=2153, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=58, right_input=137, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩎⋉(⊺⇮6599⇷⊺⇮5077))⨑⩅≇(⊺⇮6760⩇∃⫛⊺⇮2166⫔⩽⩺⊺⇮6061⇻⋧≁⊺⇮1688)⫯⪬∳(≸⊺⇮2462⫘⊺⇮7262)↤⩊(⫵↿⊺⇮7724⇂≾⫗⊺⇮2153)=NaN","reverse_text":"NaN=(⩎⋉(⊺⇮6599⇷⊺⇮5077))⨑⩅≇(⊺⇮6760⩇∃⫛⊺⇮2166⫔⩽⩺⊺⇮6061⇻⋧≁⊺⇮1688)⫯⪬∳(≸⊺⇮2462⫘⊺⇮7262)↤⩊(⫵↿⊺⇮7724⇂≾⫗⊺⇮2153)","cot":[{"info":"⊺⇮6599⇷⊺⇮5077=⊺⇮10154","layer":3},{"info":"⩎⋉⊺⇮10154=⊺⇮1650","layer":2},{"info":"⊺⇮6760⩇∃⫛⊺⇮2166=⊺⇮-4121","layer":3},{"info":"⊺⇮6061⇻⋧≁⊺⇮1688=⊺⇮-447","layer":3},{"info":"⊺⇮-4121⫔⩽⩺⊺⇮-447=NaN","layer":2},{"info":"⊺⇮1650⨑⩅≇NaN=NaN","layer":1},{"info":"⊺⇮2462⫘⊺⇮7262=⊺⇮2899717","layer":3},{"info":"≸⊺⇮2899717=⊺⇮58","layer":2},{"info":"⊺⇮7724⇂≾⫗⊺⇮2153=⊺⇮-676","layer":3},{"info":"⫵↿⊺⇮-676=⊺⇮137","layer":2},{"info":"⊺⇮58↤⩊⊺⇮137=NaN","layer":1},{"info":"NaN⫯⪬∳NaN=NaN","layer":0}]}
{"id":804,"expression_no_base_symbol":"⇵⪽((($1804$≧⫂∧$1332$)⫲⨊)-$3340$⪢$1069$⇣⩺⋵($1599$↯⫤))","expression":"⇵⪽(((⊺⇮1804≧⫂∧⊺⇮1332)⫲⨊)-⊺⇮3340⪢⊺⇮1069⇣⩺⋵(⊺⇮1599↯⫤))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1748,"operation_count":7,"complexity_ratio":249.71428571428572,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1804,"base":10},"right_expr":{"type":"numeric_atoms","value":1332,"base":10}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3340,"base":10},"right_expr":{"type":"numeric_atoms","value":1069,"base":10}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1599,"base":10}}}}},"used_operators":["ZGCBLdVRRX","rysDP5nf3Z","CArV6hThFE","Ph9nP6C5qx","F4yD0voBRQ","dWAJyo7jo9","VwlE7vj6HS"],"dependent_operators":["U7g4x0WXJJ","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","k8jYdgA6NY","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1804","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=1332, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=859","layer":3},{"info":"compute unary expreesion, input=859, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=5078","layer":2},{"info":"number node, value=3340","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=1069, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=5078, right_input=-260, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5338","layer":1},{"info":"compute unary expreesion, input=5338, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇵⪽(((⊺⇮1804≧⫂∧⊺⇮1332)⫲⨊)-⊺⇮3340⪢⊺⇮1069⇣⩺⋵(⊺⇮1599↯⫤))=NaN","reverse_text":"NaN=⇵⪽(((⊺⇮1804≧⫂∧⊺⇮1332)⫲⨊)-⊺⇮3340⪢⊺⇮1069⇣⩺⋵(⊺⇮1599↯⫤))","cot":[{"info":"⊺⇮1804≧⫂∧⊺⇮1332=⊺⇮859","layer":3},{"info":"⊺⇮859⫲⨊=⊺⇮5078","layer":2},{"info":"⊺⇮3340⪢⊺⇮1069=NaN","layer":3},{"info":"⊺⇮1599↯⫤=⊺⇮0","layer":3},{"info":"NaN⇣⩺⋵⊺⇮0=⊺⇮-260","layer":2},{"info":"⊺⇮5078-⊺⇮-260=⊺⇮5338","layer":1},{"info":"⇵⪽⊺⇮5338=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"($4006$⪪$5664$≬⋮(⊽$1246$))⪭≯(($6137$⫌⩹⨱)∧)+(⊥($1292$⪒⊣⊆$6236$⨔≚≋$2951$∋$2158$))","expression":"(⊺⇮4006⪪⊺⇮5664≬⋮(⊽⊺⇮1246))⪭≯((⊺⇮6137⫌⩹⨱)∧)+(⊥(⊺⇮1292⪒⊣⊆⊺⇮6236⨔≚≋⊺⇮2951∋⊺⇮2158))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12535,"operation_count":11,"complexity_ratio":1139.5454545454545,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4006,"base":10},"right_expr":{"type":"numeric_atoms","value":5664,"base":10}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1246,"base":10}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6137,"base":10}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1292,"base":10},"right_expr":{"type":"numeric_atoms","value":6236,"base":10}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2951,"base":10},"right_expr":{"type":"numeric_atoms","value":2158,"base":10}}}}},"used_operators":["W4YGzv6Whe","XAx5wpdLa6","kbkesczE7y","xD69zh8xqp","QxG7OkqoLX","z63VuFQld9","EBcxylXtPf","Q3PJZHRvZv","Z57zeUYC9z","eRqsBgTDFp","ukq6epAj5P"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","W4YGzv6Whe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4006","layer":4},{"info":"number node, value=5664","layer":4},{"info":"compute binary expreesion, left_input=4006, right_input=5664, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-600995","layer":3},{"info":"number node, value=1246","layer":4},{"info":"compute unary expreesion, input=1246, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4014","layer":3},{"info":"compute binary expreesion, left_input=-600995, right_input=4014, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=6137","layer":4},{"info":"compute unary expreesion, input=6137, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13675","layer":3},{"info":"compute unary expreesion, input=13675, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=1292","layer":4},{"info":"number node, value=6236","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=6236, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2584","layer":3},{"info":"number node, value=2951","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=2158, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4571156","layer":3},{"info":"compute binary expreesion, left_input=2584, right_input=4571156, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute unary expreesion, input=9872, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4006⪪⊺⇮5664≬⋮(⊽⊺⇮1246))⪭≯((⊺⇮6137⫌⩹⨱)∧)+(⊥(⊺⇮1292⪒⊣⊆⊺⇮6236⨔≚≋⊺⇮2951∋⊺⇮2158))=NaN","reverse_text":"NaN=(⊺⇮4006⪪⊺⇮5664≬⋮(⊽⊺⇮1246))⪭≯((⊺⇮6137⫌⩹⨱)∧)+(⊥(⊺⇮1292⪒⊣⊆⊺⇮6236⨔≚≋⊺⇮2951∋⊺⇮2158))","cot":[{"info":"⊺⇮4006⪪⊺⇮5664=⊺⇮-600995","layer":3},{"info":"⊽⊺⇮1246=⊺⇮4014","layer":3},{"info":"⊺⇮-600995≬⋮⊺⇮4014=⊺⇮868","layer":2},{"info":"⊺⇮6137⫌⩹⨱=⊺⇮13675","layer":3},{"info":"⊺⇮13675∧=NaN","layer":2},{"info":"⊺⇮868⪭≯NaN=NaN","layer":1},{"info":"⊺⇮1292⪒⊣⊆⊺⇮6236=⊺⇮2584","layer":3},{"info":"⊺⇮2951∋⊺⇮2158=⊺⇮4571156","layer":3},{"info":"⊺⇮2584⨔≚≋⊺⇮4571156=⊺⇮9872","layer":2},{"info":"⊥⊺⇮9872=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"(((↞≼$1862$)⫡⨏$1883$⫞⩸⩒$5835$)≀⫉(⨵≀≌(⊬↢$8933$)))⇤((⊊≼∋($5625$⇴∐$1210$))⪎↠(($4519$≳⇉$3586$)⩼⇪↪($3885$⋷$5433$)))","expression":"(((↞≼⊺⇮1862)⫡⨏⊺⇮1883⫞⩸⩒⊺⇮5835)≀⫉(⨵≀≌(⊬↢⊺⇮8933)))⇤((⊊≼∋(⊺⇮5625⇴∐⊺⇮1210))⪎↠((⊺⇮4519≳⇉⊺⇮3586)⩼⇪↪(⊺⇮3885⋷⊺⇮5433)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":135205087,"operation_count":13,"complexity_ratio":10400391.307692308,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1862,"base":10}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1883,"base":10},"right_expr":{"type":"numeric_atoms","value":5835,"base":10}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":8933,"base":10}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5625,"base":10},"right_expr":{"type":"numeric_atoms","value":1210,"base":10}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4519,"base":10},"right_expr":{"type":"numeric_atoms","value":3586,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3885,"base":10},"right_expr":{"type":"numeric_atoms","value":5433,"base":10}}}}},"used_operators":["YSKBFp38Pu","oZj3VtZNQx","QMFrweE19q","DE7zCoGJt9","XGcMNugi78","srAu1WTS94","WPoGxAaPR1","3tVxb0NHM4","FWz7pXsQhA","HnzytWxmAO","ocnLzx9CaJ","V0kx6qeWkN","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","B5M0gjZbta","jCPkEVoL5K","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1862","layer":4},{"info":"compute unary expreesion, input=1862, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=14482","layer":3},{"info":"number node, value=1883","layer":4},{"info":"number node, value=5835","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=5835, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5835","layer":3},{"info":"compute binary expreesion, left_input=14482, right_input=5835, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=84863","layer":2},{"info":"number node, value=8933","layer":4},{"info":"compute unary expreesion, input=8933, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=47524","layer":2},{"info":"compute binary expreesion, left_input=84863, right_input=47524, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=5625","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=5625, right_input=1210, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"number node, value=4519","layer":4},{"info":"number node, value=3586","layer":4},{"info":"compute binary expreesion, left_input=4519, right_input=3586, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=3885","layer":4},{"info":"number node, value=5433","layer":4},{"info":"compute binary expreesion, left_input=3885, right_input=5433, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6981","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6981, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((↞≼⊺⇮1862)⫡⨏⊺⇮1883⫞⩸⩒⊺⇮5835)≀⫉(⨵≀≌(⊬↢⊺⇮8933)))⇤((⊊≼∋(⊺⇮5625⇴∐⊺⇮1210))⪎↠((⊺⇮4519≳⇉⊺⇮3586)⩼⇪↪(⊺⇮3885⋷⊺⇮5433)))=NaN","reverse_text":"NaN=(((↞≼⊺⇮1862)⫡⨏⊺⇮1883⫞⩸⩒⊺⇮5835)≀⫉(⨵≀≌(⊬↢⊺⇮8933)))⇤((⊊≼∋(⊺⇮5625⇴∐⊺⇮1210))⪎↠((⊺⇮4519≳⇉⊺⇮3586)⩼⇪↪(⊺⇮3885⋷⊺⇮5433)))","cot":[{"info":"↞≼⊺⇮1862=⊺⇮14482","layer":3},{"info":"⊺⇮1883⫞⩸⩒⊺⇮5835=⊺⇮5835","layer":3},{"info":"⊺⇮14482⫡⨏⊺⇮5835=⊺⇮84863","layer":2},{"info":"⊬↢⊺⇮8933=⊺⇮218","layer":3},{"info":"⨵≀≌⊺⇮218=⊺⇮47524","layer":2},{"info":"⊺⇮84863≀⫉⊺⇮47524=⊺⇮2822","layer":1},{"info":"⊺⇮5625⇴∐⊺⇮1210=NaN","layer":3},{"info":"⊊≼∋NaN=NaN","layer":2},{"info":"⊺⇮4519≳⇉⊺⇮3586=NaN","layer":3},{"info":"⊺⇮3885⋷⊺⇮5433=⊺⇮6981","layer":3},{"info":"NaN⩼⇪↪⊺⇮6981=NaN","layer":2},{"info":"NaN⪎↠NaN=NaN","layer":1},{"info":"⊺⇮2822⇤NaN=NaN","layer":0}]}
{"id":807,"expression_no_base_symbol":"($1146$↳≱$5716$⪡$1447$≀⫉$1976$)⨐(∓($6986$⩵∡$4694$))⪒(↩(($2989$⨑≵⋬$6131$)⨱∎))","expression":"(⊺⇮1146↳≱⊺⇮5716⪡⊺⇮1447≀⫉⊺⇮1976)⨐(∓(⊺⇮6986⩵∡⊺⇮4694))⪒(↩((⊺⇮2989⨑≵⋬⊺⇮6131)⨱∎))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":324,"operation_count":10,"complexity_ratio":32.4,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1146,"base":10},"right_expr":{"type":"numeric_atoms","value":5716,"base":10}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1447,"base":10},"right_expr":{"type":"numeric_atoms","value":1976,"base":10}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":6986,"base":10},"right_expr":{"type":"numeric_atoms","value":4694,"base":10}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2989,"base":10},"right_expr":{"type":"numeric_atoms","value":6131,"base":10}}}}},"used_operators":["f6k1SAg4EE","Noe24qw2ks","oraRL2iQuh","JwTKLfZU96","oZj3VtZNQx","OwUj7dcsQK","Y7wcNGrDQJ","jLgFTUHLKL","MmTdOpaElr","XnXgA4xnOs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tifHPKVTfV","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⊺⇮-8716","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1146","layer":4},{"info":"number node, value=5716","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=5716, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1447","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=1976, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2822, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":2},{"info":"number node, value=6986","layer":4},{"info":"number node, value=4694","layer":4},{"info":"compute binary expreesion, left_input=6986, right_input=4694, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-9399","layer":3},{"info":"compute unary expreesion, input=-9399, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=136113","layer":2},{"info":"compute binary expreesion, left_input=-1936, right_input=136113, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=3872","layer":1},{"info":"number node, value=2989","layer":4},{"info":"number node, value=6131","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=6131, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-26593","layer":3},{"info":"compute unary expreesion, input=-26593, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":1},{"info":"compute binary expreesion, left_input=3872, right_input=4844, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8716","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1146↳≱⊺⇮5716⪡⊺⇮1447≀⫉⊺⇮1976)⨐(∓(⊺⇮6986⩵∡⊺⇮4694))⪒(↩((⊺⇮2989⨑≵⋬⊺⇮6131)⨱∎))=⊺⇮-8716","reverse_text":"⊺⇮-8716=(⊺⇮1146↳≱⊺⇮5716⪡⊺⇮1447≀⫉⊺⇮1976)⨐(∓(⊺⇮6986⩵∡⊺⇮4694))⪒(↩((⊺⇮2989⨑≵⋬⊺⇮6131)⨱∎))","cot":[{"info":"⊺⇮1146↳≱⊺⇮5716=⊺⇮0","layer":3},{"info":"⊺⇮1447≀⫉⊺⇮1976=⊺⇮2822","layer":3},{"info":"⊺⇮0⪡⊺⇮2822=⊺⇮-1936","layer":2},{"info":"⊺⇮6986⩵∡⊺⇮4694=⊺⇮-9399","layer":3},{"info":"∓⊺⇮-9399=⊺⇮136113","layer":2},{"info":"⊺⇮-1936⨐⊺⇮136113=⊺⇮3872","layer":1},{"info":"⊺⇮2989⨑≵⋬⊺⇮6131=⊺⇮-26593","layer":3},{"info":"⊺⇮-26593⨱∎=⊺⇮0","layer":2},{"info":"↩⊺⇮0=⊺⇮4844","layer":1},{"info":"⊺⇮3872⪒⊺⇮4844=⊺⇮-8716","layer":0}]}
{"id":808,"expression_no_base_symbol":"((($3726$⫦⪉$5998$)↯⫤)≚⊃≕($6672$≥⨤⩑$2654$)⨼⩣(⫇$3101$))⊕∕((⇨$1259$⊱⇼⊻$1049$)⩣⫁∢($1606$⇻⋧≁$2309$⊓⋫))","expression":"(((⊺⇮3726⫦⪉⊺⇮5998)↯⫤)≚⊃≕(⊺⇮6672≥⨤⩑⊺⇮2654)⨼⩣(⫇⊺⇮3101))⊕∕((⇨⊺⇮1259⊱⇼⊻⊺⇮1049)⩣⫁∢(⊺⇮1606⇻⋧≁⊺⇮2309⊓⋫))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17089,"operation_count":12,"complexity_ratio":1424.0833333333333,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3726,"base":10},"right_expr":{"type":"numeric_atoms","value":5998,"base":10}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6672,"base":10},"right_expr":{"type":"numeric_atoms","value":2654,"base":10}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":3101,"base":10}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1259,"base":10},"right_expr":{"type":"numeric_atoms","value":1049,"base":10}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1606,"base":10},"right_expr":{"type":"numeric_atoms","value":2309,"base":10}}}}},"used_operators":["9cloC0Ngie","Bmrmz2XGnR","VwlE7vj6HS","wscyQdcy20","JxwMv5le6e","gJLn6v0xnP","YjI8oCXuph","JDUIKTTSIa","G9tJMlZ94a","FyVja0WsTP","IqGBaFP0uj","jCPkEVoL5K"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⊺⇮-23810","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3726","layer":4},{"info":"number node, value=5998","layer":4},{"info":"compute binary expreesion, left_input=3726, right_input=5998, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2552","layer":3},{"info":"compute unary expreesion, input=-2552, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=5104","layer":2},{"info":"number node, value=6672","layer":4},{"info":"number node, value=2654","layer":4},{"info":"compute binary expreesion, left_input=6672, right_input=2654, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=3101","layer":4},{"info":"compute unary expreesion, input=3101, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4988","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-4988, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5104, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-23810","layer":1},{"info":"number node, value=1259","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=1049, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=1606","layer":4},{"info":"number node, value=2309","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=2309, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=319","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=319, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":1},{"info":"compute binary expreesion, left_input=-23810, right_input=161, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-23810","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮3726⫦⪉⊺⇮5998)↯⫤)≚⊃≕(⊺⇮6672≥⨤⩑⊺⇮2654)⨼⩣(⫇⊺⇮3101))⊕∕((⇨⊺⇮1259⊱⇼⊻⊺⇮1049)⩣⫁∢(⊺⇮1606⇻⋧≁⊺⇮2309⊓⋫))=⊺⇮-23810","reverse_text":"⊺⇮-23810=(((⊺⇮3726⫦⪉⊺⇮5998)↯⫤)≚⊃≕(⊺⇮6672≥⨤⩑⊺⇮2654)⨼⩣(⫇⊺⇮3101))⊕∕((⇨⊺⇮1259⊱⇼⊻⊺⇮1049)⩣⫁∢(⊺⇮1606⇻⋧≁⊺⇮2309⊓⋫))","cot":[{"info":"⊺⇮3726⫦⪉⊺⇮5998=⊺⇮-2552","layer":3},{"info":"⊺⇮-2552↯⫤=⊺⇮5104","layer":2},{"info":"⊺⇮6672≥⨤⩑⊺⇮2654=⊺⇮1234","layer":3},{"info":"⫇⊺⇮3101=⊺⇮-4988","layer":3},{"info":"⊺⇮1234⨼⩣⊺⇮-4988=NaN","layer":2},{"info":"⊺⇮5104≚⊃≕NaN=⊺⇮-23810","layer":1},{"info":"⊺⇮1259⊱⇼⊻⊺⇮1049=⊺⇮434","layer":3},{"info":"⇨⊺⇮434=⊺⇮0","layer":2},{"info":"⊺⇮1606⇻⋧≁⊺⇮2309=⊺⇮-447","layer":3},{"info":"⊺⇮-447⊓⋫=⊺⇮319","layer":2},{"info":"⊺⇮0⩣⫁∢⊺⇮319=⊺⇮161","layer":1},{"info":"⊺⇮-23810⊕∕⊺⇮161=⊺⇮-23810","layer":0}]}
{"id":809,"expression_no_base_symbol":"($6586$⋹⋡⊁$3801$)⪃⊛⇣($1714$∷$4234$)↢($4362$⊬⨰$6955$⇮⋭($1960$⫏⊷))⊋(($6899$↠)+⇶⊼$1524$≚⊃≕$3721$)⩖⊿(($2188$/$1531$)⊍⩺⋍($3069$⨵⪆$1787$))","expression":"(⊺⇮6586⋹⋡⊁⊺⇮3801)⪃⊛⇣(⊺⇮1714∷⊺⇮4234)↢(⊺⇮4362⊬⨰⊺⇮6955⇮⋭(⊺⇮1960⫏⊷))⊋((⊺⇮6899↠)+⇶⊼⊺⇮1524≚⊃≕⊺⇮3721)⩖⊿((⊺⇮2188/⊺⇮1531)⊍⩺⋍(⊺⇮3069⨵⪆⊺⇮1787))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":69562,"operation_count":15,"complexity_ratio":4637.466666666666,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6586,"base":10},"right_expr":{"type":"numeric_atoms","value":3801,"base":10}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1714,"base":10},"right_expr":{"type":"numeric_atoms","value":4234,"base":10}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4362,"base":10},"right_expr":{"type":"numeric_atoms","value":6955,"base":10}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1960,"base":10}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":6899,"base":10}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1524,"base":10},"right_expr":{"type":"numeric_atoms","value":3721,"base":10}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2188,"base":10},"right_expr":{"type":"numeric_atoms","value":1531,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3069,"base":10},"right_expr":{"type":"numeric_atoms","value":1787,"base":10}}}}},"used_operators":["W4tP9CfskL","WR6HLWljOP","rrgAzCduG9","As8RqfVLgs","D3AQDKkPcf","vkpjKywKVM","s3Fd5m9Dh2","dcShxvzhyw","RZ5CV9rWsJ","TpPTUOHfaN","LBdsKIvxzf","Bmrmz2XGnR","OXDGMFPWZM","XhwjNDsVaA","2DQ55sFlQl"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","NTOWxs364D","7j4O788W3g","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","AHs5Up7iyr","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6586","layer":4},{"info":"number node, value=3801","layer":4},{"info":"compute binary expreesion, left_input=6586, right_input=3801, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4551","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=4234, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4234","layer":3},{"info":"compute binary expreesion, left_input=4551, right_input=4234, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=4362","layer":4},{"info":"number node, value=6955","layer":4},{"info":"compute binary expreesion, left_input=4362, right_input=6955, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=31126","layer":3},{"info":"number node, value=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=31126, right_input=-820, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=67, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=750","layer":1},{"info":"number node, value=6899","layer":4},{"info":"compute unary expreesion, input=6899, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=1524","layer":4},{"info":"number node, value=3721","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=3721, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-11611","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-11611, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2188","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=1531, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3069","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=3069, right_input=1787, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=160, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=750, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮6586⋹⋡⊁⊺⇮3801)⪃⊛⇣(⊺⇮1714∷⊺⇮4234)↢(⊺⇮4362⊬⨰⊺⇮6955⇮⋭(⊺⇮1960⫏⊷))⊋((⊺⇮6899↠)+⇶⊼⊺⇮1524≚⊃≕⊺⇮3721)⩖⊿((⊺⇮2188/⊺⇮1531)⊍⩺⋍(⊺⇮3069⨵⪆⊺⇮1787))=NaN","reverse_text":"NaN=(⊺⇮6586⋹⋡⊁⊺⇮3801)⪃⊛⇣(⊺⇮1714∷⊺⇮4234)↢(⊺⇮4362⊬⨰⊺⇮6955⇮⋭(⊺⇮1960⫏⊷))⊋((⊺⇮6899↠)+⇶⊼⊺⇮1524≚⊃≕⊺⇮3721)⩖⊿((⊺⇮2188/⊺⇮1531)⊍⩺⋍(⊺⇮3069⨵⪆⊺⇮1787))","cot":[{"info":"⊺⇮6586⋹⋡⊁⊺⇮3801=⊺⇮4551","layer":3},{"info":"⊺⇮1714∷⊺⇮4234=⊺⇮4234","layer":3},{"info":"⊺⇮4551⪃⊛⇣⊺⇮4234=⊺⇮1234","layer":2},{"info":"⊺⇮4362⊬⨰⊺⇮6955=⊺⇮31126","layer":3},{"info":"⊺⇮1960⫏⊷=⊺⇮-820","layer":3},{"info":"⊺⇮31126⇮⋭⊺⇮-820=⊺⇮67","layer":2},{"info":"⊺⇮1234↢⊺⇮67=⊺⇮750","layer":1},{"info":"⊺⇮6899↠=⊺⇮-447","layer":3},{"info":"⊺⇮1524≚⊃≕⊺⇮3721=⊺⇮-11611","layer":3},{"info":"⊺⇮-447+⇶⊼⊺⇮-11611=NaN","layer":2},{"info":"⊺⇮2188/⊺⇮1531=⊺⇮1","layer":3},{"info":"⊺⇮3069⨵⪆⊺⇮1787=⊺⇮160","layer":3},{"info":"⊺⇮1⊍⩺⋍⊺⇮160=NaN","layer":2},{"info":"NaN⩖⊿NaN=NaN","layer":1},{"info":"⊺⇮750⊋NaN=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"(∂($3750$∑⇟⊟$2548$)∛($3047$∪⫐$7295$))∷(≇⪴(⪨⨬($1940$⇮⋭$8535$)))","expression":"(∂(⊺⇮3750∑⇟⊟⊺⇮2548)∛(⊺⇮3047∪⫐⊺⇮7295))∷(≇⪴(⪨⨬(⊺⇮1940⇮⋭⊺⇮8535)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":204,"operation_count":8,"complexity_ratio":25.5,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3750,"base":10},"right_expr":{"type":"numeric_atoms","value":2548,"base":10}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3047,"base":10},"right_expr":{"type":"numeric_atoms","value":7295,"base":10}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1940,"base":10},"right_expr":{"type":"numeric_atoms","value":8535,"base":10}}}}},"used_operators":["D3AQDKkPcf","Uaa54Peajs","w2537kitQq","U7g4x0WXJJ","7YooWSwCyH","zoVPnxeHJ3","5obUd6DV38","vkpjKywKVM"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","2DDjHMKMc0","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","T2fj7uvVaJ","nlCqmYiOvY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3750","layer":4},{"info":"number node, value=2548","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=2548, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3047","layer":4},{"info":"number node, value=7295","layer":4},{"info":"compute binary expreesion, left_input=3047, right_input=7295, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3047","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3047, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=1940","layer":4},{"info":"number node, value=8535","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=8535, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute unary expreesion, input=-526, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2104","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2104, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∂(⊺⇮3750∑⇟⊟⊺⇮2548)∛(⊺⇮3047∪⫐⊺⇮7295))∷(≇⪴(⪨⨬(⊺⇮1940⇮⋭⊺⇮8535)))=NaN","reverse_text":"NaN=(∂(⊺⇮3750∑⇟⊟⊺⇮2548)∛(⊺⇮3047∪⫐⊺⇮7295))∷(≇⪴(⪨⨬(⊺⇮1940⇮⋭⊺⇮8535)))","cot":[{"info":"⊺⇮3750∑⇟⊟⊺⇮2548=NaN","layer":3},{"info":"⊺⇮3047∪⫐⊺⇮7295=⊺⇮3047","layer":3},{"info":"NaN∛⊺⇮3047=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⊺⇮1940⇮⋭⊺⇮8535=⊺⇮-473","layer":3},{"info":"⪨⨬⊺⇮-473=⊺⇮-526","layer":2},{"info":"≇⪴⊺⇮-526=⊺⇮-2104","layer":1},{"info":"NaN∷⊺⇮-2104=NaN","layer":0}]}
{"id":811,"expression_no_base_symbol":"(($1675$⪛$1204$⫦⪉$4409$⫁$1805$)⨭⪣($6958$⋝⋈⪟$6952$)↳∿⪆$2884$⨼⩣$1721$)+⪬∐($1072$⊋$5267$≀⩗∶$3853$⪪$7117$)↓(⨈⪑$7318$⪥$2171$)","expression":"((⊺⇮1675⪛⊺⇮1204⫦⪉⊺⇮4409⫁⊺⇮1805)⨭⪣(⊺⇮6958⋝⋈⪟⊺⇮6952)↳∿⪆⊺⇮2884⨼⩣⊺⇮1721)+⪬∐(⊺⇮1072⊋⊺⇮5267≀⩗∶⊺⇮3853⪪⊺⇮7117)↓(⨈⪑⊺⇮7318⪥⊺⇮2171)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":35482,"operation_count":14,"complexity_ratio":2534.4285714285716,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1675,"base":10},"right_expr":{"type":"numeric_atoms","value":1204,"base":10}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4409,"base":10},"right_expr":{"type":"numeric_atoms","value":1805,"base":10}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6958,"base":10},"right_expr":{"type":"numeric_atoms","value":6952,"base":10}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2884,"base":10},"right_expr":{"type":"numeric_atoms","value":1721,"base":10}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1072,"base":10},"right_expr":{"type":"numeric_atoms","value":5267,"base":10}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3853,"base":10},"right_expr":{"type":"numeric_atoms","value":7117,"base":10}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":7318,"base":10},"right_expr":{"type":"numeric_atoms","value":2171,"base":10}}}}},"used_operators":["2GS7woTJqF","kn8WO9XteQ","wscyQdcy20","uFcxV4UQCh","0ajvFaJAv0","Cw4SuJJGHO","2DDjHMKMc0","JxwMv5le6e","Af076pWI7l","8INZBEW696","W4tP9CfskL","xD69zh8xqp","mp94q5OcYM","QbnwKVWMIQ"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","cHh1gJQ2o6","AHs5Up7iyr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","FU0Cs4j7VP","JclMnS0uGI","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⊺⇮63","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1675","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=1204, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=471","layer":3},{"info":"number node, value=4409","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=4409, right_input=1805, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=471, right_input=160, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=3958","layer":2},{"info":"number node, value=6958","layer":4},{"info":"number node, value=6952","layer":4},{"info":"compute binary expreesion, left_input=6958, right_input=6952, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6958","layer":3},{"info":"number node, value=2884","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=2884, right_input=1721, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6958, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3958, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"number node, value=1072","layer":4},{"info":"number node, value=5267","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=5267, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-172440752","layer":3},{"info":"number node, value=3853","layer":4},{"info":"number node, value=7117","layer":4},{"info":"compute binary expreesion, left_input=3853, right_input=7117, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-577892","layer":3},{"info":"compute binary expreesion, left_input=-172440752, right_input=-577892, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"number node, value=7318","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=7318, right_input=2171, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=33924","layer":3},{"info":"compute unary expreesion, input=33924, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-134, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=63","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1675⪛⊺⇮1204⫦⪉⊺⇮4409⫁⊺⇮1805)⨭⪣(⊺⇮6958⋝⋈⪟⊺⇮6952)↳∿⪆⊺⇮2884⨼⩣⊺⇮1721)+⪬∐(⊺⇮1072⊋⊺⇮5267≀⩗∶⊺⇮3853⪪⊺⇮7117)↓(⨈⪑⊺⇮7318⪥⊺⇮2171)=⊺⇮63","reverse_text":"⊺⇮63=((⊺⇮1675⪛⊺⇮1204⫦⪉⊺⇮4409⫁⊺⇮1805)⨭⪣(⊺⇮6958⋝⋈⪟⊺⇮6952)↳∿⪆⊺⇮2884⨼⩣⊺⇮1721)+⪬∐(⊺⇮1072⊋⊺⇮5267≀⩗∶⊺⇮3853⪪⊺⇮7117)↓(⨈⪑⊺⇮7318⪥⊺⇮2171)","cot":[{"info":"⊺⇮1675⪛⊺⇮1204=⊺⇮471","layer":3},{"info":"⊺⇮4409⫁⊺⇮1805=⊺⇮160","layer":3},{"info":"⊺⇮471⫦⪉⊺⇮160=⊺⇮3958","layer":2},{"info":"⊺⇮6958⋝⋈⪟⊺⇮6952=⊺⇮6958","layer":3},{"info":"⊺⇮2884⨼⩣⊺⇮1721=NaN","layer":3},{"info":"⊺⇮6958↳∿⪆NaN=NaN","layer":2},{"info":"⊺⇮3958⨭⪣NaN=⊺⇮-21","layer":1},{"info":"⊺⇮1072⊋⊺⇮5267=⊺⇮-172440752","layer":3},{"info":"⊺⇮3853⪪⊺⇮7117=⊺⇮-577892","layer":3},{"info":"⊺⇮-172440752≀⩗∶⊺⇮-577892=⊺⇮0","layer":2},{"info":"⊺⇮7318⪥⊺⇮2171=⊺⇮33924","layer":3},{"info":"⨈⪑⊺⇮33924=⊺⇮868","layer":2},{"info":"⊺⇮0↓⊺⇮868=⊺⇮-134","layer":1},{"info":"⊺⇮-21+⪬∐⊺⇮-134=⊺⇮63","layer":0}]}
{"id":812,"expression_no_base_symbol":"(∷≠(⊢≑≆($1029$⪛$5253$)))∝(($2334$⪒⊣⊆$1444$≚⊃≕($2257$⫦⪉$4697$))⫿)","expression":"(∷≠(⊢≑≆(⊺⇮1029⪛⊺⇮5253)))∝((⊺⇮2334⪒⊣⊆⊺⇮1444≚⊃≕(⊺⇮2257⫦⪉⊺⇮4697))⫿)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":96,"operation_count":8,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1029,"base":10},"right_expr":{"type":"numeric_atoms","value":5253,"base":10}}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2334,"base":10},"right_expr":{"type":"numeric_atoms","value":1444,"base":10}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2257,"base":10},"right_expr":{"type":"numeric_atoms","value":4697,"base":10}}}}},"used_operators":["cTDWOvIxvz","QiR2Oyf5Xj","27wFxooxGf","uFcxV4UQCh","9tKT6PmtkH","Bmrmz2XGnR","eRqsBgTDFp","wscyQdcy20"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","7j4O788W3g","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⊺⇮4573","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=5253","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=5253, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1029","layer":3},{"info":"compute unary expreesion, input=1029, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4568","layer":2},{"info":"compute unary expreesion, input=4568, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4568","layer":1},{"info":"number node, value=2334","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=1444, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4668","layer":3},{"info":"number node, value=2257","layer":4},{"info":"number node, value=4697","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=4697, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=386","layer":3},{"info":"compute binary expreesion, left_input=4668, right_input=386, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=-1124","layer":1},{"info":"compute binary expreesion, left_input=4568, right_input=-1124, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4573","layer":0}],"base":10,"result_base":10,"text":"(∷≠(⊢≑≆(⊺⇮1029⪛⊺⇮5253)))∝((⊺⇮2334⪒⊣⊆⊺⇮1444≚⊃≕(⊺⇮2257⫦⪉⊺⇮4697))⫿)=⊺⇮4573","reverse_text":"⊺⇮4573=(∷≠(⊢≑≆(⊺⇮1029⪛⊺⇮5253)))∝((⊺⇮2334⪒⊣⊆⊺⇮1444≚⊃≕(⊺⇮2257⫦⪉⊺⇮4697))⫿)","cot":[{"info":"⊺⇮1029⪛⊺⇮5253=⊺⇮1029","layer":3},{"info":"⊢≑≆⊺⇮1029=⊺⇮4568","layer":2},{"info":"∷≠⊺⇮4568=⊺⇮4568","layer":1},{"info":"⊺⇮2334⪒⊣⊆⊺⇮1444=⊺⇮4668","layer":3},{"info":"⊺⇮2257⫦⪉⊺⇮4697=⊺⇮386","layer":3},{"info":"⊺⇮4668≚⊃≕⊺⇮386=⊺⇮67","layer":2},{"info":"⊺⇮67⫿=⊺⇮-1124","layer":1},{"info":"⊺⇮4568∝⊺⇮-1124=⊺⇮4573","layer":0}]}
{"id":813,"expression_no_base_symbol":"(⇈(⇋⊎⋝$1714$))⩣⫁∢(($4610$↼⊘⨖$7476$)⩁⩘($5307$⊹≧⊝))⩚⊴⇥(($4523$⫦⪉$1427$)⨚$1960$⊱⇼⊻$3108$⨵⪆(↓⇌($2281$⪨≂$6270$)))","expression":"(⇈(⇋⊎⋝⊺⇮1714))⩣⫁∢((⊺⇮4610↼⊘⨖⊺⇮7476)⩁⩘(⊺⇮5307⊹≧⊝))⩚⊴⇥((⊺⇮4523⫦⪉⊺⇮1427)⨚⊺⇮1960⊱⇼⊻⊺⇮3108⨵⪆(↓⇌(⊺⇮2281⪨≂⊺⇮6270)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2856,"operation_count":13,"complexity_ratio":219.69230769230768,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1714,"base":10}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4610,"base":10},"right_expr":{"type":"numeric_atoms","value":7476,"base":10}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":5307,"base":10}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4523,"base":10},"right_expr":{"type":"numeric_atoms","value":1427,"base":10}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1960,"base":10},"right_expr":{"type":"numeric_atoms","value":3108,"base":10}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2281,"base":10},"right_expr":{"type":"numeric_atoms","value":6270,"base":10}}}}},"used_operators":["NTOWxs364D","JDUIKTTSIa","SLLxy00UIr","CzM2PEoXns","gub5Cegaqo","bPywburJMS","LxFB4K6j0n","2DQ55sFlQl","nREPSIbpBE","wscyQdcy20","FyVja0WsTP","PxpmPgHHJV","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","dWAJyo7jo9","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮-2634","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1714","layer":4},{"info":"compute unary expreesion, input=1714, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=4610","layer":4},{"info":"number node, value=7476","layer":4},{"info":"compute binary expreesion, left_input=4610, right_input=7476, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=14730","layer":3},{"info":"number node, value=5307","layer":4},{"info":"compute unary expreesion, input=5307, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-21228","layer":3},{"info":"compute binary expreesion, left_input=14730, right_input=-21228, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-83964","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-83964, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=2353","layer":1},{"info":"number node, value=4523","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=1427, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4146","layer":3},{"info":"number node, value=1960","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=3108, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-4146, right_input=434, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-9094","layer":2},{"info":"number node, value=2281","layer":4},{"info":"number node, value=6270","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=6270, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7876","layer":3},{"info":"compute unary expreesion, input=-7876, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-15752","layer":2},{"info":"compute binary expreesion, left_input=-9094, right_input=-15752, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=2353, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2634","layer":0}],"base":10,"result_base":10,"text":"(⇈(⇋⊎⋝⊺⇮1714))⩣⫁∢((⊺⇮4610↼⊘⨖⊺⇮7476)⩁⩘(⊺⇮5307⊹≧⊝))⩚⊴⇥((⊺⇮4523⫦⪉⊺⇮1427)⨚⊺⇮1960⊱⇼⊻⊺⇮3108⨵⪆(↓⇌(⊺⇮2281⪨≂⊺⇮6270)))=⊺⇮-2634","reverse_text":"⊺⇮-2634=(⇈(⇋⊎⋝⊺⇮1714))⩣⫁∢((⊺⇮4610↼⊘⨖⊺⇮7476)⩁⩘(⊺⇮5307⊹≧⊝))⩚⊴⇥((⊺⇮4523⫦⪉⊺⇮1427)⨚⊺⇮1960⊱⇼⊻⊺⇮3108⨵⪆(↓⇌(⊺⇮2281⪨≂⊺⇮6270)))","cot":[{"info":"⇋⊎⋝⊺⇮1714=NaN","layer":3},{"info":"⇈NaN=⊺⇮-447","layer":2},{"info":"⊺⇮4610↼⊘⨖⊺⇮7476=⊺⇮14730","layer":3},{"info":"⊺⇮5307⊹≧⊝=⊺⇮-21228","layer":3},{"info":"⊺⇮14730⩁⩘⊺⇮-21228=⊺⇮-83964","layer":2},{"info":"⊺⇮-447⩣⫁∢⊺⇮-83964=⊺⇮2353","layer":1},{"info":"⊺⇮4523⫦⪉⊺⇮1427=⊺⇮-4146","layer":3},{"info":"⊺⇮1960⊱⇼⊻⊺⇮3108=⊺⇮434","layer":3},{"info":"⊺⇮-4146⨚⊺⇮434=⊺⇮-9094","layer":2},{"info":"⊺⇮2281⪨≂⊺⇮6270=⊺⇮-7876","layer":3},{"info":"↓⇌⊺⇮-7876=⊺⇮-15752","layer":2},{"info":"⊺⇮-9094⨵⪆⊺⇮-15752=⊺⇮160","layer":1},{"info":"⊺⇮2353⩚⊴⇥⊺⇮160=⊺⇮-2634","layer":0}]}
{"id":814,"expression_no_base_symbol":"($1272$⨒$2889$⫡⨏$4181$∴$7487$)≁↽≥(⊆⋠$6405$⫣⪄⊒$4705$)⋫","expression":"(⊺⇮1272⨒⊺⇮2889⫡⨏⊺⇮4181∴⊺⇮7487)≁↽≥(⊆⋠⊺⇮6405⫣⪄⊒⊺⇮4705)⋫","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":222713,"operation_count":7,"complexity_ratio":31816.14285714286,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1272,"base":10},"right_expr":{"type":"numeric_atoms","value":2889,"base":10}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4181,"base":10},"right_expr":{"type":"numeric_atoms","value":7487,"base":10}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6405,"base":10},"right_expr":{"type":"numeric_atoms","value":4705,"base":10}}}}},"used_operators":["JL8yIekQnl","ncHt1X6cMc","QMFrweE19q","y75s1iXyHd","hrf7POJlIJ","EBhcHTkKd8","RabNbG55vr"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⊺⇮222523","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2889, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7260","layer":3},{"info":"number node, value=4181","layer":4},{"info":"number node, value=7487","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=7487, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=10010","layer":3},{"info":"compute binary expreesion, left_input=-7260, right_input=10010, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-15497","layer":2},{"info":"number node, value=6405","layer":4},{"info":"number node, value=4705","layer":4},{"info":"compute binary expreesion, left_input=6405, right_input=4705, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-15932","layer":3},{"info":"compute unary expreesion, input=-15932, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=-15497, right_input=3979, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-222523","layer":1},{"info":"compute unary expreesion, input=-222523, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=222523","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1272⨒⊺⇮2889⫡⨏⊺⇮4181∴⊺⇮7487)≁↽≥(⊆⋠⊺⇮6405⫣⪄⊒⊺⇮4705)⋫=⊺⇮222523","reverse_text":"⊺⇮222523=(⊺⇮1272⨒⊺⇮2889⫡⨏⊺⇮4181∴⊺⇮7487)≁↽≥(⊆⋠⊺⇮6405⫣⪄⊒⊺⇮4705)⋫","cot":[{"info":"⊺⇮1272⨒⊺⇮2889=⊺⇮-7260","layer":3},{"info":"⊺⇮4181∴⊺⇮7487=⊺⇮10010","layer":3},{"info":"⊺⇮-7260⫡⨏⊺⇮10010=⊺⇮-15497","layer":2},{"info":"⊺⇮6405⫣⪄⊒⊺⇮4705=⊺⇮-15932","layer":3},{"info":"⊆⋠⊺⇮-15932=⊺⇮3979","layer":2},{"info":"⊺⇮-15497≁↽≥⊺⇮3979=⊺⇮-222523","layer":1},{"info":"⊺⇮-222523⋫=⊺⇮222523","layer":0}]}
{"id":815,"expression_no_base_symbol":"(⊬↢(∨∊⋏$1609$))⨐($5373$⫣⪄⊒$3010$⪡($3456$*$3641$))⪕(((⫡⇟⇯$2313$)≥⨤⩑($2119$⫸⊐$5930$))≎⊠⪸(↡($1021$⊝⪿⪼$3011$)))","expression":"(⊬↢(∨∊⋏⊺⇮1609))⨐(⊺⇮5373⫣⪄⊒⊺⇮3010⪡(⊺⇮3456*⊺⇮3641))⪕(((⫡⇟⇯⊺⇮2313)≥⨤⩑(⊺⇮2119⫸⊐⊺⇮5930))≎⊠⪸(↡(⊺⇮1021⊝⪿⪼⊺⇮3011)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29389,"operation_count":13,"complexity_ratio":2260.6923076923076,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1609,"base":10}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5373,"base":10},"right_expr":{"type":"numeric_atoms","value":3010,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3456,"base":10},"right_expr":{"type":"numeric_atoms","value":3641,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2313,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2119,"base":10},"right_expr":{"type":"numeric_atoms","value":5930,"base":10}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1021,"base":10},"right_expr":{"type":"numeric_atoms","value":3011,"base":10}}}}},"used_operators":["umQnsF7QlU","Noe24qw2ks","WPoGxAaPR1","R5aXW34M0v","oraRL2iQuh","RabNbG55vr","9HNa5Wba9A","bJkvcejdHO","gJLn6v0xnP","qWUSsah53b","mqXw5SEYmG","MXaNJeIAZ3","3Oe9XWJUTD"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","P8v4zCKN1o","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⊺⇮-55","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=25415","layer":3},{"info":"compute unary expreesion, input=25415, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"number node, value=5373","layer":4},{"info":"number node, value=3010","layer":4},{"info":"compute binary expreesion, left_input=5373, right_input=3010, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7826","layer":3},{"info":"number node, value=3456","layer":4},{"info":"number node, value=3641","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=3641, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12583296","layer":3},{"info":"compute binary expreesion, left_input=-7826, right_input=12583296, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=16620","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=16620, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-436","layer":1},{"info":"number node, value=2313","layer":4},{"info":"compute unary expreesion, input=2313, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5494","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=5930","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=5930, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23595","layer":3},{"info":"compute binary expreesion, left_input=5494, right_input=23595, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1021","layer":4},{"info":"number node, value=3011","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=3011, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=25247","layer":3},{"info":"compute unary expreesion, input=25247, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=227223","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=227223, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=319133","layer":1},{"info":"compute binary expreesion, left_input=-436, right_input=319133, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":0}],"base":10,"result_base":10,"text":"(⊬↢(∨∊⋏⊺⇮1609))⨐(⊺⇮5373⫣⪄⊒⊺⇮3010⪡(⊺⇮3456*⊺⇮3641))⪕(((⫡⇟⇯⊺⇮2313)≥⨤⩑(⊺⇮2119⫸⊐⊺⇮5930))≎⊠⪸(↡(⊺⇮1021⊝⪿⪼⊺⇮3011)))=⊺⇮-55","reverse_text":"⊺⇮-55=(⊬↢(∨∊⋏⊺⇮1609))⨐(⊺⇮5373⫣⪄⊒⊺⇮3010⪡(⊺⇮3456*⊺⇮3641))⪕(((⫡⇟⇯⊺⇮2313)≥⨤⩑(⊺⇮2119⫸⊐⊺⇮5930))≎⊠⪸(↡(⊺⇮1021⊝⪿⪼⊺⇮3011)))","cot":[{"info":"∨∊⋏⊺⇮1609=⊺⇮25415","layer":3},{"info":"⊬↢⊺⇮25415=⊺⇮218","layer":2},{"info":"⊺⇮5373⫣⪄⊒⊺⇮3010=⊺⇮-7826","layer":3},{"info":"⊺⇮3456*⊺⇮3641=⊺⇮12583296","layer":3},{"info":"⊺⇮-7826⪡⊺⇮12583296=⊺⇮16620","layer":2},{"info":"⊺⇮218⨐⊺⇮16620=⊺⇮-436","layer":1},{"info":"⫡⇟⇯⊺⇮2313=⊺⇮5494","layer":3},{"info":"⊺⇮2119⫸⊐⊺⇮5930=⊺⇮23595","layer":3},{"info":"⊺⇮5494≥⨤⩑⊺⇮23595=⊺⇮1234","layer":2},{"info":"⊺⇮1021⊝⪿⪼⊺⇮3011=⊺⇮25247","layer":3},{"info":"↡⊺⇮25247=⊺⇮227223","layer":2},{"info":"⊺⇮1234≎⊠⪸⊺⇮227223=⊺⇮319133","layer":1},{"info":"⊺⇮-436⪕⊺⇮319133=⊺⇮-55","layer":0}]}
{"id":816,"expression_no_base_symbol":"($1865$*$5193$)⊉↱≁($4061$≳⇉$4926$)⨟⋌⩍(($2168$⪁$4785$)%$1007$⨐$3109$)⨔≚≋((($2801$⪃↞⩐)⫃⨇$1291$≧⫂∧$2724$)⨳⩥⨓(⨡↴($1663$⩢≌)))","expression":"(⊺⇮1865*⊺⇮5193)⊉↱≁(⊺⇮4061≳⇉⊺⇮4926)⨟⋌⩍((⊺⇮2168⪁⊺⇮4785)%⊺⇮1007⨐⊺⇮3109)⨔≚≋(((⊺⇮2801⪃↞⩐)⫃⨇⊺⇮1291≧⫂∧⊺⇮2724)⨳⩥⨓(⨡↴(⊺⇮1663⩢≌)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":372366382,"operation_count":14,"complexity_ratio":26597598.714285713,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1865,"base":10},"right_expr":{"type":"numeric_atoms","value":5193,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4061,"base":10},"right_expr":{"type":"numeric_atoms","value":4926,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2168,"base":10},"right_expr":{"type":"numeric_atoms","value":4785,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1007,"base":10},"right_expr":{"type":"numeric_atoms","value":3109,"base":10}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":2801,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1291,"base":10},"right_expr":{"type":"numeric_atoms","value":2724,"base":10}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1663,"base":10}}}}},"used_operators":["Z57zeUYC9z","rGHVDoGpnC","w2P8NbNXyL","9HNa5Wba9A","V0kx6qeWkN","k8jYdgA6NY","I7sXao9hZE","Noe24qw2ks","nCS4ZIUYfx","09Ly4LVMIf","grXIztHqDa","Ph9nP6C5qx","liw5iZPkLH","D617RFjZIq"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Tcnh7f0tEr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","P8v4zCKN1o","hTbEZDJLEm","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1865","layer":4},{"info":"number node, value=5193","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=5193, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9684945","layer":3},{"info":"number node, value=4061","layer":4},{"info":"number node, value=4926","layer":4},{"info":"compute binary expreesion, left_input=4061, right_input=4926, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9684945, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"number node, value=2168","layer":4},{"info":"number node, value=4785","layer":4},{"info":"compute binary expreesion, left_input=2168, right_input=4785, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=3109, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2014","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2014, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2801","layer":4},{"info":"compute unary expreesion, input=2801, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=17112","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=2724","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=2724, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2251","layer":3},{"info":"compute binary expreesion, left_input=17112, right_input=2251, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9036","layer":2},{"info":"number node, value=1663","layer":4},{"info":"compute unary expreesion, input=1663, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1162","layer":2},{"info":"compute binary expreesion, left_input=-9036, right_input=1162, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=10198","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10198, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1865*⊺⇮5193)⊉↱≁(⊺⇮4061≳⇉⊺⇮4926)⨟⋌⩍((⊺⇮2168⪁⊺⇮4785)%⊺⇮1007⨐⊺⇮3109)⨔≚≋(((⊺⇮2801⪃↞⩐)⫃⨇⊺⇮1291≧⫂∧⊺⇮2724)⨳⩥⨓(⨡↴(⊺⇮1663⩢≌)))=NaN","reverse_text":"NaN=(⊺⇮1865*⊺⇮5193)⊉↱≁(⊺⇮4061≳⇉⊺⇮4926)⨟⋌⩍((⊺⇮2168⪁⊺⇮4785)%⊺⇮1007⨐⊺⇮3109)⨔≚≋(((⊺⇮2801⪃↞⩐)⫃⨇⊺⇮1291≧⫂∧⊺⇮2724)⨳⩥⨓(⨡↴(⊺⇮1663⩢≌)))","cot":[{"info":"⊺⇮1865*⊺⇮5193=⊺⇮9684945","layer":3},{"info":"⊺⇮4061≳⇉⊺⇮4926=NaN","layer":3},{"info":"⊺⇮9684945⊉↱≁NaN=NaN","layer":2},{"info":"⊺⇮2168⪁⊺⇮4785=NaN","layer":3},{"info":"⊺⇮1007⨐⊺⇮3109=⊺⇮-2014","layer":3},{"info":"NaN%⊺⇮-2014=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⊺⇮2801⪃↞⩐=⊺⇮17112","layer":3},{"info":"⊺⇮1291≧⫂∧⊺⇮2724=⊺⇮2251","layer":3},{"info":"⊺⇮17112⫃⨇⊺⇮2251=⊺⇮-9036","layer":2},{"info":"⊺⇮1663⩢≌=⊺⇮113","layer":3},{"info":"⨡↴⊺⇮113=⊺⇮1162","layer":2},{"info":"⊺⇮-9036⨳⩥⨓⊺⇮1162=⊺⇮10198","layer":1},{"info":"NaN⨔≚≋⊺⇮10198=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"(($1920$⊱⇼⊻$1575$)⩁⩘($1839$≀⫉$1680$)≧⫂∧(≤/$2224$)⋣⋖($1135$⋾⨃∁$5466$))≨(($4966$∙⊟$1099$↪⪝)⊝⪿⪼($1533$∺≝⩲$2175$⋅⇍(⩰$3282$)))","expression":"((⊺⇮1920⊱⇼⊻⊺⇮1575)⩁⩘(⊺⇮1839≀⫉⊺⇮1680)≧⫂∧(≤/⊺⇮2224)⋣⋖(⊺⇮1135⋾⨃∁⊺⇮5466))≨((⊺⇮4966∙⊟⊺⇮1099↪⪝)⊝⪿⪼(⊺⇮1533∺≝⩲⊺⇮2175⋅⇍(⩰⊺⇮3282)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11540,"operation_count":14,"complexity_ratio":824.2857142857143,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1920,"base":10},"right_expr":{"type":"numeric_atoms","value":1575,"base":10}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1839,"base":10},"right_expr":{"type":"numeric_atoms","value":1680,"base":10}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2224,"base":10}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1135,"base":10},"right_expr":{"type":"numeric_atoms","value":5466,"base":10}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4966,"base":10},"right_expr":{"type":"numeric_atoms","value":1099,"base":10}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1533,"base":10},"right_expr":{"type":"numeric_atoms","value":2175,"base":10}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":3282,"base":10}}}}},"used_operators":["0KMCeP1Jsh","Ph9nP6C5qx","gub5Cegaqo","FyVja0WsTP","oZj3VtZNQx","J0M6qkBnIM","eLAdDNolq6","212REbPD9h","3Oe9XWJUTD","l07mrZUIn9","SxTAKzQCrw","AdZkA7nFnk","KPf6cnQVty","WkeUrDK8WX"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9HNa5Wba9A","2DDjHMKMc0","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"⊺⇮-137284","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1920","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=1575, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1839","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1839, right_input=1680, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=2822, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=12236","layer":2},{"info":"number node, value=2224","layer":4},{"info":"compute unary expreesion, input=2224, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1740","layer":3},{"info":"number node, value=1135","layer":4},{"info":"number node, value=5466","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=5466, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=298705874","layer":3},{"info":"compute binary expreesion, left_input=-1740, right_input=298705874, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-1740","layer":2},{"info":"compute binary expreesion, left_input=12236, right_input=-1740, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=13976","layer":1},{"info":"number node, value=4966","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=4966, right_input=1099, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=74404","layer":3},{"info":"compute unary expreesion, input=74404, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":2},{"info":"number node, value=1533","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=2175, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-4282","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4282, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-733","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-733, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=13976, right_input=inf, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-137284","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1920⊱⇼⊻⊺⇮1575)⩁⩘(⊺⇮1839≀⫉⊺⇮1680)≧⫂∧(≤/⊺⇮2224)⋣⋖(⊺⇮1135⋾⨃∁⊺⇮5466))≨((⊺⇮4966∙⊟⊺⇮1099↪⪝)⊝⪿⪼(⊺⇮1533∺≝⩲⊺⇮2175⋅⇍(⩰⊺⇮3282)))=⊺⇮-137284","reverse_text":"⊺⇮-137284=((⊺⇮1920⊱⇼⊻⊺⇮1575)⩁⩘(⊺⇮1839≀⫉⊺⇮1680)≧⫂∧(≤/⊺⇮2224)⋣⋖(⊺⇮1135⋾⨃∁⊺⇮5466))≨((⊺⇮4966∙⊟⊺⇮1099↪⪝)⊝⪿⪼(⊺⇮1533∺≝⩲⊺⇮2175⋅⇍(⩰⊺⇮3282)))","cot":[{"info":"⊺⇮1920⊱⇼⊻⊺⇮1575=⊺⇮434","layer":3},{"info":"⊺⇮1839≀⫉⊺⇮1680=⊺⇮2822","layer":3},{"info":"⊺⇮434⩁⩘⊺⇮2822=⊺⇮12236","layer":2},{"info":"≤/⊺⇮2224=⊺⇮-1740","layer":3},{"info":"⊺⇮1135⋾⨃∁⊺⇮5466=⊺⇮298705874","layer":3},{"info":"⊺⇮-1740⋣⋖⊺⇮298705874=⊺⇮-1740","layer":2},{"info":"⊺⇮12236≧⫂∧⊺⇮-1740=⊺⇮13976","layer":1},{"info":"⊺⇮4966∙⊟⊺⇮1099=⊺⇮74404","layer":3},{"info":"⊺⇮74404↪⪝=Inf","layer":2},{"info":"⊺⇮1533∺≝⩲⊺⇮2175=⊺⇮160","layer":3},{"info":"⩰⊺⇮3282=⊺⇮-4282","layer":3},{"info":"⊺⇮160⋅⇍⊺⇮-4282=⊺⇮-733","layer":2},{"info":"Inf⊝⪿⪼⊺⇮-733=Inf","layer":1},{"info":"⊺⇮13976≨Inf=⊺⇮-137284","layer":0}]}
{"id":818,"expression_no_base_symbol":"((($1119$≃⋄)⪡($1579$⩚⊴⇥$1484$))⪪(⊖∈($2337$∟)))⩼⇪↪((($1035$⨎$4768$)⊚⫡⫭)↱(≘$4206$)≦↸($3637$→⨶⪴$2394$))","expression":"(((⊺⇮1119≃⋄)⪡(⊺⇮1579⩚⊴⇥⊺⇮1484))⪪(⊖∈(⊺⇮2337∟)))⩼⇪↪(((⊺⇮1035⨎⊺⇮4768)⊚⫡⫭)↱(≘⊺⇮4206)≦↸(⊺⇮3637→⨶⪴⊺⇮2394))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23299,"operation_count":13,"complexity_ratio":1792.2307692307693,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1119,"base":10}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1579,"base":10},"right_expr":{"type":"numeric_atoms","value":1484,"base":10}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":2337,"base":10}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1035,"base":10},"right_expr":{"type":"numeric_atoms","value":4768,"base":10}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4206,"base":10}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3637,"base":10},"right_expr":{"type":"numeric_atoms","value":2394,"base":10}}}}},"used_operators":["ocnLzx9CaJ","xD69zh8xqp","oraRL2iQuh","aN9a90urxU","NTOWxs364D","YFxL8Sc2Zy","hTbEZDJLEm","SR5kFfdi6N","SpZWOsLKZJ","rJVOvQCfKK","RygbFNSyEJ","tcjXMdvYtA","bF6eod5Gvf"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","uFcxV4UQCh","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","8w2t5hMYqp","9FxExcQeMw"],"result":"⊺⇮517098341","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=1579","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=1484, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3184","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=-3184, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-3079","layer":2},{"info":"number node, value=2337","layer":4},{"info":"compute unary expreesion, input=2337, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=-3334","layer":2},{"info":"compute binary expreesion, left_input=-3079, right_input=-3334, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1078170","layer":1},{"info":"number node, value=1035","layer":4},{"info":"number node, value=4768","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=4768, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4768","layer":3},{"info":"compute unary expreesion, input=4768, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-8610","layer":2},{"info":"number node, value=4206","layer":4},{"info":"compute unary expreesion, input=4206, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=9275014","layer":3},{"info":"number node, value=3637","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=3637, right_input=2394, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7182","layer":3},{"info":"compute binary expreesion, left_input=9275014, right_input=-7182, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9274333","layer":2},{"info":"compute binary expreesion, left_input=-8610, right_input=-9274333, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-74179352","layer":1},{"info":"compute binary expreesion, left_input=-1078170, right_input=-74179352, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=517098341","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1119≃⋄)⪡(⊺⇮1579⩚⊴⇥⊺⇮1484))⪪(⊖∈(⊺⇮2337∟)))⩼⇪↪(((⊺⇮1035⨎⊺⇮4768)⊚⫡⫭)↱(≘⊺⇮4206)≦↸(⊺⇮3637→⨶⪴⊺⇮2394))=⊺⇮517098341","reverse_text":"⊺⇮517098341=(((⊺⇮1119≃⋄)⪡(⊺⇮1579⩚⊴⇥⊺⇮1484))⪪(⊖∈(⊺⇮2337∟)))⩼⇪↪(((⊺⇮1035⨎⊺⇮4768)⊚⫡⫭)↱(≘⊺⇮4206)≦↸(⊺⇮3637→⨶⪴⊺⇮2394))","cot":[{"info":"⊺⇮1119≃⋄=⊺⇮764","layer":3},{"info":"⊺⇮1579⩚⊴⇥⊺⇮1484=⊺⇮-3184","layer":3},{"info":"⊺⇮764⪡⊺⇮-3184=⊺⇮-3079","layer":2},{"info":"⊺⇮2337∟=⊺⇮113","layer":3},{"info":"⊖∈⊺⇮113=⊺⇮-3334","layer":2},{"info":"⊺⇮-3079⪪⊺⇮-3334=⊺⇮-1078170","layer":1},{"info":"⊺⇮1035⨎⊺⇮4768=⊺⇮4768","layer":3},{"info":"⊺⇮4768⊚⫡⫭=⊺⇮-8610","layer":2},{"info":"≘⊺⇮4206=⊺⇮9275014","layer":3},{"info":"⊺⇮3637→⨶⪴⊺⇮2394=⊺⇮-7182","layer":3},{"info":"⊺⇮9275014≦↸⊺⇮-7182=⊺⇮-9274333","layer":2},{"info":"⊺⇮-8610↱⊺⇮-9274333=⊺⇮-74179352","layer":1},{"info":"⊺⇮-1078170⩼⇪↪⊺⇮-74179352=⊺⇮517098341","layer":0}]}
{"id":819,"expression_no_base_symbol":"↣≠⋷($5114$⨜⨶$1871$↬⩅∪)⨂≜(⩏⊷≩($2772$↫))","expression":"↣≠⋷(⊺⇮5114⨜⨶⊺⇮1871↬⩅∪)⨂≜(⩏⊷≩(⊺⇮2772↫))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12719,"operation_count":6,"complexity_ratio":2119.8333333333335,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5114,"base":10},"right_expr":{"type":"numeric_atoms","value":1871,"base":10}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":2772,"base":10}}}}},"used_operators":["Asc51vEJeQ","k1SHOSEABc","VJ330n2nnx","HiPekx5b7W","uOZ1tnYMDE","uPb5QRN0te"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5114","layer":4},{"info":"number node, value=1871","layer":4},{"info":"compute binary expreesion, left_input=5114, right_input=1871, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3486","layer":3},{"info":"compute unary expreesion, input=-3486, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=10458","layer":2},{"info":"number node, value=2772","layer":4},{"info":"compute unary expreesion, input=2772, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=-26","layer":2},{"info":"compute binary expreesion, left_input=10458, right_input=-26, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↣≠⋷(⊺⇮5114⨜⨶⊺⇮1871↬⩅∪)⨂≜(⩏⊷≩(⊺⇮2772↫))=NaN","reverse_text":"NaN=↣≠⋷(⊺⇮5114⨜⨶⊺⇮1871↬⩅∪)⨂≜(⩏⊷≩(⊺⇮2772↫))","cot":[{"info":"⊺⇮5114⨜⨶⊺⇮1871=⊺⇮-3486","layer":3},{"info":"⊺⇮-3486↬⩅∪=⊺⇮10458","layer":2},{"info":"⊺⇮2772↫=⊺⇮160","layer":3},{"info":"⩏⊷≩⊺⇮160=⊺⇮-26","layer":2},{"info":"⊺⇮10458⨂≜⊺⇮-26=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":820,"expression_no_base_symbol":"⩏⊷≩(($1008$⇗⋫)⨔≚≋($1106$≃$4066$))⫞⩸⩒((⩩$3258$)⇣⩺⋵($1080$⋓$2528$))","expression":"⩏⊷≩((⊺⇮1008⇗⋫)⨔≚≋(⊺⇮1106≃⊺⇮4066))⫞⩸⩒((⩩⊺⇮3258)⇣⩺⋵(⊺⇮1080⋓⊺⇮2528))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4336,"operation_count":8,"complexity_ratio":542.0,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1008,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1106,"base":10},"right_expr":{"type":"numeric_atoms","value":4066,"base":10}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":3258,"base":10}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1080,"base":10},"right_expr":{"type":"numeric_atoms","value":2528,"base":10}}}}},"used_operators":["uOZ1tnYMDE","XGcMNugi78","Z57zeUYC9z","hpqmaQFPrd","YbVcJGFEVW","F4yD0voBRQ","kMhfGuqI2H","T2fj7uvVaJ"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rxpJgHHUmx","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=4066, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4464","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4464, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=3258","layer":4},{"info":"compute unary expreesion, input=3258, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=2528","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=2528, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⩏⊷≩((⊺⇮1008⇗⋫)⨔≚≋(⊺⇮1106≃⊺⇮4066))⫞⩸⩒((⩩⊺⇮3258)⇣⩺⋵(⊺⇮1080⋓⊺⇮2528))=NaN","reverse_text":"NaN=⩏⊷≩((⊺⇮1008⇗⋫)⨔≚≋(⊺⇮1106≃⊺⇮4066))⫞⩸⩒((⩩⊺⇮3258)⇣⩺⋵(⊺⇮1080⋓⊺⇮2528))","cot":[{"info":"⊺⇮1008⇗⋫=NaN","layer":3},{"info":"⊺⇮1106≃⊺⇮4066=⊺⇮-4464","layer":3},{"info":"NaN⨔≚≋⊺⇮-4464=NaN","layer":2},{"info":"⩩⊺⇮3258=NaN","layer":3},{"info":"⊺⇮1080⋓⊺⇮2528=⊺⇮0","layer":3},{"info":"NaN⇣⩺⋵⊺⇮0=⊺⇮-260","layer":2},{"info":"NaN⫞⩸⩒⊺⇮-260=NaN","layer":1},{"info":"⩏⊷≩NaN=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"↨(⇜($5098$⇣⩺⋵$7436$∠⫱($1889$⋻⩜⩜$1459$)))","expression":"↨(⇜(⊺⇮5098⇣⩺⋵⊺⇮7436∠⫱(⊺⇮1889⋻⩜⩜⊺⇮1459)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20969,"operation_count":5,"complexity_ratio":4193.8,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5098,"base":10},"right_expr":{"type":"numeric_atoms","value":7436,"base":10}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1889,"base":10},"right_expr":{"type":"numeric_atoms","value":1459,"base":10}}}}},"used_operators":["jiX4gk2v2Q","lFBm8KRb8F","QvoQhV0rrE","F4yD0voBRQ","oDCm7WA9JY"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5098","layer":4},{"info":"number node, value=7436","layer":4},{"info":"compute binary expreesion, left_input=5098, right_input=7436, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1889","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=1459, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3778","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=3778, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-10280","layer":1},{"info":"compute unary expreesion, input=-10280, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↨(⇜(⊺⇮5098⇣⩺⋵⊺⇮7436∠⫱(⊺⇮1889⋻⩜⩜⊺⇮1459)))=NaN","reverse_text":"NaN=↨(⇜(⊺⇮5098⇣⩺⋵⊺⇮7436∠⫱(⊺⇮1889⋻⩜⩜⊺⇮1459)))","cot":[{"info":"⊺⇮5098⇣⩺⋵⊺⇮7436=⊺⇮-260","layer":3},{"info":"⊺⇮1889⋻⩜⩜⊺⇮1459=⊺⇮3778","layer":3},{"info":"⊺⇮-260∠⫱⊺⇮3778=⊺⇮1234","layer":2},{"info":"⇜⊺⇮1234=⊺⇮-10280","layer":1},{"info":"↨⊺⇮-10280=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"⋎⨆(⫛⫱⨽(($2790$⪇≇⋚$5852$)⇞))","expression":"⋎⨆(⫛⫱⨽((⊺⇮2790⪇≇⋚⊺⇮5852)⇞))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1479,"operation_count":4,"complexity_ratio":369.75,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2790,"base":10},"right_expr":{"type":"numeric_atoms","value":5852,"base":10}}}}},"used_operators":["E64sFOc4tB","DlLNRPXxWL","5JYyxRJd4f","3sJ7IOPOlU"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2790","layer":4},{"info":"number node, value=5852","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=5852, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":2},{"info":"compute unary expreesion, input=-537, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"⋎⨆(⫛⫱⨽((⊺⇮2790⪇≇⋚⊺⇮5852)⇞))=⊺⇮0","reverse_text":"⊺⇮0=⋎⨆(⫛⫱⨽((⊺⇮2790⪇≇⋚⊺⇮5852)⇞))","cot":[{"info":"⊺⇮2790⪇≇⋚⊺⇮5852=⊺⇮0","layer":3},{"info":"⊺⇮0⇞=⊺⇮-537","layer":2},{"info":"⫛⫱⨽⊺⇮-537=⊺⇮0","layer":1},{"info":"⋎⨆⊺⇮0=⊺⇮0","layer":0}]}
{"id":823,"expression_no_base_symbol":"($4466$⇡⇂$3741$⊹∫⫚$6484$⇌⫙⪟$2942$)⩦($5364$∼$3095$⨳⩥⨓$4998$⫞⩸⩒$1884$)≎⊠⪸(($1438$≥⨤⩑$1654$)⫏⊷)⨰($5015$⩚⊴⇥$4722$)↳∿⪆$3432$⨜⨶$1817$","expression":"(⊺⇮4466⇡⇂⊺⇮3741⊹∫⫚⊺⇮6484⇌⫙⪟⊺⇮2942)⩦(⊺⇮5364∼⊺⇮3095⨳⩥⨓⊺⇮4998⫞⩸⩒⊺⇮1884)≎⊠⪸((⊺⇮1438≥⨤⩑⊺⇮1654)⫏⊷)⨰(⊺⇮5015⩚⊴⇥⊺⇮4722)↳∿⪆⊺⇮3432⨜⨶⊺⇮1817","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":27701,"operation_count":14,"complexity_ratio":1978.642857142857,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4466,"base":10},"right_expr":{"type":"numeric_atoms","value":3741,"base":10}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":6484,"base":10},"right_expr":{"type":"numeric_atoms","value":2942,"base":10}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5364,"base":10},"right_expr":{"type":"numeric_atoms","value":3095,"base":10}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":4998,"base":10},"right_expr":{"type":"numeric_atoms","value":1884,"base":10}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1438,"base":10},"right_expr":{"type":"numeric_atoms","value":1654,"base":10}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5015,"base":10},"right_expr":{"type":"numeric_atoms","value":4722,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3432,"base":10},"right_expr":{"type":"numeric_atoms","value":1817,"base":10}}}}},"used_operators":["bJkvcejdHO","0kmYd0q39Y","uWAJUKEvyW","UMwdvZNt44","AFVx7xoS7T","nCS4ZIUYfx","DyGG3AbaNP","XGcMNugi78","eewbuw0ToL","dcShxvzhyw","gJLn6v0xnP","Cw4SuJJGHO","NTOWxs364D","HiPekx5b7W"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4466","layer":4},{"info":"number node, value=3741","layer":4},{"info":"compute binary expreesion, left_input=4466, right_input=3741, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=6484","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=6484, right_input=2942, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-340","layer":2},{"info":"number node, value=5364","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=5364, right_input=3095, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4998","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=4998, right_input=1884, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1884","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1884, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-340, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":1},{"info":"number node, value=1438","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=1654, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"number node, value=5015","layer":4},{"info":"number node, value=4722","layer":4},{"info":"compute binary expreesion, left_input=5015, right_input=4722, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9858","layer":3},{"info":"number node, value=3432","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=3432, right_input=1817, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3378","layer":3},{"info":"compute binary expreesion, left_input=-9858, right_input=-3378, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4466⇡⇂⊺⇮3741⊹∫⫚⊺⇮6484⇌⫙⪟⊺⇮2942)⩦(⊺⇮5364∼⊺⇮3095⨳⩥⨓⊺⇮4998⫞⩸⩒⊺⇮1884)≎⊠⪸((⊺⇮1438≥⨤⩑⊺⇮1654)⫏⊷)⨰(⊺⇮5015⩚⊴⇥⊺⇮4722)↳∿⪆⊺⇮3432⨜⨶⊺⇮1817=⊺⇮67","reverse_text":"⊺⇮67=(⊺⇮4466⇡⇂⊺⇮3741⊹∫⫚⊺⇮6484⇌⫙⪟⊺⇮2942)⩦(⊺⇮5364∼⊺⇮3095⨳⩥⨓⊺⇮4998⫞⩸⩒⊺⇮1884)≎⊠⪸((⊺⇮1438≥⨤⩑⊺⇮1654)⫏⊷)⨰(⊺⇮5015⩚⊴⇥⊺⇮4722)↳∿⪆⊺⇮3432⨜⨶⊺⇮1817","cot":[{"info":"⊺⇮4466⇡⇂⊺⇮3741=NaN","layer":3},{"info":"⊺⇮6484⇌⫙⪟⊺⇮2942=⊺⇮113","layer":3},{"info":"NaN⊹∫⫚⊺⇮113=⊺⇮-340","layer":2},{"info":"⊺⇮5364∼⊺⇮3095=NaN","layer":3},{"info":"⊺⇮4998⫞⩸⩒⊺⇮1884=⊺⇮1884","layer":3},{"info":"NaN⨳⩥⨓⊺⇮1884=NaN","layer":2},{"info":"⊺⇮-340⩦NaN=NaN","layer":1},{"info":"⊺⇮1438≥⨤⩑⊺⇮1654=⊺⇮1234","layer":3},{"info":"⊺⇮1234⫏⊷=⊺⇮-820","layer":2},{"info":"⊺⇮5015⩚⊴⇥⊺⇮4722=⊺⇮-9858","layer":3},{"info":"⊺⇮3432⨜⨶⊺⇮1817=⊺⇮-3378","layer":3},{"info":"⊺⇮-9858↳∿⪆⊺⇮-3378=NaN","layer":2},{"info":"⊺⇮-820⨰NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⊺⇮67","layer":0}]}
{"id":824,"expression_no_base_symbol":"(≔($8923$⪘⫢$1266$))≄⊠($2907$↸$4237$⪨≂$2547$≎⪠$1785$)%(↑(($1064$⨽⪊≇)⇷($3656$≧⫂∧$4568$)))","expression":"(≔(⊺⇮8923⪘⫢⊺⇮1266))≄⊠(⊺⇮2907↸⊺⇮4237⪨≂⊺⇮2547≎⪠⊺⇮1785)%(↑((⊺⇮1064⨽⪊≇)⇷(⊺⇮3656≧⫂∧⊺⇮4568)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":44645,"operation_count":11,"complexity_ratio":4058.6363636363635,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8923,"base":10},"right_expr":{"type":"numeric_atoms","value":1266,"base":10}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2907,"base":10},"right_expr":{"type":"numeric_atoms","value":4237,"base":10}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2547,"base":10},"right_expr":{"type":"numeric_atoms","value":1785,"base":10}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":1064,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3656,"base":10},"right_expr":{"type":"numeric_atoms","value":4568,"base":10}}}}},"used_operators":["k8jYdgA6NY","vXNesLlMH1","8FLs4eVsLt","oacrs7FA3X","sdazOOVcIp","1eCjFl0mb9","aNhz54LH3e","tR7O2zTn5j","mp7IySMOzn","nlCqmYiOvY","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮156","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8923","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=8923, right_input=1266, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17722","layer":3},{"info":"compute unary expreesion, input=17722, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-494922","layer":2},{"info":"number node, value=2907","layer":4},{"info":"number node, value=4237","layer":4},{"info":"compute binary expreesion, left_input=2907, right_input=4237, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2907","layer":3},{"info":"number node, value=2547","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=1785, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=2907, right_input=19558, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-33200","layer":2},{"info":"compute binary expreesion, left_input=-494922, right_input=-33200, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=1602","layer":3},{"info":"number node, value=3656","layer":4},{"info":"number node, value=4568","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=4568, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4095","layer":3},{"info":"compute binary expreesion, left_input=1602, right_input=4095, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8190","layer":2},{"info":"compute unary expreesion, input=8190, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=192, op_id = k8jYdgA6NY binary_op_definition= 'None', output=156","layer":0}],"base":10,"result_base":10,"text":"(≔(⊺⇮8923⪘⫢⊺⇮1266))≄⊠(⊺⇮2907↸⊺⇮4237⪨≂⊺⇮2547≎⪠⊺⇮1785)%(↑((⊺⇮1064⨽⪊≇)⇷(⊺⇮3656≧⫂∧⊺⇮4568)))=⊺⇮156","reverse_text":"⊺⇮156=(≔(⊺⇮8923⪘⫢⊺⇮1266))≄⊠(⊺⇮2907↸⊺⇮4237⪨≂⊺⇮2547≎⪠⊺⇮1785)%(↑((⊺⇮1064⨽⪊≇)⇷(⊺⇮3656≧⫂∧⊺⇮4568)))","cot":[{"info":"⊺⇮8923⪘⫢⊺⇮1266=⊺⇮17722","layer":3},{"info":"≔⊺⇮17722=⊺⇮-494922","layer":2},{"info":"⊺⇮2907↸⊺⇮4237=⊺⇮2907","layer":3},{"info":"⊺⇮2547≎⪠⊺⇮1785=⊺⇮19558","layer":3},{"info":"⊺⇮2907⪨≂⊺⇮19558=⊺⇮-33200","layer":2},{"info":"⊺⇮-494922≄⊠⊺⇮-33200=⊺⇮1500","layer":1},{"info":"⊺⇮1064⨽⪊≇=⊺⇮1602","layer":3},{"info":"⊺⇮3656≧⫂∧⊺⇮4568=⊺⇮4095","layer":3},{"info":"⊺⇮1602⇷⊺⇮4095=⊺⇮8190","layer":2},{"info":"↑⊺⇮8190=⊺⇮192","layer":1},{"info":"⊺⇮1500%⊺⇮192=⊺⇮156","layer":0}]}
{"id":825,"expression_no_base_symbol":"(↨⩢⫨$1050$⊢$9393$)∳⫺(⊲⪭($1743$↙$1319$))↛⩡⫤","expression":"(↨⩢⫨⊺⇮1050⊢⊺⇮9393)∳⫺(⊲⪭(⊺⇮1743↙⊺⇮1319))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24062,"operation_count":6,"complexity_ratio":4010.3333333333335,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1050,"base":10},"right_expr":{"type":"numeric_atoms","value":9393,"base":10}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1743,"base":10},"right_expr":{"type":"numeric_atoms","value":1319,"base":10}}}}},"used_operators":["FU0Cs4j7VP","AzXXKTstlj","Z5CJsN7DuW","5twsqlHp2o","k7HXdKtiEU","yyfyN0ffXY"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","i8ToyICDmI","xUOZtlo3hN","tmPS8pqC7x","DpFCA1CohY"],"result":"⊺⇮454","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1050","layer":4},{"info":"number node, value=9393","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=9393, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2344","layer":3},{"info":"compute unary expreesion, input=-2344, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=1743","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=1319, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3957","layer":3},{"info":"compute unary expreesion, input=-3957, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=3783","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3783, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-7504","layer":1},{"info":"compute unary expreesion, input=-7504, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=454","layer":0}],"base":10,"result_base":10,"text":"(↨⩢⫨⊺⇮1050⊢⊺⇮9393)∳⫺(⊲⪭(⊺⇮1743↙⊺⇮1319))↛⩡⫤=⊺⇮454","reverse_text":"⊺⇮454=(↨⩢⫨⊺⇮1050⊢⊺⇮9393)∳⫺(⊲⪭(⊺⇮1743↙⊺⇮1319))↛⩡⫤","cot":[{"info":"⊺⇮1050⊢⊺⇮9393=⊺⇮-2344","layer":3},{"info":"↨⩢⫨⊺⇮-2344=⊺⇮0","layer":2},{"info":"⊺⇮1743↙⊺⇮1319=⊺⇮-3957","layer":3},{"info":"⊲⪭⊺⇮-3957=⊺⇮3783","layer":2},{"info":"⊺⇮0∳⫺⊺⇮3783=⊺⇮-7504","layer":1},{"info":"⊺⇮-7504↛⩡⫤=⊺⇮454","layer":0}]}
{"id":826,"expression_no_base_symbol":"((⨙⪌($2346$↓$1902$))⪒($5211$⨸⪁$3714$)⪥$6097$⩼⇪↪$2255$)≦↸(⇾⩊⇾($2177$%$1818$)⨔⇊$3161$⫞⩸⩒$1063$)","expression":"((⨙⪌(⊺⇮2346↓⊺⇮1902))⪒(⊺⇮5211⨸⪁⊺⇮3714)⪥⊺⇮6097⩼⇪↪⊺⇮2255)≦↸(⇾⩊⇾(⊺⇮2177%⊺⇮1818)⨔⇊⊺⇮3161⫞⩸⩒⊺⇮1063)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27916,"operation_count":11,"complexity_ratio":2537.818181818182,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2346,"base":10},"right_expr":{"type":"numeric_atoms","value":1902,"base":10}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5211,"base":10},"right_expr":{"type":"numeric_atoms","value":3714,"base":10}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":6097,"base":10},"right_expr":{"type":"numeric_atoms","value":2255,"base":10}}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2177,"base":10},"right_expr":{"type":"numeric_atoms","value":1818,"base":10}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3161,"base":10},"right_expr":{"type":"numeric_atoms","value":1063,"base":10}}}}},"used_operators":["RygbFNSyEJ","f6k1SAg4EE","vEGLkm4Z2k","Af076pWI7l","QbnwKVWMIQ","g55IO6H4Gj","ocnLzx9CaJ","bx9Z9DAK5y","JclMnS0uGI","k8jYdgA6NY","XGcMNugi78"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⊺⇮1433","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2346","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=1902, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=5211","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=5211, right_input=3714, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17850","layer":3},{"info":"number node, value=6097","layer":4},{"info":"number node, value=2255","layer":4},{"info":"compute binary expreesion, left_input=6097, right_input=2255, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-4374","layer":3},{"info":"compute binary expreesion, left_input=17850, right_input=-4374, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-116, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-752","layer":1},{"info":"number node, value=2177","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=1818, op_id = k8jYdgA6NY binary_op_definition= 'None', output=359","layer":3},{"info":"number node, value=3161","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=3161, right_input=1063, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1063","layer":3},{"info":"compute binary expreesion, left_input=359, right_input=1063, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1063","layer":2},{"info":"compute unary expreesion, input=1063, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-16053","layer":1},{"info":"compute binary expreesion, left_input=-752, right_input=-16053, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1433","layer":0}],"base":10,"result_base":10,"text":"((⨙⪌(⊺⇮2346↓⊺⇮1902))⪒(⊺⇮5211⨸⪁⊺⇮3714)⪥⊺⇮6097⩼⇪↪⊺⇮2255)≦↸(⇾⩊⇾(⊺⇮2177%⊺⇮1818)⨔⇊⊺⇮3161⫞⩸⩒⊺⇮1063)=⊺⇮1433","reverse_text":"⊺⇮1433=((⨙⪌(⊺⇮2346↓⊺⇮1902))⪒(⊺⇮5211⨸⪁⊺⇮3714)⪥⊺⇮6097⩼⇪↪⊺⇮2255)≦↸(⇾⩊⇾(⊺⇮2177%⊺⇮1818)⨔⇊⊺⇮3161⫞⩸⩒⊺⇮1063)","cot":[{"info":"⊺⇮2346↓⊺⇮1902=⊺⇮-134","layer":3},{"info":"⨙⪌⊺⇮-134=⊺⇮868","layer":2},{"info":"⊺⇮5211⨸⪁⊺⇮3714=⊺⇮17850","layer":3},{"info":"⊺⇮6097⩼⇪↪⊺⇮2255=⊺⇮-4374","layer":3},{"info":"⊺⇮17850⪥⊺⇮-4374=⊺⇮-116","layer":2},{"info":"⊺⇮868⪒⊺⇮-116=⊺⇮-752","layer":1},{"info":"⊺⇮2177%⊺⇮1818=⊺⇮359","layer":3},{"info":"⊺⇮3161⫞⩸⩒⊺⇮1063=⊺⇮1063","layer":3},{"info":"⊺⇮359⨔⇊⊺⇮1063=⊺⇮1063","layer":2},{"info":"⇾⩊⇾⊺⇮1063=⊺⇮-16053","layer":1},{"info":"⊺⇮-752≦↸⊺⇮-16053=⊺⇮1433","layer":0}]}
{"id":827,"expression_no_base_symbol":"(($7989$≚⊃≕$1928$)⫁⪎($5166$⩺⪪$8575$)⇴(($2741$∲⫓$1029$)⋝⋈⪟($1659$⨑≵⋬$6168$)))≄⊠(⊙↵-$4106$)⋥⋵⩄$2887$↳≱$2474$↬($4720$⩁⩘$1278$⋥≓≎($3341$∲⫓$8371$))","expression":"((⊺⇮7989≚⊃≕⊺⇮1928)⫁⪎(⊺⇮5166⩺⪪⊺⇮8575)⇴((⊺⇮2741∲⫓⊺⇮1029)⋝⋈⪟(⊺⇮1659⨑≵⋬⊺⇮6168)))≄⊠(⊙↵-⊺⇮4106)⋥⋵⩄⊺⇮2887↳≱⊺⇮2474↬(⊺⇮4720⩁⩘⊺⇮1278⋥≓≎(⊺⇮3341∲⫓⊺⇮8371))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4566,"operation_count":15,"complexity_ratio":304.4,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":7989,"base":10},"right_expr":{"type":"numeric_atoms","value":1928,"base":10}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5166,"base":10},"right_expr":{"type":"numeric_atoms","value":8575,"base":10}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2741,"base":10},"right_expr":{"type":"numeric_atoms","value":1029,"base":10}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1659,"base":10},"right_expr":{"type":"numeric_atoms","value":6168,"base":10}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4106,"base":10}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2887,"base":10},"right_expr":{"type":"numeric_atoms","value":2474,"base":10}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4720,"base":10},"right_expr":{"type":"numeric_atoms","value":1278,"base":10}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3341,"base":10},"right_expr":{"type":"numeric_atoms","value":8371,"base":10}}}}},"used_operators":["vXNesLlMH1","4JB6nKBMSY","xRrnTEsQ6j","Bmrmz2XGnR","uvdQJvN4PV","2DDjHMKMc0","i8ToyICDmI","XnXgA4xnOs","B5M0gjZbta","7t3wd0Fuz7","oWn0xqSxBt","JwTKLfZU96","Qy55tPpLXF","gub5Cegaqo"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rGHVDoGpnC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI"],"result":"⊺⇮1500","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7989","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=7989, right_input=1928, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=5166","layer":4},{"info":"number node, value=8575","layer":4},{"info":"compute binary expreesion, left_input=5166, right_input=8575, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-1818, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1885","layer":2},{"info":"number node, value=2741","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=1029, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1659","layer":4},{"info":"number node, value=6168","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=6168, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-33502","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-33502, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1885, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=10924","layer":1},{"info":"number node, value=4106","layer":4},{"info":"compute unary expreesion, input=4106, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2887","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=2474, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=4720","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=4720, right_input=1278, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6060","layer":3},{"info":"number node, value=3341","layer":4},{"info":"number node, value=8371","layer":4},{"info":"compute binary expreesion, left_input=3341, right_input=8371, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6060, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6027","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6027, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=10924, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮7989≚⊃≕⊺⇮1928)⫁⪎(⊺⇮5166⩺⪪⊺⇮8575)⇴((⊺⇮2741∲⫓⊺⇮1029)⋝⋈⪟(⊺⇮1659⨑≵⋬⊺⇮6168)))≄⊠(⊙↵-⊺⇮4106)⋥⋵⩄⊺⇮2887↳≱⊺⇮2474↬(⊺⇮4720⩁⩘⊺⇮1278⋥≓≎(⊺⇮3341∲⫓⊺⇮8371))=⊺⇮1500","reverse_text":"⊺⇮1500=((⊺⇮7989≚⊃≕⊺⇮1928)⫁⪎(⊺⇮5166⩺⪪⊺⇮8575)⇴((⊺⇮2741∲⫓⊺⇮1029)⋝⋈⪟(⊺⇮1659⨑≵⋬⊺⇮6168)))≄⊠(⊙↵-⊺⇮4106)⋥⋵⩄⊺⇮2887↳≱⊺⇮2474↬(⊺⇮4720⩁⩘⊺⇮1278⋥≓≎(⊺⇮3341∲⫓⊺⇮8371))","cot":[{"info":"⊺⇮7989≚⊃≕⊺⇮1928=⊺⇮67","layer":3},{"info":"⊺⇮5166⩺⪪⊺⇮8575=⊺⇮-1818","layer":3},{"info":"⊺⇮67⫁⪎⊺⇮-1818=⊺⇮1885","layer":2},{"info":"⊺⇮2741∲⫓⊺⇮1029=⊺⇮0","layer":3},{"info":"⊺⇮1659⨑≵⋬⊺⇮6168=⊺⇮-33502","layer":3},{"info":"⊺⇮0⋝⋈⪟⊺⇮-33502=⊺⇮0","layer":2},{"info":"⊺⇮1885⇴⊺⇮0=⊺⇮10924","layer":1},{"info":"⊙↵-⊺⇮4106=⊺⇮-1","layer":3},{"info":"⊺⇮2887↳≱⊺⇮2474=⊺⇮0","layer":3},{"info":"⊺⇮-1⋥⋵⩄⊺⇮0=NaN","layer":2},{"info":"⊺⇮4720⩁⩘⊺⇮1278=⊺⇮6060","layer":3},{"info":"⊺⇮3341∲⫓⊺⇮8371=⊺⇮0","layer":3},{"info":"⊺⇮6060⋥≓≎⊺⇮0=⊺⇮-6027","layer":2},{"info":"NaN↬⊺⇮-6027=NaN","layer":1},{"info":"⊺⇮10924≄⊠NaN=⊺⇮1500","layer":0}]}
{"id":828,"expression_no_base_symbol":"$4602$∺≝⩲$2414$∋($1087$∇⊂⋱$4485$)⊬⨰($3877$⫲≸⪮$1109$)⇻⋧≁($4153$⪛$1427$)⫔⩽⩺($1390$⋥⋵⩄$1482$≬⇓(↨⩢⫨$4256$)⊾⪯⋞(⇵⪽($1648$⪭≯$6034$)))","expression":"⊺⇮4602∺≝⩲⊺⇮2414∋(⊺⇮1087∇⊂⋱⊺⇮4485)⊬⨰(⊺⇮3877⫲≸⪮⊺⇮1109)⇻⋧≁(⊺⇮4153⪛⊺⇮1427)⫔⩽⩺(⊺⇮1390⋥⋵⩄⊺⇮1482≬⇓(↨⩢⫨⊺⇮4256)⊾⪯⋞(⇵⪽(⊺⇮1648⪭≯⊺⇮6034)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8436,"operation_count":14,"complexity_ratio":602.5714285714286,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4602,"base":10},"right_expr":{"type":"numeric_atoms","value":2414,"base":10}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1087,"base":10},"right_expr":{"type":"numeric_atoms","value":4485,"base":10}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3877,"base":10},"right_expr":{"type":"numeric_atoms","value":1109,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4153,"base":10},"right_expr":{"type":"numeric_atoms","value":1427,"base":10}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1390,"base":10},"right_expr":{"type":"numeric_atoms","value":1482,"base":10}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":4256,"base":10}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1648,"base":10},"right_expr":{"type":"numeric_atoms","value":6034,"base":10}}}}},"used_operators":["i9eR4S00cU","s3Fd5m9Dh2","ukq6epAj5P","KPf6cnQVty","nhYeJWJD5X","jCPkEVoL5K","P3lXMJvFrc","uFcxV4UQCh","HK0tfVPux8","jWTQ2TZYIH","7t3wd0Fuz7","Z5CJsN7DuW","ZGCBLdVRRX","XAx5wpdLa6"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","U7g4x0WXJJ","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4602","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=4602, right_input=2414, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1087","layer":4},{"info":"number node, value=4485","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=4485, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1628","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1628, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3327864","layer":2},{"info":"number node, value=3877","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=3877, right_input=1109, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3877","layer":3},{"info":"number node, value=4153","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=4153, right_input=1427, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1299","layer":3},{"info":"compute binary expreesion, left_input=3877, right_input=1299, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=3327864, right_input=-447, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=3325020","layer":1},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1482, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=4256","layer":4},{"info":"compute unary expreesion, input=4256, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"number node, value=1648","layer":4},{"info":"number node, value=6034","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=6034, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3325020, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊺⇮4602∺≝⩲⊺⇮2414∋(⊺⇮1087∇⊂⋱⊺⇮4485)⊬⨰(⊺⇮3877⫲≸⪮⊺⇮1109)⇻⋧≁(⊺⇮4153⪛⊺⇮1427)⫔⩽⩺(⊺⇮1390⋥⋵⩄⊺⇮1482≬⇓(↨⩢⫨⊺⇮4256)⊾⪯⋞(⇵⪽(⊺⇮1648⪭≯⊺⇮6034)))=NaN","reverse_text":"NaN=⊺⇮4602∺≝⩲⊺⇮2414∋(⊺⇮1087∇⊂⋱⊺⇮4485)⊬⨰(⊺⇮3877⫲≸⪮⊺⇮1109)⇻⋧≁(⊺⇮4153⪛⊺⇮1427)⫔⩽⩺(⊺⇮1390⋥⋵⩄⊺⇮1482≬⇓(↨⩢⫨⊺⇮4256)⊾⪯⋞(⇵⪽(⊺⇮1648⪭≯⊺⇮6034)))","cot":[{"info":"⊺⇮4602∺≝⩲⊺⇮2414=⊺⇮160","layer":3},{"info":"⊺⇮1087∇⊂⋱⊺⇮4485=⊺⇮1628","layer":3},{"info":"⊺⇮160∋⊺⇮1628=⊺⇮3327864","layer":2},{"info":"⊺⇮3877⫲≸⪮⊺⇮1109=⊺⇮3877","layer":3},{"info":"⊺⇮4153⪛⊺⇮1427=⊺⇮1299","layer":3},{"info":"⊺⇮3877⇻⋧≁⊺⇮1299=⊺⇮-447","layer":2},{"info":"⊺⇮3327864⊬⨰⊺⇮-447=⊺⇮3325020","layer":1},{"info":"⊺⇮1390⋥⋵⩄⊺⇮1482=⊺⇮113","layer":3},{"info":"↨⩢⫨⊺⇮4256=⊺⇮0","layer":3},{"info":"⊺⇮113≬⇓⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮1648⪭≯⊺⇮6034=NaN","layer":3},{"info":"⇵⪽NaN=NaN","layer":2},{"info":"⊺⇮0⊾⪯⋞NaN=NaN","layer":1},{"info":"⊺⇮3325020⫔⩽⩺NaN=NaN","layer":0}]}
{"id":829,"expression_no_base_symbol":"⇁⨣⪵(($3284$⨉)≀⫉(⇐$8442$)⫌⩉⩟(≇⪴(⩎⋉$4605$)))","expression":"⇁⨣⪵((⊺⇮3284⨉)≀⫉(⇐⊺⇮8442)⫌⩉⩟(≇⪴(⩎⋉⊺⇮4605)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37881,"operation_count":7,"complexity_ratio":5411.571428571428,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":3284,"base":10}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":8442,"base":10}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4605,"base":10}}}}},"used_operators":["inkyxCbjAn","XIIwhv8d0m","oZj3VtZNQx","aMUSaJuDRU","nmZMaaE0Q9","zoVPnxeHJ3","FlXk3pOYe8"],"dependent_operators":["B5M0gjZbta","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3284","layer":4},{"info":"compute unary expreesion, input=3284, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=8896","layer":3},{"info":"number node, value=8442","layer":4},{"info":"compute unary expreesion, input=8442, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=5978","layer":3},{"info":"compute binary expreesion, left_input=8896, right_input=5978, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=4605","layer":4},{"info":"compute unary expreesion, input=4605, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-3610","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-3610, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⇁⨣⪵((⊺⇮3284⨉)≀⫉(⇐⊺⇮8442)⫌⩉⩟(≇⪴(⩎⋉⊺⇮4605)))=⊺⇮0","reverse_text":"⊺⇮0=⇁⨣⪵((⊺⇮3284⨉)≀⫉(⇐⊺⇮8442)⫌⩉⩟(≇⪴(⩎⋉⊺⇮4605)))","cot":[{"info":"⊺⇮3284⨉=⊺⇮8896","layer":3},{"info":"⇐⊺⇮8442=⊺⇮5978","layer":3},{"info":"⊺⇮8896≀⫉⊺⇮5978=⊺⇮2822","layer":2},{"info":"⩎⋉⊺⇮4605=⊺⇮1650","layer":3},{"info":"≇⪴⊺⇮1650=⊺⇮-3610","layer":2},{"info":"⊺⇮2822⫌⩉⩟⊺⇮-3610=⊺⇮-50","layer":1},{"info":"⇁⨣⪵⊺⇮-50=⊺⇮0","layer":0}]}
{"id":830,"expression_no_base_symbol":"(⫟(⋗⩴⪓($2284$⪛⫼$1007$)))≃(⋗⩬⋾(≋($7117$⇴∐$3651$)))","expression":"(⫟(⋗⩴⪓(⊺⇮2284⪛⫼⊺⇮1007)))≃(⋗⩬⋾(≋(⊺⇮7117⇴∐⊺⇮3651)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1219,"operation_count":7,"complexity_ratio":174.14285714285714,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2284,"base":10},"right_expr":{"type":"numeric_atoms","value":1007,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":7117,"base":10},"right_expr":{"type":"numeric_atoms","value":3651,"base":10}}}}},"used_operators":["YbVcJGFEVW","z4E1FaHLuy","nOKPl9n5zu","hyuBjUqXlG","DpFCA1CohY","61wBmkZwlr","HnzytWxmAO"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⊺⇮69","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=1007, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=1072","layer":1},{"info":"number node, value=7117","layer":4},{"info":"number node, value=3651","layer":4},{"info":"compute binary expreesion, left_input=7117, right_input=3651, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1072, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":0}],"base":10,"result_base":10,"text":"(⫟(⋗⩴⪓(⊺⇮2284⪛⫼⊺⇮1007)))≃(⋗⩬⋾(≋(⊺⇮7117⇴∐⊺⇮3651)))=⊺⇮69","reverse_text":"⊺⇮69=(⫟(⋗⩴⪓(⊺⇮2284⪛⫼⊺⇮1007)))≃(⋗⩬⋾(≋(⊺⇮7117⇴∐⊺⇮3651)))","cot":[{"info":"⊺⇮2284⪛⫼⊺⇮1007=⊺⇮968","layer":3},{"info":"⋗⩴⪓⊺⇮968=⊺⇮-55","layer":2},{"info":"⫟⊺⇮-55=⊺⇮1072","layer":1},{"info":"⊺⇮7117⇴∐⊺⇮3651=NaN","layer":3},{"info":"≋NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⊺⇮1072≃NaN=⊺⇮69","layer":0}]}
{"id":831,"expression_no_base_symbol":"($3899$⩒⫫$4723$∲⫓$7175$≁↽≥$5927$)⫗⊷⫓(($3508$≀⫉$4706$)≎⪠($5659$⪚⩙≫))⪣⫩","expression":"(⊺⇮3899⩒⫫⊺⇮4723∲⫓⊺⇮7175≁↽≥⊺⇮5927)⫗⊷⫓((⊺⇮3508≀⫉⊺⇮4706)≎⪠(⊺⇮5659⪚⩙≫))⪣⫩","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19985,"operation_count":8,"complexity_ratio":2498.125,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3899,"base":10},"right_expr":{"type":"numeric_atoms","value":4723,"base":10}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":7175,"base":10},"right_expr":{"type":"numeric_atoms","value":5927,"base":10}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3508,"base":10},"right_expr":{"type":"numeric_atoms","value":4706,"base":10}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":5659,"base":10}}}}},"used_operators":["iuk5sVOGFA","zashukvMKz","i8ToyICDmI","KFSx94NKJn","ncHt1X6cMc","aNhz54LH3e","oZj3VtZNQx","4n53wtyJvv"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","oWn0xqSxBt","3Oe9XWJUTD","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"⊺⇮913","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3899","layer":4},{"info":"number node, value=4723","layer":4},{"info":"compute binary expreesion, left_input=3899, right_input=4723, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3597","layer":3},{"info":"number node, value=7175","layer":4},{"info":"number node, value=5927","layer":4},{"info":"compute binary expreesion, left_input=7175, right_input=5927, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=91265","layer":3},{"info":"compute binary expreesion, left_input=3597, right_input=91265, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=3508","layer":4},{"info":"number node, value=4706","layer":4},{"info":"compute binary expreesion, left_input=3508, right_input=4706, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=5659","layer":4},{"info":"compute unary expreesion, input=5659, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=19558, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3899⩒⫫⊺⇮4723∲⫓⊺⇮7175≁↽≥⊺⇮5927)⫗⊷⫓((⊺⇮3508≀⫉⊺⇮4706)≎⪠(⊺⇮5659⪚⩙≫))⪣⫩=⊺⇮913","reverse_text":"⊺⇮913=(⊺⇮3899⩒⫫⊺⇮4723∲⫓⊺⇮7175≁↽≥⊺⇮5927)⫗⊷⫓((⊺⇮3508≀⫉⊺⇮4706)≎⪠(⊺⇮5659⪚⩙≫))⪣⫩","cot":[{"info":"⊺⇮3899⩒⫫⊺⇮4723=⊺⇮3597","layer":3},{"info":"⊺⇮7175≁↽≥⊺⇮5927=⊺⇮91265","layer":3},{"info":"⊺⇮3597∲⫓⊺⇮91265=⊺⇮0","layer":2},{"info":"⊺⇮3508≀⫉⊺⇮4706=⊺⇮2822","layer":3},{"info":"⊺⇮5659⪚⩙≫=NaN","layer":3},{"info":"⊺⇮2822≎⪠NaN=⊺⇮19558","layer":2},{"info":"⊺⇮0⫗⊷⫓⊺⇮19558=⊺⇮-134","layer":1},{"info":"⊺⇮-134⪣⫩=⊺⇮913","layer":0}]}
{"id":832,"expression_no_base_symbol":"((⊈$1610$)∠↢($5524$↛⩡⫤))+⪬∐((⩰$1103$)⩺⪪($1336$⫸⊐$3096$))⪨⊡(($6924$⫡⨏$4323$)⩣⫁∢($6747$⨼⩣$5103$)⋅⇍$4141$⨑⩅≇$1529$⨻⩈⩔($1570$∝$2381$))","expression":"((⊈⊺⇮1610)∠↢(⊺⇮5524↛⩡⫤))+⪬∐((⩰⊺⇮1103)⩺⪪(⊺⇮1336⫸⊐⊺⇮3096))⪨⊡((⊺⇮6924⫡⨏⊺⇮4323)⩣⫁∢(⊺⇮6747⨼⩣⊺⇮5103)⋅⇍⊺⇮4141⨑⩅≇⊺⇮1529⨻⩈⩔(⊺⇮1570∝⊺⇮2381))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18996,"operation_count":15,"complexity_ratio":1266.4,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1610,"base":10}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5524,"base":10}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1103,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1336,"base":10},"right_expr":{"type":"numeric_atoms","value":3096,"base":10}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6924,"base":10},"right_expr":{"type":"numeric_atoms","value":4323,"base":10}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":6747,"base":10},"right_expr":{"type":"numeric_atoms","value":5103,"base":10}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4141,"base":10},"right_expr":{"type":"numeric_atoms","value":1529,"base":10}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1570,"base":10},"right_expr":{"type":"numeric_atoms","value":2381,"base":10}}}}},"used_operators":["kuIXHzHcAH","2GS7woTJqF","KbjG8mgYpV","RHru8klgy8","FU0Cs4j7VP","uvdQJvN4PV","WkeUrDK8WX","mqXw5SEYmG","AdZkA7nFnk","JDUIKTTSIa","QMFrweE19q","JxwMv5le6e","nEsXyWgiOK","h92wMvzauj","cTDWOvIxvz"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","12rbrZMWeM","xUOZtlo3hN","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⊺⇮877","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1610","layer":4},{"info":"compute unary expreesion, input=1610, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1784","layer":3},{"info":"number node, value=5524","layer":4},{"info":"compute unary expreesion, input=5524, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-830213","layer":3},{"info":"compute binary expreesion, left_input=-1784, right_input=-830213, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=11631200","layer":2},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2103","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=3096","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=3096, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12259","layer":3},{"info":"compute binary expreesion, left_input=-2103, right_input=12259, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"compute binary expreesion, left_input=11631200, right_input=-1818, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-34893600","layer":1},{"info":"number node, value=6924","layer":4},{"info":"number node, value=4323","layer":4},{"info":"compute binary expreesion, left_input=6924, right_input=4323, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=44049","layer":3},{"info":"number node, value=6747","layer":4},{"info":"number node, value=5103","layer":4},{"info":"compute binary expreesion, left_input=6747, right_input=5103, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=44049, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"number node, value=4141","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=4141, right_input=1529, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-12423","layer":3},{"info":"number node, value=1570","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=2381, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1575","layer":3},{"info":"compute binary expreesion, left_input=-12423, right_input=1575, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=-34893600, right_input=-22, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=877","layer":0}],"base":10,"result_base":10,"text":"((⊈⊺⇮1610)∠↢(⊺⇮5524↛⩡⫤))+⪬∐((⩰⊺⇮1103)⩺⪪(⊺⇮1336⫸⊐⊺⇮3096))⪨⊡((⊺⇮6924⫡⨏⊺⇮4323)⩣⫁∢(⊺⇮6747⨼⩣⊺⇮5103)⋅⇍⊺⇮4141⨑⩅≇⊺⇮1529⨻⩈⩔(⊺⇮1570∝⊺⇮2381))=⊺⇮877","reverse_text":"⊺⇮877=((⊈⊺⇮1610)∠↢(⊺⇮5524↛⩡⫤))+⪬∐((⩰⊺⇮1103)⩺⪪(⊺⇮1336⫸⊐⊺⇮3096))⪨⊡((⊺⇮6924⫡⨏⊺⇮4323)⩣⫁∢(⊺⇮6747⨼⩣⊺⇮5103)⋅⇍⊺⇮4141⨑⩅≇⊺⇮1529⨻⩈⩔(⊺⇮1570∝⊺⇮2381))","cot":[{"info":"⊈⊺⇮1610=⊺⇮-1784","layer":3},{"info":"⊺⇮5524↛⩡⫤=⊺⇮-830213","layer":3},{"info":"⊺⇮-1784∠↢⊺⇮-830213=⊺⇮11631200","layer":2},{"info":"⩰⊺⇮1103=⊺⇮-2103","layer":3},{"info":"⊺⇮1336⫸⊐⊺⇮3096=⊺⇮12259","layer":3},{"info":"⊺⇮-2103⩺⪪⊺⇮12259=⊺⇮-1818","layer":2},{"info":"⊺⇮11631200+⪬∐⊺⇮-1818=⊺⇮-34893600","layer":1},{"info":"⊺⇮6924⫡⨏⊺⇮4323=⊺⇮44049","layer":3},{"info":"⊺⇮6747⨼⩣⊺⇮5103=NaN","layer":3},{"info":"⊺⇮44049⩣⫁∢NaN=NaN","layer":2},{"info":"⊺⇮4141⨑⩅≇⊺⇮1529=⊺⇮-12423","layer":3},{"info":"⊺⇮1570∝⊺⇮2381=⊺⇮1575","layer":3},{"info":"⊺⇮-12423⨻⩈⩔⊺⇮1575=⊺⇮-174","layer":2},{"info":"NaN⋅⇍⊺⇮-174=⊺⇮-22","layer":1},{"info":"⊺⇮-34893600⪨⊡⊺⇮-22=⊺⇮877","layer":0}]}
{"id":833,"expression_no_base_symbol":"(↽≂(⨦⪝$2181$)⪭≯$2087$⪛$1558$)⋥⋵⩄(⋠∜(⪛⨧(⋼∭⪍$2834$)))","expression":"(↽≂(⨦⪝⊺⇮2181)⪭≯⊺⇮2087⪛⊺⇮1558)⋥⋵⩄(⋠∜(⪛⨧(⋼∭⪍⊺⇮2834)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6343,"operation_count":8,"complexity_ratio":792.875,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2181,"base":10}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2087,"base":10},"right_expr":{"type":"numeric_atoms","value":1558,"base":10}}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":2834,"base":10}}}}},"used_operators":["7t3wd0Fuz7","u6S6b8DprG","XAx5wpdLa6","SUjycxNXIR","uFcxV4UQCh","ZJpFhNJr3x","6NJAcO2OWT","DbCuESL50I"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2181","layer":4},{"info":"compute unary expreesion, input=2181, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=2087","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=1558, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=529","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=529, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"number node, value=2834","layer":4},{"info":"compute unary expreesion, input=2834, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-9596","layer":3},{"info":"compute unary expreesion, input=-9596, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-17791","layer":2},{"info":"compute unary expreesion, input=-17791, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-68880","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-68880, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↽≂(⨦⪝⊺⇮2181)⪭≯⊺⇮2087⪛⊺⇮1558)⋥⋵⩄(⋠∜(⪛⨧(⋼∭⪍⊺⇮2834)))=NaN","reverse_text":"NaN=(↽≂(⨦⪝⊺⇮2181)⪭≯⊺⇮2087⪛⊺⇮1558)⋥⋵⩄(⋠∜(⪛⨧(⋼∭⪍⊺⇮2834)))","cot":[{"info":"⨦⪝⊺⇮2181=⊺⇮-1884","layer":3},{"info":"⊺⇮2087⪛⊺⇮1558=⊺⇮529","layer":3},{"info":"⊺⇮-1884⪭≯⊺⇮529=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⋼∭⪍⊺⇮2834=⊺⇮-9596","layer":3},{"info":"⪛⨧⊺⇮-9596=⊺⇮-17791","layer":2},{"info":"⋠∜⊺⇮-17791=⊺⇮-68880","layer":1},{"info":"NaN⋥⋵⩄⊺⇮-68880=NaN","layer":0}]}
{"id":834,"expression_no_base_symbol":"($1761$⨿$3558$≬⋮$3976$⇄$4109$%(⇋⊎⋝($1819$∳⫺$4321$)))⨓(($7879$∺≝⩲$1758$⋛($1092$⇴∐$7623$))⫏⊷)","expression":"(⊺⇮1761⨿⊺⇮3558≬⋮⊺⇮3976⇄⊺⇮4109%(⇋⊎⋝(⊺⇮1819∳⫺⊺⇮4321)))⨓((⊺⇮7879∺≝⩲⊺⇮1758⋛(⊺⇮1092⇴∐⊺⇮7623))⫏⊷)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1805,"operation_count":11,"complexity_ratio":164.0909090909091,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1761,"base":10},"right_expr":{"type":"numeric_atoms","value":3558,"base":10}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3976,"base":10},"right_expr":{"type":"numeric_atoms","value":4109,"base":10}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1819,"base":10},"right_expr":{"type":"numeric_atoms","value":4321,"base":10}}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":7879,"base":10},"right_expr":{"type":"numeric_atoms","value":1758,"base":10}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1092,"base":10},"right_expr":{"type":"numeric_atoms","value":7623,"base":10}}}}},"used_operators":["3ViojmjbAp","k8jYdgA6NY","kbkesczE7y","abYXlopdE0","3EYGwJThht","CzM2PEoXns","AzXXKTstlj","dcShxvzhyw","YbUVn0Rbpy","KPf6cnQVty","HnzytWxmAO"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","dWAJyo7jo9","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1761","layer":4},{"info":"number node, value=3558","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=3558, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3976","layer":4},{"info":"number node, value=4109","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=4109, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1819","layer":4},{"info":"number node, value=4321","layer":4},{"info":"compute binary expreesion, left_input=1819, right_input=4321, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-1304","layer":3},{"info":"compute unary expreesion, input=-1304, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=7879","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=7879, right_input=1758, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=7623","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=7623, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1761⨿⊺⇮3558≬⋮⊺⇮3976⇄⊺⇮4109%(⇋⊎⋝(⊺⇮1819∳⫺⊺⇮4321)))⨓((⊺⇮7879∺≝⩲⊺⇮1758⋛(⊺⇮1092⇴∐⊺⇮7623))⫏⊷)=NaN","reverse_text":"NaN=(⊺⇮1761⨿⊺⇮3558≬⋮⊺⇮3976⇄⊺⇮4109%(⇋⊎⋝(⊺⇮1819∳⫺⊺⇮4321)))⨓((⊺⇮7879∺≝⩲⊺⇮1758⋛(⊺⇮1092⇴∐⊺⇮7623))⫏⊷)","cot":[{"info":"⊺⇮1761⨿⊺⇮3558=⊺⇮-319","layer":3},{"info":"⊺⇮3976⇄⊺⇮4109=⊺⇮0","layer":3},{"info":"⊺⇮-319≬⋮⊺⇮0=⊺⇮868","layer":2},{"info":"⊺⇮1819∳⫺⊺⇮4321=⊺⇮-1304","layer":3},{"info":"⇋⊎⋝⊺⇮-1304=NaN","layer":2},{"info":"⊺⇮868%NaN=NaN","layer":1},{"info":"⊺⇮7879∺≝⩲⊺⇮1758=⊺⇮160","layer":3},{"info":"⊺⇮1092⇴∐⊺⇮7623=NaN","layer":3},{"info":"⊺⇮160⋛NaN=NaN","layer":2},{"info":"NaN⫏⊷=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":835,"expression_no_base_symbol":"(∓(≋$2447$∊∟⩊$5488$))≚⊃≕((($2669$⫔⩽⩺$5463$)∠⫱$1983$∑⇟⊟$2270$)⪭($1620$⩼⇪↪$1843$)⨂≜($1324$↤⩊$5789$))","expression":"(∓(≋⊺⇮2447∊∟⩊⊺⇮5488))≚⊃≕(((⊺⇮2669⫔⩽⩺⊺⇮5463)∠⫱⊺⇮1983∑⇟⊟⊺⇮2270)⪭(⊺⇮1620⩼⇪↪⊺⇮1843)⨂≜(⊺⇮1324↤⩊⊺⇮5789))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10748,"operation_count":11,"complexity_ratio":977.0909090909091,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2447,"base":10},"right_expr":{"type":"numeric_atoms","value":5488,"base":10}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2669,"base":10},"right_expr":{"type":"numeric_atoms","value":5463,"base":10}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1983,"base":10},"right_expr":{"type":"numeric_atoms","value":2270,"base":10}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1620,"base":10},"right_expr":{"type":"numeric_atoms","value":1843,"base":10}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1324,"base":10},"right_expr":{"type":"numeric_atoms","value":5789,"base":10}}}}},"used_operators":["Bmrmz2XGnR","OwUj7dcsQK","61wBmkZwlr","ddLRYrp01A","j9kHMeSvPp","QvoQhV0rrE","i9eR4S00cU","U7g4x0WXJJ","k1SHOSEABc","ocnLzx9CaJ","13rbtpv6ld"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","7j4O788W3g","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Tw270M8GLb","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2447","layer":4},{"info":"number node, value=5488","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=5488, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5488","layer":3},{"info":"compute unary expreesion, input=5488, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=5488","layer":2},{"info":"compute unary expreesion, input=5488, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-87192","layer":1},{"info":"number node, value=2669","layer":4},{"info":"number node, value=5463","layer":4},{"info":"compute binary expreesion, left_input=2669, right_input=5463, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1983","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=2270, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"number node, value=1620","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=1843, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-10444","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=5789","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=5789, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10444, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-87192, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(∓(≋⊺⇮2447∊∟⩊⊺⇮5488))≚⊃≕(((⊺⇮2669⫔⩽⩺⊺⇮5463)∠⫱⊺⇮1983∑⇟⊟⊺⇮2270)⪭(⊺⇮1620⩼⇪↪⊺⇮1843)⨂≜(⊺⇮1324↤⩊⊺⇮5789))=NaN","reverse_text":"NaN=(∓(≋⊺⇮2447∊∟⩊⊺⇮5488))≚⊃≕(((⊺⇮2669⫔⩽⩺⊺⇮5463)∠⫱⊺⇮1983∑⇟⊟⊺⇮2270)⪭(⊺⇮1620⩼⇪↪⊺⇮1843)⨂≜(⊺⇮1324↤⩊⊺⇮5789))","cot":[{"info":"⊺⇮2447∊∟⩊⊺⇮5488=⊺⇮5488","layer":3},{"info":"≋⊺⇮5488=⊺⇮5488","layer":2},{"info":"∓⊺⇮5488=⊺⇮-87192","layer":1},{"info":"⊺⇮2669⫔⩽⩺⊺⇮5463=NaN","layer":3},{"info":"⊺⇮1983∑⇟⊟⊺⇮2270=NaN","layer":3},{"info":"NaN∠⫱NaN=NaN","layer":2},{"info":"⊺⇮1620⩼⇪↪⊺⇮1843=⊺⇮-10444","layer":3},{"info":"⊺⇮1324↤⩊⊺⇮5789=NaN","layer":3},{"info":"⊺⇮-10444⨂≜NaN=NaN","layer":2},{"info":"NaN⪭NaN=NaN","layer":1},{"info":"⊺⇮-87192≚⊃≕NaN=NaN","layer":0}]}
{"id":836,"expression_no_base_symbol":"(≤/$1047$⨐$1079$⪕($2386$⫥∨⫟$1014$))↹⊜((⩎⋉$2146$)⩦($1828$∺≝⩲$4363$)≳⇉($3105$⪮%⊝$2415$⊹∫⫚$1802$⋹⋡⊁$6708$))","expression":"(≤/⊺⇮1047⨐⊺⇮1079⪕(⊺⇮2386⫥∨⫟⊺⇮1014))↹⊜((⩎⋉⊺⇮2146)⩦(⊺⇮1828∺≝⩲⊺⇮4363)≳⇉(⊺⇮3105⪮%⊝⊺⇮2415⊹∫⫚⊺⇮1802⋹⋡⊁⊺⇮6708))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":820665,"operation_count":12,"complexity_ratio":68388.75,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1047,"base":10},"right_expr":{"type":"numeric_atoms","value":1079,"base":10}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2386,"base":10},"right_expr":{"type":"numeric_atoms","value":1014,"base":10}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":2146,"base":10}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1828,"base":10},"right_expr":{"type":"numeric_atoms","value":4363,"base":10}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3105,"base":10},"right_expr":{"type":"numeric_atoms","value":2415,"base":10}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1802,"base":10},"right_expr":{"type":"numeric_atoms","value":6708,"base":10}}}}},"used_operators":["9bazX3JMtO","eLAdDNolq6","umQnsF7QlU","Noe24qw2ks","KYD54nUTWz","V0kx6qeWkN","0kmYd0q39Y","FlXk3pOYe8","KPf6cnQVty","uWAJUKEvyW","IWmyXbctLI","As8RqfVLgs"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1079, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2094","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=1014, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2094, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute unary expreesion, input=935, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-451","layer":1},{"info":"number node, value=2146","layer":4},{"info":"compute unary expreesion, input=2146, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=1828","layer":4},{"info":"number node, value=4363","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=4363, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=160, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3300","layer":2},{"info":"number node, value=3105","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=3105, right_input=2415, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6526","layer":3},{"info":"number node, value=1802","layer":4},{"info":"number node, value=6708","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=6708, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7458","layer":3},{"info":"compute binary expreesion, left_input=6526, right_input=7458, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-264","layer":2},{"info":"compute binary expreesion, left_input=3300, right_input=-264, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-451, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≤/⊺⇮1047⨐⊺⇮1079⪕(⊺⇮2386⫥∨⫟⊺⇮1014))↹⊜((⩎⋉⊺⇮2146)⩦(⊺⇮1828∺≝⩲⊺⇮4363)≳⇉(⊺⇮3105⪮%⊝⊺⇮2415⊹∫⫚⊺⇮1802⋹⋡⊁⊺⇮6708))=NaN","reverse_text":"NaN=(≤/⊺⇮1047⨐⊺⇮1079⪕(⊺⇮2386⫥∨⫟⊺⇮1014))↹⊜((⩎⋉⊺⇮2146)⩦(⊺⇮1828∺≝⩲⊺⇮4363)≳⇉(⊺⇮3105⪮%⊝⊺⇮2415⊹∫⫚⊺⇮1802⋹⋡⊁⊺⇮6708))","cot":[{"info":"⊺⇮1047⨐⊺⇮1079=⊺⇮-2094","layer":3},{"info":"⊺⇮2386⫥∨⫟⊺⇮1014=NaN","layer":3},{"info":"⊺⇮-2094⪕NaN=⊺⇮935","layer":2},{"info":"≤/⊺⇮935=⊺⇮-451","layer":1},{"info":"⩎⋉⊺⇮2146=⊺⇮1650","layer":3},{"info":"⊺⇮1828∺≝⩲⊺⇮4363=⊺⇮160","layer":3},{"info":"⊺⇮1650⩦⊺⇮160=⊺⇮3300","layer":2},{"info":"⊺⇮3105⪮%⊝⊺⇮2415=⊺⇮6526","layer":3},{"info":"⊺⇮1802⋹⋡⊁⊺⇮6708=⊺⇮7458","layer":3},{"info":"⊺⇮6526⊹∫⫚⊺⇮7458=⊺⇮-264","layer":2},{"info":"⊺⇮3300≳⇉⊺⇮-264=NaN","layer":1},{"info":"⊺⇮-451↹⊜NaN=NaN","layer":0}]}
{"id":837,"expression_no_base_symbol":"(⊿($2456$≥⨤⩑$1895$)↳∿⪆(⨙⪌$7040$))↤⩊(⩷⨜⫀($1338$⊭↱$1281$⨵⪆$3182$⊉≛↸$1926$))","expression":"(⊿(⊺⇮2456≥⨤⩑⊺⇮1895)↳∿⪆(⨙⪌⊺⇮7040))↤⩊(⩷⨜⫀(⊺⇮1338⊭↱⊺⇮1281⨵⪆⊺⇮3182⊉≛↸⊺⇮1926))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3513,"operation_count":9,"complexity_ratio":390.3333333333333,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2456,"base":10},"right_expr":{"type":"numeric_atoms","value":1895,"base":10}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":7040,"base":10}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1338,"base":10},"right_expr":{"type":"numeric_atoms","value":1281,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3182,"base":10},"right_expr":{"type":"numeric_atoms","value":1926,"base":10}}}}},"used_operators":["13rbtpv6ld","DO4fhlbJSI","Cw4SuJJGHO","gJLn6v0xnP","vEGLkm4Z2k","CDi0ktkjQ4","2DQ55sFlQl","COABgblf1C","DZ8iAZOCBD"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=2456","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=1895, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=7040","layer":4},{"info":"compute unary expreesion, input=7040, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=868, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"number node, value=1338","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=1281, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-109","layer":3},{"info":"number node, value=3182","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=3182, right_input=1926, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6364","layer":3},{"info":"compute binary expreesion, left_input=-109, right_input=6364, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊿(⊺⇮2456≥⨤⩑⊺⇮1895)↳∿⪆(⨙⪌⊺⇮7040))↤⩊(⩷⨜⫀(⊺⇮1338⊭↱⊺⇮1281⨵⪆⊺⇮3182⊉≛↸⊺⇮1926))=NaN","reverse_text":"NaN=(⊿(⊺⇮2456≥⨤⩑⊺⇮1895)↳∿⪆(⨙⪌⊺⇮7040))↤⩊(⩷⨜⫀(⊺⇮1338⊭↱⊺⇮1281⨵⪆⊺⇮3182⊉≛↸⊺⇮1926))","cot":[{"info":"⊺⇮2456≥⨤⩑⊺⇮1895=⊺⇮1234","layer":3},{"info":"⨙⪌⊺⇮7040=⊺⇮868","layer":3},{"info":"⊺⇮1234↳∿⪆⊺⇮868=NaN","layer":2},{"info":"⊿NaN=NaN","layer":1},{"info":"⊺⇮1338⊭↱⊺⇮1281=⊺⇮-109","layer":3},{"info":"⊺⇮3182⊉≛↸⊺⇮1926=⊺⇮6364","layer":3},{"info":"⊺⇮-109⨵⪆⊺⇮6364=⊺⇮160","layer":2},{"info":"⩷⨜⫀⊺⇮160=⊺⇮113","layer":1},{"info":"NaN↤⩊⊺⇮113=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"($3955$⋅⇍$8831$*($2021$⨑≵⋬$2646$)∙∹∝(⋠∜(⊲⪭$2133$)))⨔⇊((⇖⫷⫕($7444$⩚⊴⇥$2023$))⨚⇆($4470$⊾⪯⋞$1088$)≴⪞⇿$1899$⨂≜$1169$)","expression":"(⊺⇮3955⋅⇍⊺⇮8831*(⊺⇮2021⨑≵⋬⊺⇮2646)∙∹∝(⋠∜(⊲⪭⊺⇮2133)))⨔⇊((⇖⫷⫕(⊺⇮7444⩚⊴⇥⊺⇮2023))⨚⇆(⊺⇮4470⊾⪯⋞⊺⇮1088)≴⪞⇿⊺⇮1899⨂≜⊺⇮1169)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24243,"operation_count":13,"complexity_ratio":1864.8461538461538,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3955,"base":10},"right_expr":{"type":"numeric_atoms","value":8831,"base":10}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2021,"base":10},"right_expr":{"type":"numeric_atoms","value":2646,"base":10}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2133,"base":10}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7444,"base":10},"right_expr":{"type":"numeric_atoms","value":2023,"base":10}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4470,"base":10},"right_expr":{"type":"numeric_atoms","value":1088,"base":10}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1899,"base":10},"right_expr":{"type":"numeric_atoms","value":1169,"base":10}}}}},"used_operators":["JclMnS0uGI","HmxsFra2vL","9HNa5Wba9A","AdZkA7nFnk","XnXgA4xnOs","ZJpFhNJr3x","k7HXdKtiEU","lwHaAYXP2r","UHmRx3INFg","NTOWxs364D","lvlrscuwVU","HK0tfVPux8","k1SHOSEABc"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","i8ToyICDmI","xUOZtlo3hN","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3955","layer":4},{"info":"number node, value=8831","layer":4},{"info":"compute binary expreesion, left_input=3955, right_input=8831, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2021","layer":4},{"info":"number node, value=2646","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=2646, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-7038","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-7038, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=154836","layer":2},{"info":"number node, value=2133","layer":4},{"info":"compute unary expreesion, input=2133, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2307","layer":3},{"info":"compute unary expreesion, input=-2307, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-6944","layer":2},{"info":"compute binary expreesion, left_input=154836, right_input=-6944, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=7444","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=7444, right_input=2023, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9588","layer":3},{"info":"compute unary expreesion, input=-9588, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=4470","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=1088, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1750","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=1169, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1750, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4363292","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=4363292, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3955⋅⇍⊺⇮8831*(⊺⇮2021⨑≵⋬⊺⇮2646)∙∹∝(⋠∜(⊲⪭⊺⇮2133)))⨔⇊((⇖⫷⫕(⊺⇮7444⩚⊴⇥⊺⇮2023))⨚⇆(⊺⇮4470⊾⪯⋞⊺⇮1088)≴⪞⇿⊺⇮1899⨂≜⊺⇮1169)=NaN","reverse_text":"NaN=(⊺⇮3955⋅⇍⊺⇮8831*(⊺⇮2021⨑≵⋬⊺⇮2646)∙∹∝(⋠∜(⊲⪭⊺⇮2133)))⨔⇊((⇖⫷⫕(⊺⇮7444⩚⊴⇥⊺⇮2023))⨚⇆(⊺⇮4470⊾⪯⋞⊺⇮1088)≴⪞⇿⊺⇮1899⨂≜⊺⇮1169)","cot":[{"info":"⊺⇮3955⋅⇍⊺⇮8831=⊺⇮-22","layer":3},{"info":"⊺⇮2021⨑≵⋬⊺⇮2646=⊺⇮-7038","layer":3},{"info":"⊺⇮-22*⊺⇮-7038=⊺⇮154836","layer":2},{"info":"⊲⪭⊺⇮2133=⊺⇮-2307","layer":3},{"info":"⋠∜⊺⇮-2307=⊺⇮-6944","layer":2},{"info":"⊺⇮154836∙∹∝⊺⇮-6944=⊺⇮0","layer":1},{"info":"⊺⇮7444⩚⊴⇥⊺⇮2023=⊺⇮-9588","layer":3},{"info":"⇖⫷⫕⊺⇮-9588=⊺⇮2822","layer":2},{"info":"⊺⇮4470⊾⪯⋞⊺⇮1088=⊺⇮1750","layer":3},{"info":"⊺⇮1899⨂≜⊺⇮1169=NaN","layer":3},{"info":"⊺⇮1750≴⪞⇿NaN=⊺⇮4363292","layer":2},{"info":"⊺⇮2822⨚⇆⊺⇮4363292=NaN","layer":1},{"info":"⊺⇮0⨔⇊NaN=NaN","layer":0}]}
{"id":839,"expression_no_base_symbol":"(($3054$↼⊘⨖$3786$)⋕⪉⪜($1080$⫒⫫$1611$)⩅⪻⪻)∥⊢⊲(($1128$∊∟⩊$2399$)⊕∕($4022$↳∿⪆$1412$))⫗⊷⫓(↯⪼$1397$⩣⫁∢$5874$)","expression":"((⊺⇮3054↼⊘⨖⊺⇮3786)⋕⪉⪜(⊺⇮1080⫒⫫⊺⇮1611)⩅⪻⪻)∥⊢⊲((⊺⇮1128∊∟⩊⊺⇮2399)⊕∕(⊺⇮4022↳∿⪆⊺⇮1412))⫗⊷⫓(↯⪼⊺⇮1397⩣⫁∢⊺⇮5874)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4894,"operation_count":11,"complexity_ratio":444.90909090909093,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3054,"base":10},"right_expr":{"type":"numeric_atoms","value":3786,"base":10}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1080,"base":10},"right_expr":{"type":"numeric_atoms","value":1611,"base":10}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1128,"base":10},"right_expr":{"type":"numeric_atoms","value":2399,"base":10}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4022,"base":10},"right_expr":{"type":"numeric_atoms","value":1412,"base":10}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1397,"base":10},"right_expr":{"type":"numeric_atoms","value":5874,"base":10}}}}},"used_operators":["v1UQAVDJRr","kHoXpA7yos","z6LnFrNh4i","bPywburJMS","6Ko8hGgeMq","zashukvMKz","9cloC0Ngie","ddLRYrp01A","Cw4SuJJGHO","8jW3W4yZS5","JDUIKTTSIa"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3054","layer":4},{"info":"number node, value=3786","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=3786, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7350","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1611, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7350, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=4464911","layer":1},{"info":"number node, value=1128","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=2399, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2399","layer":3},{"info":"number node, value=4022","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=4022, right_input=1412, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2399, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2399","layer":2},{"info":"number node, value=1397","layer":4},{"info":"number node, value=5874","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=5874, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2633","layer":3},{"info":"compute unary expreesion, input=-2633, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=4349","layer":2},{"info":"compute binary expreesion, left_input=2399, right_input=4349, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=4464911, right_input=-134, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3054↼⊘⨖⊺⇮3786)⋕⪉⪜(⊺⇮1080⫒⫫⊺⇮1611)⩅⪻⪻)∥⊢⊲((⊺⇮1128∊∟⩊⊺⇮2399)⊕∕(⊺⇮4022↳∿⪆⊺⇮1412))⫗⊷⫓(↯⪼⊺⇮1397⩣⫁∢⊺⇮5874)=NaN","reverse_text":"NaN=((⊺⇮3054↼⊘⨖⊺⇮3786)⋕⪉⪜(⊺⇮1080⫒⫫⊺⇮1611)⩅⪻⪻)∥⊢⊲((⊺⇮1128∊∟⩊⊺⇮2399)⊕∕(⊺⇮4022↳∿⪆⊺⇮1412))⫗⊷⫓(↯⪼⊺⇮1397⩣⫁∢⊺⇮5874)","cot":[{"info":"⊺⇮3054↼⊘⨖⊺⇮3786=⊺⇮7350","layer":3},{"info":"⊺⇮1080⫒⫫⊺⇮1611=NaN","layer":3},{"info":"⊺⇮7350⋕⪉⪜NaN=⊺⇮204","layer":2},{"info":"⊺⇮204⩅⪻⪻=⊺⇮4464911","layer":1},{"info":"⊺⇮1128∊∟⩊⊺⇮2399=⊺⇮2399","layer":3},{"info":"⊺⇮4022↳∿⪆⊺⇮1412=NaN","layer":3},{"info":"⊺⇮2399⊕∕NaN=⊺⇮2399","layer":2},{"info":"⊺⇮1397⩣⫁∢⊺⇮5874=⊺⇮-2633","layer":3},{"info":"↯⪼⊺⇮-2633=⊺⇮4349","layer":2},{"info":"⊺⇮2399⫗⊷⫓⊺⇮4349=⊺⇮-134","layer":1},{"info":"⊺⇮4464911∥⊢⊲⊺⇮-134=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"($3533$↤⩊$6122$)⨂≜(↨⩢⫨$1632$)∇⊂⋱(($1546$⩹$2355$)⩘⨬⇊)⨎(($8334$⋳⪒$4760$)⊝⪿⪼($3321$⨐⩸⫘$2150$))⨻⩈⩔(($1524$⨸⪁$9099$)⊋≦⊧($2864$⋳⪒$1698$))","expression":"(⊺⇮3533↤⩊⊺⇮6122)⨂≜(↨⩢⫨⊺⇮1632)∇⊂⋱((⊺⇮1546⩹⊺⇮2355)⩘⨬⇊)⨎((⊺⇮8334⋳⪒⊺⇮4760)⊝⪿⪼(⊺⇮3321⨐⩸⫘⊺⇮2150))⨻⩈⩔((⊺⇮1524⨸⪁⊺⇮9099)⊋≦⊧(⊺⇮2864⋳⪒⊺⇮1698))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3451,"operation_count":14,"complexity_ratio":246.5,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3533,"base":10},"right_expr":{"type":"numeric_atoms","value":6122,"base":10}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1632,"base":10}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1546,"base":10},"right_expr":{"type":"numeric_atoms","value":2355,"base":10}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8334,"base":10},"right_expr":{"type":"numeric_atoms","value":4760,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3321,"base":10},"right_expr":{"type":"numeric_atoms","value":2150,"base":10}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1524,"base":10},"right_expr":{"type":"numeric_atoms","value":9099,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2864,"base":10},"right_expr":{"type":"numeric_atoms","value":1698,"base":10}}}}},"used_operators":["rJVOvQCfKK","nhYeJWJD5X","k1SHOSEABc","13rbtpv6ld","Z5CJsN7DuW","XXmTpEpWTW","2Wsdkap16l","nEsXyWgiOK","3Oe9XWJUTD","12rbrZMWeM","fu6greOZ01","oRDoc9rAEX","g55IO6H4Gj"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe"],"result":"⊺⇮1465575","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3533","layer":4},{"info":"number node, value=6122","layer":4},{"info":"compute binary expreesion, left_input=3533, right_input=6122, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1632","layer":4},{"info":"compute unary expreesion, input=1632, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1546","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=2355, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2353","layer":3},{"info":"compute unary expreesion, input=2353, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=8334","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=8334, right_input=4760, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11621","layer":3},{"info":"number node, value=3321","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=3321, right_input=2150, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11621, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=184247","layer":2},{"info":"number node, value=1524","layer":4},{"info":"number node, value=9099","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=9099, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21246","layer":3},{"info":"number node, value=2864","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=2864, right_input=1698, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3743","layer":3},{"info":"compute binary expreesion, left_input=21246, right_input=3743, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-7246","layer":2},{"info":"compute binary expreesion, left_input=184247, right_input=-7246, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=1465575","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1465575, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1465575","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3533↤⩊⊺⇮6122)⨂≜(↨⩢⫨⊺⇮1632)∇⊂⋱((⊺⇮1546⩹⊺⇮2355)⩘⨬⇊)⨎((⊺⇮8334⋳⪒⊺⇮4760)⊝⪿⪼(⊺⇮3321⨐⩸⫘⊺⇮2150))⨻⩈⩔((⊺⇮1524⨸⪁⊺⇮9099)⊋≦⊧(⊺⇮2864⋳⪒⊺⇮1698))=⊺⇮1465575","reverse_text":"⊺⇮1465575=(⊺⇮3533↤⩊⊺⇮6122)⨂≜(↨⩢⫨⊺⇮1632)∇⊂⋱((⊺⇮1546⩹⊺⇮2355)⩘⨬⇊)⨎((⊺⇮8334⋳⪒⊺⇮4760)⊝⪿⪼(⊺⇮3321⨐⩸⫘⊺⇮2150))⨻⩈⩔((⊺⇮1524⨸⪁⊺⇮9099)⊋≦⊧(⊺⇮2864⋳⪒⊺⇮1698))","cot":[{"info":"⊺⇮3533↤⩊⊺⇮6122=NaN","layer":3},{"info":"↨⩢⫨⊺⇮1632=⊺⇮0","layer":3},{"info":"NaN⨂≜⊺⇮0=NaN","layer":2},{"info":"⊺⇮1546⩹⊺⇮2355=⊺⇮2353","layer":3},{"info":"⊺⇮2353⩘⨬⇊=NaN","layer":2},{"info":"NaN∇⊂⋱NaN=NaN","layer":1},{"info":"⊺⇮8334⋳⪒⊺⇮4760=⊺⇮11621","layer":3},{"info":"⊺⇮3321⨐⩸⫘⊺⇮2150=NaN","layer":3},{"info":"⊺⇮11621⊝⪿⪼NaN=⊺⇮184247","layer":2},{"info":"⊺⇮1524⨸⪁⊺⇮9099=⊺⇮21246","layer":3},{"info":"⊺⇮2864⋳⪒⊺⇮1698=⊺⇮3743","layer":3},{"info":"⊺⇮21246⊋≦⊧⊺⇮3743=⊺⇮-7246","layer":2},{"info":"⊺⇮184247⨻⩈⩔⊺⇮-7246=⊺⇮1465575","layer":1},{"info":"NaN⨎⊺⇮1465575=⊺⇮1465575","layer":0}]}
{"id":841,"expression_no_base_symbol":"((⇜⊴$6931$)∛$2035$↓$5662$⨵⪆(⩷$1780$)⫣⪄⊒$1585$⨿$8243$)⪚((($1126$⩹$1386$)⪘⫢($2045$⊝))⩌⋺(≔$2855$↞⋁$1034$))","expression":"((⇜⊴⊺⇮6931)∛⊺⇮2035↓⊺⇮5662⨵⪆(⩷⊺⇮1780)⫣⪄⊒⊺⇮1585⨿⊺⇮8243)⪚(((⊺⇮1126⩹⊺⇮1386)⪘⫢(⊺⇮2045⊝))⩌⋺(≔⊺⇮2855↞⋁⊺⇮1034))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":80248,"operation_count":14,"complexity_ratio":5732.0,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":6931,"base":10}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2035,"base":10},"right_expr":{"type":"numeric_atoms","value":5662,"base":10}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1780,"base":10}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1585,"base":10},"right_expr":{"type":"numeric_atoms","value":8243,"base":10}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1126,"base":10},"right_expr":{"type":"numeric_atoms","value":1386,"base":10}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":2045,"base":10}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2855,"base":10},"right_expr":{"type":"numeric_atoms","value":1034,"base":10}}}}},"used_operators":["HrjLwUk87U","2DQ55sFlQl","w2537kitQq","XwDhCwWbUn","Af076pWI7l","RabNbG55vr","1h0rLqGiFr","abYXlopdE0","g7Hmc5v1ko","oacrs7FA3X","2Wsdkap16l","O6EZ0fifGK","8FLs4eVsLt","RqrPlJkxDo"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6931","layer":4},{"info":"compute unary expreesion, input=6931, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1622002","layer":3},{"info":"number node, value=2035","layer":4},{"info":"number node, value=5662","layer":4},{"info":"compute binary expreesion, left_input=2035, right_input=5662, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-1622002, right_input=-134, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1780","layer":4},{"info":"compute unary expreesion, input=1780, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-21439","layer":3},{"info":"number node, value=1585","layer":4},{"info":"number node, value=8243","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=8243, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-21439, right_input=-319, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1386, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1384","layer":3},{"info":"number node, value=2045","layer":4},{"info":"compute unary expreesion, input=2045, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=2045","layer":3},{"info":"compute binary expreesion, left_input=1384, right_input=2045, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2644","layer":2},{"info":"number node, value=2855","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=1034, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2644, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⇜⊴⊺⇮6931)∛⊺⇮2035↓⊺⇮5662⨵⪆(⩷⊺⇮1780)⫣⪄⊒⊺⇮1585⨿⊺⇮8243)⪚(((⊺⇮1126⩹⊺⇮1386)⪘⫢(⊺⇮2045⊝))⩌⋺(≔⊺⇮2855↞⋁⊺⇮1034))=NaN","reverse_text":"NaN=((⇜⊴⊺⇮6931)∛⊺⇮2035↓⊺⇮5662⨵⪆(⩷⊺⇮1780)⫣⪄⊒⊺⇮1585⨿⊺⇮8243)⪚(((⊺⇮1126⩹⊺⇮1386)⪘⫢(⊺⇮2045⊝))⩌⋺(≔⊺⇮2855↞⋁⊺⇮1034))","cot":[{"info":"⇜⊴⊺⇮6931=⊺⇮-1622002","layer":3},{"info":"⊺⇮2035↓⊺⇮5662=⊺⇮-134","layer":3},{"info":"⊺⇮-1622002∛⊺⇮-134=⊺⇮67","layer":2},{"info":"⩷⊺⇮1780=⊺⇮-21439","layer":3},{"info":"⊺⇮1585⨿⊺⇮8243=⊺⇮-319","layer":3},{"info":"⊺⇮-21439⫣⪄⊒⊺⇮-319=⊺⇮160","layer":2},{"info":"⊺⇮67⨵⪆⊺⇮160=⊺⇮160","layer":1},{"info":"⊺⇮1126⩹⊺⇮1386=⊺⇮1384","layer":3},{"info":"⊺⇮2045⊝=⊺⇮2045","layer":3},{"info":"⊺⇮1384⪘⫢⊺⇮2045=⊺⇮2644","layer":2},{"info":"⊺⇮2855↞⋁⊺⇮1034=NaN","layer":3},{"info":"≔NaN=NaN","layer":2},{"info":"⊺⇮2644⩌⋺NaN=NaN","layer":1},{"info":"⊺⇮160⪚NaN=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"↽≂(⨙⪌($5655$⩺⪪$2672$))⫸⇳($1012$⨒$3892$⋻⩜⩜(⪹$2040$))","expression":"↽≂(⨙⪌(⊺⇮5655⩺⪪⊺⇮2672))⫸⇳(⊺⇮1012⨒⊺⇮3892⋻⩜⩜(⪹⊺⇮2040))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":27110,"operation_count":7,"complexity_ratio":3872.8571428571427,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5655,"base":10},"right_expr":{"type":"numeric_atoms","value":2672,"base":10}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":3892,"base":10}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2040,"base":10}}}}},"used_operators":["u6S6b8DprG","gx7XJ7hdpj","vEGLkm4Z2k","uvdQJvN4PV","oDCm7WA9JY","y75s1iXyHd","USyYr0JgAa"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","tifHPKVTfV"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5655","layer":4},{"info":"number node, value=2672","layer":4},{"info":"compute binary expreesion, left_input=5655, right_input=2672, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-48626","layer":3},{"info":"compute unary expreesion, input=-48626, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=3892","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3892, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-5700","layer":3},{"info":"number node, value=2040","layer":4},{"info":"compute unary expreesion, input=2040, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1860","layer":3},{"info":"compute binary expreesion, left_input=-5700, right_input=-1860, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"↽≂(⨙⪌(⊺⇮5655⩺⪪⊺⇮2672))⫸⇳(⊺⇮1012⨒⊺⇮3892⋻⩜⩜(⪹⊺⇮2040))=⊺⇮0","reverse_text":"⊺⇮0=↽≂(⨙⪌(⊺⇮5655⩺⪪⊺⇮2672))⫸⇳(⊺⇮1012⨒⊺⇮3892⋻⩜⩜(⪹⊺⇮2040))","cot":[{"info":"⊺⇮5655⩺⪪⊺⇮2672=⊺⇮-48626","layer":3},{"info":"⨙⪌⊺⇮-48626=⊺⇮868","layer":2},{"info":"⊺⇮1012⨒⊺⇮3892=⊺⇮-5700","layer":3},{"info":"⪹⊺⇮2040=⊺⇮-1860","layer":3},{"info":"⊺⇮-5700⋻⩜⩜⊺⇮-1860=NaN","layer":2},{"info":"⊺⇮868⫸⇳NaN=⊺⇮0","layer":1},{"info":"↽≂⊺⇮0=⊺⇮0","layer":0}]}
{"id":843,"expression_no_base_symbol":"((↥(⊤⊝$1408$))∖(⩏⊷≩($3927$∕⩚$3632$)))≦↸((($2992$%$4116$)↡⊰⫅($4234$↱$1152$))⨼⩣($1754$⨭⪣$7406$)∘$4194$≌$7555$)","expression":"((↥(⊤⊝⊺⇮1408))∖(⩏⊷≩(⊺⇮3927∕⩚⊺⇮3632)))≦↸(((⊺⇮2992%⊺⇮4116)↡⊰⫅(⊺⇮4234↱⊺⇮1152))⨼⩣(⊺⇮1754⨭⪣⊺⇮7406)∘⊺⇮4194≌⊺⇮7555)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54704,"operation_count":13,"complexity_ratio":4208.0,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1408,"base":10}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3927,"base":10},"right_expr":{"type":"numeric_atoms","value":3632,"base":10}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2992,"base":10},"right_expr":{"type":"numeric_atoms","value":4116,"base":10}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4234,"base":10},"right_expr":{"type":"numeric_atoms","value":1152,"base":10}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1754,"base":10},"right_expr":{"type":"numeric_atoms","value":7406,"base":10}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4194,"base":10},"right_expr":{"type":"numeric_atoms","value":7555,"base":10}}}}},"used_operators":["RygbFNSyEJ","tXD093vOjl","A8NUZmVepG","rXAclfmB4M","uOZ1tnYMDE","z9ffQ9n5Zr","JxwMv5le6e","VCtxkLNOzz","k8jYdgA6NY","SR5kFfdi6N","Z5m6OM72h2","kn8WO9XteQ","lyWz822IDG"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","k8jYdgA6NY","sdazOOVcIp","23Mk6UjR3U","12rbrZMWeM","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eH2TOUuTDT","rysDP5nf3Z","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1408","layer":4},{"info":"compute unary expreesion, input=1408, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1518","layer":3},{"info":"compute unary expreesion, input=1518, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":2},{"info":"number node, value=3927","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=3927, right_input=3632, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3930","layer":3},{"info":"compute unary expreesion, input=-3930, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=16334","layer":2},{"info":"compute binary expreesion, left_input=39, right_input=16334, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=2992","layer":4},{"info":"number node, value=4116","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=4116, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2992","layer":3},{"info":"number node, value=4234","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=4234, right_input=1152, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2934","layer":3},{"info":"compute binary expreesion, left_input=2992, right_input=-2934, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=1754","layer":4},{"info":"number node, value=7406","layer":4},{"info":"compute binary expreesion, left_input=1754, right_input=7406, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=475","layer":3},{"info":"number node, value=4194","layer":4},{"info":"number node, value=7555","layer":4},{"info":"compute binary expreesion, left_input=4194, right_input=7555, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=475, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=950","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=950, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((↥(⊤⊝⊺⇮1408))∖(⩏⊷≩(⊺⇮3927∕⩚⊺⇮3632)))≦↸(((⊺⇮2992%⊺⇮4116)↡⊰⫅(⊺⇮4234↱⊺⇮1152))⨼⩣(⊺⇮1754⨭⪣⊺⇮7406)∘⊺⇮4194≌⊺⇮7555)=NaN","reverse_text":"NaN=((↥(⊤⊝⊺⇮1408))∖(⩏⊷≩(⊺⇮3927∕⩚⊺⇮3632)))≦↸(((⊺⇮2992%⊺⇮4116)↡⊰⫅(⊺⇮4234↱⊺⇮1152))⨼⩣(⊺⇮1754⨭⪣⊺⇮7406)∘⊺⇮4194≌⊺⇮7555)","cot":[{"info":"⊤⊝⊺⇮1408=⊺⇮1518","layer":3},{"info":"↥⊺⇮1518=⊺⇮39","layer":2},{"info":"⊺⇮3927∕⩚⊺⇮3632=⊺⇮-3930","layer":3},{"info":"⩏⊷≩⊺⇮-3930=⊺⇮16334","layer":2},{"info":"⊺⇮39∖⊺⇮16334=⊺⇮0","layer":1},{"info":"⊺⇮2992%⊺⇮4116=⊺⇮2992","layer":3},{"info":"⊺⇮4234↱⊺⇮1152=⊺⇮-2934","layer":3},{"info":"⊺⇮2992↡⊰⫅⊺⇮-2934=NaN","layer":2},{"info":"⊺⇮1754⨭⪣⊺⇮7406=⊺⇮475","layer":3},{"info":"⊺⇮4194≌⊺⇮7555=NaN","layer":3},{"info":"⊺⇮475∘NaN=⊺⇮950","layer":2},{"info":"NaN⨼⩣⊺⇮950=NaN","layer":1},{"info":"⊺⇮0≦↸NaN=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"(⪛⨧($1384$⊋≦⊧$2712$))⊉↱≁($1894$⫲≸⪮$1396$)⨽∌($4455$⊭↱$1573$)⫸⇳(($2966$≒∊$2287$)⋹⋡⊁($4819$⫞⩸⩒$7486$)⨲)","expression":"(⪛⨧(⊺⇮1384⊋≦⊧⊺⇮2712))⊉↱≁(⊺⇮1894⫲≸⪮⊺⇮1396)⨽∌(⊺⇮4455⊭↱⊺⇮1573)⫸⇳((⊺⇮2966≒∊⊺⇮2287)⋹⋡⊁(⊺⇮4819⫞⩸⩒⊺⇮7486)⨲)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":66223,"operation_count":11,"complexity_ratio":6020.272727272727,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1384,"base":10},"right_expr":{"type":"numeric_atoms","value":2712,"base":10}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1894,"base":10},"right_expr":{"type":"numeric_atoms","value":1396,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4455,"base":10},"right_expr":{"type":"numeric_atoms","value":1573,"base":10}}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2966,"base":10},"right_expr":{"type":"numeric_atoms","value":2287,"base":10}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":4819,"base":10},"right_expr":{"type":"numeric_atoms","value":7486,"base":10}}}}},"used_operators":["gx7XJ7hdpj","w2P8NbNXyL","6NJAcO2OWT","oRDoc9rAEX","9samAPKr6k","P3lXMJvFrc","COABgblf1C","nLYMGWM7L8","As8RqfVLgs","5KTvxBwnZo","XGcMNugi78"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1384","layer":4},{"info":"number node, value=2712","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=2712, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3856","layer":3},{"info":"compute unary expreesion, input=-3856, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-6311","layer":2},{"info":"number node, value=1894","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=1396, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1894","layer":3},{"info":"number node, value=4455","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=4455, right_input=1573, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5759","layer":3},{"info":"compute binary expreesion, left_input=1894, right_input=-5759, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-6311, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-64224","layer":1},{"info":"number node, value=2966","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=2287, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2482","layer":3},{"info":"number node, value=4819","layer":4},{"info":"number node, value=7486","layer":4},{"info":"compute binary expreesion, left_input=4819, right_input=7486, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=7486","layer":3},{"info":"compute binary expreesion, left_input=-2482, right_input=7486, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=8236","layer":2},{"info":"compute unary expreesion, input=8236, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-64224, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⪛⨧(⊺⇮1384⊋≦⊧⊺⇮2712))⊉↱≁(⊺⇮1894⫲≸⪮⊺⇮1396)⨽∌(⊺⇮4455⊭↱⊺⇮1573)⫸⇳((⊺⇮2966≒∊⊺⇮2287)⋹⋡⊁(⊺⇮4819⫞⩸⩒⊺⇮7486)⨲)=⊺⇮0","reverse_text":"⊺⇮0=(⪛⨧(⊺⇮1384⊋≦⊧⊺⇮2712))⊉↱≁(⊺⇮1894⫲≸⪮⊺⇮1396)⨽∌(⊺⇮4455⊭↱⊺⇮1573)⫸⇳((⊺⇮2966≒∊⊺⇮2287)⋹⋡⊁(⊺⇮4819⫞⩸⩒⊺⇮7486)⨲)","cot":[{"info":"⊺⇮1384⊋≦⊧⊺⇮2712=⊺⇮-3856","layer":3},{"info":"⪛⨧⊺⇮-3856=⊺⇮-6311","layer":2},{"info":"⊺⇮1894⫲≸⪮⊺⇮1396=⊺⇮1894","layer":3},{"info":"⊺⇮4455⊭↱⊺⇮1573=⊺⇮-5759","layer":3},{"info":"⊺⇮1894⨽∌⊺⇮-5759=⊺⇮0","layer":2},{"info":"⊺⇮-6311⊉↱≁⊺⇮0=⊺⇮-64224","layer":1},{"info":"⊺⇮2966≒∊⊺⇮2287=⊺⇮-2482","layer":3},{"info":"⊺⇮4819⫞⩸⩒⊺⇮7486=⊺⇮7486","layer":3},{"info":"⊺⇮-2482⋹⋡⊁⊺⇮7486=⊺⇮8236","layer":2},{"info":"⊺⇮8236⨲=NaN","layer":1},{"info":"⊺⇮-64224⫸⇳NaN=⊺⇮0","layer":0}]}
{"id":845,"expression_no_base_symbol":"(⩷⨜⫀(($1071$⨐⩸⫘$2173$)⊔$1579$⪒⊣⊆$3596$))∖(↞≼$1287$⨸$1896$)⪪($4886$⋹⋡⊁$3123$⨒($2142$⫏⊷))","expression":"(⩷⨜⫀((⊺⇮1071⨐⩸⫘⊺⇮2173)⊔⊺⇮1579⪒⊣⊆⊺⇮3596))∖(↞≼⊺⇮1287⨸⊺⇮1896)⪪(⊺⇮4886⋹⋡⊁⊺⇮3123⨒(⊺⇮2142⫏⊷))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":131479,"operation_count":11,"complexity_ratio":11952.636363636364,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1071,"base":10},"right_expr":{"type":"numeric_atoms","value":2173,"base":10}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1579,"base":10},"right_expr":{"type":"numeric_atoms","value":3596,"base":10}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1287,"base":10},"right_expr":{"type":"numeric_atoms","value":1896,"base":10}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4886,"base":10},"right_expr":{"type":"numeric_atoms","value":3123,"base":10}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":2142,"base":10}}}}},"used_operators":["tXD093vOjl","CDi0ktkjQ4","E4l6HwMY31","fu6greOZ01","eRqsBgTDFp","xD69zh8xqp","DE7zCoGJt9","KmoU8R5UQR","y75s1iXyHd","As8RqfVLgs","dcShxvzhyw"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","3ViojmjbAp","sdazOOVcIp","W4YGzv6Whe","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=2173, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1579","layer":4},{"info":"number node, value=3596","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=3596, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3158","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3158, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":1},{"info":"number node, value=1287","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=1896, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2574","layer":3},{"info":"compute unary expreesion, input=2574, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=20178","layer":2},{"info":"number node, value=4886","layer":4},{"info":"number node, value=3123","layer":4},{"info":"compute binary expreesion, left_input=4886, right_input=3123, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3873","layer":3},{"info":"number node, value=2142","layer":4},{"info":"compute unary expreesion, input=2142, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=3873, right_input=-820, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=20178, right_input=0, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-3042967","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-3042967, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⩷⨜⫀((⊺⇮1071⨐⩸⫘⊺⇮2173)⊔⊺⇮1579⪒⊣⊆⊺⇮3596))∖(↞≼⊺⇮1287⨸⊺⇮1896)⪪(⊺⇮4886⋹⋡⊁⊺⇮3123⨒(⊺⇮2142⫏⊷))=⊺⇮0","reverse_text":"⊺⇮0=(⩷⨜⫀((⊺⇮1071⨐⩸⫘⊺⇮2173)⊔⊺⇮1579⪒⊣⊆⊺⇮3596))∖(↞≼⊺⇮1287⨸⊺⇮1896)⪪(⊺⇮4886⋹⋡⊁⊺⇮3123⨒(⊺⇮2142⫏⊷))","cot":[{"info":"⊺⇮1071⨐⩸⫘⊺⇮2173=NaN","layer":3},{"info":"⊺⇮1579⪒⊣⊆⊺⇮3596=⊺⇮3158","layer":3},{"info":"NaN⊔⊺⇮3158=NaN","layer":2},{"info":"⩷⨜⫀NaN=⊺⇮-134","layer":1},{"info":"⊺⇮1287⨸⊺⇮1896=⊺⇮2574","layer":3},{"info":"↞≼⊺⇮2574=⊺⇮20178","layer":2},{"info":"⊺⇮4886⋹⋡⊁⊺⇮3123=⊺⇮3873","layer":3},{"info":"⊺⇮2142⫏⊷=⊺⇮-820","layer":3},{"info":"⊺⇮3873⨒⊺⇮-820=⊺⇮0","layer":2},{"info":"⊺⇮20178⪪⊺⇮0=⊺⇮-3042967","layer":1},{"info":"⊺⇮-134∖⊺⇮-3042967=⊺⇮0","layer":0}]}
{"id":846,"expression_no_base_symbol":"(($2570$⊉≛↸$1132$∪⫐(⇵⪽$2589$))≧⫂∧($1140$⇄$5881$⪨⊡$3472$⪬$1399$))⨼⩣($1599$⩍⋽⫝̸$7699$⪛⫼($1761$∙⊟$2040$)⪨≂$3932$⩦$3467$⨐⩸⫘($7085$⨀⨒))","expression":"((⊺⇮2570⊉≛↸⊺⇮1132∪⫐(⇵⪽⊺⇮2589))≧⫂∧(⊺⇮1140⇄⊺⇮5881⪨⊡⊺⇮3472⪬⊺⇮1399))⨼⩣(⊺⇮1599⩍⋽⫝̸⊺⇮7699⪛⫼(⊺⇮1761∙⊟⊺⇮2040)⪨≂⊺⇮3932⩦⊺⇮3467⨐⩸⫘(⊺⇮7085⨀⨒))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3052,"operation_count":15,"complexity_ratio":203.46666666666667,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2570,"base":10},"right_expr":{"type":"numeric_atoms","value":1132,"base":10}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2589,"base":10}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1140,"base":10},"right_expr":{"type":"numeric_atoms","value":5881,"base":10}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3472,"base":10},"right_expr":{"type":"numeric_atoms","value":1399,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1599,"base":10},"right_expr":{"type":"numeric_atoms","value":7699,"base":10}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1761,"base":10},"right_expr":{"type":"numeric_atoms","value":2040,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3932,"base":10},"right_expr":{"type":"numeric_atoms","value":3467,"base":10}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":7085,"base":10}}}}},"used_operators":["JxwMv5le6e","Ph9nP6C5qx","7YooWSwCyH","DZ8iAZOCBD","ZGCBLdVRRX","kuIXHzHcAH","3EYGwJThht","Ez1Nq5fNfI","sdazOOVcIp","hyuBjUqXlG","BiWNJpBvwn","SxTAKzQCrw","fu6greOZ01","0kmYd0q39Y","j6NVkjMzuk"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","U7g4x0WXJJ","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Ph9nP6C5qx","xUOZtlo3hN","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","3ViojmjbAp","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2570","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=2570, right_input=1132, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5140","layer":3},{"info":"number node, value=2589","layer":4},{"info":"compute unary expreesion, input=2589, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5140, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5140","layer":2},{"info":"number node, value=1140","layer":4},{"info":"number node, value=5881","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=5881, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3472","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=3472, right_input=1399, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5140, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"number node, value=1599","layer":4},{"info":"number node, value=7699","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=7699, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=6753","layer":3},{"info":"number node, value=1761","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=2040, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=32739","layer":3},{"info":"compute binary expreesion, left_input=6753, right_input=32739, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=3932","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=3932, right_input=3467, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7864","layer":3},{"info":"number node, value=7085","layer":4},{"info":"compute unary expreesion, input=7085, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=95922","layer":3},{"info":"compute binary expreesion, left_input=7864, right_input=95922, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2570⊉≛↸⊺⇮1132∪⫐(⇵⪽⊺⇮2589))≧⫂∧(⊺⇮1140⇄⊺⇮5881⪨⊡⊺⇮3472⪬⊺⇮1399))⨼⩣(⊺⇮1599⩍⋽⫝̸⊺⇮7699⪛⫼(⊺⇮1761∙⊟⊺⇮2040)⪨≂⊺⇮3932⩦⊺⇮3467⨐⩸⫘(⊺⇮7085⨀⨒))=NaN","reverse_text":"NaN=((⊺⇮2570⊉≛↸⊺⇮1132∪⫐(⇵⪽⊺⇮2589))≧⫂∧(⊺⇮1140⇄⊺⇮5881⪨⊡⊺⇮3472⪬⊺⇮1399))⨼⩣(⊺⇮1599⩍⋽⫝̸⊺⇮7699⪛⫼(⊺⇮1761∙⊟⊺⇮2040)⪨≂⊺⇮3932⩦⊺⇮3467⨐⩸⫘(⊺⇮7085⨀⨒))","cot":[{"info":"⊺⇮2570⊉≛↸⊺⇮1132=⊺⇮5140","layer":3},{"info":"⇵⪽⊺⇮2589=NaN","layer":3},{"info":"⊺⇮5140∪⫐NaN=⊺⇮5140","layer":2},{"info":"⊺⇮1140⇄⊺⇮5881=⊺⇮0","layer":3},{"info":"⊺⇮3472⪬⊺⇮1399=⊺⇮1234","layer":3},{"info":"⊺⇮0⪨⊡⊺⇮1234=⊺⇮0","layer":2},{"info":"⊺⇮5140≧⫂∧⊺⇮0=⊺⇮-473","layer":1},{"info":"⊺⇮1599⩍⋽⫝̸⊺⇮7699=⊺⇮6753","layer":3},{"info":"⊺⇮1761∙⊟⊺⇮2040=⊺⇮32739","layer":3},{"info":"⊺⇮6753⪛⫼⊺⇮32739=⊺⇮968","layer":2},{"info":"⊺⇮3932⩦⊺⇮3467=⊺⇮7864","layer":3},{"info":"⊺⇮7085⨀⨒=⊺⇮95922","layer":3},{"info":"⊺⇮7864⨐⩸⫘⊺⇮95922=NaN","layer":2},{"info":"⊺⇮968⪨≂NaN=NaN","layer":1},{"info":"⊺⇮-473⨼⩣NaN=NaN","layer":0}]}
{"id":847,"expression_no_base_symbol":"($5295$⨼⩣$3268$)⫁(↑$2739$)∀⇚≩(⪭⩑⪱$3480$⩁⩘$5045$)≓∲$4440$⨸$6353$+⪬∐($3350$⊴$7490$)⩧⪆($1155$⊹∫⫚$1341$)⋾⨃∁$1746$⇷$1381$","expression":"(⊺⇮5295⨼⩣⊺⇮3268)⫁(↑⊺⇮2739)∀⇚≩(⪭⩑⪱⊺⇮3480⩁⩘⊺⇮5045)≓∲⊺⇮4440⨸⊺⇮6353+⪬∐(⊺⇮3350⊴⊺⇮7490)⩧⪆(⊺⇮1155⊹∫⫚⊺⇮1341)⋾⨃∁⊺⇮1746⇷⊺⇮1381","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1281505,"operation_count":14,"complexity_ratio":91536.07142857143,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5295,"base":10},"right_expr":{"type":"numeric_atoms","value":3268,"base":10}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2739,"base":10}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3480,"base":10},"right_expr":{"type":"numeric_atoms","value":5045,"base":10}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4440,"base":10},"right_expr":{"type":"numeric_atoms","value":6353,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3350,"base":10},"right_expr":{"type":"numeric_atoms","value":7490,"base":10}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1155,"base":10},"right_expr":{"type":"numeric_atoms","value":1341,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1746,"base":10},"right_expr":{"type":"numeric_atoms","value":1381,"base":10}}}}},"used_operators":["s1XTVnmDOJ","LRNGc0VcxI","0ajvFaJAv0","JxwMv5le6e","tR7O2zTn5j","SIgE0bArFf","gub5Cegaqo","Ikt5ks8PT7","2GS7woTJqF","KmoU8R5UQR","Nsiff2A1zJ","212REbPD9h","uWAJUKEvyW","mp7IySMOzn"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","X99M06cbEe","cHh1gJQ2o6","AHs5Up7iyr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","DpFCA1CohY","IWmyXbctLI","eewbuw0ToL","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","dWAJyo7jo9","14qkJME0vr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5295","layer":4},{"info":"number node, value=3268","layer":4},{"info":"compute binary expreesion, left_input=5295, right_input=3268, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2739","layer":4},{"info":"compute unary expreesion, input=2739, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=3480","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=3480, right_input=5045, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=21128","layer":3},{"info":"compute unary expreesion, input=21128, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=8320752, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4440","layer":4},{"info":"number node, value=6353","layer":4},{"info":"compute binary expreesion, left_input=4440, right_input=6353, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8880","layer":3},{"info":"number node, value=3350","layer":4},{"info":"number node, value=7490","layer":4},{"info":"compute binary expreesion, left_input=3350, right_input=7490, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8880, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-26640","layer":2},{"info":"number node, value=1155","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=1341, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-180","layer":3},{"info":"number node, value=1746","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=1381, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2762","layer":3},{"info":"compute binary expreesion, left_input=-180, right_input=2762, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=76253202","layer":2},{"info":"compute binary expreesion, left_input=-26640, right_input=76253202, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-76253202","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-76253202, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5295⨼⩣⊺⇮3268)⫁(↑⊺⇮2739)∀⇚≩(⪭⩑⪱⊺⇮3480⩁⩘⊺⇮5045)≓∲⊺⇮4440⨸⊺⇮6353+⪬∐(⊺⇮3350⊴⊺⇮7490)⩧⪆(⊺⇮1155⊹∫⫚⊺⇮1341)⋾⨃∁⊺⇮1746⇷⊺⇮1381=NaN","reverse_text":"NaN=(⊺⇮5295⨼⩣⊺⇮3268)⫁(↑⊺⇮2739)∀⇚≩(⪭⩑⪱⊺⇮3480⩁⩘⊺⇮5045)≓∲⊺⇮4440⨸⊺⇮6353+⪬∐(⊺⇮3350⊴⊺⇮7490)⩧⪆(⊺⇮1155⊹∫⫚⊺⇮1341)⋾⨃∁⊺⇮1746⇷⊺⇮1381","cot":[{"info":"⊺⇮5295⨼⩣⊺⇮3268=NaN","layer":3},{"info":"↑⊺⇮2739=⊺⇮192","layer":3},{"info":"NaN⫁⊺⇮192=⊺⇮160","layer":2},{"info":"⊺⇮3480⩁⩘⊺⇮5045=⊺⇮21128","layer":3},{"info":"⪭⩑⪱⊺⇮21128=⊺⇮8320752","layer":2},{"info":"⊺⇮160∀⇚≩⊺⇮8320752=NaN","layer":1},{"info":"⊺⇮4440⨸⊺⇮6353=⊺⇮8880","layer":3},{"info":"⊺⇮3350⊴⊺⇮7490=NaN","layer":3},{"info":"⊺⇮8880+⪬∐NaN=⊺⇮-26640","layer":2},{"info":"⊺⇮1155⊹∫⫚⊺⇮1341=⊺⇮-180","layer":3},{"info":"⊺⇮1746⇷⊺⇮1381=⊺⇮2762","layer":3},{"info":"⊺⇮-180⋾⨃∁⊺⇮2762=⊺⇮76253202","layer":2},{"info":"⊺⇮-26640⩧⪆⊺⇮76253202=⊺⇮-76253202","layer":1},{"info":"NaN≓∲⊺⇮-76253202=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"(≀↧⇸($1655$⋘⨑⨽))⪛($3479$⇤$6084$⫲≸⪮$1437$⪘⫢$1383$)⊲⩕⊾(∜⨇($1469$⪓⨏))≚⊃≕($2541$⇷$6049$⇣⩺⋵($1918$⪐))","expression":"(≀↧⇸(⊺⇮1655⋘⨑⨽))⪛(⊺⇮3479⇤⊺⇮6084⫲≸⪮⊺⇮1437⪘⫢⊺⇮1383)⊲⩕⊾(∜⨇(⊺⇮1469⪓⨏))≚⊃≕(⊺⇮2541⇷⊺⇮6049⇣⩺⋵(⊺⇮1918⪐))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":82404,"operation_count":13,"complexity_ratio":6338.7692307692305,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":1655,"base":10}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3479,"base":10},"right_expr":{"type":"numeric_atoms","value":6084,"base":10}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1437,"base":10},"right_expr":{"type":"numeric_atoms","value":1383,"base":10}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1469,"base":10}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2541,"base":10},"right_expr":{"type":"numeric_atoms","value":6049,"base":10}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1918,"base":10}}}}},"used_operators":["DmTXOeWf9t","uFcxV4UQCh","ljTHtUsqzn","WmT3o8z6ya","P3lXMJvFrc","YSKBFp38Pu","oacrs7FA3X","Bmrmz2XGnR","uFPyJr306J","4X9JU4Jbn6","F4yD0voBRQ","mp7IySMOzn","eH2TOUuTDT"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1655","layer":4},{"info":"compute unary expreesion, input=1655, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=9058","layer":3},{"info":"compute unary expreesion, input=9058, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=18116","layer":2},{"info":"number node, value=3479","layer":4},{"info":"number node, value=6084","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=6084, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-44967","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=1383, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2750","layer":3},{"info":"compute binary expreesion, left_input=-44967, right_input=2750, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=44967","layer":2},{"info":"compute binary expreesion, left_input=18116, right_input=44967, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=18116","layer":1},{"info":"number node, value=1469","layer":4},{"info":"compute unary expreesion, input=1469, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=2541","layer":4},{"info":"number node, value=6049","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=6049, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12098","layer":3},{"info":"number node, value=1918","layer":4},{"info":"compute unary expreesion, input=1918, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3836","layer":3},{"info":"compute binary expreesion, left_input=12098, right_input=3836, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18116, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≀↧⇸(⊺⇮1655⋘⨑⨽))⪛(⊺⇮3479⇤⊺⇮6084⫲≸⪮⊺⇮1437⪘⫢⊺⇮1383)⊲⩕⊾(∜⨇(⊺⇮1469⪓⨏))≚⊃≕(⊺⇮2541⇷⊺⇮6049⇣⩺⋵(⊺⇮1918⪐))=NaN","reverse_text":"NaN=(≀↧⇸(⊺⇮1655⋘⨑⨽))⪛(⊺⇮3479⇤⊺⇮6084⫲≸⪮⊺⇮1437⪘⫢⊺⇮1383)⊲⩕⊾(∜⨇(⊺⇮1469⪓⨏))≚⊃≕(⊺⇮2541⇷⊺⇮6049⇣⩺⋵(⊺⇮1918⪐))","cot":[{"info":"⊺⇮1655⋘⨑⨽=⊺⇮9058","layer":3},{"info":"≀↧⇸⊺⇮9058=⊺⇮18116","layer":2},{"info":"⊺⇮3479⇤⊺⇮6084=⊺⇮-44967","layer":3},{"info":"⊺⇮1437⪘⫢⊺⇮1383=⊺⇮2750","layer":3},{"info":"⊺⇮-44967⫲≸⪮⊺⇮2750=⊺⇮44967","layer":2},{"info":"⊺⇮18116⪛⊺⇮44967=⊺⇮18116","layer":1},{"info":"⊺⇮1469⪓⨏=NaN","layer":3},{"info":"∜⨇NaN=NaN","layer":2},{"info":"⊺⇮2541⇷⊺⇮6049=⊺⇮12098","layer":3},{"info":"⊺⇮1918⪐=⊺⇮3836","layer":3},{"info":"⊺⇮12098⇣⩺⋵⊺⇮3836=⊺⇮-260","layer":2},{"info":"NaN≚⊃≕⊺⇮-260=NaN","layer":1},{"info":"⊺⇮18116⊲⩕⊾NaN=NaN","layer":0}]}
{"id":849,"expression_no_base_symbol":"⇨(($2788$⩼⇪↪$4220$⫥∨⫟$1291$≳⇉$3386$)⇋≉)","expression":"⇨((⊺⇮2788⩼⇪↪⊺⇮4220⫥∨⫟⊺⇮1291≳⇉⊺⇮3386)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":171580976,"operation_count":5,"complexity_ratio":34316195.2,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2788,"base":10},"right_expr":{"type":"numeric_atoms","value":4220,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1291,"base":10},"right_expr":{"type":"numeric_atoms","value":3386,"base":10}}}}},"used_operators":["G9tJMlZ94a","XIabStNQrY","KYD54nUTWz","ocnLzx9CaJ","V0kx6qeWkN"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2788","layer":4},{"info":"number node, value=4220","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=4220, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-24747","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=3386","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=3386, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-24747, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇨((⊺⇮2788⩼⇪↪⊺⇮4220⫥∨⫟⊺⇮1291≳⇉⊺⇮3386)⇋≉)=NaN","reverse_text":"NaN=⇨((⊺⇮2788⩼⇪↪⊺⇮4220⫥∨⫟⊺⇮1291≳⇉⊺⇮3386)⇋≉)","cot":[{"info":"⊺⇮2788⩼⇪↪⊺⇮4220=⊺⇮-24747","layer":3},{"info":"⊺⇮1291≳⇉⊺⇮3386=NaN","layer":3},{"info":"⊺⇮-24747⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⇨NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"((⇁⨣⪵$3755$↬$6182$)⫠↝⫳)⪎↠((($2794$⇪⋭)⩘⨬⇊)⫡⨏($6378$⊢)⫦⪉(↨$2851$))","expression":"((⇁⨣⪵⊺⇮3755↬⊺⇮6182)⫠↝⫳)⪎↠(((⊺⇮2794⇪⋭)⩘⨬⇊)⫡⨏(⊺⇮6378⊢)⫦⪉(↨⊺⇮2851))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":785,"operation_count":10,"complexity_ratio":78.5,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3755,"base":10},"right_expr":{"type":"numeric_atoms","value":6182,"base":10}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":2794,"base":10}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":6378,"base":10}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2851,"base":10}}}}},"used_operators":["3tVxb0NHM4","8n5YIzOsVS","inkyxCbjAn","B5M0gjZbta","QMFrweE19q","XXmTpEpWTW","Z8Yg6dlDSp","wscyQdcy20","40aOVDgCDB","jiX4gk2v2Q"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","B5M0gjZbta","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","NTOWxs364D","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3755","layer":4},{"info":"number node, value=6182","layer":4},{"info":"compute binary expreesion, left_input=3755, right_input=6182, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":1},{"info":"number node, value=2794","layer":4},{"info":"compute unary expreesion, input=2794, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"number node, value=6378","layer":4},{"info":"compute unary expreesion, input=6378, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-6625","layer":3},{"info":"number node, value=2851","layer":4},{"info":"compute unary expreesion, input=2851, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6625, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=17088","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17088, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⇁⨣⪵⊺⇮3755↬⊺⇮6182)⫠↝⫳)⪎↠(((⊺⇮2794⇪⋭)⩘⨬⇊)⫡⨏(⊺⇮6378⊢)⫦⪉(↨⊺⇮2851))=NaN","reverse_text":"NaN=((⇁⨣⪵⊺⇮3755↬⊺⇮6182)⫠↝⫳)⪎↠(((⊺⇮2794⇪⋭)⩘⨬⇊)⫡⨏(⊺⇮6378⊢)⫦⪉(↨⊺⇮2851))","cot":[{"info":"⊺⇮3755↬⊺⇮6182=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"NaN⫠↝⫳=NaN","layer":1},{"info":"⊺⇮2794⇪⋭=NaN","layer":3},{"info":"NaN⩘⨬⇊=NaN","layer":2},{"info":"⊺⇮6378⊢=⊺⇮-6625","layer":3},{"info":"↨⊺⇮2851=NaN","layer":3},{"info":"⊺⇮-6625⫦⪉NaN=⊺⇮17088","layer":2},{"info":"NaN⫡⨏⊺⇮17088=NaN","layer":1},{"info":"NaN⪎↠NaN=NaN","layer":0}]}
{"id":851,"expression_no_base_symbol":"(($1093$⫳≱↱$2845$)↙$3597$⫘$5534$)⪨⊡(($2107$⊍⩺⋍$2391$)⩤)⫌⩉⩟($1030$⪛⫼$2533$≀⩗∶$1034$⪡$6359$)⊬⨰(⩎⋉(⋂$4381$))","expression":"((⊺⇮1093⫳≱↱⊺⇮2845)↙⊺⇮3597⫘⊺⇮5534)⪨⊡((⊺⇮2107⊍⩺⋍⊺⇮2391)⩤)⫌⩉⩟(⊺⇮1030⪛⫼⊺⇮2533≀⩗∶⊺⇮1034⪡⊺⇮6359)⊬⨰(⩎⋉(⋂⊺⇮4381))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":38160,"operation_count":13,"complexity_ratio":2935.3846153846152,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1093,"base":10},"right_expr":{"type":"numeric_atoms","value":2845,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3597,"base":10},"right_expr":{"type":"numeric_atoms","value":5534,"base":10}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2107,"base":10},"right_expr":{"type":"numeric_atoms","value":2391,"base":10}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1030,"base":10},"right_expr":{"type":"numeric_atoms","value":2533,"base":10}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1034,"base":10},"right_expr":{"type":"numeric_atoms","value":6359,"base":10}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":4381,"base":10}}}}},"used_operators":["XIIwhv8d0m","kuIXHzHcAH","yyfyN0ffXY","ZvLB05nZmT","48vC8HMD2b","Z2TMIBDE3Q","OXDGMFPWZM","s3Fd5m9Dh2","8INZBEW696","hyuBjUqXlG","oraRL2iQuh","FlXk3pOYe8","BUOGQAYlQx"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⊺⇮-50","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=2845, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3597","layer":4},{"info":"number node, value=5534","layer":4},{"info":"compute binary expreesion, left_input=3597, right_input=5534, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4234477","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=4234477, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-204","layer":2},{"info":"number node, value=2107","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=2391, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2533, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=6359","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=6359, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=107, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"number node, value=4381","layer":4},{"info":"compute unary expreesion, input=4381, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-60738","layer":3},{"info":"compute unary expreesion, input=-60738, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1650, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6600","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6600, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1093⫳≱↱⊺⇮2845)↙⊺⇮3597⫘⊺⇮5534)⪨⊡((⊺⇮2107⊍⩺⋍⊺⇮2391)⩤)⫌⩉⩟(⊺⇮1030⪛⫼⊺⇮2533≀⩗∶⊺⇮1034⪡⊺⇮6359)⊬⨰(⩎⋉(⋂⊺⇮4381))=⊺⇮-50","reverse_text":"⊺⇮-50=((⊺⇮1093⫳≱↱⊺⇮2845)↙⊺⇮3597⫘⊺⇮5534)⪨⊡((⊺⇮2107⊍⩺⋍⊺⇮2391)⩤)⫌⩉⩟(⊺⇮1030⪛⫼⊺⇮2533≀⩗∶⊺⇮1034⪡⊺⇮6359)⊬⨰(⩎⋉(⋂⊺⇮4381))","cot":[{"info":"⊺⇮1093⫳≱↱⊺⇮2845=⊺⇮-204","layer":3},{"info":"⊺⇮3597⫘⊺⇮5534=⊺⇮4234477","layer":3},{"info":"⊺⇮-204↙⊺⇮4234477=⊺⇮-204","layer":2},{"info":"⊺⇮2107⊍⩺⋍⊺⇮2391=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"⊺⇮-204⪨⊡NaN=NaN","layer":1},{"info":"⊺⇮1030⪛⫼⊺⇮2533=⊺⇮968","layer":3},{"info":"⊺⇮1034⪡⊺⇮6359=⊺⇮107","layer":3},{"info":"⊺⇮968≀⩗∶⊺⇮107=⊺⇮0","layer":2},{"info":"⋂⊺⇮4381=⊺⇮-60738","layer":3},{"info":"⩎⋉⊺⇮-60738=⊺⇮1650","layer":2},{"info":"⊺⇮0⊬⨰⊺⇮1650=⊺⇮6600","layer":1},{"info":"NaN⫌⩉⩟⊺⇮6600=⊺⇮-50","layer":0}]}
{"id":852,"expression_no_base_symbol":"↡(⇙⪊($1683$⨂≜$1251$+⇶⊼$1120$⨜⨶$1650$))","expression":"↡(⇙⪊(⊺⇮1683⨂≜⊺⇮1251+⇶⊼⊺⇮1120⨜⨶⊺⇮1650))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1761,"operation_count":5,"complexity_ratio":352.2,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1683,"base":10},"right_expr":{"type":"numeric_atoms","value":1251,"base":10}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1120,"base":10},"right_expr":{"type":"numeric_atoms","value":1650,"base":10}}}}},"used_operators":["MXaNJeIAZ3","pB6Fcnrjim","TpPTUOHfaN","k1SHOSEABc","HiPekx5b7W"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","AHs5Up7iyr","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1683","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=1251, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1120","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=1650, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3044","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3044, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"↡(⇙⪊(⊺⇮1683⨂≜⊺⇮1251+⇶⊼⊺⇮1120⨜⨶⊺⇮1650))=NaN","reverse_text":"NaN=↡(⇙⪊(⊺⇮1683⨂≜⊺⇮1251+⇶⊼⊺⇮1120⨜⨶⊺⇮1650))","cot":[{"info":"⊺⇮1683⨂≜⊺⇮1251=NaN","layer":3},{"info":"⊺⇮1120⨜⨶⊺⇮1650=⊺⇮-3044","layer":3},{"info":"NaN+⇶⊼⊺⇮-3044=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"↡NaN=NaN","layer":0}]}
{"id":853,"expression_no_base_symbol":"≯(⋎⨆($2502$⩨$2003$/($1994$⊧↖)))","expression":"≯(⋎⨆(⊺⇮2502⩨⊺⇮2003/(⊺⇮1994⊧↖)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2092,"operation_count":5,"complexity_ratio":418.4,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2502,"base":10},"right_expr":{"type":"numeric_atoms","value":2003,"base":10}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1994,"base":10}}}}},"used_operators":["keWfFq85dY","E64sFOc4tB","XhwjNDsVaA","2DlMacCsIx","EKiFHuOFxO"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2502","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=2003, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1994","layer":4},{"info":"compute unary expreesion, input=1994, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=23865308","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=23865308, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":10,"result_base":10,"text":"≯(⋎⨆(⊺⇮2502⩨⊺⇮2003/(⊺⇮1994⊧↖)))=⊺⇮0","reverse_text":"⊺⇮0=≯(⋎⨆(⊺⇮2502⩨⊺⇮2003/(⊺⇮1994⊧↖)))","cot":[{"info":"⊺⇮2502⩨⊺⇮2003=⊺⇮0","layer":3},{"info":"⊺⇮1994⊧↖=⊺⇮23865308","layer":3},{"info":"⊺⇮0/⊺⇮23865308=⊺⇮0","layer":2},{"info":"⋎⨆⊺⇮0=⊺⇮0","layer":1},{"info":"≯⊺⇮0=⊺⇮0","layer":0}]}
{"id":854,"expression_no_base_symbol":"(($1353$⩷∴$2001$)≨(↣≠⋷$1630$)/$2325$⊨$4665$↺(∤↝$2603$))⩺⪪(($2198$↙$3842$)⩧⪆($7851$⊹∫⫚$1139$))⊋($1757$⋾⨃∁$8734$)⪟⇏($8706$⊨$1010$)","expression":"((⊺⇮1353⩷∴⊺⇮2001)≨(↣≠⋷⊺⇮1630)/⊺⇮2325⊨⊺⇮4665↺(∤↝⊺⇮2603))⩺⪪((⊺⇮2198↙⊺⇮3842)⩧⪆(⊺⇮7851⊹∫⫚⊺⇮1139))⊋(⊺⇮1757⋾⨃∁⊺⇮8734)⪟⇏(⊺⇮8706⊨⊺⇮1010)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21570,"operation_count":15,"complexity_ratio":1438.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1353,"base":10},"right_expr":{"type":"numeric_atoms","value":2001,"base":10}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1630,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2325,"base":10},"right_expr":{"type":"numeric_atoms","value":4665,"base":10}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2603,"base":10}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2198,"base":10},"right_expr":{"type":"numeric_atoms","value":3842,"base":10}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":7851,"base":10},"right_expr":{"type":"numeric_atoms","value":1139,"base":10}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1757,"base":10},"right_expr":{"type":"numeric_atoms","value":8734,"base":10}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":8706,"base":10},"right_expr":{"type":"numeric_atoms","value":1010,"base":10}}}}},"used_operators":["uvdQJvN4PV","XhwjNDsVaA","0KMCeP1Jsh","9FxExcQeMw","Asc51vEJeQ","7j4O788W3g","vg4gO5BX6G","3UMq87Qwqg","W4tP9CfskL","Ikt5ks8PT7","yyfyN0ffXY","uWAJUKEvyW","GODebY97qR","212REbPD9h"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eewbuw0ToL","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⊺⇮1914","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1353","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=2001, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1328","layer":3},{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1328, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=3312","layer":2},{"info":"number node, value=2325","layer":4},{"info":"number node, value=4665","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=4665, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=10331","layer":3},{"info":"number node, value=2603","layer":4},{"info":"compute unary expreesion, input=2603, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=2603","layer":3},{"info":"compute binary expreesion, left_input=10331, right_input=2603, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2603","layer":2},{"info":"compute binary expreesion, left_input=3312, right_input=2603, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=2198","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=3842, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11526","layer":3},{"info":"number node, value=7851","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=7851, right_input=1139, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-196","layer":3},{"info":"compute binary expreesion, left_input=-11526, right_input=-196, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=196","layer":2},{"info":"number node, value=1757","layer":4},{"info":"number node, value=8734","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=8734, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=762722658","layer":3},{"info":"number node, value=8706","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=8706, right_input=1010, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=35855","layer":3},{"info":"compute binary expreesion, left_input=762722658, right_input=35855, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=-5454, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1353⩷∴⊺⇮2001)≨(↣≠⋷⊺⇮1630)/⊺⇮2325⊨⊺⇮4665↺(∤↝⊺⇮2603))⩺⪪((⊺⇮2198↙⊺⇮3842)⩧⪆(⊺⇮7851⊹∫⫚⊺⇮1139))⊋(⊺⇮1757⋾⨃∁⊺⇮8734)⪟⇏(⊺⇮8706⊨⊺⇮1010)=⊺⇮1914","reverse_text":"⊺⇮1914=((⊺⇮1353⩷∴⊺⇮2001)≨(↣≠⋷⊺⇮1630)/⊺⇮2325⊨⊺⇮4665↺(∤↝⊺⇮2603))⩺⪪((⊺⇮2198↙⊺⇮3842)⩧⪆(⊺⇮7851⊹∫⫚⊺⇮1139))⊋(⊺⇮1757⋾⨃∁⊺⇮8734)⪟⇏(⊺⇮8706⊨⊺⇮1010)","cot":[{"info":"⊺⇮1353⩷∴⊺⇮2001=⊺⇮-1328","layer":3},{"info":"↣≠⋷⊺⇮1630=NaN","layer":3},{"info":"⊺⇮-1328≨NaN=⊺⇮3312","layer":2},{"info":"⊺⇮2325⊨⊺⇮4665=⊺⇮10331","layer":3},{"info":"∤↝⊺⇮2603=⊺⇮2603","layer":3},{"info":"⊺⇮10331↺⊺⇮2603=⊺⇮2603","layer":2},{"info":"⊺⇮3312/⊺⇮2603=⊺⇮1","layer":1},{"info":"⊺⇮2198↙⊺⇮3842=⊺⇮-11526","layer":3},{"info":"⊺⇮7851⊹∫⫚⊺⇮1139=⊺⇮-196","layer":3},{"info":"⊺⇮-11526⩧⪆⊺⇮-196=⊺⇮196","layer":2},{"info":"⊺⇮1757⋾⨃∁⊺⇮8734=⊺⇮762722658","layer":3},{"info":"⊺⇮8706⊨⊺⇮1010=⊺⇮35855","layer":3},{"info":"⊺⇮762722658⪟⇏⊺⇮35855=⊺⇮0","layer":2},{"info":"⊺⇮196⊋⊺⇮0=⊺⇮-5454","layer":1},{"info":"⊺⇮1⩺⪪⊺⇮-5454=⊺⇮1914","layer":0}]}
{"id":855,"expression_no_base_symbol":"(($1640$⫘$1395$)⊢($1382$∷$1708$)≀⫉(⫓⪴(↘$3034$)))⫚⫇","expression":"((⊺⇮1640⫘⊺⇮1395)⊢(⊺⇮1382∷⊺⇮1708)≀⫉(⫓⪴(↘⊺⇮3034)))⫚⫇","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2354,"operation_count":7,"complexity_ratio":336.2857142857143,"tree":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1640,"base":10},"right_expr":{"type":"numeric_atoms","value":1395,"base":10}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1382,"base":10},"right_expr":{"type":"numeric_atoms","value":1708,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3034,"base":10}}}}},"used_operators":["SdCjLnB6rR","oZj3VtZNQx","5twsqlHp2o","48vC8HMD2b","D3AQDKkPcf","eLxqMNBOBk","LdNpr8hQHL"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9HNa5Wba9A","uFcxV4UQCh"],"result":"⊺⇮4176","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1640","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=1395, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1933045","layer":3},{"info":"number node, value=1382","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=1708, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1708","layer":3},{"info":"compute binary expreesion, left_input=1933045, right_input=1708, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3866334","layer":2},{"info":"number node, value=3034","layer":4},{"info":"compute unary expreesion, input=3034, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=290","layer":3},{"info":"compute unary expreesion, input=290, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=84100","layer":2},{"info":"compute binary expreesion, left_input=-3866334, right_input=84100, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=4176","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1640⫘⊺⇮1395)⊢(⊺⇮1382∷⊺⇮1708)≀⫉(⫓⪴(↘⊺⇮3034)))⫚⫇=⊺⇮4176","reverse_text":"⊺⇮4176=((⊺⇮1640⫘⊺⇮1395)⊢(⊺⇮1382∷⊺⇮1708)≀⫉(⫓⪴(↘⊺⇮3034)))⫚⫇","cot":[{"info":"⊺⇮1640⫘⊺⇮1395=⊺⇮1933045","layer":3},{"info":"⊺⇮1382∷⊺⇮1708=⊺⇮1708","layer":3},{"info":"⊺⇮1933045⊢⊺⇮1708=⊺⇮-3866334","layer":2},{"info":"↘⊺⇮3034=⊺⇮290","layer":3},{"info":"⫓⪴⊺⇮290=⊺⇮84100","layer":2},{"info":"⊺⇮-3866334≀⫉⊺⇮84100=⊺⇮2822","layer":1},{"info":"⊺⇮2822⫚⫇=⊺⇮4176","layer":0}]}
{"id":856,"expression_no_base_symbol":"∮(($1691$⨟⋌⩍$1169$⋅⇍($6132$-$6583$))⋣⋖(↥($1216$⪉⨛$1940$)))","expression":"∮((⊺⇮1691⨟⋌⩍⊺⇮1169⋅⇍(⊺⇮6132-⊺⇮6583))⋣⋖(↥(⊺⇮1216⪉⨛⊺⇮1940)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":576,"operation_count":7,"complexity_ratio":82.28571428571429,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1691,"base":10},"right_expr":{"type":"numeric_atoms","value":1169,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6132,"base":10},"right_expr":{"type":"numeric_atoms","value":6583,"base":10}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1216,"base":10},"right_expr":{"type":"numeric_atoms","value":1940,"base":10}}}}},"used_operators":["CqXKPLVYql","J0M6qkBnIM","AdZkA7nFnk","rGHVDoGpnC","rysDP5nf3Z","A8NUZmVepG","EWw2JM7wp4"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Tcnh7f0tEr","k8jYdgA6NY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⊺⇮-238158","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1691","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=1169, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6132","layer":4},{"info":"number node, value=6583","layer":4},{"info":"compute binary expreesion, left_input=6132, right_input=6583, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-451","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-451, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=1216","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=1940, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1923","layer":3},{"info":"compute unary expreesion, input=1923, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=36","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=36, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-238158","layer":0}],"base":10,"result_base":10,"text":"∮((⊺⇮1691⨟⋌⩍⊺⇮1169⋅⇍(⊺⇮6132-⊺⇮6583))⋣⋖(↥(⊺⇮1216⪉⨛⊺⇮1940)))=⊺⇮-238158","reverse_text":"⊺⇮-238158=∮((⊺⇮1691⨟⋌⩍⊺⇮1169⋅⇍(⊺⇮6132-⊺⇮6583))⋣⋖(↥(⊺⇮1216⪉⨛⊺⇮1940)))","cot":[{"info":"⊺⇮1691⨟⋌⩍⊺⇮1169=NaN","layer":3},{"info":"⊺⇮6132-⊺⇮6583=⊺⇮-451","layer":3},{"info":"NaN⋅⇍⊺⇮-451=⊺⇮-22","layer":2},{"info":"⊺⇮1216⪉⨛⊺⇮1940=⊺⇮1923","layer":3},{"info":"↥⊺⇮1923=⊺⇮36","layer":2},{"info":"⊺⇮-22⋣⋖⊺⇮36=⊺⇮-22","layer":1},{"info":"∮⊺⇮-22=⊺⇮-238158","layer":0}]}
{"id":857,"expression_no_base_symbol":"(($1012$∴$1010$∐⫣)⇗⋫)⇂≾⫗((⪭⩑⪱$3737$)∌$5134$⨥⫆$6546$⨎($2940$∀⇚≩$1877$)↳≱($1002$⨔⇊$1948$))","expression":"((⊺⇮1012∴⊺⇮1010∐⫣)⇗⋫)⇂≾⫗((⪭⩑⪱⊺⇮3737)∌⊺⇮5134⨥⫆⊺⇮6546⨎(⊺⇮2940∀⇚≩⊺⇮1877)↳≱(⊺⇮1002⨔⇊⊺⇮1948))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":46306,"operation_count":11,"complexity_ratio":4209.636363636364,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1012,"base":10},"right_expr":{"type":"numeric_atoms","value":1010,"base":10}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3737,"base":10}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":5134,"base":10},"right_expr":{"type":"numeric_atoms","value":6546,"base":10}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2940,"base":10},"right_expr":{"type":"numeric_atoms","value":1877,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1002,"base":10},"right_expr":{"type":"numeric_atoms","value":1948,"base":10}}}}},"used_operators":["aBQ6xLxuTc","hpqmaQFPrd","4CyGpkTkEk","hrf7POJlIJ","rJVOvQCfKK","8cLx32lpNA","SIgE0bArFf","yXekIHxTD4","JwTKLfZU96","LRNGc0VcxI","JclMnS0uGI"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rxpJgHHUmx","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1010, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3672","layer":3},{"info":"compute unary expreesion, input=3672, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":2},{"info":"compute unary expreesion, input=551, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"number node, value=3737","layer":4},{"info":"compute unary expreesion, input=3737, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=5134","layer":4},{"info":"number node, value=6546","layer":4},{"info":"compute binary expreesion, left_input=5134, right_input=6546, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=12968","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=12968, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-12968","layer":2},{"info":"number node, value=2940","layer":4},{"info":"number node, value=1877","layer":4},{"info":"compute binary expreesion, left_input=2940, right_input=1877, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1948, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1948","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1948, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-12968, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1012∴⊺⇮1010∐⫣)⇗⋫)⇂≾⫗((⪭⩑⪱⊺⇮3737)∌⊺⇮5134⨥⫆⊺⇮6546⨎(⊺⇮2940∀⇚≩⊺⇮1877)↳≱(⊺⇮1002⨔⇊⊺⇮1948))=NaN","reverse_text":"NaN=((⊺⇮1012∴⊺⇮1010∐⫣)⇗⋫)⇂≾⫗((⪭⩑⪱⊺⇮3737)∌⊺⇮5134⨥⫆⊺⇮6546⨎(⊺⇮2940∀⇚≩⊺⇮1877)↳≱(⊺⇮1002⨔⇊⊺⇮1948))","cot":[{"info":"⊺⇮1012∴⊺⇮1010=⊺⇮3672","layer":3},{"info":"⊺⇮3672∐⫣=⊺⇮551","layer":2},{"info":"⊺⇮551⇗⋫=NaN","layer":1},{"info":"⪭⩑⪱⊺⇮3737=⊺⇮8320752","layer":3},{"info":"⊺⇮5134⨥⫆⊺⇮6546=⊺⇮12968","layer":3},{"info":"⊺⇮8320752∌⊺⇮12968=⊺⇮-12968","layer":2},{"info":"⊺⇮2940∀⇚≩⊺⇮1877=NaN","layer":3},{"info":"⊺⇮1002⨔⇊⊺⇮1948=⊺⇮1948","layer":3},{"info":"NaN↳≱⊺⇮1948=⊺⇮0","layer":2},{"info":"⊺⇮-12968⨎⊺⇮0=⊺⇮0","layer":1},{"info":"NaN⇂≾⫗⊺⇮0=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"∤($8087$↪⪝)⫞⩸⩒$6898$⨿$2839$⪇≇⋚$3658$⊲⩕⊾$6510$⪔($3874$≃$1341$)","expression":"∤(⊺⇮8087↪⪝)⫞⩸⩒⊺⇮6898⨿⊺⇮2839⪇≇⋚⊺⇮3658⊲⩕⊾⊺⇮6510⪔(⊺⇮3874≃⊺⇮1341)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16606,"operation_count":8,"complexity_ratio":2075.75,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":8087,"base":10}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":6898,"base":10},"right_expr":{"type":"numeric_atoms","value":2839,"base":10}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3658,"base":10},"right_expr":{"type":"numeric_atoms","value":6510,"base":10}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3874,"base":10},"right_expr":{"type":"numeric_atoms","value":1341,"base":10}}}}},"used_operators":["k2HlF1dBQh","3sJ7IOPOlU","XGcMNugi78","l07mrZUIn9","abYXlopdE0","GjBEYRfMaF","DmTXOeWf9t","YbVcJGFEVW"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9HNa5Wba9A","2DDjHMKMc0","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⊺⇮9","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8087","layer":4},{"info":"compute unary expreesion, input=8087, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=494778834","layer":3},{"info":"number node, value=6898","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=6898, right_input=2839, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=494778834, right_input=-319, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=494778834","layer":2},{"info":"number node, value=3658","layer":4},{"info":"number node, value=6510","layer":4},{"info":"compute binary expreesion, left_input=3658, right_input=6510, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-120258","layer":3},{"info":"number node, value=3874","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=3874, right_input=1341, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-15536","layer":3},{"info":"compute binary expreesion, left_input=-120258, right_input=-15536, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=494778834, right_input=450, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":10,"result_base":10,"text":"∤(⊺⇮8087↪⪝)⫞⩸⩒⊺⇮6898⨿⊺⇮2839⪇≇⋚⊺⇮3658⊲⩕⊾⊺⇮6510⪔(⊺⇮3874≃⊺⇮1341)=⊺⇮9","reverse_text":"⊺⇮9=∤(⊺⇮8087↪⪝)⫞⩸⩒⊺⇮6898⨿⊺⇮2839⪇≇⋚⊺⇮3658⊲⩕⊾⊺⇮6510⪔(⊺⇮3874≃⊺⇮1341)","cot":[{"info":"⊺⇮8087↪⪝=⊺⇮494778834","layer":3},{"info":"⊺⇮6898⨿⊺⇮2839=⊺⇮-319","layer":3},{"info":"⊺⇮494778834⫞⩸⩒⊺⇮-319=⊺⇮494778834","layer":2},{"info":"⊺⇮3658⊲⩕⊾⊺⇮6510=⊺⇮-120258","layer":3},{"info":"⊺⇮3874≃⊺⇮1341=⊺⇮-15536","layer":3},{"info":"⊺⇮-120258⪔⊺⇮-15536=⊺⇮450","layer":2},{"info":"⊺⇮494778834⪇≇⋚⊺⇮450=⊺⇮0","layer":1},{"info":"∤⊺⇮0=⊺⇮9","layer":0}]}
{"id":859,"expression_no_base_symbol":"((⊵⊁(⩷⨜⫀$2143$))⩤)↼⊘⨖($6902$⨂≜$7113$⪔⊥($1899$∋$1574$)⨲∙)","expression":"((⊵⊁(⩷⨜⫀⊺⇮2143))⩤)↼⊘⨖(⊺⇮6902⨂≜⊺⇮7113⪔⊥(⊺⇮1899∋⊺⇮1574)⨲∙)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7275,"operation_count":8,"complexity_ratio":909.375,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2143,"base":10}}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6902,"base":10},"right_expr":{"type":"numeric_atoms","value":7113,"base":10}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1899,"base":10},"right_expr":{"type":"numeric_atoms","value":1574,"base":10}}}}},"used_operators":["bPywburJMS","Z2TMIBDE3Q","AvED76WdY7","CDi0ktkjQ4","cRahaglYVE","HJ9erzHUuu","k1SHOSEABc","ukq6epAj5P"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","uBihLCJcMX","k8jYdgA6NY","ruOEQAzv1W","nhYeJWJD5X","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2143","layer":4},{"info":"compute unary expreesion, input=2143, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1870","layer":3},{"info":"compute unary expreesion, input=-1870, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":1},{"info":"number node, value=6902","layer":4},{"info":"number node, value=7113","layer":4},{"info":"compute binary expreesion, left_input=6902, right_input=7113, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=1574, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3306404","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3306404, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊵⊁(⩷⨜⫀⊺⇮2143))⩤)↼⊘⨖(⊺⇮6902⨂≜⊺⇮7113⪔⊥(⊺⇮1899∋⊺⇮1574)⨲∙)=NaN","reverse_text":"NaN=((⊵⊁(⩷⨜⫀⊺⇮2143))⩤)↼⊘⨖(⊺⇮6902⨂≜⊺⇮7113⪔⊥(⊺⇮1899∋⊺⇮1574)⨲∙)","cot":[{"info":"⩷⨜⫀⊺⇮2143=⊺⇮-1870","layer":3},{"info":"⊵⊁⊺⇮-1870=⊺⇮0","layer":2},{"info":"⊺⇮0⩤=⊺⇮0","layer":1},{"info":"⊺⇮6902⨂≜⊺⇮7113=NaN","layer":3},{"info":"⊺⇮1899∋⊺⇮1574=⊺⇮3306404","layer":3},{"info":"NaN⪔⊥⊺⇮3306404=NaN","layer":2},{"info":"NaN⨲∙=NaN","layer":1},{"info":"⊺⇮0↼⊘⨖NaN=NaN","layer":0}]}
{"id":860,"expression_no_base_symbol":"($2528$≃$2989$⊨($1577$≎⊠⪸$2710$))↤⩊($4468$⋕⪉⪜$4834$⨒$3148$↡⊰⫅$2503$)↳∿⪆(≅≯⇸$3591$)⊕∕($5785$⋖∅⋲)≴⪞⇿(($2921$≫≃)⇤($1131$⋭≵$3776$))","expression":"(⊺⇮2528≃⊺⇮2989⊨(⊺⇮1577≎⊠⪸⊺⇮2710))↤⩊(⊺⇮4468⋕⪉⪜⊺⇮4834⨒⊺⇮3148↡⊰⫅⊺⇮2503)↳∿⪆(≅≯⇸⊺⇮3591)⊕∕(⊺⇮5785⋖∅⋲)≴⪞⇿((⊺⇮2921≫≃)⇤(⊺⇮1131⋭≵⊺⇮3776))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18627565,"operation_count":15,"complexity_ratio":1241837.6666666667,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2528,"base":10},"right_expr":{"type":"numeric_atoms","value":2989,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1577,"base":10},"right_expr":{"type":"numeric_atoms","value":2710,"base":10}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4468,"base":10},"right_expr":{"type":"numeric_atoms","value":4834,"base":10}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3148,"base":10},"right_expr":{"type":"numeric_atoms","value":2503,"base":10}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":3591,"base":10}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":5785,"base":10}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2921,"base":10}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1131,"base":10},"right_expr":{"type":"numeric_atoms","value":3776,"base":10}}}}},"used_operators":["Cw4SuJJGHO","13rbtpv6ld","vg4gO5BX6G","YbVcJGFEVW","bJkvcejdHO","y75s1iXyHd","z6LnFrNh4i","VCtxkLNOzz","lvlrscuwVU","9cloC0Ngie","apS25hmuAe","L95AwlJzhO","YSKBFp38Pu","X99M06cbEe","jBncVCNhdl"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","EBcxylXtPf","QMFrweE19q","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2528","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=2528, right_input=2989, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-10152","layer":3},{"info":"number node, value=1577","layer":4},{"info":"number node, value=2710","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=2710, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=407970","layer":3},{"info":"compute binary expreesion, left_input=-10152, right_input=407970, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=4468","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=4468, right_input=4834, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=3148","layer":4},{"info":"number node, value=2503","layer":4},{"info":"compute binary expreesion, left_input=3148, right_input=2503, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5006","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=5006, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-16440","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-16440, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=3591","layer":4},{"info":"compute unary expreesion, input=3591, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=22041","layer":3},{"info":"number node, value=5785","layer":4},{"info":"compute unary expreesion, input=5785, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=22041, right_input=-384231, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=22041","layer":2},{"info":"number node, value=2921","layer":4},{"info":"compute unary expreesion, input=2921, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7243","layer":3},{"info":"number node, value=1131","layer":4},{"info":"number node, value=3776","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=3776, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5751","layer":3},{"info":"compute binary expreesion, left_input=7243, right_input=5751, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-62122","layer":2},{"info":"compute binary expreesion, left_input=22041, right_input=-62122, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=946946715","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=946946715, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2528≃⊺⇮2989⊨(⊺⇮1577≎⊠⪸⊺⇮2710))↤⩊(⊺⇮4468⋕⪉⪜⊺⇮4834⨒⊺⇮3148↡⊰⫅⊺⇮2503)↳∿⪆(≅≯⇸⊺⇮3591)⊕∕(⊺⇮5785⋖∅⋲)≴⪞⇿((⊺⇮2921≫≃)⇤(⊺⇮1131⋭≵⊺⇮3776))=NaN","reverse_text":"NaN=(⊺⇮2528≃⊺⇮2989⊨(⊺⇮1577≎⊠⪸⊺⇮2710))↤⩊(⊺⇮4468⋕⪉⪜⊺⇮4834⨒⊺⇮3148↡⊰⫅⊺⇮2503)↳∿⪆(≅≯⇸⊺⇮3591)⊕∕(⊺⇮5785⋖∅⋲)≴⪞⇿((⊺⇮2921≫≃)⇤(⊺⇮1131⋭≵⊺⇮3776))","cot":[{"info":"⊺⇮2528≃⊺⇮2989=⊺⇮-10152","layer":3},{"info":"⊺⇮1577≎⊠⪸⊺⇮2710=⊺⇮407970","layer":3},{"info":"⊺⇮-10152⊨⊺⇮407970=⊺⇮-174","layer":2},{"info":"⊺⇮4468⋕⪉⪜⊺⇮4834=⊺⇮2802","layer":3},{"info":"⊺⇮3148↡⊰⫅⊺⇮2503=⊺⇮5006","layer":3},{"info":"⊺⇮2802⨒⊺⇮5006=⊺⇮-16440","layer":2},{"info":"⊺⇮-174↤⩊⊺⇮-16440=NaN","layer":1},{"info":"≅≯⇸⊺⇮3591=⊺⇮22041","layer":3},{"info":"⊺⇮5785⋖∅⋲=⊺⇮-384231","layer":3},{"info":"⊺⇮22041⊕∕⊺⇮-384231=⊺⇮22041","layer":2},{"info":"⊺⇮2921≫≃=⊺⇮7243","layer":3},{"info":"⊺⇮1131⋭≵⊺⇮3776=⊺⇮5751","layer":3},{"info":"⊺⇮7243⇤⊺⇮5751=⊺⇮-62122","layer":2},{"info":"⊺⇮22041≴⪞⇿⊺⇮-62122=⊺⇮946946715","layer":1},{"info":"NaN↳∿⪆⊺⇮946946715=NaN","layer":0}]}
{"id":861,"expression_no_base_symbol":"(⫎≠⋺$4356$)⪭($1898$⨭⪣$3617$)⨽(⊽($3319$⩍⋽⫝̸$2572$))≬⋮(($5857$⨑≵⋬$3196$)⨂≜($5874$∠⫱$3150$)/($2259$+$2179$+$4992$⪇≇⋚$1866$))","expression":"(⫎≠⋺⊺⇮4356)⪭(⊺⇮1898⨭⪣⊺⇮3617)⨽(⊽(⊺⇮3319⩍⋽⫝̸⊺⇮2572))≬⋮((⊺⇮5857⨑≵⋬⊺⇮3196)⨂≜(⊺⇮5874∠⫱⊺⇮3150)/(⊺⇮2259+⊺⇮2179+⊺⇮4992⪇≇⋚⊺⇮1866))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8622,"operation_count":14,"complexity_ratio":615.8571428571429,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4356,"base":10}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1898,"base":10},"right_expr":{"type":"numeric_atoms","value":3617,"base":10}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3319,"base":10},"right_expr":{"type":"numeric_atoms","value":2572,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5857,"base":10},"right_expr":{"type":"numeric_atoms","value":3196,"base":10}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5874,"base":10},"right_expr":{"type":"numeric_atoms","value":3150,"base":10}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2259,"base":10},"right_expr":{"type":"numeric_atoms","value":2179,"base":10}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4992,"base":10},"right_expr":{"type":"numeric_atoms","value":1866,"base":10}}}}},"used_operators":["kbkesczE7y","8HhzD0ZcuI","j9kHMeSvPp","LYeZOJ0nQG","kn8WO9XteQ","QxG7OkqoLX","BiWNJpBvwn","XhwjNDsVaA","k1SHOSEABc","XnXgA4xnOs","QvoQhV0rrE","W4YGzv6Whe","3sJ7IOPOlU"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4356","layer":4},{"info":"compute unary expreesion, input=4356, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1898","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=3617, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=619","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=619, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":2},{"info":"number node, value=3319","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=2572, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1626","layer":3},{"info":"compute unary expreesion, input=1626, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4774","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=4774, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-103836","layer":1},{"info":"number node, value=5857","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=5857, right_input=3196, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=8292","layer":3},{"info":"number node, value=5874","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=5874, right_input=3150, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=8292, right_input=1234, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2259","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=2179, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4438","layer":3},{"info":"number node, value=4992","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=4992, right_input=1866, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4438, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4438","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4438, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-103836, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⫎≠⋺⊺⇮4356)⪭(⊺⇮1898⨭⪣⊺⇮3617)⨽(⊽(⊺⇮3319⩍⋽⫝̸⊺⇮2572))≬⋮((⊺⇮5857⨑≵⋬⊺⇮3196)⨂≜(⊺⇮5874∠⫱⊺⇮3150)/(⊺⇮2259+⊺⇮2179+⊺⇮4992⪇≇⋚⊺⇮1866))=NaN","reverse_text":"NaN=(⫎≠⋺⊺⇮4356)⪭(⊺⇮1898⨭⪣⊺⇮3617)⨽(⊽(⊺⇮3319⩍⋽⫝̸⊺⇮2572))≬⋮((⊺⇮5857⨑≵⋬⊺⇮3196)⨂≜(⊺⇮5874∠⫱⊺⇮3150)/(⊺⇮2259+⊺⇮2179+⊺⇮4992⪇≇⋚⊺⇮1866))","cot":[{"info":"⫎≠⋺⊺⇮4356=⊺⇮0","layer":3},{"info":"⊺⇮1898⨭⪣⊺⇮3617=⊺⇮619","layer":3},{"info":"⊺⇮0⪭⊺⇮619=⊺⇮-174","layer":2},{"info":"⊺⇮3319⩍⋽⫝̸⊺⇮2572=⊺⇮1626","layer":3},{"info":"⊽⊺⇮1626=⊺⇮4774","layer":2},{"info":"⊺⇮-174⨽⊺⇮4774=⊺⇮-103836","layer":1},{"info":"⊺⇮5857⨑≵⋬⊺⇮3196=⊺⇮8292","layer":3},{"info":"⊺⇮5874∠⫱⊺⇮3150=⊺⇮1234","layer":3},{"info":"⊺⇮8292⨂≜⊺⇮1234=NaN","layer":2},{"info":"⊺⇮2259+⊺⇮2179=⊺⇮4438","layer":3},{"info":"⊺⇮4992⪇≇⋚⊺⇮1866=⊺⇮0","layer":3},{"info":"⊺⇮4438+⊺⇮0=⊺⇮4438","layer":2},{"info":"NaN/⊺⇮4438=NaN","layer":1},{"info":"⊺⇮-103836≬⋮NaN=NaN","layer":0}]}
{"id":862,"expression_no_base_symbol":"($1594$⨂≜$1201$⨻⩈⩔($2967$⨐⩸⫘$5723$)⊜)⫥∨⫟(≦∁$1027$∠⫱$2111$)≎⪠((≉$1394$)⨒(⋣$3006$))","expression":"(⊺⇮1594⨂≜⊺⇮1201⨻⩈⩔(⊺⇮2967⨐⩸⫘⊺⇮5723)⊜)⫥∨⫟(≦∁⊺⇮1027∠⫱⊺⇮2111)≎⪠((≉⊺⇮1394)⨒(⋣⊺⇮3006))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21167,"operation_count":11,"complexity_ratio":1924.2727272727273,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1594,"base":10},"right_expr":{"type":"numeric_atoms","value":1201,"base":10}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2967,"base":10},"right_expr":{"type":"numeric_atoms","value":5723,"base":10}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1027,"base":10},"right_expr":{"type":"numeric_atoms","value":2111,"base":10}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1394,"base":10}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":3006,"base":10}}}}},"used_operators":["KYD54nUTWz","Eev2Q7dYIw","nEsXyWgiOK","k1SHOSEABc","fu6greOZ01","aNhz54LH3e","9ICcGScMcE","QvoQhV0rrE","y75s1iXyHd","e1ybzncUwg","zQWRhDnn8F"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","3ViojmjbAp","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1594","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=1201, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2967","layer":4},{"info":"number node, value=5723","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=5723, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=nan","layer":1},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2111, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1234","layer":2},{"info":"number node, value=1394","layer":4},{"info":"compute unary expreesion, input=1394, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1925","layer":3},{"info":"number node, value=3006","layer":4},{"info":"compute unary expreesion, input=3006, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-883669","layer":3},{"info":"compute binary expreesion, left_input=1925, right_input=-883669, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=1, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1594⨂≜⊺⇮1201⨻⩈⩔(⊺⇮2967⨐⩸⫘⊺⇮5723)⊜)⫥∨⫟(≦∁⊺⇮1027∠⫱⊺⇮2111)≎⪠((≉⊺⇮1394)⨒(⋣⊺⇮3006))=NaN","reverse_text":"NaN=(⊺⇮1594⨂≜⊺⇮1201⨻⩈⩔(⊺⇮2967⨐⩸⫘⊺⇮5723)⊜)⫥∨⫟(≦∁⊺⇮1027∠⫱⊺⇮2111)≎⪠((≉⊺⇮1394)⨒(⋣⊺⇮3006))","cot":[{"info":"⊺⇮1594⨂≜⊺⇮1201=NaN","layer":3},{"info":"⊺⇮2967⨐⩸⫘⊺⇮5723=NaN","layer":3},{"info":"NaN⨻⩈⩔NaN=NaN","layer":2},{"info":"NaN⊜=NaN","layer":1},{"info":"⊺⇮1027∠⫱⊺⇮2111=⊺⇮1234","layer":3},{"info":"≦∁⊺⇮1234=⊺⇮1234","layer":2},{"info":"≉⊺⇮1394=⊺⇮1925","layer":3},{"info":"⋣⊺⇮3006=⊺⇮-883669","layer":3},{"info":"⊺⇮1925⨒⊺⇮-883669=⊺⇮1","layer":2},{"info":"⊺⇮1234≎⪠⊺⇮1=⊺⇮19558","layer":1},{"info":"NaN⫥∨⫟⊺⇮19558=NaN","layer":0}]}
{"id":863,"expression_no_base_symbol":"((⪡⇡≛$2274$)∛($4173$+⇶⊼$4006$)⪛($3407$⨐$2158$⊝⪿⪼($3021$*$6077$)))≝⊿(((⇾⩊⇾$1107$)⇩)⨼⩣($3066$∑⇟⊟$2160$)⋕⪉⪜$1677$⋹⋡⊁$7105$)","expression":"((⪡⇡≛⊺⇮2274)∛(⊺⇮4173+⇶⊼⊺⇮4006)⪛(⊺⇮3407⨐⊺⇮2158⊝⪿⪼(⊺⇮3021*⊺⇮6077)))≝⊿(((⇾⩊⇾⊺⇮1107)⇩)⨼⩣(⊺⇮3066∑⇟⊟⊺⇮2160)⋕⪉⪜⊺⇮1677⋹⋡⊁⊺⇮7105)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":66140,"operation_count":14,"complexity_ratio":4724.285714285715,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":2274,"base":10}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4173,"base":10},"right_expr":{"type":"numeric_atoms","value":4006,"base":10}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3407,"base":10},"right_expr":{"type":"numeric_atoms","value":2158,"base":10}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3021,"base":10},"right_expr":{"type":"numeric_atoms","value":6077,"base":10}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1107,"base":10}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3066,"base":10},"right_expr":{"type":"numeric_atoms","value":2160,"base":10}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1677,"base":10},"right_expr":{"type":"numeric_atoms","value":7105,"base":10}}}}},"used_operators":["OKKcZfAt5B","uFcxV4UQCh","w2537kitQq","qL4PrbW1Dq","TpPTUOHfaN","3Oe9XWJUTD","Noe24qw2ks","9HNa5Wba9A","JxwMv5le6e","vRio1gEz1j","bx9Z9DAK5y","z6LnFrNh4i","U7g4x0WXJJ","As8RqfVLgs"],"dependent_operators":["12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","AHs5Up7iyr","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2274","layer":4},{"info":"compute unary expreesion, input=2274, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2274","layer":3},{"info":"number node, value=4173","layer":4},{"info":"number node, value=4006","layer":4},{"info":"compute binary expreesion, left_input=4173, right_input=4006, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2274, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=3407","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=2158, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6814","layer":3},{"info":"number node, value=3021","layer":4},{"info":"number node, value=6077","layer":4},{"info":"compute binary expreesion, left_input=3021, right_input=6077, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18358617","layer":3},{"info":"compute binary expreesion, left_input=-6814, right_input=18358617, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-92278","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-92278, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-92211","layer":1},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-16449","layer":3},{"info":"compute unary expreesion, input=-16449, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-16356","layer":2},{"info":"number node, value=3066","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=2160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=7105","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=7105, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7855","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7855, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=-16356, right_input=204, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-92211, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⪡⇡≛⊺⇮2274)∛(⊺⇮4173+⇶⊼⊺⇮4006)⪛(⊺⇮3407⨐⊺⇮2158⊝⪿⪼(⊺⇮3021*⊺⇮6077)))≝⊿(((⇾⩊⇾⊺⇮1107)⇩)⨼⩣(⊺⇮3066∑⇟⊟⊺⇮2160)⋕⪉⪜⊺⇮1677⋹⋡⊁⊺⇮7105)=NaN","reverse_text":"NaN=((⪡⇡≛⊺⇮2274)∛(⊺⇮4173+⇶⊼⊺⇮4006)⪛(⊺⇮3407⨐⊺⇮2158⊝⪿⪼(⊺⇮3021*⊺⇮6077)))≝⊿(((⇾⩊⇾⊺⇮1107)⇩)⨼⩣(⊺⇮3066∑⇟⊟⊺⇮2160)⋕⪉⪜⊺⇮1677⋹⋡⊁⊺⇮7105)","cot":[{"info":"⪡⇡≛⊺⇮2274=⊺⇮-2274","layer":3},{"info":"⊺⇮4173+⇶⊼⊺⇮4006=NaN","layer":3},{"info":"⊺⇮-2274∛NaN=⊺⇮67","layer":2},{"info":"⊺⇮3407⨐⊺⇮2158=⊺⇮-6814","layer":3},{"info":"⊺⇮3021*⊺⇮6077=⊺⇮18358617","layer":3},{"info":"⊺⇮-6814⊝⪿⪼⊺⇮18358617=⊺⇮-92278","layer":2},{"info":"⊺⇮67⪛⊺⇮-92278=⊺⇮-92211","layer":1},{"info":"⇾⩊⇾⊺⇮1107=⊺⇮-16449","layer":3},{"info":"⊺⇮-16449⇩=⊺⇮-16356","layer":2},{"info":"⊺⇮3066∑⇟⊟⊺⇮2160=NaN","layer":3},{"info":"⊺⇮1677⋹⋡⊁⊺⇮7105=⊺⇮7855","layer":3},{"info":"NaN⋕⪉⪜⊺⇮7855=⊺⇮204","layer":2},{"info":"⊺⇮-16356⨼⩣⊺⇮204=NaN","layer":1},{"info":"⊺⇮-92211≝⊿NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"($1152$⪚$4758$⫸⊐$1015$↬$9454$)⪔(↘$1091$)⨚⇆($3173$⪡$5829$)≥⨤⩑($3131$⩼⇪↪$3608$⋻⩜⩜($3759$⊊)∲⫓$1783$⨼⩣$1823$⇼⇔∾$2551$≒∊$8439$)","expression":"(⊺⇮1152⪚⊺⇮4758⫸⊐⊺⇮1015↬⊺⇮9454)⪔(↘⊺⇮1091)⨚⇆(⊺⇮3173⪡⊺⇮5829)≥⨤⩑(⊺⇮3131⩼⇪↪⊺⇮3608⋻⩜⩜(⊺⇮3759⊊)∲⫓⊺⇮1783⨼⩣⊺⇮1823⇼⇔∾⊺⇮2551≒∊⊺⇮8439)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3061,"operation_count":15,"complexity_ratio":204.06666666666666,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1152,"base":10},"right_expr":{"type":"numeric_atoms","value":4758,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1015,"base":10},"right_expr":{"type":"numeric_atoms","value":9454,"base":10}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1091,"base":10}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3173,"base":10},"right_expr":{"type":"numeric_atoms","value":5829,"base":10}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3131,"base":10},"right_expr":{"type":"numeric_atoms","value":3608,"base":10}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":3759,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1783,"base":10},"right_expr":{"type":"numeric_atoms","value":1823,"base":10}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2551,"base":10},"right_expr":{"type":"numeric_atoms","value":8439,"base":10}}}}},"used_operators":["gJLn6v0xnP","GjBEYRfMaF","mqXw5SEYmG","HrjLwUk87U","B5M0gjZbta","lwHaAYXP2r","LdNpr8hQHL","oraRL2iQuh","i8ToyICDmI","oDCm7WA9JY","ocnLzx9CaJ","W9R8I5fN5A","tifHPKVTfV","JxwMv5le6e","5KTvxBwnZo"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rGHVDoGpnC","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","uFcxV4UQCh","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":4},{"info":"number node, value=4758","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4758, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-7568","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=9454","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=9454, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7568, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=307","layer":3},{"info":"number node, value=3173","layer":4},{"info":"number node, value=5829","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=5829, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=307, right_input=107, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=3131","layer":4},{"info":"number node, value=3608","layer":4},{"info":"compute binary expreesion, left_input=3131, right_input=3608, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-19777","layer":3},{"info":"number node, value=3759","layer":4},{"info":"compute unary expreesion, input=3759, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute binary expreesion, left_input=-19777, right_input=90927, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=81032","layer":2},{"info":"number node, value=1783","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=1823, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2551","layer":4},{"info":"number node, value=8439","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=8439, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2067","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2067, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=81032, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1152⪚⊺⇮4758⫸⊐⊺⇮1015↬⊺⇮9454)⪔(↘⊺⇮1091)⨚⇆(⊺⇮3173⪡⊺⇮5829)≥⨤⩑(⊺⇮3131⩼⇪↪⊺⇮3608⋻⩜⩜(⊺⇮3759⊊)∲⫓⊺⇮1783⨼⩣⊺⇮1823⇼⇔∾⊺⇮2551≒∊⊺⇮8439)=⊺⇮1234","reverse_text":"⊺⇮1234=(⊺⇮1152⪚⊺⇮4758⫸⊐⊺⇮1015↬⊺⇮9454)⪔(↘⊺⇮1091)⨚⇆(⊺⇮3173⪡⊺⇮5829)≥⨤⩑(⊺⇮3131⩼⇪↪⊺⇮3608⋻⩜⩜(⊺⇮3759⊊)∲⫓⊺⇮1783⨼⩣⊺⇮1823⇼⇔∾⊺⇮2551≒∊⊺⇮8439)","cot":[{"info":"⊺⇮1152⪚⊺⇮4758=⊺⇮-7568","layer":3},{"info":"⊺⇮1015↬⊺⇮9454=NaN","layer":3},{"info":"⊺⇮-7568⫸⊐NaN=⊺⇮968","layer":2},{"info":"↘⊺⇮1091=⊺⇮307","layer":3},{"info":"⊺⇮3173⪡⊺⇮5829=⊺⇮107","layer":3},{"info":"⊺⇮307⨚⇆⊺⇮107=NaN","layer":2},{"info":"⊺⇮968⪔NaN=NaN","layer":1},{"info":"⊺⇮3131⩼⇪↪⊺⇮3608=⊺⇮-19777","layer":3},{"info":"⊺⇮3759⊊=⊺⇮90927","layer":3},{"info":"⊺⇮-19777⋻⩜⩜⊺⇮90927=⊺⇮81032","layer":2},{"info":"⊺⇮1783⨼⩣⊺⇮1823=NaN","layer":3},{"info":"⊺⇮2551≒∊⊺⇮8439=⊺⇮-2067","layer":3},{"info":"NaN⇼⇔∾⊺⇮-2067=NaN","layer":2},{"info":"⊺⇮81032∲⫓NaN=NaN","layer":1},{"info":"NaN≥⨤⩑NaN=⊺⇮1234","layer":0}]}
{"id":865,"expression_no_base_symbol":"(((≛$3428$)⋹⋡⊁($1927$⫌⩉⩟$6394$))⪬((⨆≐≲$1570$)↛⩡⫤))⇡⇂(∂⩏⊆($1935$⩘$3591$)≁↽≥($2444$⇮⋭$2056$))","expression":"(((≛⊺⇮3428)⋹⋡⊁(⊺⇮1927⫌⩉⩟⊺⇮6394))⪬((⨆≐≲⊺⇮1570)↛⩡⫤))⇡⇂(∂⩏⊆(⊺⇮1935⩘⊺⇮3591)≁↽≥(⊺⇮2444⇮⋭⊺⇮2056))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":41881,"operation_count":11,"complexity_ratio":3807.3636363636365,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":3428,"base":10}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1927,"base":10},"right_expr":{"type":"numeric_atoms","value":6394,"base":10}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1570,"base":10}}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1935,"base":10},"right_expr":{"type":"numeric_atoms","value":3591,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2444,"base":10},"right_expr":{"type":"numeric_atoms","value":2056,"base":10}}}}},"used_operators":["UMwdvZNt44","Ez1Nq5fNfI","As8RqfVLgs","W7eaUhjymW","XIIwhv8d0m","FU0Cs4j7VP","Bi9z9uYZqW","8WDwsbhb0R","ncHt1X6cMc","cHh1gJQ2o6","vkpjKywKVM"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","14qkJME0vr","eLAdDNolq6","oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3428","layer":4},{"info":"compute unary expreesion, input=3428, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=1927","layer":4},{"info":"number node, value=6394","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=6394, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=-50, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-102","layer":2},{"info":"number node, value=1570","layer":4},{"info":"compute unary expreesion, input=1570, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=16848600","layer":3},{"info":"compute unary expreesion, input=16848600, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-102, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1935","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=3591, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2444","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=2056, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-473, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute unary expreesion, input=196, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-667","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-667, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((≛⊺⇮3428)⋹⋡⊁(⊺⇮1927⫌⩉⩟⊺⇮6394))⪬((⨆≐≲⊺⇮1570)↛⩡⫤))⇡⇂(∂⩏⊆(⊺⇮1935⩘⊺⇮3591)≁↽≥(⊺⇮2444⇮⋭⊺⇮2056))=NaN","reverse_text":"NaN=(((≛⊺⇮3428)⋹⋡⊁(⊺⇮1927⫌⩉⩟⊺⇮6394))⪬((⨆≐≲⊺⇮1570)↛⩡⫤))⇡⇂(∂⩏⊆(⊺⇮1935⩘⊺⇮3591)≁↽≥(⊺⇮2444⇮⋭⊺⇮2056))","cot":[{"info":"≛⊺⇮3428=⊺⇮-10","layer":3},{"info":"⊺⇮1927⫌⩉⩟⊺⇮6394=⊺⇮-50","layer":3},{"info":"⊺⇮-10⋹⋡⊁⊺⇮-50=⊺⇮-102","layer":2},{"info":"⨆≐≲⊺⇮1570=⊺⇮16848600","layer":3},{"info":"⊺⇮16848600↛⩡⫤=NaN","layer":2},{"info":"⊺⇮-102⪬NaN=⊺⇮1234","layer":1},{"info":"⊺⇮1935⩘⊺⇮3591=⊺⇮160","layer":3},{"info":"⊺⇮2444⇮⋭⊺⇮2056=⊺⇮-473","layer":3},{"info":"⊺⇮160≁↽≥⊺⇮-473=⊺⇮196","layer":2},{"info":"∂⩏⊆⊺⇮196=⊺⇮-667","layer":1},{"info":"⊺⇮1234⇡⇂⊺⇮-667=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"(≸≮((≋$4027$)⫔⩽⩺$3393$∴$3548$))⇌⫙⪟(↑(↣≠⋷(⊿$8383$)))","expression":"(≸≮((≋⊺⇮4027)⫔⩽⩺⊺⇮3393∴⊺⇮3548))⇌⫙⪟(↑(↣≠⋷(⊿⊺⇮8383)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":151,"operation_count":8,"complexity_ratio":18.875,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":4027,"base":10}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3393,"base":10},"right_expr":{"type":"numeric_atoms","value":3548,"base":10}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":8383,"base":10}}}}},"used_operators":["AFVx7xoS7T","AljMvE3RRm","i9eR4S00cU","61wBmkZwlr","hrf7POJlIJ","tR7O2zTn5j","Asc51vEJeQ","DO4fhlbJSI"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","Tw270M8GLb","fu6greOZ01","7j4O788W3g","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4027","layer":4},{"info":"compute unary expreesion, input=4027, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=4027","layer":3},{"info":"number node, value=3393","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=3548, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8434","layer":3},{"info":"compute binary expreesion, left_input=4027, right_input=8434, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":1},{"info":"number node, value=8383","layer":4},{"info":"compute unary expreesion, input=8383, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-34270","layer":3},{"info":"compute unary expreesion, input=-34270, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≸≮((≋⊺⇮4027)⫔⩽⩺⊺⇮3393∴⊺⇮3548))⇌⫙⪟(↑(↣≠⋷(⊿⊺⇮8383)))=NaN","reverse_text":"NaN=(≸≮((≋⊺⇮4027)⫔⩽⩺⊺⇮3393∴⊺⇮3548))⇌⫙⪟(↑(↣≠⋷(⊿⊺⇮8383)))","cot":[{"info":"≋⊺⇮4027=⊺⇮4027","layer":3},{"info":"⊺⇮3393∴⊺⇮3548=⊺⇮8434","layer":3},{"info":"⊺⇮4027⫔⩽⩺⊺⇮8434=NaN","layer":2},{"info":"≸≮NaN=NaN","layer":1},{"info":"⊿⊺⇮8383=⊺⇮-34270","layer":3},{"info":"↣≠⋷⊺⇮-34270=NaN","layer":2},{"info":"↑NaN=NaN","layer":1},{"info":"NaN⇌⫙⪟NaN=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"(↨(-$1130$⫁⪎$1126$))⪷","expression":"(↨(-⊺⇮1130⫁⪎⊺⇮1126))⪷","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":692,"operation_count":4,"complexity_ratio":173.0,"tree":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1130,"base":10},"right_expr":{"type":"numeric_atoms","value":1126,"base":10}}}}},"used_operators":["Qctrpi3WzA","jiX4gk2v2Q","t8gj7n24qd","xRrnTEsQ6j"],"dependent_operators":["Nsiff2A1zJ","rGHVDoGpnC","oZj3VtZNQx","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⊺⇮-79","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1126, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4","layer":3},{"info":"compute unary expreesion, input=4, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4","layer":2},{"info":"compute unary expreesion, input=-4, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=-79","layer":0}],"base":10,"result_base":10,"text":"(↨(-⊺⇮1130⫁⪎⊺⇮1126))⪷=⊺⇮-79","reverse_text":"⊺⇮-79=(↨(-⊺⇮1130⫁⪎⊺⇮1126))⪷","cot":[{"info":"⊺⇮1130⫁⪎⊺⇮1126=⊺⇮4","layer":3},{"info":"-⊺⇮4=⊺⇮-4","layer":2},{"info":"↨⊺⇮-4=⊺⇮0","layer":1},{"info":"⊺⇮0⪷=⊺⇮-79","layer":0}]}
{"id":868,"expression_no_base_symbol":"(($1114$⪄$2558$)∌($4975$⋥≓≎$2152$))∴(($5146$⪬$3843$)⊀⩕)∇⊂⋱(↞≼(($1360$⫦⪉$3169$)⇴∐$1643$∣$5836$))","expression":"((⊺⇮1114⪄⊺⇮2558)∌(⊺⇮4975⋥≓≎⊺⇮2152))∴((⊺⇮5146⪬⊺⇮3843)⊀⩕)∇⊂⋱(↞≼((⊺⇮1360⫦⪉⊺⇮3169)⇴∐⊺⇮1643∣⊺⇮5836))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2009,"operation_count":11,"complexity_ratio":182.63636363636363,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1114,"base":10},"right_expr":{"type":"numeric_atoms","value":2558,"base":10}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4975,"base":10},"right_expr":{"type":"numeric_atoms","value":2152,"base":10}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5146,"base":10},"right_expr":{"type":"numeric_atoms","value":3843,"base":10}}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1360,"base":10},"right_expr":{"type":"numeric_atoms","value":3169,"base":10}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1643,"base":10},"right_expr":{"type":"numeric_atoms","value":5836,"base":10}}}}},"used_operators":["nhYeJWJD5X","hrf7POJlIJ","8cLx32lpNA","SUmda5xLS4","Qy55tPpLXF","r0FS3hW4cC","Ez1Nq5fNfI","DE7zCoGJt9","HnzytWxmAO","wscyQdcy20","PPChnnnBFF"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","nhYeJWJD5X","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1114","layer":4},{"info":"number node, value=2558","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=2558, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-171193","layer":3},{"info":"number node, value=4975","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=4975, right_input=2152, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-638","layer":3},{"info":"compute binary expreesion, left_input=-171193, right_input=-638, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-171193","layer":2},{"info":"number node, value=5146","layer":4},{"info":"number node, value=3843","layer":4},{"info":"compute binary expreesion, left_input=5146, right_input=3843, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-171193, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-340738","layer":1},{"info":"number node, value=1360","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=3169, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2180","layer":3},{"info":"number node, value=1643","layer":4},{"info":"number node, value=5836","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=5836, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1643","layer":3},{"info":"compute binary expreesion, left_input=2180, right_input=1643, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-340738, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1114⪄⊺⇮2558)∌(⊺⇮4975⋥≓≎⊺⇮2152))∴((⊺⇮5146⪬⊺⇮3843)⊀⩕)∇⊂⋱(↞≼((⊺⇮1360⫦⪉⊺⇮3169)⇴∐⊺⇮1643∣⊺⇮5836))=NaN","reverse_text":"NaN=((⊺⇮1114⪄⊺⇮2558)∌(⊺⇮4975⋥≓≎⊺⇮2152))∴((⊺⇮5146⪬⊺⇮3843)⊀⩕)∇⊂⋱(↞≼((⊺⇮1360⫦⪉⊺⇮3169)⇴∐⊺⇮1643∣⊺⇮5836))","cot":[{"info":"⊺⇮1114⪄⊺⇮2558=⊺⇮-171193","layer":3},{"info":"⊺⇮4975⋥≓≎⊺⇮2152=⊺⇮-638","layer":3},{"info":"⊺⇮-171193∌⊺⇮-638=⊺⇮-171193","layer":2},{"info":"⊺⇮5146⪬⊺⇮3843=⊺⇮1234","layer":3},{"info":"⊺⇮1234⊀⩕=⊺⇮0","layer":2},{"info":"⊺⇮-171193∴⊺⇮0=⊺⇮-340738","layer":1},{"info":"⊺⇮1360⫦⪉⊺⇮3169=⊺⇮2180","layer":3},{"info":"⊺⇮1643∣⊺⇮5836=⊺⇮1643","layer":3},{"info":"⊺⇮2180⇴∐⊺⇮1643=NaN","layer":2},{"info":"↞≼NaN=NaN","layer":1},{"info":"⊺⇮-340738∇⊂⋱NaN=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"($1378$∌↝$6585$⨭⪣$2327$⇍⊗$1856$)⩧⪆(⩰($1012$↦))⪄(≱⇩⩕($1858$↞⋁$3300$↱$3471$⊲⩕⊾$2913$))","expression":"(⊺⇮1378∌↝⊺⇮6585⨭⪣⊺⇮2327⇍⊗⊺⇮1856)⩧⪆(⩰(⊺⇮1012↦))⪄(≱⇩⩕(⊺⇮1858↞⋁⊺⇮3300↱⊺⇮3471⊲⩕⊾⊺⇮2913))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":224278,"operation_count":11,"complexity_ratio":20388.909090909092,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1378,"base":10},"right_expr":{"type":"numeric_atoms","value":6585,"base":10}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2327,"base":10},"right_expr":{"type":"numeric_atoms","value":1856,"base":10}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1012,"base":10}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1858,"base":10},"right_expr":{"type":"numeric_atoms","value":3300,"base":10}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3471,"base":10},"right_expr":{"type":"numeric_atoms","value":2913,"base":10}}}}},"used_operators":["SUmda5xLS4","Ikt5ks8PT7","kn8WO9XteQ","9Isq31Ruls","5uvYHDjeKN","WkeUrDK8WX","fFznvYxMfW","3DZMoQKiUl","SR5kFfdi6N","RqrPlJkxDo","DmTXOeWf9t"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eewbuw0ToL","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":4},{"info":"number node, value=6585","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=6585, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=1856, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-244, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":2},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-322, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=1858","layer":4},{"info":"number node, value=3300","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=3300, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3471","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=2913, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-81296","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-81296, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-635056","layer":2},{"info":"compute unary expreesion, input=-635056, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=4446002","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4446002, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1378∌↝⊺⇮6585⨭⪣⊺⇮2327⇍⊗⊺⇮1856)⩧⪆(⩰(⊺⇮1012↦))⪄(≱⇩⩕(⊺⇮1858↞⋁⊺⇮3300↱⊺⇮3471⊲⩕⊾⊺⇮2913))=⊺⇮3979","reverse_text":"⊺⇮3979=(⊺⇮1378∌↝⊺⇮6585⨭⪣⊺⇮2327⇍⊗⊺⇮1856)⩧⪆(⩰(⊺⇮1012↦))⪄(≱⇩⩕(⊺⇮1858↞⋁⊺⇮3300↱⊺⇮3471⊲⩕⊾⊺⇮2913))","cot":[{"info":"⊺⇮1378∌↝⊺⇮6585=⊺⇮0","layer":3},{"info":"⊺⇮2327⇍⊗⊺⇮1856=⊺⇮-244","layer":3},{"info":"⊺⇮0⨭⪣⊺⇮-244=⊺⇮-322","layer":2},{"info":"⊺⇮1012↦=NaN","layer":3},{"info":"⩰NaN=NaN","layer":2},{"info":"⊺⇮-322⩧⪆NaN=NaN","layer":1},{"info":"⊺⇮1858↞⋁⊺⇮3300=NaN","layer":3},{"info":"⊺⇮3471⊲⩕⊾⊺⇮2913=⊺⇮-81296","layer":3},{"info":"NaN↱⊺⇮-81296=⊺⇮-635056","layer":2},{"info":"≱⇩⩕⊺⇮-635056=⊺⇮4446002","layer":1},{"info":"NaN⪄⊺⇮4446002=⊺⇮3979","layer":0}]}
{"id":870,"expression_no_base_symbol":"⨆≐≲((≀↧⇸(⨣⨃⇪$4723$))⋣⋖((↥$3511$)⩹($6757$⋷$3451$)))","expression":"⨆≐≲((≀↧⇸(⨣⨃⇪⊺⇮4723))⋣⋖((↥⊺⇮3511)⩹(⊺⇮6757⋷⊺⇮3451)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":220,"operation_count":7,"complexity_ratio":31.428571428571427,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":4723,"base":10}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3511,"base":10}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6757,"base":10},"right_expr":{"type":"numeric_atoms","value":3451,"base":10}}}}},"used_operators":["Bi9z9uYZqW","J0M6qkBnIM","ljTHtUsqzn","AcOhelriW5","2Wsdkap16l","A8NUZmVepG","23Mk6UjR3U"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","XPYlsWDdGa","23Mk6UjR3U","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮30419160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4723","layer":4},{"info":"compute unary expreesion, input=4723, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2810","layer":2},{"info":"number node, value=3511","layer":4},{"info":"compute unary expreesion, input=3511, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":3},{"info":"number node, value=6757","layer":4},{"info":"number node, value=3451","layer":4},{"info":"compute binary expreesion, left_input=6757, right_input=3451, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=145","layer":3},{"info":"compute binary expreesion, left_input=43, right_input=145, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=143","layer":2},{"info":"compute binary expreesion, left_input=2810, right_input=143, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2810","layer":1},{"info":"compute unary expreesion, input=2810, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=30419160","layer":0}],"base":10,"result_base":10,"text":"⨆≐≲((≀↧⇸(⨣⨃⇪⊺⇮4723))⋣⋖((↥⊺⇮3511)⩹(⊺⇮6757⋷⊺⇮3451)))=⊺⇮30419160","reverse_text":"⊺⇮30419160=⨆≐≲((≀↧⇸(⨣⨃⇪⊺⇮4723))⋣⋖((↥⊺⇮3511)⩹(⊺⇮6757⋷⊺⇮3451)))","cot":[{"info":"⨣⨃⇪⊺⇮4723=⊺⇮1405","layer":3},{"info":"≀↧⇸⊺⇮1405=⊺⇮2810","layer":2},{"info":"↥⊺⇮3511=⊺⇮43","layer":3},{"info":"⊺⇮6757⋷⊺⇮3451=⊺⇮145","layer":3},{"info":"⊺⇮43⩹⊺⇮145=⊺⇮143","layer":2},{"info":"⊺⇮2810⋣⋖⊺⇮143=⊺⇮2810","layer":1},{"info":"⨆≐≲⊺⇮2810=⊺⇮30419160","layer":0}]}
{"id":871,"expression_no_base_symbol":"(⊽($1313$⨎$2407$≬⇓($8363$⪁$4369$)))⩵∡(($4152$⊴$8545$)∊∟⩊($1459$⊭↱$1653$)⨒(⊀$2123$)⫲≸⪮$5341$⫘$2577$)","expression":"(⊽(⊺⇮1313⨎⊺⇮2407≬⇓(⊺⇮8363⪁⊺⇮4369)))⩵∡((⊺⇮4152⊴⊺⇮8545)∊∟⩊(⊺⇮1459⊭↱⊺⇮1653)⨒(⊀⊺⇮2123)⫲≸⪮⊺⇮5341⫘⊺⇮2577)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":298317576,"operation_count":12,"complexity_ratio":24859798.0,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1313,"base":10},"right_expr":{"type":"numeric_atoms","value":2407,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":8363,"base":10},"right_expr":{"type":"numeric_atoms","value":4369,"base":10}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4152,"base":10},"right_expr":{"type":"numeric_atoms","value":8545,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1459,"base":10},"right_expr":{"type":"numeric_atoms","value":1653,"base":10}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2123,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5341,"base":10},"right_expr":{"type":"numeric_atoms","value":2577,"base":10}}}}},"used_operators":["Y7wcNGrDQJ","QxG7OkqoLX","jWTQ2TZYIH","rJVOvQCfKK","I7sXao9hZE","y75s1iXyHd","ddLRYrp01A","Nsiff2A1zJ","COABgblf1C","P3lXMJvFrc","oPMjh9089D","48vC8HMD2b"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"⊺⇮-2107","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1313","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=2407, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2407","layer":3},{"info":"number node, value=8363","layer":4},{"info":"number node, value=4369","layer":4},{"info":"compute binary expreesion, left_input=8363, right_input=4369, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2407, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-2980","layer":2},{"info":"compute unary expreesion, input=-2980, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":1},{"info":"number node, value=4152","layer":4},{"info":"number node, value=8545","layer":4},{"info":"compute binary expreesion, left_input=4152, right_input=8545, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1459","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=1459, right_input=1653, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=393","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=393, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=393","layer":2},{"info":"number node, value=2123","layer":4},{"info":"compute unary expreesion, input=2123, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8230","layer":3},{"info":"number node, value=5341","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=5341, right_input=2577, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6285421","layer":3},{"info":"compute binary expreesion, left_input=8230, right_input=6285421, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8230","layer":2},{"info":"compute binary expreesion, left_input=393, right_input=8230, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-1986","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1986, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2107","layer":0}],"base":10,"result_base":10,"text":"(⊽(⊺⇮1313⨎⊺⇮2407≬⇓(⊺⇮8363⪁⊺⇮4369)))⩵∡((⊺⇮4152⊴⊺⇮8545)∊∟⩊(⊺⇮1459⊭↱⊺⇮1653)⨒(⊀⊺⇮2123)⫲≸⪮⊺⇮5341⫘⊺⇮2577)=⊺⇮-2107","reverse_text":"⊺⇮-2107=(⊽(⊺⇮1313⨎⊺⇮2407≬⇓(⊺⇮8363⪁⊺⇮4369)))⩵∡((⊺⇮4152⊴⊺⇮8545)∊∟⩊(⊺⇮1459⊭↱⊺⇮1653)⨒(⊀⊺⇮2123)⫲≸⪮⊺⇮5341⫘⊺⇮2577)","cot":[{"info":"⊺⇮1313⨎⊺⇮2407=⊺⇮2407","layer":3},{"info":"⊺⇮8363⪁⊺⇮4369=NaN","layer":3},{"info":"⊺⇮2407≬⇓NaN=⊺⇮-2980","layer":2},{"info":"⊽⊺⇮-2980=⊺⇮0","layer":1},{"info":"⊺⇮4152⊴⊺⇮8545=NaN","layer":3},{"info":"⊺⇮1459⊭↱⊺⇮1653=⊺⇮393","layer":3},{"info":"NaN∊∟⩊⊺⇮393=⊺⇮393","layer":2},{"info":"⊀⊺⇮2123=⊺⇮8230","layer":3},{"info":"⊺⇮5341⫘⊺⇮2577=⊺⇮6285421","layer":3},{"info":"⊺⇮8230⫲≸⪮⊺⇮6285421=⊺⇮8230","layer":2},{"info":"⊺⇮393⨒⊺⇮8230=⊺⇮-1986","layer":1},{"info":"⊺⇮0⩵∡⊺⇮-1986=⊺⇮-2107","layer":0}]}
{"id":872,"expression_no_base_symbol":"(⨙⪌($1295$+⪬∐$3558$+⇶⊼$2116$⩁⩘$1479$))⩌⋺(($1111$⫃⨇$1053$)≝⊿($3199$⪡$1028$)⊔(⇉-⫰($6498$≭$1160$)))","expression":"(⨙⪌(⊺⇮1295+⪬∐⊺⇮3558+⇶⊼⊺⇮2116⩁⩘⊺⇮1479))⩌⋺((⊺⇮1111⫃⨇⊺⇮1053)≝⊿(⊺⇮3199⪡⊺⇮1028)⊔(⇉-⫰(⊺⇮6498≭⊺⇮1160)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":134,"operation_count":11,"complexity_ratio":12.181818181818182,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1295,"base":10},"right_expr":{"type":"numeric_atoms","value":3558,"base":10}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2116,"base":10},"right_expr":{"type":"numeric_atoms","value":1479,"base":10}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1111,"base":10},"right_expr":{"type":"numeric_atoms","value":1053,"base":10}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3199,"base":10},"right_expr":{"type":"numeric_atoms","value":1028,"base":10}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6498,"base":10},"right_expr":{"type":"numeric_atoms","value":1160,"base":10}}}}},"used_operators":["g7Hmc5v1ko","vEGLkm4Z2k","TpPTUOHfaN","2GS7woTJqF","gub5Cegaqo","E4l6HwMY31","OKKcZfAt5B","09Ly4LVMIf","oraRL2iQuh","IGFM8TAlm9","rxpJgHHUmx"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","AHs5Up7iyr","g55IO6H4Gj","D4vGDi5EA2","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","12rbrZMWeM","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eH2TOUuTDT","eewbuw0ToL","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1295","layer":4},{"info":"number node, value=3558","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=3558, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3885","layer":3},{"info":"number node, value=2116","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=1479, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6864","layer":3},{"info":"compute binary expreesion, left_input=-3885, right_input=6864, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":1},{"info":"number node, value=1111","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=1053, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4244","layer":3},{"info":"number node, value=3199","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=3199, right_input=1028, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-4244, right_input=107, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=3497","layer":2},{"info":"number node, value=6498","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=6498, right_input=1160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3497, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨙⪌(⊺⇮1295+⪬∐⊺⇮3558+⇶⊼⊺⇮2116⩁⩘⊺⇮1479))⩌⋺((⊺⇮1111⫃⨇⊺⇮1053)≝⊿(⊺⇮3199⪡⊺⇮1028)⊔(⇉-⫰(⊺⇮6498≭⊺⇮1160)))=NaN","reverse_text":"NaN=(⨙⪌(⊺⇮1295+⪬∐⊺⇮3558+⇶⊼⊺⇮2116⩁⩘⊺⇮1479))⩌⋺((⊺⇮1111⫃⨇⊺⇮1053)≝⊿(⊺⇮3199⪡⊺⇮1028)⊔(⇉-⫰(⊺⇮6498≭⊺⇮1160)))","cot":[{"info":"⊺⇮1295+⪬∐⊺⇮3558=⊺⇮-3885","layer":3},{"info":"⊺⇮2116⩁⩘⊺⇮1479=⊺⇮6864","layer":3},{"info":"⊺⇮-3885+⇶⊼⊺⇮6864=NaN","layer":2},{"info":"⨙⪌NaN=NaN","layer":1},{"info":"⊺⇮1111⫃⨇⊺⇮1053=⊺⇮-4244","layer":3},{"info":"⊺⇮3199⪡⊺⇮1028=⊺⇮107","layer":3},{"info":"⊺⇮-4244≝⊿⊺⇮107=⊺⇮3497","layer":2},{"info":"⊺⇮6498≭⊺⇮1160=NaN","layer":3},{"info":"⇉-⫰NaN=NaN","layer":2},{"info":"⊺⇮3497⊔NaN=NaN","layer":1},{"info":"NaN⩌⋺NaN=NaN","layer":0}]}
{"id":873,"expression_no_base_symbol":"∨∊⋏((⊁⨺($3724$⫡⨏$4648$))⊾⪯⋞($1705$⫰⋱$1124$↸$1387$⨰$5389$))","expression":"∨∊⋏((⊁⨺(⊺⇮3724⫡⨏⊺⇮4648))⊾⪯⋞(⊺⇮1705⫰⋱⊺⇮1124↸⊺⇮1387⨰⊺⇮5389))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1844,"operation_count":7,"complexity_ratio":263.42857142857144,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3724,"base":10},"right_expr":{"type":"numeric_atoms","value":4648,"base":10}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1705,"base":10},"right_expr":{"type":"numeric_atoms","value":1124,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1387,"base":10},"right_expr":{"type":"numeric_atoms","value":5389,"base":10}}}}},"used_operators":["R5aXW34M0v","HK0tfVPux8","PxiHyQbrIp","QMFrweE19q","1eCjFl0mb9","6o9Blt3TJ6","eewbuw0ToL"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮-33449","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3724","layer":4},{"info":"number node, value=4648","layer":4},{"info":"compute binary expreesion, left_input=3724, right_input=4648, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28699","layer":3},{"info":"compute unary expreesion, input=28699, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"number node, value=1705","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=1124, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1672","layer":3},{"info":"number node, value=1387","layer":4},{"info":"number node, value=5389","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=5389, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3992","layer":3},{"info":"compute binary expreesion, left_input=-1672, right_input=-3992, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-1672","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1672, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":1},{"info":"compute unary expreesion, input=-820, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-33449","layer":0}],"base":10,"result_base":10,"text":"∨∊⋏((⊁⨺(⊺⇮3724⫡⨏⊺⇮4648))⊾⪯⋞(⊺⇮1705⫰⋱⊺⇮1124↸⊺⇮1387⨰⊺⇮5389))=⊺⇮-33449","reverse_text":"⊺⇮-33449=∨∊⋏((⊁⨺(⊺⇮3724⫡⨏⊺⇮4648))⊾⪯⋞(⊺⇮1705⫰⋱⊺⇮1124↸⊺⇮1387⨰⊺⇮5389))","cot":[{"info":"⊺⇮3724⫡⨏⊺⇮4648=⊺⇮28699","layer":3},{"info":"⊁⨺⊺⇮28699=⊺⇮160","layer":2},{"info":"⊺⇮1705⫰⋱⊺⇮1124=⊺⇮-1672","layer":3},{"info":"⊺⇮1387⨰⊺⇮5389=⊺⇮-3992","layer":3},{"info":"⊺⇮-1672↸⊺⇮-3992=⊺⇮-1672","layer":2},{"info":"⊺⇮160⊾⪯⋞⊺⇮-1672=⊺⇮-820","layer":1},{"info":"∨∊⋏⊺⇮-820=⊺⇮-33449","layer":0}]}
{"id":874,"expression_no_base_symbol":"($1192$⩦$2859$⫁⪎(↪⫪⫘$4897$))⊮⊟↴(($4881$⪭≯$2272$)≹⇙⪍$4044$⇂≾⫗$3107$)↓((↑($3090$∛$2762$))⪨≂$1151$≠≀$1308$+⇶⊼($3057$⪬∳))","expression":"(⊺⇮1192⩦⊺⇮2859⫁⪎(↪⫪⫘⊺⇮4897))⊮⊟↴((⊺⇮4881⪭≯⊺⇮2272)≹⇙⪍⊺⇮4044⇂≾⫗⊺⇮3107)↓((↑(⊺⇮3090∛⊺⇮2762))⪨≂⊺⇮1151≠≀⊺⇮1308+⇶⊼(⊺⇮3057⪬∳))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":467267,"operation_count":14,"complexity_ratio":33376.21428571428,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1192,"base":10},"right_expr":{"type":"numeric_atoms","value":2859,"base":10}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":4897,"base":10}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4881,"base":10},"right_expr":{"type":"numeric_atoms","value":2272,"base":10}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4044,"base":10},"right_expr":{"type":"numeric_atoms","value":3107,"base":10}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3090,"base":10},"right_expr":{"type":"numeric_atoms","value":2762,"base":10}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1151,"base":10},"right_expr":{"type":"numeric_atoms","value":1308,"base":10}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":3057,"base":10}}}}},"used_operators":["Af076pWI7l","QDVgd2eftb","xRrnTEsQ6j","0kmYd0q39Y","9dWsAM3GFt","AHs5Up7iyr","XAx5wpdLa6","aBQ6xLxuTc","sdazOOVcIp","tR7O2zTn5j","w2537kitQq","TpPTUOHfaN","IwW236VD4Y","O9U3z1385E"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","dWAJyo7jo9","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","AHs5Up7iyr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1192","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=2859, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2384","layer":3},{"info":"number node, value=4897","layer":4},{"info":"compute unary expreesion, input=4897, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=2384, right_input=20, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2364","layer":2},{"info":"number node, value=4881","layer":4},{"info":"number node, value=2272","layer":4},{"info":"compute binary expreesion, left_input=4881, right_input=2272, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=4044","layer":4},{"info":"number node, value=3107","layer":4},{"info":"compute binary expreesion, left_input=4044, right_input=3107, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2364, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"number node, value=3090","layer":4},{"info":"number node, value=2762","layer":4},{"info":"compute binary expreesion, left_input=3090, right_input=2762, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1308, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1996","layer":3},{"info":"number node, value=3057","layer":4},{"info":"compute unary expreesion, input=3057, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=-1996, right_input=-709, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1192⩦⊺⇮2859⫁⪎(↪⫪⫘⊺⇮4897))⊮⊟↴((⊺⇮4881⪭≯⊺⇮2272)≹⇙⪍⊺⇮4044⇂≾⫗⊺⇮3107)↓((↑(⊺⇮3090∛⊺⇮2762))⪨≂⊺⇮1151≠≀⊺⇮1308+⇶⊼(⊺⇮3057⪬∳))=⊺⇮-134","reverse_text":"⊺⇮-134=(⊺⇮1192⩦⊺⇮2859⫁⪎(↪⫪⫘⊺⇮4897))⊮⊟↴((⊺⇮4881⪭≯⊺⇮2272)≹⇙⪍⊺⇮4044⇂≾⫗⊺⇮3107)↓((↑(⊺⇮3090∛⊺⇮2762))⪨≂⊺⇮1151≠≀⊺⇮1308+⇶⊼(⊺⇮3057⪬∳))","cot":[{"info":"⊺⇮1192⩦⊺⇮2859=⊺⇮2384","layer":3},{"info":"↪⫪⫘⊺⇮4897=⊺⇮20","layer":3},{"info":"⊺⇮2384⫁⪎⊺⇮20=⊺⇮2364","layer":2},{"info":"⊺⇮4881⪭≯⊺⇮2272=NaN","layer":3},{"info":"⊺⇮4044⇂≾⫗⊺⇮3107=⊺⇮-676","layer":3},{"info":"NaN≹⇙⪍⊺⇮-676=NaN","layer":2},{"info":"⊺⇮2364⊮⊟↴NaN=NaN","layer":1},{"info":"⊺⇮3090∛⊺⇮2762=⊺⇮-670","layer":3},{"info":"↑⊺⇮-670=⊺⇮192","layer":2},{"info":"⊺⇮1151≠≀⊺⇮1308=⊺⇮-1996","layer":3},{"info":"⊺⇮3057⪬∳=⊺⇮-709","layer":3},{"info":"⊺⇮-1996+⇶⊼⊺⇮-709=NaN","layer":2},{"info":"⊺⇮192⪨≂NaN=NaN","layer":1},{"info":"NaN↓NaN=⊺⇮-134","layer":0}]}
{"id":875,"expression_no_base_symbol":"(($1295$⪭≯$1797$)⊝⪿⪼($5351$⨵⪆$1231$)⊉≛↸($2474$*$2098$)⋾⨃∁($3160$⨹))⩵∡(⋼∭⪍($8644$⨫⇇↔$1497$)⨸($2463$⫢⨠$2282$))","expression":"((⊺⇮1295⪭≯⊺⇮1797)⊝⪿⪼(⊺⇮5351⨵⪆⊺⇮1231)⊉≛↸(⊺⇮2474*⊺⇮2098)⋾⨃∁(⊺⇮3160⨹))⩵∡(⋼∭⪍(⊺⇮8644⨫⇇↔⊺⇮1497)⨸(⊺⇮2463⫢⨠⊺⇮2282))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12597,"operation_count":12,"complexity_ratio":1049.75,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1295,"base":10},"right_expr":{"type":"numeric_atoms","value":1797,"base":10}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5351,"base":10},"right_expr":{"type":"numeric_atoms","value":1231,"base":10}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2474,"base":10},"right_expr":{"type":"numeric_atoms","value":2098,"base":10}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":3160,"base":10}}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":8644,"base":10},"right_expr":{"type":"numeric_atoms","value":1497,"base":10}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2463,"base":10},"right_expr":{"type":"numeric_atoms","value":2282,"base":10}}}}},"used_operators":["Y7wcNGrDQJ","DZ8iAZOCBD","3Oe9XWJUTD","XAx5wpdLa6","2DQ55sFlQl","212REbPD9h","9HNa5Wba9A","UnCoSGIALn","DbCuESL50I","KmoU8R5UQR","LXhwmt4mBO","xlXykHWxX1"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","mp7IySMOzn","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1295","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=1797, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=5351","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=5351, right_input=1231, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"number node, value=2474","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=2474, right_input=2098, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5190452","layer":3},{"info":"number node, value=3160","layer":4},{"info":"compute unary expreesion, input=3160, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=6320","layer":3},{"info":"compute binary expreesion, left_input=5190452, right_input=6320, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=399348066","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=399348066, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=8644","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=8644, right_input=1497, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2463","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=2282, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=160, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1054","layer":2},{"info":"compute unary expreesion, input=1054, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-2476","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2476, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1295⪭≯⊺⇮1797)⊝⪿⪼(⊺⇮5351⨵⪆⊺⇮1231)⊉≛↸(⊺⇮2474*⊺⇮2098)⋾⨃∁(⊺⇮3160⨹))⩵∡(⋼∭⪍(⊺⇮8644⨫⇇↔⊺⇮1497)⨸(⊺⇮2463⫢⨠⊺⇮2282))=NaN","reverse_text":"NaN=((⊺⇮1295⪭≯⊺⇮1797)⊝⪿⪼(⊺⇮5351⨵⪆⊺⇮1231)⊉≛↸(⊺⇮2474*⊺⇮2098)⋾⨃∁(⊺⇮3160⨹))⩵∡(⋼∭⪍(⊺⇮8644⨫⇇↔⊺⇮1497)⨸(⊺⇮2463⫢⨠⊺⇮2282))","cot":[{"info":"⊺⇮1295⪭≯⊺⇮1797=NaN","layer":3},{"info":"⊺⇮5351⨵⪆⊺⇮1231=⊺⇮160","layer":3},{"info":"NaN⊝⪿⪼⊺⇮160=NaN","layer":2},{"info":"⊺⇮2474*⊺⇮2098=⊺⇮5190452","layer":3},{"info":"⊺⇮3160⨹=⊺⇮6320","layer":3},{"info":"⊺⇮5190452⋾⨃∁⊺⇮6320=⊺⇮399348066","layer":2},{"info":"NaN⊉≛↸⊺⇮399348066=NaN","layer":1},{"info":"⊺⇮8644⨫⇇↔⊺⇮1497=⊺⇮-527","layer":3},{"info":"⊺⇮2463⫢⨠⊺⇮2282=⊺⇮160","layer":3},{"info":"⊺⇮-527⨸⊺⇮160=⊺⇮1054","layer":2},{"info":"⋼∭⪍⊺⇮1054=⊺⇮-2476","layer":1},{"info":"NaN⩵∡⊺⇮-2476=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"(⇈($1099$∥⊢⊲$1648$⇀∌))⊎←↗","expression":"(⇈(⊺⇮1099∥⊢⊲⊺⇮1648⇀∌))⊎←↗","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1087,"operation_count":4,"complexity_ratio":271.75,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1099,"base":10},"right_expr":{"type":"numeric_atoms","value":1648,"base":10}}}}},"used_operators":["dwb5p0fa6d","SLLxy00UIr","2k53nXOpI5","v1UQAVDJRr"],"dependent_operators":["sdazOOVcIp","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","EBcxylXtPf","rGHVDoGpnC"],"result":"⊺⇮1579","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1648, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=1579","layer":0}],"base":10,"result_base":10,"text":"(⇈(⊺⇮1099∥⊢⊲⊺⇮1648⇀∌))⊎←↗=⊺⇮1579","reverse_text":"⊺⇮1579=(⇈(⊺⇮1099∥⊢⊲⊺⇮1648⇀∌))⊎←↗","cot":[{"info":"⊺⇮1099∥⊢⊲⊺⇮1648=NaN","layer":3},{"info":"NaN⇀∌=NaN","layer":2},{"info":"⇈NaN=⊺⇮-447","layer":1},{"info":"⊺⇮-447⊎←↗=⊺⇮1579","layer":0}]}
{"id":877,"expression_no_base_symbol":"⊵⊁($1226$→⨶⪴$6942$≬⇓$1800$∣$1022$∖(($1410$⫸⇳$3610$)⨘⋶⪀))","expression":"⊵⊁(⊺⇮1226→⨶⪴⊺⇮6942≬⇓⊺⇮1800∣⊺⇮1022∖((⊺⇮1410⫸⇳⊺⇮3610)⨘⋶⪀))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":63150,"operation_count":7,"complexity_ratio":9021.42857142857,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1226,"base":10},"right_expr":{"type":"numeric_atoms","value":6942,"base":10}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1800,"base":10},"right_expr":{"type":"numeric_atoms","value":1022,"base":10}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1410,"base":10},"right_expr":{"type":"numeric_atoms","value":3610,"base":10}}}}},"used_operators":["AvED76WdY7","tXD093vOjl","jWTQ2TZYIH","bF6eod5Gvf","PPChnnnBFF","XVKwrhznBb","gx7XJ7hdpj"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","8w2t5hMYqp","9FxExcQeMw","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1226","layer":4},{"info":"number node, value=6942","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=6942, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-20826","layer":3},{"info":"number node, value=1800","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=1022, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1800","layer":3},{"info":"compute binary expreesion, left_input=-20826, right_input=1800, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":2},{"info":"number node, value=1410","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=3610, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=2802, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊵⊁(⊺⇮1226→⨶⪴⊺⇮6942≬⇓⊺⇮1800∣⊺⇮1022∖((⊺⇮1410⫸⇳⊺⇮3610)⨘⋶⪀))=NaN","reverse_text":"NaN=⊵⊁(⊺⇮1226→⨶⪴⊺⇮6942≬⇓⊺⇮1800∣⊺⇮1022∖((⊺⇮1410⫸⇳⊺⇮3610)⨘⋶⪀))","cot":[{"info":"⊺⇮1226→⨶⪴⊺⇮6942=⊺⇮-20826","layer":3},{"info":"⊺⇮1800∣⊺⇮1022=⊺⇮1800","layer":3},{"info":"⊺⇮-20826≬⇓⊺⇮1800=Inf","layer":2},{"info":"⊺⇮1410⫸⇳⊺⇮3610=⊺⇮0","layer":3},{"info":"⊺⇮0⨘⋶⪀=⊺⇮2802","layer":2},{"info":"Inf∖⊺⇮2802=⊺⇮0","layer":1},{"info":"⊵⊁⊺⇮0=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"($1590$≴⪞⇿$4285$≠≀$1209$≀⫉$1183$≬⋮($3193$∲⫓$1216$)⇄$7605$∥⊢⊲$2768$)⫥∨⫟($4427$⪔⊥$3160$⊭↱$1825$⨓$1656$)⫗⊷⫓(($3608$⪭$2390$)⪎↠($1275$∪⫐$7451$))","expression":"(⊺⇮1590≴⪞⇿⊺⇮4285≠≀⊺⇮1209≀⫉⊺⇮1183≬⋮(⊺⇮3193∲⫓⊺⇮1216)⇄⊺⇮7605∥⊢⊲⊺⇮2768)⫥∨⫟(⊺⇮4427⪔⊥⊺⇮3160⊭↱⊺⇮1825⨓⊺⇮1656)⫗⊷⫓((⊺⇮3608⪭⊺⇮2390)⪎↠(⊺⇮1275∪⫐⊺⇮7451))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":90925,"operation_count":15,"complexity_ratio":6061.666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1590,"base":10},"right_expr":{"type":"numeric_atoms","value":4285,"base":10}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1209,"base":10},"right_expr":{"type":"numeric_atoms","value":1183,"base":10}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3193,"base":10},"right_expr":{"type":"numeric_atoms","value":1216,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":7605,"base":10},"right_expr":{"type":"numeric_atoms","value":2768,"base":10}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4427,"base":10},"right_expr":{"type":"numeric_atoms","value":3160,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1825,"base":10},"right_expr":{"type":"numeric_atoms","value":1656,"base":10}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3608,"base":10},"right_expr":{"type":"numeric_atoms","value":2390,"base":10}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1275,"base":10},"right_expr":{"type":"numeric_atoms","value":7451,"base":10}}}}},"used_operators":["KYD54nUTWz","kbkesczE7y","IwW236VD4Y","lvlrscuwVU","oZj3VtZNQx","3EYGwJThht","i8ToyICDmI","v1UQAVDJRr","zashukvMKz","COABgblf1C","HJ9erzHUuu","3ViojmjbAp","3tVxb0NHM4","j9kHMeSvPp","7YooWSwCyH"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","COABgblf1C","xUOZtlo3hN","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1590","layer":4},{"info":"number node, value=4285","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=4285, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3469212","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1183, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=3469212, right_input=2822, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6938118","layer":2},{"info":"number node, value=3193","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=1216, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=7605","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=7605, right_input=2768, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6938118, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=4427","layer":4},{"info":"number node, value=3160","layer":4},{"info":"compute binary expreesion, left_input=4427, right_input=3160, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=11189","layer":3},{"info":"number node, value=1825","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1825, right_input=1656, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1659","layer":3},{"info":"compute binary expreesion, left_input=11189, right_input=-1659, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-25691","layer":2},{"info":"number node, value=3608","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=3608, right_input=2390, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=7451","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=7451, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1275","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=1275, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=873","layer":2},{"info":"compute binary expreesion, left_input=-25691, right_input=873, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1590≴⪞⇿⊺⇮4285≠≀⊺⇮1209≀⫉⊺⇮1183≬⋮(⊺⇮3193∲⫓⊺⇮1216)⇄⊺⇮7605∥⊢⊲⊺⇮2768)⫥∨⫟(⊺⇮4427⪔⊥⊺⇮3160⊭↱⊺⇮1825⨓⊺⇮1656)⫗⊷⫓((⊺⇮3608⪭⊺⇮2390)⪎↠(⊺⇮1275∪⫐⊺⇮7451))=NaN","reverse_text":"NaN=(⊺⇮1590≴⪞⇿⊺⇮4285≠≀⊺⇮1209≀⫉⊺⇮1183≬⋮(⊺⇮3193∲⫓⊺⇮1216)⇄⊺⇮7605∥⊢⊲⊺⇮2768)⫥∨⫟(⊺⇮4427⪔⊥⊺⇮3160⊭↱⊺⇮1825⨓⊺⇮1656)⫗⊷⫓((⊺⇮3608⪭⊺⇮2390)⪎↠(⊺⇮1275∪⫐⊺⇮7451))","cot":[{"info":"⊺⇮1590≴⪞⇿⊺⇮4285=⊺⇮3469212","layer":3},{"info":"⊺⇮1209≀⫉⊺⇮1183=⊺⇮2822","layer":3},{"info":"⊺⇮3469212≠≀⊺⇮2822=⊺⇮-6938118","layer":2},{"info":"⊺⇮3193∲⫓⊺⇮1216=⊺⇮0","layer":3},{"info":"⊺⇮7605∥⊢⊲⊺⇮2768=NaN","layer":3},{"info":"⊺⇮0⇄NaN=NaN","layer":2},{"info":"⊺⇮-6938118≬⋮NaN=NaN","layer":1},{"info":"⊺⇮4427⪔⊥⊺⇮3160=⊺⇮11189","layer":3},{"info":"⊺⇮1825⨓⊺⇮1656=⊺⇮-1659","layer":3},{"info":"⊺⇮11189⊭↱⊺⇮-1659=⊺⇮-25691","layer":2},{"info":"⊺⇮3608⪭⊺⇮2390=⊺⇮5","layer":3},{"info":"⊺⇮1275∪⫐⊺⇮7451=⊺⇮1275","layer":3},{"info":"⊺⇮5⪎↠⊺⇮1275=⊺⇮873","layer":2},{"info":"⊺⇮-25691⫗⊷⫓⊺⇮873=⊺⇮-134","layer":1},{"info":"NaN⫥∨⫟⊺⇮-134=NaN","layer":0}]}
{"id":879,"expression_no_base_symbol":"((≑⋹($1478$≨$3169$))⋆⋳)⨑≵⋬((↽≂$3808$)⨸(⨞⊢$1153$)⊍⩺⋍(↡($2488$∌$3374$)))","expression":"((≑⋹(⊺⇮1478≨⊺⇮3169))⋆⋳)⨑≵⋬((↽≂⊺⇮3808)⨸(⨞⊢⊺⇮1153)⊍⩺⋍(↡(⊺⇮2488∌⊺⇮3374)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20688,"operation_count":10,"complexity_ratio":2068.8,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1478,"base":10},"right_expr":{"type":"numeric_atoms","value":3169,"base":10}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3808,"base":10}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1153,"base":10}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2488,"base":10},"right_expr":{"type":"numeric_atoms","value":3374,"base":10}}}}},"used_operators":["XnXgA4xnOs","6MpZysEj17","6B9nyZLogK","0KMCeP1Jsh","OXDGMFPWZM","KmoU8R5UQR","u6S6b8DprG","xUOZtlo3hN","MXaNJeIAZ3","8cLx32lpNA"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1478","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=3169, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12304","layer":3},{"info":"compute unary expreesion, input=-12304, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"compute unary expreesion, input=-766, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=1500","layer":1},{"info":"number node, value=3808","layer":4},{"info":"compute unary expreesion, input=3808, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7616","layer":3},{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1327","layer":3},{"info":"compute binary expreesion, left_input=-7616, right_input=-1327, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=424734","layer":2},{"info":"number node, value=2488","layer":4},{"info":"number node, value=3374","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=3374, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3374","layer":3},{"info":"compute unary expreesion, input=-3374, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-30366","layer":2},{"info":"compute binary expreesion, left_input=424734, right_input=-30366, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≑⋹(⊺⇮1478≨⊺⇮3169))⋆⋳)⨑≵⋬((↽≂⊺⇮3808)⨸(⨞⊢⊺⇮1153)⊍⩺⋍(↡(⊺⇮2488∌⊺⇮3374)))=NaN","reverse_text":"NaN=((≑⋹(⊺⇮1478≨⊺⇮3169))⋆⋳)⨑≵⋬((↽≂⊺⇮3808)⨸(⨞⊢⊺⇮1153)⊍⩺⋍(↡(⊺⇮2488∌⊺⇮3374)))","cot":[{"info":"⊺⇮1478≨⊺⇮3169=⊺⇮-12304","layer":3},{"info":"≑⋹⊺⇮-12304=⊺⇮-766","layer":2},{"info":"⊺⇮-766⋆⋳=⊺⇮1500","layer":1},{"info":"↽≂⊺⇮3808=⊺⇮-7616","layer":3},{"info":"⨞⊢⊺⇮1153=⊺⇮-1327","layer":3},{"info":"⊺⇮-7616⨸⊺⇮-1327=⊺⇮424734","layer":2},{"info":"⊺⇮2488∌⊺⇮3374=⊺⇮-3374","layer":3},{"info":"↡⊺⇮-3374=⊺⇮-30366","layer":2},{"info":"⊺⇮424734⊍⩺⋍⊺⇮-30366=NaN","layer":1},{"info":"⊺⇮1500⨑≵⋬NaN=NaN","layer":0}]}
{"id":880,"expression_no_base_symbol":"(→⩰($2897$≹⇙⪍$3870$)⩦($1200$⪇≇⋚$3243$))⪄($1024$⪝$1039$⊢($1330$⪕$2096$)∙∹∝$2414$+⪬∐$1699$⪥($1935$⇄$4586$))","expression":"(→⩰(⊺⇮2897≹⇙⪍⊺⇮3870)⩦(⊺⇮1200⪇≇⋚⊺⇮3243))⪄(⊺⇮1024⪝⊺⇮1039⊢(⊺⇮1330⪕⊺⇮2096)∙∹∝⊺⇮2414+⪬∐⊺⇮1699⪥(⊺⇮1935⇄⊺⇮4586))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":712,"operation_count":12,"complexity_ratio":59.333333333333336,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2897,"base":10},"right_expr":{"type":"numeric_atoms","value":3870,"base":10}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1200,"base":10},"right_expr":{"type":"numeric_atoms","value":3243,"base":10}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1024,"base":10},"right_expr":{"type":"numeric_atoms","value":1039,"base":10}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1330,"base":10},"right_expr":{"type":"numeric_atoms","value":2096,"base":10}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2414,"base":10},"right_expr":{"type":"numeric_atoms","value":1699,"base":10}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1935,"base":10},"right_expr":{"type":"numeric_atoms","value":4586,"base":10}}}}},"used_operators":["SUmda5xLS4","o8Pngz0Tml","0kmYd0q39Y","AHs5Up7iyr","3sJ7IOPOlU","HmxsFra2vL","5twsqlHp2o","wicAB68Tmb","umQnsF7QlU","QbnwKVWMIQ","2GS7woTJqF","3EYGwJThht"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⊺⇮3979","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2897","layer":4},{"info":"number node, value=3870","layer":4},{"info":"compute binary expreesion, left_input=2897, right_input=3870, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1200","layer":4},{"info":"number node, value=3243","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=3243, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=1024","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1039, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1039","layer":3},{"info":"number node, value=1330","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=2096, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1465","layer":3},{"info":"compute binary expreesion, left_input=-1039, right_input=1465, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=1834","layer":2},{"info":"number node, value=2414","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=1699, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7242","layer":3},{"info":"number node, value=1935","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=4586, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7242, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=1834, right_input=-1798, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":10,"result_base":10,"text":"(→⩰(⊺⇮2897≹⇙⪍⊺⇮3870)⩦(⊺⇮1200⪇≇⋚⊺⇮3243))⪄(⊺⇮1024⪝⊺⇮1039⊢(⊺⇮1330⪕⊺⇮2096)∙∹∝⊺⇮2414+⪬∐⊺⇮1699⪥(⊺⇮1935⇄⊺⇮4586))=⊺⇮3979","reverse_text":"⊺⇮3979=(→⩰(⊺⇮2897≹⇙⪍⊺⇮3870)⩦(⊺⇮1200⪇≇⋚⊺⇮3243))⪄(⊺⇮1024⪝⊺⇮1039⊢(⊺⇮1330⪕⊺⇮2096)∙∹∝⊺⇮2414+⪬∐⊺⇮1699⪥(⊺⇮1935⇄⊺⇮4586))","cot":[{"info":"⊺⇮2897≹⇙⪍⊺⇮3870=NaN","layer":3},{"info":"⊺⇮1200⪇≇⋚⊺⇮3243=⊺⇮0","layer":3},{"info":"NaN⩦⊺⇮0=NaN","layer":2},{"info":"→⩰NaN=NaN","layer":1},{"info":"⊺⇮1024⪝⊺⇮1039=⊺⇮-1039","layer":3},{"info":"⊺⇮1330⪕⊺⇮2096=⊺⇮1465","layer":3},{"info":"⊺⇮-1039⊢⊺⇮1465=⊺⇮1834","layer":2},{"info":"⊺⇮2414+⪬∐⊺⇮1699=⊺⇮-7242","layer":3},{"info":"⊺⇮1935⇄⊺⇮4586=⊺⇮0","layer":3},{"info":"⊺⇮-7242⪥⊺⇮0=⊺⇮-1798","layer":2},{"info":"⊺⇮1834∙∹∝⊺⇮-1798=⊺⇮0","layer":1},{"info":"NaN⪄⊺⇮0=⊺⇮3979","layer":0}]}
{"id":881,"expression_no_base_symbol":"(($6733$≬⋮$1720$⋻⩜⩜$3778$⊔$4988$)⪕(⇋↷$1536$)∣(⊤⊝$2010$))⪢(⪭⩑⪱($1322$⨫⇇↔$7819$↫))","expression":"((⊺⇮6733≬⋮⊺⇮1720⋻⩜⩜⊺⇮3778⊔⊺⇮4988)⪕(⇋↷⊺⇮1536)∣(⊤⊝⊺⇮2010))⪢(⪭⩑⪱(⊺⇮1322⨫⇇↔⊺⇮7819↫))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":427889,"operation_count":11,"complexity_ratio":38899.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":6733,"base":10},"right_expr":{"type":"numeric_atoms","value":1720,"base":10}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3778,"base":10},"right_expr":{"type":"numeric_atoms","value":4988,"base":10}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1536,"base":10}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2010,"base":10}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1322,"base":10},"right_expr":{"type":"numeric_atoms","value":7819,"base":10}}}}},"used_operators":["dWAJyo7jo9","umQnsF7QlU","oDCm7WA9JY","kbkesczE7y","E4l6HwMY31","PPChnnnBFF","SWo3A1KBJH","rXAclfmB4M","SIgE0bArFf","uPb5QRN0te","LXhwmt4mBO"],"dependent_operators":["k8jYdgA6NY","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","sdazOOVcIp","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6733","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=6733, right_input=1720, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=3778","layer":4},{"info":"number node, value=4988","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=4988, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=30096","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=30096, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1736","layer":2},{"info":"number node, value=1536","layer":4},{"info":"compute unary expreesion, input=1536, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12288","layer":3},{"info":"number node, value=2010","layer":4},{"info":"compute unary expreesion, input=2010, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2722","layer":3},{"info":"compute binary expreesion, left_input=12288, right_input=2722, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=12288","layer":2},{"info":"compute binary expreesion, left_input=1736, right_input=12288, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"number node, value=1322","layer":4},{"info":"number node, value=7819","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=7819, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=8320752, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6733≬⋮⊺⇮1720⋻⩜⩜⊺⇮3778⊔⊺⇮4988)⪕(⇋↷⊺⇮1536)∣(⊤⊝⊺⇮2010))⪢(⪭⩑⪱(⊺⇮1322⨫⇇↔⊺⇮7819↫))=NaN","reverse_text":"NaN=((⊺⇮6733≬⋮⊺⇮1720⋻⩜⩜⊺⇮3778⊔⊺⇮4988)⪕(⇋↷⊺⇮1536)∣(⊤⊝⊺⇮2010))⪢(⪭⩑⪱(⊺⇮1322⨫⇇↔⊺⇮7819↫))","cot":[{"info":"⊺⇮6733≬⋮⊺⇮1720=⊺⇮868","layer":3},{"info":"⊺⇮3778⊔⊺⇮4988=⊺⇮30096","layer":3},{"info":"⊺⇮868⋻⩜⩜⊺⇮30096=⊺⇮1736","layer":2},{"info":"⇋↷⊺⇮1536=⊺⇮12288","layer":3},{"info":"⊤⊝⊺⇮2010=⊺⇮2722","layer":3},{"info":"⊺⇮12288∣⊺⇮2722=⊺⇮12288","layer":2},{"info":"⊺⇮1736⪕⊺⇮12288=⊺⇮-55","layer":1},{"info":"⊺⇮1322⨫⇇↔⊺⇮7819=⊺⇮-527","layer":3},{"info":"⊺⇮-527↫=⊺⇮-527","layer":2},{"info":"⪭⩑⪱⊺⇮-527=⊺⇮8320752","layer":1},{"info":"⊺⇮-55⪢⊺⇮8320752=NaN","layer":0}]}
{"id":882,"expression_no_base_symbol":"((($6402$↼⊘⨖$1023$)⪣⫩)⇷(⇜⊴$2237$)∌$1925$⇂≾⫗$3577$)⇻⋧≁(($2536$⨔⇊$4436$↙$2749$⊢$6597$)⨐($4562$≭$1040$∠↢(⨮↦↱$1545$)))","expression":"(((⊺⇮6402↼⊘⨖⊺⇮1023)⪣⫩)⇷(⇜⊴⊺⇮2237)∌⊺⇮1925⇂≾⫗⊺⇮3577)⇻⋧≁((⊺⇮2536⨔⇊⊺⇮4436↙⊺⇮2749⊢⊺⇮6597)⨐(⊺⇮4562≭⊺⇮1040∠↢(⨮↦↱⊺⇮1545)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":83370,"operation_count":14,"complexity_ratio":5955.0,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":6402,"base":10},"right_expr":{"type":"numeric_atoms","value":1023,"base":10}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2237,"base":10}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1925,"base":10},"right_expr":{"type":"numeric_atoms","value":3577,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2536,"base":10},"right_expr":{"type":"numeric_atoms","value":4436,"base":10}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2749,"base":10},"right_expr":{"type":"numeric_atoms","value":6597,"base":10}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4562,"base":10},"right_expr":{"type":"numeric_atoms","value":1040,"base":10}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1545,"base":10}}}}},"used_operators":["jCPkEVoL5K","mp7IySMOzn","iuk5sVOGFA","bPywburJMS","8cLx32lpNA","XwDhCwWbUn","aBQ6xLxuTc","Noe24qw2ks","yyfyN0ffXY","JclMnS0uGI","5twsqlHp2o","KbjG8mgYpV","rxpJgHHUmx","sYcpBQ0cFf"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","AHs5Up7iyr","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6402","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=6402, right_input=1023, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1824","layer":3},{"info":"compute unary expreesion, input=1824, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=5439","layer":2},{"info":"number node, value=2237","layer":4},{"info":"compute unary expreesion, input=2237, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-514218","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=3577","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=3577, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-514218, right_input=-676, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-514218","layer":2},{"info":"compute binary expreesion, left_input=5439, right_input=-514218, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2536","layer":4},{"info":"number node, value=4436","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=4436, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4436","layer":3},{"info":"number node, value=2749","layer":4},{"info":"number node, value=6597","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=6597, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5742","layer":3},{"info":"compute binary expreesion, left_input=4436, right_input=-5742, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=17226","layer":2},{"info":"number node, value=4562","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=4562, right_input=1040, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-3312747","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3312747, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17226, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-34452","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-34452, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮6402↼⊘⨖⊺⇮1023)⪣⫩)⇷(⇜⊴⊺⇮2237)∌⊺⇮1925⇂≾⫗⊺⇮3577)⇻⋧≁((⊺⇮2536⨔⇊⊺⇮4436↙⊺⇮2749⊢⊺⇮6597)⨐(⊺⇮4562≭⊺⇮1040∠↢(⨮↦↱⊺⇮1545)))=⊺⇮0","reverse_text":"⊺⇮0=(((⊺⇮6402↼⊘⨖⊺⇮1023)⪣⫩)⇷(⇜⊴⊺⇮2237)∌⊺⇮1925⇂≾⫗⊺⇮3577)⇻⋧≁((⊺⇮2536⨔⇊⊺⇮4436↙⊺⇮2749⊢⊺⇮6597)⨐(⊺⇮4562≭⊺⇮1040∠↢(⨮↦↱⊺⇮1545)))","cot":[{"info":"⊺⇮6402↼⊘⨖⊺⇮1023=⊺⇮1824","layer":3},{"info":"⊺⇮1824⪣⫩=⊺⇮5439","layer":2},{"info":"⇜⊴⊺⇮2237=⊺⇮-514218","layer":3},{"info":"⊺⇮1925⇂≾⫗⊺⇮3577=⊺⇮-676","layer":3},{"info":"⊺⇮-514218∌⊺⇮-676=⊺⇮-514218","layer":2},{"info":"⊺⇮5439⇷⊺⇮-514218=NaN","layer":1},{"info":"⊺⇮2536⨔⇊⊺⇮4436=⊺⇮4436","layer":3},{"info":"⊺⇮2749⊢⊺⇮6597=⊺⇮-5742","layer":3},{"info":"⊺⇮4436↙⊺⇮-5742=⊺⇮17226","layer":2},{"info":"⊺⇮4562≭⊺⇮1040=NaN","layer":3},{"info":"⨮↦↱⊺⇮1545=⊺⇮-3312747","layer":3},{"info":"NaN∠↢⊺⇮-3312747=NaN","layer":2},{"info":"⊺⇮17226⨐NaN=⊺⇮-34452","layer":1},{"info":"NaN⇻⋧≁⊺⇮-34452=⊺⇮0","layer":0}]}
{"id":883,"expression_no_base_symbol":"(⇖((↩$1196$)⋅⇍($2049$⫡⨏$5355$)))≭(($1837$↬$2942$⨐⩸⫘$3253$⪝$5003$)+⇶⊼($1984$↬⩅∪)∓⋝($2893$⩘))","expression":"(⇖((↩⊺⇮1196)⋅⇍(⊺⇮2049⫡⨏⊺⇮5355)))≭((⊺⇮1837↬⊺⇮2942⨐⩸⫘⊺⇮3253⪝⊺⇮5003)+⇶⊼(⊺⇮1984↬⩅∪)∓⋝(⊺⇮2893⩘))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":58128,"operation_count":12,"complexity_ratio":4844.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1196,"base":10}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2049,"base":10},"right_expr":{"type":"numeric_atoms","value":5355,"base":10}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1837,"base":10},"right_expr":{"type":"numeric_atoms","value":2942,"base":10}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3253,"base":10},"right_expr":{"type":"numeric_atoms","value":5003,"base":10}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1984,"base":10}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":2893,"base":10}}}}},"used_operators":["rxpJgHHUmx","tfWHHpNKUN","AdZkA7nFnk","jLgFTUHLKL","QMFrweE19q","TpPTUOHfaN","fu6greOZ01","B5M0gjZbta","wicAB68Tmb","PoHhknlbAi","VJ330n2nnx","wvHyciQT5X"],"dependent_operators":["AHs5Up7iyr","2DQ55sFlQl","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","3ViojmjbAp","rGHVDoGpnC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","9ICcGScMcE","dfKe02y8D2"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1196","layer":4},{"info":"compute unary expreesion, input=1196, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6788","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=5355","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=5355, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21738","layer":3},{"info":"compute binary expreesion, left_input=-6788, right_input=21738, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"number node, value=1837","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=2942, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3253","layer":4},{"info":"number node, value=5003","layer":4},{"info":"compute binary expreesion, left_input=3253, right_input=5003, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=237, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-240","layer":2},{"info":"number node, value=1984","layer":4},{"info":"compute unary expreesion, input=1984, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-5952","layer":3},{"info":"number node, value=2893","layer":4},{"info":"compute unary expreesion, input=2893, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-5952, right_input=67, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-4610","layer":2},{"info":"compute binary expreesion, left_input=-240, right_input=-4610, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇖((↩⊺⇮1196)⋅⇍(⊺⇮2049⫡⨏⊺⇮5355)))≭((⊺⇮1837↬⊺⇮2942⨐⩸⫘⊺⇮3253⪝⊺⇮5003)+⇶⊼(⊺⇮1984↬⩅∪)∓⋝(⊺⇮2893⩘))=NaN","reverse_text":"NaN=(⇖((↩⊺⇮1196)⋅⇍(⊺⇮2049⫡⨏⊺⇮5355)))≭((⊺⇮1837↬⊺⇮2942⨐⩸⫘⊺⇮3253⪝⊺⇮5003)+⇶⊼(⊺⇮1984↬⩅∪)∓⋝(⊺⇮2893⩘))","cot":[{"info":"↩⊺⇮1196=⊺⇮-6788","layer":3},{"info":"⊺⇮2049⫡⨏⊺⇮5355=⊺⇮21738","layer":3},{"info":"⊺⇮-6788⋅⇍⊺⇮21738=⊺⇮-22","layer":2},{"info":"⇖⊺⇮-22=⊺⇮160","layer":1},{"info":"⊺⇮1837↬⊺⇮2942=NaN","layer":3},{"info":"⊺⇮3253⪝⊺⇮5003=⊺⇮237","layer":3},{"info":"NaN⨐⩸⫘⊺⇮237=⊺⇮-240","layer":2},{"info":"⊺⇮1984↬⩅∪=⊺⇮-5952","layer":3},{"info":"⊺⇮2893⩘=⊺⇮67","layer":3},{"info":"⊺⇮-5952∓⋝⊺⇮67=⊺⇮-4610","layer":2},{"info":"⊺⇮-240+⇶⊼⊺⇮-4610=NaN","layer":1},{"info":"⊺⇮160≭NaN=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"($2721$⩘$3712$+$1565$⩣⫁∢$1935$)⇂≾⫗($1985$⨼⩣$1083$)⫗⊷⫓($5030$⊭↱$3461$)⫲≸⪮($2224$∸)∴($1804$⫩)∴(⪝⪂⫅($1782$⫃⨇$1108$))","expression":"(⊺⇮2721⩘⊺⇮3712+⊺⇮1565⩣⫁∢⊺⇮1935)⇂≾⫗(⊺⇮1985⨼⩣⊺⇮1083)⫗⊷⫓(⊺⇮5030⊭↱⊺⇮3461)⫲≸⪮(⊺⇮2224∸)∴(⊺⇮1804⫩)∴(⪝⪂⫅(⊺⇮1782⫃⨇⊺⇮1108))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":90937,"operation_count":14,"complexity_ratio":6495.5,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2721,"base":10},"right_expr":{"type":"numeric_atoms","value":3712,"base":10}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1565,"base":10},"right_expr":{"type":"numeric_atoms","value":1935,"base":10}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1985,"base":10},"right_expr":{"type":"numeric_atoms","value":1083,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5030,"base":10},"right_expr":{"type":"numeric_atoms","value":3461,"base":10}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2224,"base":10}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1804,"base":10}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1782,"base":10},"right_expr":{"type":"numeric_atoms","value":1108,"base":10}}}}},"used_operators":["P3lXMJvFrc","aBQ6xLxuTc","W4YGzv6Whe","cHh1gJQ2o6","JDUIKTTSIa","zashukvMKz","JxwMv5le6e","COABgblf1C","hrf7POJlIJ","o20kRiQErp","6aG7x05OhS","XTarYq4gQB","09Ly4LVMIf"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","tmPS8pqC7x","dWAJyo7jo9","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⊺⇮-670","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2721","layer":4},{"info":"number node, value=3712","layer":4},{"info":"compute binary expreesion, left_input=2721, right_input=3712, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1565","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=1935, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2969","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2969, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-2809","layer":2},{"info":"number node, value=1985","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=1083, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=5030","layer":4},{"info":"number node, value=3461","layer":4},{"info":"compute binary expreesion, left_input=5030, right_input=3461, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3133","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3133, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-2809, right_input=-134, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"number node, value=2224","layer":4},{"info":"compute unary expreesion, input=2224, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1804","layer":4},{"info":"compute unary expreesion, input=1804, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=2002","layer":2},{"info":"number node, value=1782","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=1108, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4464","layer":3},{"info":"compute unary expreesion, input=-4464, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=656208","layer":2},{"info":"compute binary expreesion, left_input=2002, right_input=656208, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5652","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=5652, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-670","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2721⩘⊺⇮3712+⊺⇮1565⩣⫁∢⊺⇮1935)⇂≾⫗(⊺⇮1985⨼⩣⊺⇮1083)⫗⊷⫓(⊺⇮5030⊭↱⊺⇮3461)⫲≸⪮(⊺⇮2224∸)∴(⊺⇮1804⫩)∴(⪝⪂⫅(⊺⇮1782⫃⨇⊺⇮1108))=⊺⇮-670","reverse_text":"⊺⇮-670=(⊺⇮2721⩘⊺⇮3712+⊺⇮1565⩣⫁∢⊺⇮1935)⇂≾⫗(⊺⇮1985⨼⩣⊺⇮1083)⫗⊷⫓(⊺⇮5030⊭↱⊺⇮3461)⫲≸⪮(⊺⇮2224∸)∴(⊺⇮1804⫩)∴(⪝⪂⫅(⊺⇮1782⫃⨇⊺⇮1108))","cot":[{"info":"⊺⇮2721⩘⊺⇮3712=⊺⇮160","layer":3},{"info":"⊺⇮1565⩣⫁∢⊺⇮1935=⊺⇮-2969","layer":3},{"info":"⊺⇮160+⊺⇮-2969=⊺⇮-2809","layer":2},{"info":"⊺⇮1985⨼⩣⊺⇮1083=NaN","layer":3},{"info":"⊺⇮5030⊭↱⊺⇮3461=⊺⇮-3133","layer":3},{"info":"NaN⫗⊷⫓⊺⇮-3133=⊺⇮-134","layer":2},{"info":"⊺⇮-2809⇂≾⫗⊺⇮-134=⊺⇮-670","layer":1},{"info":"⊺⇮2224∸=⊺⇮177","layer":3},{"info":"⊺⇮1804⫩=NaN","layer":3},{"info":"⊺⇮177∴NaN=⊺⇮2002","layer":2},{"info":"⊺⇮1782⫃⨇⊺⇮1108=⊺⇮-4464","layer":3},{"info":"⪝⪂⫅⊺⇮-4464=⊺⇮656208","layer":2},{"info":"⊺⇮2002∴⊺⇮656208=⊺⇮5652","layer":1},{"info":"⊺⇮-670⫲≸⪮⊺⇮5652=⊺⇮-670","layer":0}]}
{"id":885,"expression_no_base_symbol":"(($3541$⨵⪆$1885$)⩌⋺($1850$⊍⩺⋍$1779$)⇟⨁⪰)∙⊟(⩩(($4988$⩚⊴⇥$1645$)↬($2683$⋳⪒$1473$)))","expression":"((⊺⇮3541⨵⪆⊺⇮1885)⩌⋺(⊺⇮1850⊍⩺⋍⊺⇮1779)⇟⨁⪰)∙⊟(⩩((⊺⇮4988⩚⊴⇥⊺⇮1645)↬(⊺⇮2683⋳⪒⊺⇮1473)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1218,"operation_count":9,"complexity_ratio":135.33333333333334,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3541,"base":10},"right_expr":{"type":"numeric_atoms","value":1885,"base":10}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1850,"base":10},"right_expr":{"type":"numeric_atoms","value":1779,"base":10}}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4988,"base":10},"right_expr":{"type":"numeric_atoms","value":1645,"base":10}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2683,"base":10},"right_expr":{"type":"numeric_atoms","value":1473,"base":10}}}}},"used_operators":["SxTAKzQCrw","BX1lVwlMe0","g7Hmc5v1ko","2DQ55sFlQl","OXDGMFPWZM","kMhfGuqI2H","B5M0gjZbta","NTOWxs364D","12rbrZMWeM"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3541","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=3541, right_input=1885, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1850","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=1779, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=nan","layer":1},{"info":"number node, value=4988","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=4988, right_input=1645, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6754","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=1473, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3606","layer":3},{"info":"compute binary expreesion, left_input=-6754, right_input=3606, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3541⨵⪆⊺⇮1885)⩌⋺(⊺⇮1850⊍⩺⋍⊺⇮1779)⇟⨁⪰)∙⊟(⩩((⊺⇮4988⩚⊴⇥⊺⇮1645)↬(⊺⇮2683⋳⪒⊺⇮1473)))=NaN","reverse_text":"NaN=((⊺⇮3541⨵⪆⊺⇮1885)⩌⋺(⊺⇮1850⊍⩺⋍⊺⇮1779)⇟⨁⪰)∙⊟(⩩((⊺⇮4988⩚⊴⇥⊺⇮1645)↬(⊺⇮2683⋳⪒⊺⇮1473)))","cot":[{"info":"⊺⇮3541⨵⪆⊺⇮1885=⊺⇮160","layer":3},{"info":"⊺⇮1850⊍⩺⋍⊺⇮1779=NaN","layer":3},{"info":"⊺⇮160⩌⋺NaN=NaN","layer":2},{"info":"NaN⇟⨁⪰=NaN","layer":1},{"info":"⊺⇮4988⩚⊴⇥⊺⇮1645=⊺⇮-6754","layer":3},{"info":"⊺⇮2683⋳⪒⊺⇮1473=⊺⇮3606","layer":3},{"info":"⊺⇮-6754↬⊺⇮3606=NaN","layer":2},{"info":"⩩NaN=NaN","layer":1},{"info":"NaN∙⊟NaN=NaN","layer":0}]}
{"id":886,"expression_no_base_symbol":"(⫛⫱⨽($1309$⨎$9769$⪓⨏))∥⊢⊲((∤↝($5041$⊵↤))∼($1328$⪥$1811$⫚↹⊑($1029$⪓⨏)))","expression":"(⫛⫱⨽(⊺⇮1309⨎⊺⇮9769⪓⨏))∥⊢⊲((∤↝(⊺⇮5041⊵↤))∼(⊺⇮1328⪥⊺⇮1811⫚↹⊑(⊺⇮1029⪓⨏)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13921,"operation_count":10,"complexity_ratio":1392.1,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1309,"base":10},"right_expr":{"type":"numeric_atoms","value":9769,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":5041,"base":10}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1328,"base":10},"right_expr":{"type":"numeric_atoms","value":1811,"base":10}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1029,"base":10}}}}},"used_operators":["v1UQAVDJRr","DlLNRPXxWL","4X9JU4Jbn6","rJVOvQCfKK","DyGG3AbaNP","3UMq87Qwqg","7IPrd9c3lf","dfKe02y8D2","QbnwKVWMIQ"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","rGHVDoGpnC","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1309","layer":4},{"info":"number node, value=9769","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=9769, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9769","layer":3},{"info":"compute unary expreesion, input=9769, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=5041","layer":4},{"info":"compute unary expreesion, input=5041, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=67","layer":2},{"info":"number node, value=1328","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=1811, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9964","layer":3},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9964, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-447, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽(⊺⇮1309⨎⊺⇮9769⪓⨏))∥⊢⊲((∤↝(⊺⇮5041⊵↤))∼(⊺⇮1328⪥⊺⇮1811⫚↹⊑(⊺⇮1029⪓⨏)))=⊺⇮0","reverse_text":"⊺⇮0=(⫛⫱⨽(⊺⇮1309⨎⊺⇮9769⪓⨏))∥⊢⊲((∤↝(⊺⇮5041⊵↤))∼(⊺⇮1328⪥⊺⇮1811⫚↹⊑(⊺⇮1029⪓⨏)))","cot":[{"info":"⊺⇮1309⨎⊺⇮9769=⊺⇮9769","layer":3},{"info":"⊺⇮9769⪓⨏=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⊺⇮5041⊵↤=⊺⇮67","layer":3},{"info":"∤↝⊺⇮67=⊺⇮67","layer":2},{"info":"⊺⇮1328⪥⊺⇮1811=⊺⇮9964","layer":3},{"info":"⊺⇮1029⪓⨏=NaN","layer":3},{"info":"⊺⇮9964⫚↹⊑NaN=⊺⇮-447","layer":2},{"info":"⊺⇮67∼⊺⇮-447=⊺⇮0","layer":1},{"info":"NaN∥⊢⊲⊺⇮0=⊺⇮0","layer":0}]}
{"id":887,"expression_no_base_symbol":"((($1150$⨔≚≋$5510$)⨐($1751$⪨⊡$5072$))⫠)⨐⩸⫘($6361$⨪↰⇹$1266$⋭≵($2057$⫚↹⊑$2142$)⩨(⫓⪴$3646$)⫯⪬∳($6132$⊦⊿))","expression":"(((⊺⇮1150⨔≚≋⊺⇮5510)⨐(⊺⇮1751⪨⊡⊺⇮5072))⫠)⨐⩸⫘(⊺⇮6361⨪↰⇹⊺⇮1266⋭≵(⊺⇮2057⫚↹⊑⊺⇮2142)⩨(⫓⪴⊺⇮3646)⫯⪬∳(⊺⇮6132⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":881836,"operation_count":12,"complexity_ratio":73486.33333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1150,"base":10},"right_expr":{"type":"numeric_atoms","value":5510,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1751,"base":10},"right_expr":{"type":"numeric_atoms","value":5072,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6361,"base":10},"right_expr":{"type":"numeric_atoms","value":1266,"base":10}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2057,"base":10},"right_expr":{"type":"numeric_atoms","value":2142,"base":10}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3646,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6132,"base":10}}}}},"used_operators":["fu6greOZ01","6SnOT2rOjz","Noe24qw2ks","Z57zeUYC9z","kuIXHzHcAH","2DlMacCsIx","jBncVCNhdl","tmPS8pqC7x","dfKe02y8D2","d7ASUq0ydm","eLxqMNBOBk","14qkJME0vr"],"dependent_operators":["3ViojmjbAp","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rJVOvQCfKK","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1150","layer":4},{"info":"number node, value=5510","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=5510, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=5072","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=5072, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-19744","layer":2},{"info":"compute unary expreesion, input=-19744, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"number node, value=6361","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=6361, right_input=1266, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6361","layer":3},{"info":"number node, value=2057","layer":4},{"info":"number node, value=2142","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=2142, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=6361, right_input=-447, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=3646","layer":4},{"info":"compute unary expreesion, input=3646, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13293316","layer":3},{"info":"number node, value=6132","layer":4},{"info":"compute unary expreesion, input=6132, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-18475","layer":3},{"info":"compute binary expreesion, left_input=13293316, right_input=-18475, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=39880015","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=39880015, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-1785672","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1785672, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1150⨔≚≋⊺⇮5510)⨐(⊺⇮1751⪨⊡⊺⇮5072))⫠)⨐⩸⫘(⊺⇮6361⨪↰⇹⊺⇮1266⋭≵(⊺⇮2057⫚↹⊑⊺⇮2142)⩨(⫓⪴⊺⇮3646)⫯⪬∳(⊺⇮6132⊦⊿))=NaN","reverse_text":"NaN=(((⊺⇮1150⨔≚≋⊺⇮5510)⨐(⊺⇮1751⪨⊡⊺⇮5072))⫠)⨐⩸⫘(⊺⇮6361⨪↰⇹⊺⇮1266⋭≵(⊺⇮2057⫚↹⊑⊺⇮2142)⩨(⫓⪴⊺⇮3646)⫯⪬∳(⊺⇮6132⊦⊿))","cot":[{"info":"⊺⇮1150⨔≚≋⊺⇮5510=⊺⇮9872","layer":3},{"info":"⊺⇮1751⪨⊡⊺⇮5072=⊺⇮0","layer":3},{"info":"⊺⇮9872⨐⊺⇮0=⊺⇮-19744","layer":2},{"info":"⊺⇮-19744⫠=⊺⇮0","layer":1},{"info":"⊺⇮6361⨪↰⇹⊺⇮1266=⊺⇮6361","layer":3},{"info":"⊺⇮2057⫚↹⊑⊺⇮2142=⊺⇮-447","layer":3},{"info":"⊺⇮6361⋭≵⊺⇮-447=⊺⇮67","layer":2},{"info":"⫓⪴⊺⇮3646=⊺⇮13293316","layer":3},{"info":"⊺⇮6132⊦⊿=⊺⇮-18475","layer":3},{"info":"⊺⇮13293316⫯⪬∳⊺⇮-18475=⊺⇮39880015","layer":2},{"info":"⊺⇮67⩨⊺⇮39880015=⊺⇮-1785672","layer":1},{"info":"⊺⇮0⨐⩸⫘⊺⇮-1785672=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"(≸$2122$)↹⊜($1437$⊭↱$5408$)*(⨡↴$4267$⊕∕$1448$)∖(((↽≂$1749$)⋅⇍$2452$∠↢$1560$)⫭)","expression":"(≸⊺⇮2122)↹⊜(⊺⇮1437⊭↱⊺⇮5408)*(⨡↴⊺⇮4267⊕∕⊺⇮1448)∖(((↽≂⊺⇮1749)⋅⇍⊺⇮2452∠↢⊺⇮1560)⫭)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6332,"operation_count":11,"complexity_ratio":575.6363636363636,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2122,"base":10}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1437,"base":10},"right_expr":{"type":"numeric_atoms","value":5408,"base":10}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4267,"base":10},"right_expr":{"type":"numeric_atoms","value":1448,"base":10}}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1749,"base":10}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2452,"base":10},"right_expr":{"type":"numeric_atoms","value":1560,"base":10}}}}},"used_operators":["tXD093vOjl","9HNa5Wba9A","9bazX3JMtO","eOf03JbCpp","COABgblf1C","liw5iZPkLH","9cloC0Ngie","t4WUHVGj7f","AdZkA7nFnk","u6S6b8DprG","KbjG8mgYpV"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","P8v4zCKN1o","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2122","layer":4},{"info":"compute unary expreesion, input=2122, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=5408","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=5408, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7947","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=7947, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-63672","layer":2},{"info":"number node, value=4267","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=1448, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4267","layer":3},{"info":"compute unary expreesion, input=4267, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5316","layer":2},{"info":"compute binary expreesion, left_input=-63672, right_input=5316, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-338480352","layer":1},{"info":"number node, value=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3498","layer":3},{"info":"number node, value=2452","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=1560, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-30566","layer":3},{"info":"compute binary expreesion, left_input=-3498, right_input=-30566, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=2925","layer":2},{"info":"compute unary expreesion, input=2925, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=9016","layer":1},{"info":"compute binary expreesion, left_input=-338480352, right_input=9016, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(≸⊺⇮2122)↹⊜(⊺⇮1437⊭↱⊺⇮5408)*(⨡↴⊺⇮4267⊕∕⊺⇮1448)∖(((↽≂⊺⇮1749)⋅⇍⊺⇮2452∠↢⊺⇮1560)⫭)=⊺⇮0","reverse_text":"⊺⇮0=(≸⊺⇮2122)↹⊜(⊺⇮1437⊭↱⊺⇮5408)*(⨡↴⊺⇮4267⊕∕⊺⇮1448)∖(((↽≂⊺⇮1749)⋅⇍⊺⇮2452∠↢⊺⇮1560)⫭)","cot":[{"info":"≸⊺⇮2122=⊺⇮58","layer":3},{"info":"⊺⇮1437⊭↱⊺⇮5408=⊺⇮7947","layer":3},{"info":"⊺⇮58↹⊜⊺⇮7947=⊺⇮-63672","layer":2},{"info":"⊺⇮4267⊕∕⊺⇮1448=⊺⇮4267","layer":3},{"info":"⨡↴⊺⇮4267=⊺⇮5316","layer":2},{"info":"⊺⇮-63672*⊺⇮5316=⊺⇮-338480352","layer":1},{"info":"↽≂⊺⇮1749=⊺⇮-3498","layer":3},{"info":"⊺⇮2452∠↢⊺⇮1560=⊺⇮-30566","layer":3},{"info":"⊺⇮-3498⋅⇍⊺⇮-30566=⊺⇮2925","layer":2},{"info":"⊺⇮2925⫭=⊺⇮9016","layer":1},{"info":"⊺⇮-338480352∖⊺⇮9016=⊺⇮0","layer":0}]}
{"id":889,"expression_no_base_symbol":"(($5591$⋻⩜⩜$4724$)⊮⊟↴($5965$≌$1191$)⪡(($2477$∝$1253$)≥⨤⩑($5026$⪉⨛$4300$)))⊴(($2987$⇣⩺⋵$2795$⨔≚≋(↯⪼$1069$))∼($6712$⇆⨓≜)⫗⊷⫓($5984$⩇∃⫛$1775$))","expression":"((⊺⇮5591⋻⩜⩜⊺⇮4724)⊮⊟↴(⊺⇮5965≌⊺⇮1191)⪡((⊺⇮2477∝⊺⇮1253)≥⨤⩑(⊺⇮5026⪉⨛⊺⇮4300)))⊴((⊺⇮2987⇣⩺⋵⊺⇮2795⨔≚≋(↯⪼⊺⇮1069))∼(⊺⇮6712⇆⨓≜)⫗⊷⫓(⊺⇮5984⩇∃⫛⊺⇮1775))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":155984,"operation_count":15,"complexity_ratio":10398.933333333332,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5591,"base":10},"right_expr":{"type":"numeric_atoms","value":4724,"base":10}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5965,"base":10},"right_expr":{"type":"numeric_atoms","value":1191,"base":10}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2477,"base":10},"right_expr":{"type":"numeric_atoms","value":1253,"base":10}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":5026,"base":10},"right_expr":{"type":"numeric_atoms","value":4300,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2987,"base":10},"right_expr":{"type":"numeric_atoms","value":2795,"base":10}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1069,"base":10}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":6712,"base":10}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":5984,"base":10},"right_expr":{"type":"numeric_atoms","value":1775,"base":10}}}}},"used_operators":["Nsiff2A1zJ","oraRL2iQuh","QDVgd2eftb","oDCm7WA9JY","lyWz822IDG","gJLn6v0xnP","cTDWOvIxvz","EWw2JM7wp4","DyGG3AbaNP","Z57zeUYC9z","F4yD0voBRQ","8jW3W4yZS5","zashukvMKz","KvvgdUaMHJ","1aApVXNlOP"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Uaa54Peajs","KYD54nUTWz","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⊺⇮-79","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5591","layer":4},{"info":"number node, value=4724","layer":4},{"info":"compute binary expreesion, left_input=5591, right_input=4724, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=11182","layer":3},{"info":"number node, value=5965","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=5965, right_input=1191, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11182, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":2},{"info":"number node, value=2477","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=1253, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2482","layer":3},{"info":"number node, value=5026","layer":4},{"info":"number node, value=4300","layer":4},{"info":"compute binary expreesion, left_input=5026, right_input=4300, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=10993","layer":3},{"info":"compute binary expreesion, left_input=2482, right_input=10993, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"number node, value=2987","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=2987, right_input=2795, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-21, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=1568","layer":2},{"info":"number node, value=6712","layer":4},{"info":"compute unary expreesion, input=6712, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=5984","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=5984, right_input=1775, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-3736","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3736, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=1568, right_input=-134, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5591⋻⩜⩜⊺⇮4724)⊮⊟↴(⊺⇮5965≌⊺⇮1191)⪡((⊺⇮2477∝⊺⇮1253)≥⨤⩑(⊺⇮5026⪉⨛⊺⇮4300)))⊴((⊺⇮2987⇣⩺⋵⊺⇮2795⨔≚≋(↯⪼⊺⇮1069))∼(⊺⇮6712⇆⨓≜)⫗⊷⫓(⊺⇮5984⩇∃⫛⊺⇮1775))=⊺⇮-79","reverse_text":"⊺⇮-79=((⊺⇮5591⋻⩜⩜⊺⇮4724)⊮⊟↴(⊺⇮5965≌⊺⇮1191)⪡((⊺⇮2477∝⊺⇮1253)≥⨤⩑(⊺⇮5026⪉⨛⊺⇮4300)))⊴((⊺⇮2987⇣⩺⋵⊺⇮2795⨔≚≋(↯⪼⊺⇮1069))∼(⊺⇮6712⇆⨓≜)⫗⊷⫓(⊺⇮5984⩇∃⫛⊺⇮1775))","cot":[{"info":"⊺⇮5591⋻⩜⩜⊺⇮4724=⊺⇮11182","layer":3},{"info":"⊺⇮5965≌⊺⇮1191=NaN","layer":3},{"info":"⊺⇮11182⊮⊟↴NaN=NaN","layer":2},{"info":"⊺⇮2477∝⊺⇮1253=⊺⇮2482","layer":3},{"info":"⊺⇮5026⪉⨛⊺⇮4300=⊺⇮10993","layer":3},{"info":"⊺⇮2482≥⨤⩑⊺⇮10993=⊺⇮1234","layer":2},{"info":"NaN⪡⊺⇮1234=NaN","layer":1},{"info":"⊺⇮2987⇣⩺⋵⊺⇮2795=⊺⇮-260","layer":3},{"info":"↯⪼⊺⇮1069=⊺⇮-21","layer":3},{"info":"⊺⇮-260⨔≚≋⊺⇮-21=⊺⇮1568","layer":2},{"info":"⊺⇮6712⇆⨓≜=NaN","layer":3},{"info":"⊺⇮5984⩇∃⫛⊺⇮1775=⊺⇮-3736","layer":3},{"info":"NaN⫗⊷⫓⊺⇮-3736=⊺⇮-134","layer":2},{"info":"⊺⇮1568∼⊺⇮-134=⊺⇮0","layer":1},{"info":"NaN⊴⊺⇮0=⊺⇮-79","layer":0}]}
{"id":890,"expression_no_base_symbol":"≘(($5304$%$4053$)⫗⊷⫓(≀↧⇸$5475$)⊘)","expression":"≘((⊺⇮5304%⊺⇮4053)⫗⊷⫓(≀↧⇸⊺⇮5475)⊘)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":733,"operation_count":5,"complexity_ratio":146.6,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5304,"base":10},"right_expr":{"type":"numeric_atoms","value":4053,"base":10}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":5475,"base":10}}}}},"used_operators":["tcjXMdvYtA","gu96TGCTMs","zashukvMKz","k8jYdgA6NY","ljTHtUsqzn"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","XPYlsWDdGa","23Mk6UjR3U"],"result":"⊺⇮-262","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5304","layer":4},{"info":"number node, value=4053","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=4053, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1251","layer":3},{"info":"number node, value=5475","layer":4},{"info":"compute unary expreesion, input=5475, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=10950","layer":3},{"info":"compute binary expreesion, left_input=1251, right_input=10950, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=-262","layer":0}],"base":10,"result_base":10,"text":"≘((⊺⇮5304%⊺⇮4053)⫗⊷⫓(≀↧⇸⊺⇮5475)⊘)=⊺⇮-262","reverse_text":"⊺⇮-262=≘((⊺⇮5304%⊺⇮4053)⫗⊷⫓(≀↧⇸⊺⇮5475)⊘)","cot":[{"info":"⊺⇮5304%⊺⇮4053=⊺⇮1251","layer":3},{"info":"≀↧⇸⊺⇮5475=⊺⇮10950","layer":3},{"info":"⊺⇮1251⫗⊷⫓⊺⇮10950=⊺⇮-134","layer":2},{"info":"⊺⇮-134⊘=⊺⇮0","layer":1},{"info":"≘⊺⇮0=⊺⇮-262","layer":0}]}
{"id":891,"expression_no_base_symbol":"⪸(($1817$⊹∫⫚$2687$⨐⩸⫘$3858$∛$1494$)⨎⋸⪻)","expression":"⪸((⊺⇮1817⊹∫⫚⊺⇮2687⨐⩸⫘⊺⇮3858∛⊺⇮1494)⨎⋸⪻)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5032,"operation_count":5,"complexity_ratio":1006.4,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1817,"base":10},"right_expr":{"type":"numeric_atoms","value":2687,"base":10}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3858,"base":10},"right_expr":{"type":"numeric_atoms","value":1494,"base":10}}}}},"used_operators":["86A5ENbKR9","Dk5vyLCiGd","fu6greOZ01","uWAJUKEvyW","w2537kitQq"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","IWmyXbctLI","3ViojmjbAp","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⊺⇮-2783","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1817","layer":4},{"info":"number node, value=2687","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=2687, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-340","layer":3},{"info":"number node, value=3858","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=3858, right_input=1494, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-340, right_input=67, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-70","layer":2},{"info":"compute unary expreesion, input=-70, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=176","layer":1},{"info":"compute unary expreesion, input=176, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-2783","layer":0}],"base":10,"result_base":10,"text":"⪸((⊺⇮1817⊹∫⫚⊺⇮2687⨐⩸⫘⊺⇮3858∛⊺⇮1494)⨎⋸⪻)=⊺⇮-2783","reverse_text":"⊺⇮-2783=⪸((⊺⇮1817⊹∫⫚⊺⇮2687⨐⩸⫘⊺⇮3858∛⊺⇮1494)⨎⋸⪻)","cot":[{"info":"⊺⇮1817⊹∫⫚⊺⇮2687=⊺⇮-340","layer":3},{"info":"⊺⇮3858∛⊺⇮1494=⊺⇮67","layer":3},{"info":"⊺⇮-340⨐⩸⫘⊺⇮67=⊺⇮-70","layer":2},{"info":"⊺⇮-70⨎⋸⪻=⊺⇮176","layer":1},{"info":"⪸⊺⇮176=⊺⇮-2783","layer":0}]}
{"id":892,"expression_no_base_symbol":"(($1162$⪁$2184$)↤⩊($2523$∥⊢⊲$2494$)⩨($1011$⪪$1736$⪬∳))≠≀(⪸(⇙⪊$2903$⫣⪄⊒$3497$))","expression":"((⊺⇮1162⪁⊺⇮2184)↤⩊(⊺⇮2523∥⊢⊲⊺⇮2494)⩨(⊺⇮1011⪪⊺⇮1736⪬∳))≠≀(⪸(⇙⪊⊺⇮2903⫣⪄⊒⊺⇮3497))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":64933079,"operation_count":10,"complexity_ratio":6493307.9,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1162,"base":10},"right_expr":{"type":"numeric_atoms","value":2184,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2523,"base":10},"right_expr":{"type":"numeric_atoms","value":2494,"base":10}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1011,"base":10},"right_expr":{"type":"numeric_atoms","value":1736,"base":10}}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2903,"base":10},"right_expr":{"type":"numeric_atoms","value":3497,"base":10}}}}},"used_operators":["IwW236VD4Y","2DlMacCsIx","13rbtpv6ld","I7sXao9hZE","v1UQAVDJRr","O9U3z1385E","xD69zh8xqp","86A5ENbKR9","pB6Fcnrjim","RabNbG55vr"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","EBcxylXtPf","rGHVDoGpnC","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","FU0Cs4j7VP","JclMnS0uGI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1162","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=2184, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=2523","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=2494, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1736, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-148750","layer":3},{"info":"compute unary expreesion, input=-148750, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2903","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=2903, right_input=3497, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-15688","layer":3},{"info":"compute unary expreesion, input=-15688, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=2273","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2273, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1162⪁⊺⇮2184)↤⩊(⊺⇮2523∥⊢⊲⊺⇮2494)⩨(⊺⇮1011⪪⊺⇮1736⪬∳))≠≀(⪸(⇙⪊⊺⇮2903⫣⪄⊒⊺⇮3497))=NaN","reverse_text":"NaN=((⊺⇮1162⪁⊺⇮2184)↤⩊(⊺⇮2523∥⊢⊲⊺⇮2494)⩨(⊺⇮1011⪪⊺⇮1736⪬∳))≠≀(⪸(⇙⪊⊺⇮2903⫣⪄⊒⊺⇮3497))","cot":[{"info":"⊺⇮1162⪁⊺⇮2184=NaN","layer":3},{"info":"⊺⇮2523∥⊢⊲⊺⇮2494=NaN","layer":3},{"info":"NaN↤⩊NaN=NaN","layer":2},{"info":"⊺⇮1011⪪⊺⇮1736=⊺⇮-148750","layer":3},{"info":"⊺⇮-148750⪬∳=⊺⇮0","layer":2},{"info":"NaN⩨⊺⇮0=NaN","layer":1},{"info":"⊺⇮2903⫣⪄⊒⊺⇮3497=⊺⇮-15688","layer":3},{"info":"⇙⪊⊺⇮-15688=⊺⇮0","layer":2},{"info":"⪸⊺⇮0=⊺⇮2273","layer":1},{"info":"NaN≠≀⊺⇮2273=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"(↑((↪⫪⫘$1142$)⇡))⪮%⊝($4215$⨜⨶$4441$%($2666$⊪))≁↽≥(($1496$↢$1029$)⋹)","expression":"(↑((↪⫪⫘⊺⇮1142)⇡))⪮%⊝(⊺⇮4215⨜⨶⊺⇮4441%(⊺⇮2666⊪))≁↽≥((⊺⇮1496↢⊺⇮1029)⋹)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":391,"operation_count":10,"complexity_ratio":39.1,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1142,"base":10}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4215,"base":10},"right_expr":{"type":"numeric_atoms","value":4441,"base":10}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2666,"base":10}}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1496,"base":10},"right_expr":{"type":"numeric_atoms","value":1029,"base":10}}}}},"used_operators":["IWmyXbctLI","tR7O2zTn5j","UqFzSgLMvQ","9dWsAM3GFt","ncHt1X6cMc","k8jYdgA6NY","HiPekx5b7W","zVYPLywUTj","opAxDRczMr","WR6HLWljOP"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"compute unary expreesion, input=-2917, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=4215","layer":4},{"info":"number node, value=4441","layer":4},{"info":"compute binary expreesion, left_input=4215, right_input=4441, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-8626","layer":3},{"info":"number node, value=2666","layer":4},{"info":"compute unary expreesion, input=2666, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8626, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1496","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1496, right_input=1029, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1012","layer":3},{"info":"compute unary expreesion, input=1012, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-20, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↑((↪⫪⫘⊺⇮1142)⇡))⪮%⊝(⊺⇮4215⨜⨶⊺⇮4441%(⊺⇮2666⊪))≁↽≥((⊺⇮1496↢⊺⇮1029)⋹)=NaN","reverse_text":"NaN=(↑((↪⫪⫘⊺⇮1142)⇡))⪮%⊝(⊺⇮4215⨜⨶⊺⇮4441%(⊺⇮2666⊪))≁↽≥((⊺⇮1496↢⊺⇮1029)⋹)","cot":[{"info":"↪⫪⫘⊺⇮1142=⊺⇮20","layer":3},{"info":"⊺⇮20⇡=⊺⇮-2917","layer":2},{"info":"↑⊺⇮-2917=⊺⇮192","layer":1},{"info":"⊺⇮4215⨜⨶⊺⇮4441=⊺⇮-8626","layer":3},{"info":"⊺⇮2666⊪=⊺⇮0","layer":3},{"info":"⊺⇮-8626%⊺⇮0=NaN","layer":2},{"info":"⊺⇮1496↢⊺⇮1029=⊺⇮1012","layer":3},{"info":"⊺⇮1012⋹=⊺⇮-20","layer":2},{"info":"NaN≁↽≥⊺⇮-20=⊺⇮0","layer":1},{"info":"⊺⇮192⪮%⊝⊺⇮0=NaN","layer":0}]}
{"id":894,"expression_no_base_symbol":"⇋↷(((↩⪖$5623$)⩚⊴⇥($2647$⋅⇍$1420$))⇯⋐)","expression":"⇋↷(((↩⪖⊺⇮5623)⩚⊴⇥(⊺⇮2647⋅⇍⊺⇮1420))⇯⋐)","highest_n_order":1,"priority_hierarchical_complexity":5,"normalized_expansion_degree":58,"operation_count":5,"complexity_ratio":11.6,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":5623,"base":10}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2647,"base":10},"right_expr":{"type":"numeric_atoms","value":1420,"base":10}}}}},"used_operators":["SWo3A1KBJH","LkLIoiE525","NTOWxs364D","fG6uBQFnGz","AdZkA7nFnk"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⊺⇮885928","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5623","layer":4},{"info":"compute unary expreesion, input=5623, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-36720","layer":3},{"info":"number node, value=2647","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=1420, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-36720, right_input=-22, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=36621","layer":2},{"info":"compute unary expreesion, input=36621, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=110741","layer":1},{"info":"compute unary expreesion, input=110741, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=885928","layer":0}],"base":10,"result_base":10,"text":"⇋↷(((↩⪖⊺⇮5623)⩚⊴⇥(⊺⇮2647⋅⇍⊺⇮1420))⇯⋐)=⊺⇮885928","reverse_text":"⊺⇮885928=⇋↷(((↩⪖⊺⇮5623)⩚⊴⇥(⊺⇮2647⋅⇍⊺⇮1420))⇯⋐)","cot":[{"info":"↩⪖⊺⇮5623=⊺⇮-36720","layer":3},{"info":"⊺⇮2647⋅⇍⊺⇮1420=⊺⇮-22","layer":3},{"info":"⊺⇮-36720⩚⊴⇥⊺⇮-22=⊺⇮36621","layer":2},{"info":"⊺⇮36621⇯⋐=⊺⇮110741","layer":1},{"info":"⇋↷⊺⇮110741=⊺⇮885928","layer":0}]}
{"id":895,"expression_no_base_symbol":"($1199$⇻⋧≁$8111$)⇡⇂($4103$∽$1236$)∴($2532$⋹⋡⊁$3215$⋆⋳)↸(($1930$⫥∨⫟$7082$)⨲∙)≌($6492$∴$6989$)⇻⋧≁($7396$⨸⪁$8150$)","expression":"(⊺⇮1199⇻⋧≁⊺⇮8111)⇡⇂(⊺⇮4103∽⊺⇮1236)∴(⊺⇮2532⋹⋡⊁⊺⇮3215⋆⋳)↸((⊺⇮1930⫥∨⫟⊺⇮7082)⨲∙)≌(⊺⇮6492∴⊺⇮6989)⇻⋧≁(⊺⇮7396⨸⪁⊺⇮8150)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":726761,"operation_count":13,"complexity_ratio":55904.692307692305,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1199,"base":10},"right_expr":{"type":"numeric_atoms","value":8111,"base":10}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4103,"base":10},"right_expr":{"type":"numeric_atoms","value":1236,"base":10}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2532,"base":10},"right_expr":{"type":"numeric_atoms","value":3215,"base":10}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1930,"base":10},"right_expr":{"type":"numeric_atoms","value":7082,"base":10}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":6492,"base":10},"right_expr":{"type":"numeric_atoms","value":6989,"base":10}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7396,"base":10},"right_expr":{"type":"numeric_atoms","value":8150,"base":10}}}}},"used_operators":["1eCjFl0mb9","hrf7POJlIJ","UMwdvZNt44","jCPkEVoL5K","y4ImoPnbV5","6MpZysEj17","As8RqfVLgs","lyWz822IDG","cRahaglYVE","KYD54nUTWz","g55IO6H4Gj"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","QMFrweE19q","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe"],"result":"⊺⇮2548","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":4},{"info":"number node, value=8111","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=8111, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=4103","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=4103, right_input=1236, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-24045","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-24045, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=450","layer":2},{"info":"number node, value=2532","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=3215, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3965","layer":3},{"info":"compute unary expreesion, input=3965, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-7962","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=-7962, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=2548","layer":1},{"info":"number node, value=1930","layer":4},{"info":"number node, value=7082","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=7082, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"number node, value=6492","layer":4},{"info":"number node, value=6989","layer":4},{"info":"compute binary expreesion, left_input=6492, right_input=6989, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=14632","layer":3},{"info":"number node, value=7396","layer":4},{"info":"number node, value=8150","layer":4},{"info":"compute binary expreesion, left_input=7396, right_input=8150, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=31092","layer":3},{"info":"compute binary expreesion, left_input=14632, right_input=31092, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=7280","layer":1},{"info":"compute binary expreesion, left_input=2548, right_input=7280, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2548","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1199⇻⋧≁⊺⇮8111)⇡⇂(⊺⇮4103∽⊺⇮1236)∴(⊺⇮2532⋹⋡⊁⊺⇮3215⋆⋳)↸((⊺⇮1930⫥∨⫟⊺⇮7082)⨲∙)≌(⊺⇮6492∴⊺⇮6989)⇻⋧≁(⊺⇮7396⨸⪁⊺⇮8150)=⊺⇮2548","reverse_text":"⊺⇮2548=(⊺⇮1199⇻⋧≁⊺⇮8111)⇡⇂(⊺⇮4103∽⊺⇮1236)∴(⊺⇮2532⋹⋡⊁⊺⇮3215⋆⋳)↸((⊺⇮1930⫥∨⫟⊺⇮7082)⨲∙)≌(⊺⇮6492∴⊺⇮6989)⇻⋧≁(⊺⇮7396⨸⪁⊺⇮8150)","cot":[{"info":"⊺⇮1199⇻⋧≁⊺⇮8111=⊺⇮-447","layer":3},{"info":"⊺⇮4103∽⊺⇮1236=⊺⇮-24045","layer":3},{"info":"⊺⇮-447⇡⇂⊺⇮-24045=⊺⇮450","layer":2},{"info":"⊺⇮2532⋹⋡⊁⊺⇮3215=⊺⇮3965","layer":3},{"info":"⊺⇮3965⋆⋳=⊺⇮-7962","layer":2},{"info":"⊺⇮450∴⊺⇮-7962=⊺⇮2548","layer":1},{"info":"⊺⇮1930⫥∨⫟⊺⇮7082=NaN","layer":3},{"info":"NaN⨲∙=NaN","layer":2},{"info":"⊺⇮6492∴⊺⇮6989=⊺⇮14632","layer":3},{"info":"⊺⇮7396⨸⪁⊺⇮8150=⊺⇮31092","layer":3},{"info":"⊺⇮14632⇻⋧≁⊺⇮31092=⊺⇮-447","layer":2},{"info":"NaN≌⊺⇮-447=⊺⇮7280","layer":1},{"info":"⊺⇮2548↸⊺⇮7280=⊺⇮2548","layer":0}]}
{"id":896,"expression_no_base_symbol":"(($2592$⇣⩺⋵$2103$)⪪($8649$⪁$2461$))∋(⪸($1911$⇌⫙⪟$4250$))⋳⪒(↥$1388$⩚⊴⇥$3854$)⋓(⊁⨺($5618$≥⨤⩑$6966$))","expression":"((⊺⇮2592⇣⩺⋵⊺⇮2103)⪪(⊺⇮8649⪁⊺⇮2461))∋(⪸(⊺⇮1911⇌⫙⪟⊺⇮4250))⋳⪒(↥⊺⇮1388⩚⊴⇥⊺⇮3854)⋓(⊁⨺(⊺⇮5618≥⨤⩑⊺⇮6966))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":81877874,"operation_count":12,"complexity_ratio":6823156.166666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2592,"base":10},"right_expr":{"type":"numeric_atoms","value":2103,"base":10}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":8649,"base":10},"right_expr":{"type":"numeric_atoms","value":2461,"base":10}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1911,"base":10},"right_expr":{"type":"numeric_atoms","value":4250,"base":10}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1388,"base":10},"right_expr":{"type":"numeric_atoms","value":3854,"base":10}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5618,"base":10},"right_expr":{"type":"numeric_atoms","value":6966,"base":10}}}}},"used_operators":["12rbrZMWeM","ukq6epAj5P","xD69zh8xqp","F4yD0voBRQ","I7sXao9hZE","86A5ENbKR9","AFVx7xoS7T","T2fj7uvVaJ","A8NUZmVepG","NTOWxs364D","PxiHyQbrIp","gJLn6v0xnP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"⊺⇮-59887","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2592","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=2103, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=8649","layer":4},{"info":"number node, value=2461","layer":4},{"info":"compute binary expreesion, left_input=8649, right_input=2461, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=1911","layer":4},{"info":"number node, value=4250","layer":4},{"info":"compute binary expreesion, left_input=1911, right_input=4250, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-1712","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=-1712, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-29800","layer":1},{"info":"number node, value=1388","layer":4},{"info":"number node, value=3854","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=3854, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5363","layer":3},{"info":"compute unary expreesion, input=-5363, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":2},{"info":"number node, value=5618","layer":4},{"info":"number node, value=6966","layer":4},{"info":"compute binary expreesion, left_input=5618, right_input=6966, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=43, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-29800, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-59887","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2592⇣⩺⋵⊺⇮2103)⪪(⊺⇮8649⪁⊺⇮2461))∋(⪸(⊺⇮1911⇌⫙⪟⊺⇮4250))⋳⪒(↥⊺⇮1388⩚⊴⇥⊺⇮3854)⋓(⊁⨺(⊺⇮5618≥⨤⩑⊺⇮6966))=⊺⇮-59887","reverse_text":"⊺⇮-59887=((⊺⇮2592⇣⩺⋵⊺⇮2103)⪪(⊺⇮8649⪁⊺⇮2461))∋(⪸(⊺⇮1911⇌⫙⪟⊺⇮4250))⋳⪒(↥⊺⇮1388⩚⊴⇥⊺⇮3854)⋓(⊁⨺(⊺⇮5618≥⨤⩑⊺⇮6966))","cot":[{"info":"⊺⇮2592⇣⩺⋵⊺⇮2103=⊺⇮-260","layer":3},{"info":"⊺⇮8649⪁⊺⇮2461=NaN","layer":3},{"info":"⊺⇮-260⪪NaN=⊺⇮-6206","layer":2},{"info":"⊺⇮1911⇌⫙⪟⊺⇮4250=⊺⇮113","layer":3},{"info":"⪸⊺⇮113=⊺⇮-1712","layer":2},{"info":"⊺⇮-6206∋⊺⇮-1712=⊺⇮-29800","layer":1},{"info":"⊺⇮1388⩚⊴⇥⊺⇮3854=⊺⇮-5363","layer":3},{"info":"↥⊺⇮-5363=⊺⇮43","layer":2},{"info":"⊺⇮5618≥⨤⩑⊺⇮6966=⊺⇮1234","layer":3},{"info":"⊁⨺⊺⇮1234=⊺⇮160","layer":2},{"info":"⊺⇮43⋓⊺⇮160=⊺⇮0","layer":1},{"info":"⊺⇮-29800⋳⪒⊺⇮0=⊺⇮-59887","layer":0}]}
{"id":897,"expression_no_base_symbol":"(($4381$/$2007$)⪐)⩘($1454$⪔$2100$)∺≝⩲$1339$≁$1125$⨑≵⋬((($7842$↬$1187$)⫏⊷)∽($4254$⋖∅⋲)%$4516$⪢$2734$)","expression":"((⊺⇮4381/⊺⇮2007)⪐)⩘(⊺⇮1454⪔⊺⇮2100)∺≝⩲⊺⇮1339≁⊺⇮1125⨑≵⋬(((⊺⇮7842↬⊺⇮1187)⫏⊷)∽(⊺⇮4254⋖∅⋲)%⊺⇮4516⪢⊺⇮2734)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6933,"operation_count":13,"complexity_ratio":533.3076923076923,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4381,"base":10},"right_expr":{"type":"numeric_atoms","value":2007,"base":10}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1454,"base":10},"right_expr":{"type":"numeric_atoms","value":2100,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1339,"base":10},"right_expr":{"type":"numeric_atoms","value":1125,"base":10}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7842,"base":10},"right_expr":{"type":"numeric_atoms","value":1187,"base":10}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":4254,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4516,"base":10},"right_expr":{"type":"numeric_atoms","value":2734,"base":10}}}}},"used_operators":["XnXgA4xnOs","cHh1gJQ2o6","eH2TOUuTDT","XhwjNDsVaA","KPf6cnQVty","GjBEYRfMaF","8N2wDY1A35","y4ImoPnbV5","dcShxvzhyw","B5M0gjZbta","k8jYdgA6NY","L95AwlJzhO","dWAJyo7jo9"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","NTOWxs364D","QMFrweE19q","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","rGHVDoGpnC","rysDP5nf3Z","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4381","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=4381, right_input=2007, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4","layer":2},{"info":"number node, value=1454","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=2100, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1339","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=1125, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=13799","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=13799, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=4, right_input=160, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=7842","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=7842, right_input=1187, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":2},{"info":"number node, value=4254","layer":4},{"info":"compute unary expreesion, input=4254, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=4516","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=4516, right_input=2734, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4381/⊺⇮2007)⪐)⩘(⊺⇮1454⪔⊺⇮2100)∺≝⩲⊺⇮1339≁⊺⇮1125⨑≵⋬(((⊺⇮7842↬⊺⇮1187)⫏⊷)∽(⊺⇮4254⋖∅⋲)%⊺⇮4516⪢⊺⇮2734)=NaN","reverse_text":"NaN=((⊺⇮4381/⊺⇮2007)⪐)⩘(⊺⇮1454⪔⊺⇮2100)∺≝⩲⊺⇮1339≁⊺⇮1125⨑≵⋬(((⊺⇮7842↬⊺⇮1187)⫏⊷)∽(⊺⇮4254⋖∅⋲)%⊺⇮4516⪢⊺⇮2734)","cot":[{"info":"⊺⇮4381/⊺⇮2007=⊺⇮2","layer":3},{"info":"⊺⇮2⪐=⊺⇮4","layer":2},{"info":"⊺⇮1454⪔⊺⇮2100=⊺⇮450","layer":3},{"info":"⊺⇮1339≁⊺⇮1125=⊺⇮13799","layer":3},{"info":"⊺⇮450∺≝⩲⊺⇮13799=⊺⇮160","layer":2},{"info":"⊺⇮4⩘⊺⇮160=⊺⇮160","layer":1},{"info":"⊺⇮7842↬⊺⇮1187=NaN","layer":3},{"info":"NaN⫏⊷=NaN","layer":2},{"info":"⊺⇮4254⋖∅⋲=⊺⇮-384231","layer":3},{"info":"⊺⇮4516⪢⊺⇮2734=NaN","layer":3},{"info":"⊺⇮-384231%NaN=NaN","layer":2},{"info":"NaN∽NaN=NaN","layer":1},{"info":"⊺⇮160⨑≵⋬NaN=NaN","layer":0}]}
{"id":898,"expression_no_base_symbol":"((($1710$⪹)*$3297$⩌⋺$5390$)⩚⊴⇥(⋗⩬⋾($3141$≀⩗∶$1687$)))⊔($1804$⪶≀⋏$3299$⪨⊡(⫟$2270$))⩇∃⫛((↽≂$4315$)∽(⨭⩧⫛$2130$))","expression":"(((⊺⇮1710⪹)*⊺⇮3297⩌⋺⊺⇮5390)⩚⊴⇥(⋗⩬⋾(⊺⇮3141≀⩗∶⊺⇮1687)))⊔(⊺⇮1804⪶≀⋏⊺⇮3299⪨⊡(⫟⊺⇮2270))⩇∃⫛((↽≂⊺⇮4315)∽(⨭⩧⫛⊺⇮2130))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8107,"operation_count":14,"complexity_ratio":579.0714285714286,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1710,"base":10}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3297,"base":10},"right_expr":{"type":"numeric_atoms","value":5390,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3141,"base":10},"right_expr":{"type":"numeric_atoms","value":1687,"base":10}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1804,"base":10},"right_expr":{"type":"numeric_atoms","value":3299,"base":10}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2270,"base":10}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4315,"base":10}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2130,"base":10}}}}},"used_operators":["E4l6HwMY31","NTOWxs364D","9HNa5Wba9A","B3sABdIn96","g7Hmc5v1ko","DpFCA1CohY","8INZBEW696","1aApVXNlOP","kuIXHzHcAH","zR4jO40bMj","z4E1FaHLuy","y4ImoPnbV5","u6S6b8DprG","g21JL6JxX7"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1710","layer":4},{"info":"compute unary expreesion, input=1710, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=7912","layer":3},{"info":"number node, value=3297","layer":4},{"info":"number node, value=5390","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=5390, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8808","layer":3},{"info":"compute binary expreesion, left_input=7912, right_input=-8808, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-69688896","layer":2},{"info":"number node, value=3141","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=1687, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-69688896, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=69688775","layer":1},{"info":"number node, value=1804","layer":4},{"info":"number node, value=3299","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=3299, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12242","layer":3},{"info":"number node, value=2270","layer":4},{"info":"compute unary expreesion, input=2270, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-5903","layer":3},{"info":"compute binary expreesion, left_input=-12242, right_input=-5903, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=24401","layer":2},{"info":"number node, value=4315","layer":4},{"info":"compute unary expreesion, input=4315, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8630","layer":3},{"info":"number node, value=2130","layer":4},{"info":"compute unary expreesion, input=2130, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8630, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=24401, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=69688775, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1710⪹)*⊺⇮3297⩌⋺⊺⇮5390)⩚⊴⇥(⋗⩬⋾(⊺⇮3141≀⩗∶⊺⇮1687)))⊔(⊺⇮1804⪶≀⋏⊺⇮3299⪨⊡(⫟⊺⇮2270))⩇∃⫛((↽≂⊺⇮4315)∽(⨭⩧⫛⊺⇮2130))=NaN","reverse_text":"NaN=(((⊺⇮1710⪹)*⊺⇮3297⩌⋺⊺⇮5390)⩚⊴⇥(⋗⩬⋾(⊺⇮3141≀⩗∶⊺⇮1687)))⊔(⊺⇮1804⪶≀⋏⊺⇮3299⪨⊡(⫟⊺⇮2270))⩇∃⫛((↽≂⊺⇮4315)∽(⨭⩧⫛⊺⇮2130))","cot":[{"info":"⊺⇮1710⪹=⊺⇮7912","layer":3},{"info":"⊺⇮3297⩌⋺⊺⇮5390=⊺⇮-8808","layer":3},{"info":"⊺⇮7912*⊺⇮-8808=⊺⇮-69688896","layer":2},{"info":"⊺⇮3141≀⩗∶⊺⇮1687=⊺⇮0","layer":3},{"info":"⋗⩬⋾⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-69688896⩚⊴⇥⊺⇮0=⊺⇮69688775","layer":1},{"info":"⊺⇮1804⪶≀⋏⊺⇮3299=⊺⇮-12242","layer":3},{"info":"⫟⊺⇮2270=⊺⇮-5903","layer":3},{"info":"⊺⇮-12242⪨⊡⊺⇮-5903=⊺⇮24401","layer":2},{"info":"↽≂⊺⇮4315=⊺⇮-8630","layer":3},{"info":"⨭⩧⫛⊺⇮2130=NaN","layer":3},{"info":"⊺⇮-8630∽NaN=NaN","layer":2},{"info":"⊺⇮24401⩇∃⫛NaN=NaN","layer":1},{"info":"⊺⇮69688775⊔NaN=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"((⇖$1817$)⪒⊣⊆(⊿$1106$)⨲)⫥∨⫟((⇘($4349$↳∿⪆$3319$))⪄(⩦⩻⨪$1090$)⫰⋱$3052$⊋≦⊧$1100$)","expression":"((⇖⊺⇮1817)⪒⊣⊆(⊿⊺⇮1106)⨲)⫥∨⫟((⇘(⊺⇮4349↳∿⪆⊺⇮3319))⪄(⩦⩻⨪⊺⇮1090)⫰⋱⊺⇮3052⊋≦⊧⊺⇮1100)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49003,"operation_count":11,"complexity_ratio":4454.818181818182,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1817,"base":10}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1106,"base":10}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4349,"base":10},"right_expr":{"type":"numeric_atoms","value":3319,"base":10}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1090,"base":10}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3052,"base":10},"right_expr":{"type":"numeric_atoms","value":1100,"base":10}}}}},"used_operators":["KYD54nUTWz","nLYMGWM7L8","eRqsBgTDFp","tfWHHpNKUN","DO4fhlbJSI","SUmda5xLS4","MGuIdZPyUC","Cw4SuJJGHO","6o9Blt3TJ6","2td37pGCOC","oRDoc9rAEX"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","sdazOOVcIp","W4YGzv6Whe","2DQ55sFlQl","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5162","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5162, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=320","layer":2},{"info":"compute unary expreesion, input=320, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=52605709","layer":1},{"info":"number node, value=4349","layer":4},{"info":"number node, value=3319","layer":4},{"info":"compute binary expreesion, left_input=4349, right_input=3319, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":2},{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1090","layer":3},{"info":"number node, value=3052","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=1100, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-1960","layer":3},{"info":"compute binary expreesion, left_input=1090, right_input=-1960, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=937","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=937, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=52605709, right_input=3979, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⇖⊺⇮1817)⪒⊣⊆(⊿⊺⇮1106)⨲)⫥∨⫟((⇘(⊺⇮4349↳∿⪆⊺⇮3319))⪄(⩦⩻⨪⊺⇮1090)⫰⋱⊺⇮3052⊋≦⊧⊺⇮1100)=NaN","reverse_text":"NaN=((⇖⊺⇮1817)⪒⊣⊆(⊿⊺⇮1106)⨲)⫥∨⫟((⇘(⊺⇮4349↳∿⪆⊺⇮3319))⪄(⩦⩻⨪⊺⇮1090)⫰⋱⊺⇮3052⊋≦⊧⊺⇮1100)","cot":[{"info":"⇖⊺⇮1817=⊺⇮160","layer":3},{"info":"⊿⊺⇮1106=⊺⇮-5162","layer":3},{"info":"⊺⇮160⪒⊣⊆⊺⇮-5162=⊺⇮320","layer":2},{"info":"⊺⇮320⨲=⊺⇮52605709","layer":1},{"info":"⊺⇮4349↳∿⪆⊺⇮3319=NaN","layer":3},{"info":"⇘NaN=NaN","layer":2},{"info":"⩦⩻⨪⊺⇮1090=⊺⇮1090","layer":3},{"info":"⊺⇮3052⊋≦⊧⊺⇮1100=⊺⇮-1960","layer":3},{"info":"⊺⇮1090⫰⋱⊺⇮-1960=⊺⇮937","layer":2},{"info":"NaN⪄⊺⇮937=⊺⇮3979","layer":1},{"info":"⊺⇮52605709⫥∨⫟⊺⇮3979=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"(⨵≀≌$1650$≌$1461$)⊉↱≁($6467$⇴$1377$⨽($1654$⪨≂$2611$))↡⊰⫅(⋠∜($1125$∙⊟$3602$))⫁⪎(($2870$⨒$1146$)⪘⫢($1138$-$4246$))","expression":"(⨵≀≌⊺⇮1650≌⊺⇮1461)⊉↱≁(⊺⇮6467⇴⊺⇮1377⨽(⊺⇮1654⪨≂⊺⇮2611))↡⊰⫅(⋠∜(⊺⇮1125∙⊟⊺⇮3602))⫁⪎((⊺⇮2870⨒⊺⇮1146)⪘⫢(⊺⇮1138-⊺⇮4246))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1446454,"operation_count":13,"complexity_ratio":111265.69230769231,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1650,"base":10},"right_expr":{"type":"numeric_atoms","value":1461,"base":10}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":6467,"base":10},"right_expr":{"type":"numeric_atoms","value":1377,"base":10}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1654,"base":10},"right_expr":{"type":"numeric_atoms","value":2611,"base":10}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1125,"base":10},"right_expr":{"type":"numeric_atoms","value":3602,"base":10}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2870,"base":10},"right_expr":{"type":"numeric_atoms","value":1146,"base":10}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1138,"base":10},"right_expr":{"type":"numeric_atoms","value":4246,"base":10}}}}},"used_operators":["VCtxkLNOzz","w2P8NbNXyL","srAu1WTS94","lyWz822IDG","8HhzD0ZcuI","4JB6nKBMSY","sdazOOVcIp","xRrnTEsQ6j","ZJpFhNJr3x","SxTAKzQCrw","oacrs7FA3X","y75s1iXyHd","rysDP5nf3Z"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⊺⇮200338","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1650","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=1461, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=6467","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=6467, right_input=1377, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=41170","layer":3},{"info":"number node, value=1654","layer":4},{"info":"number node, value=2611","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=2611, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1812","layer":3},{"info":"compute binary expreesion, left_input=41170, right_input=-1812, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"number node, value=1125","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=3602, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=24471","layer":3},{"info":"compute unary expreesion, input=24471, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=100168","layer":2},{"info":"number node, value=2870","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=1146, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-16848","layer":3},{"info":"number node, value=1138","layer":4},{"info":"number node, value=4246","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=4246, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3108","layer":3},{"info":"compute binary expreesion, left_input=-16848, right_input=-3108, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=100168, right_input=-1, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=100169","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=100169, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=200338","layer":0}],"base":10,"result_base":10,"text":"(⨵≀≌⊺⇮1650≌⊺⇮1461)⊉↱≁(⊺⇮6467⇴⊺⇮1377⨽(⊺⇮1654⪨≂⊺⇮2611))↡⊰⫅(⋠∜(⊺⇮1125∙⊟⊺⇮3602))⫁⪎((⊺⇮2870⨒⊺⇮1146)⪘⫢(⊺⇮1138-⊺⇮4246))=⊺⇮200338","reverse_text":"⊺⇮200338=(⨵≀≌⊺⇮1650≌⊺⇮1461)⊉↱≁(⊺⇮6467⇴⊺⇮1377⨽(⊺⇮1654⪨≂⊺⇮2611))↡⊰⫅(⋠∜(⊺⇮1125∙⊟⊺⇮3602))⫁⪎((⊺⇮2870⨒⊺⇮1146)⪘⫢(⊺⇮1138-⊺⇮4246))","cot":[{"info":"⊺⇮1650≌⊺⇮1461=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⊺⇮6467⇴⊺⇮1377=⊺⇮41170","layer":3},{"info":"⊺⇮1654⪨≂⊺⇮2611=⊺⇮-1812","layer":3},{"info":"⊺⇮41170⨽⊺⇮-1812=-Inf","layer":2},{"info":"NaN⊉↱≁-Inf=NaN","layer":1},{"info":"⊺⇮1125∙⊟⊺⇮3602=⊺⇮24471","layer":3},{"info":"⋠∜⊺⇮24471=⊺⇮100168","layer":2},{"info":"⊺⇮2870⨒⊺⇮1146=⊺⇮-16848","layer":3},{"info":"⊺⇮1138-⊺⇮4246=⊺⇮-3108","layer":3},{"info":"⊺⇮-16848⪘⫢⊺⇮-3108=⊺⇮-1","layer":2},{"info":"⊺⇮100168⫁⪎⊺⇮-1=⊺⇮100169","layer":1},{"info":"NaN↡⊰⫅⊺⇮100169=⊺⇮200338","layer":0}]}
{"id":901,"expression_no_base_symbol":"(⇉-⫰$1210$)⪬($4348$⨎$4692$)∺≝⩲(⨰⫟⨤$1351$↹⊜$1478$)⨚(($2510$⩖⊿$1667$≀⩗∶(→⩰$1633$))≃((⪓⩚$2890$)⊨($3972$⪨⊡$2434$)))","expression":"(⇉-⫰⊺⇮1210)⪬(⊺⇮4348⨎⊺⇮4692)∺≝⩲(⨰⫟⨤⊺⇮1351↹⊜⊺⇮1478)⨚((⊺⇮2510⩖⊿⊺⇮1667≀⩗∶(→⩰⊺⇮1633))≃((⪓⩚⊺⇮2890)⊨(⊺⇮3972⪨⊡⊺⇮2434)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20205,"operation_count":14,"complexity_ratio":1443.2142857142858,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1210,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4348,"base":10},"right_expr":{"type":"numeric_atoms","value":4692,"base":10}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1351,"base":10},"right_expr":{"type":"numeric_atoms","value":1478,"base":10}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2510,"base":10},"right_expr":{"type":"numeric_atoms","value":1667,"base":10}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1633,"base":10}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2890,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3972,"base":10},"right_expr":{"type":"numeric_atoms","value":2434,"base":10}}}}},"used_operators":["nREPSIbpBE","KPf6cnQVty","Ez1Nq5fNfI","IGFM8TAlm9","rJVOvQCfKK","Tw270M8GLb","9bazX3JMtO","YbVcJGFEVW","8INZBEW696","RZ5CV9rWsJ","o8Pngz0Tml","vg4gO5BX6G","u0R0Locfp2","kuIXHzHcAH"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eH2TOUuTDT","eewbuw0ToL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=4348","layer":4},{"info":"number node, value=4692","layer":4},{"info":"compute binary expreesion, left_input=4348, right_input=4692, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4692","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=4692, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1351","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=1478, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-3306","layer":3},{"info":"compute unary expreesion, input=-3306, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=2510","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=1667, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=3214","layer":3},{"info":"number node, value=1633","layer":4},{"info":"compute unary expreesion, input=1633, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3214, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"number node, value=2890","layer":4},{"info":"compute unary expreesion, input=2890, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=3972","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=3972, right_input=2434, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=2735","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2735, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⇉-⫰⊺⇮1210)⪬(⊺⇮4348⨎⊺⇮4692)∺≝⩲(⨰⫟⨤⊺⇮1351↹⊜⊺⇮1478)⨚((⊺⇮2510⩖⊿⊺⇮1667≀⩗∶(→⩰⊺⇮1633))≃((⪓⩚⊺⇮2890)⊨(⊺⇮3972⪨⊡⊺⇮2434)))=NaN","reverse_text":"NaN=(⇉-⫰⊺⇮1210)⪬(⊺⇮4348⨎⊺⇮4692)∺≝⩲(⨰⫟⨤⊺⇮1351↹⊜⊺⇮1478)⨚((⊺⇮2510⩖⊿⊺⇮1667≀⩗∶(→⩰⊺⇮1633))≃((⪓⩚⊺⇮2890)⊨(⊺⇮3972⪨⊡⊺⇮2434)))","cot":[{"info":"⇉-⫰⊺⇮1210=⊺⇮20","layer":3},{"info":"⊺⇮4348⨎⊺⇮4692=⊺⇮4692","layer":3},{"info":"⊺⇮20⪬⊺⇮4692=⊺⇮1234","layer":2},{"info":"⊺⇮1351↹⊜⊺⇮1478=⊺⇮-3306","layer":3},{"info":"⨰⫟⨤⊺⇮-3306=NaN","layer":2},{"info":"⊺⇮1234∺≝⩲NaN=⊺⇮160","layer":1},{"info":"⊺⇮2510⩖⊿⊺⇮1667=⊺⇮3214","layer":3},{"info":"→⩰⊺⇮1633=NaN","layer":3},{"info":"⊺⇮3214≀⩗∶NaN=NaN","layer":2},{"info":"⪓⩚⊺⇮2890=⊺⇮426","layer":3},{"info":"⊺⇮3972⪨⊡⊺⇮2434=⊺⇮0","layer":3},{"info":"⊺⇮426⊨⊺⇮0=⊺⇮2735","layer":2},{"info":"NaN≃⊺⇮2735=NaN","layer":1},{"info":"⊺⇮160⨚NaN=NaN","layer":0}]}
{"id":902,"expression_no_base_symbol":"(⨩∲⋌($1925$≦↸$4706$⨫⇇↔($5062$⫸⊐$4928$)))⨳⩥⨓((→⩰$1401$)⨰($5799$↪⪝))≄⊠($1972$⩒⫫$2206$⫢⨠($2037$⫏⊷))","expression":"(⨩∲⋌(⊺⇮1925≦↸⊺⇮4706⨫⇇↔(⊺⇮5062⫸⊐⊺⇮4928)))⨳⩥⨓((→⩰⊺⇮1401)⨰(⊺⇮5799↪⪝))≄⊠(⊺⇮1972⩒⫫⊺⇮2206⫢⨠(⊺⇮2037⫏⊷))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9017,"operation_count":12,"complexity_ratio":751.4166666666666,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1925,"base":10},"right_expr":{"type":"numeric_atoms","value":4706,"base":10}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5062,"base":10},"right_expr":{"type":"numeric_atoms","value":4928,"base":10}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1401,"base":10}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":5799,"base":10}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1972,"base":10},"right_expr":{"type":"numeric_atoms","value":2206,"base":10}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":2037,"base":10}}}}},"used_operators":["nCS4ZIUYfx","aSik1wnThz","LXhwmt4mBO","RygbFNSyEJ","mqXw5SEYmG","vXNesLlMH1","eewbuw0ToL","o8Pngz0Tml","l07mrZUIn9","xlXykHWxX1","KFSx94NKJn","dcShxvzhyw"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9HNa5Wba9A","2DDjHMKMc0","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8"],"result":"⊺⇮1790","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"number node, value=4706","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=4706, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12581","layer":3},{"info":"number node, value=5062","layer":4},{"info":"number node, value=4928","layer":4},{"info":"compute binary expreesion, left_input=5062, right_input=4928, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19587","layer":3},{"info":"compute binary expreesion, left_input=-12581, right_input=19587, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-290","layer":1},{"info":"number node, value=1401","layer":4},{"info":"compute unary expreesion, input=1401, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=5799","layer":4},{"info":"compute unary expreesion, input=5799, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=354794418","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=354794418, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1972","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=2206, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1670","layer":3},{"info":"number node, value=2037","layer":4},{"info":"compute unary expreesion, input=2037, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=1670, right_input=-820, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=-290, right_input=1500, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1790","layer":0}],"base":10,"result_base":10,"text":"(⨩∲⋌(⊺⇮1925≦↸⊺⇮4706⨫⇇↔(⊺⇮5062⫸⊐⊺⇮4928)))⨳⩥⨓((→⩰⊺⇮1401)⨰(⊺⇮5799↪⪝))≄⊠(⊺⇮1972⩒⫫⊺⇮2206⫢⨠(⊺⇮2037⫏⊷))=⊺⇮1790","reverse_text":"⊺⇮1790=(⨩∲⋌(⊺⇮1925≦↸⊺⇮4706⨫⇇↔(⊺⇮5062⫸⊐⊺⇮4928)))⨳⩥⨓((→⩰⊺⇮1401)⨰(⊺⇮5799↪⪝))≄⊠(⊺⇮1972⩒⫫⊺⇮2206⫢⨠(⊺⇮2037⫏⊷))","cot":[{"info":"⊺⇮1925≦↸⊺⇮4706=⊺⇮-12581","layer":3},{"info":"⊺⇮5062⫸⊐⊺⇮4928=⊺⇮19587","layer":3},{"info":"⊺⇮-12581⨫⇇↔⊺⇮19587=⊺⇮-527","layer":2},{"info":"⨩∲⋌⊺⇮-527=⊺⇮-290","layer":1},{"info":"→⩰⊺⇮1401=NaN","layer":3},{"info":"⊺⇮5799↪⪝=⊺⇮354794418","layer":3},{"info":"NaN⨰⊺⇮354794418=NaN","layer":2},{"info":"⊺⇮1972⩒⫫⊺⇮2206=⊺⇮1670","layer":3},{"info":"⊺⇮2037⫏⊷=⊺⇮-820","layer":3},{"info":"⊺⇮1670⫢⨠⊺⇮-820=⊺⇮160","layer":2},{"info":"NaN≄⊠⊺⇮160=⊺⇮1500","layer":1},{"info":"⊺⇮-290⨳⩥⨓⊺⇮1500=⊺⇮1790","layer":0}]}
{"id":903,"expression_no_base_symbol":"(⋼∭⪍$1272$⩼⇪↪$5750$)⨐⩸⫘($1469$∙∹∝$2498$⊭↱(⪁⇼$3660$))⪉⨛(≛($1439$⪉⨛$6459$)⊨$4974$⊉↱≁$2042$)","expression":"(⋼∭⪍⊺⇮1272⩼⇪↪⊺⇮5750)⨐⩸⫘(⊺⇮1469∙∹∝⊺⇮2498⊭↱(⪁⇼⊺⇮3660))⪉⨛(≛(⊺⇮1439⪉⨛⊺⇮6459)⊨⊺⇮4974⊉↱≁⊺⇮2042)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":726047,"operation_count":11,"complexity_ratio":66004.27272727272,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1272,"base":10},"right_expr":{"type":"numeric_atoms","value":5750,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1469,"base":10},"right_expr":{"type":"numeric_atoms","value":2498,"base":10}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":3660,"base":10}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1439,"base":10},"right_expr":{"type":"numeric_atoms","value":6459,"base":10}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4974,"base":10},"right_expr":{"type":"numeric_atoms","value":2042,"base":10}}}}},"used_operators":["EWw2JM7wp4","fu6greOZ01","DbCuESL50I","ocnLzx9CaJ","COABgblf1C","HmxsFra2vL","ZNVVrZ94lY","W7eaUhjymW","vg4gO5BX6G","w2P8NbNXyL"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","3ViojmjbAp","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⊺⇮-586","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"number node, value=5750","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=5750, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-38489","layer":3},{"info":"compute unary expreesion, input=-38489, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-230832","layer":2},{"info":"number node, value=1469","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=2498, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3660","layer":4},{"info":"compute unary expreesion, input=3660, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=422, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=849","layer":2},{"info":"compute binary expreesion, left_input=-230832, right_input=849, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-852","layer":1},{"info":"number node, value=1439","layer":4},{"info":"number node, value=6459","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=6459, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1927","layer":3},{"info":"number node, value=4974","layer":4},{"info":"number node, value=2042","layer":4},{"info":"compute binary expreesion, left_input=4974, right_input=2042, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=37436","layer":3},{"info":"compute binary expreesion, left_input=-1927, right_input=37436, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-585","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=-585, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-586","layer":0}],"base":10,"result_base":10,"text":"(⋼∭⪍⊺⇮1272⩼⇪↪⊺⇮5750)⨐⩸⫘(⊺⇮1469∙∹∝⊺⇮2498⊭↱(⪁⇼⊺⇮3660))⪉⨛(≛(⊺⇮1439⪉⨛⊺⇮6459)⊨⊺⇮4974⊉↱≁⊺⇮2042)=⊺⇮-586","reverse_text":"⊺⇮-586=(⋼∭⪍⊺⇮1272⩼⇪↪⊺⇮5750)⨐⩸⫘(⊺⇮1469∙∹∝⊺⇮2498⊭↱(⪁⇼⊺⇮3660))⪉⨛(≛(⊺⇮1439⪉⨛⊺⇮6459)⊨⊺⇮4974⊉↱≁⊺⇮2042)","cot":[{"info":"⊺⇮1272⩼⇪↪⊺⇮5750=⊺⇮-38489","layer":3},{"info":"⋼∭⪍⊺⇮-38489=⊺⇮-230832","layer":2},{"info":"⊺⇮1469∙∹∝⊺⇮2498=⊺⇮0","layer":3},{"info":"⪁⇼⊺⇮3660=⊺⇮422","layer":3},{"info":"⊺⇮0⊭↱⊺⇮422=⊺⇮849","layer":2},{"info":"⊺⇮-230832⨐⩸⫘⊺⇮849=⊺⇮-852","layer":1},{"info":"⊺⇮1439⪉⨛⊺⇮6459=⊺⇮-1927","layer":3},{"info":"⊺⇮4974⊉↱≁⊺⇮2042=⊺⇮37436","layer":3},{"info":"⊺⇮-1927⊨⊺⇮37436=⊺⇮-174","layer":2},{"info":"≛⊺⇮-174=⊺⇮-585","layer":1},{"info":"⊺⇮-852⪉⨛⊺⇮-585=⊺⇮-586","layer":0}]}
{"id":904,"expression_no_base_symbol":"⨈⪑(↯⪼(⇜$4389$∓⋝$7970$))","expression":"⨈⪑(↯⪼(⇜⊺⇮4389∓⋝⊺⇮7970))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":260,"operation_count":4,"complexity_ratio":65.0,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4389,"base":10},"right_expr":{"type":"numeric_atoms","value":7970,"base":10}}}}},"used_operators":["mp94q5OcYM","8jW3W4yZS5","lFBm8KRb8F","PoHhknlbAi"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⊺⇮868","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4389","layer":4},{"info":"number node, value=7970","layer":4},{"info":"compute binary expreesion, left_input=4389, right_input=7970, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-1612","layer":2},{"info":"compute unary expreesion, input=-1612, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=2307","layer":1},{"info":"compute unary expreesion, input=2307, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":10,"result_base":10,"text":"⨈⪑(↯⪼(⇜⊺⇮4389∓⋝⊺⇮7970))=⊺⇮868","reverse_text":"⊺⇮868=⨈⪑(↯⪼(⇜⊺⇮4389∓⋝⊺⇮7970))","cot":[{"info":"⊺⇮4389∓⋝⊺⇮7970=⊺⇮67","layer":3},{"info":"⇜⊺⇮67=⊺⇮-1612","layer":2},{"info":"↯⪼⊺⇮-1612=⊺⇮2307","layer":1},{"info":"⨈⪑⊺⇮2307=⊺⇮868","layer":0}]}
{"id":905,"expression_no_base_symbol":"(($5414$⪭≯$1286$)⪎↠(⇋⊎⋝$5915$)⩁⩘(($1349$∽$1983$)-($3353$⨀⨒)))≝⊿((↡($1538$∘$4766$))⫁⪎(⇠($1435$↬⩅∪)))","expression":"((⊺⇮5414⪭≯⊺⇮1286)⪎↠(⇋⊎⋝⊺⇮5915)⩁⩘((⊺⇮1349∽⊺⇮1983)-(⊺⇮3353⨀⨒)))≝⊿((↡(⊺⇮1538∘⊺⇮4766))⫁⪎(⇠(⊺⇮1435↬⩅∪)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6242,"operation_count":13,"complexity_ratio":480.15384615384613,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5414,"base":10},"right_expr":{"type":"numeric_atoms","value":1286,"base":10}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":5915,"base":10}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1349,"base":10},"right_expr":{"type":"numeric_atoms","value":1983,"base":10}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":3353,"base":10}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1538,"base":10},"right_expr":{"type":"numeric_atoms","value":4766,"base":10}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1435,"base":10}}}}},"used_operators":["OKKcZfAt5B","gub5Cegaqo","3tVxb0NHM4","XAx5wpdLa6","CzM2PEoXns","rysDP5nf3Z","y4ImoPnbV5","j6NVkjMzuk","xRrnTEsQ6j","MXaNJeIAZ3","Z5m6OM72h2","18saOjeKKm","VJ330n2nnx"],"dependent_operators":["12rbrZMWeM","DpFCA1CohY","IWmyXbctLI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","dWAJyo7jo9","NTOWxs364D","QMFrweE19q","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","eH2TOUuTDT","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5414","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=5414, right_input=1286, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=5915","layer":4},{"info":"compute unary expreesion, input=5915, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":2},{"info":"number node, value=1349","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1983, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-12516","layer":3},{"info":"number node, value=3353","layer":4},{"info":"compute unary expreesion, input=3353, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=43674","layer":3},{"info":"compute binary expreesion, left_input=-12516, right_input=43674, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-56190","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-56190, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=1538","layer":4},{"info":"number node, value=4766","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=4766, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3076","layer":3},{"info":"compute unary expreesion, input=3076, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=27684","layer":2},{"info":"number node, value=1435","layer":4},{"info":"compute unary expreesion, input=1435, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-4305","layer":3},{"info":"compute unary expreesion, input=-4305, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=27684, right_input=0, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=27684","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=27684, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮5414⪭≯⊺⇮1286)⪎↠(⇋⊎⋝⊺⇮5915)⩁⩘((⊺⇮1349∽⊺⇮1983)-(⊺⇮3353⨀⨒)))≝⊿((↡(⊺⇮1538∘⊺⇮4766))⫁⪎(⇠(⊺⇮1435↬⩅∪)))=NaN","reverse_text":"NaN=((⊺⇮5414⪭≯⊺⇮1286)⪎↠(⇋⊎⋝⊺⇮5915)⩁⩘((⊺⇮1349∽⊺⇮1983)-(⊺⇮3353⨀⨒)))≝⊿((↡(⊺⇮1538∘⊺⇮4766))⫁⪎(⇠(⊺⇮1435↬⩅∪)))","cot":[{"info":"⊺⇮5414⪭≯⊺⇮1286=NaN","layer":3},{"info":"⇋⊎⋝⊺⇮5915=NaN","layer":3},{"info":"NaN⪎↠NaN=NaN","layer":2},{"info":"⊺⇮1349∽⊺⇮1983=⊺⇮-12516","layer":3},{"info":"⊺⇮3353⨀⨒=⊺⇮43674","layer":3},{"info":"⊺⇮-12516-⊺⇮43674=⊺⇮-56190","layer":2},{"info":"NaN⩁⩘⊺⇮-56190=NaN","layer":1},{"info":"⊺⇮1538∘⊺⇮4766=⊺⇮3076","layer":3},{"info":"↡⊺⇮3076=⊺⇮27684","layer":2},{"info":"⊺⇮1435↬⩅∪=⊺⇮-4305","layer":3},{"info":"⇠⊺⇮-4305=⊺⇮0","layer":2},{"info":"⊺⇮27684⫁⪎⊺⇮0=⊺⇮27684","layer":1},{"info":"NaN≝⊿⊺⇮27684=NaN","layer":0}]}
{"id":906,"expression_no_base_symbol":"(⪡⇡≛(⪨⨬($2986$-$7265$)))⪒⊣⊆((∡(↸⊣$3083$))⋣⋖($3230$⋳⪒$6092$⨵⪆$3958$≓∲$2442$))","expression":"(⪡⇡≛(⪨⨬(⊺⇮2986-⊺⇮7265)))⪒⊣⊆((∡(↸⊣⊺⇮3083))⋣⋖(⊺⇮3230⋳⪒⊺⇮6092⨵⪆⊺⇮3958≓∲⊺⇮2442))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":141,"operation_count":10,"complexity_ratio":14.1,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2986,"base":10},"right_expr":{"type":"numeric_atoms","value":7265,"base":10}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3083,"base":10}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3230,"base":10},"right_expr":{"type":"numeric_atoms","value":6092,"base":10}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3958,"base":10},"right_expr":{"type":"numeric_atoms","value":2442,"base":10}}}}},"used_operators":["eRqsBgTDFp","qL4PrbW1Dq","5obUd6DV38","rysDP5nf3Z","J0M6qkBnIM","pRsWfj4Fpp","wztAlM01eG","2DQ55sFlQl","12rbrZMWeM","s1XTVnmDOJ"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","T2fj7uvVaJ","nlCqmYiOvY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⊺⇮34706","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2986","layer":4},{"info":"number node, value=7265","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=7265, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4279","layer":3},{"info":"compute unary expreesion, input=-4279, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute unary expreesion, input=-526, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-526","layer":1},{"info":"number node, value=3083","layer":4},{"info":"compute unary expreesion, input=3083, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2796","layer":3},{"info":"compute unary expreesion, input=-2796, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=16776","layer":2},{"info":"number node, value=3230","layer":4},{"info":"number node, value=6092","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=6092, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=81","layer":3},{"info":"number node, value=3958","layer":4},{"info":"number node, value=2442","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=2442, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=40363","layer":3},{"info":"compute binary expreesion, left_input=81, right_input=40363, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=16776, right_input=160, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=16776","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=16776, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=34706","layer":0}],"base":10,"result_base":10,"text":"(⪡⇡≛(⪨⨬(⊺⇮2986-⊺⇮7265)))⪒⊣⊆((∡(↸⊣⊺⇮3083))⋣⋖(⊺⇮3230⋳⪒⊺⇮6092⨵⪆⊺⇮3958≓∲⊺⇮2442))=⊺⇮34706","reverse_text":"⊺⇮34706=(⪡⇡≛(⪨⨬(⊺⇮2986-⊺⇮7265)))⪒⊣⊆((∡(↸⊣⊺⇮3083))⋣⋖(⊺⇮3230⋳⪒⊺⇮6092⨵⪆⊺⇮3958≓∲⊺⇮2442))","cot":[{"info":"⊺⇮2986-⊺⇮7265=⊺⇮-4279","layer":3},{"info":"⪨⨬⊺⇮-4279=⊺⇮-526","layer":2},{"info":"⪡⇡≛⊺⇮-526=⊺⇮-526","layer":1},{"info":"↸⊣⊺⇮3083=⊺⇮-2796","layer":3},{"info":"∡⊺⇮-2796=⊺⇮16776","layer":2},{"info":"⊺⇮3230⋳⪒⊺⇮6092=⊺⇮81","layer":3},{"info":"⊺⇮3958≓∲⊺⇮2442=⊺⇮40363","layer":3},{"info":"⊺⇮81⨵⪆⊺⇮40363=⊺⇮160","layer":2},{"info":"⊺⇮16776⋣⋖⊺⇮160=⊺⇮16776","layer":1},{"info":"⊺⇮-526⪒⊣⊆⊺⇮16776=⊺⇮34706","layer":0}]}
{"id":907,"expression_no_base_symbol":"((($4442$⊦⊿)∙⊟$5216$⩇∃⫛$6709$)⨘)⩖⊿(($3578$⊲⩕⊾$1108$)≁(⊲⪭$1024$)⨑≵⋬($1470$≀⩗∶$4448$)∛$1437$∳⫺$6608$)","expression":"(((⊺⇮4442⊦⊿)∙⊟⊺⇮5216⩇∃⫛⊺⇮6709)⨘)⩖⊿((⊺⇮3578⊲⩕⊾⊺⇮1108)≁(⊲⪭⊺⇮1024)⨑≵⋬(⊺⇮1470≀⩗∶⊺⇮4448)∛⊺⇮1437∳⫺⊺⇮6608)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":203761,"operation_count":12,"complexity_ratio":16980.083333333332,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4442,"base":10}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":5216,"base":10},"right_expr":{"type":"numeric_atoms","value":6709,"base":10}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3578,"base":10},"right_expr":{"type":"numeric_atoms","value":1108,"base":10}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1024,"base":10}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1470,"base":10},"right_expr":{"type":"numeric_atoms","value":4448,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1437,"base":10},"right_expr":{"type":"numeric_atoms","value":6608,"base":10}}}}},"used_operators":["RZ5CV9rWsJ","ljcfZBUpm8","SxTAKzQCrw","14qkJME0vr","1aApVXNlOP","XnXgA4xnOs","8N2wDY1A35","DmTXOeWf9t","k7HXdKtiEU","w2537kitQq","8INZBEW696","AzXXKTstlj"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","i8ToyICDmI","xUOZtlo3hN","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⊺⇮440424","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4442","layer":4},{"info":"compute unary expreesion, input=4442, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-13405","layer":3},{"info":"number node, value=5216","layer":4},{"info":"number node, value=6709","layer":4},{"info":"compute binary expreesion, left_input=5216, right_input=6709, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=1966","layer":3},{"info":"compute binary expreesion, left_input=-13405, right_input=1966, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=190009","layer":2},{"info":"compute unary expreesion, input=190009, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-1330838","layer":1},{"info":"number node, value=3578","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=1108, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-64958","layer":3},{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1198","layer":3},{"info":"compute binary expreesion, left_input=-64958, right_input=-1198, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-44033","layer":2},{"info":"number node, value=1470","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=4448, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-9","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=6608","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=6608, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-7406","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=-7406, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-44033, right_input=67, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-219255","layer":1},{"info":"compute binary expreesion, left_input=-1330838, right_input=-219255, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=440424","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮4442⊦⊿)∙⊟⊺⇮5216⩇∃⫛⊺⇮6709)⨘)⩖⊿((⊺⇮3578⊲⩕⊾⊺⇮1108)≁(⊲⪭⊺⇮1024)⨑≵⋬(⊺⇮1470≀⩗∶⊺⇮4448)∛⊺⇮1437∳⫺⊺⇮6608)=⊺⇮440424","reverse_text":"⊺⇮440424=(((⊺⇮4442⊦⊿)∙⊟⊺⇮5216⩇∃⫛⊺⇮6709)⨘)⩖⊿((⊺⇮3578⊲⩕⊾⊺⇮1108)≁(⊲⪭⊺⇮1024)⨑≵⋬(⊺⇮1470≀⩗∶⊺⇮4448)∛⊺⇮1437∳⫺⊺⇮6608)","cot":[{"info":"⊺⇮4442⊦⊿=⊺⇮-13405","layer":3},{"info":"⊺⇮5216⩇∃⫛⊺⇮6709=⊺⇮1966","layer":3},{"info":"⊺⇮-13405∙⊟⊺⇮1966=⊺⇮190009","layer":2},{"info":"⊺⇮190009⨘=⊺⇮-1330838","layer":1},{"info":"⊺⇮3578⊲⩕⊾⊺⇮1108=⊺⇮-64958","layer":3},{"info":"⊲⪭⊺⇮1024=⊺⇮-1198","layer":3},{"info":"⊺⇮-64958≁⊺⇮-1198=⊺⇮-44033","layer":2},{"info":"⊺⇮1470≀⩗∶⊺⇮4448=⊺⇮-9","layer":3},{"info":"⊺⇮1437∳⫺⊺⇮6608=⊺⇮-7406","layer":3},{"info":"⊺⇮-9∛⊺⇮-7406=⊺⇮67","layer":2},{"info":"⊺⇮-44033⨑≵⋬⊺⇮67=⊺⇮-219255","layer":1},{"info":"⊺⇮-1330838⩖⊿⊺⇮-219255=⊺⇮440424","layer":0}]}
{"id":908,"expression_no_base_symbol":"((($2945$⨘)⫌⩉⩟(⊊≼∋$3361$))⫒⫫(($1106$∕⩚$3033$)⪔($1028$⊦⊿)))⇤(⇜⊴$2980$⊋$1065$∖$1812$⨓$8382$)","expression":"(((⊺⇮2945⨘)⫌⩉⩟(⊊≼∋⊺⇮3361))⫒⫫((⊺⇮1106∕⩚⊺⇮3033)⪔(⊺⇮1028⊦⊿)))⇤(⇜⊴⊺⇮2980⊋⊺⇮1065∖⊺⇮1812⨓⊺⇮8382)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":230934,"operation_count":12,"complexity_ratio":19244.5,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":2945,"base":10}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3361,"base":10}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1106,"base":10},"right_expr":{"type":"numeric_atoms","value":3033,"base":10}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1028,"base":10}}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2980,"base":10},"right_expr":{"type":"numeric_atoms","value":1065,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1812,"base":10},"right_expr":{"type":"numeric_atoms","value":8382,"base":10}}}}},"used_operators":["YSKBFp38Pu","6Ko8hGgeMq","XIIwhv8d0m","ljcfZBUpm8","FWz7pXsQhA","GjBEYRfMaF","z9ffQ9n5Zr","14qkJME0vr","XwDhCwWbUn","tXD093vOjl","W4tP9CfskL","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","B5M0gjZbta","jCPkEVoL5K","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⊺⇮-43687","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2945","layer":4},{"info":"compute unary expreesion, input=2945, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-21390","layer":3},{"info":"number node, value=3361","layer":4},{"info":"compute unary expreesion, input=3361, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-21390, right_input=-447, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=3033","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=3033, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1109","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3163","layer":3},{"info":"compute binary expreesion, left_input=-1109, right_input=-3163, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=548","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=548, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":1},{"info":"number node, value=2980","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=1065, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=15389704","layer":3},{"info":"number node, value=1812","layer":4},{"info":"number node, value=8382","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=8382, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8385","layer":3},{"info":"compute binary expreesion, left_input=15389704, right_input=-8385, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=9194","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=9194, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-43687","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮2945⨘)⫌⩉⩟(⊊≼∋⊺⇮3361))⫒⫫((⊺⇮1106∕⩚⊺⇮3033)⪔(⊺⇮1028⊦⊿)))⇤(⇜⊴⊺⇮2980⊋⊺⇮1065∖⊺⇮1812⨓⊺⇮8382)=⊺⇮-43687","reverse_text":"⊺⇮-43687=(((⊺⇮2945⨘)⫌⩉⩟(⊊≼∋⊺⇮3361))⫒⫫((⊺⇮1106∕⩚⊺⇮3033)⪔(⊺⇮1028⊦⊿)))⇤(⇜⊴⊺⇮2980⊋⊺⇮1065∖⊺⇮1812⨓⊺⇮8382)","cot":[{"info":"⊺⇮2945⨘=⊺⇮-21390","layer":3},{"info":"⊊≼∋⊺⇮3361=⊺⇮-447","layer":3},{"info":"⊺⇮-21390⫌⩉⩟⊺⇮-447=⊺⇮-50","layer":2},{"info":"⊺⇮1106∕⩚⊺⇮3033=⊺⇮-1109","layer":3},{"info":"⊺⇮1028⊦⊿=⊺⇮-3163","layer":3},{"info":"⊺⇮-1109⪔⊺⇮-3163=⊺⇮548","layer":2},{"info":"⊺⇮-50⫒⫫⊺⇮548=⊺⇮113","layer":1},{"info":"⊺⇮2980⊋⊺⇮1065=⊺⇮15389704","layer":3},{"info":"⊺⇮1812⨓⊺⇮8382=⊺⇮-8385","layer":3},{"info":"⊺⇮15389704∖⊺⇮-8385=⊺⇮0","layer":2},{"info":"⇜⊴⊺⇮0=⊺⇮9194","layer":1},{"info":"⊺⇮113⇤⊺⇮9194=⊺⇮-43687","layer":0}]}
{"id":909,"expression_no_base_symbol":"(⩦⊞(⊊≼∋$2188$)⫯⪬∳($4446$⨪↰⇹$4814$))⫲≸⪮(($7655$⋓$1032$)⇂≾⫗($1530$≧⫂∧$3063$)⩭)","expression":"(⩦⊞(⊊≼∋⊺⇮2188)⫯⪬∳(⊺⇮4446⨪↰⇹⊺⇮4814))⫲≸⪮((⊺⇮7655⋓⊺⇮1032)⇂≾⫗(⊺⇮1530≧⫂∧⊺⇮3063)⩭)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":519799,"operation_count":9,"complexity_ratio":57755.444444444445,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2188,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4446,"base":10},"right_expr":{"type":"numeric_atoms","value":4814,"base":10}}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7655,"base":10},"right_expr":{"type":"numeric_atoms","value":1032,"base":10}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1530,"base":10},"right_expr":{"type":"numeric_atoms","value":3063,"base":10}}}}},"used_operators":["P3lXMJvFrc","u7fv1HBiaC","d7ASUq0ydm","FWz7pXsQhA","tmPS8pqC7x","yIPP7u6H5x","aBQ6xLxuTc","T2fj7uvVaJ","Ph9nP6C5qx"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","B5M0gjZbta","jCPkEVoL5K","rJVOvQCfKK","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮595","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"compute unary expreesion, input=2188, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=4446","layer":4},{"info":"number node, value=4814","layer":4},{"info":"compute binary expreesion, left_input=4446, right_input=4814, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4446","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=4446, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-595","layer":1},{"info":"number node, value=7655","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=7655, right_input=1032, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1530","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=3063, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2590","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2590, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=-595, right_input=450, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=595","layer":0}],"base":10,"result_base":10,"text":"(⩦⊞(⊊≼∋⊺⇮2188)⫯⪬∳(⊺⇮4446⨪↰⇹⊺⇮4814))⫲≸⪮((⊺⇮7655⋓⊺⇮1032)⇂≾⫗(⊺⇮1530≧⫂∧⊺⇮3063)⩭)=⊺⇮595","reverse_text":"⊺⇮595=(⩦⊞(⊊≼∋⊺⇮2188)⫯⪬∳(⊺⇮4446⨪↰⇹⊺⇮4814))⫲≸⪮((⊺⇮7655⋓⊺⇮1032)⇂≾⫗(⊺⇮1530≧⫂∧⊺⇮3063)⩭)","cot":[{"info":"⊊≼∋⊺⇮2188=⊺⇮-447","layer":3},{"info":"⊺⇮4446⨪↰⇹⊺⇮4814=⊺⇮4446","layer":3},{"info":"⊺⇮-447⫯⪬∳⊺⇮4446=⊺⇮868","layer":2},{"info":"⩦⊞⊺⇮868=⊺⇮-595","layer":1},{"info":"⊺⇮7655⋓⊺⇮1032=⊺⇮0","layer":3},{"info":"⊺⇮1530≧⫂∧⊺⇮3063=⊺⇮2590","layer":3},{"info":"⊺⇮0⇂≾⫗⊺⇮2590=⊺⇮-676","layer":2},{"info":"⊺⇮-676⩭=⊺⇮450","layer":1},{"info":"⊺⇮-595⫲≸⪮⊺⇮450=⊺⇮595","layer":0}]}
{"id":910,"expression_no_base_symbol":"(((⩩$1000$)∙⊟(⊀$1340$))⊴(⊙↵-($2184$≬⇓$6687$)))↞⋁(⪭⩑⪱$7671$⊢$1581$)⊕∕(($2493$⪚$2984$)⫠)","expression":"(((⩩⊺⇮1000)∙⊟(⊀⊺⇮1340))⊴(⊙↵-(⊺⇮2184≬⇓⊺⇮6687)))↞⋁(⪭⩑⪱⊺⇮7671⊢⊺⇮1581)⊕∕((⊺⇮2493⪚⊺⇮2984)⫠)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1071013,"operation_count":12,"complexity_ratio":89251.08333333333,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1000,"base":10}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1340,"base":10}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2184,"base":10},"right_expr":{"type":"numeric_atoms","value":6687,"base":10}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":7671,"base":10},"right_expr":{"type":"numeric_atoms","value":1581,"base":10}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2493,"base":10},"right_expr":{"type":"numeric_atoms","value":2984,"base":10}}}}},"used_operators":["RqrPlJkxDo","Nsiff2A1zJ","SxTAKzQCrw","kMhfGuqI2H","oPMjh9089D","oWn0xqSxBt","jWTQ2TZYIH","9cloC0Ngie","SIgE0bArFf","5twsqlHp2o","6SnOT2rOjz","HrjLwUk87U"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","dWAJyo7jo9","14qkJME0vr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5098","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5098, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"number node, value=2184","layer":4},{"info":"number node, value=6687","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=6687, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"number node, value=7671","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=7671, right_input=1581, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-15586","layer":3},{"info":"compute unary expreesion, input=-15586, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=2493","layer":4},{"info":"number node, value=2984","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=2984, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1338","layer":3},{"info":"compute unary expreesion, input=-1338, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=-79, right_input=8320752, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⩩⊺⇮1000)∙⊟(⊀⊺⇮1340))⊴(⊙↵-(⊺⇮2184≬⇓⊺⇮6687)))↞⋁(⪭⩑⪱⊺⇮7671⊢⊺⇮1581)⊕∕((⊺⇮2493⪚⊺⇮2984)⫠)=NaN","reverse_text":"NaN=(((⩩⊺⇮1000)∙⊟(⊀⊺⇮1340))⊴(⊙↵-(⊺⇮2184≬⇓⊺⇮6687)))↞⋁(⪭⩑⪱⊺⇮7671⊢⊺⇮1581)⊕∕((⊺⇮2493⪚⊺⇮2984)⫠)","cot":[{"info":"⩩⊺⇮1000=NaN","layer":3},{"info":"⊀⊺⇮1340=⊺⇮5098","layer":3},{"info":"NaN∙⊟⊺⇮5098=NaN","layer":2},{"info":"⊺⇮2184≬⇓⊺⇮6687=⊺⇮-22","layer":3},{"info":"⊙↵-⊺⇮-22=⊺⇮0","layer":2},{"info":"NaN⊴⊺⇮0=⊺⇮-79","layer":1},{"info":"⊺⇮7671⊢⊺⇮1581=⊺⇮-15586","layer":3},{"info":"⪭⩑⪱⊺⇮-15586=⊺⇮8320752","layer":2},{"info":"⊺⇮2493⪚⊺⇮2984=⊺⇮-1338","layer":3},{"info":"⊺⇮-1338⫠=⊺⇮0","layer":2},{"info":"⊺⇮8320752⊕∕⊺⇮0=⊺⇮8320752","layer":1},{"info":"⊺⇮-79↞⋁⊺⇮8320752=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"⪝⪂⫅(∐⩳⋚($2334$⪔⊥$1030$)↳≱$4682$⇂≾⫗$2512$)","expression":"⪝⪂⫅(∐⩳⋚(⊺⇮2334⪔⊥⊺⇮1030)↳≱⊺⇮4682⇂≾⫗⊺⇮2512)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":428,"operation_count":5,"complexity_ratio":85.6,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2334,"base":10},"right_expr":{"type":"numeric_atoms","value":1030,"base":10}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4682,"base":10},"right_expr":{"type":"numeric_atoms","value":2512,"base":10}}}}},"used_operators":["XTarYq4gQB","SL6IHkK8vl","JwTKLfZU96","HJ9erzHUuu","aBQ6xLxuTc"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"⊺⇮4071018","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2334","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=1030, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=7077","layer":3},{"info":"number node, value=4682","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=4682, right_input=2512, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=7077, right_input=-676, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-27694","layer":1},{"info":"compute unary expreesion, input=-27694, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=4071018","layer":0}],"base":10,"result_base":10,"text":"⪝⪂⫅(∐⩳⋚(⊺⇮2334⪔⊥⊺⇮1030)↳≱⊺⇮4682⇂≾⫗⊺⇮2512)=⊺⇮4071018","reverse_text":"⊺⇮4071018=⪝⪂⫅(∐⩳⋚(⊺⇮2334⪔⊥⊺⇮1030)↳≱⊺⇮4682⇂≾⫗⊺⇮2512)","cot":[{"info":"⊺⇮2334⪔⊥⊺⇮1030=⊺⇮7077","layer":3},{"info":"⊺⇮4682⇂≾⫗⊺⇮2512=⊺⇮-676","layer":3},{"info":"⊺⇮7077↳≱⊺⇮-676=⊺⇮0","layer":2},{"info":"∐⩳⋚⊺⇮0=⊺⇮-27694","layer":1},{"info":"⪝⪂⫅⊺⇮-27694=⊺⇮4071018","layer":0}]}
{"id":912,"expression_no_base_symbol":"(((⫇$3674$)↸$1319$⫁⪎$3570$)⨪↰⇹(($2066$⊹≧⊝)⪒($3705$+$2746$)))≁((($6004$∖$1472$)∲⫓($6492$≑≱⪘))⋳⪒$3303$⨐$2635$⨚⇆$7692$∼$2253$)","expression":"(((⫇⊺⇮3674)↸⊺⇮1319⫁⪎⊺⇮3570)⨪↰⇹((⊺⇮2066⊹≧⊝)⪒(⊺⇮3705+⊺⇮2746)))≁(((⊺⇮6004∖⊺⇮1472)∲⫓(⊺⇮6492≑≱⪘))⋳⪒⊺⇮3303⨐⊺⇮2635⨚⇆⊺⇮7692∼⊺⇮2253)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9271,"operation_count":15,"complexity_ratio":618.0666666666667,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":3674,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1319,"base":10},"right_expr":{"type":"numeric_atoms","value":3570,"base":10}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":2066,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3705,"base":10},"right_expr":{"type":"numeric_atoms","value":2746,"base":10}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6004,"base":10},"right_expr":{"type":"numeric_atoms","value":1472,"base":10}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":6492,"base":10}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3303,"base":10},"right_expr":{"type":"numeric_atoms","value":2635,"base":10}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7692,"base":10},"right_expr":{"type":"numeric_atoms","value":2253,"base":10}}}}},"used_operators":["8N2wDY1A35","tmPS8pqC7x","1eCjFl0mb9","YjI8oCXuph","xRrnTEsQ6j","f6k1SAg4EE","LxFB4K6j0n","W4YGzv6Whe","12rbrZMWeM","i8ToyICDmI","tXD093vOjl","tGSeddj7UK","lwHaAYXP2r","Noe24qw2ks","DyGG3AbaNP"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rJVOvQCfKK","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3674","layer":4},{"info":"compute unary expreesion, input=3674, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-6134","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=3570, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2251","layer":3},{"info":"compute binary expreesion, left_input=-6134, right_input=-2251, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-6134","layer":2},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-8264","layer":3},{"info":"number node, value=3705","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=2746, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6451","layer":3},{"info":"compute binary expreesion, left_input=-8264, right_input=6451, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1813","layer":2},{"info":"compute binary expreesion, left_input=-6134, right_input=1813, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-6134","layer":1},{"info":"number node, value=6004","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=6004, right_input=1472, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=6492","layer":4},{"info":"compute unary expreesion, input=6492, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=165157","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=165157, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=3303","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=3303, right_input=2635, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6606","layer":3},{"info":"number node, value=7692","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=7692, right_input=2253, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6606, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-inf, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=-6134, right_input=inf, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⫇⊺⇮3674)↸⊺⇮1319⫁⪎⊺⇮3570)⨪↰⇹((⊺⇮2066⊹≧⊝)⪒(⊺⇮3705+⊺⇮2746)))≁(((⊺⇮6004∖⊺⇮1472)∲⫓(⊺⇮6492≑≱⪘))⋳⪒⊺⇮3303⨐⊺⇮2635⨚⇆⊺⇮7692∼⊺⇮2253)=NaN","reverse_text":"NaN=(((⫇⊺⇮3674)↸⊺⇮1319⫁⪎⊺⇮3570)⨪↰⇹((⊺⇮2066⊹≧⊝)⪒(⊺⇮3705+⊺⇮2746)))≁(((⊺⇮6004∖⊺⇮1472)∲⫓(⊺⇮6492≑≱⪘))⋳⪒⊺⇮3303⨐⊺⇮2635⨚⇆⊺⇮7692∼⊺⇮2253)","cot":[{"info":"⫇⊺⇮3674=⊺⇮-6134","layer":3},{"info":"⊺⇮1319⫁⪎⊺⇮3570=⊺⇮-2251","layer":3},{"info":"⊺⇮-6134↸⊺⇮-2251=⊺⇮-6134","layer":2},{"info":"⊺⇮2066⊹≧⊝=⊺⇮-8264","layer":3},{"info":"⊺⇮3705+⊺⇮2746=⊺⇮6451","layer":3},{"info":"⊺⇮-8264⪒⊺⇮6451=⊺⇮1813","layer":2},{"info":"⊺⇮-6134⨪↰⇹⊺⇮1813=⊺⇮-6134","layer":1},{"info":"⊺⇮6004∖⊺⇮1472=⊺⇮0","layer":3},{"info":"⊺⇮6492≑≱⪘=⊺⇮165157","layer":3},{"info":"⊺⇮0∲⫓⊺⇮165157=⊺⇮0","layer":2},{"info":"⊺⇮3303⨐⊺⇮2635=⊺⇮-6606","layer":3},{"info":"⊺⇮7692∼⊺⇮2253=NaN","layer":3},{"info":"⊺⇮-6606⨚⇆NaN=-Inf","layer":2},{"info":"⊺⇮0⋳⪒-Inf=Inf","layer":1},{"info":"⊺⇮-6134≁Inf=NaN","layer":0}]}
{"id":913,"expression_no_base_symbol":"(⪫⨮⊛(($4403$⪥$1761$)⫁⪎$1495$↓$1885$))⊬⫿⊭","expression":"(⪫⨮⊛((⊺⇮4403⪥⊺⇮1761)⫁⪎⊺⇮1495↓⊺⇮1885))⊬⫿⊭","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6828986,"operation_count":5,"complexity_ratio":1365797.2,"tree":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4403,"base":10},"right_expr":{"type":"numeric_atoms","value":1761,"base":10}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1495,"base":10},"right_expr":{"type":"numeric_atoms","value":1885,"base":10}}}}},"used_operators":["v0DYgG9ikt","w5FWba1tyO","xRrnTEsQ6j","QbnwKVWMIQ","Af076pWI7l"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4403","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=4403, right_input=1761, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=22264","layer":3},{"info":"number node, value=1495","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=1885, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=22264, right_input=-134, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=22398","layer":2},{"info":"compute unary expreesion, input=22398, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪫⨮⊛((⊺⇮4403⪥⊺⇮1761)⫁⪎⊺⇮1495↓⊺⇮1885))⊬⫿⊭=NaN","reverse_text":"NaN=(⪫⨮⊛((⊺⇮4403⪥⊺⇮1761)⫁⪎⊺⇮1495↓⊺⇮1885))⊬⫿⊭","cot":[{"info":"⊺⇮4403⪥⊺⇮1761=⊺⇮22264","layer":3},{"info":"⊺⇮1495↓⊺⇮1885=⊺⇮-134","layer":3},{"info":"⊺⇮22264⫁⪎⊺⇮-134=⊺⇮22398","layer":2},{"info":"⪫⨮⊛⊺⇮22398=NaN","layer":1},{"info":"NaN⊬⫿⊭=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"(↯⪼((≛$1401$)≠≀(∟⋨$2721$)))≬⋮(((≋$3318$)⩘⨬⇊)⨀⨒)","expression":"(↯⪼((≛⊺⇮1401)≠≀(∟⋨⊺⇮2721)))≬⋮(((≋⊺⇮3318)⩘⨬⇊)⨀⨒)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6009,"operation_count":8,"complexity_ratio":751.125,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1401,"base":10}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2721,"base":10}}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3318,"base":10}}}}},"used_operators":["kbkesczE7y","8jW3W4yZS5","IwW236VD4Y","W7eaUhjymW","ctOc4cKSDt","j6NVkjMzuk","XXmTpEpWTW","61wBmkZwlr"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","eLAdDNolq6","tmPS8pqC7x","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1401","layer":4},{"info":"compute unary expreesion, input=1401, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=2721","layer":4},{"info":"compute unary expreesion, input=2721, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2237","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=-2237, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=2126","layer":2},{"info":"compute unary expreesion, input=2126, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=3318","layer":4},{"info":"compute unary expreesion, input=3318, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3318","layer":3},{"info":"compute unary expreesion, input=3318, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↯⪼((≛⊺⇮1401)≠≀(∟⋨⊺⇮2721)))≬⋮(((≋⊺⇮3318)⩘⨬⇊)⨀⨒)=NaN","reverse_text":"NaN=(↯⪼((≛⊺⇮1401)≠≀(∟⋨⊺⇮2721)))≬⋮(((≋⊺⇮3318)⩘⨬⇊)⨀⨒)","cot":[{"info":"≛⊺⇮1401=⊺⇮-10","layer":3},{"info":"∟⋨⊺⇮2721=⊺⇮-2237","layer":3},{"info":"⊺⇮-10≠≀⊺⇮-2237=⊺⇮2126","layer":2},{"info":"↯⪼⊺⇮2126=⊺⇮-21","layer":1},{"info":"≋⊺⇮3318=⊺⇮3318","layer":3},{"info":"⊺⇮3318⩘⨬⇊=NaN","layer":2},{"info":"NaN⨀⨒=NaN","layer":1},{"info":"⊺⇮-21≬⋮NaN=NaN","layer":0}]}
{"id":915,"expression_no_base_symbol":"($1114$≁↽≥$2574$⊎←↗)⇷($1669$≹⇙⪍$1253$⪭≯(⇤←$4358$))⫥∨⫟($2157$∋$6646$∀⇚≩($5859$⇮⋭$2287$))∣($3926$⊋≦⊧$5687$↺(⪭⩑⪱$7284$))","expression":"(⊺⇮1114≁↽≥⊺⇮2574⊎←↗)⇷(⊺⇮1669≹⇙⪍⊺⇮1253⪭≯(⇤←⊺⇮4358))⫥∨⫟(⊺⇮2157∋⊺⇮6646∀⇚≩(⊺⇮5859⇮⋭⊺⇮2287))∣(⊺⇮3926⊋≦⊧⊺⇮5687↺(⪭⩑⪱⊺⇮7284))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":842454,"operation_count":14,"complexity_ratio":60175.28571428572,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1114,"base":10},"right_expr":{"type":"numeric_atoms","value":2574,"base":10}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1669,"base":10},"right_expr":{"type":"numeric_atoms","value":1253,"base":10}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":4358,"base":10}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2157,"base":10},"right_expr":{"type":"numeric_atoms","value":6646,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5859,"base":10},"right_expr":{"type":"numeric_atoms","value":2287,"base":10}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3926,"base":10},"right_expr":{"type":"numeric_atoms","value":5687,"base":10}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":7284,"base":10}}}}},"used_operators":["KYD54nUTWz","mp7IySMOzn","dwb5p0fa6d","ncHt1X6cMc","XAx5wpdLa6","AHs5Up7iyr","jfAgQ2OQeM","PPChnnnBFF","LRNGc0VcxI","ukq6epAj5P","vkpjKywKVM","7j4O788W3g","oRDoc9rAEX","SIgE0bArFf"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","dWAJyo7jo9","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","X99M06cbEe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1114","layer":4},{"info":"number node, value=2574","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=2574, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=26642","layer":3},{"info":"compute unary expreesion, input=26642, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-52599","layer":2},{"info":"number node, value=1669","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=1253, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4358","layer":4},{"info":"compute unary expreesion, input=4358, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-20424","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20424, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-52599, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2157","layer":4},{"info":"number node, value=6646","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=6646, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=13829004","layer":3},{"info":"number node, value=5859","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=5859, right_input=2287, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=13829004, right_input=-473, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3926","layer":4},{"info":"number node, value=5687","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=5687, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-9373","layer":3},{"info":"number node, value=7284","layer":4},{"info":"compute unary expreesion, input=7284, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=-9373, right_input=8320752, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1114≁↽≥⊺⇮2574⊎←↗)⇷(⊺⇮1669≹⇙⪍⊺⇮1253⪭≯(⇤←⊺⇮4358))⫥∨⫟(⊺⇮2157∋⊺⇮6646∀⇚≩(⊺⇮5859⇮⋭⊺⇮2287))∣(⊺⇮3926⊋≦⊧⊺⇮5687↺(⪭⩑⪱⊺⇮7284))=NaN","reverse_text":"NaN=(⊺⇮1114≁↽≥⊺⇮2574⊎←↗)⇷(⊺⇮1669≹⇙⪍⊺⇮1253⪭≯(⇤←⊺⇮4358))⫥∨⫟(⊺⇮2157∋⊺⇮6646∀⇚≩(⊺⇮5859⇮⋭⊺⇮2287))∣(⊺⇮3926⊋≦⊧⊺⇮5687↺(⪭⩑⪱⊺⇮7284))","cot":[{"info":"⊺⇮1114≁↽≥⊺⇮2574=⊺⇮26642","layer":3},{"info":"⊺⇮26642⊎←↗=⊺⇮-52599","layer":2},{"info":"⊺⇮1669≹⇙⪍⊺⇮1253=NaN","layer":3},{"info":"⇤←⊺⇮4358=⊺⇮-20424","layer":3},{"info":"NaN⪭≯⊺⇮-20424=NaN","layer":2},{"info":"⊺⇮-52599⇷NaN=NaN","layer":1},{"info":"⊺⇮2157∋⊺⇮6646=⊺⇮13829004","layer":3},{"info":"⊺⇮5859⇮⋭⊺⇮2287=⊺⇮-473","layer":3},{"info":"⊺⇮13829004∀⇚≩⊺⇮-473=NaN","layer":2},{"info":"⊺⇮3926⊋≦⊧⊺⇮5687=⊺⇮-9373","layer":3},{"info":"⪭⩑⪱⊺⇮7284=⊺⇮8320752","layer":3},{"info":"⊺⇮-9373↺⊺⇮8320752=⊺⇮8320752","layer":2},{"info":"NaN∣⊺⇮8320752=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"(⋎⨆($2659$⨴∎)⨔≚≋($1050$≭$5018$))⋾⨃∁((↓⇌$1456$)⨵⪆($1723$⊅))↹⊜(($3071$⪨≂$3173$)⫳≱↱($2466$+$2114$))","expression":"(⋎⨆(⊺⇮2659⨴∎)⨔≚≋(⊺⇮1050≭⊺⇮5018))⋾⨃∁((↓⇌⊺⇮1456)⨵⪆(⊺⇮1723⊅))↹⊜((⊺⇮3071⪨≂⊺⇮3173)⫳≱↱(⊺⇮2466+⊺⇮2114))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14793,"operation_count":12,"complexity_ratio":1232.75,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2659,"base":10}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1050,"base":10},"right_expr":{"type":"numeric_atoms","value":5018,"base":10}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1456,"base":10}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1723,"base":10}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3071,"base":10},"right_expr":{"type":"numeric_atoms","value":3173,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2466,"base":10},"right_expr":{"type":"numeric_atoms","value":2114,"base":10}}}}},"used_operators":["212REbPD9h","E64sFOc4tB","Z57zeUYC9z","CpSg5vQTgA","rxpJgHHUmx","9bazX3JMtO","2DQ55sFlQl","PxpmPgHHJV","7p6YLioM7f","ZvLB05nZmT","sdazOOVcIp","W4YGzv6Whe"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd"],"result":"⊺⇮1283099810","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2659","layer":4},{"info":"compute unary expreesion, input=2659, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=5018","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=5018, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":1},{"info":"number node, value=1456","layer":4},{"info":"compute unary expreesion, input=1456, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1456","layer":3},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=1456, right_input=-174, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3071","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=3071, right_input=3173, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-102","layer":3},{"info":"number node, value=2466","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=2114, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4580","layer":3},{"info":"compute binary expreesion, left_input=-102, right_input=4580, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-1428","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1428, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=11328","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=11328, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=1283099810","layer":0}],"base":10,"result_base":10,"text":"(⋎⨆(⊺⇮2659⨴∎)⨔≚≋(⊺⇮1050≭⊺⇮5018))⋾⨃∁((↓⇌⊺⇮1456)⨵⪆(⊺⇮1723⊅))↹⊜((⊺⇮3071⪨≂⊺⇮3173)⫳≱↱(⊺⇮2466+⊺⇮2114))=⊺⇮1283099810","reverse_text":"⊺⇮1283099810=(⋎⨆(⊺⇮2659⨴∎)⨔≚≋(⊺⇮1050≭⊺⇮5018))⋾⨃∁((↓⇌⊺⇮1456)⨵⪆(⊺⇮1723⊅))↹⊜((⊺⇮3071⪨≂⊺⇮3173)⫳≱↱(⊺⇮2466+⊺⇮2114))","cot":[{"info":"⊺⇮2659⨴∎=NaN","layer":3},{"info":"⊺⇮1050≭⊺⇮5018=NaN","layer":3},{"info":"NaN⨔≚≋NaN=NaN","layer":2},{"info":"⋎⨆NaN=⊺⇮8320752","layer":1},{"info":"↓⇌⊺⇮1456=⊺⇮1456","layer":3},{"info":"⊺⇮1723⊅=⊺⇮-174","layer":3},{"info":"⊺⇮1456⨵⪆⊺⇮-174=⊺⇮160","layer":2},{"info":"⊺⇮3071⪨≂⊺⇮3173=⊺⇮-102","layer":3},{"info":"⊺⇮2466+⊺⇮2114=⊺⇮4580","layer":3},{"info":"⊺⇮-102⫳≱↱⊺⇮4580=⊺⇮-1428","layer":2},{"info":"⊺⇮160↹⊜⊺⇮-1428=⊺⇮11328","layer":1},{"info":"⊺⇮8320752⋾⨃∁⊺⇮11328=⊺⇮1283099810","layer":0}]}
{"id":917,"expression_no_base_symbol":"((⪭⩑⪱(↓⇌$3523$))⋐⇩⊬)⪛((⫟$2950$)≬⋮$1094$→⨶⪴$1127$)⊮⊟↴(($3954$⪄$2519$)⪷)","expression":"((⪭⩑⪱(↓⇌⊺⇮3523))⋐⇩⊬)⪛((⫟⊺⇮2950)≬⋮⊺⇮1094→⨶⪴⊺⇮1127)⊮⊟↴((⊺⇮3954⪄⊺⇮2519)⪷)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1055164,"operation_count":10,"complexity_ratio":105516.4,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":3523,"base":10}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2950,"base":10}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1094,"base":10},"right_expr":{"type":"numeric_atoms","value":1127,"base":10}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3954,"base":10},"right_expr":{"type":"numeric_atoms","value":2519,"base":10}}}}},"used_operators":["uFcxV4UQCh","JuuLT1NoCs","SIgE0bArFf","PxpmPgHHJV","QDVgd2eftb","kbkesczE7y","z4E1FaHLuy","bF6eod5Gvf","Qctrpi3WzA","SUmda5xLS4"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","Nsiff2A1zJ","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3523","layer":4},{"info":"compute unary expreesion, input=3523, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=3523","layer":3},{"info":"compute unary expreesion, input=3523, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute unary expreesion, input=8320752, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=8320752","layer":1},{"info":"number node, value=2950","layer":4},{"info":"compute unary expreesion, input=2950, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-7943","layer":3},{"info":"number node, value=1094","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1127, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3381","layer":3},{"info":"compute binary expreesion, left_input=-7943, right_input=-3381, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=3954","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=2519, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-591357","layer":3},{"info":"compute unary expreesion, input=-591357, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⪭⩑⪱(↓⇌⊺⇮3523))⋐⇩⊬)⪛((⫟⊺⇮2950)≬⋮⊺⇮1094→⨶⪴⊺⇮1127)⊮⊟↴((⊺⇮3954⪄⊺⇮2519)⪷)=NaN","reverse_text":"NaN=((⪭⩑⪱(↓⇌⊺⇮3523))⋐⇩⊬)⪛((⫟⊺⇮2950)≬⋮⊺⇮1094→⨶⪴⊺⇮1127)⊮⊟↴((⊺⇮3954⪄⊺⇮2519)⪷)","cot":[{"info":"↓⇌⊺⇮3523=⊺⇮3523","layer":3},{"info":"⪭⩑⪱⊺⇮3523=⊺⇮8320752","layer":2},{"info":"⊺⇮8320752⋐⇩⊬=⊺⇮8320752","layer":1},{"info":"⫟⊺⇮2950=⊺⇮-7943","layer":3},{"info":"⊺⇮1094→⨶⪴⊺⇮1127=⊺⇮-3381","layer":3},{"info":"⊺⇮-7943≬⋮⊺⇮-3381=⊺⇮868","layer":2},{"info":"⊺⇮3954⪄⊺⇮2519=⊺⇮-591357","layer":3},{"info":"⊺⇮-591357⪷=NaN","layer":2},{"info":"⊺⇮868⊮⊟↴NaN=NaN","layer":1},{"info":"⊺⇮8320752⪛NaN=NaN","layer":0}]}
{"id":918,"expression_no_base_symbol":"((($7214$∠⫱$2329$)⇪⋭)⨀⨒)⩧⪆(($6869$⇟⨁⪰)⇣⩺⋵(⩰$1208$)⪇≇⋚((≉$2363$)⋷$2838$⫃⨇$5898$))","expression":"(((⊺⇮7214∠⫱⊺⇮2329)⇪⋭)⨀⨒)⩧⪆((⊺⇮6869⇟⨁⪰)⇣⩺⋵(⩰⊺⇮1208)⪇≇⋚((≉⊺⇮2363)⋷⊺⇮2838⫃⨇⊺⇮5898))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":148,"operation_count":11,"complexity_ratio":13.454545454545455,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":7214,"base":10},"right_expr":{"type":"numeric_atoms","value":2329,"base":10}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":6869,"base":10}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1208,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2363,"base":10}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2838,"base":10},"right_expr":{"type":"numeric_atoms","value":5898,"base":10}}}}},"used_operators":["Ikt5ks8PT7","j6NVkjMzuk","Z8Yg6dlDSp","QvoQhV0rrE","3sJ7IOPOlU","F4yD0voBRQ","BX1lVwlMe0","WkeUrDK8WX","23Mk6UjR3U","e1ybzncUwg","09Ly4LVMIf"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","2DDjHMKMc0","xUOZtlo3hN","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7214","layer":4},{"info":"number node, value=2329","layer":4},{"info":"compute binary expreesion, left_input=7214, right_input=2329, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=nan","layer":1},{"info":"number node, value=6869","layer":4},{"info":"compute unary expreesion, input=6869, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-7043","layer":3},{"info":"number node, value=1208","layer":4},{"info":"compute unary expreesion, input=1208, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2208","layer":3},{"info":"compute binary expreesion, left_input=-7043, right_input=-2208, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-23694","layer":2},{"info":"number node, value=2363","layer":4},{"info":"compute unary expreesion, input=2363, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2894","layer":3},{"info":"number node, value=2838","layer":4},{"info":"number node, value=5898","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=5898, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-23624","layer":3},{"info":"compute binary expreesion, left_input=2894, right_input=-23624, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-50142","layer":2},{"info":"compute binary expreesion, left_input=-23694, right_input=-50142, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮7214∠⫱⊺⇮2329)⇪⋭)⨀⨒)⩧⪆((⊺⇮6869⇟⨁⪰)⇣⩺⋵(⩰⊺⇮1208)⪇≇⋚((≉⊺⇮2363)⋷⊺⇮2838⫃⨇⊺⇮5898))=⊺⇮0","reverse_text":"⊺⇮0=(((⊺⇮7214∠⫱⊺⇮2329)⇪⋭)⨀⨒)⩧⪆((⊺⇮6869⇟⨁⪰)⇣⩺⋵(⩰⊺⇮1208)⪇≇⋚((≉⊺⇮2363)⋷⊺⇮2838⫃⨇⊺⇮5898))","cot":[{"info":"⊺⇮7214∠⫱⊺⇮2329=⊺⇮1234","layer":3},{"info":"⊺⇮1234⇪⋭=NaN","layer":2},{"info":"NaN⨀⨒=NaN","layer":1},{"info":"⊺⇮6869⇟⨁⪰=⊺⇮-7043","layer":3},{"info":"⩰⊺⇮1208=⊺⇮-2208","layer":3},{"info":"⊺⇮-7043⇣⩺⋵⊺⇮-2208=⊺⇮-23694","layer":2},{"info":"≉⊺⇮2363=⊺⇮2894","layer":3},{"info":"⊺⇮2838⫃⨇⊺⇮5898=⊺⇮-23624","layer":3},{"info":"⊺⇮2894⋷⊺⇮-23624=⊺⇮-50142","layer":2},{"info":"⊺⇮-23694⪇≇⋚⊺⇮-50142=⊺⇮0","layer":1},{"info":"NaN⩧⪆⊺⇮0=⊺⇮0","layer":0}]}
{"id":919,"expression_no_base_symbol":"((≔$2373$)⫯⪬∳($5757$⪡$3796$)⩹($1684$⪘⫢$2736$)⩖⊿($3149$⊍))⫁⪎(($1354$⨔≚≋$4715$)⊱⇼⊻($2489$⩒⫫$1015$))∳⫺(($4768$⊝⪿⪼$3399$)⨚⇆($1239$+$3097$))","expression":"((≔⊺⇮2373)⫯⪬∳(⊺⇮5757⪡⊺⇮3796)⩹(⊺⇮1684⪘⫢⊺⇮2736)⩖⊿(⊺⇮3149⊍))⫁⪎((⊺⇮1354⨔≚≋⊺⇮4715)⊱⇼⊻(⊺⇮2489⩒⫫⊺⇮1015))∳⫺((⊺⇮4768⊝⪿⪼⊺⇮3399)⨚⇆(⊺⇮1239+⊺⇮3097))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":455546,"operation_count":15,"complexity_ratio":30369.733333333334,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2373,"base":10}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5757,"base":10},"right_expr":{"type":"numeric_atoms","value":3796,"base":10}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1684,"base":10},"right_expr":{"type":"numeric_atoms","value":2736,"base":10}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":3149,"base":10}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1354,"base":10},"right_expr":{"type":"numeric_atoms","value":4715,"base":10}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2489,"base":10},"right_expr":{"type":"numeric_atoms","value":1015,"base":10}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4768,"base":10},"right_expr":{"type":"numeric_atoms","value":3399,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1239,"base":10},"right_expr":{"type":"numeric_atoms","value":3097,"base":10}}}}},"used_operators":["xRrnTEsQ6j","2Wsdkap16l","d7ASUq0ydm","8FLs4eVsLt","oraRL2iQuh","RZ5CV9rWsJ","oacrs7FA3X","3nqY3DE9mg","AzXXKTstlj","FyVja0WsTP","Z57zeUYC9z","KFSx94NKJn","lwHaAYXP2r","3Oe9XWJUTD","W4YGzv6Whe"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⊺⇮49336","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2373","layer":4},{"info":"compute unary expreesion, input=2373, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-65150","layer":3},{"info":"number node, value=5757","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=5757, right_input=3796, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-65150, right_input=107, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=194977","layer":2},{"info":"number node, value=1684","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=2736, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3244","layer":3},{"info":"number node, value=3149","layer":4},{"info":"compute unary expreesion, input=3149, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=7767","layer":3},{"info":"compute binary expreesion, left_input=3244, right_input=7767, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=49078","layer":2},{"info":"compute binary expreesion, left_input=194977, right_input=49078, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=49076","layer":1},{"info":"number node, value=1354","layer":4},{"info":"number node, value=4715","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=4715, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2489","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=2489, right_input=1015, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2187","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=2187, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"number node, value=4768","layer":4},{"info":"number node, value=3399","layer":4},{"info":"compute binary expreesion, left_input=4768, right_input=3399, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=65030","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=3097","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=3097, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4336","layer":3},{"info":"compute binary expreesion, left_input=65030, right_input=4336, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=49076, right_input=-260, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=49336","layer":0}],"base":10,"result_base":10,"text":"((≔⊺⇮2373)⫯⪬∳(⊺⇮5757⪡⊺⇮3796)⩹(⊺⇮1684⪘⫢⊺⇮2736)⩖⊿(⊺⇮3149⊍))⫁⪎((⊺⇮1354⨔≚≋⊺⇮4715)⊱⇼⊻(⊺⇮2489⩒⫫⊺⇮1015))∳⫺((⊺⇮4768⊝⪿⪼⊺⇮3399)⨚⇆(⊺⇮1239+⊺⇮3097))=⊺⇮49336","reverse_text":"⊺⇮49336=((≔⊺⇮2373)⫯⪬∳(⊺⇮5757⪡⊺⇮3796)⩹(⊺⇮1684⪘⫢⊺⇮2736)⩖⊿(⊺⇮3149⊍))⫁⪎((⊺⇮1354⨔≚≋⊺⇮4715)⊱⇼⊻(⊺⇮2489⩒⫫⊺⇮1015))∳⫺((⊺⇮4768⊝⪿⪼⊺⇮3399)⨚⇆(⊺⇮1239+⊺⇮3097))","cot":[{"info":"≔⊺⇮2373=⊺⇮-65150","layer":3},{"info":"⊺⇮5757⪡⊺⇮3796=⊺⇮107","layer":3},{"info":"⊺⇮-65150⫯⪬∳⊺⇮107=⊺⇮194977","layer":2},{"info":"⊺⇮1684⪘⫢⊺⇮2736=⊺⇮3244","layer":3},{"info":"⊺⇮3149⊍=⊺⇮7767","layer":3},{"info":"⊺⇮3244⩖⊿⊺⇮7767=⊺⇮49078","layer":2},{"info":"⊺⇮194977⩹⊺⇮49078=⊺⇮49076","layer":1},{"info":"⊺⇮1354⨔≚≋⊺⇮4715=⊺⇮9872","layer":3},{"info":"⊺⇮2489⩒⫫⊺⇮1015=⊺⇮2187","layer":3},{"info":"⊺⇮9872⊱⇼⊻⊺⇮2187=⊺⇮434","layer":2},{"info":"⊺⇮4768⊝⪿⪼⊺⇮3399=⊺⇮65030","layer":3},{"info":"⊺⇮1239+⊺⇮3097=⊺⇮4336","layer":3},{"info":"⊺⇮65030⨚⇆⊺⇮4336=NaN","layer":2},{"info":"⊺⇮434∳⫺NaN=⊺⇮-260","layer":1},{"info":"⊺⇮49076⫁⪎⊺⇮-260=⊺⇮49336","layer":0}]}
{"id":920,"expression_no_base_symbol":"((⇜⊴$1255$⋭≵$1526$)⫌⩉⩟$3734$⊭↱$5109$⩨$4216$→⨶⪴$4518$)⩌⋺(($1640$⨎⋸⪻)↳≱($4051$⪇≇⋚$4075$)⊎←↗)","expression":"((⇜⊴⊺⇮1255⋭≵⊺⇮1526)⫌⩉⩟⊺⇮3734⊭↱⊺⇮5109⩨⊺⇮4216→⨶⪴⊺⇮4518)⩌⋺((⊺⇮1640⨎⋸⪻)↳≱(⊺⇮4051⪇≇⋚⊺⇮4075)⊎←↗)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2282,"operation_count":11,"complexity_ratio":207.45454545454547,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1255,"base":10},"right_expr":{"type":"numeric_atoms","value":1526,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3734,"base":10},"right_expr":{"type":"numeric_atoms","value":5109,"base":10}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4216,"base":10},"right_expr":{"type":"numeric_atoms","value":4518,"base":10}}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1640,"base":10}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4051,"base":10},"right_expr":{"type":"numeric_atoms","value":4075,"base":10}}}}},"used_operators":["g7Hmc5v1ko","XIIwhv8d0m","XwDhCwWbUn","jBncVCNhdl","2DlMacCsIx","COABgblf1C","bF6eod5Gvf","dwb5p0fa6d","JwTKLfZU96","Dk5vyLCiGd","3sJ7IOPOlU"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","sdazOOVcIp","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","IWmyXbctLI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⊺⇮12489","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1526, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=1434","layer":2},{"info":"number node, value=3734","layer":4},{"info":"number node, value=5109","layer":4},{"info":"compute binary expreesion, left_input=3734, right_input=5109, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2755","layer":3},{"info":"number node, value=4216","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=4216, right_input=4518, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-13554","layer":3},{"info":"compute binary expreesion, left_input=2755, right_input=-13554, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=15","layer":2},{"info":"compute binary expreesion, left_input=1434, right_input=15, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-13295","layer":1},{"info":"number node, value=1640","layer":4},{"info":"compute unary expreesion, input=1640, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=3596","layer":3},{"info":"number node, value=4051","layer":4},{"info":"number node, value=4075","layer":4},{"info":"compute binary expreesion, left_input=4051, right_input=4075, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3596, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=685","layer":1},{"info":"compute binary expreesion, left_input=-13295, right_input=685, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=12489","layer":0}],"base":10,"result_base":10,"text":"((⇜⊴⊺⇮1255⋭≵⊺⇮1526)⫌⩉⩟⊺⇮3734⊭↱⊺⇮5109⩨⊺⇮4216→⨶⪴⊺⇮4518)⩌⋺((⊺⇮1640⨎⋸⪻)↳≱(⊺⇮4051⪇≇⋚⊺⇮4075)⊎←↗)=⊺⇮12489","reverse_text":"⊺⇮12489=((⇜⊴⊺⇮1255⋭≵⊺⇮1526)⫌⩉⩟⊺⇮3734⊭↱⊺⇮5109⩨⊺⇮4216→⨶⪴⊺⇮4518)⩌⋺((⊺⇮1640⨎⋸⪻)↳≱(⊺⇮4051⪇≇⋚⊺⇮4075)⊎←↗)","cot":[{"info":"⊺⇮1255⋭≵⊺⇮1526=⊺⇮67","layer":3},{"info":"⇜⊴⊺⇮67=⊺⇮1434","layer":2},{"info":"⊺⇮3734⊭↱⊺⇮5109=⊺⇮2755","layer":3},{"info":"⊺⇮4216→⨶⪴⊺⇮4518=⊺⇮-13554","layer":3},{"info":"⊺⇮2755⩨⊺⇮-13554=⊺⇮15","layer":2},{"info":"⊺⇮1434⫌⩉⩟⊺⇮15=⊺⇮-13295","layer":1},{"info":"⊺⇮1640⨎⋸⪻=⊺⇮3596","layer":3},{"info":"⊺⇮4051⪇≇⋚⊺⇮4075=⊺⇮0","layer":3},{"info":"⊺⇮3596↳≱⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮0⊎←↗=⊺⇮685","layer":1},{"info":"⊺⇮-13295⩌⋺⊺⇮685=⊺⇮12489","layer":0}]}
{"id":921,"expression_no_base_symbol":"(($2313$∷$5510$)⫢⨠$1085$⊋$1237$∠↢($7165$+$5520$)∺≝⩲($6185$⩵∡$6407$))⇄($3106$≌$1188$≀⩗∶$8791$⨭⪣$3712$⨑≵⋬($3413$⫠)∺≝⩲(⨂⪏⇭$1428$))","expression":"((⊺⇮2313∷⊺⇮5510)⫢⨠⊺⇮1085⊋⊺⇮1237∠↢(⊺⇮7165+⊺⇮5520)∺≝⩲(⊺⇮6185⩵∡⊺⇮6407))⇄(⊺⇮3106≌⊺⇮1188≀⩗∶⊺⇮8791⨭⪣⊺⇮3712⨑≵⋬(⊺⇮3413⫠)∺≝⩲(⨂⪏⇭⊺⇮1428))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":49567,"operation_count":15,"complexity_ratio":3304.4666666666667,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2313,"base":10},"right_expr":{"type":"numeric_atoms","value":5510,"base":10}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1085,"base":10},"right_expr":{"type":"numeric_atoms","value":1237,"base":10}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7165,"base":10},"right_expr":{"type":"numeric_atoms","value":5520,"base":10}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":6185,"base":10},"right_expr":{"type":"numeric_atoms","value":6407,"base":10}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3106,"base":10},"right_expr":{"type":"numeric_atoms","value":1188,"base":10}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":8791,"base":10},"right_expr":{"type":"numeric_atoms","value":3712,"base":10}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":3413,"base":10}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1428,"base":10}}}}},"used_operators":["3EYGwJThht","KbjG8mgYpV","xlXykHWxX1","D3AQDKkPcf","W4tP9CfskL","KPf6cnQVty","W4YGzv6Whe","Y7wcNGrDQJ","XnXgA4xnOs","8INZBEW696","lyWz822IDG","kn8WO9XteQ","6SnOT2rOjz","AYdpE9sXAk"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2313","layer":4},{"info":"number node, value=5510","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=5510, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5510","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1237, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-1045476","layer":3},{"info":"compute binary expreesion, left_input=5510, right_input=-1045476, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=8318458","layer":2},{"info":"number node, value=7165","layer":4},{"info":"number node, value=5520","layer":4},{"info":"compute binary expreesion, left_input=7165, right_input=5520, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12685","layer":3},{"info":"number node, value=6185","layer":4},{"info":"number node, value=6407","layer":4},{"info":"compute binary expreesion, left_input=6185, right_input=6407, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6084","layer":3},{"info":"compute binary expreesion, left_input=12685, right_input=-6084, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=8318458, right_input=160, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-33274990","layer":1},{"info":"number node, value=3106","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=1188, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=8791","layer":4},{"info":"number node, value=3712","layer":4},{"info":"compute binary expreesion, left_input=8791, right_input=3712, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=7512","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7512, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"number node, value=3413","layer":4},{"info":"compute unary expreesion, input=3413, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=1428","layer":4},{"info":"compute unary expreesion, input=1428, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=3305","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3305, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-33274990, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2313∷⊺⇮5510)⫢⨠⊺⇮1085⊋⊺⇮1237∠↢(⊺⇮7165+⊺⇮5520)∺≝⩲(⊺⇮6185⩵∡⊺⇮6407))⇄(⊺⇮3106≌⊺⇮1188≀⩗∶⊺⇮8791⨭⪣⊺⇮3712⨑≵⋬(⊺⇮3413⫠)∺≝⩲(⨂⪏⇭⊺⇮1428))=NaN","reverse_text":"NaN=((⊺⇮2313∷⊺⇮5510)⫢⨠⊺⇮1085⊋⊺⇮1237∠↢(⊺⇮7165+⊺⇮5520)∺≝⩲(⊺⇮6185⩵∡⊺⇮6407))⇄(⊺⇮3106≌⊺⇮1188≀⩗∶⊺⇮8791⨭⪣⊺⇮3712⨑≵⋬(⊺⇮3413⫠)∺≝⩲(⨂⪏⇭⊺⇮1428))","cot":[{"info":"⊺⇮2313∷⊺⇮5510=⊺⇮5510","layer":3},{"info":"⊺⇮1085⊋⊺⇮1237=⊺⇮-1045476","layer":3},{"info":"⊺⇮5510⫢⨠⊺⇮-1045476=⊺⇮8318458","layer":2},{"info":"⊺⇮7165+⊺⇮5520=⊺⇮12685","layer":3},{"info":"⊺⇮6185⩵∡⊺⇮6407=⊺⇮-6084","layer":3},{"info":"⊺⇮12685∺≝⩲⊺⇮-6084=⊺⇮160","layer":2},{"info":"⊺⇮8318458∠↢⊺⇮160=⊺⇮-33274990","layer":1},{"info":"⊺⇮3106≌⊺⇮1188=NaN","layer":3},{"info":"⊺⇮8791⨭⪣⊺⇮3712=⊺⇮7512","layer":3},{"info":"NaN≀⩗∶⊺⇮7512=NaN","layer":2},{"info":"⊺⇮3413⫠=⊺⇮0","layer":3},{"info":"⨂⪏⇭⊺⇮1428=⊺⇮3305","layer":3},{"info":"⊺⇮0∺≝⩲⊺⇮3305=⊺⇮160","layer":2},{"info":"NaN⨑≵⋬⊺⇮160=NaN","layer":1},{"info":"⊺⇮-33274990⇄NaN=NaN","layer":0}]}
{"id":922,"expression_no_base_symbol":"(⨣⨃⇪(($4012$⫩⊇)≥⨤⩑$4358$⇤$3235$))⨸⪁(((↘$4974$)⪒$2636$↬$1015$)⩨(($5613$⇆⨓≜)⊉≛↸$1008$⩍⋽⫝̸$4513$))","expression":"(⨣⨃⇪((⊺⇮4012⫩⊇)≥⨤⩑⊺⇮4358⇤⊺⇮3235))⨸⪁(((↘⊺⇮4974)⪒⊺⇮2636↬⊺⇮1015)⩨((⊺⇮5613⇆⨓≜)⊉≛↸⊺⇮1008⩍⋽⫝̸⊺⇮4513))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":491889,"operation_count":12,"complexity_ratio":40990.75,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4012,"base":10}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4358,"base":10},"right_expr":{"type":"numeric_atoms","value":3235,"base":10}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":4974,"base":10}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2636,"base":10},"right_expr":{"type":"numeric_atoms","value":1015,"base":10}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":5613,"base":10}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1008,"base":10},"right_expr":{"type":"numeric_atoms","value":4513,"base":10}}}}},"used_operators":["g55IO6H4Gj","AcOhelriW5","gJLn6v0xnP","BjRHVeLaeN","YSKBFp38Pu","2DlMacCsIx","f6k1SAg4EE","LdNpr8hQHL","B5M0gjZbta","DZ8iAZOCBD","KvvgdUaMHJ","BiWNJpBvwn"],"dependent_operators":["W4YGzv6Whe","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","KYD54nUTWz","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4012","layer":4},{"info":"compute unary expreesion, input=4012, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3970","layer":3},{"info":"number node, value=4358","layer":4},{"info":"number node, value=3235","layer":4},{"info":"compute binary expreesion, left_input=4358, right_input=3235, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-35117","layer":3},{"info":"compute binary expreesion, left_input=-3970, right_input=-35117, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=4974","layer":4},{"info":"compute unary expreesion, input=4974, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=270","layer":3},{"info":"number node, value=2636","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=1015, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=270, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=5613","layer":4},{"info":"compute unary expreesion, input=5613, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=4513","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=4513, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3567","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3567, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⨣⨃⇪((⊺⇮4012⫩⊇)≥⨤⩑⊺⇮4358⇤⊺⇮3235))⨸⪁(((↘⊺⇮4974)⪒⊺⇮2636↬⊺⇮1015)⩨((⊺⇮5613⇆⨓≜)⊉≛↸⊺⇮1008⩍⋽⫝̸⊺⇮4513))=NaN","reverse_text":"NaN=(⨣⨃⇪((⊺⇮4012⫩⊇)≥⨤⩑⊺⇮4358⇤⊺⇮3235))⨸⪁(((↘⊺⇮4974)⪒⊺⇮2636↬⊺⇮1015)⩨((⊺⇮5613⇆⨓≜)⊉≛↸⊺⇮1008⩍⋽⫝̸⊺⇮4513))","cot":[{"info":"⊺⇮4012⫩⊇=⊺⇮-3970","layer":3},{"info":"⊺⇮4358⇤⊺⇮3235=⊺⇮-35117","layer":3},{"info":"⊺⇮-3970≥⨤⩑⊺⇮-35117=NaN","layer":2},{"info":"⨣⨃⇪NaN=⊺⇮1405","layer":1},{"info":"↘⊺⇮4974=⊺⇮270","layer":3},{"info":"⊺⇮2636↬⊺⇮1015=NaN","layer":3},{"info":"⊺⇮270⪒NaN=NaN","layer":2},{"info":"⊺⇮5613⇆⨓≜=NaN","layer":3},{"info":"⊺⇮1008⩍⋽⫝̸⊺⇮4513=⊺⇮3567","layer":3},{"info":"NaN⊉≛↸⊺⇮3567=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⊺⇮1405⨸⪁NaN=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"(($1679$∽$2232$)⨑≵⋬($1971$⨴∎)∲⫓$6284$⪶≀⋏$5015$⋻⩜⩜$1035$⋛$3380$)⪢(($3429$⇡⇂$1932$⫿)⪡(($1196$⨳⩥⨓$1316$)⇴∐$3314$⪶≀⋏$6614$))","expression":"((⊺⇮1679∽⊺⇮2232)⨑≵⋬(⊺⇮1971⨴∎)∲⫓⊺⇮6284⪶≀⋏⊺⇮5015⋻⩜⩜⊺⇮1035⋛⊺⇮3380)⪢((⊺⇮3429⇡⇂⊺⇮1932⫿)⪡((⊺⇮1196⨳⩥⨓⊺⇮1316)⇴∐⊺⇮3314⪶≀⋏⊺⇮6614))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1735531,"operation_count":14,"complexity_ratio":123966.5,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1679,"base":10},"right_expr":{"type":"numeric_atoms","value":2232,"base":10}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":1971,"base":10}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":6284,"base":10},"right_expr":{"type":"numeric_atoms","value":5015,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1035,"base":10},"right_expr":{"type":"numeric_atoms","value":3380,"base":10}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3429,"base":10},"right_expr":{"type":"numeric_atoms","value":1932,"base":10}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1196,"base":10},"right_expr":{"type":"numeric_atoms","value":1316,"base":10}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3314,"base":10},"right_expr":{"type":"numeric_atoms","value":6614,"base":10}}}}},"used_operators":["dWAJyo7jo9","i8ToyICDmI","XnXgA4xnOs","y4ImoPnbV5","CpSg5vQTgA","oDCm7WA9JY","zR4jO40bMj","YbUVn0Rbpy","oraRL2iQuh","9tKT6PmtkH","UMwdvZNt44","HnzytWxmAO","nCS4ZIUYfx"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","QMFrweE19q","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1679","layer":4},{"info":"number node, value=2232","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=2232, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-14913","layer":3},{"info":"number node, value=1971","layer":4},{"info":"compute unary expreesion, input=1971, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-14913, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"number node, value=6284","layer":4},{"info":"number node, value=5015","layer":4},{"info":"compute binary expreesion, left_input=6284, right_input=5015, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-29114","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=3380","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=3380, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-122877","layer":3},{"info":"compute binary expreesion, left_input=-29114, right_input=-122877, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=3429","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=3429, right_input=1932, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=nan","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1316, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=120","layer":3},{"info":"number node, value=3314","layer":4},{"info":"number node, value=6614","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=6614, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-23402","layer":3},{"info":"compute binary expreesion, left_input=120, right_input=-23402, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1679∽⊺⇮2232)⨑≵⋬(⊺⇮1971⨴∎)∲⫓⊺⇮6284⪶≀⋏⊺⇮5015⋻⩜⩜⊺⇮1035⋛⊺⇮3380)⪢((⊺⇮3429⇡⇂⊺⇮1932⫿)⪡((⊺⇮1196⨳⩥⨓⊺⇮1316)⇴∐⊺⇮3314⪶≀⋏⊺⇮6614))=NaN","reverse_text":"NaN=((⊺⇮1679∽⊺⇮2232)⨑≵⋬(⊺⇮1971⨴∎)∲⫓⊺⇮6284⪶≀⋏⊺⇮5015⋻⩜⩜⊺⇮1035⋛⊺⇮3380)⪢((⊺⇮3429⇡⇂⊺⇮1932⫿)⪡((⊺⇮1196⨳⩥⨓⊺⇮1316)⇴∐⊺⇮3314⪶≀⋏⊺⇮6614))","cot":[{"info":"⊺⇮1679∽⊺⇮2232=⊺⇮-14913","layer":3},{"info":"⊺⇮1971⨴∎=NaN","layer":3},{"info":"⊺⇮-14913⨑≵⋬NaN=NaN","layer":2},{"info":"⊺⇮6284⪶≀⋏⊺⇮5015=⊺⇮-29114","layer":3},{"info":"⊺⇮1035⋛⊺⇮3380=⊺⇮-122877","layer":3},{"info":"⊺⇮-29114⋻⩜⩜⊺⇮-122877=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⊺⇮3429⇡⇂⊺⇮1932=NaN","layer":3},{"info":"NaN⫿=NaN","layer":2},{"info":"⊺⇮1196⨳⩥⨓⊺⇮1316=⊺⇮120","layer":3},{"info":"⊺⇮3314⪶≀⋏⊺⇮6614=⊺⇮-23402","layer":3},{"info":"⊺⇮120⇴∐⊺⇮-23402=⊺⇮-116","layer":2},{"info":"NaN⪡⊺⇮-116=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"(($1036$⫩)⋻⩜⩜$7435$⋛$1575$)⫉⨲⊜($6100$⨼⩣$1512$↸$1683$∳⫺$3967$)⩺⋐⫨","expression":"((⊺⇮1036⫩)⋻⩜⩜⊺⇮7435⋛⊺⇮1575)⫉⨲⊜(⊺⇮6100⨼⩣⊺⇮1512↸⊺⇮1683∳⫺⊺⇮3967)⩺⋐⫨","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":915680,"operation_count":8,"complexity_ratio":114460.0,"tree":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1036,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":7435,"base":10},"right_expr":{"type":"numeric_atoms","value":1575,"base":10}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":6100,"base":10},"right_expr":{"type":"numeric_atoms","value":1512,"base":10}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1683,"base":10},"right_expr":{"type":"numeric_atoms","value":3967,"base":10}}}}},"used_operators":["yS9ePUuUdn","WhqkvtTD3t","oDCm7WA9JY","6aG7x05OhS","YbUVn0Rbpy","1eCjFl0mb9","JxwMv5le6e","AzXXKTstlj"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","eewbuw0ToL","zVYPLywUTj","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=7435","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=7435, right_input=1575, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-65277","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-65277, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=6100","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=6100, right_input=1512, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1683","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=3967, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-1140","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1140, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1036⫩)⋻⩜⩜⊺⇮7435⋛⊺⇮1575)⫉⨲⊜(⊺⇮6100⨼⩣⊺⇮1512↸⊺⇮1683∳⫺⊺⇮3967)⩺⋐⫨=NaN","reverse_text":"NaN=((⊺⇮1036⫩)⋻⩜⩜⊺⇮7435⋛⊺⇮1575)⫉⨲⊜(⊺⇮6100⨼⩣⊺⇮1512↸⊺⇮1683∳⫺⊺⇮3967)⩺⋐⫨","cot":[{"info":"⊺⇮1036⫩=NaN","layer":3},{"info":"⊺⇮7435⋛⊺⇮1575=⊺⇮-65277","layer":3},{"info":"NaN⋻⩜⩜⊺⇮-65277=NaN","layer":2},{"info":"⊺⇮6100⨼⩣⊺⇮1512=NaN","layer":3},{"info":"⊺⇮1683∳⫺⊺⇮3967=⊺⇮-1140","layer":3},{"info":"NaN↸⊺⇮-1140=NaN","layer":2},{"info":"NaN⫉⨲⊜NaN=NaN","layer":1},{"info":"NaN⩺⋐⫨=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"(($3488$⫲≸⪮$4245$)⋣⋖($3502$⪡$2665$))↓(($1213$∙∹∝$1555$)⋘⨑⨽)⊹∫⫚(⨙⪌($4728$∽$1033$))⪝(($4393$⫡⨏$8586$)≦↸(↑$1818$))","expression":"((⊺⇮3488⫲≸⪮⊺⇮4245)⋣⋖(⊺⇮3502⪡⊺⇮2665))↓((⊺⇮1213∙∹∝⊺⇮1555)⋘⨑⨽)⊹∫⫚(⨙⪌(⊺⇮4728∽⊺⇮1033))⪝((⊺⇮4393⫡⨏⊺⇮8586)≦↸(↑⊺⇮1818))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19448,"operation_count":13,"complexity_ratio":1496.0,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3488,"base":10},"right_expr":{"type":"numeric_atoms","value":4245,"base":10}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3502,"base":10},"right_expr":{"type":"numeric_atoms","value":2665,"base":10}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1213,"base":10},"right_expr":{"type":"numeric_atoms","value":1555,"base":10}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4728,"base":10},"right_expr":{"type":"numeric_atoms","value":1033,"base":10}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4393,"base":10},"right_expr":{"type":"numeric_atoms","value":8586,"base":10}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1818,"base":10}}}}},"used_operators":["uWAJUKEvyW","Af076pWI7l","J0M6qkBnIM","P3lXMJvFrc","oraRL2iQuh","WmT3o8z6ya","HmxsFra2vL","wicAB68Tmb","vEGLkm4Z2k","y4ImoPnbV5","RygbFNSyEJ","QMFrweE19q","tR7O2zTn5j"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","NTOWxs364D","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"⊺⇮-380","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3488","layer":4},{"info":"number node, value=4245","layer":4},{"info":"compute binary expreesion, left_input=3488, right_input=4245, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3488","layer":3},{"info":"number node, value=3502","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=3502, right_input=2665, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=3488, right_input=107, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3488","layer":2},{"info":"number node, value=1213","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=1555, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=783","layer":2},{"info":"compute binary expreesion, left_input=3488, right_input=783, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=4728","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=4728, right_input=1033, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-26561","layer":3},{"info":"compute unary expreesion, input=-26561, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=4393","layer":4},{"info":"number node, value=8586","layer":4},{"info":"compute binary expreesion, left_input=4393, right_input=8586, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=39920","layer":3},{"info":"number node, value=1818","layer":4},{"info":"compute unary expreesion, input=1818, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=39920, right_input=192, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-79543","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-79543, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-322043","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-322043, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-380","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3488⫲≸⪮⊺⇮4245)⋣⋖(⊺⇮3502⪡⊺⇮2665))↓((⊺⇮1213∙∹∝⊺⇮1555)⋘⨑⨽)⊹∫⫚(⨙⪌(⊺⇮4728∽⊺⇮1033))⪝((⊺⇮4393⫡⨏⊺⇮8586)≦↸(↑⊺⇮1818))=⊺⇮-380","reverse_text":"⊺⇮-380=((⊺⇮3488⫲≸⪮⊺⇮4245)⋣⋖(⊺⇮3502⪡⊺⇮2665))↓((⊺⇮1213∙∹∝⊺⇮1555)⋘⨑⨽)⊹∫⫚(⨙⪌(⊺⇮4728∽⊺⇮1033))⪝((⊺⇮4393⫡⨏⊺⇮8586)≦↸(↑⊺⇮1818))","cot":[{"info":"⊺⇮3488⫲≸⪮⊺⇮4245=⊺⇮3488","layer":3},{"info":"⊺⇮3502⪡⊺⇮2665=⊺⇮107","layer":3},{"info":"⊺⇮3488⋣⋖⊺⇮107=⊺⇮3488","layer":2},{"info":"⊺⇮1213∙∹∝⊺⇮1555=⊺⇮0","layer":3},{"info":"⊺⇮0⋘⨑⨽=⊺⇮783","layer":2},{"info":"⊺⇮3488↓⊺⇮783=⊺⇮-134","layer":1},{"info":"⊺⇮4728∽⊺⇮1033=⊺⇮-26561","layer":3},{"info":"⨙⪌⊺⇮-26561=⊺⇮868","layer":2},{"info":"⊺⇮4393⫡⨏⊺⇮8586=⊺⇮39920","layer":3},{"info":"↑⊺⇮1818=⊺⇮192","layer":3},{"info":"⊺⇮39920≦↸⊺⇮192=⊺⇮-79543","layer":2},{"info":"⊺⇮868⪝⊺⇮-79543=⊺⇮-322043","layer":1},{"info":"⊺⇮-134⊹∫⫚⊺⇮-322043=⊺⇮-380","layer":0}]}
{"id":926,"expression_no_base_symbol":"≱⇩⩕(⊁⨺($1443$⪨≂$1480$))⨐⩸⫘($1640$⊉≛↸$3419$)⪔$2666$⊋$1197$","expression":"≱⇩⩕(⊁⨺(⊺⇮1443⪨≂⊺⇮1480))⨐⩸⫘(⊺⇮1640⊉≛↸⊺⇮3419)⪔⊺⇮2666⊋⊺⇮1197","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":208390,"operation_count":7,"complexity_ratio":29770.0,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1443,"base":10},"right_expr":{"type":"numeric_atoms","value":1480,"base":10}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1640,"base":10},"right_expr":{"type":"numeric_atoms","value":3419,"base":10}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2666,"base":10},"right_expr":{"type":"numeric_atoms","value":1197,"base":10}}}}},"used_operators":["3DZMoQKiUl","fu6greOZ01","PxiHyQbrIp","sdazOOVcIp","GjBEYRfMaF","DZ8iAZOCBD","W4tP9CfskL"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","3ViojmjbAp","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⊺⇮3781","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1443","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=1480, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=28","layer":3},{"info":"compute unary expreesion, input=28, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"number node, value=1640","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=3419, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3280","layer":3},{"info":"number node, value=2666","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=1197, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=13469456","layer":3},{"info":"compute binary expreesion, left_input=3280, right_input=13469456, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=450, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-453","layer":1},{"info":"compute unary expreesion, input=-453, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=3781","layer":0}],"base":10,"result_base":10,"text":"≱⇩⩕(⊁⨺(⊺⇮1443⪨≂⊺⇮1480))⨐⩸⫘(⊺⇮1640⊉≛↸⊺⇮3419)⪔⊺⇮2666⊋⊺⇮1197=⊺⇮3781","reverse_text":"⊺⇮3781=≱⇩⩕(⊁⨺(⊺⇮1443⪨≂⊺⇮1480))⨐⩸⫘(⊺⇮1640⊉≛↸⊺⇮3419)⪔⊺⇮2666⊋⊺⇮1197","cot":[{"info":"⊺⇮1443⪨≂⊺⇮1480=⊺⇮28","layer":3},{"info":"⊁⨺⊺⇮28=⊺⇮160","layer":2},{"info":"⊺⇮1640⊉≛↸⊺⇮3419=⊺⇮3280","layer":3},{"info":"⊺⇮2666⊋⊺⇮1197=⊺⇮13469456","layer":3},{"info":"⊺⇮3280⪔⊺⇮13469456=⊺⇮450","layer":2},{"info":"⊺⇮160⨐⩸⫘⊺⇮450=⊺⇮-453","layer":1},{"info":"≱⇩⩕⊺⇮-453=⊺⇮3781","layer":0}]}
{"id":927,"expression_no_base_symbol":"⨈⪑((⫇$4597$)%$2639$∥⊢⊲$1047$)≴⪞⇿(⩪∧⨌($5331$∽$2345$))","expression":"⨈⪑((⫇⊺⇮4597)%⊺⇮2639∥⊢⊲⊺⇮1047)≴⪞⇿(⩪∧⨌(⊺⇮5331∽⊺⇮2345))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":155,"operation_count":7,"complexity_ratio":22.142857142857142,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":4597,"base":10}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2639,"base":10},"right_expr":{"type":"numeric_atoms","value":1047,"base":10}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5331,"base":10},"right_expr":{"type":"numeric_atoms","value":2345,"base":10}}}}},"used_operators":["mp94q5OcYM","lvlrscuwVU","k8jYdgA6NY","YjI8oCXuph","v1UQAVDJRr","6iOiAJX1F8","y4ImoPnbV5"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4597","layer":4},{"info":"compute unary expreesion, input=4597, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-7980","layer":3},{"info":"number node, value=2639","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=1047, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7980, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5331","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=5331, right_input=2345, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-33512","layer":3},{"info":"compute unary expreesion, input=-33512, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-335120","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-335120, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨈⪑((⫇⊺⇮4597)%⊺⇮2639∥⊢⊲⊺⇮1047)≴⪞⇿(⩪∧⨌(⊺⇮5331∽⊺⇮2345))=NaN","reverse_text":"NaN=⨈⪑((⫇⊺⇮4597)%⊺⇮2639∥⊢⊲⊺⇮1047)≴⪞⇿(⩪∧⨌(⊺⇮5331∽⊺⇮2345))","cot":[{"info":"⫇⊺⇮4597=⊺⇮-7980","layer":3},{"info":"⊺⇮2639∥⊢⊲⊺⇮1047=NaN","layer":3},{"info":"⊺⇮-7980%NaN=NaN","layer":2},{"info":"⊺⇮5331∽⊺⇮2345=⊺⇮-33512","layer":3},{"info":"⩪∧⨌⊺⇮-33512=⊺⇮-335120","layer":2},{"info":"NaN≴⪞⇿⊺⇮-335120=NaN","layer":1},{"info":"⨈⪑NaN=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"(⋎⨆$2106$)⨼⩣($1539$⪒$1110$)≎⊠⪸((⨝⨆$2862$)⫌⩹⨱)⫔⩽⩺$7718$⇂≾⫗$1651$⋕⪉⪜($2829$⪶≀⋏$1866$)⫲≸⪮(⊈($1021$⊹∫⫚$1091$))","expression":"(⋎⨆⊺⇮2106)⨼⩣(⊺⇮1539⪒⊺⇮1110)≎⊠⪸((⨝⨆⊺⇮2862)⫌⩹⨱)⫔⩽⩺⊺⇮7718⇂≾⫗⊺⇮1651⋕⪉⪜(⊺⇮2829⪶≀⋏⊺⇮1866)⫲≸⪮(⊈(⊺⇮1021⊹∫⫚⊺⇮1091))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11299,"operation_count":13,"complexity_ratio":869.1538461538462,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2106,"base":10}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1539,"base":10},"right_expr":{"type":"numeric_atoms","value":1110,"base":10}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2862,"base":10}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":7718,"base":10},"right_expr":{"type":"numeric_atoms","value":1651,"base":10}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2829,"base":10},"right_expr":{"type":"numeric_atoms","value":1866,"base":10}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1021,"base":10},"right_expr":{"type":"numeric_atoms","value":1091,"base":10}}}}},"used_operators":["i9eR4S00cU","bJkvcejdHO","JxwMv5le6e","E64sFOc4tB","f6k1SAg4EE","EBcxylXtPf","bQ67fsrMVf","P3lXMJvFrc","z6LnFrNh4i","aBQ6xLxuTc","zR4jO40bMj","RHru8klgy8","uWAJUKEvyW"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","12rbrZMWeM","xUOZtlo3hN","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2106","layer":4},{"info":"compute unary expreesion, input=2106, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1539","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=1110, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2649","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2649, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2862","layer":4},{"info":"compute unary expreesion, input=2862, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2653","layer":3},{"info":"compute unary expreesion, input=2653, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6707","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6707, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=7718","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=7718, right_input=1651, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2829","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=1866, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12451","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-12451, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1091, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-388","layer":3},{"info":"compute unary expreesion, input=-388, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=214","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=214, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⋎⨆⊺⇮2106)⨼⩣(⊺⇮1539⪒⊺⇮1110)≎⊠⪸((⨝⨆⊺⇮2862)⫌⩹⨱)⫔⩽⩺⊺⇮7718⇂≾⫗⊺⇮1651⋕⪉⪜(⊺⇮2829⪶≀⋏⊺⇮1866)⫲≸⪮(⊈(⊺⇮1021⊹∫⫚⊺⇮1091))=NaN","reverse_text":"NaN=(⋎⨆⊺⇮2106)⨼⩣(⊺⇮1539⪒⊺⇮1110)≎⊠⪸((⨝⨆⊺⇮2862)⫌⩹⨱)⫔⩽⩺⊺⇮7718⇂≾⫗⊺⇮1651⋕⪉⪜(⊺⇮2829⪶≀⋏⊺⇮1866)⫲≸⪮(⊈(⊺⇮1021⊹∫⫚⊺⇮1091))","cot":[{"info":"⋎⨆⊺⇮2106=⊺⇮0","layer":3},{"info":"⊺⇮1539⪒⊺⇮1110=⊺⇮-2649","layer":3},{"info":"⊺⇮0⨼⩣⊺⇮-2649=NaN","layer":2},{"info":"⨝⨆⊺⇮2862=⊺⇮2653","layer":3},{"info":"⊺⇮2653⫌⩹⨱=⊺⇮6707","layer":2},{"info":"NaN≎⊠⪸⊺⇮6707=NaN","layer":1},{"info":"⊺⇮7718⇂≾⫗⊺⇮1651=⊺⇮-676","layer":3},{"info":"⊺⇮2829⪶≀⋏⊺⇮1866=⊺⇮-12451","layer":3},{"info":"⊺⇮-676⋕⪉⪜⊺⇮-12451=⊺⇮2802","layer":2},{"info":"⊺⇮1021⊹∫⫚⊺⇮1091=⊺⇮-388","layer":3},{"info":"⊈⊺⇮-388=⊺⇮214","layer":2},{"info":"⊺⇮2802⫲≸⪮⊺⇮214=⊺⇮2802","layer":1},{"info":"NaN⫔⩽⩺⊺⇮2802=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"(↯⪼($1460$∥⊢⊲$5368$⫲≸⪮(≻⋜$1679$)))⪘⫢$3297$≎⪠$1856$⩌⋺($1310$⪢$2900$)⋛($2294$⫡⨏$1356$)⇂≾⫗($4093$↑)","expression":"(↯⪼(⊺⇮1460∥⊢⊲⊺⇮5368⫲≸⪮(≻⋜⊺⇮1679)))⪘⫢⊺⇮3297≎⪠⊺⇮1856⩌⋺(⊺⇮1310⪢⊺⇮2900)⋛(⊺⇮2294⫡⨏⊺⇮1356)⇂≾⫗(⊺⇮4093↑)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":29803,"operation_count":12,"complexity_ratio":2483.5833333333335,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1460,"base":10},"right_expr":{"type":"numeric_atoms","value":5368,"base":10}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1679,"base":10}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3297,"base":10},"right_expr":{"type":"numeric_atoms","value":1856,"base":10}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1310,"base":10},"right_expr":{"type":"numeric_atoms","value":2900,"base":10}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2294,"base":10},"right_expr":{"type":"numeric_atoms","value":1356,"base":10}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":4093,"base":10}}}}},"used_operators":["oacrs7FA3X","8jW3W4yZS5","P3lXMJvFrc","v1UQAVDJRr","3tj9sqzovi","YbUVn0Rbpy","g7Hmc5v1ko","aNhz54LH3e","dWAJyo7jo9","aBQ6xLxuTc","QMFrweE19q","BThhyOhh10"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","EBcxylXtPf","rGHVDoGpnC","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","k8jYdgA6NY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq"],"result":"⊺⇮-1","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1460","layer":4},{"info":"number node, value=5368","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=5368, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1679","layer":4},{"info":"compute unary expreesion, input=1679, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=3297","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=1856, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1310","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=2900, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"number node, value=2294","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1356, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14965","layer":3},{"info":"number node, value=4093","layer":4},{"info":"compute unary expreesion, input=4093, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=14965, right_input=222, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-1365","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-1365, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":10,"result_base":10,"text":"(↯⪼(⊺⇮1460∥⊢⊲⊺⇮5368⫲≸⪮(≻⋜⊺⇮1679)))⪘⫢⊺⇮3297≎⪠⊺⇮1856⩌⋺(⊺⇮1310⪢⊺⇮2900)⋛(⊺⇮2294⫡⨏⊺⇮1356)⇂≾⫗(⊺⇮4093↑)=⊺⇮-1","reverse_text":"⊺⇮-1=(↯⪼(⊺⇮1460∥⊢⊲⊺⇮5368⫲≸⪮(≻⋜⊺⇮1679)))⪘⫢⊺⇮3297≎⪠⊺⇮1856⩌⋺(⊺⇮1310⪢⊺⇮2900)⋛(⊺⇮2294⫡⨏⊺⇮1356)⇂≾⫗(⊺⇮4093↑)","cot":[{"info":"⊺⇮1460∥⊢⊲⊺⇮5368=NaN","layer":3},{"info":"≻⋜⊺⇮1679=NaN","layer":3},{"info":"NaN⫲≸⪮NaN=NaN","layer":2},{"info":"↯⪼NaN=⊺⇮-21","layer":1},{"info":"⊺⇮3297≎⪠⊺⇮1856=⊺⇮19558","layer":3},{"info":"⊺⇮1310⪢⊺⇮2900=NaN","layer":3},{"info":"⊺⇮19558⩌⋺NaN=NaN","layer":2},{"info":"⊺⇮2294⫡⨏⊺⇮1356=⊺⇮14965","layer":3},{"info":"⊺⇮4093↑=⊺⇮222","layer":3},{"info":"⊺⇮14965⇂≾⫗⊺⇮222=⊺⇮-670","layer":2},{"info":"NaN⋛⊺⇮-670=⊺⇮-1365","layer":1},{"info":"⊺⇮-21⪘⫢⊺⇮-1365=⊺⇮-1","layer":0}]}
{"id":930,"expression_no_base_symbol":"⨵≀≌(∮(⇋⊎⋝($1317$↙$1377$)))","expression":"⨵≀≌(∮(⇋⊎⋝(⊺⇮1317↙⊺⇮1377)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5539,"operation_count":4,"complexity_ratio":1384.75,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1317,"base":10},"right_expr":{"type":"numeric_atoms","value":1377,"base":10}}}}},"used_operators":["srAu1WTS94","CqXKPLVYql","CzM2PEoXns","yyfyN0ffXY"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1377, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4131","layer":3},{"info":"compute unary expreesion, input=-4131, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⨵≀≌(∮(⇋⊎⋝(⊺⇮1317↙⊺⇮1377)))=NaN","reverse_text":"NaN=⨵≀≌(∮(⇋⊎⋝(⊺⇮1317↙⊺⇮1377)))","cot":[{"info":"⊺⇮1317↙⊺⇮1377=⊺⇮-4131","layer":3},{"info":"⇋⊎⋝⊺⇮-4131=NaN","layer":2},{"info":"∮NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"(⪸($1807$≁$1635$∇⊂⋱(↪⫪⫘$6087$)))∛≔","expression":"(⪸(⊺⇮1807≁⊺⇮1635∇⊂⋱(↪⫪⫘⊺⇮6087)))∛≔","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":876554,"operation_count":5,"complexity_ratio":175310.8,"tree":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1807,"base":10},"right_expr":{"type":"numeric_atoms","value":1635,"base":10}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":6087,"base":10}}}}},"used_operators":["mGnSCrte3L","86A5ENbKR9","nhYeJWJD5X","8N2wDY1A35","9dWsAM3GFt"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"⊺⇮-305287","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1807","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=1635, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=26039","layer":3},{"info":"number node, value=6087","layer":4},{"info":"compute unary expreesion, input=6087, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=26039, right_input=20, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=51532","layer":2},{"info":"compute unary expreesion, input=51532, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-875835","layer":1},{"info":"compute unary expreesion, input=-875835, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":0}],"base":10,"result_base":10,"text":"(⪸(⊺⇮1807≁⊺⇮1635∇⊂⋱(↪⫪⫘⊺⇮6087)))∛≔=⊺⇮-305287","reverse_text":"⊺⇮-305287=(⪸(⊺⇮1807≁⊺⇮1635∇⊂⋱(↪⫪⫘⊺⇮6087)))∛≔","cot":[{"info":"⊺⇮1807≁⊺⇮1635=⊺⇮26039","layer":3},{"info":"↪⫪⫘⊺⇮6087=⊺⇮20","layer":3},{"info":"⊺⇮26039∇⊂⋱⊺⇮20=⊺⇮51532","layer":2},{"info":"⪸⊺⇮51532=⊺⇮-875835","layer":1},{"info":"⊺⇮-875835∛≔=⊺⇮-305287","layer":0}]}
{"id":932,"expression_no_base_symbol":"($1515$≁↽≥$2681$⨰($4664$⫌⩹⨱)+⇶⊼($2318$⩵∡$2345$)⨫⇇↔$1285$∣$4071$)⇡⇂(((⇘$1602$)⫽⇹≛)∑⇟⊟((⫇$1869$)⪨⊡$1232$↳≱$4905$))","expression":"(⊺⇮1515≁↽≥⊺⇮2681⨰(⊺⇮4664⫌⩹⨱)+⇶⊼(⊺⇮2318⩵∡⊺⇮2345)⨫⇇↔⊺⇮1285∣⊺⇮4071)⇡⇂(((⇘⊺⇮1602)⫽⇹≛)∑⇟⊟((⫇⊺⇮1869)⪨⊡⊺⇮1232↳≱⊺⇮4905))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":626375,"operation_count":14,"complexity_ratio":44741.07142857143,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1515,"base":10},"right_expr":{"type":"numeric_atoms","value":2681,"base":10}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4664,"base":10}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2318,"base":10},"right_expr":{"type":"numeric_atoms","value":2345,"base":10}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1285,"base":10},"right_expr":{"type":"numeric_atoms","value":4071,"base":10}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1602,"base":10}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1869,"base":10}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1232,"base":10},"right_expr":{"type":"numeric_atoms","value":4905,"base":10}}}}},"used_operators":["UMwdvZNt44","TpPTUOHfaN","eewbuw0ToL","ncHt1X6cMc","EBcxylXtPf","LXhwmt4mBO","Y7wcNGrDQJ","PPChnnnBFF","U7g4x0WXJJ","NNaDxxp6OQ","MGuIdZPyUC","kuIXHzHcAH","YjI8oCXuph","JwTKLfZU96"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":4},{"info":"number node, value=2681","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=2681, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=32657","layer":3},{"info":"number node, value=4664","layer":4},{"info":"compute unary expreesion, input=4664, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10729","layer":3},{"info":"compute binary expreesion, left_input=32657, right_input=10729, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=21938","layer":2},{"info":"number node, value=2318","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=2345, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2412","layer":3},{"info":"number node, value=1285","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=4071, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1285","layer":3},{"info":"compute binary expreesion, left_input=-2412, right_input=1285, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=21938, right_input=-527, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1602","layer":4},{"info":"compute unary expreesion, input=1602, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=90502","layer":3},{"info":"compute unary expreesion, input=90502, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2524","layer":3},{"info":"number node, value=1232","layer":4},{"info":"number node, value=4905","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=4905, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2524, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=789, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1515≁↽≥⊺⇮2681⨰(⊺⇮4664⫌⩹⨱)+⇶⊼(⊺⇮2318⩵∡⊺⇮2345)⨫⇇↔⊺⇮1285∣⊺⇮4071)⇡⇂(((⇘⊺⇮1602)⫽⇹≛)∑⇟⊟((⫇⊺⇮1869)⪨⊡⊺⇮1232↳≱⊺⇮4905))=NaN","reverse_text":"NaN=(⊺⇮1515≁↽≥⊺⇮2681⨰(⊺⇮4664⫌⩹⨱)+⇶⊼(⊺⇮2318⩵∡⊺⇮2345)⨫⇇↔⊺⇮1285∣⊺⇮4071)⇡⇂(((⇘⊺⇮1602)⫽⇹≛)∑⇟⊟((⫇⊺⇮1869)⪨⊡⊺⇮1232↳≱⊺⇮4905))","cot":[{"info":"⊺⇮1515≁↽≥⊺⇮2681=⊺⇮32657","layer":3},{"info":"⊺⇮4664⫌⩹⨱=⊺⇮10729","layer":3},{"info":"⊺⇮32657⨰⊺⇮10729=⊺⇮21938","layer":2},{"info":"⊺⇮2318⩵∡⊺⇮2345=⊺⇮-2412","layer":3},{"info":"⊺⇮1285∣⊺⇮4071=⊺⇮1285","layer":3},{"info":"⊺⇮-2412⨫⇇↔⊺⇮1285=⊺⇮-527","layer":2},{"info":"⊺⇮21938+⇶⊼⊺⇮-527=NaN","layer":1},{"info":"⇘⊺⇮1602=⊺⇮90502","layer":3},{"info":"⊺⇮90502⫽⇹≛=⊺⇮272","layer":2},{"info":"⫇⊺⇮1869=⊺⇮-2524","layer":3},{"info":"⊺⇮1232↳≱⊺⇮4905=⊺⇮0","layer":3},{"info":"⊺⇮-2524⪨⊡⊺⇮0=⊺⇮789","layer":2},{"info":"⊺⇮272∑⇟⊟⊺⇮789=NaN","layer":1},{"info":"NaN⇡⇂NaN=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"∟⋨((⨈⫕(↔$3460$))⇮⋭(⨮↦↱$1726$)↡⊰⫅$1145$⊲⩕⊾$1917$)","expression":"∟⋨((⨈⫕(↔⊺⇮3460))⇮⋭(⨮↦↱⊺⇮1726)↡⊰⫅⊺⇮1145⊲⩕⊾⊺⇮1917)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":479509,"operation_count":7,"complexity_ratio":68501.28571428571,"tree":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3460,"base":10}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1726,"base":10}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1145,"base":10},"right_expr":{"type":"numeric_atoms","value":1917,"base":10}}}}},"used_operators":["ctOc4cKSDt","vkpjKywKVM","megm06wKyl","ruOEQAzv1W","VCtxkLNOzz","sYcpBQ0cFf","DmTXOeWf9t"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⊺⇮417","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3460","layer":4},{"info":"compute unary expreesion, input=3460, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3187","layer":3},{"info":"compute unary expreesion, input=-3187, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1726","layer":4},{"info":"compute unary expreesion, input=1726, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-4555674","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=1917, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-34120","layer":3},{"info":"compute binary expreesion, left_input=-4555674, right_input=-34120, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=417","layer":0}],"base":10,"result_base":10,"text":"∟⋨((⨈⫕(↔⊺⇮3460))⇮⋭(⨮↦↱⊺⇮1726)↡⊰⫅⊺⇮1145⊲⩕⊾⊺⇮1917)=⊺⇮417","reverse_text":"⊺⇮417=∟⋨((⨈⫕(↔⊺⇮3460))⇮⋭(⨮↦↱⊺⇮1726)↡⊰⫅⊺⇮1145⊲⩕⊾⊺⇮1917)","cot":[{"info":"↔⊺⇮3460=⊺⇮-3187","layer":3},{"info":"⨈⫕⊺⇮-3187=⊺⇮-21","layer":2},{"info":"⨮↦↱⊺⇮1726=⊺⇮-4555674","layer":3},{"info":"⊺⇮1145⊲⩕⊾⊺⇮1917=⊺⇮-34120","layer":3},{"info":"⊺⇮-4555674↡⊰⫅⊺⇮-34120=NaN","layer":2},{"info":"⊺⇮-21⇮⋭NaN=⊺⇮67","layer":1},{"info":"∟⋨⊺⇮67=⊺⇮417","layer":0}]}
{"id":934,"expression_no_base_symbol":"⊗(($1304$-$4548$/(⫟$3461$))∀⇚≩((∨∊⋏$2921$)⪬∳))","expression":"⊗((⊺⇮1304-⊺⇮4548/(⫟⊺⇮3461))∀⇚≩((∨∊⋏⊺⇮2921)⪬∳))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":170987,"operation_count":7,"complexity_ratio":24426.714285714286,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1304,"base":10},"right_expr":{"type":"numeric_atoms","value":4548,"base":10}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":3461,"base":10}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2921,"base":10}}}}},"used_operators":["RhiyfpczSx","LRNGc0VcxI","XhwjNDsVaA","rysDP5nf3Z","z4E1FaHLuy","O9U3z1385E","R5aXW34M0v"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","X99M06cbEe","rysDP5nf3Z","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⊺⇮1418","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1304","layer":4},{"info":"number node, value=4548","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=4548, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3244","layer":3},{"info":"number node, value=3461","layer":4},{"info":"compute unary expreesion, input=3461, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-9476","layer":3},{"info":"compute binary expreesion, left_input=-3244, right_input=-9476, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2921","layer":4},{"info":"compute unary expreesion, input=2921, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=56903","layer":3},{"info":"compute unary expreesion, input=56903, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-709, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-709","layer":1},{"info":"compute unary expreesion, input=-709, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=1418","layer":0}],"base":10,"result_base":10,"text":"⊗((⊺⇮1304-⊺⇮4548/(⫟⊺⇮3461))∀⇚≩((∨∊⋏⊺⇮2921)⪬∳))=⊺⇮1418","reverse_text":"⊺⇮1418=⊗((⊺⇮1304-⊺⇮4548/(⫟⊺⇮3461))∀⇚≩((∨∊⋏⊺⇮2921)⪬∳))","cot":[{"info":"⊺⇮1304-⊺⇮4548=⊺⇮-3244","layer":3},{"info":"⫟⊺⇮3461=⊺⇮-9476","layer":3},{"info":"⊺⇮-3244/⊺⇮-9476=⊺⇮0","layer":2},{"info":"∨∊⋏⊺⇮2921=⊺⇮56903","layer":3},{"info":"⊺⇮56903⪬∳=⊺⇮-709","layer":2},{"info":"⊺⇮0∀⇚≩⊺⇮-709=⊺⇮-709","layer":1},{"info":"⊗⊺⇮-709=⊺⇮1418","layer":0}]}
{"id":935,"expression_no_base_symbol":"(⋃$2302$⫣⪄⊒$5161$)∺≝⩲($1653$⫞⩸⩒$2814$⫌⩉⩟(≔$5582$))∙∹∝((⇋⊎⋝$1953$)⫿)⇤($1529$⨭⪣$1497$⩨(⊑$2170$))","expression":"(⋃⊺⇮2302⫣⪄⊒⊺⇮5161)∺≝⩲(⊺⇮1653⫞⩸⩒⊺⇮2814⫌⩉⩟(≔⊺⇮5582))∙∹∝((⇋⊎⋝⊺⇮1953)⫿)⇤(⊺⇮1529⨭⪣⊺⇮1497⩨(⊑⊺⇮2170))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1246269,"operation_count":13,"complexity_ratio":95866.84615384616,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2302,"base":10},"right_expr":{"type":"numeric_atoms","value":5161,"base":10}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1653,"base":10},"right_expr":{"type":"numeric_atoms","value":2814,"base":10}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":5582,"base":10}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1953,"base":10}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1529,"base":10},"right_expr":{"type":"numeric_atoms","value":1497,"base":10}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2170,"base":10}}}}},"used_operators":["HmxsFra2vL","KPf6cnQVty","3mBM5G4a3l","RabNbG55vr","XIIwhv8d0m","XGcMNugi78","8FLs4eVsLt","YSKBFp38Pu","9tKT6PmtkH","CzM2PEoXns","2DlMacCsIx","kn8WO9XteQ","IkUmn0D7oy"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","g55IO6H4Gj","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2302","layer":4},{"info":"number node, value=5161","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=5161, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-26874","layer":3},{"info":"compute unary expreesion, input=-26874, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-53646","layer":2},{"info":"number node, value=1653","layer":4},{"info":"number node, value=2814","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=2814, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2814","layer":3},{"info":"number node, value=5582","layer":4},{"info":"compute unary expreesion, input=5582, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-155002","layer":3},{"info":"compute binary expreesion, left_input=2814, right_input=-155002, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=-53646, right_input=-50, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1953","layer":4},{"info":"compute unary expreesion, input=1953, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=nan","layer":2},{"info":"number node, value=1529","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=1497, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=250","layer":3},{"info":"number node, value=2170","layer":4},{"info":"compute unary expreesion, input=2170, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=250, right_input=192, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(⋃⊺⇮2302⫣⪄⊒⊺⇮5161)∺≝⩲(⊺⇮1653⫞⩸⩒⊺⇮2814⫌⩉⩟(≔⊺⇮5582))∙∹∝((⇋⊎⋝⊺⇮1953)⫿)⇤(⊺⇮1529⨭⪣⊺⇮1497⩨(⊑⊺⇮2170))=⊺⇮0","reverse_text":"⊺⇮0=(⋃⊺⇮2302⫣⪄⊒⊺⇮5161)∺≝⩲(⊺⇮1653⫞⩸⩒⊺⇮2814⫌⩉⩟(≔⊺⇮5582))∙∹∝((⇋⊎⋝⊺⇮1953)⫿)⇤(⊺⇮1529⨭⪣⊺⇮1497⩨(⊑⊺⇮2170))","cot":[{"info":"⊺⇮2302⫣⪄⊒⊺⇮5161=⊺⇮-26874","layer":3},{"info":"⋃⊺⇮-26874=⊺⇮-53646","layer":2},{"info":"⊺⇮1653⫞⩸⩒⊺⇮2814=⊺⇮2814","layer":3},{"info":"≔⊺⇮5582=⊺⇮-155002","layer":3},{"info":"⊺⇮2814⫌⩉⩟⊺⇮-155002=⊺⇮-50","layer":2},{"info":"⊺⇮-53646∺≝⩲⊺⇮-50=⊺⇮160","layer":1},{"info":"⇋⊎⋝⊺⇮1953=NaN","layer":3},{"info":"NaN⫿=NaN","layer":2},{"info":"⊺⇮1529⨭⪣⊺⇮1497=⊺⇮250","layer":3},{"info":"⊑⊺⇮2170=⊺⇮192","layer":3},{"info":"⊺⇮250⩨⊺⇮192=⊺⇮0","layer":2},{"info":"NaN⇤⊺⇮0=NaN","layer":1},{"info":"⊺⇮160∙∹∝NaN=⊺⇮0","layer":0}]}
{"id":936,"expression_no_base_symbol":"⋗⩴⪓(($4285$⊋≦⊧$2211$)⪚($1117$∠⫱$2137$)⇷($5296$≨$1289$)∌($3055$⨓$1598$))","expression":"⋗⩴⪓((⊺⇮4285⊋≦⊧⊺⇮2211)⪚(⊺⇮1117∠⫱⊺⇮2137)⇷(⊺⇮5296≨⊺⇮1289)∌(⊺⇮3055⨓⊺⇮1598))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":106615,"operation_count":8,"complexity_ratio":13326.875,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4285,"base":10},"right_expr":{"type":"numeric_atoms","value":2211,"base":10}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1117,"base":10},"right_expr":{"type":"numeric_atoms","value":2137,"base":10}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5296,"base":10},"right_expr":{"type":"numeric_atoms","value":1289,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3055,"base":10},"right_expr":{"type":"numeric_atoms","value":1598,"base":10}}}}},"used_operators":["nOKPl9n5zu","mp7IySMOzn","HrjLwUk87U","oRDoc9rAEX","QvoQhV0rrE","8cLx32lpNA","0KMCeP1Jsh","3ViojmjbAp"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4285","layer":4},{"info":"number node, value=2211","layer":4},{"info":"compute binary expreesion, left_input=4285, right_input=2211, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-4182","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=2137, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4182, right_input=1234, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=7488","layer":2},{"info":"number node, value=5296","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=5296, right_input=1289, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-50484","layer":3},{"info":"number node, value=3055","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=3055, right_input=1598, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1601","layer":3},{"info":"compute binary expreesion, left_input=-50484, right_input=-1601, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-50484","layer":2},{"info":"compute binary expreesion, left_input=7488, right_input=-50484, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⋗⩴⪓((⊺⇮4285⊋≦⊧⊺⇮2211)⪚(⊺⇮1117∠⫱⊺⇮2137)⇷(⊺⇮5296≨⊺⇮1289)∌(⊺⇮3055⨓⊺⇮1598))=NaN","reverse_text":"NaN=⋗⩴⪓((⊺⇮4285⊋≦⊧⊺⇮2211)⪚(⊺⇮1117∠⫱⊺⇮2137)⇷(⊺⇮5296≨⊺⇮1289)∌(⊺⇮3055⨓⊺⇮1598))","cot":[{"info":"⊺⇮4285⊋≦⊧⊺⇮2211=⊺⇮-4182","layer":3},{"info":"⊺⇮1117∠⫱⊺⇮2137=⊺⇮1234","layer":3},{"info":"⊺⇮-4182⪚⊺⇮1234=⊺⇮7488","layer":2},{"info":"⊺⇮5296≨⊺⇮1289=⊺⇮-50484","layer":3},{"info":"⊺⇮3055⨓⊺⇮1598=⊺⇮-1601","layer":3},{"info":"⊺⇮-50484∌⊺⇮-1601=⊺⇮-50484","layer":2},{"info":"⊺⇮7488⇷⊺⇮-50484=NaN","layer":1},{"info":"⋗⩴⪓NaN=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"⩷⨜⫀(∑⇻≧$1131$⨸$1119$⊔($3283$/$3275$))","expression":"⩷⨜⫀(∑⇻≧⊺⇮1131⨸⊺⇮1119⊔(⊺⇮3283/⊺⇮3275))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1265,"operation_count":5,"complexity_ratio":253.0,"tree":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1131,"base":10},"right_expr":{"type":"numeric_atoms","value":1119,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3283,"base":10},"right_expr":{"type":"numeric_atoms","value":3275,"base":10}}}}},"used_operators":["CDi0ktkjQ4","l1M9WJ3V7u","E4l6HwMY31","KmoU8R5UQR","XhwjNDsVaA"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z"],"result":"⊺⇮-766","longer_result_info":{"target_base":10,"flag":false},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1119, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2262","layer":3},{"info":"number node, value=3283","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=3283, right_input=3275, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=2262, right_input=1, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=2129","layer":2},{"info":"compute unary expreesion, input=2129, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute unary expreesion, input=-852, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":0}],"base":10,"result_base":10,"text":"⩷⨜⫀(∑⇻≧⊺⇮1131⨸⊺⇮1119⊔(⊺⇮3283/⊺⇮3275))=⊺⇮-766","reverse_text":"⊺⇮-766=⩷⨜⫀(∑⇻≧⊺⇮1131⨸⊺⇮1119⊔(⊺⇮3283/⊺⇮3275))","cot":[{"info":"⊺⇮1131⨸⊺⇮1119=⊺⇮2262","layer":3},{"info":"⊺⇮3283/⊺⇮3275=⊺⇮1","layer":3},{"info":"⊺⇮2262⊔⊺⇮1=⊺⇮2129","layer":2},{"info":"∑⇻≧⊺⇮2129=⊺⇮-852","layer":1},{"info":"⩷⨜⫀⊺⇮-852=⊺⇮-766","layer":0}]}
{"id":938,"expression_no_base_symbol":"($4548$⨚⇆$1180$)⨑⩅≇(⪫⨮⊛$2093$)∥⊢⊲(($6507$⊬⨰$2067$)∘$2896$⇡⇂$2172$)⫢⨠(≱⇩⩕(∑⇻≧$4598$⫰⋱$5448$))","expression":"(⊺⇮4548⨚⇆⊺⇮1180)⨑⩅≇(⪫⨮⊛⊺⇮2093)∥⊢⊲((⊺⇮6507⊬⨰⊺⇮2067)∘⊺⇮2896⇡⇂⊺⇮2172)⫢⨠(≱⇩⩕(∑⇻≧⊺⇮4598⫰⋱⊺⇮5448))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1304948,"operation_count":11,"complexity_ratio":118631.63636363637,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4548,"base":10},"right_expr":{"type":"numeric_atoms","value":1180,"base":10}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2093,"base":10}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6507,"base":10},"right_expr":{"type":"numeric_atoms","value":2067,"base":10}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2896,"base":10},"right_expr":{"type":"numeric_atoms","value":2172,"base":10}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4598,"base":10},"right_expr":{"type":"numeric_atoms","value":5448,"base":10}}}}},"used_operators":["xlXykHWxX1","v1UQAVDJRr","h92wMvzauj","lwHaAYXP2r","w5FWba1tyO","Z5m6OM72h2","s3Fd5m9Dh2","UMwdvZNt44","3DZMoQKiUl","l1M9WJ3V7u","6o9Blt3TJ6"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","EBcxylXtPf","rGHVDoGpnC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eH2TOUuTDT","rysDP5nf3Z","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4548","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=4548, right_input=1180, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=2093","layer":4},{"info":"compute unary expreesion, input=2093, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"number node, value=6507","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=6507, right_input=2067, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=13719","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=2172, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13719, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=27438","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=27438, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=4598","layer":4},{"info":"number node, value=5448","layer":4},{"info":"compute binary expreesion, left_input=4598, right_input=5448, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4565","layer":3},{"info":"compute unary expreesion, input=-4565, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=4391","layer":2},{"info":"compute unary expreesion, input=4391, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4548⨚⇆⊺⇮1180)⨑⩅≇(⪫⨮⊛⊺⇮2093)∥⊢⊲((⊺⇮6507⊬⨰⊺⇮2067)∘⊺⇮2896⇡⇂⊺⇮2172)⫢⨠(≱⇩⩕(∑⇻≧⊺⇮4598⫰⋱⊺⇮5448))=NaN","reverse_text":"NaN=(⊺⇮4548⨚⇆⊺⇮1180)⨑⩅≇(⪫⨮⊛⊺⇮2093)∥⊢⊲((⊺⇮6507⊬⨰⊺⇮2067)∘⊺⇮2896⇡⇂⊺⇮2172)⫢⨠(≱⇩⩕(∑⇻≧⊺⇮4598⫰⋱⊺⇮5448))","cot":[{"info":"⊺⇮4548⨚⇆⊺⇮1180=NaN","layer":3},{"info":"⪫⨮⊛⊺⇮2093=NaN","layer":3},{"info":"NaN⨑⩅≇NaN=⊺⇮935","layer":2},{"info":"⊺⇮6507⊬⨰⊺⇮2067=⊺⇮13719","layer":3},{"info":"⊺⇮2896⇡⇂⊺⇮2172=NaN","layer":3},{"info":"⊺⇮13719∘NaN=⊺⇮27438","layer":2},{"info":"⊺⇮935∥⊢⊲⊺⇮27438=NaN","layer":1},{"info":"⊺⇮4598⫰⋱⊺⇮5448=⊺⇮-4565","layer":3},{"info":"∑⇻≧⊺⇮-4565=⊺⇮4391","layer":2},{"info":"≱⇩⩕⊺⇮4391=⊺⇮113","layer":1},{"info":"NaN⫢⨠⊺⇮113=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"(⪛⨧($1103$⪒⊣⊆$1805$⋓($3059$⇮⋭$3132$)))⪁(⋗⩬⋾($3071$⫌⩉⩟$3658$)⊕∕($3954$∙∹∝$1652$))","expression":"(⪛⨧(⊺⇮1103⪒⊣⊆⊺⇮1805⋓(⊺⇮3059⇮⋭⊺⇮3132)))⪁(⋗⩬⋾(⊺⇮3071⫌⩉⩟⊺⇮3658)⊕∕(⊺⇮3954∙∹∝⊺⇮1652))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":392197,"operation_count":9,"complexity_ratio":43577.444444444445,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1103,"base":10},"right_expr":{"type":"numeric_atoms","value":1805,"base":10}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3059,"base":10},"right_expr":{"type":"numeric_atoms","value":3132,"base":10}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3071,"base":10},"right_expr":{"type":"numeric_atoms","value":3658,"base":10}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3954,"base":10},"right_expr":{"type":"numeric_atoms","value":1652,"base":10}}}}},"used_operators":["I7sXao9hZE","6NJAcO2OWT","T2fj7uvVaJ","eRqsBgTDFp","vkpjKywKVM","DpFCA1CohY","9cloC0Ngie","XIIwhv8d0m","HmxsFra2vL"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","W4YGzv6Whe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1805, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2206","layer":3},{"info":"number node, value=3059","layer":4},{"info":"number node, value=3132","layer":4},{"info":"compute binary expreesion, left_input=3059, right_input=3132, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=2206, right_input=-473, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1401","layer":1},{"info":"number node, value=3071","layer":4},{"info":"number node, value=3658","layer":4},{"info":"compute binary expreesion, left_input=3071, right_input=3658, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3954","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=1652, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=150","layer":1},{"info":"compute binary expreesion, left_input=1401, right_input=150, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪛⨧(⊺⇮1103⪒⊣⊆⊺⇮1805⋓(⊺⇮3059⇮⋭⊺⇮3132)))⪁(⋗⩬⋾(⊺⇮3071⫌⩉⩟⊺⇮3658)⊕∕(⊺⇮3954∙∹∝⊺⇮1652))=NaN","reverse_text":"NaN=(⪛⨧(⊺⇮1103⪒⊣⊆⊺⇮1805⋓(⊺⇮3059⇮⋭⊺⇮3132)))⪁(⋗⩬⋾(⊺⇮3071⫌⩉⩟⊺⇮3658)⊕∕(⊺⇮3954∙∹∝⊺⇮1652))","cot":[{"info":"⊺⇮1103⪒⊣⊆⊺⇮1805=⊺⇮2206","layer":3},{"info":"⊺⇮3059⇮⋭⊺⇮3132=⊺⇮-473","layer":3},{"info":"⊺⇮2206⋓⊺⇮-473=⊺⇮0","layer":2},{"info":"⪛⨧⊺⇮0=⊺⇮1401","layer":1},{"info":"⊺⇮3071⫌⩉⩟⊺⇮3658=⊺⇮-50","layer":3},{"info":"⊺⇮3954∙∹∝⊺⇮1652=⊺⇮0","layer":3},{"info":"⊺⇮-50⊕∕⊺⇮0=⊺⇮-50","layer":2},{"info":"⋗⩬⋾⊺⇮-50=⊺⇮150","layer":1},{"info":"⊺⇮1401⪁⊺⇮150=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"≛(($3303$≓∲$1061$)⪒⊣⊆($2741$↠)⩎⪣⊞)","expression":"≛((⊺⇮3303≓∲⊺⇮1061)⪒⊣⊆(⊺⇮2741↠)⩎⪣⊞)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":946860,"operation_count":5,"complexity_ratio":189372.0,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3303,"base":10},"right_expr":{"type":"numeric_atoms","value":1061,"base":10}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":2741,"base":10}}}}},"used_operators":["W7eaUhjymW","waWucp1uQ4","eRqsBgTDFp","s1XTVnmDOJ","LBdsKIvxzf"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","mp7IySMOzn","sdazOOVcIp","W4YGzv6Whe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb"],"result":"⊺⇮-10","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3303","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=3303, right_input=1061, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=33813","layer":3},{"info":"number node, value=2741","layer":4},{"info":"compute unary expreesion, input=2741, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=33813, right_input=-447, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=67626","layer":2},{"info":"compute unary expreesion, input=67626, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=135252","layer":1},{"info":"compute unary expreesion, input=135252, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":0}],"base":10,"result_base":10,"text":"≛((⊺⇮3303≓∲⊺⇮1061)⪒⊣⊆(⊺⇮2741↠)⩎⪣⊞)=⊺⇮-10","reverse_text":"⊺⇮-10=≛((⊺⇮3303≓∲⊺⇮1061)⪒⊣⊆(⊺⇮2741↠)⩎⪣⊞)","cot":[{"info":"⊺⇮3303≓∲⊺⇮1061=⊺⇮33813","layer":3},{"info":"⊺⇮2741↠=⊺⇮-447","layer":3},{"info":"⊺⇮33813⪒⊣⊆⊺⇮-447=⊺⇮67626","layer":2},{"info":"⊺⇮67626⩎⪣⊞=⊺⇮135252","layer":1},{"info":"≛⊺⇮135252=⊺⇮-10","layer":0}]}
{"id":941,"expression_no_base_symbol":"⋗⩴⪓(($2206$⫢⨠$4573$)↞⋁($2639$↓$5301$)⨽($2755$⩒⫫$4104$)⨔⇊($2040$⫘$1492$))","expression":"⋗⩴⪓((⊺⇮2206⫢⨠⊺⇮4573)↞⋁(⊺⇮2639↓⊺⇮5301)⨽(⊺⇮2755⩒⫫⊺⇮4104)⨔⇊(⊺⇮2040⫘⊺⇮1492))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":77085,"operation_count":8,"complexity_ratio":9635.625,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2206,"base":10},"right_expr":{"type":"numeric_atoms","value":4573,"base":10}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2639,"base":10},"right_expr":{"type":"numeric_atoms","value":5301,"base":10}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2755,"base":10},"right_expr":{"type":"numeric_atoms","value":4104,"base":10}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2040,"base":10},"right_expr":{"type":"numeric_atoms","value":1492,"base":10}}}}},"used_operators":["nOKPl9n5zu","8HhzD0ZcuI","RqrPlJkxDo","xlXykHWxX1","Af076pWI7l","JclMnS0uGI","KFSx94NKJn","48vC8HMD2b"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2206","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=2206, right_input=4573, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2639","layer":4},{"info":"number node, value=5301","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=5301, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-134, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=2755","layer":4},{"info":"number node, value=4104","layer":4},{"info":"compute binary expreesion, left_input=2755, right_input=4104, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2453","layer":3},{"info":"number node, value=2040","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=1492, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2403445","layer":3},{"info":"compute binary expreesion, left_input=2453, right_input=2403445, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2403445","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2403445, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⋗⩴⪓((⊺⇮2206⫢⨠⊺⇮4573)↞⋁(⊺⇮2639↓⊺⇮5301)⨽(⊺⇮2755⩒⫫⊺⇮4104)⨔⇊(⊺⇮2040⫘⊺⇮1492))=NaN","reverse_text":"NaN=⋗⩴⪓((⊺⇮2206⫢⨠⊺⇮4573)↞⋁(⊺⇮2639↓⊺⇮5301)⨽(⊺⇮2755⩒⫫⊺⇮4104)⨔⇊(⊺⇮2040⫘⊺⇮1492))","cot":[{"info":"⊺⇮2206⫢⨠⊺⇮4573=⊺⇮160","layer":3},{"info":"⊺⇮2639↓⊺⇮5301=⊺⇮-134","layer":3},{"info":"⊺⇮160↞⋁⊺⇮-134=NaN","layer":2},{"info":"⊺⇮2755⩒⫫⊺⇮4104=⊺⇮2453","layer":3},{"info":"⊺⇮2040⫘⊺⇮1492=⊺⇮2403445","layer":3},{"info":"⊺⇮2453⨔⇊⊺⇮2403445=⊺⇮2403445","layer":2},{"info":"NaN⨽⊺⇮2403445=NaN","layer":1},{"info":"⋗⩴⪓NaN=NaN","layer":0}]}
{"id":942,"expression_no_base_symbol":"(≸(∡$4190$∣$2368$))⪃⊛⇣(((↡$1110$)∼$2572$⊴$2300$)⇯⋐)","expression":"(≸(∡⊺⇮4190∣⊺⇮2368))⪃⊛⇣(((↡⊺⇮1110)∼⊺⇮2572⊴⊺⇮2300)⇯⋐)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":941956,"operation_count":8,"complexity_ratio":117744.5,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4190,"base":10},"right_expr":{"type":"numeric_atoms","value":2368,"base":10}}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1110,"base":10}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2572,"base":10},"right_expr":{"type":"numeric_atoms","value":2300,"base":10}}}}},"used_operators":["rrgAzCduG9","eOf03JbCpp","pRsWfj4Fpp","PPChnnnBFF","LkLIoiE525","DyGG3AbaNP","MXaNJeIAZ3","Nsiff2A1zJ"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","dWAJyo7jo9","14qkJME0vr"],"result":"⊺⇮1234","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4190","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=4190, right_input=2368, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4190","layer":3},{"info":"compute unary expreesion, input=4190, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-4190","layer":2},{"info":"compute unary expreesion, input=-4190, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=968","layer":1},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=9990","layer":3},{"info":"number node, value=2572","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=2300, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9990, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":10,"result_base":10,"text":"(≸(∡⊺⇮4190∣⊺⇮2368))⪃⊛⇣(((↡⊺⇮1110)∼⊺⇮2572⊴⊺⇮2300)⇯⋐)=⊺⇮1234","reverse_text":"⊺⇮1234=(≸(∡⊺⇮4190∣⊺⇮2368))⪃⊛⇣(((↡⊺⇮1110)∼⊺⇮2572⊴⊺⇮2300)⇯⋐)","cot":[{"info":"⊺⇮4190∣⊺⇮2368=⊺⇮4190","layer":3},{"info":"∡⊺⇮4190=⊺⇮-4190","layer":2},{"info":"≸⊺⇮-4190=⊺⇮968","layer":1},{"info":"↡⊺⇮1110=⊺⇮9990","layer":3},{"info":"⊺⇮2572⊴⊺⇮2300=NaN","layer":3},{"info":"⊺⇮9990∼NaN=NaN","layer":2},{"info":"NaN⇯⋐=NaN","layer":1},{"info":"⊺⇮968⪃⊛⇣NaN=⊺⇮1234","layer":0}]}
{"id":943,"expression_no_base_symbol":"⨛(($4423$⪊≅)∋($6290$∌$3829$)⫠↝⫳)","expression":"⨛((⊺⇮4423⪊≅)∋(⊺⇮6290∌⊺⇮3829)⫠↝⫳)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":240256,"operation_count":5,"complexity_ratio":48051.2,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":4423,"base":10}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":6290,"base":10},"right_expr":{"type":"numeric_atoms","value":3829,"base":10}}}}},"used_operators":["CoMdbyAt7R","8n5YIzOsVS","ukq6epAj5P","bjFbhXSADs","8cLx32lpNA"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4423","layer":4},{"info":"compute unary expreesion, input=4423, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"number node, value=6290","layer":4},{"info":"number node, value=3829","layer":4},{"info":"compute binary expreesion, left_input=6290, right_input=3829, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3829","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3829, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54624","layer":2},{"info":"compute unary expreesion, input=-54624, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-1747345","layer":1},{"info":"compute unary expreesion, input=-1747345, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⨛((⊺⇮4423⪊≅)∋(⊺⇮6290∌⊺⇮3829)⫠↝⫳)=⊺⇮0","reverse_text":"⊺⇮0=⨛((⊺⇮4423⪊≅)∋(⊺⇮6290∌⊺⇮3829)⫠↝⫳)","cot":[{"info":"⊺⇮4423⪊≅=⊺⇮0","layer":3},{"info":"⊺⇮6290∌⊺⇮3829=⊺⇮-3829","layer":3},{"info":"⊺⇮0∋⊺⇮-3829=⊺⇮-54624","layer":2},{"info":"⊺⇮-54624⫠↝⫳=⊺⇮-1747345","layer":1},{"info":"⨛⊺⇮-1747345=⊺⇮0","layer":0}]}
{"id":944,"expression_no_base_symbol":"($4015$⪟⇏$5869$+⇶⊼$2161$⨔⇊$2319$)⪬(↩⪖($4397$≭$1868$))⇮⋭((($3098$≠≀$2243$)↑)⨑≵⋬($4100$⊀⩕)≄⊠($2105$/$4752$))","expression":"(⊺⇮4015⪟⇏⊺⇮5869+⇶⊼⊺⇮2161⨔⇊⊺⇮2319)⪬(↩⪖(⊺⇮4397≭⊺⇮1868))⇮⋭(((⊺⇮3098≠≀⊺⇮2243)↑)⨑≵⋬(⊺⇮4100⊀⩕)≄⊠(⊺⇮2105/⊺⇮4752))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2041,"operation_count":13,"complexity_ratio":157.0,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4015,"base":10},"right_expr":{"type":"numeric_atoms","value":5869,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2161,"base":10},"right_expr":{"type":"numeric_atoms","value":2319,"base":10}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4397,"base":10},"right_expr":{"type":"numeric_atoms","value":1868,"base":10}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3098,"base":10},"right_expr":{"type":"numeric_atoms","value":2243,"base":10}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":4100,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2105,"base":10},"right_expr":{"type":"numeric_atoms","value":4752,"base":10}}}}},"used_operators":["vkpjKywKVM","Ez1Nq5fNfI","TpPTUOHfaN","GODebY97qR","JclMnS0uGI","fG6uBQFnGz","rxpJgHHUmx","XnXgA4xnOs","BThhyOhh10","IwW236VD4Y","vXNesLlMH1","r0FS3hW4cC","XhwjNDsVaA"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","AHs5Up7iyr","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","AHs5Up7iyr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rGHVDoGpnC","nhYeJWJD5X","rysDP5nf3Z"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4015","layer":4},{"info":"number node, value=5869","layer":4},{"info":"compute binary expreesion, left_input=4015, right_input=5869, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2161","layer":4},{"info":"number node, value=2319","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=2319, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2319","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2319, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4397","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=1868, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=3098","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=2243, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5890","layer":3},{"info":"compute unary expreesion, input=-5890, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"number node, value=4100","layer":4},{"info":"compute unary expreesion, input=4100, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=2105","layer":4},{"info":"number node, value=4752","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=4752, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=222, right_input=1500, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-8011","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-8011, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮4015⪟⇏⊺⇮5869+⇶⊼⊺⇮2161⨔⇊⊺⇮2319)⪬(↩⪖(⊺⇮4397≭⊺⇮1868))⇮⋭(((⊺⇮3098≠≀⊺⇮2243)↑)⨑≵⋬(⊺⇮4100⊀⩕)≄⊠(⊺⇮2105/⊺⇮4752))=⊺⇮67","reverse_text":"⊺⇮67=(⊺⇮4015⪟⇏⊺⇮5869+⇶⊼⊺⇮2161⨔⇊⊺⇮2319)⪬(↩⪖(⊺⇮4397≭⊺⇮1868))⇮⋭(((⊺⇮3098≠≀⊺⇮2243)↑)⨑≵⋬(⊺⇮4100⊀⩕)≄⊠(⊺⇮2105/⊺⇮4752))","cot":[{"info":"⊺⇮4015⪟⇏⊺⇮5869=⊺⇮-1","layer":3},{"info":"⊺⇮2161⨔⇊⊺⇮2319=⊺⇮2319","layer":3},{"info":"⊺⇮-1+⇶⊼⊺⇮2319=NaN","layer":2},{"info":"⊺⇮4397≭⊺⇮1868=NaN","layer":3},{"info":"↩⪖NaN=NaN","layer":2},{"info":"NaN⪬NaN=⊺⇮1234","layer":1},{"info":"⊺⇮3098≠≀⊺⇮2243=⊺⇮-5890","layer":3},{"info":"⊺⇮-5890↑=⊺⇮222","layer":2},{"info":"⊺⇮4100⊀⩕=⊺⇮0","layer":3},{"info":"⊺⇮2105/⊺⇮4752=⊺⇮0","layer":3},{"info":"⊺⇮0≄⊠⊺⇮0=⊺⇮1500","layer":2},{"info":"⊺⇮222⨑≵⋬⊺⇮1500=⊺⇮-8011","layer":1},{"info":"⊺⇮1234⇮⋭⊺⇮-8011=⊺⇮67","layer":0}]}
{"id":945,"expression_no_base_symbol":"⋼∭⪍(⪲⇎($2896$⫁⪎$2097$⩺⋐⫨))","expression":"⋼∭⪍(⪲⇎(⊺⇮2896⫁⪎⊺⇮2097⩺⋐⫨))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":586,"operation_count":4,"complexity_ratio":146.5,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2896,"base":10},"right_expr":{"type":"numeric_atoms","value":2097,"base":10}}}}},"used_operators":["DbCuESL50I","XPYlsWDdGa","yS9ePUuUdn","xRrnTEsQ6j"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⊺⇮946","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2896","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=2097, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=799","layer":3},{"info":"compute unary expreesion, input=799, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=946","layer":0}],"base":10,"result_base":10,"text":"⋼∭⪍(⪲⇎(⊺⇮2896⫁⪎⊺⇮2097⩺⋐⫨))=⊺⇮946","reverse_text":"⊺⇮946=⋼∭⪍(⪲⇎(⊺⇮2896⫁⪎⊺⇮2097⩺⋐⫨))","cot":[{"info":"⊺⇮2896⫁⪎⊺⇮2097=⊺⇮799","layer":3},{"info":"⊺⇮799⩺⋐⫨=⊺⇮0","layer":2},{"info":"⪲⇎⊺⇮0=⊺⇮0","layer":1},{"info":"⋼∭⪍⊺⇮0=⊺⇮946","layer":0}]}
{"id":946,"expression_no_base_symbol":"((⪫⨮⊛$2532$)⪪($1085$⊎←↗))⩦($5610$⪕$1283$⇼⇔∾$5163$⨽$4901$)⊱⇼⊻((($2000$⪨≂$2825$)⋳⪒(⪁⇼$1913$))⇉⇱⇎)","expression":"((⪫⨮⊛⊺⇮2532)⪪(⊺⇮1085⊎←↗))⩦(⊺⇮5610⪕⊺⇮1283⇼⇔∾⊺⇮5163⨽⊺⇮4901)⊱⇼⊻(((⊺⇮2000⪨≂⊺⇮2825)⋳⪒(⪁⇼⊺⇮1913))⇉⇱⇎)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1530235,"operation_count":12,"complexity_ratio":127519.58333333333,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2532,"base":10}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":1085,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":5610,"base":10},"right_expr":{"type":"numeric_atoms","value":1283,"base":10}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5163,"base":10},"right_expr":{"type":"numeric_atoms","value":4901,"base":10}}}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2000,"base":10},"right_expr":{"type":"numeric_atoms","value":2825,"base":10}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1913,"base":10}}}}},"used_operators":["FyVja0WsTP","0kmYd0q39Y","xD69zh8xqp","w5FWba1tyO","dwb5p0fa6d","tifHPKVTfV","umQnsF7QlU","8HhzD0ZcuI","MRPaB8lBjK","12rbrZMWeM","sdazOOVcIp","ZNVVrZ94lY"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","sdazOOVcIp","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2532","layer":4},{"info":"compute unary expreesion, input=2532, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-1485","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1485, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":2},{"info":"number node, value=5610","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=5610, right_input=1283, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=10838","layer":3},{"info":"number node, value=5163","layer":4},{"info":"number node, value=4901","layer":4},{"info":"compute binary expreesion, left_input=5163, right_input=4901, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-79983096","layer":3},{"info":"compute binary expreesion, left_input=10838, right_input=-79983096, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-79993934","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-79993934, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":1},{"info":"number node, value=2000","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=2825, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1548","layer":3},{"info":"number node, value=1913","layer":4},{"info":"compute unary expreesion, input=1913, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=-1548, right_input=422, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3805","layer":2},{"info":"compute unary expreesion, input=-3805, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=218, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⪫⨮⊛⊺⇮2532)⪪(⊺⇮1085⊎←↗))⩦(⊺⇮5610⪕⊺⇮1283⇼⇔∾⊺⇮5163⨽⊺⇮4901)⊱⇼⊻(((⊺⇮2000⪨≂⊺⇮2825)⋳⪒(⪁⇼⊺⇮1913))⇉⇱⇎)=NaN","reverse_text":"NaN=((⪫⨮⊛⊺⇮2532)⪪(⊺⇮1085⊎←↗))⩦(⊺⇮5610⪕⊺⇮1283⇼⇔∾⊺⇮5163⨽⊺⇮4901)⊱⇼⊻(((⊺⇮2000⪨≂⊺⇮2825)⋳⪒(⪁⇼⊺⇮1913))⇉⇱⇎)","cot":[{"info":"⪫⨮⊛⊺⇮2532=NaN","layer":3},{"info":"⊺⇮1085⊎←↗=⊺⇮-1485","layer":3},{"info":"NaN⪪⊺⇮-1485=NaN","layer":2},{"info":"⊺⇮5610⪕⊺⇮1283=⊺⇮10838","layer":3},{"info":"⊺⇮5163⨽⊺⇮4901=⊺⇮-79983096","layer":3},{"info":"⊺⇮10838⇼⇔∾⊺⇮-79983096=⊺⇮-79993934","layer":2},{"info":"NaN⩦⊺⇮-79993934=NaN","layer":1},{"info":"⊺⇮2000⪨≂⊺⇮2825=⊺⇮-1548","layer":3},{"info":"⪁⇼⊺⇮1913=⊺⇮422","layer":3},{"info":"⊺⇮-1548⋳⪒⊺⇮422=⊺⇮-3805","layer":2},{"info":"⊺⇮-3805⇉⇱⇎=⊺⇮218","layer":1},{"info":"NaN⊱⇼⊻⊺⇮218=NaN","layer":0}]}
{"id":947,"expression_no_base_symbol":"(⪨⨬$6283$↞⋁$2540$)⪛(⩷($5678$⊿∆))∪⫐(⫓⪴($3389$⋥≓≎$6921$)⪚($2842$⩒⫫$1275$))","expression":"(⪨⨬⊺⇮6283↞⋁⊺⇮2540)⪛(⩷(⊺⇮5678⊿∆))∪⫐(⫓⪴(⊺⇮3389⋥≓≎⊺⇮6921)⪚(⊺⇮2842⩒⫫⊺⇮1275))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15809,"operation_count":10,"complexity_ratio":1580.9,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":6283,"base":10},"right_expr":{"type":"numeric_atoms","value":2540,"base":10}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":5678,"base":10}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3389,"base":10},"right_expr":{"type":"numeric_atoms","value":6921,"base":10}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2842,"base":10},"right_expr":{"type":"numeric_atoms","value":1275,"base":10}}}}},"used_operators":["7YooWSwCyH","uFcxV4UQCh","5obUd6DV38","RqrPlJkxDo","1h0rLqGiFr","fv3ZujxkQL","eLxqMNBOBk","HrjLwUk87U","Qy55tPpLXF","KFSx94NKJn"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","T2fj7uvVaJ","nlCqmYiOvY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","NTOWxs364D","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6283","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=6283, right_input=2540, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":2},{"info":"number node, value=5678","layer":4},{"info":"compute unary expreesion, input=5678, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-11477","layer":3},{"info":"compute unary expreesion, input=-11477, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=137645","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=137645, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=3389","layer":4},{"info":"number node, value=6921","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=6921, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10486","layer":3},{"info":"number node, value=2842","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=1275, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2540","layer":3},{"info":"compute binary expreesion, left_input=10486, right_input=2540, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=15536","layer":2},{"info":"compute unary expreesion, input=15536, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=241367296","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=241367296, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪨⨬⊺⇮6283↞⋁⊺⇮2540)⪛(⩷(⊺⇮5678⊿∆))∪⫐(⫓⪴(⊺⇮3389⋥≓≎⊺⇮6921)⪚(⊺⇮2842⩒⫫⊺⇮1275))=NaN","reverse_text":"NaN=(⪨⨬⊺⇮6283↞⋁⊺⇮2540)⪛(⩷(⊺⇮5678⊿∆))∪⫐(⫓⪴(⊺⇮3389⋥≓≎⊺⇮6921)⪚(⊺⇮2842⩒⫫⊺⇮1275))","cot":[{"info":"⊺⇮6283↞⋁⊺⇮2540=NaN","layer":3},{"info":"⪨⨬NaN=NaN","layer":2},{"info":"⊺⇮5678⊿∆=⊺⇮-11477","layer":3},{"info":"⩷⊺⇮-11477=⊺⇮137645","layer":2},{"info":"NaN⪛⊺⇮137645=NaN","layer":1},{"info":"⊺⇮3389⋥≓≎⊺⇮6921=⊺⇮10486","layer":3},{"info":"⊺⇮2842⩒⫫⊺⇮1275=⊺⇮2540","layer":3},{"info":"⊺⇮10486⪚⊺⇮2540=⊺⇮15536","layer":2},{"info":"⫓⪴⊺⇮15536=⊺⇮241367296","layer":1},{"info":"NaN∪⫐⊺⇮241367296=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"(($8046$⨒$3957$∟)⋥≓≎($2639$⩁⩘$6007$)⩖⊿($1671$⇣⩺⋵$5643$))⫯⪬∳(((⇾⩊⇾$4717$)↺$2924$⋝⋈⪟$5245$)∼($8008$⋳⪒$1918$)⪟⇏($1756$⋭≵$2220$))","expression":"((⊺⇮8046⨒⊺⇮3957∟)⋥≓≎(⊺⇮2639⩁⩘⊺⇮6007)⩖⊿(⊺⇮1671⇣⩺⋵⊺⇮5643))⫯⪬∳(((⇾⩊⇾⊺⇮4717)↺⊺⇮2924⋝⋈⪟⊺⇮5245)∼(⊺⇮8008⋳⪒⊺⇮1918)⪟⇏(⊺⇮1756⋭≵⊺⇮2220))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":144074,"operation_count":14,"complexity_ratio":10291.0,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":8046,"base":10},"right_expr":{"type":"numeric_atoms","value":3957,"base":10}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2639,"base":10},"right_expr":{"type":"numeric_atoms","value":6007,"base":10}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1671,"base":10},"right_expr":{"type":"numeric_atoms","value":5643,"base":10}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4717,"base":10}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2924,"base":10},"right_expr":{"type":"numeric_atoms","value":5245,"base":10}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8008,"base":10},"right_expr":{"type":"numeric_atoms","value":1918,"base":10}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1756,"base":10},"right_expr":{"type":"numeric_atoms","value":2220,"base":10}}}}},"used_operators":["d7ASUq0ydm","Qy55tPpLXF","hTbEZDJLEm","y75s1iXyHd","RZ5CV9rWsJ","gub5Cegaqo","F4yD0voBRQ","DyGG3AbaNP","7j4O788W3g","bx9Z9DAK5y","2DDjHMKMc0","GODebY97qR","12rbrZMWeM","jBncVCNhdl"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DpFCA1CohY","IWmyXbctLI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⊺⇮817603","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8046","layer":4},{"info":"number node, value=3957","layer":4},{"info":"compute binary expreesion, left_input=8046, right_input=3957, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-47904","layer":3},{"info":"compute unary expreesion, input=-47904, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"number node, value=2639","layer":4},{"info":"number node, value=6007","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=6007, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=24976","layer":3},{"info":"number node, value=1671","layer":4},{"info":"number node, value=5643","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=5643, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-4540","layer":3},{"info":"compute binary expreesion, left_input=24976, right_input=-4540, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-136306","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-136306, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-272692","layer":1},{"info":"number node, value=4717","layer":4},{"info":"compute unary expreesion, input=4717, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-48939","layer":3},{"info":"number node, value=2924","layer":4},{"info":"number node, value=5245","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=5245, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2924","layer":3},{"info":"compute binary expreesion, left_input=-48939, right_input=2924, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2924","layer":2},{"info":"number node, value=8008","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=8008, right_input=1918, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13811","layer":3},{"info":"number node, value=1756","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=2220, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=13811, right_input=67, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2924, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":1},{"info":"compute binary expreesion, left_input=-272692, right_input=20, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=817603","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮8046⨒⊺⇮3957∟)⋥≓≎(⊺⇮2639⩁⩘⊺⇮6007)⩖⊿(⊺⇮1671⇣⩺⋵⊺⇮5643))⫯⪬∳(((⇾⩊⇾⊺⇮4717)↺⊺⇮2924⋝⋈⪟⊺⇮5245)∼(⊺⇮8008⋳⪒⊺⇮1918)⪟⇏(⊺⇮1756⋭≵⊺⇮2220))=⊺⇮817603","reverse_text":"⊺⇮817603=((⊺⇮8046⨒⊺⇮3957∟)⋥≓≎(⊺⇮2639⩁⩘⊺⇮6007)⩖⊿(⊺⇮1671⇣⩺⋵⊺⇮5643))⫯⪬∳(((⇾⩊⇾⊺⇮4717)↺⊺⇮2924⋝⋈⪟⊺⇮5245)∼(⊺⇮8008⋳⪒⊺⇮1918)⪟⇏(⊺⇮1756⋭≵⊺⇮2220))","cot":[{"info":"⊺⇮8046⨒⊺⇮3957=⊺⇮-47904","layer":3},{"info":"⊺⇮-47904∟=⊺⇮113","layer":2},{"info":"⊺⇮2639⩁⩘⊺⇮6007=⊺⇮24976","layer":3},{"info":"⊺⇮1671⇣⩺⋵⊺⇮5643=⊺⇮-4540","layer":3},{"info":"⊺⇮24976⩖⊿⊺⇮-4540=⊺⇮-136306","layer":2},{"info":"⊺⇮113⋥≓≎⊺⇮-136306=⊺⇮-272692","layer":1},{"info":"⇾⩊⇾⊺⇮4717=⊺⇮-48939","layer":3},{"info":"⊺⇮2924⋝⋈⪟⊺⇮5245=⊺⇮2924","layer":3},{"info":"⊺⇮-48939↺⊺⇮2924=⊺⇮2924","layer":2},{"info":"⊺⇮8008⋳⪒⊺⇮1918=⊺⇮13811","layer":3},{"info":"⊺⇮1756⋭≵⊺⇮2220=⊺⇮67","layer":3},{"info":"⊺⇮13811⪟⇏⊺⇮67=⊺⇮0","layer":2},{"info":"⊺⇮2924∼⊺⇮0=⊺⇮20","layer":1},{"info":"⊺⇮-272692⫯⪬∳⊺⇮20=⊺⇮817603","layer":0}]}
{"id":949,"expression_no_base_symbol":"((($1785$∠↢$3515$)⨟⋌⩍($8042$⨉))≁(∓($1765$≀⩗∶$4070$)))⨽∌(($3661$⪄$1224$⫔⩽⩺($1956$/$2096$))⩷∴($1083$⊹∫⫚$3946$⫢⨠($4416$⩭)))","expression":"(((⊺⇮1785∠↢⊺⇮3515)⨟⋌⩍(⊺⇮8042⨉))≁(∓(⊺⇮1765≀⩗∶⊺⇮4070)))⨽∌((⊺⇮3661⪄⊺⇮1224⫔⩽⩺(⊺⇮1956/⊺⇮2096))⩷∴(⊺⇮1083⊹∫⫚⊺⇮3946⫢⨠(⊺⇮4416⩭)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2201074,"operation_count":14,"complexity_ratio":157219.57142857142,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1785,"base":10},"right_expr":{"type":"numeric_atoms","value":3515,"base":10}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":8042,"base":10}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1765,"base":10},"right_expr":{"type":"numeric_atoms","value":4070,"base":10}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3661,"base":10},"right_expr":{"type":"numeric_atoms","value":1224,"base":10}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1956,"base":10},"right_expr":{"type":"numeric_atoms","value":2096,"base":10}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1083,"base":10},"right_expr":{"type":"numeric_atoms","value":3946,"base":10}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":4416,"base":10}}}}},"used_operators":["9samAPKr6k","8N2wDY1A35","rGHVDoGpnC","KbjG8mgYpV","aMUSaJuDRU","OwUj7dcsQK","8INZBEW696","9FxExcQeMw","i9eR4S00cU","SUmda5xLS4","XhwjNDsVaA","xlXykHWxX1","uWAJUKEvyW","yIPP7u6H5x"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Tcnh7f0tEr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","Tw270M8GLb","fu6greOZ01","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1785","layer":4},{"info":"number node, value=3515","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=3515, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-55268","layer":3},{"info":"number node, value=8042","layer":4},{"info":"compute unary expreesion, input=8042, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=18412","layer":3},{"info":"compute binary expreesion, left_input=-55268, right_input=18412, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1765","layer":4},{"info":"number node, value=4070","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=4070, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-4782","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4782, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=3661","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=3661, right_input=1224, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-542813","layer":3},{"info":"number node, value=1956","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=2096, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-542813, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1083","layer":4},{"info":"number node, value=3946","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=3946, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-56","layer":3},{"info":"number node, value=4416","layer":4},{"info":"compute unary expreesion, input=4416, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-56, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1785∠↢⊺⇮3515)⨟⋌⩍(⊺⇮8042⨉))≁(∓(⊺⇮1765≀⩗∶⊺⇮4070)))⨽∌((⊺⇮3661⪄⊺⇮1224⫔⩽⩺(⊺⇮1956/⊺⇮2096))⩷∴(⊺⇮1083⊹∫⫚⊺⇮3946⫢⨠(⊺⇮4416⩭)))=NaN","reverse_text":"NaN=(((⊺⇮1785∠↢⊺⇮3515)⨟⋌⩍(⊺⇮8042⨉))≁(∓(⊺⇮1765≀⩗∶⊺⇮4070)))⨽∌((⊺⇮3661⪄⊺⇮1224⫔⩽⩺(⊺⇮1956/⊺⇮2096))⩷∴(⊺⇮1083⊹∫⫚⊺⇮3946⫢⨠(⊺⇮4416⩭)))","cot":[{"info":"⊺⇮1785∠↢⊺⇮3515=⊺⇮-55268","layer":3},{"info":"⊺⇮8042⨉=⊺⇮18412","layer":3},{"info":"⊺⇮-55268⨟⋌⩍⊺⇮18412=NaN","layer":2},{"info":"⊺⇮1765≀⩗∶⊺⇮4070=⊺⇮-6","layer":3},{"info":"∓⊺⇮-6=⊺⇮-4782","layer":2},{"info":"NaN≁⊺⇮-4782=NaN","layer":1},{"info":"⊺⇮3661⪄⊺⇮1224=⊺⇮-542813","layer":3},{"info":"⊺⇮1956/⊺⇮2096=⊺⇮0","layer":3},{"info":"⊺⇮-542813⫔⩽⩺⊺⇮0=NaN","layer":2},{"info":"⊺⇮1083⊹∫⫚⊺⇮3946=⊺⇮-56","layer":3},{"info":"⊺⇮4416⩭=NaN","layer":3},{"info":"⊺⇮-56⫢⨠NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⨽∌NaN=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"((($8215$≧⫂∧$3145$)⫘($1472$⩘$2809$))↯⫤)⫢⨠(⇵⪽($6786$⨫⇇↔$3446$))≄⊠(∓(⩎⋉$7334$))","expression":"(((⊺⇮8215≧⫂∧⊺⇮3145)⫘(⊺⇮1472⩘⊺⇮2809))↯⫤)⫢⨠(⇵⪽(⊺⇮6786⨫⇇↔⊺⇮3446))≄⊠(∓(⩎⋉⊺⇮7334))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":280982,"operation_count":10,"complexity_ratio":28098.2,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8215,"base":10},"right_expr":{"type":"numeric_atoms","value":3145,"base":10}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1472,"base":10},"right_expr":{"type":"numeric_atoms","value":2809,"base":10}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":6786,"base":10},"right_expr":{"type":"numeric_atoms","value":3446,"base":10}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":7334,"base":10}}}}},"used_operators":["xlXykHWxX1","VwlE7vj6HS","48vC8HMD2b","Ph9nP6C5qx","cHh1gJQ2o6","vXNesLlMH1","ZGCBLdVRRX","LXhwmt4mBO","OwUj7dcsQK","FlXk3pOYe8"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","U7g4x0WXJJ","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"⊺⇮160","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8215","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=8215, right_input=3145, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2672","layer":3},{"info":"number node, value=1472","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=2809, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2672, right_input=160, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3146677","layer":2},{"info":"compute unary expreesion, input=3146677, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":1},{"info":"number node, value=6786","layer":4},{"info":"number node, value=3446","layer":4},{"info":"compute binary expreesion, left_input=6786, right_input=3446, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=7334","layer":4},{"info":"compute unary expreesion, input=7334, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-29622","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-29622, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1500, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮8215≧⫂∧⊺⇮3145)⫘(⊺⇮1472⩘⊺⇮2809))↯⫤)⫢⨠(⇵⪽(⊺⇮6786⨫⇇↔⊺⇮3446))≄⊠(∓(⩎⋉⊺⇮7334))=⊺⇮160","reverse_text":"⊺⇮160=(((⊺⇮8215≧⫂∧⊺⇮3145)⫘(⊺⇮1472⩘⊺⇮2809))↯⫤)⫢⨠(⇵⪽(⊺⇮6786⨫⇇↔⊺⇮3446))≄⊠(∓(⩎⋉⊺⇮7334))","cot":[{"info":"⊺⇮8215≧⫂∧⊺⇮3145=⊺⇮2672","layer":3},{"info":"⊺⇮1472⩘⊺⇮2809=⊺⇮160","layer":3},{"info":"⊺⇮2672⫘⊺⇮160=⊺⇮3146677","layer":2},{"info":"⊺⇮3146677↯⫤=⊺⇮0","layer":1},{"info":"⊺⇮6786⨫⇇↔⊺⇮3446=⊺⇮-527","layer":3},{"info":"⇵⪽⊺⇮-527=NaN","layer":2},{"info":"⩎⋉⊺⇮7334=⊺⇮1650","layer":3},{"info":"∓⊺⇮1650=⊺⇮-29622","layer":2},{"info":"NaN≄⊠⊺⇮-29622=⊺⇮1500","layer":1},{"info":"⊺⇮0⫢⨠⊺⇮1500=⊺⇮160","layer":0}]}
{"id":951,"expression_no_base_symbol":"($5706$↯⫤)⪪$2802$∌$2349$≚⊃≕((↑$1302$)⪉⨛($4971$⋐⇩⊬))⫩⊇","expression":"(⊺⇮5706↯⫤)⪪⊺⇮2802∌⊺⇮2349≚⊃≕((↑⊺⇮1302)⪉⨛(⊺⇮4971⋐⇩⊬))⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":179,"operation_count":8,"complexity_ratio":22.375,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":5706,"base":10}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2802,"base":10},"right_expr":{"type":"numeric_atoms","value":2349,"base":10}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1302,"base":10}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":4971,"base":10}}}}},"used_operators":["BjRHVeLaeN","Bmrmz2XGnR","xD69zh8xqp","VwlE7vj6HS","8cLx32lpNA","EWw2JM7wp4","tR7O2zTn5j","JuuLT1NoCs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"⊺⇮28452","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5706","layer":4},{"info":"compute unary expreesion, input=5706, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"number node, value=2802","layer":4},{"info":"number node, value=2349","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=2349, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2349","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2349, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":2},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=4971","layer":4},{"info":"compute unary expreesion, input=4971, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=4971","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=4971, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-14122","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-14122, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-28410","layer":1},{"info":"compute unary expreesion, input=-28410, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=28452","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5706↯⫤)⪪⊺⇮2802∌⊺⇮2349≚⊃≕((↑⊺⇮1302)⪉⨛(⊺⇮4971⋐⇩⊬))⫩⊇=⊺⇮28452","reverse_text":"⊺⇮28452=(⊺⇮5706↯⫤)⪪⊺⇮2802∌⊺⇮2349≚⊃≕((↑⊺⇮1302)⪉⨛(⊺⇮4971⋐⇩⊬))⫩⊇","cot":[{"info":"⊺⇮5706↯⫤=⊺⇮0","layer":3},{"info":"⊺⇮2802∌⊺⇮2349=⊺⇮-2349","layer":3},{"info":"⊺⇮0⪪⊺⇮-2349=⊺⇮0","layer":2},{"info":"↑⊺⇮1302=⊺⇮192","layer":3},{"info":"⊺⇮4971⋐⇩⊬=⊺⇮4971","layer":3},{"info":"⊺⇮192⪉⨛⊺⇮4971=⊺⇮-14122","layer":2},{"info":"⊺⇮0≚⊃≕⊺⇮-14122=⊺⇮-28410","layer":1},{"info":"⊺⇮-28410⫩⊇=⊺⇮28452","layer":0}]}
{"id":952,"expression_no_base_symbol":"((⪛⨧($1343$⇟⨁⪰))⪨⊡($1195$⨓$2013$)≦↸($4123$⨰$1841$))⩖⊿((≘($3573$≬⇓$2755$))⩍⋽⫝̸(⊽($1871$⨐$1049$)))","expression":"((⪛⨧(⊺⇮1343⇟⨁⪰))⪨⊡(⊺⇮1195⨓⊺⇮2013)≦↸(⊺⇮4123⨰⊺⇮1841))⩖⊿((≘(⊺⇮3573≬⇓⊺⇮2755))⩍⋽⫝̸(⊽(⊺⇮1871⨐⊺⇮1049)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2187,"operation_count":12,"complexity_ratio":182.25,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1343,"base":10}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1195,"base":10},"right_expr":{"type":"numeric_atoms","value":2013,"base":10}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4123,"base":10},"right_expr":{"type":"numeric_atoms","value":1841,"base":10}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3573,"base":10},"right_expr":{"type":"numeric_atoms","value":2755,"base":10}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1871,"base":10},"right_expr":{"type":"numeric_atoms","value":1049,"base":10}}}}},"used_operators":["RZ5CV9rWsJ","kuIXHzHcAH","6NJAcO2OWT","BX1lVwlMe0","RygbFNSyEJ","3ViojmjbAp","eewbuw0ToL","BiWNJpBvwn","tcjXMdvYtA","jWTQ2TZYIH","QxG7OkqoLX","Noe24qw2ks"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","2DDjHMKMc0","xUOZtlo3hN","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⊺⇮2332","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1517","layer":3},{"info":"compute unary expreesion, input=-1517, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-1633","layer":2},{"info":"number node, value=1195","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=2013, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2016","layer":3},{"info":"number node, value=4123","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=4123, right_input=1841, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2292","layer":3},{"info":"compute binary expreesion, left_input=-2016, right_input=2292, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=129","layer":2},{"info":"compute binary expreesion, left_input=-1633, right_input=129, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=144","layer":1},{"info":"number node, value=3573","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=3573, right_input=2755, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=13918","layer":2},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1049, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3742","layer":3},{"info":"compute unary expreesion, input=-3742, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=13918, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":1},{"info":"compute binary expreesion, left_input=144, right_input=-209, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=2332","layer":0}],"base":10,"result_base":10,"text":"((⪛⨧(⊺⇮1343⇟⨁⪰))⪨⊡(⊺⇮1195⨓⊺⇮2013)≦↸(⊺⇮4123⨰⊺⇮1841))⩖⊿((≘(⊺⇮3573≬⇓⊺⇮2755))⩍⋽⫝̸(⊽(⊺⇮1871⨐⊺⇮1049)))=⊺⇮2332","reverse_text":"⊺⇮2332=((⪛⨧(⊺⇮1343⇟⨁⪰))⪨⊡(⊺⇮1195⨓⊺⇮2013)≦↸(⊺⇮4123⨰⊺⇮1841))⩖⊿((≘(⊺⇮3573≬⇓⊺⇮2755))⩍⋽⫝̸(⊽(⊺⇮1871⨐⊺⇮1049)))","cot":[{"info":"⊺⇮1343⇟⨁⪰=⊺⇮-1517","layer":3},{"info":"⪛⨧⊺⇮-1517=⊺⇮-1633","layer":2},{"info":"⊺⇮1195⨓⊺⇮2013=⊺⇮-2016","layer":3},{"info":"⊺⇮4123⨰⊺⇮1841=⊺⇮2292","layer":3},{"info":"⊺⇮-2016≦↸⊺⇮2292=⊺⇮129","layer":2},{"info":"⊺⇮-1633⪨⊡⊺⇮129=⊺⇮144","layer":1},{"info":"⊺⇮3573≬⇓⊺⇮2755=⊺⇮-22","layer":3},{"info":"≘⊺⇮-22=⊺⇮13918","layer":2},{"info":"⊺⇮1871⨐⊺⇮1049=⊺⇮-3742","layer":3},{"info":"⊽⊺⇮-3742=⊺⇮0","layer":2},{"info":"⊺⇮13918⩍⋽⫝̸⊺⇮0=⊺⇮-209","layer":1},{"info":"⊺⇮144⩖⊿⊺⇮-209=⊺⇮2332","layer":0}]}
{"id":953,"expression_no_base_symbol":"((($1131$⨑≵⋬$2882$)↺($4482$↠))≴⪞⇿(⊄⩳↩(⊗$4636$)))⫗⊷⫓(((⨡↴$2324$)⨟⋌⩍($2817$⨶))↞⋁((↥$1452$)⪎↠($7868$⋩≍≻)))","expression":"(((⊺⇮1131⨑≵⋬⊺⇮2882)↺(⊺⇮4482↠))≴⪞⇿(⊄⩳↩(⊗⊺⇮4636)))⫗⊷⫓(((⨡↴⊺⇮2324)⨟⋌⩍(⊺⇮2817⨶))↞⋁((↥⊺⇮1452)⪎↠(⊺⇮7868⋩≍≻)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":87875,"operation_count":14,"complexity_ratio":6276.785714285715,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1131,"base":10},"right_expr":{"type":"numeric_atoms","value":2882,"base":10}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":4482,"base":10}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4636,"base":10}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2324,"base":10}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":2817,"base":10}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1452,"base":10}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":7868,"base":10}}}}},"used_operators":["zashukvMKz","lvlrscuwVU","7j4O788W3g","XnXgA4xnOs","LBdsKIvxzf","8w2t5hMYqp","RhiyfpczSx","RqrPlJkxDo","rGHVDoGpnC","liw5iZPkLH","rFxw8gIMmB","3tVxb0NHM4","A8NUZmVepG","WYd1w68Nbz"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Tcnh7f0tEr","W4YGzv6Whe","P8v4zCKN1o","f6k1SAg4EE","Qy55tPpLXF","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","k8jYdgA6NY","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"⊺⇮-134","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=2882, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-13140","layer":3},{"info":"number node, value=4482","layer":4},{"info":"compute unary expreesion, input=4482, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-13140, right_input=-447, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-447","layer":2},{"info":"number node, value=4636","layer":4},{"info":"compute unary expreesion, input=4636, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-9272","layer":3},{"info":"compute unary expreesion, input=-9272, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=27816","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=27816, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-9864","layer":1},{"info":"number node, value=2324","layer":4},{"info":"compute unary expreesion, input=2324, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3373","layer":3},{"info":"number node, value=2817","layer":4},{"info":"compute unary expreesion, input=2817, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=3888","layer":3},{"info":"compute binary expreesion, left_input=3373, right_input=3888, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":3},{"info":"number node, value=7868","layer":4},{"info":"compute unary expreesion, input=7868, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=24, right_input=-55, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=892","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=892, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9864, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":10,"result_base":10,"text":"(((⊺⇮1131⨑≵⋬⊺⇮2882)↺(⊺⇮4482↠))≴⪞⇿(⊄⩳↩(⊗⊺⇮4636)))⫗⊷⫓(((⨡↴⊺⇮2324)⨟⋌⩍(⊺⇮2817⨶))↞⋁((↥⊺⇮1452)⪎↠(⊺⇮7868⋩≍≻)))=⊺⇮-134","reverse_text":"⊺⇮-134=(((⊺⇮1131⨑≵⋬⊺⇮2882)↺(⊺⇮4482↠))≴⪞⇿(⊄⩳↩(⊗⊺⇮4636)))⫗⊷⫓(((⨡↴⊺⇮2324)⨟⋌⩍(⊺⇮2817⨶))↞⋁((↥⊺⇮1452)⪎↠(⊺⇮7868⋩≍≻)))","cot":[{"info":"⊺⇮1131⨑≵⋬⊺⇮2882=⊺⇮-13140","layer":3},{"info":"⊺⇮4482↠=⊺⇮-447","layer":3},{"info":"⊺⇮-13140↺⊺⇮-447=⊺⇮-447","layer":2},{"info":"⊗⊺⇮4636=⊺⇮-9272","layer":3},{"info":"⊄⩳↩⊺⇮-9272=⊺⇮27816","layer":2},{"info":"⊺⇮-447≴⪞⇿⊺⇮27816=⊺⇮-9864","layer":1},{"info":"⨡↴⊺⇮2324=⊺⇮3373","layer":3},{"info":"⊺⇮2817⨶=⊺⇮3888","layer":3},{"info":"⊺⇮3373⨟⋌⩍⊺⇮3888=NaN","layer":2},{"info":"↥⊺⇮1452=⊺⇮24","layer":3},{"info":"⊺⇮7868⋩≍≻=⊺⇮-55","layer":3},{"info":"⊺⇮24⪎↠⊺⇮-55=⊺⇮892","layer":2},{"info":"NaN↞⋁⊺⇮892=NaN","layer":1},{"info":"⊺⇮-9864⫗⊷⫓NaN=⊺⇮-134","layer":0}]}
{"id":954,"expression_no_base_symbol":"((∑⇻≧$2056$⊾⪯⋞$4810$)⪨≂($4029$⨐⩸⫘$4764$)⪝($5680$≁$1054$))≠≀($1298$⫯⪬∳$7260$≚⊃≕(⫛⫱⨽$2797$)↱$2084$≴⪞⇿$5002$∌↝(⋗⩬⋾$3681$))","expression":"((∑⇻≧⊺⇮2056⊾⪯⋞⊺⇮4810)⪨≂(⊺⇮4029⨐⩸⫘⊺⇮4764)⪝(⊺⇮5680≁⊺⇮1054))≠≀(⊺⇮1298⫯⪬∳⊺⇮7260≚⊃≕(⫛⫱⨽⊺⇮2797)↱⊺⇮2084≴⪞⇿⊺⇮5002∌↝(⋗⩬⋾⊺⇮3681))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3919,"operation_count":14,"complexity_ratio":279.92857142857144,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2056,"base":10},"right_expr":{"type":"numeric_atoms","value":4810,"base":10}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4029,"base":10},"right_expr":{"type":"numeric_atoms","value":4764,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5680,"base":10},"right_expr":{"type":"numeric_atoms","value":1054,"base":10}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1298,"base":10},"right_expr":{"type":"numeric_atoms","value":7260,"base":10}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2797,"base":10}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2084,"base":10},"right_expr":{"type":"numeric_atoms","value":5002,"base":10}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3681,"base":10}}}}},"used_operators":["IwW236VD4Y","sdazOOVcIp","l1M9WJ3V7u","HK0tfVPux8","wicAB68Tmb","fu6greOZ01","8N2wDY1A35","SR5kFfdi6N","Bmrmz2XGnR","d7ASUq0ydm","DlLNRPXxWL","9Isq31Ruls","lvlrscuwVU","DpFCA1CohY"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","3ViojmjbAp","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rGHVDoGpnC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2056","layer":4},{"info":"number node, value=4810","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=4810, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=9194","layer":3},{"info":"compute unary expreesion, input=9194, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=4029","layer":4},{"info":"number node, value=4764","layer":4},{"info":"compute binary expreesion, left_input=4029, right_input=4764, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5680","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=5680, right_input=1054, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=12095","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12095, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=1298","layer":4},{"info":"number node, value=7260","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=7260, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-737","layer":3},{"info":"number node, value=2797","layer":4},{"info":"compute unary expreesion, input=2797, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-737, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-3114","layer":2},{"info":"number node, value=2084","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=5002, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=6559676","layer":3},{"info":"number node, value=3681","layer":4},{"info":"compute unary expreesion, input=3681, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11043","layer":3},{"info":"compute binary expreesion, left_input=6559676, right_input=-11043, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=13119352","layer":2},{"info":"compute binary expreesion, left_input=-3114, right_input=13119352, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-39357534","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-39357534, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((∑⇻≧⊺⇮2056⊾⪯⋞⊺⇮4810)⪨≂(⊺⇮4029⨐⩸⫘⊺⇮4764)⪝(⊺⇮5680≁⊺⇮1054))≠≀(⊺⇮1298⫯⪬∳⊺⇮7260≚⊃≕(⫛⫱⨽⊺⇮2797)↱⊺⇮2084≴⪞⇿⊺⇮5002∌↝(⋗⩬⋾⊺⇮3681))=NaN","reverse_text":"NaN=((∑⇻≧⊺⇮2056⊾⪯⋞⊺⇮4810)⪨≂(⊺⇮4029⨐⩸⫘⊺⇮4764)⪝(⊺⇮5680≁⊺⇮1054))≠≀(⊺⇮1298⫯⪬∳⊺⇮7260≚⊃≕(⫛⫱⨽⊺⇮2797)↱⊺⇮2084≴⪞⇿⊺⇮5002∌↝(⋗⩬⋾⊺⇮3681))","cot":[{"info":"⊺⇮2056⊾⪯⋞⊺⇮4810=⊺⇮9194","layer":3},{"info":"∑⇻≧⊺⇮9194=⊺⇮-852","layer":2},{"info":"⊺⇮4029⨐⩸⫘⊺⇮4764=NaN","layer":3},{"info":"⊺⇮5680≁⊺⇮1054=⊺⇮12095","layer":3},{"info":"NaN⪝⊺⇮12095=NaN","layer":2},{"info":"⊺⇮-852⪨≂NaN=NaN","layer":1},{"info":"⊺⇮1298⫯⪬∳⊺⇮7260=⊺⇮-737","layer":3},{"info":"⫛⫱⨽⊺⇮2797=⊺⇮0","layer":3},{"info":"⊺⇮-737≚⊃≕⊺⇮0=⊺⇮-3114","layer":2},{"info":"⊺⇮2084≴⪞⇿⊺⇮5002=⊺⇮6559676","layer":3},{"info":"⋗⩬⋾⊺⇮3681=⊺⇮-11043","layer":3},{"info":"⊺⇮6559676∌↝⊺⇮-11043=⊺⇮13119352","layer":2},{"info":"⊺⇮-3114↱⊺⇮13119352=⊺⇮-39357534","layer":1},{"info":"NaN≠≀⊺⇮-39357534=NaN","layer":0}]}
{"id":955,"expression_no_base_symbol":"⨝⨆((⫖→$1669$)∴($4652$⫸⇳$2468$)⇩)","expression":"⨝⨆((⫖→⊺⇮1669)∴(⊺⇮4652⫸⇳⊺⇮2468)⇩)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1890,"operation_count":5,"complexity_ratio":378.0,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1669,"base":10}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4652,"base":10},"right_expr":{"type":"numeric_atoms","value":2468,"base":10}}}}},"used_operators":["bQ67fsrMVf","vRio1gEz1j","hrf7POJlIJ","U4ylXWHChL","gx7XJ7hdpj"],"dependent_operators":["tifHPKVTfV","W4YGzv6Whe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⊺⇮1886","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1669","layer":4},{"info":"compute unary expreesion, input=1669, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=4652","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=4652, right_input=2468, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=2002","layer":2},{"info":"compute unary expreesion, input=2002, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=2095","layer":1},{"info":"compute unary expreesion, input=2095, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1886","layer":0}],"base":10,"result_base":10,"text":"⨝⨆((⫖→⊺⇮1669)∴(⊺⇮4652⫸⇳⊺⇮2468)⇩)=⊺⇮1886","reverse_text":"⊺⇮1886=⨝⨆((⫖→⊺⇮1669)∴(⊺⇮4652⫸⇳⊺⇮2468)⇩)","cot":[{"info":"⫖→⊺⇮1669=⊺⇮177","layer":3},{"info":"⊺⇮4652⫸⇳⊺⇮2468=⊺⇮0","layer":3},{"info":"⊺⇮177∴⊺⇮0=⊺⇮2002","layer":2},{"info":"⊺⇮2002⇩=⊺⇮2095","layer":1},{"info":"⨝⨆⊺⇮2095=⊺⇮1886","layer":0}]}
{"id":956,"expression_no_base_symbol":"⪭⩑⪱((($4492$⫡⨏$2325$)⇽⩪)⨘)","expression":"⪭⩑⪱(((⊺⇮4492⫡⨏⊺⇮2325)⇽⩪)⨘)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":41201503,"operation_count":4,"complexity_ratio":10300375.75,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4492,"base":10},"right_expr":{"type":"numeric_atoms","value":2325,"base":10}}}}},"used_operators":["SIgE0bArFf","ljcfZBUpm8","FonBHBYJbU","QMFrweE19q"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"⊺⇮8320752","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4492","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=4492, right_input=2325, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27893","layer":3},{"info":"compute unary expreesion, input=27893, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=56308","layer":2},{"info":"compute unary expreesion, input=56308, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-394931","layer":1},{"info":"compute unary expreesion, input=-394931, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":10,"result_base":10,"text":"⪭⩑⪱(((⊺⇮4492⫡⨏⊺⇮2325)⇽⩪)⨘)=⊺⇮8320752","reverse_text":"⊺⇮8320752=⪭⩑⪱(((⊺⇮4492⫡⨏⊺⇮2325)⇽⩪)⨘)","cot":[{"info":"⊺⇮4492⫡⨏⊺⇮2325=⊺⇮27893","layer":3},{"info":"⊺⇮27893⇽⩪=⊺⇮56308","layer":2},{"info":"⊺⇮56308⨘=⊺⇮-394931","layer":1},{"info":"⪭⩑⪱⊺⇮-394931=⊺⇮8320752","layer":0}]}
{"id":957,"expression_no_base_symbol":"(≛$7166$)⨚⇆(≸$4455$)⫲≸⪮($1463$↓$4814$⨒$1230$≹⇙⪍$2498$)⪁($1021$⪔⊥$1041$)⫗⊷⫓($4434$%$3761$)⩹($2737$*$5463$)⇣⩺⋵($2615$⩁)","expression":"(≛⊺⇮7166)⨚⇆(≸⊺⇮4455)⫲≸⪮(⊺⇮1463↓⊺⇮4814⨒⊺⇮1230≹⇙⪍⊺⇮2498)⪁(⊺⇮1021⪔⊥⊺⇮1041)⫗⊷⫓(⊺⇮4434%⊺⇮3761)⩹(⊺⇮2737*⊺⇮5463)⇣⩺⋵(⊺⇮2615⩁)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":593271,"operation_count":15,"complexity_ratio":39551.4,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":7166,"base":10}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":4455,"base":10}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1463,"base":10},"right_expr":{"type":"numeric_atoms","value":4814,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1230,"base":10},"right_expr":{"type":"numeric_atoms","value":2498,"base":10}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1021,"base":10},"right_expr":{"type":"numeric_atoms","value":1041,"base":10}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4434,"base":10},"right_expr":{"type":"numeric_atoms","value":3761,"base":10}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2737,"base":10},"right_expr":{"type":"numeric_atoms","value":5463,"base":10}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":2615,"base":10}}}}},"used_operators":["I7sXao9hZE","P3lXMJvFrc","lwHaAYXP2r","W7eaUhjymW","eOf03JbCpp","y75s1iXyHd","Af076pWI7l","AHs5Up7iyr","2Wsdkap16l","zashukvMKz","HJ9erzHUuu","k8jYdgA6NY","F4yD0voBRQ","9HNa5Wba9A","5GqDbVmqXU"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","dWAJyo7jo9","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=7166","layer":4},{"info":"compute unary expreesion, input=7166, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=4455","layer":4},{"info":"compute unary expreesion, input=4455, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=58, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=8466989","layer":2},{"info":"number node, value=1463","layer":4},{"info":"number node, value=4814","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=4814, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=2498, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8466989, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1041, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1803","layer":3},{"info":"number node, value=4434","layer":4},{"info":"number node, value=3761","layer":4},{"info":"compute binary expreesion, left_input=4434, right_input=3761, op_id = k8jYdgA6NY binary_op_definition= 'None', output=673","layer":3},{"info":"compute binary expreesion, left_input=1803, right_input=673, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=2737","layer":4},{"info":"number node, value=5463","layer":4},{"info":"compute binary expreesion, left_input=2737, right_input=5463, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14952231","layer":3},{"info":"number node, value=2615","layer":4},{"info":"compute unary expreesion, input=2615, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-18140","layer":3},{"info":"compute binary expreesion, left_input=14952231, right_input=-18140, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-260, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-262, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(≛⊺⇮7166)⨚⇆(≸⊺⇮4455)⫲≸⪮(⊺⇮1463↓⊺⇮4814⨒⊺⇮1230≹⇙⪍⊺⇮2498)⪁(⊺⇮1021⪔⊥⊺⇮1041)⫗⊷⫓(⊺⇮4434%⊺⇮3761)⩹(⊺⇮2737*⊺⇮5463)⇣⩺⋵(⊺⇮2615⩁)=NaN","reverse_text":"NaN=(≛⊺⇮7166)⨚⇆(≸⊺⇮4455)⫲≸⪮(⊺⇮1463↓⊺⇮4814⨒⊺⇮1230≹⇙⪍⊺⇮2498)⪁(⊺⇮1021⪔⊥⊺⇮1041)⫗⊷⫓(⊺⇮4434%⊺⇮3761)⩹(⊺⇮2737*⊺⇮5463)⇣⩺⋵(⊺⇮2615⩁)","cot":[{"info":"≛⊺⇮7166=⊺⇮-10","layer":3},{"info":"≸⊺⇮4455=⊺⇮58","layer":3},{"info":"⊺⇮-10⨚⇆⊺⇮58=⊺⇮8466989","layer":2},{"info":"⊺⇮1463↓⊺⇮4814=⊺⇮-134","layer":3},{"info":"⊺⇮1230≹⇙⪍⊺⇮2498=NaN","layer":3},{"info":"⊺⇮-134⨒NaN=NaN","layer":2},{"info":"⊺⇮8466989⫲≸⪮NaN=NaN","layer":1},{"info":"⊺⇮1021⪔⊥⊺⇮1041=⊺⇮1803","layer":3},{"info":"⊺⇮4434%⊺⇮3761=⊺⇮673","layer":3},{"info":"⊺⇮1803⫗⊷⫓⊺⇮673=⊺⇮-134","layer":2},{"info":"⊺⇮2737*⊺⇮5463=⊺⇮14952231","layer":3},{"info":"⊺⇮2615⩁=⊺⇮-18140","layer":3},{"info":"⊺⇮14952231⇣⩺⋵⊺⇮-18140=⊺⇮-260","layer":2},{"info":"⊺⇮-134⩹⊺⇮-260=⊺⇮-262","layer":1},{"info":"NaN⪁⊺⇮-262=NaN","layer":0}]}
{"id":958,"expression_no_base_symbol":"≉(↩$3715$⪕$3545$)∌(($6722$⪶≀⋏$3416$)⪢($2689$⫸⇳$7420$))","expression":"≉(↩⊺⇮3715⪕⊺⇮3545)∌((⊺⇮6722⪶≀⋏⊺⇮3416)⪢(⊺⇮2689⫸⇳⊺⇮7420))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":56,"operation_count":7,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3715,"base":10},"right_expr":{"type":"numeric_atoms","value":3545,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":6722,"base":10},"right_expr":{"type":"numeric_atoms","value":3416,"base":10}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2689,"base":10},"right_expr":{"type":"numeric_atoms","value":7420,"base":10}}}}},"used_operators":["e1ybzncUwg","8cLx32lpNA","jLgFTUHLKL","umQnsF7QlU","dWAJyo7jo9","zR4jO40bMj","gx7XJ7hdpj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⊺⇮-35508","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3715","layer":4},{"info":"number node, value=3545","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=3545, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4786","layer":3},{"info":"compute unary expreesion, input=4786, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-35508","layer":2},{"info":"number node, value=6722","layer":4},{"info":"number node, value=3416","layer":4},{"info":"compute binary expreesion, left_input=6722, right_input=3416, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-27230","layer":3},{"info":"number node, value=2689","layer":4},{"info":"number node, value=7420","layer":4},{"info":"compute binary expreesion, left_input=2689, right_input=7420, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-27230, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-35508, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-35508","layer":1},{"info":"compute unary expreesion, input=-35508, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-35508","layer":0}],"base":10,"result_base":10,"text":"≉(↩⊺⇮3715⪕⊺⇮3545)∌((⊺⇮6722⪶≀⋏⊺⇮3416)⪢(⊺⇮2689⫸⇳⊺⇮7420))=⊺⇮-35508","reverse_text":"⊺⇮-35508=≉(↩⊺⇮3715⪕⊺⇮3545)∌((⊺⇮6722⪶≀⋏⊺⇮3416)⪢(⊺⇮2689⫸⇳⊺⇮7420))","cot":[{"info":"⊺⇮3715⪕⊺⇮3545=⊺⇮4786","layer":3},{"info":"↩⊺⇮4786=⊺⇮-35508","layer":2},{"info":"⊺⇮6722⪶≀⋏⊺⇮3416=⊺⇮-27230","layer":3},{"info":"⊺⇮2689⫸⇳⊺⇮7420=⊺⇮0","layer":3},{"info":"⊺⇮-27230⪢⊺⇮0=⊺⇮0","layer":2},{"info":"⊺⇮-35508∌⊺⇮0=⊺⇮-35508","layer":1},{"info":"≉⊺⇮-35508=⊺⇮-35508","layer":0}]}
{"id":959,"expression_no_base_symbol":"(($2151$≒∊$1391$)⨂≜($1297$⨎$1615$)⋭≵($1177$⋛$7224$)⪚($1127$≚⊃≕$2452$))⇂≾⫗((($1915$⊍⩺⋍$2380$)⪕($1167$⨑≵⋬$6189$))⪔⊥(⫓⪴$5221$≄⊠$3615$))","expression":"((⊺⇮2151≒∊⊺⇮1391)⨂≜(⊺⇮1297⨎⊺⇮1615)⋭≵(⊺⇮1177⋛⊺⇮7224)⪚(⊺⇮1127≚⊃≕⊺⇮2452))⇂≾⫗(((⊺⇮1915⊍⩺⋍⊺⇮2380)⪕(⊺⇮1167⨑≵⋬⊺⇮6189))⪔⊥(⫓⪴⊺⇮5221≄⊠⊺⇮3615))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":64939,"operation_count":14,"complexity_ratio":4638.5,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2151,"base":10},"right_expr":{"type":"numeric_atoms","value":1391,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1297,"base":10},"right_expr":{"type":"numeric_atoms","value":1615,"base":10}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1177,"base":10},"right_expr":{"type":"numeric_atoms","value":7224,"base":10}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1127,"base":10},"right_expr":{"type":"numeric_atoms","value":2452,"base":10}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1915,"base":10},"right_expr":{"type":"numeric_atoms","value":2380,"base":10}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1167,"base":10},"right_expr":{"type":"numeric_atoms","value":6189,"base":10}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5221,"base":10},"right_expr":{"type":"numeric_atoms","value":3615,"base":10}}}}},"used_operators":["aBQ6xLxuTc","jBncVCNhdl","k1SHOSEABc","5KTvxBwnZo","rJVOvQCfKK","HrjLwUk87U","YbUVn0Rbpy","Bmrmz2XGnR","HJ9erzHUuu","umQnsF7QlU","OXDGMFPWZM","XnXgA4xnOs","eLxqMNBOBk","vXNesLlMH1"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9HNa5Wba9A","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2151","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=2151, right_input=1391, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1667","layer":3},{"info":"number node, value=1297","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=1615, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1615","layer":3},{"info":"compute binary expreesion, left_input=-1667, right_input=1615, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1177","layer":4},{"info":"number node, value=7224","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=7224, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-121599","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=2452, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-8598","layer":3},{"info":"compute binary expreesion, left_input=-121599, right_input=-8598, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=242322","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=242322, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=1915","layer":4},{"info":"number node, value=2380","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=2380, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1167","layer":4},{"info":"number node, value=6189","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=6189, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-36109","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-36109, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=5221","layer":4},{"info":"number node, value=3615","layer":4},{"info":"compute binary expreesion, left_input=5221, right_input=3615, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=62508","layer":3},{"info":"compute unary expreesion, input=62508, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=inf, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2151≒∊⊺⇮1391)⨂≜(⊺⇮1297⨎⊺⇮1615)⋭≵(⊺⇮1177⋛⊺⇮7224)⪚(⊺⇮1127≚⊃≕⊺⇮2452))⇂≾⫗(((⊺⇮1915⊍⩺⋍⊺⇮2380)⪕(⊺⇮1167⨑≵⋬⊺⇮6189))⪔⊥(⫓⪴⊺⇮5221≄⊠⊺⇮3615))=NaN","reverse_text":"NaN=((⊺⇮2151≒∊⊺⇮1391)⨂≜(⊺⇮1297⨎⊺⇮1615)⋭≵(⊺⇮1177⋛⊺⇮7224)⪚(⊺⇮1127≚⊃≕⊺⇮2452))⇂≾⫗(((⊺⇮1915⊍⩺⋍⊺⇮2380)⪕(⊺⇮1167⨑≵⋬⊺⇮6189))⪔⊥(⫓⪴⊺⇮5221≄⊠⊺⇮3615))","cot":[{"info":"⊺⇮2151≒∊⊺⇮1391=⊺⇮-1667","layer":3},{"info":"⊺⇮1297⨎⊺⇮1615=⊺⇮1615","layer":3},{"info":"⊺⇮-1667⨂≜⊺⇮1615=NaN","layer":2},{"info":"⊺⇮1177⋛⊺⇮7224=⊺⇮-121599","layer":3},{"info":"⊺⇮1127≚⊃≕⊺⇮2452=⊺⇮-8598","layer":3},{"info":"⊺⇮-121599⪚⊺⇮-8598=⊺⇮242322","layer":2},{"info":"NaN⋭≵⊺⇮242322=⊺⇮67","layer":1},{"info":"⊺⇮1915⊍⩺⋍⊺⇮2380=NaN","layer":3},{"info":"⊺⇮1167⨑≵⋬⊺⇮6189=⊺⇮-36109","layer":3},{"info":"NaN⪕⊺⇮-36109=⊺⇮935","layer":2},{"info":"⊺⇮5221≄⊠⊺⇮3615=⊺⇮62508","layer":3},{"info":"⫓⪴⊺⇮62508=Inf","layer":2},{"info":"⊺⇮935⪔⊥Inf=NaN","layer":1},{"info":"⊺⇮67⇂≾⫗NaN=NaN","layer":0}]}
{"id":960,"expression_no_base_symbol":"(⋃($6269$⪥$4002$))⊉↱≁($5579$↢$2075$⩠)⨚⇆(≇⪴(($6478$≚⋢)⨭⪣$4090$⨐$1012$))","expression":"(⋃(⊺⇮6269⪥⊺⇮4002))⊉↱≁(⊺⇮5579↢⊺⇮2075⩠)⨚⇆(≇⪴((⊺⇮6478≚⋢)⨭⪣⊺⇮4090⨐⊺⇮1012))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4168958,"operation_count":10,"complexity_ratio":416895.8,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6269,"base":10},"right_expr":{"type":"numeric_atoms","value":4002,"base":10}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":5579,"base":10},"right_expr":{"type":"numeric_atoms","value":2075,"base":10}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":6478,"base":10}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4090,"base":10},"right_expr":{"type":"numeric_atoms","value":1012,"base":10}}}}},"used_operators":["lwHaAYXP2r","w2P8NbNXyL","3mBM5G4a3l","QbnwKVWMIQ","sJAwomhLZr","WR6HLWljOP","zoVPnxeHJ3","kn8WO9XteQ","MahUMFw56D","Noe24qw2ks"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","g55IO6H4Gj","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","3ViojmjbAp","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6269","layer":4},{"info":"number node, value=4002","layer":4},{"info":"compute binary expreesion, left_input=6269, right_input=4002, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=29728","layer":3},{"info":"compute unary expreesion, input=29728, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=59558","layer":2},{"info":"number node, value=5579","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=5579, right_input=2075, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5095","layer":3},{"info":"compute unary expreesion, input=5095, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=59558, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=595528","layer":1},{"info":"number node, value=6478","layer":4},{"info":"compute unary expreesion, input=6478, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=4090","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=4090, right_input=1012, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8180","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=-8180, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-233","layer":2},{"info":"compute unary expreesion, input=-233, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-932","layer":1},{"info":"compute binary expreesion, left_input=595528, right_input=-932, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⋃(⊺⇮6269⪥⊺⇮4002))⊉↱≁(⊺⇮5579↢⊺⇮2075⩠)⨚⇆(≇⪴((⊺⇮6478≚⋢)⨭⪣⊺⇮4090⨐⊺⇮1012))=NaN","reverse_text":"NaN=(⋃(⊺⇮6269⪥⊺⇮4002))⊉↱≁(⊺⇮5579↢⊺⇮2075⩠)⨚⇆(≇⪴((⊺⇮6478≚⋢)⨭⪣⊺⇮4090⨐⊺⇮1012))","cot":[{"info":"⊺⇮6269⪥⊺⇮4002=⊺⇮29728","layer":3},{"info":"⋃⊺⇮29728=⊺⇮59558","layer":2},{"info":"⊺⇮5579↢⊺⇮2075=⊺⇮5095","layer":3},{"info":"⊺⇮5095⩠=⊺⇮0","layer":2},{"info":"⊺⇮59558⊉↱≁⊺⇮0=⊺⇮595528","layer":1},{"info":"⊺⇮6478≚⋢=⊺⇮-89","layer":3},{"info":"⊺⇮4090⨐⊺⇮1012=⊺⇮-8180","layer":3},{"info":"⊺⇮-89⨭⪣⊺⇮-8180=⊺⇮-233","layer":2},{"info":"≇⪴⊺⇮-233=⊺⇮-932","layer":1},{"info":"⊺⇮595528⨚⇆⊺⇮-932=NaN","layer":0}]}
{"id":961,"expression_no_base_symbol":"(($1728$⋾⨃∁$3978$∪⫐$1262$⫯⪬∳$6360$)⫸⇳($8283$⊉↱≁$2431$)⩣⫁∢(⨴⫝$6385$))⨿((($6225$%$3563$)∠⫱(⨩∲⋌$2993$))⋾⨃∁(↩⪖($1359$⨒$5956$)))","expression":"((⊺⇮1728⋾⨃∁⊺⇮3978∪⫐⊺⇮1262⫯⪬∳⊺⇮6360)⫸⇳(⊺⇮8283⊉↱≁⊺⇮2431)⩣⫁∢(⨴⫝⊺⇮6385))⨿(((⊺⇮6225%⊺⇮3563)∠⫱(⨩∲⋌⊺⇮2993))⋾⨃∁(↩⪖(⊺⇮1359⨒⊺⇮5956)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":112962,"operation_count":14,"complexity_ratio":8068.714285714285,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1728,"base":10},"right_expr":{"type":"numeric_atoms","value":3978,"base":10}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1262,"base":10},"right_expr":{"type":"numeric_atoms","value":6360,"base":10}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":8283,"base":10},"right_expr":{"type":"numeric_atoms","value":2431,"base":10}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":6385,"base":10}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6225,"base":10},"right_expr":{"type":"numeric_atoms","value":3563,"base":10}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2993,"base":10}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1359,"base":10},"right_expr":{"type":"numeric_atoms","value":5956,"base":10}}}}},"used_operators":["abYXlopdE0","gx7XJ7hdpj","7YooWSwCyH","212REbPD9h","d7ASUq0ydm","JDUIKTTSIa","w2P8NbNXyL","SVb2v531z1","QvoQhV0rrE","k8jYdgA6NY","aSik1wnThz","fG6uBQFnGz","y75s1iXyHd"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rJVOvQCfKK","2DDjHMKMc0","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⊺⇮121","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1728","layer":4},{"info":"number node, value=3978","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=3978, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=158197010","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=6360","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=6360, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-17","layer":3},{"info":"compute binary expreesion, left_input=158197010, right_input=-17, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=158197010","layer":2},{"info":"number node, value=8283","layer":4},{"info":"number node, value=2431","layer":4},{"info":"compute binary expreesion, left_input=8283, right_input=2431, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=68192","layer":3},{"info":"number node, value=6385","layer":4},{"info":"compute unary expreesion, input=6385, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=68192, right_input=2828198, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-136223","layer":2},{"info":"compute binary expreesion, left_input=158197010, right_input=-136223, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"number node, value=6225","layer":4},{"info":"number node, value=3563","layer":4},{"info":"compute binary expreesion, left_input=6225, right_input=3563, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2662","layer":3},{"info":"number node, value=2993","layer":4},{"info":"compute unary expreesion, input=2993, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3516","layer":3},{"info":"compute binary expreesion, left_input=2662, right_input=-3516, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=6178","layer":2},{"info":"number node, value=1359","layer":4},{"info":"number node, value=5956","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=5956, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7782","layer":3},{"info":"compute unary expreesion, input=-7782, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=106754","layer":2},{"info":"compute binary expreesion, left_input=6178, right_input=106754, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1728⋾⨃∁⊺⇮3978∪⫐⊺⇮1262⫯⪬∳⊺⇮6360)⫸⇳(⊺⇮8283⊉↱≁⊺⇮2431)⩣⫁∢(⨴⫝⊺⇮6385))⨿(((⊺⇮6225%⊺⇮3563)∠⫱(⨩∲⋌⊺⇮2993))⋾⨃∁(↩⪖(⊺⇮1359⨒⊺⇮5956)))=⊺⇮121","reverse_text":"⊺⇮121=((⊺⇮1728⋾⨃∁⊺⇮3978∪⫐⊺⇮1262⫯⪬∳⊺⇮6360)⫸⇳(⊺⇮8283⊉↱≁⊺⇮2431)⩣⫁∢(⨴⫝⊺⇮6385))⨿(((⊺⇮6225%⊺⇮3563)∠⫱(⨩∲⋌⊺⇮2993))⋾⨃∁(↩⪖(⊺⇮1359⨒⊺⇮5956)))","cot":[{"info":"⊺⇮1728⋾⨃∁⊺⇮3978=⊺⇮158197010","layer":3},{"info":"⊺⇮1262⫯⪬∳⊺⇮6360=⊺⇮-17","layer":3},{"info":"⊺⇮158197010∪⫐⊺⇮-17=⊺⇮158197010","layer":2},{"info":"⊺⇮8283⊉↱≁⊺⇮2431=⊺⇮68192","layer":3},{"info":"⨴⫝⊺⇮6385=⊺⇮2828198","layer":3},{"info":"⊺⇮68192⩣⫁∢⊺⇮2828198=⊺⇮-136223","layer":2},{"info":"⊺⇮158197010⫸⇳⊺⇮-136223=⊺⇮0","layer":1},{"info":"⊺⇮6225%⊺⇮3563=⊺⇮2662","layer":3},{"info":"⨩∲⋌⊺⇮2993=⊺⇮-3516","layer":3},{"info":"⊺⇮2662∠⫱⊺⇮-3516=⊺⇮6178","layer":2},{"info":"⊺⇮1359⨒⊺⇮5956=⊺⇮-7782","layer":3},{"info":"↩⪖⊺⇮-7782=⊺⇮106754","layer":2},{"info":"⊺⇮6178⋾⨃∁⊺⇮106754=NaN","layer":1},{"info":"⊺⇮0⨿NaN=⊺⇮121","layer":0}]}
{"id":962,"expression_no_base_symbol":"⇙⪊(($1463$≎⊠⪸$2177$)⋾⨃∁$3255$⫁⪎$3570$⩧⪆(≛$2967$)⪢(∜⨇$5383$))","expression":"⇙⪊((⊺⇮1463≎⊠⪸⊺⇮2177)⋾⨃∁⊺⇮3255⫁⪎⊺⇮3570⩧⪆(≛⊺⇮2967)⪢(∜⨇⊺⇮5383))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":706,"operation_count":8,"complexity_ratio":88.25,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1463,"base":10},"right_expr":{"type":"numeric_atoms","value":2177,"base":10}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3255,"base":10},"right_expr":{"type":"numeric_atoms","value":3570,"base":10}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":2967,"base":10}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":5383,"base":10}}}}},"used_operators":["pB6Fcnrjim","Ikt5ks8PT7","212REbPD9h","bJkvcejdHO","xRrnTEsQ6j","dWAJyo7jo9","W7eaUhjymW","uFPyJr306J"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","eewbuw0ToL","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","k8jYdgA6NY","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=2177, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=378444","layer":3},{"info":"number node, value=3255","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=3255, right_input=3570, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-315","layer":3},{"info":"compute binary expreesion, left_input=378444, right_input=-315, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=995936","layer":2},{"info":"number node, value=2967","layer":4},{"info":"compute unary expreesion, input=2967, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=5383","layer":4},{"info":"compute unary expreesion, input=5383, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=995936, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⇙⪊((⊺⇮1463≎⊠⪸⊺⇮2177)⋾⨃∁⊺⇮3255⫁⪎⊺⇮3570⩧⪆(≛⊺⇮2967)⪢(∜⨇⊺⇮5383))=NaN","reverse_text":"NaN=⇙⪊((⊺⇮1463≎⊠⪸⊺⇮2177)⋾⨃∁⊺⇮3255⫁⪎⊺⇮3570⩧⪆(≛⊺⇮2967)⪢(∜⨇⊺⇮5383))","cot":[{"info":"⊺⇮1463≎⊠⪸⊺⇮2177=⊺⇮378444","layer":3},{"info":"⊺⇮3255⫁⪎⊺⇮3570=⊺⇮-315","layer":3},{"info":"⊺⇮378444⋾⨃∁⊺⇮-315=⊺⇮995936","layer":2},{"info":"≛⊺⇮2967=⊺⇮-10","layer":3},{"info":"∜⨇⊺⇮5383=NaN","layer":3},{"info":"⊺⇮-10⪢NaN=NaN","layer":2},{"info":"⊺⇮995936⩧⪆NaN=NaN","layer":1},{"info":"⇙⪊NaN=NaN","layer":0}]}
{"id":963,"expression_no_base_symbol":"(($1988$↤⩊$2760$⇀∌)⊋≦⊧($1072$⊬⨰$5188$⨐⩸⫘($1369$⪬∳)))⋾⨃∁($1705$⪪$1473$∙∹∝(⇵⪽$3788$))⪎↠($2739$⫳≱↱$2917$)↞⋁($2689$⫩)","expression":"((⊺⇮1988↤⩊⊺⇮2760⇀∌)⊋≦⊧(⊺⇮1072⊬⨰⊺⇮5188⨐⩸⫘(⊺⇮1369⪬∳)))⋾⨃∁(⊺⇮1705⪪⊺⇮1473∙∹∝(⇵⪽⊺⇮3788))⪎↠(⊺⇮2739⫳≱↱⊺⇮2917)↞⋁(⊺⇮2689⫩)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":520778,"operation_count":14,"complexity_ratio":37198.42857142857,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1988,"base":10},"right_expr":{"type":"numeric_atoms","value":2760,"base":10}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1072,"base":10},"right_expr":{"type":"numeric_atoms","value":5188,"base":10}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1369,"base":10}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1705,"base":10},"right_expr":{"type":"numeric_atoms","value":1473,"base":10}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3788,"base":10}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2739,"base":10},"right_expr":{"type":"numeric_atoms","value":2917,"base":10}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":2689,"base":10}}}}},"used_operators":["212REbPD9h","oRDoc9rAEX","2k53nXOpI5","13rbtpv6ld","fu6greOZ01","s3Fd5m9Dh2","O9U3z1385E","3tVxb0NHM4","HmxsFra2vL","xD69zh8xqp","ZGCBLdVRRX","RqrPlJkxDo","ZvLB05nZmT","6aG7x05OhS"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","3ViojmjbAp","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","U7g4x0WXJJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","dWAJyo7jo9"],"result":"⊺⇮7523730","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1988","layer":4},{"info":"number node, value=2760","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=2760, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=5188","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=5188, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=20768","layer":3},{"info":"number node, value=1369","layer":4},{"info":"compute unary expreesion, input=1369, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=20768, right_input=-709, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=712","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=712, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=1705","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=1473, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-253544","layer":3},{"info":"number node, value=3788","layer":4},{"info":"compute unary expreesion, input=3788, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-253544, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2739","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=2917, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2689","layer":4},{"info":"compute unary expreesion, input=2689, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=7523730","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮1988↤⩊⊺⇮2760⇀∌)⊋≦⊧(⊺⇮1072⊬⨰⊺⇮5188⨐⩸⫘(⊺⇮1369⪬∳)))⋾⨃∁(⊺⇮1705⪪⊺⇮1473∙∹∝(⇵⪽⊺⇮3788))⪎↠(⊺⇮2739⫳≱↱⊺⇮2917)↞⋁(⊺⇮2689⫩)=⊺⇮7523730","reverse_text":"⊺⇮7523730=((⊺⇮1988↤⩊⊺⇮2760⇀∌)⊋≦⊧(⊺⇮1072⊬⨰⊺⇮5188⨐⩸⫘(⊺⇮1369⪬∳)))⋾⨃∁(⊺⇮1705⪪⊺⇮1473∙∹∝(⇵⪽⊺⇮3788))⪎↠(⊺⇮2739⫳≱↱⊺⇮2917)↞⋁(⊺⇮2689⫩)","cot":[{"info":"⊺⇮1988↤⩊⊺⇮2760=NaN","layer":3},{"info":"NaN⇀∌=NaN","layer":2},{"info":"⊺⇮1072⊬⨰⊺⇮5188=⊺⇮20768","layer":3},{"info":"⊺⇮1369⪬∳=⊺⇮-709","layer":3},{"info":"⊺⇮20768⨐⩸⫘⊺⇮-709=⊺⇮712","layer":2},{"info":"NaN⊋≦⊧⊺⇮712=NaN","layer":1},{"info":"⊺⇮1705⪪⊺⇮1473=⊺⇮-253544","layer":3},{"info":"⇵⪽⊺⇮3788=NaN","layer":3},{"info":"⊺⇮-253544∙∹∝NaN=⊺⇮0","layer":2},{"info":"⊺⇮2739⫳≱↱⊺⇮2917=⊺⇮-204","layer":3},{"info":"⊺⇮2689⫩=NaN","layer":3},{"info":"⊺⇮-204↞⋁NaN=NaN","layer":2},{"info":"⊺⇮0⪎↠NaN=⊺⇮868","layer":1},{"info":"NaN⋾⨃∁⊺⇮868=⊺⇮7523730","layer":0}]}
{"id":964,"expression_no_base_symbol":"($2772$⋣⋖$4303$⩵∡($1950$⫃⨇$2270$))⫁⪎($2385$⇌⫙⪟$1963$)⩖⊿($3747$⫉⨲⊜$7810$)≧⫂∧(($1508$≠≀$3249$)⩘(≑⋹$7169$))≦↸($6246$⫥∨⫟$1069$⫚↹⊑$1029$⪪$1793$)","expression":"(⊺⇮2772⋣⋖⊺⇮4303⩵∡(⊺⇮1950⫃⨇⊺⇮2270))⫁⪎(⊺⇮2385⇌⫙⪟⊺⇮1963)⩖⊿(⊺⇮3747⫉⨲⊜⊺⇮7810)≧⫂∧((⊺⇮1508≠≀⊺⇮3249)⩘(≑⋹⊺⇮7169))≦↸(⊺⇮6246⫥∨⫟⊺⇮1069⫚↹⊑⊺⇮1029⪪⊺⇮1793)","highest_n_order":4,"priority_hierarchical_complexity":15,"normalized_expansion_degree":11837,"operation_count":15,"complexity_ratio":789.1333333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2772,"base":10},"right_expr":{"type":"numeric_atoms","value":4303,"base":10}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1950,"base":10},"right_expr":{"type":"numeric_atoms","value":2270,"base":10}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2385,"base":10},"right_expr":{"type":"numeric_atoms","value":1963,"base":10}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3747,"base":10},"right_expr":{"type":"numeric_atoms","value":7810,"base":10}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1508,"base":10},"right_expr":{"type":"numeric_atoms","value":3249,"base":10}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":7169,"base":10}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6246,"base":10},"right_expr":{"type":"numeric_atoms","value":1069,"base":10}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1029,"base":10},"right_expr":{"type":"numeric_atoms","value":1793,"base":10}}}}},"used_operators":["Ph9nP6C5qx","xRrnTEsQ6j","Y7wcNGrDQJ","J0M6qkBnIM","09Ly4LVMIf","RZ5CV9rWsJ","AFVx7xoS7T","WhqkvtTD3t","RygbFNSyEJ","cHh1gJQ2o6","IwW236VD4Y","6B9nyZLogK","dfKe02y8D2","KYD54nUTWz","xD69zh8xqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","8HhzD0ZcuI","rGHVDoGpnC","FU0Cs4j7VP","JclMnS0uGI"],"result":"⊺⇮48","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2772","layer":4},{"info":"number node, value=4303","layer":4},{"info":"compute binary expreesion, left_input=2772, right_input=4303, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2772","layer":3},{"info":"number node, value=1950","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=2270, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9112","layer":3},{"info":"compute binary expreesion, left_input=2772, right_input=-9112, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-14777","layer":2},{"info":"number node, value=2385","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=1963, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=3747","layer":4},{"info":"number node, value=7810","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=7810, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1914","layer":2},{"info":"compute binary expreesion, left_input=-14777, right_input=1914, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-16691","layer":1},{"info":"number node, value=1508","layer":4},{"info":"number node, value=3249","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=3249, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2710","layer":3},{"info":"number node, value=7169","layer":4},{"info":"compute unary expreesion, input=7169, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-2710, right_input=1650, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=6246","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=6246, right_input=1069, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1793, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-151468","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-151468, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=521","layer":1},{"info":"compute binary expreesion, left_input=-16691, right_input=521, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=48","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮2772⋣⋖⊺⇮4303⩵∡(⊺⇮1950⫃⨇⊺⇮2270))⫁⪎(⊺⇮2385⇌⫙⪟⊺⇮1963)⩖⊿(⊺⇮3747⫉⨲⊜⊺⇮7810)≧⫂∧((⊺⇮1508≠≀⊺⇮3249)⩘(≑⋹⊺⇮7169))≦↸(⊺⇮6246⫥∨⫟⊺⇮1069⫚↹⊑⊺⇮1029⪪⊺⇮1793)=⊺⇮48","reverse_text":"⊺⇮48=(⊺⇮2772⋣⋖⊺⇮4303⩵∡(⊺⇮1950⫃⨇⊺⇮2270))⫁⪎(⊺⇮2385⇌⫙⪟⊺⇮1963)⩖⊿(⊺⇮3747⫉⨲⊜⊺⇮7810)≧⫂∧((⊺⇮1508≠≀⊺⇮3249)⩘(≑⋹⊺⇮7169))≦↸(⊺⇮6246⫥∨⫟⊺⇮1069⫚↹⊑⊺⇮1029⪪⊺⇮1793)","cot":[{"info":"⊺⇮2772⋣⋖⊺⇮4303=⊺⇮2772","layer":3},{"info":"⊺⇮1950⫃⨇⊺⇮2270=⊺⇮-9112","layer":3},{"info":"⊺⇮2772⩵∡⊺⇮-9112=⊺⇮-14777","layer":2},{"info":"⊺⇮2385⇌⫙⪟⊺⇮1963=⊺⇮113","layer":3},{"info":"⊺⇮3747⫉⨲⊜⊺⇮7810=⊺⇮0","layer":3},{"info":"⊺⇮113⩖⊿⊺⇮0=⊺⇮1914","layer":2},{"info":"⊺⇮-14777⫁⪎⊺⇮1914=⊺⇮-16691","layer":1},{"info":"⊺⇮1508≠≀⊺⇮3249=⊺⇮-2710","layer":3},{"info":"≑⋹⊺⇮7169=⊺⇮1650","layer":3},{"info":"⊺⇮-2710⩘⊺⇮1650=⊺⇮160","layer":2},{"info":"⊺⇮6246⫥∨⫟⊺⇮1069=NaN","layer":3},{"info":"⊺⇮1029⪪⊺⇮1793=⊺⇮-151468","layer":3},{"info":"NaN⫚↹⊑⊺⇮-151468=⊺⇮-447","layer":2},{"info":"⊺⇮160≦↸⊺⇮-447=⊺⇮521","layer":1},{"info":"⊺⇮-16691≧⫂∧⊺⇮521=⊺⇮48","layer":0}]}
{"id":965,"expression_no_base_symbol":"⪛⨧((⊖∈$3267$)⪘⫢$2216$⨼⩣$3413$)⨽∌($2861$⊕∕$3290$∠⫱($1598$∙⊟$1114$))","expression":"⪛⨧((⊖∈⊺⇮3267)⪘⫢⊺⇮2216⨼⩣⊺⇮3413)⨽∌(⊺⇮2861⊕∕⊺⇮3290∠⫱(⊺⇮1598∙⊟⊺⇮1114))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2167,"operation_count":8,"complexity_ratio":270.875,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":3267,"base":10}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2216,"base":10},"right_expr":{"type":"numeric_atoms","value":3413,"base":10}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2861,"base":10},"right_expr":{"type":"numeric_atoms","value":3290,"base":10}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1598,"base":10},"right_expr":{"type":"numeric_atoms","value":1114,"base":10}}}}},"used_operators":["6NJAcO2OWT","9samAPKr6k","oacrs7FA3X","YFxL8Sc2Zy","JxwMv5le6e","QvoQhV0rrE","9cloC0Ngie","SxTAKzQCrw"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⊺⇮1401","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3267","layer":4},{"info":"compute unary expreesion, input=3267, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=59746","layer":3},{"info":"number node, value=2216","layer":4},{"info":"number node, value=3413","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=3413, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=59746, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=2861","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=2861, right_input=3290, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2861","layer":3},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1114, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=30620","layer":3},{"info":"compute binary expreesion, left_input=2861, right_input=30620, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1401","layer":0}],"base":10,"result_base":10,"text":"⪛⨧((⊖∈⊺⇮3267)⪘⫢⊺⇮2216⨼⩣⊺⇮3413)⨽∌(⊺⇮2861⊕∕⊺⇮3290∠⫱(⊺⇮1598∙⊟⊺⇮1114))=⊺⇮1401","reverse_text":"⊺⇮1401=⪛⨧((⊖∈⊺⇮3267)⪘⫢⊺⇮2216⨼⩣⊺⇮3413)⨽∌(⊺⇮2861⊕∕⊺⇮3290∠⫱(⊺⇮1598∙⊟⊺⇮1114))","cot":[{"info":"⊖∈⊺⇮3267=⊺⇮59746","layer":3},{"info":"⊺⇮2216⨼⩣⊺⇮3413=NaN","layer":3},{"info":"⊺⇮59746⪘⫢NaN=NaN","layer":2},{"info":"⊺⇮2861⊕∕⊺⇮3290=⊺⇮2861","layer":3},{"info":"⊺⇮1598∙⊟⊺⇮1114=⊺⇮30620","layer":3},{"info":"⊺⇮2861∠⫱⊺⇮30620=⊺⇮1234","layer":2},{"info":"NaN⨽∌⊺⇮1234=⊺⇮0","layer":1},{"info":"⪛⨧⊺⇮0=⊺⇮1401","layer":0}]}
{"id":966,"expression_no_base_symbol":"(((⪫⨮⊛$5071$)⪚⩙≫)⊅)⪔(⊑$5202$⫞⩸⩒$4325$)⩍⋽⫝̸(↩$1939$⨔≚≋$1816$)","expression":"(((⪫⨮⊛⊺⇮5071)⪚⩙≫)⊅)⪔(⊑⊺⇮5202⫞⩸⩒⊺⇮4325)⩍⋽⫝̸(↩⊺⇮1939⨔≚≋⊺⇮1816)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3145178,"operation_count":9,"complexity_ratio":349464.22222222225,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":5071,"base":10}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5202,"base":10},"right_expr":{"type":"numeric_atoms","value":4325,"base":10}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1939,"base":10},"right_expr":{"type":"numeric_atoms","value":1816,"base":10}}}}},"used_operators":["GjBEYRfMaF","7p6YLioM7f","4n53wtyJvv","w5FWba1tyO","BiWNJpBvwn","IkUmn0D7oy","XGcMNugi78","jLgFTUHLKL","Z57zeUYC9z"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Ph9nP6C5qx","xUOZtlo3hN","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⊺⇮450","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5071","layer":4},{"info":"compute unary expreesion, input=5071, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":1},{"info":"number node, value=5202","layer":4},{"info":"number node, value=4325","layer":4},{"info":"compute binary expreesion, left_input=5202, right_input=4325, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4325","layer":3},{"info":"compute unary expreesion, input=4325, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=1939","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=1816, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-76196","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-76196, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=75915","layer":1},{"info":"compute binary expreesion, left_input=16947, right_input=75915, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":10,"result_base":10,"text":"(((⪫⨮⊛⊺⇮5071)⪚⩙≫)⊅)⪔(⊑⊺⇮5202⫞⩸⩒⊺⇮4325)⩍⋽⫝̸(↩⊺⇮1939⨔≚≋⊺⇮1816)=⊺⇮450","reverse_text":"⊺⇮450=(((⪫⨮⊛⊺⇮5071)⪚⩙≫)⊅)⪔(⊑⊺⇮5202⫞⩸⩒⊺⇮4325)⩍⋽⫝̸(↩⊺⇮1939⨔≚≋⊺⇮1816)","cot":[{"info":"⪫⨮⊛⊺⇮5071=NaN","layer":3},{"info":"NaN⪚⩙≫=NaN","layer":2},{"info":"NaN⊅=⊺⇮16947","layer":1},{"info":"⊺⇮5202⫞⩸⩒⊺⇮4325=⊺⇮4325","layer":3},{"info":"⊑⊺⇮4325=⊺⇮192","layer":2},{"info":"⊺⇮1939⨔≚≋⊺⇮1816=⊺⇮9872","layer":3},{"info":"↩⊺⇮9872=⊺⇮-76196","layer":2},{"info":"⊺⇮192⩍⋽⫝̸⊺⇮-76196=⊺⇮75915","layer":1},{"info":"⊺⇮16947⪔⊺⇮75915=⊺⇮450","layer":0}]}
{"id":967,"expression_no_base_symbol":"(⪨⨬$1392$)⇂≾⫗($1923$⨚$1608$)⊋(($3025$⇀∌)≎⊠⪸($2636$⋭≵$2098$))∲⫓(($1856$⊭↱$1991$)≃(⋎⨆$2347$))≹⇙⪍((⩪∧⨌$1168$)⨚⇆($5674$⊋≦⊧$2109$))","expression":"(⪨⨬⊺⇮1392)⇂≾⫗(⊺⇮1923⨚⊺⇮1608)⊋((⊺⇮3025⇀∌)≎⊠⪸(⊺⇮2636⋭≵⊺⇮2098))∲⫓((⊺⇮1856⊭↱⊺⇮1991)≃(⋎⨆⊺⇮2347))≹⇙⪍((⩪∧⨌⊺⇮1168)⨚⇆(⊺⇮5674⊋≦⊧⊺⇮2109))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":141154,"operation_count":15,"complexity_ratio":9410.266666666666,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1392,"base":10}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1923,"base":10},"right_expr":{"type":"numeric_atoms","value":1608,"base":10}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":3025,"base":10}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2636,"base":10},"right_expr":{"type":"numeric_atoms","value":2098,"base":10}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1856,"base":10},"right_expr":{"type":"numeric_atoms","value":1991,"base":10}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2347,"base":10}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1168,"base":10}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5674,"base":10},"right_expr":{"type":"numeric_atoms","value":2109,"base":10}}}}},"used_operators":["i8ToyICDmI","W4tP9CfskL","aBQ6xLxuTc","5obUd6DV38","nREPSIbpBE","bJkvcejdHO","2k53nXOpI5","jBncVCNhdl","AHs5Up7iyr","YbVcJGFEVW","COABgblf1C","E64sFOc4tB","lwHaAYXP2r","6iOiAJX1F8","oRDoc9rAEX"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","T2fj7uvVaJ","nlCqmYiOvY","BjRHVeLaeN","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1392","layer":4},{"info":"compute unary expreesion, input=1392, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=1923","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=1608, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-1652","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=-1652, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"number node, value=3025","layer":4},{"info":"compute unary expreesion, input=3025, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"number node, value=2636","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=2098, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=67, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=28794","layer":2},{"info":"compute binary expreesion, left_input=-670, right_input=28794, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-inf","layer":1},{"info":"number node, value=1856","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=1991, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=275","layer":3},{"info":"number node, value=2347","layer":4},{"info":"compute unary expreesion, input=2347, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=275, right_input=0, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-80","layer":2},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=11680","layer":3},{"info":"number node, value=5674","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=5674, right_input=2109, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3978","layer":3},{"info":"compute binary expreesion, left_input=11680, right_input=-3978, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-80, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪨⨬⊺⇮1392)⇂≾⫗(⊺⇮1923⨚⊺⇮1608)⊋((⊺⇮3025⇀∌)≎⊠⪸(⊺⇮2636⋭≵⊺⇮2098))∲⫓((⊺⇮1856⊭↱⊺⇮1991)≃(⋎⨆⊺⇮2347))≹⇙⪍((⩪∧⨌⊺⇮1168)⨚⇆(⊺⇮5674⊋≦⊧⊺⇮2109))=NaN","reverse_text":"NaN=(⪨⨬⊺⇮1392)⇂≾⫗(⊺⇮1923⨚⊺⇮1608)⊋((⊺⇮3025⇀∌)≎⊠⪸(⊺⇮2636⋭≵⊺⇮2098))∲⫓((⊺⇮1856⊭↱⊺⇮1991)≃(⋎⨆⊺⇮2347))≹⇙⪍((⩪∧⨌⊺⇮1168)⨚⇆(⊺⇮5674⊋≦⊧⊺⇮2109))","cot":[{"info":"⪨⨬⊺⇮1392=⊺⇮-526","layer":3},{"info":"⊺⇮1923⨚⊺⇮1608=⊺⇮-1652","layer":3},{"info":"⊺⇮-526⇂≾⫗⊺⇮-1652=⊺⇮-670","layer":2},{"info":"⊺⇮3025⇀∌=⊺⇮113","layer":3},{"info":"⊺⇮2636⋭≵⊺⇮2098=⊺⇮67","layer":3},{"info":"⊺⇮113≎⊠⪸⊺⇮67=⊺⇮28794","layer":2},{"info":"⊺⇮-670⊋⊺⇮28794=-Inf","layer":1},{"info":"⊺⇮1856⊭↱⊺⇮1991=⊺⇮275","layer":3},{"info":"⋎⨆⊺⇮2347=⊺⇮0","layer":3},{"info":"⊺⇮275≃⊺⇮0=⊺⇮-80","layer":2},{"info":"⩪∧⨌⊺⇮1168=⊺⇮11680","layer":3},{"info":"⊺⇮5674⊋≦⊧⊺⇮2109=⊺⇮-3978","layer":3},{"info":"⊺⇮11680⨚⇆⊺⇮-3978=NaN","layer":2},{"info":"⊺⇮-80≹⇙⪍NaN=NaN","layer":1},{"info":"-Inf∲⫓NaN=NaN","layer":0}]}
{"id":968,"expression_no_base_symbol":"⊵⊁(((⊗$1129$)⪛⫼$1962$⫗⊷⫓$1453$)⇄(⩦⊞$2164$)⇂≾⫗(≸≮$1462$))","expression":"⊵⊁(((⊗⊺⇮1129)⪛⫼⊺⇮1962⫗⊷⫓⊺⇮1453)⇄(⩦⊞⊺⇮2164)⇂≾⫗(≸≮⊺⇮1462))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1138449,"operation_count":8,"complexity_ratio":142306.125,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1129,"base":10}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1962,"base":10},"right_expr":{"type":"numeric_atoms","value":1453,"base":10}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2164,"base":10}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1462,"base":10}}}}},"used_operators":["AvED76WdY7","3EYGwJThht","hyuBjUqXlG","RhiyfpczSx","zashukvMKz","aBQ6xLxuTc","u7fv1HBiaC","AljMvE3RRm"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2258","layer":3},{"info":"number node, value=1962","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=1453, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-2258, right_input=-134, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1657","layer":2},{"info":"number node, value=2164","layer":4},{"info":"compute unary expreesion, input=2164, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1891","layer":3},{"info":"number node, value=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1891, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1657, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊵⊁(((⊗⊺⇮1129)⪛⫼⊺⇮1962⫗⊷⫓⊺⇮1453)⇄(⩦⊞⊺⇮2164)⇂≾⫗(≸≮⊺⇮1462))=NaN","reverse_text":"NaN=⊵⊁(((⊗⊺⇮1129)⪛⫼⊺⇮1962⫗⊷⫓⊺⇮1453)⇄(⩦⊞⊺⇮2164)⇂≾⫗(≸≮⊺⇮1462))","cot":[{"info":"⊗⊺⇮1129=⊺⇮-2258","layer":3},{"info":"⊺⇮1962⫗⊷⫓⊺⇮1453=⊺⇮-134","layer":3},{"info":"⊺⇮-2258⪛⫼⊺⇮-134=⊺⇮-1657","layer":2},{"info":"⩦⊞⊺⇮2164=⊺⇮-1891","layer":3},{"info":"≸≮⊺⇮1462=NaN","layer":3},{"info":"⊺⇮-1891⇂≾⫗NaN=NaN","layer":2},{"info":"⊺⇮-1657⇄NaN=NaN","layer":1},{"info":"⊵⊁NaN=NaN","layer":0}]}
{"id":969,"expression_no_base_symbol":"⫓⪴((⋼∭⪍$3668$)⇴∐$1148$⩦$4219$⫸⇳(($1520$⩉⊫⨁)⊅))","expression":"⫓⪴((⋼∭⪍⊺⇮3668)⇴∐⊺⇮1148⩦⊺⇮4219⫸⇳((⊺⇮1520⩉⊫⨁)⊅))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":183,"operation_count":7,"complexity_ratio":26.142857142857142,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3668,"base":10}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1148,"base":10},"right_expr":{"type":"numeric_atoms","value":4219,"base":10}}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":1520,"base":10}}}}},"used_operators":["eLxqMNBOBk","gx7XJ7hdpj","HnzytWxmAO","DbCuESL50I","0kmYd0q39Y","7p6YLioM7f","7qqUquhhSb"],"dependent_operators":["9HNa5Wba9A","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","7j4O788W3g"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3668","layer":4},{"info":"compute unary expreesion, input=3668, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-12932","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=4219, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2296","layer":3},{"info":"compute binary expreesion, left_input=-12932, right_input=2296, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=1520","layer":4},{"info":"compute unary expreesion, input=1520, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=1520","layer":3},{"info":"compute unary expreesion, input=1520, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-174, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":0}],"base":10,"result_base":10,"text":"⫓⪴((⋼∭⪍⊺⇮3668)⇴∐⊺⇮1148⩦⊺⇮4219⫸⇳((⊺⇮1520⩉⊫⨁)⊅))=⊺⇮0","reverse_text":"⊺⇮0=⫓⪴((⋼∭⪍⊺⇮3668)⇴∐⊺⇮1148⩦⊺⇮4219⫸⇳((⊺⇮1520⩉⊫⨁)⊅))","cot":[{"info":"⋼∭⪍⊺⇮3668=⊺⇮-12932","layer":3},{"info":"⊺⇮1148⩦⊺⇮4219=⊺⇮2296","layer":3},{"info":"⊺⇮-12932⇴∐⊺⇮2296=⊺⇮-116","layer":2},{"info":"⊺⇮1520⩉⊫⨁=⊺⇮1520","layer":3},{"info":"⊺⇮1520⊅=⊺⇮-174","layer":2},{"info":"⊺⇮-116⫸⇳⊺⇮-174=⊺⇮0","layer":1},{"info":"⫓⪴⊺⇮0=⊺⇮0","layer":0}]}
{"id":970,"expression_no_base_symbol":"(($3240$⊢$1886$⩹$1192$∝$1146$)⩌⋺(($4326$⊉≛↸$2178$)⊋$3275$∌$1396$))⫽⇹≛","expression":"((⊺⇮3240⊢⊺⇮1886⩹⊺⇮1192∝⊺⇮1146)⩌⋺((⊺⇮4326⊉≛↸⊺⇮2178)⊋⊺⇮3275∌⊺⇮1396))⫽⇹≛","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":157,"operation_count":8,"complexity_ratio":19.625,"tree":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3240,"base":10},"right_expr":{"type":"numeric_atoms","value":1886,"base":10}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1192,"base":10},"right_expr":{"type":"numeric_atoms","value":1146,"base":10}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4326,"base":10},"right_expr":{"type":"numeric_atoms","value":2178,"base":10}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3275,"base":10},"right_expr":{"type":"numeric_atoms","value":1396,"base":10}}}}},"used_operators":["NNaDxxp6OQ","g7Hmc5v1ko","2Wsdkap16l","5twsqlHp2o","cTDWOvIxvz","W4tP9CfskL","DZ8iAZOCBD","8cLx32lpNA"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⊺⇮272","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3240","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=1886, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6724","layer":3},{"info":"number node, value=1192","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1146, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1197","layer":3},{"info":"compute binary expreesion, left_input=-6724, right_input=1197, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1195","layer":2},{"info":"number node, value=4326","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=4326, right_input=2178, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8652","layer":3},{"info":"number node, value=3275","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=1396, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1396","layer":3},{"info":"compute binary expreesion, left_input=8652, right_input=-1396, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-33374","layer":2},{"info":"compute binary expreesion, left_input=1195, right_input=-33374, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=32058","layer":1},{"info":"compute unary expreesion, input=32058, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3240⊢⊺⇮1886⩹⊺⇮1192∝⊺⇮1146)⩌⋺((⊺⇮4326⊉≛↸⊺⇮2178)⊋⊺⇮3275∌⊺⇮1396))⫽⇹≛=⊺⇮272","reverse_text":"⊺⇮272=((⊺⇮3240⊢⊺⇮1886⩹⊺⇮1192∝⊺⇮1146)⩌⋺((⊺⇮4326⊉≛↸⊺⇮2178)⊋⊺⇮3275∌⊺⇮1396))⫽⇹≛","cot":[{"info":"⊺⇮3240⊢⊺⇮1886=⊺⇮-6724","layer":3},{"info":"⊺⇮1192∝⊺⇮1146=⊺⇮1197","layer":3},{"info":"⊺⇮-6724⩹⊺⇮1197=⊺⇮1195","layer":2},{"info":"⊺⇮4326⊉≛↸⊺⇮2178=⊺⇮8652","layer":3},{"info":"⊺⇮3275∌⊺⇮1396=⊺⇮-1396","layer":3},{"info":"⊺⇮8652⊋⊺⇮-1396=⊺⇮-33374","layer":2},{"info":"⊺⇮1195⩌⋺⊺⇮-33374=⊺⇮32058","layer":1},{"info":"⊺⇮32058⫽⇹≛=⊺⇮272","layer":0}]}
{"id":971,"expression_no_base_symbol":"(⫟($6125$↓$1852$∽$3254$⋛$3471$))⫣⪄⊒((↥≼⋛$2114$)⊉↱≁($2133$≚⊃≕$4028$)⫘($1034$⊉≛↸$1000$⫌⩉⩟$1139$≎⊠⪸$1145$))","expression":"(⫟(⊺⇮6125↓⊺⇮1852∽⊺⇮3254⋛⊺⇮3471))⫣⪄⊒((↥≼⋛⊺⇮2114)⊉↱≁(⊺⇮2133≚⊃≕⊺⇮4028)⫘(⊺⇮1034⊉≛↸⊺⇮1000⫌⩉⩟⊺⇮1139≎⊠⪸⊺⇮1145))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2012078,"operation_count":12,"complexity_ratio":167673.16666666666,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6125,"base":10},"right_expr":{"type":"numeric_atoms","value":1852,"base":10}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3254,"base":10},"right_expr":{"type":"numeric_atoms","value":3471,"base":10}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2114,"base":10}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2133,"base":10},"right_expr":{"type":"numeric_atoms","value":4028,"base":10}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1034,"base":10},"right_expr":{"type":"numeric_atoms","value":1000,"base":10}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1139,"base":10},"right_expr":{"type":"numeric_atoms","value":1145,"base":10}}}}},"used_operators":["RabNbG55vr","z4E1FaHLuy","y4ImoPnbV5","Af076pWI7l","YbUVn0Rbpy","48vC8HMD2b","w2P8NbNXyL","x5lMkHmzsq","Bmrmz2XGnR","XIIwhv8d0m","DZ8iAZOCBD","bJkvcejdHO"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⊺⇮-1855266","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6125","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=6125, right_input=1852, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3254","layer":4},{"info":"number node, value=3471","layer":4},{"info":"compute binary expreesion, left_input=3254, right_input=3471, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-102906","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-102906, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=309566","layer":2},{"info":"compute unary expreesion, input=309566, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-927791","layer":1},{"info":"number node, value=2114","layer":4},{"info":"compute unary expreesion, input=2114, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=2133","layer":4},{"info":"number node, value=4028","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=4028, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=67, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-1584","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=1000, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2068","layer":3},{"info":"number node, value=1139","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=1145, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=294528","layer":3},{"info":"compute binary expreesion, left_input=2068, right_input=294528, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=-1584, right_input=-50, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6975179","layer":1},{"info":"compute binary expreesion, left_input=-927791, right_input=6975179, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1855266","layer":0}],"base":10,"result_base":10,"text":"(⫟(⊺⇮6125↓⊺⇮1852∽⊺⇮3254⋛⊺⇮3471))⫣⪄⊒((↥≼⋛⊺⇮2114)⊉↱≁(⊺⇮2133≚⊃≕⊺⇮4028)⫘(⊺⇮1034⊉≛↸⊺⇮1000⫌⩉⩟⊺⇮1139≎⊠⪸⊺⇮1145))=⊺⇮-1855266","reverse_text":"⊺⇮-1855266=(⫟(⊺⇮6125↓⊺⇮1852∽⊺⇮3254⋛⊺⇮3471))⫣⪄⊒((↥≼⋛⊺⇮2114)⊉↱≁(⊺⇮2133≚⊃≕⊺⇮4028)⫘(⊺⇮1034⊉≛↸⊺⇮1000⫌⩉⩟⊺⇮1139≎⊠⪸⊺⇮1145))","cot":[{"info":"⊺⇮6125↓⊺⇮1852=⊺⇮-134","layer":3},{"info":"⊺⇮3254⋛⊺⇮3471=⊺⇮-102906","layer":3},{"info":"⊺⇮-134∽⊺⇮-102906=⊺⇮309566","layer":2},{"info":"⫟⊺⇮309566=⊺⇮-927791","layer":1},{"info":"↥≼⋛⊺⇮2114=⊺⇮-113","layer":3},{"info":"⊺⇮2133≚⊃≕⊺⇮4028=⊺⇮67","layer":3},{"info":"⊺⇮-113⊉↱≁⊺⇮67=⊺⇮-1584","layer":2},{"info":"⊺⇮1034⊉≛↸⊺⇮1000=⊺⇮2068","layer":3},{"info":"⊺⇮1139≎⊠⪸⊺⇮1145=⊺⇮294528","layer":3},{"info":"⊺⇮2068⫌⩉⩟⊺⇮294528=⊺⇮-50","layer":2},{"info":"⊺⇮-1584⫘⊺⇮-50=⊺⇮6975179","layer":1},{"info":"⊺⇮-927791⫣⪄⊒⊺⇮6975179=⊺⇮-1855266","layer":0}]}
{"id":972,"expression_no_base_symbol":"$8212$⫗⊷⫓$1358$⇣⩺⋵($1451$⪨⊡$1754$)⩵∡($1783$∳⫺$1235$⪉⨛$6992$≨$8320$)⋻⩜⩜(⨝⨆$1532$)⋹⋡⊁($4760$⇽⩪)⩼⇪↪(⋎⨆$2404$⪶≀⋏$2431$)","expression":"⊺⇮8212⫗⊷⫓⊺⇮1358⇣⩺⋵(⊺⇮1451⪨⊡⊺⇮1754)⩵∡(⊺⇮1783∳⫺⊺⇮1235⪉⨛⊺⇮6992≨⊺⇮8320)⋻⩜⩜(⨝⨆⊺⇮1532)⋹⋡⊁(⊺⇮4760⇽⩪)⩼⇪↪(⋎⨆⊺⇮2404⪶≀⋏⊺⇮2431)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1117518,"operation_count":14,"complexity_ratio":79822.71428571429,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":8212,"base":10},"right_expr":{"type":"numeric_atoms","value":1358,"base":10}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1451,"base":10},"right_expr":{"type":"numeric_atoms","value":1754,"base":10}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1783,"base":10},"right_expr":{"type":"numeric_atoms","value":1235,"base":10}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6992,"base":10},"right_expr":{"type":"numeric_atoms","value":8320,"base":10}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1532,"base":10}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":4760,"base":10}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2404,"base":10},"right_expr":{"type":"numeric_atoms","value":2431,"base":10}}}}},"used_operators":["oDCm7WA9JY","Y7wcNGrDQJ","F4yD0voBRQ","zashukvMKz","kuIXHzHcAH","EWw2JM7wp4","AzXXKTstlj","0KMCeP1Jsh","ocnLzx9CaJ","As8RqfVLgs","bQ67fsrMVf","FonBHBYJbU","E64sFOc4tB","zR4jO40bMj"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","tifHPKVTfV","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⊺⇮406136","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=8212","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=8212, right_input=1358, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1451","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1754, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-474","layer":2},{"info":"number node, value=1783","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=1235, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=6992","layer":4},{"info":"number node, value=8320","layer":4},{"info":"compute binary expreesion, left_input=6992, right_input=8320, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-67444","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-67444, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=201767","layer":2},{"info":"compute binary expreesion, left_input=-474, right_input=201767, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=203068","layer":1},{"info":"number node, value=1532","layer":4},{"info":"compute unary expreesion, input=1532, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1323","layer":3},{"info":"number node, value=4760","layer":4},{"info":"compute unary expreesion, input=4760, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=10042","layer":3},{"info":"compute binary expreesion, left_input=1323, right_input=10042, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=10792","layer":2},{"info":"number node, value=2404","layer":4},{"info":"number node, value=2431","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=2431, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12306","layer":3},{"info":"compute unary expreesion, input=-12306, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=10792, right_input=8320752, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-58224463","layer":1},{"info":"compute binary expreesion, left_input=203068, right_input=-58224463, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=406136","layer":0}],"base":10,"result_base":10,"text":"⊺⇮8212⫗⊷⫓⊺⇮1358⇣⩺⋵(⊺⇮1451⪨⊡⊺⇮1754)⩵∡(⊺⇮1783∳⫺⊺⇮1235⪉⨛⊺⇮6992≨⊺⇮8320)⋻⩜⩜(⨝⨆⊺⇮1532)⋹⋡⊁(⊺⇮4760⇽⩪)⩼⇪↪(⋎⨆⊺⇮2404⪶≀⋏⊺⇮2431)=⊺⇮406136","reverse_text":"⊺⇮406136=⊺⇮8212⫗⊷⫓⊺⇮1358⇣⩺⋵(⊺⇮1451⪨⊡⊺⇮1754)⩵∡(⊺⇮1783∳⫺⊺⇮1235⪉⨛⊺⇮6992≨⊺⇮8320)⋻⩜⩜(⨝⨆⊺⇮1532)⋹⋡⊁(⊺⇮4760⇽⩪)⩼⇪↪(⋎⨆⊺⇮2404⪶≀⋏⊺⇮2431)","cot":[{"info":"⊺⇮8212⫗⊷⫓⊺⇮1358=⊺⇮-134","layer":3},{"info":"⊺⇮1451⪨⊡⊺⇮1754=⊺⇮0","layer":3},{"info":"⊺⇮-134⇣⩺⋵⊺⇮0=⊺⇮-474","layer":2},{"info":"⊺⇮1783∳⫺⊺⇮1235=⊺⇮-260","layer":3},{"info":"⊺⇮6992≨⊺⇮8320=⊺⇮-67444","layer":3},{"info":"⊺⇮-260⪉⨛⊺⇮-67444=⊺⇮201767","layer":2},{"info":"⊺⇮-474⩵∡⊺⇮201767=⊺⇮203068","layer":1},{"info":"⨝⨆⊺⇮1532=⊺⇮1323","layer":3},{"info":"⊺⇮4760⇽⩪=⊺⇮10042","layer":3},{"info":"⊺⇮1323⋹⋡⊁⊺⇮10042=⊺⇮10792","layer":2},{"info":"⊺⇮2404⪶≀⋏⊺⇮2431=⊺⇮-12306","layer":3},{"info":"⋎⨆⊺⇮-12306=⊺⇮8320752","layer":2},{"info":"⊺⇮10792⩼⇪↪⊺⇮8320752=⊺⇮-58224463","layer":1},{"info":"⊺⇮203068⋻⩜⩜⊺⇮-58224463=⊺⇮406136","layer":0}]}
{"id":973,"expression_no_base_symbol":"(($3482$⪁$1560$)⪇≇⋚$3012$⨿$1934$↙($1428$↞⋁$2222$⊭↱$6634$⨻⩈⩔$1035$))⪟⇏((⩒∊$1318$)↳∿⪆($3519$⊪)≒∊$9322$⇤$4409$⩼⇪↪($1486$⩵∡$1833$))","expression":"((⊺⇮3482⪁⊺⇮1560)⪇≇⋚⊺⇮3012⨿⊺⇮1934↙(⊺⇮1428↞⋁⊺⇮2222⊭↱⊺⇮6634⨻⩈⩔⊺⇮1035))⪟⇏((⩒∊⊺⇮1318)↳∿⪆(⊺⇮3519⊪)≒∊⊺⇮9322⇤⊺⇮4409⩼⇪↪(⊺⇮1486⩵∡⊺⇮1833))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":22174904,"operation_count":15,"complexity_ratio":1478326.9333333333,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3482,"base":10},"right_expr":{"type":"numeric_atoms","value":1560,"base":10}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3012,"base":10},"right_expr":{"type":"numeric_atoms","value":1934,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1428,"base":10},"right_expr":{"type":"numeric_atoms","value":2222,"base":10}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6634,"base":10},"right_expr":{"type":"numeric_atoms","value":1035,"base":10}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1318,"base":10}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3519,"base":10}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":9322,"base":10},"right_expr":{"type":"numeric_atoms","value":4409,"base":10}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1486,"base":10},"right_expr":{"type":"numeric_atoms","value":1833,"base":10}}}}},"used_operators":["GODebY97qR","yyfyN0ffXY","3sJ7IOPOlU","I7sXao9hZE","abYXlopdE0","COABgblf1C","RqrPlJkxDo","nEsXyWgiOK","5KTvxBwnZo","Cw4SuJJGHO","qazvmhNBbN","zVYPLywUTj","ocnLzx9CaJ","YSKBFp38Pu","Y7wcNGrDQJ"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3482","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=3482, right_input=1560, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=3012","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=1934, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"number node, value=1428","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=2222, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=6634","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=6634, right_input=1035, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=44671","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=44671, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1318","layer":4},{"info":"compute unary expreesion, input=1318, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1879","layer":3},{"info":"number node, value=3519","layer":4},{"info":"compute unary expreesion, input=3519, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1879, right_input=0, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=9322","layer":4},{"info":"number node, value=4409","layer":4},{"info":"compute binary expreesion, left_input=9322, right_input=4409, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-65807","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=1833, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1260","layer":3},{"info":"compute binary expreesion, left_input=-65807, right_input=-1260, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-123577","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-123577, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3482⪁⊺⇮1560)⪇≇⋚⊺⇮3012⨿⊺⇮1934↙(⊺⇮1428↞⋁⊺⇮2222⊭↱⊺⇮6634⨻⩈⩔⊺⇮1035))⪟⇏((⩒∊⊺⇮1318)↳∿⪆(⊺⇮3519⊪)≒∊⊺⇮9322⇤⊺⇮4409⩼⇪↪(⊺⇮1486⩵∡⊺⇮1833))=NaN","reverse_text":"NaN=((⊺⇮3482⪁⊺⇮1560)⪇≇⋚⊺⇮3012⨿⊺⇮1934↙(⊺⇮1428↞⋁⊺⇮2222⊭↱⊺⇮6634⨻⩈⩔⊺⇮1035))⪟⇏((⩒∊⊺⇮1318)↳∿⪆(⊺⇮3519⊪)≒∊⊺⇮9322⇤⊺⇮4409⩼⇪↪(⊺⇮1486⩵∡⊺⇮1833))","cot":[{"info":"⊺⇮3482⪁⊺⇮1560=NaN","layer":3},{"info":"⊺⇮3012⨿⊺⇮1934=⊺⇮-319","layer":3},{"info":"NaN⪇≇⋚⊺⇮-319=NaN","layer":2},{"info":"⊺⇮1428↞⋁⊺⇮2222=NaN","layer":3},{"info":"⊺⇮6634⨻⩈⩔⊺⇮1035=⊺⇮44671","layer":3},{"info":"NaN⊭↱⊺⇮44671=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⩒∊⊺⇮1318=⊺⇮1879","layer":3},{"info":"⊺⇮3519⊪=⊺⇮0","layer":3},{"info":"⊺⇮1879↳∿⪆⊺⇮0=NaN","layer":2},{"info":"⊺⇮9322⇤⊺⇮4409=⊺⇮-65807","layer":3},{"info":"⊺⇮1486⩵∡⊺⇮1833=⊺⇮-1260","layer":3},{"info":"⊺⇮-65807⩼⇪↪⊺⇮-1260=⊺⇮-123577","layer":2},{"info":"NaN≒∊⊺⇮-123577=NaN","layer":1},{"info":"NaN⪟⇏NaN=NaN","layer":0}]}
{"id":974,"expression_no_base_symbol":"(⪹(⇖⫷⫕$2498$∌$4245$))∇⊂⋱(($1088$⪶≀⋏$4376$⫔⩽⩺(⪡⇡≛$8078$))⋣⋖(⋗⩬⋾$1556$⪶≀⋏$1192$))","expression":"(⪹(⇖⫷⫕⊺⇮2498∌⊺⇮4245))∇⊂⋱((⊺⇮1088⪶≀⋏⊺⇮4376⫔⩽⩺(⪡⇡≛⊺⇮8078))⋣⋖(⋗⩬⋾⊺⇮1556⪶≀⋏⊺⇮1192))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":870,"operation_count":10,"complexity_ratio":87.0,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2498,"base":10},"right_expr":{"type":"numeric_atoms","value":4245,"base":10}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1088,"base":10},"right_expr":{"type":"numeric_atoms","value":4376,"base":10}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":8078,"base":10}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1556,"base":10},"right_expr":{"type":"numeric_atoms","value":1192,"base":10}}}}},"used_operators":["nhYeJWJD5X","USyYr0JgAa","UHmRx3INFg","8cLx32lpNA","J0M6qkBnIM","i9eR4S00cU","zR4jO40bMj","qL4PrbW1Dq","DpFCA1CohY"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","tifHPKVTfV","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2498","layer":4},{"info":"number node, value=4245","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=4245, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4245","layer":3},{"info":"compute unary expreesion, input=-4245, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2642","layer":1},{"info":"number node, value=1088","layer":4},{"info":"number node, value=4376","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=4376, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12248","layer":3},{"info":"number node, value=8078","layer":4},{"info":"compute unary expreesion, input=8078, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-8078","layer":3},{"info":"compute binary expreesion, left_input=-12248, right_input=-8078, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1556","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=1192, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7284","layer":3},{"info":"compute unary expreesion, input=-7284, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=21852","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21852, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2642, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⪹(⇖⫷⫕⊺⇮2498∌⊺⇮4245))∇⊂⋱((⊺⇮1088⪶≀⋏⊺⇮4376⫔⩽⩺(⪡⇡≛⊺⇮8078))⋣⋖(⋗⩬⋾⊺⇮1556⪶≀⋏⊺⇮1192))=NaN","reverse_text":"NaN=(⪹(⇖⫷⫕⊺⇮2498∌⊺⇮4245))∇⊂⋱((⊺⇮1088⪶≀⋏⊺⇮4376⫔⩽⩺(⪡⇡≛⊺⇮8078))⋣⋖(⋗⩬⋾⊺⇮1556⪶≀⋏⊺⇮1192))","cot":[{"info":"⊺⇮2498∌⊺⇮4245=⊺⇮-4245","layer":3},{"info":"⇖⫷⫕⊺⇮-4245=⊺⇮2822","layer":2},{"info":"⪹⊺⇮2822=⊺⇮-2642","layer":1},{"info":"⊺⇮1088⪶≀⋏⊺⇮4376=⊺⇮-12248","layer":3},{"info":"⪡⇡≛⊺⇮8078=⊺⇮-8078","layer":3},{"info":"⊺⇮-12248⫔⩽⩺⊺⇮-8078=NaN","layer":2},{"info":"⊺⇮1556⪶≀⋏⊺⇮1192=⊺⇮-7284","layer":3},{"info":"⋗⩬⋾⊺⇮-7284=⊺⇮21852","layer":2},{"info":"NaN⋣⋖⊺⇮21852=NaN","layer":1},{"info":"⊺⇮-2642∇⊂⋱NaN=NaN","layer":0}]}
{"id":975,"expression_no_base_symbol":"(↯⪼$5632$)≎⊠⪸(⇵⪽$2233$)≬⇓($1156$≑≱⪘)≳⇉$1608$⨚$1879$≀⩗∶($1001$⨑≵⋬$1032$)⊬⨰$2900$⫗⊷⫓$1450$⇍⊗(⊀$3118$)⇍⊗($1379$⇴$4724$)","expression":"(↯⪼⊺⇮5632)≎⊠⪸(⇵⪽⊺⇮2233)≬⇓(⊺⇮1156≑≱⪘)≳⇉⊺⇮1608⨚⊺⇮1879≀⩗∶(⊺⇮1001⨑≵⋬⊺⇮1032)⊬⨰⊺⇮2900⫗⊷⫓⊺⇮1450⇍⊗(⊀⊺⇮3118)⇍⊗(⊺⇮1379⇴⊺⇮4724)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":157139952,"operation_count":15,"complexity_ratio":10475996.8,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5632,"base":10}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2233,"base":10}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1156,"base":10}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1608,"base":10},"right_expr":{"type":"numeric_atoms","value":1879,"base":10}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1001,"base":10},"right_expr":{"type":"numeric_atoms","value":1032,"base":10}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2900,"base":10},"right_expr":{"type":"numeric_atoms","value":1450,"base":10}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3118,"base":10}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1379,"base":10},"right_expr":{"type":"numeric_atoms","value":4724,"base":10}}}}},"used_operators":["8INZBEW696","jWTQ2TZYIH","bJkvcejdHO","8jW3W4yZS5","ZGCBLdVRRX","V0kx6qeWkN","tGSeddj7UK","nREPSIbpBE","5uvYHDjeKN","s3Fd5m9Dh2","XnXgA4xnOs","zashukvMKz","oPMjh9089D","4JB6nKBMSY"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","U7g4x0WXJJ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","BjRHVeLaeN","12rbrZMWeM","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5632","layer":4},{"info":"compute unary expreesion, input=5632, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=2233","layer":4},{"info":"compute unary expreesion, input=2233, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=26421","layer":3},{"info":"number node, value=1608","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=1879, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3366","layer":3},{"info":"compute binary expreesion, left_input=26421, right_input=-3366, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":1},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1032, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-840","layer":3},{"info":"number node, value=2900","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=2900, right_input=1450, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-840, right_input=-134, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-2216","layer":2},{"info":"number node, value=3118","layer":4},{"info":"compute unary expreesion, input=3118, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=12210","layer":3},{"info":"number node, value=1379","layer":4},{"info":"number node, value=4724","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=4724, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=17336","layer":3},{"info":"compute binary expreesion, left_input=12210, right_input=17336, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=-2216, right_input=-244, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-244, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(↯⪼⊺⇮5632)≎⊠⪸(⇵⪽⊺⇮2233)≬⇓(⊺⇮1156≑≱⪘)≳⇉⊺⇮1608⨚⊺⇮1879≀⩗∶(⊺⇮1001⨑≵⋬⊺⇮1032)⊬⨰⊺⇮2900⫗⊷⫓⊺⇮1450⇍⊗(⊀⊺⇮3118)⇍⊗(⊺⇮1379⇴⊺⇮4724)=NaN","reverse_text":"NaN=(↯⪼⊺⇮5632)≎⊠⪸(⇵⪽⊺⇮2233)≬⇓(⊺⇮1156≑≱⪘)≳⇉⊺⇮1608⨚⊺⇮1879≀⩗∶(⊺⇮1001⨑≵⋬⊺⇮1032)⊬⨰⊺⇮2900⫗⊷⫓⊺⇮1450⇍⊗(⊀⊺⇮3118)⇍⊗(⊺⇮1379⇴⊺⇮4724)","cot":[{"info":"↯⪼⊺⇮5632=⊺⇮-21","layer":3},{"info":"⇵⪽⊺⇮2233=NaN","layer":3},{"info":"⊺⇮-21≎⊠⪸NaN=⊺⇮67","layer":2},{"info":"⊺⇮1156≑≱⪘=⊺⇮26421","layer":3},{"info":"⊺⇮1608⨚⊺⇮1879=⊺⇮-3366","layer":3},{"info":"⊺⇮26421≳⇉⊺⇮-3366=NaN","layer":2},{"info":"⊺⇮67≬⇓NaN=⊺⇮0","layer":1},{"info":"⊺⇮1001⨑≵⋬⊺⇮1032=⊺⇮-840","layer":3},{"info":"⊺⇮2900⫗⊷⫓⊺⇮1450=⊺⇮-134","layer":3},{"info":"⊺⇮-840⊬⨰⊺⇮-134=⊺⇮-2216","layer":2},{"info":"⊀⊺⇮3118=⊺⇮12210","layer":3},{"info":"⊺⇮1379⇴⊺⇮4724=⊺⇮17336","layer":3},{"info":"⊺⇮12210⇍⊗⊺⇮17336=⊺⇮-244","layer":2},{"info":"⊺⇮-2216⇍⊗⊺⇮-244=⊺⇮-244","layer":1},{"info":"⊺⇮0≀⩗∶⊺⇮-244=NaN","layer":0}]}
{"id":976,"expression_no_base_symbol":"($1555$≥⨤⩑$1219$⫔⩽⩺$6785$∊∟⩊$1340$)⩁⩘(⨞⊢$3857$≀⫉$3071$)⊝⪿⪼($1243$⨥⫆$1072$⨐⩸⫘$2952$⪡$1057$)⫘((⨆≐≲$2747$)⩒⫫$4560$⋥⋵⩄$1145$)","expression":"(⊺⇮1555≥⨤⩑⊺⇮1219⫔⩽⩺⊺⇮6785∊∟⩊⊺⇮1340)⩁⩘(⨞⊢⊺⇮3857≀⫉⊺⇮3071)⊝⪿⪼(⊺⇮1243⨥⫆⊺⇮1072⨐⩸⫘⊺⇮2952⪡⊺⇮1057)⫘((⨆≐≲⊺⇮2747)⩒⫫⊺⇮4560⋥⋵⩄⊺⇮1145)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12821,"operation_count":14,"complexity_ratio":915.7857142857143,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1555,"base":10},"right_expr":{"type":"numeric_atoms","value":1219,"base":10}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6785,"base":10},"right_expr":{"type":"numeric_atoms","value":1340,"base":10}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3857,"base":10},"right_expr":{"type":"numeric_atoms","value":3071,"base":10}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1243,"base":10},"right_expr":{"type":"numeric_atoms","value":1072,"base":10}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2952,"base":10},"right_expr":{"type":"numeric_atoms","value":1057,"base":10}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2747,"base":10}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4560,"base":10},"right_expr":{"type":"numeric_atoms","value":1145,"base":10}}}}},"used_operators":["3Oe9XWJUTD","gub5Cegaqo","i9eR4S00cU","gJLn6v0xnP","ddLRYrp01A","xUOZtlo3hN","oZj3VtZNQx","48vC8HMD2b","fu6greOZ01","yXekIHxTD4","oraRL2iQuh","KFSx94NKJn","Bi9z9uYZqW","7t3wd0Fuz7"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","Tw270M8GLb","fu6greOZ01","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","3ViojmjbAp","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=1219, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=6785","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=6785, right_input=1340, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1340","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1340, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=3857","layer":4},{"info":"number node, value=3071","layer":4},{"info":"compute binary expreesion, left_input=3857, right_input=3071, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2996","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2996, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=1243","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=1072, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2020","layer":3},{"info":"number node, value=2952","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=1057, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=2020, right_input=107, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-110","layer":2},{"info":"number node, value=2747","layer":4},{"info":"compute unary expreesion, input=2747, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=29729688","layer":3},{"info":"number node, value=4560","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=4560, right_input=1145, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=29729688, right_input=113, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=29729386","layer":2},{"info":"compute binary expreesion, left_input=-110, right_input=29729386, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=474839","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=474839, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1555≥⨤⩑⊺⇮1219⫔⩽⩺⊺⇮6785∊∟⩊⊺⇮1340)⩁⩘(⨞⊢⊺⇮3857≀⫉⊺⇮3071)⊝⪿⪼(⊺⇮1243⨥⫆⊺⇮1072⨐⩸⫘⊺⇮2952⪡⊺⇮1057)⫘((⨆≐≲⊺⇮2747)⩒⫫⊺⇮4560⋥⋵⩄⊺⇮1145)=NaN","reverse_text":"NaN=(⊺⇮1555≥⨤⩑⊺⇮1219⫔⩽⩺⊺⇮6785∊∟⩊⊺⇮1340)⩁⩘(⨞⊢⊺⇮3857≀⫉⊺⇮3071)⊝⪿⪼(⊺⇮1243⨥⫆⊺⇮1072⨐⩸⫘⊺⇮2952⪡⊺⇮1057)⫘((⨆≐≲⊺⇮2747)⩒⫫⊺⇮4560⋥⋵⩄⊺⇮1145)","cot":[{"info":"⊺⇮1555≥⨤⩑⊺⇮1219=⊺⇮1234","layer":3},{"info":"⊺⇮6785∊∟⩊⊺⇮1340=⊺⇮1340","layer":3},{"info":"⊺⇮1234⫔⩽⩺⊺⇮1340=NaN","layer":2},{"info":"⊺⇮3857≀⫉⊺⇮3071=⊺⇮2822","layer":3},{"info":"⨞⊢⊺⇮2822=⊺⇮-2996","layer":2},{"info":"NaN⩁⩘⊺⇮-2996=NaN","layer":1},{"info":"⊺⇮1243⨥⫆⊺⇮1072=⊺⇮2020","layer":3},{"info":"⊺⇮2952⪡⊺⇮1057=⊺⇮107","layer":3},{"info":"⊺⇮2020⨐⩸⫘⊺⇮107=⊺⇮-110","layer":2},{"info":"⨆≐≲⊺⇮2747=⊺⇮29729688","layer":3},{"info":"⊺⇮4560⋥⋵⩄⊺⇮1145=⊺⇮113","layer":3},{"info":"⊺⇮29729688⩒⫫⊺⇮113=⊺⇮29729386","layer":2},{"info":"⊺⇮-110⫘⊺⇮29729386=⊺⇮474839","layer":1},{"info":"NaN⊝⪿⪼⊺⇮474839=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"(($2395$⊋≦⊧$1931$)⊴($2085$⊨$1514$)⨰(($6139$≦≮≮)⊭↱($1576$⩱)))⫉⨲⊜($3570$⫗⊷⫓$1282$≒∊$2246$≹⇙⪍$3002$/($3595$⨻⩈⩔$3749$)∊∟⩊($3580$⊠≄⫣))","expression":"((⊺⇮2395⊋≦⊧⊺⇮1931)⊴(⊺⇮2085⊨⊺⇮1514)⨰((⊺⇮6139≦≮≮)⊭↱(⊺⇮1576⩱)))⫉⨲⊜(⊺⇮3570⫗⊷⫓⊺⇮1282≒∊⊺⇮2246≹⇙⪍⊺⇮3002/(⊺⇮3595⨻⩈⩔⊺⇮3749)∊∟⩊(⊺⇮3580⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1008527,"operation_count":15,"complexity_ratio":67235.13333333333,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2395,"base":10},"right_expr":{"type":"numeric_atoms","value":1931,"base":10}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2085,"base":10},"right_expr":{"type":"numeric_atoms","value":1514,"base":10}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":6139,"base":10}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1576,"base":10}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3570,"base":10},"right_expr":{"type":"numeric_atoms","value":1282,"base":10}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2246,"base":10},"right_expr":{"type":"numeric_atoms","value":3002,"base":10}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3595,"base":10},"right_expr":{"type":"numeric_atoms","value":3749,"base":10}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3580,"base":10}}}}},"used_operators":["WhqkvtTD3t","eewbuw0ToL","Nsiff2A1zJ","oRDoc9rAEX","vg4gO5BX6G","COABgblf1C","D4vGDi5EA2","uyq1hVkAcj","XhwjNDsVaA","5KTvxBwnZo","zashukvMKz","AHs5Up7iyr","ddLRYrp01A","nEsXyWgiOK","DIvbN7qnHd"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","dWAJyo7jo9","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2395","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=1931, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3622","layer":3},{"info":"number node, value=2085","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=1514, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9371","layer":3},{"info":"compute binary expreesion, left_input=-3622, right_input=9371, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6139","layer":4},{"info":"compute unary expreesion, input=6139, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18417","layer":3},{"info":"number node, value=1576","layer":4},{"info":"compute unary expreesion, input=1576, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-9706","layer":3},{"info":"compute binary expreesion, left_input=-18417, right_input=-9706, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=17427","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17427, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3570","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=3570, right_input=1282, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2246","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=3002, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"number node, value=3595","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=3595, right_input=3749, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=20359","layer":3},{"info":"number node, value=3580","layer":4},{"info":"compute unary expreesion, input=3580, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=20359, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=10","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮2395⊋≦⊧⊺⇮1931)⊴(⊺⇮2085⊨⊺⇮1514)⨰((⊺⇮6139≦≮≮)⊭↱(⊺⇮1576⩱)))⫉⨲⊜(⊺⇮3570⫗⊷⫓⊺⇮1282≒∊⊺⇮2246≹⇙⪍⊺⇮3002/(⊺⇮3595⨻⩈⩔⊺⇮3749)∊∟⩊(⊺⇮3580⊠≄⫣))=NaN","reverse_text":"NaN=((⊺⇮2395⊋≦⊧⊺⇮1931)⊴(⊺⇮2085⊨⊺⇮1514)⨰((⊺⇮6139≦≮≮)⊭↱(⊺⇮1576⩱)))⫉⨲⊜(⊺⇮3570⫗⊷⫓⊺⇮1282≒∊⊺⇮2246≹⇙⪍⊺⇮3002/(⊺⇮3595⨻⩈⩔⊺⇮3749)∊∟⩊(⊺⇮3580⊠≄⫣))","cot":[{"info":"⊺⇮2395⊋≦⊧⊺⇮1931=⊺⇮-3622","layer":3},{"info":"⊺⇮2085⊨⊺⇮1514=⊺⇮9371","layer":3},{"info":"⊺⇮-3622⊴⊺⇮9371=NaN","layer":2},{"info":"⊺⇮6139≦≮≮=⊺⇮-18417","layer":3},{"info":"⊺⇮1576⩱=⊺⇮-9706","layer":3},{"info":"⊺⇮-18417⊭↱⊺⇮-9706=⊺⇮17427","layer":2},{"info":"NaN⨰⊺⇮17427=NaN","layer":1},{"info":"⊺⇮3570⫗⊷⫓⊺⇮1282=⊺⇮-134","layer":3},{"info":"⊺⇮2246≹⇙⪍⊺⇮3002=NaN","layer":3},{"info":"⊺⇮-134≒∊NaN=NaN","layer":2},{"info":"⊺⇮3595⨻⩈⩔⊺⇮3749=⊺⇮20359","layer":3},{"info":"⊺⇮3580⊠≄⫣=⊺⇮0","layer":3},{"info":"⊺⇮20359∊∟⩊⊺⇮0=⊺⇮10","layer":2},{"info":"NaN/⊺⇮10=NaN","layer":1},{"info":"NaN⫉⨲⊜NaN=NaN","layer":0}]}
{"id":978,"expression_no_base_symbol":"(($6630$⨿$1041$)≌($2949$⊟⇱)∲⫓$5498$⨎$1415$⊍⩺⋍$7049$⊝⪿⪼$3541$)⋭≵($1745$⫒⫫$1396$⨭⪣(⪲⇎$1083$)⨑≵⋬$1440$⊲⩕⊾$3906$∙⊟($4289$⫳≱↱$1237$))","expression":"((⊺⇮6630⨿⊺⇮1041)≌(⊺⇮2949⊟⇱)∲⫓⊺⇮5498⨎⊺⇮1415⊍⩺⋍⊺⇮7049⊝⪿⪼⊺⇮3541)⋭≵(⊺⇮1745⫒⫫⊺⇮1396⨭⪣(⪲⇎⊺⇮1083)⨑≵⋬⊺⇮1440⊲⩕⊾⊺⇮3906∙⊟(⊺⇮4289⫳≱↱⊺⇮1237))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":66034,"operation_count":15,"complexity_ratio":4402.266666666666,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":6630,"base":10},"right_expr":{"type":"numeric_atoms","value":1041,"base":10}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":2949,"base":10}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5498,"base":10},"right_expr":{"type":"numeric_atoms","value":1415,"base":10}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":7049,"base":10},"right_expr":{"type":"numeric_atoms","value":3541,"base":10}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1745,"base":10},"right_expr":{"type":"numeric_atoms","value":1396,"base":10}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1083,"base":10}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1440,"base":10},"right_expr":{"type":"numeric_atoms","value":3906,"base":10}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4289,"base":10},"right_expr":{"type":"numeric_atoms","value":1237,"base":10}}}}},"used_operators":["jBncVCNhdl","i8ToyICDmI","lyWz822IDG","abYXlopdE0","03sUfWo75k","OXDGMFPWZM","rJVOvQCfKK","3Oe9XWJUTD","XnXgA4xnOs","kn8WO9XteQ","6Ko8hGgeMq","XPYlsWDdGa","SxTAKzQCrw","DmTXOeWf9t","ZvLB05nZmT"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","IWmyXbctLI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=6630","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=6630, right_input=1041, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=2949","layer":4},{"info":"compute unary expreesion, input=2949, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=6214","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=6214, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=5498","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=5498, right_input=1415, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1415","layer":3},{"info":"number node, value=7049","layer":4},{"info":"number node, value=3541","layer":4},{"info":"compute binary expreesion, left_input=7049, right_input=3541, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=94399","layer":3},{"info":"compute binary expreesion, left_input=1415, right_input=94399, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=1745","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1396, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2166","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2166, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":2},{"info":"number node, value=1440","layer":4},{"info":"number node, value=3906","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=3906, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-58730","layer":3},{"info":"number node, value=4289","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=4289, right_input=1237, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-58730, right_input=-204, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=779234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=779234, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮6630⨿⊺⇮1041)≌(⊺⇮2949⊟⇱)∲⫓⊺⇮5498⨎⊺⇮1415⊍⩺⋍⊺⇮7049⊝⪿⪼⊺⇮3541)⋭≵(⊺⇮1745⫒⫫⊺⇮1396⨭⪣(⪲⇎⊺⇮1083)⨑≵⋬⊺⇮1440⊲⩕⊾⊺⇮3906∙⊟(⊺⇮4289⫳≱↱⊺⇮1237))=⊺⇮67","reverse_text":"⊺⇮67=((⊺⇮6630⨿⊺⇮1041)≌(⊺⇮2949⊟⇱)∲⫓⊺⇮5498⨎⊺⇮1415⊍⩺⋍⊺⇮7049⊝⪿⪼⊺⇮3541)⋭≵(⊺⇮1745⫒⫫⊺⇮1396⨭⪣(⪲⇎⊺⇮1083)⨑≵⋬⊺⇮1440⊲⩕⊾⊺⇮3906∙⊟(⊺⇮4289⫳≱↱⊺⇮1237))","cot":[{"info":"⊺⇮6630⨿⊺⇮1041=⊺⇮-319","layer":3},{"info":"⊺⇮2949⊟⇱=⊺⇮6214","layer":3},{"info":"⊺⇮-319≌⊺⇮6214=NaN","layer":2},{"info":"⊺⇮5498⨎⊺⇮1415=⊺⇮1415","layer":3},{"info":"⊺⇮7049⊝⪿⪼⊺⇮3541=⊺⇮94399","layer":3},{"info":"⊺⇮1415⊍⩺⋍⊺⇮94399=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⊺⇮1745⫒⫫⊺⇮1396=NaN","layer":3},{"info":"⪲⇎⊺⇮1083=⊺⇮2166","layer":3},{"info":"NaN⨭⪣⊺⇮2166=NaN","layer":2},{"info":"⊺⇮1440⊲⩕⊾⊺⇮3906=⊺⇮-58730","layer":3},{"info":"⊺⇮4289⫳≱↱⊺⇮1237=⊺⇮-204","layer":3},{"info":"⊺⇮-58730∙⊟⊺⇮-204=⊺⇮779234","layer":2},{"info":"NaN⨑≵⋬⊺⇮779234=NaN","layer":1},{"info":"NaN⋭≵NaN=⊺⇮67","layer":0}]}
{"id":979,"expression_no_base_symbol":"($1164$⪍↜⋙$1772$⨰$1571$⩖⊿$4426$%($1516$⇂≾⫗$1975$⊊))⨸⪁($3681$⫸⇳$1887$)⩖⊿(↸⊣$2562$)⨐⩸⫘((⊑$1897$)⫔⩽⩺$2133$∠⫱$2539$)","expression":"(⊺⇮1164⪍↜⋙⊺⇮1772⨰⊺⇮1571⩖⊿⊺⇮4426%(⊺⇮1516⇂≾⫗⊺⇮1975⊊))⨸⪁(⊺⇮3681⫸⇳⊺⇮1887)⩖⊿(↸⊣⊺⇮2562)⨐⩸⫘((⊑⊺⇮1897)⫔⩽⩺⊺⇮2133∠⫱⊺⇮2539)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":867,"operation_count":14,"complexity_ratio":61.92857142857143,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1164,"base":10},"right_expr":{"type":"numeric_atoms","value":1772,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1571,"base":10},"right_expr":{"type":"numeric_atoms","value":4426,"base":10}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1516,"base":10},"right_expr":{"type":"numeric_atoms","value":1975,"base":10}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3681,"base":10},"right_expr":{"type":"numeric_atoms","value":1887,"base":10}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2562,"base":10}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1897,"base":10}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2133,"base":10},"right_expr":{"type":"numeric_atoms","value":2539,"base":10}}}}},"used_operators":["g55IO6H4Gj","k8jYdgA6NY","eewbuw0ToL","L05ObWFQCd","RZ5CV9rWsJ","W9R8I5fN5A","aBQ6xLxuTc","fu6greOZ01","gx7XJ7hdpj","wztAlM01eG","i9eR4S00cU","IkUmn0D7oy","QvoQhV0rrE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","3ViojmjbAp","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","Tw270M8GLb","fu6greOZ01","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1164","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=1772, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-10147","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=4426","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=4426, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=29042","layer":3},{"info":"compute binary expreesion, left_input=-10147, right_input=29042, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-39179","layer":2},{"info":"number node, value=1516","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=1975, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=-39179, right_input=90927, op_id = k8jYdgA6NY binary_op_definition= 'None', output=51748","layer":1},{"info":"number node, value=3681","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=3681, right_input=1887, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2562","layer":4},{"info":"compute unary expreesion, input=2562, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2275","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2275, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=6464","layer":2},{"info":"number node, value=1897","layer":4},{"info":"compute unary expreesion, input=1897, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=2133","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=2539, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=1234, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6464, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=51748, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1164⪍↜⋙⊺⇮1772⨰⊺⇮1571⩖⊿⊺⇮4426%(⊺⇮1516⇂≾⫗⊺⇮1975⊊))⨸⪁(⊺⇮3681⫸⇳⊺⇮1887)⩖⊿(↸⊣⊺⇮2562)⨐⩸⫘((⊑⊺⇮1897)⫔⩽⩺⊺⇮2133∠⫱⊺⇮2539)=NaN","reverse_text":"NaN=(⊺⇮1164⪍↜⋙⊺⇮1772⨰⊺⇮1571⩖⊿⊺⇮4426%(⊺⇮1516⇂≾⫗⊺⇮1975⊊))⨸⪁(⊺⇮3681⫸⇳⊺⇮1887)⩖⊿(↸⊣⊺⇮2562)⨐⩸⫘((⊑⊺⇮1897)⫔⩽⩺⊺⇮2133∠⫱⊺⇮2539)","cot":[{"info":"⊺⇮1164⪍↜⋙⊺⇮1772=⊺⇮-10147","layer":3},{"info":"⊺⇮1571⩖⊿⊺⇮4426=⊺⇮29042","layer":3},{"info":"⊺⇮-10147⨰⊺⇮29042=⊺⇮-39179","layer":2},{"info":"⊺⇮1516⇂≾⫗⊺⇮1975=⊺⇮-676","layer":3},{"info":"⊺⇮-676⊊=⊺⇮90927","layer":2},{"info":"⊺⇮-39179%⊺⇮90927=⊺⇮51748","layer":1},{"info":"⊺⇮3681⫸⇳⊺⇮1887=⊺⇮0","layer":3},{"info":"↸⊣⊺⇮2562=⊺⇮-2275","layer":3},{"info":"⊺⇮0⩖⊿⊺⇮-2275=⊺⇮6464","layer":2},{"info":"⊑⊺⇮1897=⊺⇮192","layer":3},{"info":"⊺⇮2133∠⫱⊺⇮2539=⊺⇮1234","layer":3},{"info":"⊺⇮192⫔⩽⩺⊺⇮1234=NaN","layer":2},{"info":"⊺⇮6464⨐⩸⫘NaN=NaN","layer":1},{"info":"⊺⇮51748⨸⪁NaN=NaN","layer":0}]}
{"id":980,"expression_no_base_symbol":"(($3194$⇴∐$7144$)↓($1293$⩺⪪$9074$)⩨($3796$∕⩚$4773$)⋹⋡⊁$1034$⫗⊷⫓$1250$)⇄(⩒∊(⩷$1342$∴$7197$))","expression":"((⊺⇮3194⇴∐⊺⇮7144)↓(⊺⇮1293⩺⪪⊺⇮9074)⩨(⊺⇮3796∕⩚⊺⇮4773)⋹⋡⊁⊺⇮1034⫗⊷⫓⊺⇮1250)⇄(⩒∊(⩷⊺⇮1342∴⊺⇮7197))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1000774,"operation_count":11,"complexity_ratio":90979.45454545454,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3194,"base":10},"right_expr":{"type":"numeric_atoms","value":7144,"base":10}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1293,"base":10},"right_expr":{"type":"numeric_atoms","value":9074,"base":10}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3796,"base":10},"right_expr":{"type":"numeric_atoms","value":4773,"base":10}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1034,"base":10},"right_expr":{"type":"numeric_atoms","value":1250,"base":10}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1342,"base":10},"right_expr":{"type":"numeric_atoms","value":7197,"base":10}}}}},"used_operators":["3EYGwJThht","2DlMacCsIx","Af076pWI7l","HnzytWxmAO","uvdQJvN4PV","As8RqfVLgs","z9ffQ9n5Zr","zashukvMKz","qazvmhNBbN","1h0rLqGiFr","hrf7POJlIJ"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3194","layer":4},{"info":"number node, value=7144","layer":4},{"info":"compute binary expreesion, left_input=3194, right_input=7144, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1293","layer":4},{"info":"number node, value=9074","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=9074, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=3796","layer":4},{"info":"number node, value=4773","layer":4},{"info":"compute binary expreesion, left_input=3796, right_input=4773, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3799","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=1250, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-3799, right_input=-134, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=60522","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=60522, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=1356","layer":1},{"info":"number node, value=1342","layer":4},{"info":"number node, value=7197","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=7197, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4332","layer":3},{"info":"compute unary expreesion, input=4332, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-52063","layer":2},{"info":"compute unary expreesion, input=-52063, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-157462","layer":1},{"info":"compute binary expreesion, left_input=1356, right_input=-157462, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3194⇴∐⊺⇮7144)↓(⊺⇮1293⩺⪪⊺⇮9074)⩨(⊺⇮3796∕⩚⊺⇮4773)⋹⋡⊁⊺⇮1034⫗⊷⫓⊺⇮1250)⇄(⩒∊(⩷⊺⇮1342∴⊺⇮7197))=⊺⇮0","reverse_text":"⊺⇮0=((⊺⇮3194⇴∐⊺⇮7144)↓(⊺⇮1293⩺⪪⊺⇮9074)⩨(⊺⇮3796∕⩚⊺⇮4773)⋹⋡⊁⊺⇮1034⫗⊷⫓⊺⇮1250)⇄(⩒∊(⩷⊺⇮1342∴⊺⇮7197))","cot":[{"info":"⊺⇮3194⇴∐⊺⇮7144=NaN","layer":3},{"info":"⊺⇮1293⩺⪪⊺⇮9074=⊺⇮-1818","layer":3},{"info":"NaN↓⊺⇮-1818=⊺⇮-134","layer":2},{"info":"⊺⇮3796∕⩚⊺⇮4773=⊺⇮-3799","layer":3},{"info":"⊺⇮1034⫗⊷⫓⊺⇮1250=⊺⇮-134","layer":3},{"info":"⊺⇮-3799⋹⋡⊁⊺⇮-134=⊺⇮60522","layer":2},{"info":"⊺⇮-134⩨⊺⇮60522=⊺⇮1356","layer":1},{"info":"⊺⇮1342∴⊺⇮7197=⊺⇮4332","layer":3},{"info":"⩷⊺⇮4332=⊺⇮-52063","layer":2},{"info":"⩒∊⊺⇮-52063=⊺⇮-157462","layer":1},{"info":"⊺⇮1356⇄⊺⇮-157462=⊺⇮0","layer":0}]}
{"id":981,"expression_no_base_symbol":"≀↧⇸(($1057$↓⨍⋜)⪎↠($2100$⩺⪪$1320$)∽$4692$↞⋁$3353$⫳≱↱$3764$↓$1784$)","expression":"≀↧⇸((⊺⇮1057↓⨍⋜)⪎↠(⊺⇮2100⩺⪪⊺⇮1320)∽⊺⇮4692↞⋁⊺⇮3353⫳≱↱⊺⇮3764↓⊺⇮1784)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25910,"operation_count":8,"complexity_ratio":3238.75,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":1057,"base":10}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2100,"base":10},"right_expr":{"type":"numeric_atoms","value":1320,"base":10}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4692,"base":10},"right_expr":{"type":"numeric_atoms","value":3353,"base":10}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3764,"base":10},"right_expr":{"type":"numeric_atoms","value":1784,"base":10}}}}},"used_operators":["ljTHtUsqzn","y4ImoPnbV5","3tVxb0NHM4","3DVzLFNsE9","uvdQJvN4PV","ZvLB05nZmT","RqrPlJkxDo","Af076pWI7l"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","NTOWxs364D","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⊺⇮-1556","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=2100","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=2100, right_input=1320, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-13378","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=-13378, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=4692","layer":4},{"info":"number node, value=3353","layer":4},{"info":"compute binary expreesion, left_input=4692, right_input=3353, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3764","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=3764, right_input=1784, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-337","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-337, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=389","layer":1},{"info":"compute unary expreesion, input=389, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=-1556","layer":0}],"base":10,"result_base":10,"text":"≀↧⇸((⊺⇮1057↓⨍⋜)⪎↠(⊺⇮2100⩺⪪⊺⇮1320)∽⊺⇮4692↞⋁⊺⇮3353⫳≱↱⊺⇮3764↓⊺⇮1784)=⊺⇮-1556","reverse_text":"⊺⇮-1556=≀↧⇸((⊺⇮1057↓⨍⋜)⪎↠(⊺⇮2100⩺⪪⊺⇮1320)∽⊺⇮4692↞⋁⊺⇮3353⫳≱↱⊺⇮3764↓⊺⇮1784)","cot":[{"info":"⊺⇮1057↓⨍⋜=⊺⇮6590","layer":3},{"info":"⊺⇮2100⩺⪪⊺⇮1320=⊺⇮-13378","layer":3},{"info":"⊺⇮6590⪎↠⊺⇮-13378=⊺⇮160","layer":2},{"info":"⊺⇮4692↞⋁⊺⇮3353=NaN","layer":3},{"info":"⊺⇮3764↓⊺⇮1784=⊺⇮-134","layer":3},{"info":"NaN⫳≱↱⊺⇮-134=⊺⇮-337","layer":2},{"info":"⊺⇮160∽⊺⇮-337=⊺⇮389","layer":1},{"info":"≀↧⇸⊺⇮389=⊺⇮-1556","layer":0}]}
{"id":982,"expression_no_base_symbol":"(⫛⫱⨽($1460$⊨$7781$⩨$1568$≒∊$2358$))≀⫉($2171$⨑⩅≇$1400$⨔⇊($1010$↙$3641$)⊉≛↸$1155$⩒⫫$1193$⫲≸⪮($1267$⊾⪯⋞$5828$))","expression":"(⫛⫱⨽(⊺⇮1460⊨⊺⇮7781⩨⊺⇮1568≒∊⊺⇮2358))≀⫉(⊺⇮2171⨑⩅≇⊺⇮1400⨔⇊(⊺⇮1010↙⊺⇮3641)⊉≛↸⊺⇮1155⩒⫫⊺⇮1193⫲≸⪮(⊺⇮1267⊾⪯⋞⊺⇮5828))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7156,"operation_count":12,"complexity_ratio":596.3333333333334,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1460,"base":10},"right_expr":{"type":"numeric_atoms","value":7781,"base":10}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1568,"base":10},"right_expr":{"type":"numeric_atoms","value":2358,"base":10}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2171,"base":10},"right_expr":{"type":"numeric_atoms","value":1400,"base":10}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1010,"base":10},"right_expr":{"type":"numeric_atoms","value":3641,"base":10}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1155,"base":10},"right_expr":{"type":"numeric_atoms","value":1193,"base":10}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1267,"base":10},"right_expr":{"type":"numeric_atoms","value":5828,"base":10}}}}},"used_operators":["oZj3VtZNQx","DlLNRPXxWL","2DlMacCsIx","vg4gO5BX6G","5KTvxBwnZo","DZ8iAZOCBD","JclMnS0uGI","h92wMvzauj","yyfyN0ffXY","P3lXMJvFrc","KFSx94NKJn","HK0tfVPux8"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⊺⇮2822","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1460","layer":4},{"info":"number node, value=7781","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=7781, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6871","layer":3},{"info":"number node, value=1568","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=2358, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1084","layer":3},{"info":"compute binary expreesion, left_input=6871, right_input=-1084, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=2171","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=1400, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-6513","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=3641","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=3641, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10923","layer":3},{"info":"compute binary expreesion, left_input=-6513, right_input=-10923, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4735","layer":2},{"info":"number node, value=1155","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=1193, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=853","layer":3},{"info":"number node, value=1267","layer":4},{"info":"number node, value=5828","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=5828, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=11230","layer":3},{"info":"compute binary expreesion, left_input=853, right_input=11230, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=853","layer":2},{"info":"compute binary expreesion, left_input=4735, right_input=853, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9470","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9470, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":10,"result_base":10,"text":"(⫛⫱⨽(⊺⇮1460⊨⊺⇮7781⩨⊺⇮1568≒∊⊺⇮2358))≀⫉(⊺⇮2171⨑⩅≇⊺⇮1400⨔⇊(⊺⇮1010↙⊺⇮3641)⊉≛↸⊺⇮1155⩒⫫⊺⇮1193⫲≸⪮(⊺⇮1267⊾⪯⋞⊺⇮5828))=⊺⇮2822","reverse_text":"⊺⇮2822=(⫛⫱⨽(⊺⇮1460⊨⊺⇮7781⩨⊺⇮1568≒∊⊺⇮2358))≀⫉(⊺⇮2171⨑⩅≇⊺⇮1400⨔⇊(⊺⇮1010↙⊺⇮3641)⊉≛↸⊺⇮1155⩒⫫⊺⇮1193⫲≸⪮(⊺⇮1267⊾⪯⋞⊺⇮5828))","cot":[{"info":"⊺⇮1460⊨⊺⇮7781=⊺⇮6871","layer":3},{"info":"⊺⇮1568≒∊⊺⇮2358=⊺⇮-1084","layer":3},{"info":"⊺⇮6871⩨⊺⇮-1084=⊺⇮3","layer":2},{"info":"⫛⫱⨽⊺⇮3=⊺⇮0","layer":1},{"info":"⊺⇮2171⨑⩅≇⊺⇮1400=⊺⇮-6513","layer":3},{"info":"⊺⇮1010↙⊺⇮3641=⊺⇮-10923","layer":3},{"info":"⊺⇮-6513⨔⇊⊺⇮-10923=⊺⇮4735","layer":2},{"info":"⊺⇮1155⩒⫫⊺⇮1193=⊺⇮853","layer":3},{"info":"⊺⇮1267⊾⪯⋞⊺⇮5828=⊺⇮11230","layer":3},{"info":"⊺⇮853⫲≸⪮⊺⇮11230=⊺⇮853","layer":2},{"info":"⊺⇮4735⊉≛↸⊺⇮853=⊺⇮9470","layer":1},{"info":"⊺⇮0≀⫉⊺⇮9470=⊺⇮2822","layer":0}]}
{"id":983,"expression_no_base_symbol":"(⩷⨜⫀($4358$≁↽≥$1203$⨎⋸⪻))⋻⩜⩜(($1154$↪⪝)≄⊠$2005$⨔⇊$5529$)⩁⩘(($2888$⋝⋈⪟$1035$)⊲⩕⊾$4147$≁$2474$)","expression":"(⩷⨜⫀(⊺⇮4358≁↽≥⊺⇮1203⨎⋸⪻))⋻⩜⩜((⊺⇮1154↪⪝)≄⊠⊺⇮2005⨔⇊⊺⇮5529)⩁⩘((⊺⇮2888⋝⋈⪟⊺⇮1035)⊲⩕⊾⊺⇮4147≁⊺⇮2474)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":926,"operation_count":11,"complexity_ratio":84.18181818181819,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4358,"base":10},"right_expr":{"type":"numeric_atoms","value":1203,"base":10}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1154,"base":10}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2005,"base":10},"right_expr":{"type":"numeric_atoms","value":5529,"base":10}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2888,"base":10},"right_expr":{"type":"numeric_atoms","value":1035,"base":10}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4147,"base":10},"right_expr":{"type":"numeric_atoms","value":2474,"base":10}}}}},"used_operators":["oDCm7WA9JY","CDi0ktkjQ4","Dk5vyLCiGd","ncHt1X6cMc","gub5Cegaqo","vXNesLlMH1","l07mrZUIn9","JclMnS0uGI","DmTXOeWf9t","2DDjHMKMc0","8N2wDY1A35"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","ruOEQAzv1W","nhYeJWJD5X","IWmyXbctLI","oWn0xqSxBt","3Oe9XWJUTD","DpFCA1CohY","IWmyXbctLI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4358","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=4358, right_input=1203, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=64092","layer":3},{"info":"compute unary expreesion, input=64092, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=128500","layer":2},{"info":"compute unary expreesion, input=128500, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-128227","layer":1},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=70604028","layer":3},{"info":"number node, value=2005","layer":4},{"info":"number node, value=5529","layer":4},{"info":"compute binary expreesion, left_input=2005, right_input=5529, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5529","layer":3},{"info":"compute binary expreesion, left_input=70604028, right_input=5529, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=93132","layer":2},{"info":"number node, value=2888","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=1035, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2888","layer":3},{"info":"number node, value=4147","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=2474, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=46175","layer":3},{"info":"compute binary expreesion, left_input=2888, right_input=46175, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-504588","layer":2},{"info":"compute binary expreesion, left_input=93132, right_input=-504588, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-2017404","layer":1},{"info":"compute binary expreesion, left_input=-128227, right_input=-2017404, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⩷⨜⫀(⊺⇮4358≁↽≥⊺⇮1203⨎⋸⪻))⋻⩜⩜((⊺⇮1154↪⪝)≄⊠⊺⇮2005⨔⇊⊺⇮5529)⩁⩘((⊺⇮2888⋝⋈⪟⊺⇮1035)⊲⩕⊾⊺⇮4147≁⊺⇮2474)=NaN","reverse_text":"NaN=(⩷⨜⫀(⊺⇮4358≁↽≥⊺⇮1203⨎⋸⪻))⋻⩜⩜((⊺⇮1154↪⪝)≄⊠⊺⇮2005⨔⇊⊺⇮5529)⩁⩘((⊺⇮2888⋝⋈⪟⊺⇮1035)⊲⩕⊾⊺⇮4147≁⊺⇮2474)","cot":[{"info":"⊺⇮4358≁↽≥⊺⇮1203=⊺⇮64092","layer":3},{"info":"⊺⇮64092⨎⋸⪻=⊺⇮128500","layer":2},{"info":"⩷⨜⫀⊺⇮128500=⊺⇮-128227","layer":1},{"info":"⊺⇮1154↪⪝=⊺⇮70604028","layer":3},{"info":"⊺⇮2005⨔⇊⊺⇮5529=⊺⇮5529","layer":3},{"info":"⊺⇮70604028≄⊠⊺⇮5529=⊺⇮93132","layer":2},{"info":"⊺⇮2888⋝⋈⪟⊺⇮1035=⊺⇮2888","layer":3},{"info":"⊺⇮4147≁⊺⇮2474=⊺⇮46175","layer":3},{"info":"⊺⇮2888⊲⩕⊾⊺⇮46175=⊺⇮-504588","layer":2},{"info":"⊺⇮93132⩁⩘⊺⇮-504588=⊺⇮-2017404","layer":1},{"info":"⊺⇮-128227⋻⩜⩜⊺⇮-2017404=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"(∟⋨($2730$⫗⊷⫓$1414$⋣⋖($3701$∝$6840$)))⇻⋧≁(($1127$⇍⊗$2096$⨔≚≋(⩩$5492$))⪪(($1425$↸$1415$)≀⫉($1504$⨒$4048$)))","expression":"(∟⋨(⊺⇮2730⫗⊷⫓⊺⇮1414⋣⋖(⊺⇮3701∝⊺⇮6840)))⇻⋧≁((⊺⇮1127⇍⊗⊺⇮2096⨔≚≋(⩩⊺⇮5492))⪪((⊺⇮1425↸⊺⇮1415)≀⫉(⊺⇮1504⨒⊺⇮4048)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1106933,"operation_count":12,"complexity_ratio":92244.41666666667,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2730,"base":10},"right_expr":{"type":"numeric_atoms","value":1414,"base":10}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3701,"base":10},"right_expr":{"type":"numeric_atoms","value":6840,"base":10}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1127,"base":10},"right_expr":{"type":"numeric_atoms","value":2096,"base":10}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":5492,"base":10}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1425,"base":10},"right_expr":{"type":"numeric_atoms","value":1415,"base":10}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1504,"base":10},"right_expr":{"type":"numeric_atoms","value":4048,"base":10}}}}},"used_operators":["jCPkEVoL5K","ctOc4cKSDt","J0M6qkBnIM","zashukvMKz","cTDWOvIxvz","xD69zh8xqp","Z57zeUYC9z","5uvYHDjeKN","kMhfGuqI2H","oZj3VtZNQx","1eCjFl0mb9","y75s1iXyHd"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","tmPS8pqC7x","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","7j4O788W3g","W4YGzv6Whe","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⊺⇮-447","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2730","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=2730, right_input=1414, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=3701","layer":4},{"info":"number node, value=6840","layer":4},{"info":"compute binary expreesion, left_input=3701, right_input=6840, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3706","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=3706, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=618","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=2096, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=5492","layer":4},{"info":"compute unary expreesion, input=5492, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=1425","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=1415, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1425","layer":3},{"info":"number node, value=1504","layer":4},{"info":"number node, value=4048","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=4048, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-8652","layer":3},{"info":"compute binary expreesion, left_input=1425, right_input=-8652, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=618, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":10,"result_base":10,"text":"(∟⋨(⊺⇮2730⫗⊷⫓⊺⇮1414⋣⋖(⊺⇮3701∝⊺⇮6840)))⇻⋧≁((⊺⇮1127⇍⊗⊺⇮2096⨔≚≋(⩩⊺⇮5492))⪪((⊺⇮1425↸⊺⇮1415)≀⫉(⊺⇮1504⨒⊺⇮4048)))=⊺⇮-447","reverse_text":"⊺⇮-447=(∟⋨(⊺⇮2730⫗⊷⫓⊺⇮1414⋣⋖(⊺⇮3701∝⊺⇮6840)))⇻⋧≁((⊺⇮1127⇍⊗⊺⇮2096⨔≚≋(⩩⊺⇮5492))⪪((⊺⇮1425↸⊺⇮1415)≀⫉(⊺⇮1504⨒⊺⇮4048)))","cot":[{"info":"⊺⇮2730⫗⊷⫓⊺⇮1414=⊺⇮-134","layer":3},{"info":"⊺⇮3701∝⊺⇮6840=⊺⇮3706","layer":3},{"info":"⊺⇮-134⋣⋖⊺⇮3706=⊺⇮-134","layer":2},{"info":"∟⋨⊺⇮-134=⊺⇮618","layer":1},{"info":"⊺⇮1127⇍⊗⊺⇮2096=⊺⇮-244","layer":3},{"info":"⩩⊺⇮5492=NaN","layer":3},{"info":"⊺⇮-244⨔≚≋NaN=NaN","layer":2},{"info":"⊺⇮1425↸⊺⇮1415=⊺⇮1425","layer":3},{"info":"⊺⇮1504⨒⊺⇮4048=⊺⇮-8652","layer":3},{"info":"⊺⇮1425≀⫉⊺⇮-8652=⊺⇮2822","layer":2},{"info":"NaN⪪⊺⇮2822=NaN","layer":1},{"info":"⊺⇮618⇻⋧≁NaN=⊺⇮-447","layer":0}]}
{"id":985,"expression_no_base_symbol":"(($4523$⨳⩥⨓$3547$)⨐⩸⫘($2132$⨒$2799$))⨻⩈⩔($5888$⩨$1066$⋻⩜⩜$3917$⫯⪬∳$1170$)⪨≂($1384$⪥$1266$)⋥⋵⩄($3566$⊉≛↸$5036$)⊋≦⊧(∨∊⋏($3997$⩹$4697$))","expression":"((⊺⇮4523⨳⩥⨓⊺⇮3547)⨐⩸⫘(⊺⇮2132⨒⊺⇮2799))⨻⩈⩔(⊺⇮5888⩨⊺⇮1066⋻⩜⩜⊺⇮3917⫯⪬∳⊺⇮1170)⪨≂(⊺⇮1384⪥⊺⇮1266)⋥⋵⩄(⊺⇮3566⊉≛↸⊺⇮5036)⊋≦⊧(∨∊⋏(⊺⇮3997⩹⊺⇮4697))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":391,"operation_count":14,"complexity_ratio":27.928571428571427,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4523,"base":10},"right_expr":{"type":"numeric_atoms","value":3547,"base":10}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2132,"base":10},"right_expr":{"type":"numeric_atoms","value":2799,"base":10}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5888,"base":10},"right_expr":{"type":"numeric_atoms","value":1066,"base":10}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3917,"base":10},"right_expr":{"type":"numeric_atoms","value":1170,"base":10}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1384,"base":10},"right_expr":{"type":"numeric_atoms","value":1266,"base":10}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3566,"base":10},"right_expr":{"type":"numeric_atoms","value":5036,"base":10}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3997,"base":10},"right_expr":{"type":"numeric_atoms","value":4697,"base":10}}}}},"used_operators":["sdazOOVcIp","nEsXyWgiOK","fu6greOZ01","nCS4ZIUYfx","y75s1iXyHd","oDCm7WA9JY","2DlMacCsIx","d7ASUq0ydm","oRDoc9rAEX","7t3wd0Fuz7","QbnwKVWMIQ","DZ8iAZOCBD","R5aXW34M0v","2Wsdkap16l"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4523","layer":4},{"info":"number node, value=3547","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=3547, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-976","layer":3},{"info":"number node, value=2132","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=2799, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-12420","layer":3},{"info":"compute binary expreesion, left_input=-976, right_input=-12420, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5888","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=5888, right_input=1066, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3917","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=3917, right_input=1170, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=18448","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=18448, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1924","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1924, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"number node, value=1384","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1266, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10188","layer":3},{"info":"number node, value=3566","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=3566, right_input=5036, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7132","layer":3},{"info":"compute binary expreesion, left_input=10188, right_input=7132, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=3997","layer":4},{"info":"number node, value=4697","layer":4},{"info":"compute binary expreesion, left_input=3997, right_input=4697, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=4695","layer":3},{"info":"compute unary expreesion, input=4695, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=99479","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=99479, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮4523⨳⩥⨓⊺⇮3547)⨐⩸⫘(⊺⇮2132⨒⊺⇮2799))⨻⩈⩔(⊺⇮5888⩨⊺⇮1066⋻⩜⩜⊺⇮3917⫯⪬∳⊺⇮1170)⪨≂(⊺⇮1384⪥⊺⇮1266)⋥⋵⩄(⊺⇮3566⊉≛↸⊺⇮5036)⊋≦⊧(∨∊⋏(⊺⇮3997⩹⊺⇮4697))=NaN","reverse_text":"NaN=((⊺⇮4523⨳⩥⨓⊺⇮3547)⨐⩸⫘(⊺⇮2132⨒⊺⇮2799))⨻⩈⩔(⊺⇮5888⩨⊺⇮1066⋻⩜⩜⊺⇮3917⫯⪬∳⊺⇮1170)⪨≂(⊺⇮1384⪥⊺⇮1266)⋥⋵⩄(⊺⇮3566⊉≛↸⊺⇮5036)⊋≦⊧(∨∊⋏(⊺⇮3997⩹⊺⇮4697))","cot":[{"info":"⊺⇮4523⨳⩥⨓⊺⇮3547=⊺⇮-976","layer":3},{"info":"⊺⇮2132⨒⊺⇮2799=⊺⇮-12420","layer":3},{"info":"⊺⇮-976⨐⩸⫘⊺⇮-12420=NaN","layer":2},{"info":"⊺⇮5888⩨⊺⇮1066=⊺⇮0","layer":3},{"info":"⊺⇮3917⫯⪬∳⊺⇮1170=⊺⇮18448","layer":3},{"info":"⊺⇮0⋻⩜⩜⊺⇮18448=⊺⇮1924","layer":2},{"info":"NaN⨻⩈⩔⊺⇮1924=NaN","layer":1},{"info":"⊺⇮1384⪥⊺⇮1266=⊺⇮10188","layer":3},{"info":"⊺⇮3566⊉≛↸⊺⇮5036=⊺⇮7132","layer":3},{"info":"⊺⇮10188⋥⋵⩄⊺⇮7132=⊺⇮113","layer":2},{"info":"⊺⇮3997⩹⊺⇮4697=⊺⇮4695","layer":3},{"info":"∨∊⋏⊺⇮4695=⊺⇮99479","layer":2},{"info":"⊺⇮113⊋≦⊧⊺⇮99479=⊺⇮192","layer":1},{"info":"NaN⪨≂⊺⇮192=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"(($3043$⫗⊷⫓$4026$⋩≍≻)⫔⩽⩺($7937$⫥∨⫟$3720$)↢($2385$⫉⨲⊜$6982$))⊕∕(($3388$⫘$1907$)⨐($5150$⩖⊿$1703$)⫉⨲⊜$3922$⫗⊷⫓$1592$⫗⊷⫓($4569$⊹≧⊝))","expression":"((⊺⇮3043⫗⊷⫓⊺⇮4026⋩≍≻)⫔⩽⩺(⊺⇮7937⫥∨⫟⊺⇮3720)↢(⊺⇮2385⫉⨲⊜⊺⇮6982))⊕∕((⊺⇮3388⫘⊺⇮1907)⨐(⊺⇮5150⩖⊿⊺⇮1703)⫉⨲⊜⊺⇮3922⫗⊷⫓⊺⇮1592⫗⊷⫓(⊺⇮4569⊹≧⊝))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1241654,"operation_count":14,"complexity_ratio":88689.57142857143,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3043,"base":10},"right_expr":{"type":"numeric_atoms","value":4026,"base":10}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7937,"base":10},"right_expr":{"type":"numeric_atoms","value":3720,"base":10}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2385,"base":10},"right_expr":{"type":"numeric_atoms","value":6982,"base":10}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3388,"base":10},"right_expr":{"type":"numeric_atoms","value":1907,"base":10}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5150,"base":10},"right_expr":{"type":"numeric_atoms","value":1703,"base":10}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3922,"base":10},"right_expr":{"type":"numeric_atoms","value":1592,"base":10}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":4569,"base":10}}}}},"used_operators":["9cloC0Ngie","i9eR4S00cU","WYd1w68Nbz","zashukvMKz","WR6HLWljOP","KYD54nUTWz","WhqkvtTD3t","Noe24qw2ks","48vC8HMD2b","RZ5CV9rWsJ","LxFB4K6j0n"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Tw270M8GLb","fu6greOZ01","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","eewbuw0ToL","zVYPLywUTj","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3043","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=4026, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=67","layer":2},{"info":"number node, value=7937","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=7937, right_input=3720, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2385","layer":4},{"info":"number node, value=6982","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=6982, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=3388","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=3388, right_input=1907, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3988693","layer":3},{"info":"number node, value=5150","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=5150, right_input=1703, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-7058","layer":3},{"info":"compute binary expreesion, left_input=3988693, right_input=-7058, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7977386","layer":2},{"info":"number node, value=3922","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=1592, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=4569","layer":4},{"info":"compute unary expreesion, input=4569, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-18276","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-18276, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-7977386, right_input=-134, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((⊺⇮3043⫗⊷⫓⊺⇮4026⋩≍≻)⫔⩽⩺(⊺⇮7937⫥∨⫟⊺⇮3720)↢(⊺⇮2385⫉⨲⊜⊺⇮6982))⊕∕((⊺⇮3388⫘⊺⇮1907)⨐(⊺⇮5150⩖⊿⊺⇮1703)⫉⨲⊜⊺⇮3922⫗⊷⫓⊺⇮1592⫗⊷⫓(⊺⇮4569⊹≧⊝))=NaN","reverse_text":"NaN=((⊺⇮3043⫗⊷⫓⊺⇮4026⋩≍≻)⫔⩽⩺(⊺⇮7937⫥∨⫟⊺⇮3720)↢(⊺⇮2385⫉⨲⊜⊺⇮6982))⊕∕((⊺⇮3388⫘⊺⇮1907)⨐(⊺⇮5150⩖⊿⊺⇮1703)⫉⨲⊜⊺⇮3922⫗⊷⫓⊺⇮1592⫗⊷⫓(⊺⇮4569⊹≧⊝))","cot":[{"info":"⊺⇮3043⫗⊷⫓⊺⇮4026=⊺⇮-134","layer":3},{"info":"⊺⇮-134⋩≍≻=⊺⇮67","layer":2},{"info":"⊺⇮7937⫥∨⫟⊺⇮3720=NaN","layer":3},{"info":"⊺⇮2385⫉⨲⊜⊺⇮6982=⊺⇮0","layer":3},{"info":"NaN↢⊺⇮0=NaN","layer":2},{"info":"⊺⇮67⫔⩽⩺NaN=NaN","layer":1},{"info":"⊺⇮3388⫘⊺⇮1907=⊺⇮3988693","layer":3},{"info":"⊺⇮5150⩖⊿⊺⇮1703=⊺⇮-7058","layer":3},{"info":"⊺⇮3988693⨐⊺⇮-7058=⊺⇮-7977386","layer":2},{"info":"⊺⇮3922⫗⊷⫓⊺⇮1592=⊺⇮-134","layer":3},{"info":"⊺⇮4569⊹≧⊝=⊺⇮-18276","layer":3},{"info":"⊺⇮-134⫗⊷⫓⊺⇮-18276=⊺⇮-134","layer":2},{"info":"⊺⇮-7977386⫉⨲⊜⊺⇮-134=⊺⇮-244","layer":1},{"info":"NaN⊕∕⊺⇮-244=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"($3273$≬⇓$3411$)⊔$8069$≠≀$7705$≳⇉($1474$⊲⩕⊾$5296$⩷∴($5933$⫦⪉$3914$))⇮⋭(((⊄⩳↩$6297$)⩹$5769$⪭≯$4878$)⇼⇔∾$1723$⨼⩣$1122$⨭⪣($1247$≚⋢))","expression":"(⊺⇮3273≬⇓⊺⇮3411)⊔⊺⇮8069≠≀⊺⇮7705≳⇉(⊺⇮1474⊲⩕⊾⊺⇮5296⩷∴(⊺⇮5933⫦⪉⊺⇮3914))⇮⋭(((⊄⩳↩⊺⇮6297)⩹⊺⇮5769⪭≯⊺⇮4878)⇼⇔∾⊺⇮1723⨼⩣⊺⇮1122⨭⪣(⊺⇮1247≚⋢))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":265792,"operation_count":15,"complexity_ratio":17719.466666666667,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3273,"base":10},"right_expr":{"type":"numeric_atoms","value":3411,"base":10}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":8069,"base":10},"right_expr":{"type":"numeric_atoms","value":7705,"base":10}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1474,"base":10},"right_expr":{"type":"numeric_atoms","value":5296,"base":10}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5933,"base":10},"right_expr":{"type":"numeric_atoms","value":3914,"base":10}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6297,"base":10}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5769,"base":10},"right_expr":{"type":"numeric_atoms","value":4878,"base":10}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1723,"base":10},"right_expr":{"type":"numeric_atoms","value":1122,"base":10}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1247,"base":10}}}}},"used_operators":["vkpjKywKVM","V0kx6qeWkN","E4l6HwMY31","jWTQ2TZYIH","IwW236VD4Y","9FxExcQeMw","DmTXOeWf9t","wscyQdcy20","tifHPKVTfV","2Wsdkap16l","8w2t5hMYqp","XAx5wpdLa6","kn8WO9XteQ","JxwMv5le6e","MahUMFw56D"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","3ViojmjbAp"],"result":"⊺⇮67","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3273","layer":4},{"info":"number node, value=3411","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=3411, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=8069","layer":4},{"info":"number node, value=7705","layer":4},{"info":"compute binary expreesion, left_input=8069, right_input=7705, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-15832","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-15832, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-79","layer":2},{"info":"number node, value=1474","layer":4},{"info":"number node, value=5296","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=5296, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-73174","layer":3},{"info":"number node, value=5933","layer":4},{"info":"number node, value=3914","layer":4},{"info":"compute binary expreesion, left_input=5933, right_input=3914, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6966","layer":3},{"info":"compute binary expreesion, left_input=-73174, right_input=-6966, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-132448","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=-132448, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=6297","layer":4},{"info":"compute unary expreesion, input=6297, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-18891","layer":3},{"info":"number node, value=5769","layer":4},{"info":"number node, value=4878","layer":4},{"info":"compute binary expreesion, left_input=5769, right_input=4878, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-18891, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=1723","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=1122, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-89, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3273≬⇓⊺⇮3411)⊔⊺⇮8069≠≀⊺⇮7705≳⇉(⊺⇮1474⊲⩕⊾⊺⇮5296⩷∴(⊺⇮5933⫦⪉⊺⇮3914))⇮⋭(((⊄⩳↩⊺⇮6297)⩹⊺⇮5769⪭≯⊺⇮4878)⇼⇔∾⊺⇮1723⨼⩣⊺⇮1122⨭⪣(⊺⇮1247≚⋢))=⊺⇮67","reverse_text":"⊺⇮67=(⊺⇮3273≬⇓⊺⇮3411)⊔⊺⇮8069≠≀⊺⇮7705≳⇉(⊺⇮1474⊲⩕⊾⊺⇮5296⩷∴(⊺⇮5933⫦⪉⊺⇮3914))⇮⋭(((⊄⩳↩⊺⇮6297)⩹⊺⇮5769⪭≯⊺⇮4878)⇼⇔∾⊺⇮1723⨼⩣⊺⇮1122⨭⪣(⊺⇮1247≚⋢))","cot":[{"info":"⊺⇮3273≬⇓⊺⇮3411=⊺⇮-22","layer":3},{"info":"⊺⇮8069≠≀⊺⇮7705=⊺⇮-15832","layer":3},{"info":"⊺⇮-22⊔⊺⇮-15832=⊺⇮-79","layer":2},{"info":"⊺⇮1474⊲⩕⊾⊺⇮5296=⊺⇮-73174","layer":3},{"info":"⊺⇮5933⫦⪉⊺⇮3914=⊺⇮-6966","layer":3},{"info":"⊺⇮-73174⩷∴⊺⇮-6966=⊺⇮-132448","layer":2},{"info":"⊺⇮-79≳⇉⊺⇮-132448=NaN","layer":1},{"info":"⊄⩳↩⊺⇮6297=⊺⇮-18891","layer":3},{"info":"⊺⇮5769⪭≯⊺⇮4878=NaN","layer":3},{"info":"⊺⇮-18891⩹NaN=NaN","layer":2},{"info":"⊺⇮1723⨼⩣⊺⇮1122=NaN","layer":3},{"info":"⊺⇮1247≚⋢=⊺⇮-89","layer":3},{"info":"NaN⨭⪣⊺⇮-89=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⇮⋭NaN=⊺⇮67","layer":0}]}
{"id":988,"expression_no_base_symbol":"($5598$≄⊠$1541$⋅⇍(≀↧⇸$6970$))≎⊠⪸($1174$⪨≂$4732$)≝⊿($2660$⨓$3881$)⫔⩽⩺(($2510$≎⊠⪸$1330$⪛⫼(↨⩢⫨$4617$))⊦⊿)","expression":"(⊺⇮5598≄⊠⊺⇮1541⋅⇍(≀↧⇸⊺⇮6970))≎⊠⪸(⊺⇮1174⪨≂⊺⇮4732)≝⊿(⊺⇮2660⨓⊺⇮3881)⫔⩽⩺((⊺⇮2510≎⊠⪸⊺⇮1330⪛⫼(↨⩢⫨⊺⇮4617))⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17193,"operation_count":12,"complexity_ratio":1432.75,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5598,"base":10},"right_expr":{"type":"numeric_atoms","value":1541,"base":10}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":6970,"base":10}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1174,"base":10},"right_expr":{"type":"numeric_atoms","value":4732,"base":10}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2660,"base":10},"right_expr":{"type":"numeric_atoms","value":3881,"base":10}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2510,"base":10},"right_expr":{"type":"numeric_atoms","value":1330,"base":10}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":4617,"base":10}}}}},"used_operators":["i9eR4S00cU","bJkvcejdHO","AdZkA7nFnk","vXNesLlMH1","ljTHtUsqzn","OKKcZfAt5B","sdazOOVcIp","3ViojmjbAp","14qkJME0vr","hyuBjUqXlG","Z5CJsN7DuW"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","XPYlsWDdGa","23Mk6UjR3U","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=5598","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=5598, right_input=1541, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=29324","layer":3},{"info":"number node, value=6970","layer":4},{"info":"compute unary expreesion, input=6970, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=13940","layer":3},{"info":"compute binary expreesion, left_input=29324, right_input=13940, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=1174","layer":4},{"info":"number node, value=4732","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=4732, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7014","layer":3},{"info":"number node, value=2660","layer":4},{"info":"number node, value=3881","layer":4},{"info":"compute binary expreesion, left_input=2660, right_input=3881, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3884","layer":3},{"info":"compute binary expreesion, left_input=-7014, right_input=-3884, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=14249","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=14249, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=5698","layer":1},{"info":"number node, value=2510","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=1330, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=649617","layer":3},{"info":"number node, value=4617","layer":4},{"info":"compute unary expreesion, input=4617, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=649617, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-2983","layer":1},{"info":"compute binary expreesion, left_input=5698, right_input=-2983, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮5598≄⊠⊺⇮1541⋅⇍(≀↧⇸⊺⇮6970))≎⊠⪸(⊺⇮1174⪨≂⊺⇮4732)≝⊿(⊺⇮2660⨓⊺⇮3881)⫔⩽⩺((⊺⇮2510≎⊠⪸⊺⇮1330⪛⫼(↨⩢⫨⊺⇮4617))⊦⊿)=NaN","reverse_text":"NaN=(⊺⇮5598≄⊠⊺⇮1541⋅⇍(≀↧⇸⊺⇮6970))≎⊠⪸(⊺⇮1174⪨≂⊺⇮4732)≝⊿(⊺⇮2660⨓⊺⇮3881)⫔⩽⩺((⊺⇮2510≎⊠⪸⊺⇮1330⪛⫼(↨⩢⫨⊺⇮4617))⊦⊿)","cot":[{"info":"⊺⇮5598≄⊠⊺⇮1541=⊺⇮29324","layer":3},{"info":"≀↧⇸⊺⇮6970=⊺⇮13940","layer":3},{"info":"⊺⇮29324⋅⇍⊺⇮13940=⊺⇮-22","layer":2},{"info":"⊺⇮1174⪨≂⊺⇮4732=⊺⇮-7014","layer":3},{"info":"⊺⇮2660⨓⊺⇮3881=⊺⇮-3884","layer":3},{"info":"⊺⇮-7014≝⊿⊺⇮-3884=⊺⇮14249","layer":2},{"info":"⊺⇮-22≎⊠⪸⊺⇮14249=⊺⇮5698","layer":1},{"info":"⊺⇮2510≎⊠⪸⊺⇮1330=⊺⇮649617","layer":3},{"info":"↨⩢⫨⊺⇮4617=⊺⇮0","layer":3},{"info":"⊺⇮649617⪛⫼⊺⇮0=⊺⇮968","layer":2},{"info":"⊺⇮968⊦⊿=⊺⇮-2983","layer":1},{"info":"⊺⇮5698⫔⩽⩺⊺⇮-2983=NaN","layer":0}]}
{"id":989,"expression_no_base_symbol":"(≇⪴($1387$⨘))+⇶⊼$2052$↳≱$1187$≀⫉($5639$⫢⨠$2502$)∖((⋠∜$2440$)≎⊠⪸$3198$⊱⇼⊻$5099$)∴($2952$⪨⊡$2918$)⪬($2040$⨪↰⇹$1095$)","expression":"(≇⪴(⊺⇮1387⨘))+⇶⊼⊺⇮2052↳≱⊺⇮1187≀⫉(⊺⇮5639⫢⨠⊺⇮2502)∖((⋠∜⊺⇮2440)≎⊠⪸⊺⇮3198⊱⇼⊻⊺⇮5099)∴(⊺⇮2952⪨⊡⊺⇮2918)⪬(⊺⇮2040⨪↰⇹⊺⇮1095)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":494181,"operation_count":14,"complexity_ratio":35298.642857142855,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1387,"base":10}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2052,"base":10},"right_expr":{"type":"numeric_atoms","value":1187,"base":10}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5639,"base":10},"right_expr":{"type":"numeric_atoms","value":2502,"base":10}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2440,"base":10}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3198,"base":10},"right_expr":{"type":"numeric_atoms","value":5099,"base":10}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2952,"base":10},"right_expr":{"type":"numeric_atoms","value":2918,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2040,"base":10},"right_expr":{"type":"numeric_atoms","value":1095,"base":10}}}}},"used_operators":["tXD093vOjl","TpPTUOHfaN","zoVPnxeHJ3","ljcfZBUpm8","oZj3VtZNQx","JwTKLfZU96","xlXykHWxX1","hrf7POJlIJ","bJkvcejdHO","ZJpFhNJr3x","FyVja0WsTP","Ez1Nq5fNfI","kuIXHzHcAH","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","AHs5Up7iyr","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rJVOvQCfKK"],"result":"⊺⇮0","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1387","layer":4},{"info":"compute unary expreesion, input=1387, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-10484","layer":3},{"info":"compute unary expreesion, input=-10484, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-41936","layer":2},{"info":"number node, value=2052","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=2052, right_input=1187, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=5639","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=5639, right_input=2502, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-41936, right_input=2822, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2440","layer":4},{"info":"compute unary expreesion, input=2440, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=12044","layer":3},{"info":"number node, value=3198","layer":4},{"info":"number node, value=5099","layer":4},{"info":"compute binary expreesion, left_input=3198, right_input=5099, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=12044, right_input=434, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3118923","layer":2},{"info":"number node, value=2952","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=2918, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2040","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=1095, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2040","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2040, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=3118923, right_input=1234, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6239494","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6239494, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":10,"result_base":10,"text":"(≇⪴(⊺⇮1387⨘))+⇶⊼⊺⇮2052↳≱⊺⇮1187≀⫉(⊺⇮5639⫢⨠⊺⇮2502)∖((⋠∜⊺⇮2440)≎⊠⪸⊺⇮3198⊱⇼⊻⊺⇮5099)∴(⊺⇮2952⪨⊡⊺⇮2918)⪬(⊺⇮2040⨪↰⇹⊺⇮1095)=⊺⇮0","reverse_text":"⊺⇮0=(≇⪴(⊺⇮1387⨘))+⇶⊼⊺⇮2052↳≱⊺⇮1187≀⫉(⊺⇮5639⫢⨠⊺⇮2502)∖((⋠∜⊺⇮2440)≎⊠⪸⊺⇮3198⊱⇼⊻⊺⇮5099)∴(⊺⇮2952⪨⊡⊺⇮2918)⪬(⊺⇮2040⨪↰⇹⊺⇮1095)","cot":[{"info":"⊺⇮1387⨘=⊺⇮-10484","layer":3},{"info":"≇⪴⊺⇮-10484=⊺⇮-41936","layer":2},{"info":"⊺⇮2052↳≱⊺⇮1187=⊺⇮0","layer":3},{"info":"⊺⇮5639⫢⨠⊺⇮2502=⊺⇮160","layer":3},{"info":"⊺⇮0≀⫉⊺⇮160=⊺⇮2822","layer":2},{"info":"⊺⇮-41936+⇶⊼⊺⇮2822=NaN","layer":1},{"info":"⋠∜⊺⇮2440=⊺⇮12044","layer":3},{"info":"⊺⇮3198⊱⇼⊻⊺⇮5099=⊺⇮434","layer":3},{"info":"⊺⇮12044≎⊠⪸⊺⇮434=⊺⇮3118923","layer":2},{"info":"⊺⇮2952⪨⊡⊺⇮2918=⊺⇮0","layer":3},{"info":"⊺⇮2040⨪↰⇹⊺⇮1095=⊺⇮2040","layer":3},{"info":"⊺⇮0⪬⊺⇮2040=⊺⇮1234","layer":2},{"info":"⊺⇮3118923∴⊺⇮1234=⊺⇮6239494","layer":1},{"info":"NaN∖⊺⇮6239494=⊺⇮0","layer":0}]}
{"id":990,"expression_no_base_symbol":"(≑⋹($1440$⫗⊷⫓$2188$⨔≚≋($2576$⇉⇱⇎)))⫘((($2308$⪉⨛$1607$)≒∊$1886$⊢$2533$)⨚($4779$≭$1099$≓∲($1810$+$5580$)))","expression":"(≑⋹(⊺⇮1440⫗⊷⫓⊺⇮2188⨔≚≋(⊺⇮2576⇉⇱⇎)))⫘(((⊺⇮2308⪉⨛⊺⇮1607)≒∊⊺⇮1886⊢⊺⇮2533)⨚(⊺⇮4779≭⊺⇮1099≓∲(⊺⇮1810+⊺⇮5580)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1701564,"operation_count":12,"complexity_ratio":141797.0,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1440,"base":10},"right_expr":{"type":"numeric_atoms","value":2188,"base":10}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":2576,"base":10}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2308,"base":10},"right_expr":{"type":"numeric_atoms","value":1607,"base":10}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1886,"base":10},"right_expr":{"type":"numeric_atoms","value":2533,"base":10}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4779,"base":10},"right_expr":{"type":"numeric_atoms","value":1099,"base":10}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1810,"base":10},"right_expr":{"type":"numeric_atoms","value":5580,"base":10}}}}},"used_operators":["48vC8HMD2b","6B9nyZLogK","Z57zeUYC9z","zashukvMKz","MRPaB8lBjK","nREPSIbpBE","5KTvxBwnZo","EWw2JM7wp4","5twsqlHp2o","s1XTVnmDOJ","rxpJgHHUmx","W4YGzv6Whe"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","BjRHVeLaeN","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","AHs5Up7iyr"],"result":"⊺⇮1944805","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1440","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=2188, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2576","layer":4},{"info":"compute unary expreesion, input=2576, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-2358","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-2358, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=18248","layer":2},{"info":"compute unary expreesion, input=18248, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"number node, value=2308","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=1607, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5532","layer":3},{"info":"number node, value=1886","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=2533, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4016","layer":3},{"info":"compute binary expreesion, left_input=5532, right_input=-4016, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5048","layer":2},{"info":"number node, value=4779","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=4779, right_input=1099, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1810","layer":4},{"info":"number node, value=5580","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=5580, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7390","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7390, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5048, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1944805","layer":0}],"base":10,"result_base":10,"text":"(≑⋹(⊺⇮1440⫗⊷⫓⊺⇮2188⨔≚≋(⊺⇮2576⇉⇱⇎)))⫘(((⊺⇮2308⪉⨛⊺⇮1607)≒∊⊺⇮1886⊢⊺⇮2533)⨚(⊺⇮4779≭⊺⇮1099≓∲(⊺⇮1810+⊺⇮5580)))=⊺⇮1944805","reverse_text":"⊺⇮1944805=(≑⋹(⊺⇮1440⫗⊷⫓⊺⇮2188⨔≚≋(⊺⇮2576⇉⇱⇎)))⫘(((⊺⇮2308⪉⨛⊺⇮1607)≒∊⊺⇮1886⊢⊺⇮2533)⨚(⊺⇮4779≭⊺⇮1099≓∲(⊺⇮1810+⊺⇮5580)))","cot":[{"info":"⊺⇮1440⫗⊷⫓⊺⇮2188=⊺⇮-134","layer":3},{"info":"⊺⇮2576⇉⇱⇎=⊺⇮-2358","layer":3},{"info":"⊺⇮-134⨔≚≋⊺⇮-2358=⊺⇮18248","layer":2},{"info":"≑⋹⊺⇮18248=⊺⇮1650","layer":1},{"info":"⊺⇮2308⪉⨛⊺⇮1607=⊺⇮5532","layer":3},{"info":"⊺⇮1886⊢⊺⇮2533=⊺⇮-4016","layer":3},{"info":"⊺⇮5532≒∊⊺⇮-4016=⊺⇮-5048","layer":2},{"info":"⊺⇮4779≭⊺⇮1099=NaN","layer":3},{"info":"⊺⇮1810+⊺⇮5580=⊺⇮7390","layer":3},{"info":"NaN≓∲⊺⇮7390=NaN","layer":2},{"info":"⊺⇮-5048⨚NaN=NaN","layer":1},{"info":"⊺⇮1650⫘NaN=⊺⇮1944805","layer":0}]}
{"id":991,"expression_no_base_symbol":"($1956$⋛$9114$≒∊($4035$≥⨤⩑$1206$)⩏)⪮%⊝((⇁⨣⪵$3279$≝⊿$1150$)⫒⫫($1974$∑⇟⊟$7860$)⪃⊛⇣($2893$⋅⇍$1146$))","expression":"(⊺⇮1956⋛⊺⇮9114≒∊(⊺⇮4035≥⨤⩑⊺⇮1206)⩏)⪮%⊝((⇁⨣⪵⊺⇮3279≝⊿⊺⇮1150)⫒⫫(⊺⇮1974∑⇟⊟⊺⇮7860)⪃⊛⇣(⊺⇮2893⋅⇍⊺⇮1146))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1444,"operation_count":11,"complexity_ratio":131.27272727272728,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1956,"base":10},"right_expr":{"type":"numeric_atoms","value":9114,"base":10}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4035,"base":10},"right_expr":{"type":"numeric_atoms","value":1206,"base":10}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3279,"base":10},"right_expr":{"type":"numeric_atoms","value":1150,"base":10}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1974,"base":10},"right_expr":{"type":"numeric_atoms","value":7860,"base":10}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2893,"base":10},"right_expr":{"type":"numeric_atoms","value":1146,"base":10}}}}},"used_operators":["IWmyXbctLI","iA2gmKZ3Wj","5KTvxBwnZo","YbUVn0Rbpy","gJLn6v0xnP","6Ko8hGgeMq","inkyxCbjAn","OKKcZfAt5B","rrgAzCduG9","U7g4x0WXJJ","AdZkA7nFnk"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","z6LnFrNh4i","Tcnh7f0tEr","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","B5M0gjZbta","12rbrZMWeM","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1956","layer":4},{"info":"number node, value=9114","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=9114, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-114588","layer":3},{"info":"number node, value=4035","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=1206, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-114588, right_input=1234, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=115072","layer":2},{"info":"compute unary expreesion, input=115072, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"number node, value=3279","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=1150, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6112","layer":3},{"info":"compute unary expreesion, input=-6112, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1974","layer":4},{"info":"number node, value=7860","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=7860, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2893","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=1146, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1956⋛⊺⇮9114≒∊(⊺⇮4035≥⨤⩑⊺⇮1206)⩏)⪮%⊝((⇁⨣⪵⊺⇮3279≝⊿⊺⇮1150)⫒⫫(⊺⇮1974∑⇟⊟⊺⇮7860)⪃⊛⇣(⊺⇮2893⋅⇍⊺⇮1146))=NaN","reverse_text":"NaN=(⊺⇮1956⋛⊺⇮9114≒∊(⊺⇮4035≥⨤⩑⊺⇮1206)⩏)⪮%⊝((⇁⨣⪵⊺⇮3279≝⊿⊺⇮1150)⫒⫫(⊺⇮1974∑⇟⊟⊺⇮7860)⪃⊛⇣(⊺⇮2893⋅⇍⊺⇮1146))","cot":[{"info":"⊺⇮1956⋛⊺⇮9114=⊺⇮-114588","layer":3},{"info":"⊺⇮4035≥⨤⩑⊺⇮1206=⊺⇮1234","layer":3},{"info":"⊺⇮-114588≒∊⊺⇮1234=⊺⇮115072","layer":2},{"info":"⊺⇮115072⩏=⊺⇮0","layer":1},{"info":"⊺⇮3279≝⊿⊺⇮1150=⊺⇮-6112","layer":3},{"info":"⇁⨣⪵⊺⇮-6112=NaN","layer":2},{"info":"⊺⇮1974∑⇟⊟⊺⇮7860=NaN","layer":3},{"info":"⊺⇮2893⋅⇍⊺⇮1146=⊺⇮-22","layer":3},{"info":"NaN⪃⊛⇣⊺⇮-22=⊺⇮1234","layer":2},{"info":"NaN⫒⫫⊺⇮1234=NaN","layer":1},{"info":"⊺⇮0⪮%⊝NaN=NaN","layer":0}]}
{"id":992,"expression_no_base_symbol":"(⋃(≘$3466$))⪭≯($2600$⫗⊷⫓$1291$⩺⪪$3334$⨽∌$3553$)⊍⩺⋍($7438$⩘$2594$+$3815$⇌⫙⪟$2531$)∴($4722$⋹⋡⊁$1213$⪭≯$1298$⊱⇼⊻$1041$)","expression":"(⋃(≘⊺⇮3466))⪭≯(⊺⇮2600⫗⊷⫓⊺⇮1291⩺⪪⊺⇮3334⨽∌⊺⇮3553)⊍⩺⋍(⊺⇮7438⩘⊺⇮2594+⊺⇮3815⇌⫙⪟⊺⇮2531)∴(⊺⇮4722⋹⋡⊁⊺⇮1213⪭≯⊺⇮1298⊱⇼⊻⊺⇮1041)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1066036,"operation_count":14,"complexity_ratio":76145.42857142857,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":3466,"base":10}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2600,"base":10},"right_expr":{"type":"numeric_atoms","value":1291,"base":10}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3334,"base":10},"right_expr":{"type":"numeric_atoms","value":3553,"base":10}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":7438,"base":10},"right_expr":{"type":"numeric_atoms","value":2594,"base":10}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3815,"base":10},"right_expr":{"type":"numeric_atoms","value":2531,"base":10}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4722,"base":10},"right_expr":{"type":"numeric_atoms","value":1213,"base":10}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1298,"base":10},"right_expr":{"type":"numeric_atoms","value":1041,"base":10}}}}},"used_operators":["OXDGMFPWZM","XAx5wpdLa6","3mBM5G4a3l","tcjXMdvYtA","uvdQJvN4PV","zashukvMKz","9samAPKr6k","hrf7POJlIJ","W4YGzv6Whe","cHh1gJQ2o6","AFVx7xoS7T","As8RqfVLgs","FyVja0WsTP"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","g55IO6H4Gj","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3466","layer":4},{"info":"compute unary expreesion, input=3466, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=7643314","layer":3},{"info":"compute unary expreesion, input=7643314, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=15286730","layer":2},{"info":"number node, value=2600","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=2600, right_input=1291, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=3334","layer":4},{"info":"number node, value=3553","layer":4},{"info":"compute binary expreesion, left_input=3334, right_input=3553, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-13434","layer":2},{"info":"compute binary expreesion, left_input=15286730, right_input=-13434, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=7438","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=7438, right_input=2594, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3815","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=3815, right_input=2531, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=113, op_id = W4YGzv6Whe binary_op_definition= 'None', output=273","layer":2},{"info":"number node, value=4722","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=4722, right_input=1213, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1963","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=1041, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=1963, right_input=434, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=273, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=2194","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2194, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⋃(≘⊺⇮3466))⪭≯(⊺⇮2600⫗⊷⫓⊺⇮1291⩺⪪⊺⇮3334⨽∌⊺⇮3553)⊍⩺⋍(⊺⇮7438⩘⊺⇮2594+⊺⇮3815⇌⫙⪟⊺⇮2531)∴(⊺⇮4722⋹⋡⊁⊺⇮1213⪭≯⊺⇮1298⊱⇼⊻⊺⇮1041)=NaN","reverse_text":"NaN=(⋃(≘⊺⇮3466))⪭≯(⊺⇮2600⫗⊷⫓⊺⇮1291⩺⪪⊺⇮3334⨽∌⊺⇮3553)⊍⩺⋍(⊺⇮7438⩘⊺⇮2594+⊺⇮3815⇌⫙⪟⊺⇮2531)∴(⊺⇮4722⋹⋡⊁⊺⇮1213⪭≯⊺⇮1298⊱⇼⊻⊺⇮1041)","cot":[{"info":"≘⊺⇮3466=⊺⇮7643314","layer":3},{"info":"⋃⊺⇮7643314=⊺⇮15286730","layer":2},{"info":"⊺⇮2600⫗⊷⫓⊺⇮1291=⊺⇮-134","layer":3},{"info":"⊺⇮3334⨽∌⊺⇮3553=⊺⇮0","layer":3},{"info":"⊺⇮-134⩺⪪⊺⇮0=⊺⇮-13434","layer":2},{"info":"⊺⇮15286730⪭≯⊺⇮-13434=NaN","layer":1},{"info":"⊺⇮7438⩘⊺⇮2594=⊺⇮160","layer":3},{"info":"⊺⇮3815⇌⫙⪟⊺⇮2531=⊺⇮113","layer":3},{"info":"⊺⇮160+⊺⇮113=⊺⇮273","layer":2},{"info":"⊺⇮4722⋹⋡⊁⊺⇮1213=⊺⇮1963","layer":3},{"info":"⊺⇮1298⊱⇼⊻⊺⇮1041=⊺⇮434","layer":3},{"info":"⊺⇮1963⪭≯⊺⇮434=NaN","layer":2},{"info":"⊺⇮273∴NaN=⊺⇮2194","layer":1},{"info":"NaN⊍⩺⋍⊺⇮2194=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"(⫯$4737$⫗⊷⫓$2159$)↓((∨∊⋏$4559$)≄⊠($3368$≳⇉$1128$))⇣⩺⋵(($2079$⊉≛↸$1808$)∀⇚≩($8493$⩷∴$1139$)≚⋢)","expression":"(⫯⊺⇮4737⫗⊷⫓⊺⇮2159)↓((∨∊⋏⊺⇮4559)≄⊠(⊺⇮3368≳⇉⊺⇮1128))⇣⩺⋵((⊺⇮2079⊉≛↸⊺⇮1808)∀⇚≩(⊺⇮8493⩷∴⊺⇮1139)≚⋢)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20790412,"operation_count":11,"complexity_ratio":1890037.4545454546,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4737,"base":10},"right_expr":{"type":"numeric_atoms","value":2159,"base":10}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":4559,"base":10}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3368,"base":10},"right_expr":{"type":"numeric_atoms","value":1128,"base":10}}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2079,"base":10},"right_expr":{"type":"numeric_atoms","value":1808,"base":10}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8493,"base":10},"right_expr":{"type":"numeric_atoms","value":1139,"base":10}}}}},"used_operators":["F4yD0voBRQ","Af076pWI7l","H6BK1Evt7c","zashukvMKz","vXNesLlMH1","R5aXW34M0v","V0kx6qeWkN","MahUMFw56D","LRNGc0VcxI","DZ8iAZOCBD","9FxExcQeMw"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","3ViojmjbAp","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⊺⇮-260","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=4737","layer":4},{"info":"number node, value=2159","layer":4},{"info":"compute binary expreesion, left_input=4737, right_input=2159, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=17436","layer":2},{"info":"number node, value=4559","layer":4},{"info":"compute unary expreesion, input=4559, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=96215","layer":3},{"info":"number node, value=3368","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=3368, right_input=1128, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=96215, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=17436, right_input=1500, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=2079","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=2079, right_input=1808, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4158","layer":3},{"info":"number node, value=8493","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=8493, right_input=1139, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=14676","layer":3},{"info":"compute binary expreesion, left_input=4158, right_input=14676, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-89, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":10,"result_base":10,"text":"(⫯⊺⇮4737⫗⊷⫓⊺⇮2159)↓((∨∊⋏⊺⇮4559)≄⊠(⊺⇮3368≳⇉⊺⇮1128))⇣⩺⋵((⊺⇮2079⊉≛↸⊺⇮1808)∀⇚≩(⊺⇮8493⩷∴⊺⇮1139)≚⋢)=⊺⇮-260","reverse_text":"⊺⇮-260=(⫯⊺⇮4737⫗⊷⫓⊺⇮2159)↓((∨∊⋏⊺⇮4559)≄⊠(⊺⇮3368≳⇉⊺⇮1128))⇣⩺⋵((⊺⇮2079⊉≛↸⊺⇮1808)∀⇚≩(⊺⇮8493⩷∴⊺⇮1139)≚⋢)","cot":[{"info":"⊺⇮4737⫗⊷⫓⊺⇮2159=⊺⇮-134","layer":3},{"info":"⫯⊺⇮-134=⊺⇮17436","layer":2},{"info":"∨∊⋏⊺⇮4559=⊺⇮96215","layer":3},{"info":"⊺⇮3368≳⇉⊺⇮1128=NaN","layer":3},{"info":"⊺⇮96215≄⊠NaN=⊺⇮1500","layer":2},{"info":"⊺⇮17436↓⊺⇮1500=⊺⇮-134","layer":1},{"info":"⊺⇮2079⊉≛↸⊺⇮1808=⊺⇮4158","layer":3},{"info":"⊺⇮8493⩷∴⊺⇮1139=⊺⇮14676","layer":3},{"info":"⊺⇮4158∀⇚≩⊺⇮14676=NaN","layer":2},{"info":"NaN≚⋢=⊺⇮-89","layer":1},{"info":"⊺⇮-134⇣⩺⋵⊺⇮-89=⊺⇮-260","layer":0}]}
{"id":994,"expression_no_base_symbol":"⇜(⩦⊞(≉($1309$↱$2058$)))","expression":"⇜(⩦⊞(≉(⊺⇮1309↱⊺⇮2058)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1501,"operation_count":4,"complexity_ratio":375.25,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1309,"base":10},"right_expr":{"type":"numeric_atoms","value":2058,"base":10}}}}},"used_operators":["lFBm8KRb8F","u7fv1HBiaC","e1ybzncUwg","SR5kFfdi6N"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⊺⇮232","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1309","layer":4},{"info":"number node, value=2058","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=2058, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-5652","layer":3},{"info":"compute unary expreesion, input=-5652, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-5652","layer":2},{"info":"compute unary expreesion, input=-5652, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-11360","layer":1},{"info":"compute unary expreesion, input=-11360, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":0}],"base":10,"result_base":10,"text":"⇜(⩦⊞(≉(⊺⇮1309↱⊺⇮2058)))=⊺⇮232","reverse_text":"⊺⇮232=⇜(⩦⊞(≉(⊺⇮1309↱⊺⇮2058)))","cot":[{"info":"⊺⇮1309↱⊺⇮2058=⊺⇮-5652","layer":3},{"info":"≉⊺⇮-5652=⊺⇮-5652","layer":2},{"info":"⩦⊞⊺⇮-5652=⊺⇮-11360","layer":1},{"info":"⇜⊺⇮-11360=⊺⇮232","layer":0}]}
{"id":995,"expression_no_base_symbol":"(⊬↢($2578$≀⩗∶$2133$))⪃⊛⇣($3561$≹⇙⪍$1018$⋷$3844$⫗⊷⫓$2138$)⨲∙","expression":"(⊬↢(⊺⇮2578≀⩗∶⊺⇮2133))⪃⊛⇣(⊺⇮3561≹⇙⪍⊺⇮1018⋷⊺⇮3844⫗⊷⫓⊺⇮2138)⨲∙","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1661627,"operation_count":7,"complexity_ratio":237375.2857142857,"tree":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2578,"base":10},"right_expr":{"type":"numeric_atoms","value":2133,"base":10}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3561,"base":10},"right_expr":{"type":"numeric_atoms","value":1018,"base":10}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3844,"base":10},"right_expr":{"type":"numeric_atoms","value":2138,"base":10}}}}},"used_operators":["cRahaglYVE","rrgAzCduG9","WPoGxAaPR1","8INZBEW696","23Mk6UjR3U","AHs5Up7iyr","zashukvMKz"],"dependent_operators":["XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⊺⇮14874094","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=2578","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=2133, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-2584","layer":2},{"info":"number node, value=3561","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=3561, right_input=1018, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3844","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=3844, right_input=2138, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2584, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=14874094","layer":0}],"base":10,"result_base":10,"text":"(⊬↢(⊺⇮2578≀⩗∶⊺⇮2133))⪃⊛⇣(⊺⇮3561≹⇙⪍⊺⇮1018⋷⊺⇮3844⫗⊷⫓⊺⇮2138)⨲∙=⊺⇮14874094","reverse_text":"⊺⇮14874094=(⊬↢(⊺⇮2578≀⩗∶⊺⇮2133))⪃⊛⇣(⊺⇮3561≹⇙⪍⊺⇮1018⋷⊺⇮3844⫗⊷⫓⊺⇮2138)⨲∙","cot":[{"info":"⊺⇮2578≀⩗∶⊺⇮2133=⊺⇮0","layer":3},{"info":"⊬↢⊺⇮0=⊺⇮-2584","layer":2},{"info":"⊺⇮3561≹⇙⪍⊺⇮1018=NaN","layer":3},{"info":"⊺⇮3844⫗⊷⫓⊺⇮2138=⊺⇮-134","layer":3},{"info":"NaN⋷⊺⇮-134=NaN","layer":2},{"info":"⊺⇮-2584⪃⊛⇣NaN=⊺⇮1234","layer":1},{"info":"⊺⇮1234⨲∙=⊺⇮14874094","layer":0}]}
{"id":996,"expression_no_base_symbol":"($3970$∠⫱$5684$⊓⋫)⩒⫫(($1073$⩍⋽⫝̸$3235$)⨎⋸⪻)⋝⋈⪟((⨞⊢$3597$)⨓$3760$⨪↰⇹$3298$⩺⪪$1775$↞⋁$1272$⪶≀⋏$1624$∇⊂⋱$8236$)","expression":"(⊺⇮3970∠⫱⊺⇮5684⊓⋫)⩒⫫((⊺⇮1073⩍⋽⫝̸⊺⇮3235)⨎⋸⪻)⋝⋈⪟((⨞⊢⊺⇮3597)⨓⊺⇮3760⨪↰⇹⊺⇮3298⩺⪪⊺⇮1775↞⋁⊺⇮1272⪶≀⋏⊺⇮1624∇⊂⋱⊺⇮8236)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7923,"operation_count":13,"complexity_ratio":609.4615384615385,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3970,"base":10},"right_expr":{"type":"numeric_atoms","value":5684,"base":10}}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1073,"base":10},"right_expr":{"type":"numeric_atoms","value":3235,"base":10}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3597,"base":10}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3760,"base":10},"right_expr":{"type":"numeric_atoms","value":3298,"base":10}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1775,"base":10},"right_expr":{"type":"numeric_atoms","value":1272,"base":10}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1624,"base":10},"right_expr":{"type":"numeric_atoms","value":8236,"base":10}}}}},"used_operators":["2DDjHMKMc0","KFSx94NKJn","IqGBaFP0uj","QvoQhV0rrE","Dk5vyLCiGd","BiWNJpBvwn","uvdQJvN4PV","3ViojmjbAp","xUOZtlo3hN","tmPS8pqC7x","zR4jO40bMj","RqrPlJkxDo","nhYeJWJD5X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","IWmyXbctLI","Ph9nP6C5qx","xUOZtlo3hN","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3970","layer":4},{"info":"number node, value=5684","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=5684, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1362","layer":2},{"info":"number node, value=1073","layer":4},{"info":"number node, value=3235","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=3235, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2289","layer":3},{"info":"compute unary expreesion, input=2289, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=4894","layer":2},{"info":"compute binary expreesion, left_input=-1362, right_input=4894, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"number node, value=3597","layer":4},{"info":"compute unary expreesion, input=3597, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3771","layer":3},{"info":"number node, value=3760","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=3760, right_input=3298, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3760","layer":3},{"info":"compute binary expreesion, left_input=-3771, right_input=3760, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3763","layer":2},{"info":"number node, value=1775","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1775, right_input=1272, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1624","layer":4},{"info":"number node, value=8236","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=8236, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2702","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2702, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3763, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮3970∠⫱⊺⇮5684⊓⋫)⩒⫫((⊺⇮1073⩍⋽⫝̸⊺⇮3235)⨎⋸⪻)⋝⋈⪟((⨞⊢⊺⇮3597)⨓⊺⇮3760⨪↰⇹⊺⇮3298⩺⪪⊺⇮1775↞⋁⊺⇮1272⪶≀⋏⊺⇮1624∇⊂⋱⊺⇮8236)=NaN","reverse_text":"NaN=(⊺⇮3970∠⫱⊺⇮5684⊓⋫)⩒⫫((⊺⇮1073⩍⋽⫝̸⊺⇮3235)⨎⋸⪻)⋝⋈⪟((⨞⊢⊺⇮3597)⨓⊺⇮3760⨪↰⇹⊺⇮3298⩺⪪⊺⇮1775↞⋁⊺⇮1272⪶≀⋏⊺⇮1624∇⊂⋱⊺⇮8236)","cot":[{"info":"⊺⇮3970∠⫱⊺⇮5684=⊺⇮1234","layer":3},{"info":"⊺⇮1234⊓⋫=⊺⇮-1362","layer":2},{"info":"⊺⇮1073⩍⋽⫝̸⊺⇮3235=⊺⇮2289","layer":3},{"info":"⊺⇮2289⨎⋸⪻=⊺⇮4894","layer":2},{"info":"⊺⇮-1362⩒⫫⊺⇮4894=⊺⇮160","layer":1},{"info":"⨞⊢⊺⇮3597=⊺⇮-3771","layer":3},{"info":"⊺⇮3760⨪↰⇹⊺⇮3298=⊺⇮3760","layer":3},{"info":"⊺⇮-3771⨓⊺⇮3760=⊺⇮-3763","layer":2},{"info":"⊺⇮1775↞⋁⊺⇮1272=NaN","layer":3},{"info":"⊺⇮1624∇⊂⋱⊺⇮8236=⊺⇮2702","layer":3},{"info":"NaN⪶≀⋏⊺⇮2702=NaN","layer":2},{"info":"⊺⇮-3763⩺⪪NaN=NaN","layer":1},{"info":"⊺⇮160⋝⋈⪟NaN=NaN","layer":0}]}
{"id":997,"expression_no_base_symbol":"((≑⋹$1070$)↡⊰⫅$2599$⪄$4806$)≴⪞⇿($1512$∙⊟$1294$⇼⇔∾$2732$⩒⫫$2290$)⪒⊣⊆($4403$⩼⇪↪$1225$⨼⩣($2131$⇷$2238$)⩵∡(∥⊫($1115$⨽⪊≇)))","expression":"((≑⋹⊺⇮1070)↡⊰⫅⊺⇮2599⪄⊺⇮4806)≴⪞⇿(⊺⇮1512∙⊟⊺⇮1294⇼⇔∾⊺⇮2732⩒⫫⊺⇮2290)⪒⊣⊆(⊺⇮4403⩼⇪↪⊺⇮1225⨼⩣(⊺⇮2131⇷⊺⇮2238)⩵∡(∥⊫(⊺⇮1115⨽⪊≇)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5631613,"operation_count":14,"complexity_ratio":402258.0714285714,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1070,"base":10}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2599,"base":10},"right_expr":{"type":"numeric_atoms","value":4806,"base":10}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1512,"base":10},"right_expr":{"type":"numeric_atoms","value":1294,"base":10}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2732,"base":10},"right_expr":{"type":"numeric_atoms","value":2290,"base":10}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4403,"base":10},"right_expr":{"type":"numeric_atoms","value":1225,"base":10}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2131,"base":10},"right_expr":{"type":"numeric_atoms","value":2238,"base":10}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":1115,"base":10}}}}},"used_operators":["eRqsBgTDFp","lvlrscuwVU","VCtxkLNOzz","6B9nyZLogK","SUmda5xLS4","tifHPKVTfV","SxTAKzQCrw","KFSx94NKJn","Y7wcNGrDQJ","JxwMv5le6e","ocnLzx9CaJ","mp7IySMOzn","P8v4zCKN1o","nlCqmYiOvY"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1070","layer":4},{"info":"compute unary expreesion, input=1070, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=2599","layer":4},{"info":"number node, value=4806","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=4806, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-399965","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-399965, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=1512","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=1294, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=29502","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=2290, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2430","layer":3},{"info":"compute binary expreesion, left_input=29502, right_input=2430, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-27072","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-27072, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"number node, value=4403","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=4403, right_input=1225, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-552","layer":3},{"info":"number node, value=2131","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=2238, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4476","layer":3},{"info":"compute binary expreesion, left_input=-552, right_input=4476, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1115","layer":4},{"info":"compute unary expreesion, input=1115, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=1704","layer":3},{"info":"compute unary expreesion, input=1704, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2572","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2572, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"((≑⋹⊺⇮1070)↡⊰⫅⊺⇮2599⪄⊺⇮4806)≴⪞⇿(⊺⇮1512∙⊟⊺⇮1294⇼⇔∾⊺⇮2732⩒⫫⊺⇮2290)⪒⊣⊆(⊺⇮4403⩼⇪↪⊺⇮1225⨼⩣(⊺⇮2131⇷⊺⇮2238)⩵∡(∥⊫(⊺⇮1115⨽⪊≇)))=NaN","reverse_text":"NaN=((≑⋹⊺⇮1070)↡⊰⫅⊺⇮2599⪄⊺⇮4806)≴⪞⇿(⊺⇮1512∙⊟⊺⇮1294⇼⇔∾⊺⇮2732⩒⫫⊺⇮2290)⪒⊣⊆(⊺⇮4403⩼⇪↪⊺⇮1225⨼⩣(⊺⇮2131⇷⊺⇮2238)⩵∡(∥⊫(⊺⇮1115⨽⪊≇)))","cot":[{"info":"≑⋹⊺⇮1070=⊺⇮1650","layer":3},{"info":"⊺⇮2599⪄⊺⇮4806=⊺⇮-399965","layer":3},{"info":"⊺⇮1650↡⊰⫅⊺⇮-399965=NaN","layer":2},{"info":"⊺⇮1512∙⊟⊺⇮1294=⊺⇮29502","layer":3},{"info":"⊺⇮2732⩒⫫⊺⇮2290=⊺⇮2430","layer":3},{"info":"⊺⇮29502⇼⇔∾⊺⇮2430=⊺⇮-27072","layer":2},{"info":"NaN≴⪞⇿⊺⇮-27072=NaN","layer":1},{"info":"⊺⇮4403⩼⇪↪⊺⇮1225=⊺⇮-552","layer":3},{"info":"⊺⇮2131⇷⊺⇮2238=⊺⇮4476","layer":3},{"info":"⊺⇮-552⨼⩣⊺⇮4476=NaN","layer":2},{"info":"⊺⇮1115⨽⪊≇=⊺⇮1704","layer":3},{"info":"∥⊫⊺⇮1704=⊺⇮2572","layer":2},{"info":"NaN⩵∡⊺⇮2572=NaN","layer":1},{"info":"NaN⪒⊣⊆NaN=NaN","layer":0}]}
{"id":998,"expression_no_base_symbol":"($1749$⪕$1770$)∋$1919$∴$4484$⇴∐(($3509$⨻⩈⩔$1086$)⫏⊷)⋻⩜⩜(⨣⨃⇪($5151$≹⇙⪍$4965$))≁($6998$⪡$2212$⨑≵⋬$1138$↹⊜$1037$)","expression":"(⊺⇮1749⪕⊺⇮1770)∋⊺⇮1919∴⊺⇮4484⇴∐((⊺⇮3509⨻⩈⩔⊺⇮1086)⫏⊷)⋻⩜⩜(⨣⨃⇪(⊺⇮5151≹⇙⪍⊺⇮4965))≁(⊺⇮6998⪡⊺⇮2212⨑≵⋬⊺⇮1138↹⊜⊺⇮1037)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7488294,"operation_count":13,"complexity_ratio":576022.6153846154,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1749,"base":10},"right_expr":{"type":"numeric_atoms","value":1770,"base":10}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1919,"base":10},"right_expr":{"type":"numeric_atoms","value":4484,"base":10}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3509,"base":10},"right_expr":{"type":"numeric_atoms","value":1086,"base":10}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5151,"base":10},"right_expr":{"type":"numeric_atoms","value":4965,"base":10}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":6998,"base":10},"right_expr":{"type":"numeric_atoms","value":2212,"base":10}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1138,"base":10},"right_expr":{"type":"numeric_atoms","value":1037,"base":10}}}}},"used_operators":["oDCm7WA9JY","HnzytWxmAO","ukq6epAj5P","umQnsF7QlU","hrf7POJlIJ","dcShxvzhyw","nEsXyWgiOK","8N2wDY1A35","AcOhelriW5","AHs5Up7iyr","XnXgA4xnOs","oraRL2iQuh","9bazX3JMtO"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","dWAJyo7jo9","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1749","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=1770, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2629","layer":3},{"info":"number node, value=1919","layer":4},{"info":"number node, value=4484","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=4484, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5486","layer":3},{"info":"compute binary expreesion, left_input=2629, right_input=5486, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=11450028","layer":2},{"info":"number node, value=3509","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=1086, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=19671","layer":3},{"info":"compute unary expreesion, input=19671, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=11450028, right_input=-820, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=5151","layer":4},{"info":"number node, value=4965","layer":4},{"info":"compute binary expreesion, left_input=5151, right_input=4965, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=6998","layer":4},{"info":"number node, value=2212","layer":4},{"info":"compute binary expreesion, left_input=6998, right_input=2212, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1138","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1037, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1968","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-1968, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=20658","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=20658, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=482591","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=482591, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":10,"result_base":10,"text":"(⊺⇮1749⪕⊺⇮1770)∋⊺⇮1919∴⊺⇮4484⇴∐((⊺⇮3509⨻⩈⩔⊺⇮1086)⫏⊷)⋻⩜⩜(⨣⨃⇪(⊺⇮5151≹⇙⪍⊺⇮4965))≁(⊺⇮6998⪡⊺⇮2212⨑≵⋬⊺⇮1138↹⊜⊺⇮1037)=NaN","reverse_text":"NaN=(⊺⇮1749⪕⊺⇮1770)∋⊺⇮1919∴⊺⇮4484⇴∐((⊺⇮3509⨻⩈⩔⊺⇮1086)⫏⊷)⋻⩜⩜(⨣⨃⇪(⊺⇮5151≹⇙⪍⊺⇮4965))≁(⊺⇮6998⪡⊺⇮2212⨑≵⋬⊺⇮1138↹⊜⊺⇮1037)","cot":[{"info":"⊺⇮1749⪕⊺⇮1770=⊺⇮2629","layer":3},{"info":"⊺⇮1919∴⊺⇮4484=⊺⇮5486","layer":3},{"info":"⊺⇮2629∋⊺⇮5486=⊺⇮11450028","layer":2},{"info":"⊺⇮3509⨻⩈⩔⊺⇮1086=⊺⇮19671","layer":3},{"info":"⊺⇮19671⫏⊷=⊺⇮-820","layer":2},{"info":"⊺⇮11450028⇴∐⊺⇮-820=NaN","layer":1},{"info":"⊺⇮5151≹⇙⪍⊺⇮4965=NaN","layer":3},{"info":"⨣⨃⇪NaN=⊺⇮1405","layer":2},{"info":"⊺⇮6998⪡⊺⇮2212=⊺⇮107","layer":3},{"info":"⊺⇮1138↹⊜⊺⇮1037=⊺⇮-1968","layer":3},{"info":"⊺⇮107⨑≵⋬⊺⇮-1968=⊺⇮20658","layer":2},{"info":"⊺⇮1405≁⊺⇮20658=⊺⇮482591","layer":1},{"info":"NaN⋻⩜⩜⊺⇮482591=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"⊲⪭(($1826$↹⊜$1590$⩚⊴⇥(↨$1735$))⪮%⊝(⇨($3657$⇌⫙⪟$1129$)))","expression":"⊲⪭((⊺⇮1826↹⊜⊺⇮1590⩚⊴⇥(↨⊺⇮1735))⪮%⊝(⇨(⊺⇮3657⇌⫙⪟⊺⇮1129)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":215,"operation_count":7,"complexity_ratio":30.714285714285715,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1826,"base":10},"right_expr":{"type":"numeric_atoms","value":1590,"base":10}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1735,"base":10}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3657,"base":10},"right_expr":{"type":"numeric_atoms","value":1129,"base":10}}}}},"used_operators":["k7HXdKtiEU","IWmyXbctLI","NTOWxs364D","9bazX3JMtO","jiX4gk2v2Q","G9tJMlZ94a","AFVx7xoS7T"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rGHVDoGpnC","oZj3VtZNQx","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=1826","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=1590, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2804","layer":3},{"info":"number node, value=1735","layer":4},{"info":"compute unary expreesion, input=1735, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2804, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=3657","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=3657, right_input=1129, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":0}],"base":10,"result_base":10,"text":"⊲⪭((⊺⇮1826↹⊜⊺⇮1590⩚⊴⇥(↨⊺⇮1735))⪮%⊝(⇨(⊺⇮3657⇌⫙⪟⊺⇮1129)))=NaN","reverse_text":"NaN=⊲⪭((⊺⇮1826↹⊜⊺⇮1590⩚⊴⇥(↨⊺⇮1735))⪮%⊝(⇨(⊺⇮3657⇌⫙⪟⊺⇮1129)))","cot":[{"info":"⊺⇮1826↹⊜⊺⇮1590=⊺⇮-2804","layer":3},{"info":"↨⊺⇮1735=NaN","layer":3},{"info":"⊺⇮-2804⩚⊴⇥NaN=NaN","layer":2},{"info":"⊺⇮3657⇌⫙⪟⊺⇮1129=⊺⇮113","layer":3},{"info":"⇨⊺⇮113=⊺⇮0","layer":2},{"info":"NaN⪮%⊝⊺⇮0=NaN","layer":1},{"info":"⊲⪭NaN=NaN","layer":0}]}
{"id":1000,"expression_no_base_symbol":"⪲⇎(((↡$3776$)∈)⫚↹⊑($1373$⇉⇉)⊲⩕⊾($4604$⨎$6167$))","expression":"⪲⇎(((↡⊺⇮3776)∈)⫚↹⊑(⊺⇮1373⇉⇉)⊲⩕⊾(⊺⇮4604⨎⊺⇮6167))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":141,"operation_count":7,"complexity_ratio":20.142857142857142,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3776,"base":10}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1373,"base":10}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4604,"base":10},"right_expr":{"type":"numeric_atoms","value":6167,"base":10}}}}},"used_operators":["XPYlsWDdGa","dfKe02y8D2","ztP7wcbY7m","MXaNJeIAZ3","DmTXOeWf9t","diKm42VcIt","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⊺⇮-894","longer_result_info":{"target_base":10,"flag":true},"cot_info":[{"info":"number node, value=3776","layer":4},{"info":"compute unary expreesion, input=3776, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=33984","layer":3},{"info":"compute unary expreesion, input=33984, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=101281","layer":2},{"info":"number node, value=1373","layer":4},{"info":"compute unary expreesion, input=1373, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-78620","layer":3},{"info":"number node, value=4604","layer":4},{"info":"number node, value=6167","layer":4},{"info":"compute binary expreesion, left_input=4604, right_input=6167, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6167","layer":3},{"info":"compute binary expreesion, left_input=-78620, right_input=6167, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-178454","layer":2},{"info":"compute binary expreesion, left_input=101281, right_input=-178454, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-894","layer":0}],"base":10,"result_base":10,"text":"⪲⇎(((↡⊺⇮3776)∈)⫚↹⊑(⊺⇮1373⇉⇉)⊲⩕⊾(⊺⇮4604⨎⊺⇮6167))=⊺⇮-894","reverse_text":"⊺⇮-894=⪲⇎(((↡⊺⇮3776)∈)⫚↹⊑(⊺⇮1373⇉⇉)⊲⩕⊾(⊺⇮4604⨎⊺⇮6167))","cot":[{"info":"↡⊺⇮3776=⊺⇮33984","layer":3},{"info":"⊺⇮33984∈=⊺⇮101281","layer":2},{"info":"⊺⇮1373⇉⇉=⊺⇮-78620","layer":3},{"info":"⊺⇮4604⨎⊺⇮6167=⊺⇮6167","layer":3},{"info":"⊺⇮-78620⊲⩕⊾⊺⇮6167=⊺⇮-178454","layer":2},{"info":"⊺⇮101281⫚↹⊑⊺⇮-178454=⊺⇮-447","layer":1},{"info":"⪲⇎⊺⇮-447=⊺⇮-894","layer":0}]}